Hence, Nick had the option of using two £5 notes with various coins or a £20 note.
what is permutations ?Permutations in mathematics are configurations of a collection of things in a particular order. A alternative arrangement or ordering of a set of things is referred to as a permutation. The symbol n! (read as "n factorial"), which is the product of all positive numbers less than or equal to n, stands for the quantity of permutations that may be made of a set of n items. For instance, the following permutations are conceivable if we have a set of three items (a, b, and c): There are 6 permutations that can be generated, which can be calculated as 3! = 3 x 2 x 1.
given
We must find combinations of notes and coins that total £25.70 in order to establish the probable notes and coins Nick may have used. He used two notes and four coins, so we can infer the following:
2n + 4c = 25.70
where n is the note's value and c is the coin's value. Moreover, we are aware of the following notes and coins:
Coins: £2, £1, £0.50, £0.20, £0.10, £0.05, £0.02, and £0.01 Notes: £20 and £5
We can start by using the highest value notes and coins first to make the problem simpler.
In relation to the £20 note, we have:
2(£20) + 4c = £40 + 4c = £25.70
4c = £25.70 - £40 = -£14.30
Hence, Nick had the option of using two £5 notes with various coins or a £20 note.
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The complete question is:- Nick buys some fruit for £25.70
He pays the exact amount using two notes and four coins.
List the notes and coins (highest to lowest) Nick could have used. Units must be included.
Highest note
Notes
£20
£5
Coins
£0.50
£0.20
Highest coin
Answer:
Step-by-step explanation:
since he uses four coins to pay the 70 p, he would pay
£0.50 £0.10 £0.05 and another £0.05
he uses the notes £20 and £5
TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile?
Answer:
Kindly check explanation
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
Cost of purchasing 5 boxes of tiles :
$45 * 5 = $225
Cost of purchasing 19 boxes :
$42 * 19 = $798
Please someone help me with this
Answer:
ANSWER:C
Step-by-step explanation:
sana maka tulong
Homer plans to deposit $150 in the bank in one year. He plans to make the same deposit two years from today and three years from today. How much will Homer have in the bank in four years? Homer's bank pays an interest rate of 5.6%. $502 $689 $652 $476
After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.
Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.
After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.
Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.
Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.
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3. The relationship between the cost of a corsage and the number of flowers in the corsage is shown
below.
Number of Cost of
Flowers, 1 Corsage, c
2.
$7.00
3
$10.50
4
$14.00
5
$17.50
Which statement is true about the information in the table?
A The information in the table has a constant rate of change of 3.5.
B The information in the table has a constant rate of change of 2
C The information in the table has a constant rate of change of 7
D The information in the table does not have a constant rate of change
Answer:
A The information in the table has a constant rate of change of 3.5.
Step-by-step explanation:
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
Let y represent the cost of a corsage and x represent the number of flowers in the corsage
The table (x, y) has the points (2, 7) and (3, 10.5). The equation is given by:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-7=\frac{10.5-7}{3-2}(x-2)\\\\y-7=3.5(x-2)\\\\y-7=3.5x-7\\\\y=3.5x\)
Therefore the rate of change is 3.5
Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16, ...
Hint: Write a formula to help you. 1st term + common difference(desired term - 1)
Answer:
a₁₅ = 71
Step-by-step explanation:
The nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 - 1 = 5 , then
a₁₅ = 1 + (14 × 5) = 1 + 70 = 71
Step-by-step explanation:
hear is your answer in attachment
1. In a certain system of gears, the ratio of the number of teeth on the first gear to the number of teeth on the second gear is 7:3. If the first gear has 259 teeth, how many teeth does the second gear have? 2. A circle with diameter 250 cm has circumference 785 cm. How large is the diameter of a circle with circumference 15.7 cm?
Answer: 5
Step-by-step explanation:
Answer:
1. 111 teeth on the second gear.
