The total pieces at the fruit stand is 60.
Let the number of apples, bananas and oranges sold be 3x, 2x and 1x. We have actual number of bananas. So equating them to find the value of x.
2x = 20
x = 20/2
Performing division
x = 10
So, number of apples = 3x
Number of apples = 3×10
Number of apples = 30
Similarly, number of oranges = 10
Total number of fruits = sum of the number of apples, bananas and oranges
Total number of fruits = 30 + 20 + 10
Total number of fruits = 60
Thus, there are 60 fruits to sell.
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The first line contains two integers n, m (1 ≤ n, m ≤ 100) — the number of streets and avenues in Munhattan. Each of the next n lines contains m integers cij (1 ≤ cij ≤ 109 ) — the cost of the dinner in the restaurant on the intersection of the i-th street and the j-th avenue.
The given input description provides the necessary information to understand the problem setup. It states that there are n streets and m avenues in Munhattan. The subsequent n lines provide the cost of dinner at each intersection of the streets and avenues, represented by the integer cij. The range of values for n, m, and cij is also provided.
In Munhattan, there is a grid-like structure formed by the streets and avenues, and at each intersection, there is a restaurant. The cost of dinner at each restaurant is given by the corresponding cij value.
To solve a problem using this input, one can perform various operations or calculations based on the cost values, such as finding the minimum or maximum cost, calculating the average cost, or determining specific patterns or relationships between the costs at different intersections.
Overall, the input description sets the stage for analyzing and solving problems related to dinner costs at different intersections in Munhattan, based on the provided grid structure and cost values.
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How many Jamaican dollars are equivalent to US$85, if US$1 = JA$72.50
Answer:
6,162.50 JA
Step-by-step explanation:
Is this true?
72.50x80= 6,162.50 JA
ucas writes a numerical expression that has a value of 37. Which of the following expressions did Lucas write?
a
2.5^2+19\times2.5-16.75
b
2.5+19\times2.5-16.75
c
2.5^2+19\times2.5+16.75
d
2.5\times19+2.5^3-16.75
Answer:
a) 2.5^2+19\times2.5-16.75
Step-by-step explanation:
(2.5)² +(19× 2.5) - 16.75
= 6.25 + 47.5 - 16.75 = 37
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:
Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack cans fit exactly on top of each other in the cooler bag. A can has a diameter of 6 cm and a height of 8,84 cm 0:41 EZ07/67/90 dy the information given in the information above and answer the questions that follow. 2.1 2.2 2.3 2.4 Calculate the volume in ml of one can of cold drink, rounded to the nearest whole number. Determine the height of the cooler bag, rounded to the nearest whole number. Determine the volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm. Each can have a label on them as shown by the image below Piesse Circumference of the can NEW Diet, Soda 0 Calories! Calculate the length of the lable. CALORIES PER SERVING Nutrition Fac Hight of the can (3) (2) (3) (2) 27 [10]
2.1 The volume in ml of one can of cold drink is 83 ml.
2.2 The height of the cooler bag is 18 cm.
2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.
2.4 The circumference of the can is 18.84 cm.
How to calculate the volume of a cylindrical can?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height or length of a cylinder.r represents the radius of a cylinder.By substituting the given side lengths into the volume of a cylinder formula, we have the following;
Volume of can = 3.14 × (6/2)² × 8.84
Volume of can = 83.27 cm³.
Note: 1 cm³ = 1 ml
Volume of can in ml = 83.27 ≈ 83 ml.
Part 2.2.
For the height of the cooler bag, we have:
Height of cooler bag = 2 × height of can
Height of cooler bag = 2 × 8.84
Height of cooler bag = 17.68 ≈ 18 cm.
Part 2.3
Volume of cooler bag = length × breadth × height
Volume of cooler bag = 18 × 12 × 18
Volume of cooler bag = 3,888 ml.
Part 2.4
The circumference of the can is given by:
Circumference of circle = 2πr
Circumference of can = 2 × 3.14 × 3
Circumference of can = 18.84 cm.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
HEY SO MY QUESTION IS IN THE PIC BELOW
Answer:
nope
Step-by-step explanation:
PLEASE SOLVE WILL MARK BRAINLIESTTTT
Jordan and his children went into a movie theater and will buy drinks and candies. He must buy at most 15 drinks and candies altogether. Write an inequality that would represent the possible values for the number of drinks purchased, d, and the number of candies purchased, c.
Answer:
d+c less than or equal to 15
What is the solution to the system of equations graphed below?
