Answer:
18.1%
Step-by-step explanation:
From the given pie chart,
Number of days worked for Housing and household operations = 66
Total number of days in a year = 365
Percentage of the work time spent on housing and household operations
= \(\frac{\text{Number of days spent on housing and household operations}}{\text{Total number of days in a year}}\times 100\)
= \(\frac{66}{365}\times 100\)
= 18.08%
≈ 18.1%
Therefore, percentage of work time spent paying for housing and household operations is 18.1%.
The average household spends 18.08% of the year paying for housing and household operation.
To determine what percentage of work time does the average household spend paying for housing and household operation, given that the average person spends 66 days of the year for these expenses, the following calculation must be performed:
365 = 100 66 = X 66 x 100/365 = X 6600/365 = X 18.08 = X
Therefore, the average household spends 18.08% of the year paying for housing and household operation.
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find the measure of m
Answer:
47*
Step-by-step explanation:
Each corner of the square is 90*
angle CBE + angle ABE = 90*
fill in the blanks
43 + x = 90
subtract 43 from both sides
x = 47*
what is the answer to 4^2^2^2?
The exponent 4^2^2^2 can be expressed as 65536
ExponentsExponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power. Basically, power is an expression that shows repeated multiplication of the same number or factor. The value of the exponent is based on the number of times the base is multiplied to itself.
In this case, we have 4^2^2^2 which is
16^2^2 = 256^2 = 65536
The expression 4^2^2^2 is equal to 65536
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Question 25 Given that a: b = 8:5 and b: c = 3:4, find the ratio a: b: c Give your answer in its simplest form.
Answer:
24 : 15 : 20
Step-by-step explanation:
express ratios in fractional form and express b and c in terms of a
\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )
8b = 5a ( divide both sides by 8 )
b = \(\frac{5}{8}\) a
also
\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )
3c = 4b ( divide both sides by 3 )
c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a
Then
a : b : c
= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )
= 24a : 15a : 20a ( divide each part by a )
= 24 : 15 : 20 ← in simplest form
salve by gauss jueabis method if iteration mothere aitration
4X+0.024x2-0.08x3=8
0.09x1+3x2-0.15x3=9
0.04x1+-0.08x2+4x3=20
Which set of side lengths is a Pythagorean triple?2, 3, 135, 7, 1210, 24, 2911, 60, 61
Given:
The set of side lengths are:
2, 3, 13
5, 7, 12
10, 24, 29,
11, 60, 61
Required:
Find the set that is a Pythagorean triple.
Explanation:
The Pythagoras theorem is given as:
\((hyp.)^2=(opp.)^2+(adj.)^2\)The hypotenuse side is the longest side.
Take the set 2,3,13
\(\begin{gathered} (13)^2=(2)^2+(3)^2 \\ 169=4+9 \\ 169=13 \end{gathered}\)This is not true.
Take the sets 5, 7, 12
\(\begin{gathered} (12)^2=(5)^2+(7)^2 \\ 144=25+49 \\ 144=74 \end{gathered}\)This is not true.
Take the sets 10, 24, 29
\(\begin{gathered} (29)^2=(24)^2+(10)^2 \\ 841=576+100 \\ 841=676 \end{gathered}\)This is not true.
Take the sets 11, 60, 61
\(\begin{gathered} (61)^2=(60)^2+(11)^2 \\ 3721=3600+121 \\ 3721=3721 \end{gathered}\)This is true.
So the set 11, 60, and 61 makes a Pythagorean triple.
Final Answer:
The last option is the correct answer.
What value of k will translate the graph of f(x) = 5x + 6 down by 1 when replaced by f(x) + k?
Step-by-step explanation:
"down by one" means that the y values (the function result values) are all decreased by 1.
so, k = -1
What are the slope and the y-intercept for 2x +3y = -9 ?
fast help!!!! and stop false reporting me you mods
Step-by-step explanation:
Given equation is ,
=> 2x + 3y = -9
Moving terms to RHS ,
=> 3y = -2x - 9
=> y = -2x - 9 / 3
=> y = -2/3x - 3
As we know that slope intercept form is y = mx + c , we have ,
slope = -2/3y intercept = -32 divide by 3/7 help!!!!!!!!!!!
2 on division by 3/7 yields 14/3.
For the division of two fractions, we need to multiply the first fraction with the reciprocal of the second. Reciprocal of a fraction means interchanging the numerator and denominator ie, the reciprocal of a is 1/a, the reciprocal of p/q = q/p, and so on.
For example, if a/b and c/d are the fractions the a/b ÷ c/d = a/b x d/c =ad/bc.
Implementing the same method to solve this question,
We have 2/1 = 2 as the first and 3/7 as the second fraction. Thus,
2 ÷3/7 =2 x 7/3 = 14/3. So 14/3 is the answer.
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the list price of a car at Isra’s is 12,600.00. Since Liza works there, she receives a 12% discount on the list price. How much is the discount?
Answer:
$1512
Step-by-step explanation: or if you would like the final cost she must pay which is $11088.
Help me plsssssss Brainless
how to figure the surface area 4yd 4yd 1yd they say the answer is 48yd2. how do they get this answer
Answer:
area of top and bottom (total of 2) = 4x4x2 = 32 yd^2
area of 4 sides = 4x1x4 =16 yd^2
32+16 = 48 yd^2
A store is having a sale to promote a new product. Every item in the store is 1/6 off the regular price. If an item is on sale for $74, what was the regular price? Show your work.