2. Diameter = 5.0 cm
Step-by-step explanation:
1. The ratio is (7 teeth first gear)/(3 teeth second gear)
We can invert this to (3 teeth second gear)/(7 teeth first gear)
Now multiply by the teeth on the first gear:
[(3 teeth second gear)/(7 teeth first gear)]*(259 teeth first gear)
(3*259)/7 teeth second gear
111 teeth on the second gear.
2. Circumference = 2πr
Circle A: 2(π)(125cm)
Circumference = 285.4 cm
Circle B: 15.7 cm = 2(π)(r)
r = (15.7cm)/(2π)
r = 2.5 cm
Diameter = 5.0 cm
write an equation for a line perpendicular to the x-axis that passes through the point
The line perpendicular to the x-axis that passes through the point (h, k) is:
y = k
How to find the equation of the line?
Sadly we don't know the coordinates of the point, so i will use a general point (h, k).
We want to find a line perpendicular to the x-axis (so we must have a vertical line).
Then the line is of the form:
y = constant.
And if we want this line to pass through the point (h, k), then the constant must be equal to the y-coordinate of the point, which is h.
Then the linear equation is y = k.
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a) What is the median of this box plot?
b) What is the IQR of this box plot?
c) What is the minimum?
d) What is the maximum?
The given box plot answers are,
a) 6
b) 5
c)3
d) 5
What is box plot?
A suitable graphical representation of the concentration of the data is provided by box plots, often known as box-and-whisker plots or box-whisker plots. They also demonstrate how remote the extreme numbers are from the bulk of the data. Five numbers are used to create a box plot: the minimum value, first quartiles, median, third quartile, and maximum value.
Here in the given box plot middle line value is called median .Then ,
Median = 6
Now the maximum quartile = 8
The minimum quartile = 3
Now IQR is difference between the minimum and maximum quartile.
Then ,
=> IQR = 8-3 =5
Therefore the answers are
a) 6
b) 5
c)3
d) 5
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Wolfrich lived in Portugal and Brazil for a total period of 141414 months in order to learn Portuguese. He learned an average of 130130130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. How long did Wolfrich live in Portugal, and how long did he live in Brazil
Answer:
Wolfrich lived in Brazil for 5 months and 9 months in Portugal
Step-by-step explanation:
Given;
Total Months = 14
Total Words = 1920
Required
Find the time spent in Portugal and time spent in Brazil
Let P represent Portugal and B represent Brazil; This implies that
\(P + B = 14\) ---- Equation 1
Considering that he learnt 130 words per month in Portugal and 150 per month in Brazil; This implies that
\(130P + 150B = 1920\) --- Equation 2
Make P the subject of formula in equation 1
\(P = 14 - B\)
Substitute 14 - B for P in equation 2
\(130(14 - B) + 150B = 1920\)
Open Bracket
\(1820 - 130B + 150B = 1920\)
\(1820 + 20B = 1920\)
Subtract 1820 from both sides
\(1820 - 1820 + 20B = 1920 - 1820\)
\(20B = 100\)
Divide both sides by 20
\(\frac{20B}{20} = \frac{100}{20}\)
\(B = 5\)
Substitute 5 for B in \(P = 14 - B\)
\(P = 14 - 5\)
\(P = 9\)
Wolfrich lived in Brazil for 5 months and 9 months in Portugal
What is the answer?
-1.2x=12
775757874875875345634634563456
if 15 sandwiches are sold for 12 Rand what would 12 sandwiches be sold for
Answer:
$9.60 for 12 sandwiches
To solve the problem we will calculate the cost of 1 sandwich first.
The cost of 12 sandwiches is 9.6 Rands.