A. (0.6)
B. (0,3)
C. (6,0)
D. (1.5)
if the probability of detective bolt is 0.1, find the mean and the standard deviation for the number of defective bolts in a total of 400 bolts.
The mean and standard deviation for the number of defective bolts in a total of 400 bolts is 40 and 6.32 (approx), respectively.
The mean and standard deviation for the number of defective bolts in a total of 400 bolts if the probability of defective bolt is 0.1 can be calculated using Poisson distribution.
Poisson distribution is used to predict the number of events that occur over a specified interval of time when the probability of an event occurring is known.
The formula for calculating the mean (μ) and standard deviation (σ) is given as follows:
μ = λσ = √λ
Where λ = np, where n is the number of trials and p is the probability of success.
Here, the probability of a defective bolt is 0.1. So the probability of a non-defective bolt is 0.9. The total number of bolts is 400, so the expected number of defective bolts can be calculated as follows:
μ = λ = np = 400 x 0.1 = 40
The mean number of defective bolts is 40. The standard deviation can be calculated as follows:
σ = √λ = √40 = 6.32 (approx)
The standard deviation is 6.32 (approx).
Therefore, the mean and standard deviation is 40 and 6.32 (approx), respectively.
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question is attached
Answer:
56
Step-by-step explanation:
Top line:
100% - 80% = 20%
20% of 60 = 0.2 × 60 = 12
Small piece on top is 12.
Second line:
Small piece is 12.
100% - 60% = 40%
Small piece is also 40%.
40% of x = 12
0.4x = 12
x = 12/0.4
x = 30
The entire second line is 30.
60% of 30 = 0.6 × 30 = 18
60% of second line is 18.
Third line:
30% of third line = 18
100% - 30% = 70%
30/18 = 70/x
30x = 18 × 70
x = 42
Larger part of third line is 42.
Fourth line:
75% of 4th line is 42.
100/x = 75/42
75x = 100 × 42
x = 56
Answer: 56
Identify the shapes in the picture
Answer:
we're are the images pls
annie measured a city park and made a scale drawing. the scale of the drawing was 1 millimeter : 4 meters. the soccer field is 28 millimeters long in the drawing. how long is the actual field?
Answer:
Step-by-step explanation:
34 millimeter
a toy store manager wants to display 7 identical stuffed dogs, 4 identical stuffed cats, and 3 identical stuffed teddy bears on a shelf. how many different arrangements can be made?
120120 Different number of arrangements can be made.
7 identical stuffed dogs
4 identical stuffed cats
3 identical stuffed teddy bears
Total number of objects a toy store managers want
to display = 14.
We know formula to arrange n objects in which p are identical:
There are n!/p! ways to arrange n objects in a row, and p of those ways are exactly the same.
Similarly for this problem we can say:
Different number of arrangements possible.
Here in this question value of n =14 total number of objects.
Total number of arrangements possible for 14 objects is 14! but some objects are duplicate that may be counted more than ones so we have to divide them.
number of arrangements = 14!/ (7!*4!*3!).
by solving this we get
number of arrangements = 120120.
So we can say 120120 Different number of arrangements can be made.
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When the product of 6 and the square of a number is increased by 5 times the number.
The square of a number is increased by 5 times the number \(6x^{2} +5x-4=0\)
What is quadratic equation?
A quadratic equation is a second order equation written as a\(x^{2}\) + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
Product of 6 and the square of a number is increased by 5 times the number, he result is 4.
Consider x as the number,
The question can be written as:
\(6(x^{2} )+5(x)=4\)
\(6(x^{2} )+5(x)-4=0\)
Hence, the answer for the given question is \(6x^{2} +5x-4=0\).
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Points (-3,6 ) (-2,9 ) the equation in point slope form step by step
The equation in point slope form is y -6 = 3(x + 3)
(x₁, y₁) = (-3, 6)
(x₂, y₂) = (-2, 9)
Slope of the line,
m = (y₂ - y₁)/(x₂ - x₁)
m = (9 - 6)/(-2 - -3)
m = 3
Therefore, the equation in point slope form is given as,
(y - y₁) = m(x - x₁)
y - 6 = 3(x - -3)
y -6 = 3(x + 3)
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The monthly rents (in dollars) paid by 9 people are given below.
(Note that these are already ordered from least to greatest.)
910, 940, 970, 1015, 1050, 1060, 1090, 1150, 1220
Suppose that one of the people moves. Her rent changes from $910 to $955.
Answer the following.
(a) What happens to the mean?
(b) What happens to the median?
O It decreases by
O It increases by
O It stays the same.
O It decreases by
O It increases by
O It stays the same.
