What’s exponent gives you 8

The equation is 547.75 = 4.25a + 144 so the tape diagram in option D is the correct answer.

A mathematical equation that represents the relationship of two expressions on either side of the sign.

It has one or more variables and equal to symbol.

Example: 3x – 5 = 5

We have,

Time spent fixing the computer = 4.25 hours

Cost of parts = $144

Total cost = $547.75

Cost of labor per hour = a

Since the cost of labor per hour is 'a' cost of labor for 4.25 hours is:

= 4.25 x a

= 4.25a

We can write an equation as:

547.75 = 4.25a + 144

Thus the tape diagram in option D is the correct answer.

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The bill for a person who uses 560 kWh in a month is $74. Therefore, option D is the correct answer.

The given functions are

b(x) = 0.15x;  x ≤ 360

b(x) = 0.10(x - 360) + 54;  x > 360

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h.

For a person who uses 560 kWh, it means that:

x > 360

So, we use the following function to determine the bill

b(x) = 0.10(x - 360) + 54

Substitute 560 for x

b(560) = 0.10(560 - 360) + 54

⇒b(560) = 74

Hence, the bill for a person who uses 560 kWh in a month is $74. Therefore, option D is the correct answer.

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Your question is incomplete, probably the complete question/missing part is:

A power company calculates a person's monthly bill from the number of kilowatt-hours ( Nh), x, used. The function b(x)= 0.15x, and x≤360. 0.10(x-360)+54, and x>360 determines the bill. How much is the bill for a person who uses 560 kWh in a month? A. $84 B. $54. $64 D. $74.

There are 7 rabbits sold for $7 and 13 rabbits sold for $11.

Substitution method:

In the substitution method, we must substitute the value of one given variable in terms of the other given variable and find the solution.

Given,

A pet shop sold 20 rabbits for $192.

Some of the rabbits sold for $7 each and the rest for $11 each.

Here we need to find the number of rabbits sold in each case.

Let us consider x be the number of rabbits sold for $7 and y be the number of rabbits sold for $11.

We know that, the total number of rabbits sold = 20.

So, it can be written as,

=> x + y = 20

Here we have to rewritten this equation as,

=> x = 20 - y ----------------------(1)

We know that, total amount for sold rabbits = 192

So, it can be written as,

=> 7x + 11y = 192 -----------------------(2)

Apply the value of x to equation (2),

Then we get,

=> 7(20 - y) + 11y = 192

=> 140 - 7y + 11y = 192

=> 4y + 140 = 192

=> 4y = 192 - 140

=> 4y = 52

=> y = 52/4

=> y = 13.

Apply the value of y on the equation (1),

Then we get,

=> x = 20 - y

=> x = 20 - 13

=> x = 7

Therefore, there are 7 $7 rabbits and 13 $11 rabbits are sold.

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Answer:

y = 2x - 2

Step-by-step explanation:

y = 2x + 2

4 = 2(3) + c

4 = 6 + c

c = -2

y = 2x - 2

The line is parallel so slope remains same but intercept changes.

Answer:

SK: 32

Step-by-step explanation:

Subtract SY - KY to find SK

45 - 13 = 32

the five prime number are 19,29,29,37,41

mean =sum of observations / total number of observation

         = 19+29+29+37+41  /5

          = 155/5

          =31

median = (n+1) / 2  th term       n is number of term and n is odd

               = (5+1) /2 th term

                 = 3 rd term

                 = 29

mode = the value that appears most in the data

         = 29

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Answer:

2.1/5

3.7/5

4.7/20

Step-by-step explanation:

2.1/5

3.7/5

4.7/20

Greetings from Brasil...

A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators

B - fraction addition/subtraction with different denominators = we have to use LCM

2)

(10/15) - (7/15) - case A

(10 - 7)/15 = 3/15

3)

(8/10) + (3/5) - we can simplify the first fraction

(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5

4)

(3/4) - (2/5) - case B

LCM 4 and 5 = 20

(3/4) - (2/5) = 7/20

Answer:

8:10, 12:15

Step-by-step explanation:

Answer:60*10-8*6

Step-by-step explanation: after you complete the first step which is perenthesis you are left with 60*10-8*6

The first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.

The equation is given as:

60* 10-8* (3* 2)

Using PEMDAS, the first step is to open the brackets by multiplication So, we have:

60* 10-8* (3* 2)

60* 10-8*6

Then multiply the rest and subtract.

600- 48 = 552

Hence, the first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.

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Answer:

5x-16

Step-by-step explanation:

-(16 - 5x)

Use distributive property to open parenthesis.

-(16 - 5x)=

=(-1*16)+(-1*-5x)=

=(-16)+(5x)=

=5x-16

Finding x.

5x-16=0

5x=16

x=3.2

Hope this helps!

Please mark as brainliest if correct!

Each child would get 1/12 th part of the whole watermelon.

For given question,

8 children have to share two thirds of a watermelon equally .

This means we need to equally distribute 2/3 of whole watermelon to 8 children.