Given
15 sandwiches are sold for 12 Rand
What is the value of 1 sandwich?We know the cost of 15 sandwiches is 12 Rand, therefore,
\(\text{Cost of 1 Sandwich} = \dfrac{\rm 12\ Rand}{\rm 15\ Sandwich}\)
\(\text{Cost of 1 Sandwich} = \dfrac{12}{15} = 0.8\ \rm Rand/Sandwich\)
What is the cost of 12 Sandwiches?The cost of 12sandwiches can be calculated using the cost of 1 sandwich,
\(\text{Cost of 12 Sandwiches} = \text{Cost of 1 sandwich} \times 12\)
\(= 0.8 \times 12 = 9.6\ \rm Rand\)
Hence, the cost of 12 sandwiches is 9.6 Rands.
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PLS ANSWER FAST I WILL MARK THE BEST ONE BRAINLIEST PLS
Which of the following is equivalent to 4x^2+4xy+y^2 ?
A) 4(x^2+y^2)
B) 4(x+y)^2
C) 2(x+y)^2
D) (4x+y^)2
E) (2x+y)^2
Answer:
E
Step-by-step explanation:
if we decidedly factor this expression-
4x^2+4xy+y^2
= (2x)^2 + 2*2xy + y^2
= (2x + y)^2
as you can see it is a perfect square so it can be grouped into (2x+y)^2
hence your solution is option e
brainlist if CORRECT
If [x] + x + y =10 AND \y] + x - y =12 then find the value of x + y
Answer:
hope it helps
Step-by-step explanation:
2x+y=10
x-2y=12
2x+y=10
2x-4y=24
y=-14/5
2x=10+14/5
2x=64/5
x=32/5
Practice Problem F р You took Loan of 5000 for 24 months on 1% per month, 1- Find A = 23.55 2- Find the interest and principal in the 7th payment?
1- A = 23.55
2- In the 7th payment, the interest is $50 and the principal is $193.55.
To find the value of A, we can use the formula for calculating the monthly payment on a loan. Given that you took a loan of $5000 for 24 months at an interest rate of 1% per month, we can substitute these values into the formula. By doing so, we find that A is equal to $23.55.
To determine the interest and principal in the 7th payment, we need to understand how loan payments are typically structured. Each monthly payment consists of both interest and principal components. Initially, the interest portion is higher, while the principal portion gradually increases over time.
In this case, we know the loan amount is $5000, and the loan term is 24 months. To find the interest and principal in the 7th payment, we need to calculate the remaining balance after the 6th payment.
To calculate the remaining balance after the 6th payment, we subtract the total amount paid from the initial loan amount. The total amount paid after 6 payments can be calculated by multiplying the monthly payment (A) by the number of payments (6). In this case, 6 * $23.55 equals $141.30.
Next, we subtract the total amount paid ($141.30) from the initial loan amount ($5000) to get the remaining balance, which is $4858.70.
Now, we can calculate the interest in the 7th payment. Since the interest rate is 1% per month, the interest for the 7th payment can be found by multiplying the remaining balance ($4858.70) by 1% (0.01), resulting in $48.59. Therefore, the interest in the 7th payment is $48.59.
To find the principal in the 7th payment, we subtract the interest ($48.59) from the monthly payment ($23.55). This gives us $174.96. However, we need to adjust the principal amount to match the remaining balance after the 6th payment. Therefore, we subtract the remaining balance after the 6th payment ($4858.70) from $174.96 to find the adjusted principal, which is $193.55.
In summary, in the 7th payment, the interest is $48.59 and the principal is $193.55.
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Which undefined term can contain parallel lines?
line
plane
point
ray
A concave shaving mirror has a radius of curvature of +31.5 cm. It is positioned so that the (upright) image of a man's face is 3.40 times the size of the face. How far is the mirror from the face? Number i Units
The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.
Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40
We know that the formula for magnification is given by:
m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :
f = r/2where,f = focal length of the mirror
Using the mirror formula:1/f = 1/v - 1/u
We know that a concave mirror has a positive focal length, so we can replace f with r/2.