Greg made the smallest loss from the sale of the boat and Mike lost $350 more money than Greg. It is important to note that the money from the sale of the boat was shared in the same ratio as it was paid for, thereby ensuring that each person receives a fair share of the money.
What is amount?
Amount is a numerical value that is used to quantify or measure the extent, size, or magnitude of something. It is an abstract concept that can be expressed in many forms, such as numerical values, words, or symbols. Amounts can be expressed in a variety of terms, including money, weight, volume, distance, and time. Amount is related to the concept of quantity, but quantity is used to describe a greater range of values than amount.
a- Greg receives $1400, Nigel receives $1050 and Mike receives $1750 from the sale of the boat.
b Mike lost $350 more money than Greg from the sale of the boat.
c Greg made the smallest loss from the sale of the boat. He lost $400 from the sale of the boat. This can be calculated by subtracting the amount Greg paid for the boat ($1400) from the amount he received from the sale of the boat ($1400).
It is evident that the amount each of them received from the sale of the boat is in the same ratio as what they had paid for the boat. This is because they shared the money from the sale of the boat in the same ratio as they paid for the boat. This is beneficial for the three of them as it ensures that each person receives a fair share of the money from the sale of the boat.
In conclusion, Greg made the smallest loss from the sale of the boat and Mike lost $350 more money than Greg. It is important to note that the money from the sale of the boat was shared in the same ratio as it was paid for, thereby ensuring that each person receives a fair share of the money.
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The line makes angles α, β and γ with x-axia and z-axis respectively then cos 2α + cos 2β + cos 2γ is equal to
(a) 2
(b) 1
(c) -2
(d) -1
Step-by-step explanation:
\(\large\underline{\sf{Solution-}}\)
Given that lines makes an angle α, β, γ with x - axis, y - axis and z - axis respectively.
So, By definition of direction cosines,
\(\rm :\longmapsto\:l = cos \alpha \)
\(\rm :\longmapsto\:m = cos \beta \)
\(\rm :\longmapsto\:n = cos \gamma \)
So,
\(\rm :\longmapsto\: {l}^{2} + {m}^{2} + {n}^{2} = 1\)
\(\rm :\longmapsto\: {cos}^{2} \alpha + {cos}^{2} \beta + {cos}^{2} \gamma = 1\)
On multiply by 2 on both sides we get
\(\rm :\longmapsto\: 2{cos}^{2} \alpha + 2{cos}^{2} \beta + 2 {cos}^{2} \gamma = 2\)
can be further rewritten as
\(\rm :\longmapsto\: 2{cos}^{2} \alpha - 1 + 1 + 2{cos}^{2} \beta - 1 + 1 + 2 {cos}^{2} \gamma - 1 + 1 = 2\)
\(\rm :\longmapsto\: (2{cos}^{2} \alpha - 1)+ (2{cos}^{2} \beta - 1)+ (2 {cos}^{2} \gamma - 1) + 3= 2\)
\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma + 3= 2\)
\( \red{ \bigg\{ \sf \: \because \: cos2x = {2cos}^{2}x - 1 \bigg\}}\)
\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma= 2 - 3\)
\(\rm :\longmapsto\:cos2 \alpha + cos2 \beta + cos2 \gamma= - 1\)
Hence,
\(\bf\implies \:\boxed{\tt{ \: cos2 \alpha + cos2 \beta + cos2 \gamma = - 1 \: }}\)
So, option (d) is correct.
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MORE TO KNOWDirection cosines of a line segment is defined as the cosines of the angle which a line makes with the positive direction of respective axis.
The scalar components of unit vector always give direction cosines.
The scalar components of a vector gives direction ratios.
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
x = 39º; y = 45º
Step-by-step explanation:
97 + 44 + x = 180
141 + x = 180
x = 39º
y + 52 = 97
y = 45º
A phone company offers two monthly plans. Plan A costs $20 plus an additional $0. 08 for each minute of calls. Plan B has no initial fee but costs $0. 12 for each minute of calls. What is the cost when the two plans cost the same for a set number of minutes?
The cost when the two plans cost the same for a set number of minutes is $60.
To find the cost when the two plans cost the same for a set number of minutes, we need to set the algebraic expressions for each plan equal to each other and solve for the number of minutes.
The algebraic expression for Plan A is 20 + 0.08m, where m is the number of minutes.
The algebraic expression for Plan B is 0.12m, where m is also the same number of minutes.