1/6 off means the regular price for that item should be: $88.8
Work:
The sale = $74 ÷ 5 × 1 = $14.8
=> The regular price = $14.8 x 6 = $88.8
use deductive reasoning to show that the following procedure always produces the number 8. procedure: pick a number. add 5 to the number and multiply the sum by 3. subtract 7 and then decrease this difference by the triple of the original number.
After using the deductive reasoning the procedure always produces the number 8.
Procedure:
Let the number be x.
We have to add 5 to the number x.
So the expression is x + 5.
We have to multiply the sum by 3.
Now the expression is 3(x + 5).
Now we have to subtract 7.
Now the expression is 3(x + 5) - 7.
Then we have to decrease this difference by the triple of the original number.
The triple of original number is 3x.
Now the expression is {3(x + 5) - 7} - 3x.
Now solving this expression
= {3(x + 5) - 7} - 3x.
First simplify the bracket
= 3x + 15 - 7 - 3x.
= 8
Now we can se that the after following the whole procedure the answer is 8.
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
Write v as the sum of two vector components if v = -5i+6j and w = 3i+4j
Vector v can be written as the sum of two vector components, \(v_x = -5i\) and \(v_y = 6j\)
To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.
v = -5i + 6j
w = 3i + 4j
We can decompose vector v into two components, one along the x-axis and the other along the y-axis.
Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)
The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:
\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)
Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:
\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)
Now, we can write vector v as the sum of its components:
\(v = v_x + v_y = -5i + 6j\)
So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.
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If f(x)= 2x^2+1, what is f(x) when x=3
Answer:
19
Step-by-step explanation:
f(3) = 2(3)^2 + 1
= 2(9) + 1
= 18 + 1
= 19
The answer is:
f(3) = 19Step-by-step explanation:
Plug in the value of x, i.e., 3:
\(\sf{f(x)=2x^2+1}\)
\(\sf{f(3)=2(3)^2+1}\)
Simplify step by step
\(\sf{f(3)=2*9+1}\)
\(\sf{f(3)=18+1}\)
\(\sf{f(3)=19}\)
Distance - rate and time formula
Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.
-2a-6a-9=-9-6a-2a
help please g
Answer:
the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Step-by-step explanation:
To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:
Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.
Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.
Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).
In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Not understanding this question, question 2
The domain of the composite function (f o g)(4) for f(x) = 4x - 3 and g(x) = x³ + 2x is equal to -59.
What is composite functionA function is composite when the co-domain of the first mapping is the domain of the second mapping
We shall evaluate the domain of the function (f - g)(4) as follows:
(f - g) = 4x - 3 - (x³ + 2x)
(f - g) = 4x - 3 - x³ - 2x
(f - g) = 2x - 3 - x³
(f - g)(4) = 2(4) - 3 - (4)³
(f - g)(4) = 8 - 3 - 64
(f - g)(4) = -59
Therefore, the domain of the composite function (f o g)(4) for f(x) = 4x - 3 and g(x) = x³ + 2x is equal to -59.
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what is -57.17 as a mixed number
The value of 57.17 as a mixed number is - 57 17/100.
In simple terms, what is a mixed number?A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.
A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.
In this case, -57.17 will be:
= -57 + (17/100)
= -57 17/100.
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The product of three positive integers is 300. If one of them is 5, what is the
least possible value of the sum of the other two?
Answer and Step-by-step explanation:
So, we are told that 3 positive integers multiply to be 300, and that one of the integers is 5.
First, we divide 300 by 5.
The result is 60.
Now, we take different (reasonable) numbers that add to 16:
10 and 6
12 and 4
We can see here that 10 and 6 are the integers because they add up to 16 and multiplies to 60.
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Are 4 7/9 and 4.7 equal? Show your work
Answer:
Yes 7/9 is equal to 0.7.
Step-by-step explanation:
0.7 and the 0 doesn't mean anything because 0 is a nothing number. So .7 will be the answer 4.7=7/9. Hope this helps.
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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hyla paid 37.88 for 3 prizzas and a order of garlic rolls if the garlic rolls cost 3.50 how much did each pizza cost
Answer: The answer is $11.46 per pizza
Step-by-step explanation:
First subtract 3.50 from 37.88 since we know how much the garlic roles are. after that you should get 34.38. Then just divide 34.38 by 3, you'll then get the price for each pizza.
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.
a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only
Answer:
a. a reflection only
c. a rotation and a reflection
d. a translation and a reflection
Step-by-step explanation:
just took the test
Answer:
look at the screen shot :)
Step-by-step explanation:
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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on 20 of 22 Which equation describes the line with slope 8 that contains the point (-3, -6)? O A. y + 3 = 8(x+6) O B. y-3 = 8(x-6) c. y - 6 = 8(x-3) O D. y + 6 = 8(x + 3)¹
Answer:
Hi, I just wanted to say that I got this question a few days ago on my test!
I haven't gotten my grade yet and I dont know if I got it right but I hope you figure it out! Best of luck to you!
The equation of a line in point slope form is :
Y - y1 = m(x -x1)
M is the slope given as 8
Y1 and x1 are the x and y values of the given point:
Y - (-6) = 8(x - (-3))
Rewrite as:
Y + 6 = 8(x + 3)
The answer is D
URGENT. I NEED TO DO IT
Answer:
\(25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you\)
Answer:
2nd option and last option
Step-by-step explanation:
the first option is an equation: it has a solution.
the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.
the third option is an equation since it has the equal sign, and thus, has a solution.
the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)
lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.