We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u
Also, from the given data, we have :m = v/u
Substituting the value of v/u in terms of m, we get: u/v = 1/m
So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u
Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm
Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.
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A parabola can be represented by the equation x2 = –20y.
What are the coordinates of the focus of the parabola?
(–5,0)
(5,0)
(0,5)
(0,–5)
Answer:
\( {x}^{2} = - 20y \\ y = - \frac{1}{20} {x}^{2} \\ { \tt{y = 4a {x}^{2} }} \\ a = - \frac{1}{5} \\ \\ { \tt{focus = (0, \: - 5)}}\)
The requried coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
The standard form of the equation of a parabola is (y - k) = (1 / 4p)(x - h)², where (h, k) is the vertex and p is the distance from the vertex to the focus. We can convert the given equation x² = -20y into this standard form by completing the square:
x² = -20y
x² / (-20) = y
x² / (-20) + 0 = y + 0
(x - 0)² = -20(y - 0)
Comparing this equation to the standard form, we can see that the vertex is at (h, k) = (0, 0), and that 4p = -20, so p = -5/2.
Since the focus is a distance of p below the vertex, the focus is at (h, k - p) = (0, -5/2), which is the same as (0, -2.5).
Therefore, the coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
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traffic engineers in florida want to reduce the rate of accidents between pedestrians and cars at intersections. research has shown that replacing stoplights with roundabouts (also called traffic circles) can improve safety for bikers and pedestrians. engineers wanted to test this concept so it can be applied across florida, and last year, they replaced five timed stoplights in a florida city with roundabouts. the accident rates at five intersections before the intervention were 5.1, 3.4, 6.1, 4.9, and 4.1 accidents per month. after installing roundabouts, the new rates of pedestrian accidents were 4.5, 3.6, 5.5, 4.8, and 4.1 accidents per month. does replacing stoplights with roundabouts significantly reduce the rate of accidents at intersections? use an alpha value of 0.05 in your decision.
Replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections based on the given data.
Based on the statistical analysis, replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections.
To test this hypothesis, we will use a paired t-test, which compares the means of two sets of paired data. The null hypothesis is that there is no significant difference between the mean accident rates before and after installing roundabouts, while the alternative hypothesis is that the mean accident rate after installing roundabouts is significantly lower than before.
Here are the steps to conduct the paired t-test:
Calculate the difference between the accident rates before and after installing roundabouts for each intersection.Calculate the mean and standard deviation of the differences.Calculate the t-value using the formula: t = (mean of the differences) / (standard deviation of the differences / sqrt(n)), where n is the number of paired observations.Calculate the degrees of freedom using the formula: df = n - 1.Find the critical t-value at a 0.05 level of significance and df from a t-distribution table.Compare the calculated t-value with the critical t-value. If the calculated t-value is greater than the critical t-value, reject the null hypothesis. If the calculated t-value is less than or equal to the critical t-value, fail to reject the null hypothesis.Using the given data, the differences between the accident rates before and after installing roundabouts are:
-0.6, 0.2, 0.6, -0.1, 0
The mean of the differences is 0.02, and the standard deviation is 0.43. There are 5 paired observations, so the degrees of freedom are 4.
Using the formula, we get:
t = 0.02 / (0.43 / √(5)) = 0.14
The critical t-value at a 0.05 level of significance and 4 degrees of freedom is 2.776 from a t-distribution table.
Since the calculated t-value (0.14) is less than the critical t-value (2.776), we fail to reject the null hypothesis. Therefore, we can conclude that replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections based on the given data.
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Find the area of this figure
Step-by-step explanation:
well, I see one large rectangle (20×6), and 2 small triangles with their horizontal sides being (20-8-6)/2 = 3 m. and their vertical joined side being 10-6 = 4 m.
the total area is simply the sum of the rectangle and the 2 triangles.
the rectangle is
20×6 = 120 m²
each triangle is
4×3/2 = 2×3 = 6 m²
we have 2 of them, so their combined area is 2×6 = 12 m².
the total area is
120 + 12 = 132 m²
8 thuusond divided by what number equal to 8 tens
Answer:
divided by 100
Step-by-step explanation:
8,000 / 100 = 8 in the tens, or 80
14% out of 100% equals how many people out of 10?