Setting these two expressions equal to each other, we get:
20 + 0.08m = 0.12m
Simplifying the equation, we get:
0.04m = 20
Dividing both sides by 0.04, we get:
m = 500
So the cost for both plans will be the same when the number of minutes is 500. To find the cost, we can plug this value back into either algebraic expression:
Cost = 20 + 0.08(500)
Cost = 20 + 40
Cost = $60
Therefore, the cost when the two plans cost the same for a set number of minutes is $60.
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write 17/15 as a mixed number.
Answer:
1 2/15
Step-by-step explanation:
Also, I plead the 5th
The mixed fraction of 17/15 is \(1\frac{2}{15}\) .
The given fraction is,
17/15
We have to write 17/15 in mixed fraction,
Since we know that,
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
And a mixed fraction is a fraction made up of a fraction and a full number.
Now applying long division method to find mixed fraction,
15 ) 17 ( 1
- 15
______
2
Hence,
17/15 = \(1\frac{2}{15}\) is the required mixed fraction.
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test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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SWYK 16: Slope and Y-Intercept
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
Functions f(x)16x^2
G(x) 1/4 sq root x
Answer:
x
x
are the same
Step-by-step explanation:
when you plug in g(x) into f(x)
f(x)=16((1/4)(x)^.5)==x
then vice versa
g(x)=(1/4)((16x^2)^.5)==x
They are the same and, therefore, inverses of each other.
An association of Realtors reports state-by-state median existing home prices for each quarter. Why do you suppose they use the median instead of the mean? What might be the disadvantage of reporting the mean? Choose the correct answer below. A. Home prices probably have a symmetric distribution which makes the median a better representation of the center than the mean. Reporting the mean would give the impression that the "typical" home price is much lower or higher than it actually is B. Home prices are discrete data, and the median should always be reported instead of the mean for discrete data. Reporting the mean would have the disadvantage of being more difficult to interpret c. Home prices are probably skewed to the left and not symmetric. This means the median a better representation of the center than the mean which would be influenced by the extremely low priced homes. Reporting the mean would give the impression that the "typical" home price is lower than it is D. Home prices are probably skewed to the right and not symmetric This makes the median a better representation of the center than the mean which would be influenced by the extremely high priced homes Reporting the mean would give the impression that the "typical" home price is higher than it is.
Home prices are probably skewed to the right and not symmetric. So the correct option would be A.
This makes the median a better representation of the center than the mean which would be influenced by the extremely high-priced homes.
Reporting the mean would give the impression that the "typical" home price is higher than it is.
they substitute the median for the mean. The median is unaffected by severe outliers or asymmetric score distributions because it only takes one or two values. In contrast, skewed distributions might have different mean and mode values.
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5. Your dog is expecting a litter of puppies. The probability of a puppy being male or female is .50 or 50%. What is the probability that a litter of 4 puppies will contain 2 males and 2 females? Show your work
Answer:
not likely bbtguvtcettup
BRIDGES The lower arch of the Sydney Harbor Bridge can be modeled by g(x) = - 0.0018 * (x - 251.5) ^ 2 + 118 where x in the distance from one base of the arch and g(x) is the height of the arch. Select all of the transformations that occur in g(x) as it relates to the graph of f(x) = x ^ 2
A) vertical compression
B ) translation down 251.5 units C ) translation up 118 units
D ) reflection across the x-axis
E) vertical stretch
F ) translation right 251.5 units G ) reflection across the y-axis
The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C
What are the transformations of the function?In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.
In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.
Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.
Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.
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Apply the distributive property to factor out 5x.
(5x · x2) + (5x · 3x) − (5x · 7) =
Answer:
5x^3+15x^2-35x
Step-by-step explanation:
Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!
6w= 12+6w divided by 2
Answer:
12w=12 divided by 2
12w=6
=2
Step-by-step explanation:
Luis is paid 245 per week plus a 12.5% commission on all sales over $500.his sales last week were totaled 1,340. What is his total earnings
Answer: 12.5% of 1,340 is 167.5 so Luis made $412.50
2 [x² + 2x + 1] - x²-4x+4 = x²-3x
The solution for the equation given would be x = 2 and x = -1.
How to find the solution to the equation?To solve the equation 2[x² + 2x + 1] - x² - 4x + 4 = x² - 3x, we can simplify and rearrange the terms as follows:
2x² + 4x + 2 - x² - 4x + 4 = x² - 3x
x² - 3x + 6 = x² - 3x
2x² - 2x - 6 = 0
Dividing both sides by 2, we get:
x² - x - 3 = 0
We can then solve for x by factoring or using the quadratic formula. Factoring gives:
(x - 2)(x + 1) = 0
So, the solutions are x = 2 and x = -1.
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