Answer:
1.4 people out of 10
Step-by-step explanation:
Just divide it by 10
Answer:
only 4 people
When his first child was born, a father put $3000 in a savings account that pays 4% annual interest, compounded quarterly. How much will be in the account on the child's 18th birthday? Answer rounded to the whole number
Answer:
$6141
Step-by-step explanation:
We can use the formula for compound interest to find the amount in the account after 18 years:
A = P(1 + r/n)^(nt)
Where:
A = the amount in the account after 18 years
P = the principal amount (initial deposit) = $3000
r = the annual interest rate = 4% = 0.04
n = the number of times the interest is compounded per year = 4 (quarterly)
t = the time in years = 18
Plugging in these values, we get:
A = 3000(1 + 4%/4)^(4*18)
A = 3000(1.01)^72
A = 3000*2047
A = 6141
Rounding to the nearest whole number, we get:
A = $6141
Therefore, there will be $6141 in the account on the child's 18th birthday.
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Anita earns 60 points every time she shops at a grocery store. She needs a total of 2,580 points to receive a free prize. So far, she has earned 480 points. How many more times will Anita have to shop at the grocery store in order to earn the additional points she needs for a free prize?
Answer:
35Step-by-step explanation:
So she needs 2580 points
she has already earned 480, so let's subtract that
that leaves up with 2100 more points
she earns 60 points every shop
so lets divide 2100 by 60
2100÷60=
35
Anita will have to shop at the grocery store 35 more times to earn the additional points she needs for a free prize.Answer:
43 total ,35 more times need to get 2,580
Step-by-step explanation:
2580:60=43
60x8=480
43-8=35
kim's family spends $62.50 on dinner . They leave an 18% tip . how much is their total bill after tip?
Answer:
Kim's Family spends $62.50 on dinner. They leave an 18% tip. After tip, their bill should come to $73.75
Step-by-step explanation:
If this isnt the correct answer then try 11.25 as the answer
let f : a → b and g : b → c be functions. prove the following statements. (a) if g ◦ f is injective then f is injective. (b) if g ◦ f is surjective then g is surjective
(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.
(b) Consumer surplus ≈ 434
(c) 434 dotars (d) -1155 dotars.
To calculate the deadweight loss, we need to find the area between the supply and demand curves from the equilibrium quantity to the quantity \(x_C\).
To find the equilibrium point, we need to set the demand and supply functions equal to each other and solve for the quantity.
Demand function: D(x) = 61 - x
Supply function: S(x) = 22 + 0.5x
Setting D(x) equal to S(x):
61 - x = 22 + 0.5x
Simplifying the equation:
1.5x = 39
x = 39 / 1.5
x ≈ 26
(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.
To find the point (\(x_C\), \(P_C\)) where the price ceiling is enforced, we substitute the given price ceiling value into the demand function:
P_C = $30
D(\(x_C\)) = 61 - \(x_C\)
Setting D(\(x_C\)) equal to \(P_C\):
61 - \(x_C\) = 30
Solving for \(x_C\):
\(x_C\) = 61 - 30
\(x_C\) = 31
(b) The point (\(x_C\), \(P_C\)) is (31, $30).
To calculate the new consumer surplus, we need to integrate the area under the demand curve up to the quantity \(x_C\) and subtract the area of the triangle formed by the price ceiling.
Consumer surplus
\(=\int[0,x_C] D(x) dx - (P_C - D(x_C)) * x_C\\=\int [0,x_C] (61 - x) dx - (30 - (61 - x_C)) * x_C\\=\int [0,31] (61 - x) dx - (30 - 31) * 31[61x - (x^2/2)]\)
evaluated from
0 to 31 - 31[(61*31 - (31²/2)) - (61*0 - (0²/2))] - 31[1891 - (961/2)] - 311891 - 961/2 - 311891 - 961/2 - 62/2(1891 - 961 - 62) / 2868/2
Consumer surplus ≈ 434
(c) The new consumer surplus is approximately 434 dotars.
To calculate the new producer surplus, we need to integrate the area above the supply curve up to the quantity \(x_C\).
Producer surplus \(= (P_C - S(x_C)) * x_C - \int[0,x_C] S(x) dx(30 - (22 + 0.5x_C)) * x_C - \int[0,31] (22 + 0.5x) dx(30 - (22 + 0.5*31)) * 31 - [(22x + (0.5x^2/2))]\)
evaluated from 0 to 31(30 - 37.5) * 31 - [(22*31 + (0.5*31²/2)) - (22*0 + (0.5*0²/2))](-7.5) * 31 - [682 + 240.5 - 0](-232.5) - (682 + 240.5)(-232.5) - 922.5-1155
(d) The new producer surplus is -1155 dotars. (This implies a loss for producers due to the price ceiling.)
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a family on a trip budgets $800 for meals and hotel accommodations. suppose the price of a meal is $40. in addition, suppose the family could afford a total of eight nights in a hotel if they don't buy any meals. how many meals could the family afford if they gave up two nights in the hotel? a. 2 b. 1 c. 8 d. 5\
if the family gives up two nights in the hotel, they could afford d) 5 meals
The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:
$800 / 8 nights = $100 per night
Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:
$200 / $40 per meal = 5 meals
Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.
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Find Y. Round to the nearest tenth
Answer:
32.7 degress
Step-by-step explanation:
In this question we are to find the value of the angle
The best way to do with the information given is the cosine rule
Mathematically that would be;
y^2 = x^2 + z^2 -2xzCosY
where x = 90 ft , y = 55ft and z = 50 ft
Plugging the values we have;
55^2 = 90^2 + 50^2-2(90)(50)CosY
-7575 = -9000cosY
cosY = 7575/9000
cosY = 0.841666666667
Y = cos^-1 0.841666666667
Y = 32.68 degrees which is 32.7 to the nearest tenth
Answer:
32.7
Step-by-step explanation:
How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation:
a developer wants to develop a 16-acre subdivision. he figures that the streets and common area will take up about 30% of this overall area. if the minimum lot size is to be 12,000 sf, how many lots can the developer have on this property?
The developer can have a maximum of 40 lots on the 16-acre subdivision.
To calculate the number of lots the developer can have on the 16-acre subdivision, we need to subtract the area occupied by streets and common areas from the total area and then divide it by the minimum lot size.
1 acre is equal to 43,560 square feet, so 16 acres is equal to 16 * 43,560 = 696,960 square feet.
The streets and common areas will take up 30% of this overall area:
30% of 696,960 = 0.3 * 696,960 = 209,088 square feet.
Now we subtract the area occupied by streets and common areas from the total area to find the area available for the lots:
696,960 - 209,088 = 487,872 square feet.
Since the minimum lot size is 12,000 square feet, we divide the available area by the minimum lot size to find the number of lots:
487,872 / 12,000 = 40.656.
Since we cannot have a fraction of a lot, the developer can have a maximum of 40 lots on this property.
As a result, the 16-acre subdivision may only accommodate a maximum of 40 lots from the developer.
for such more question on area
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which day was the weather forecast most accurate
DAY degrees above (+) or below (-) forecast
monday +4
tuesday -6
wednesday +7
thursday -2
Answer:
thursday
Step-by-step explanation:
so the complete 100% accurate answer would be 0, youd have to pick the closest to that which is -2.
Answer:
The answer is Thursday -2.
Step-by-step explanation:
on edge