To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.

(2/3) ÷ 8

= [tex]\frac{(\frac{2}{3} )}{8}[/tex]

We know that in 8 = 8/1

So, we rewrite the denominator of above fraction as,

[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]

This means, each child will get 1/12 part of the whole watermelon.

Therefore, each child would get 1/12 part of the whole watermelon.

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Answer:

x = 27

Step-by-step explanation:

You need to cube each side.

[tex]\sqrt[3]{x} ^{3}[/tex] = [tex]3^{3}[/tex]

x = 27

Answer:

1. -3x^2 +2x -5

a= -3 b= 2 c= -5

4. 2x^2 -2x -6

a= 2 ...

Step-by-step explanation:

Standard form: Ax^2 +bx +c

Answer:

√18 is between 4.2 and 4.3

√52 is equivalent to 2√13

......

Answer:

1. x = 9

2. x = 4

3 x =

4. x = 10

5. x =

6. x = 11

7. x = -1

8.x =

9. x = -4

10. x =

11. x = 10

12.x = -10

Answer:

2

Step-by-step explanation:

The amount of cheese in each plate = 1.5x

There are 30 bags of shredded cheese.

Let 'x' be the quantity of cheese in each bag. Then,  

The total quantity of cheese in 30 bags = 30x

Number of plates = 20 plates

We need to determine the quantity of cheese put on each plate so that each plate has the same amount of shredded cheese.

For this we just need to divide the total amount of shredded cheese by the number of plates.

The equal amount of cheese in each of 20 plates = 30x/20

                                                                                   = 3x/2

                                                                                   = 1.5x

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The value of k(10) is 6.

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Answer:

493%

Step-by-step explanation:

To convert a decimal to percentage, muiltiply the decimal by 100.

The slope of the lines containing the following points (-2, 1) & (-5,5) is [tex]\frac{-4}{3}[/tex].

As per the question statement, two points lie (-2, 1) & (-5,5) on a line.

We are supposed to find the slope of the line.

To solve this question, we need to know the formula to calculate the Slope of line passing through two points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] which is given by

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Since given in the question statement, our concerned points are (-2, 1) & (-5,5), we can consider [tex][x_{1}=(-2)] , [x_{2}=(-5)], [y_{1}=1][/tex] and [tex][y_{2}=5][/tex].

Using these values into above mentioned formula, we get,

Slope (m) = [tex]\frac{5-1}{[(-5)-(-2)]}=\frac{4}{-3}=\frac{-4}{3}[/tex].

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Peaches, beans, spinach, and pistachios are dietary sources of iron. We get iodine via seaweed, shrimp, eggs, salt, and dairy products in our diet.

What do dietary trace elements do?

What are trace elements give two examples?

Essential trace elements of the human body include zinc (Zn), copper (Cu), selenium (Se), chromium (Cr), cobalt (Co), iodine (I), manga- nese (Mn), and molybdenum (Mo).

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Answer:

∠ B = 82°

Step-by-step explanation:

complementary angles sum to 90° , then

∠ A + ∠ B = 90 , that is

x - 19 + 3x + 1 = 90

4x - 18 = 90 ( add 18 to both sides )

4x = 108 ( divide both sides by 4 )

x = 27

Then

∠ B = 3x + 1 = 3(27) + 1 = 81 + 1 = 82°

When Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.

Milgram's experiment examined if authority affected submission. Stanley Milgram, a Yale University psychologist, carried out several obedience tests in the 1960s that produced some providing more opportunities.

Milgram discovered that more than 60% of the men in his sample of 20 to 50-year-olds who participated in his initial series of trials reached 450 volts.

As a result, when Milgram conducted his first series of experiments with a sample of 20- to 50-year-old men, he found that over 60 percent of them: went all the way to 450 volts.

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Sam pays 680$ per year for his current car and will pay 544$ per year if he buys the new car as per dealer's claim.

According to the question statement, A car dealer claims that buying a new car Sam will have to pay 20% less for gas than for the car he currently owns. The car Sam currently drives costs 15% less to gas than Don's car. Don pays 800$ per year for gas car. It is assumed that all cars will be travelling the same distance.

We are supposed to find out how much will Sam pay for his current car.

To solve this question, we need to know about the concept of percentage of any number.

Don currently pays 800$ per year on gas.

Sam pays 15% less than what Don pays, Therefore the money Sam is paying currently will be 800$ minus 15% of 800$ i.e.,

= [tex]800 - \frac{15}{100} *800[/tex]

= [tex]800-120[/tex]

= [tex]680[/tex]$

680$ per year is the money Sam is spending currently.

If he buys the new car, according to the claim of dealer, he will pay 20% less than what he is paying currently i.e., 680$ - 20% of 680$

= [tex]680-\frac{20}{100} *680\\[/tex]

= [tex]680 - 136[/tex]

= [tex]544[/tex]$

Therefore, Sam pays 680$ per year on gas on his current car but if he buys the new car he will pay 544$ per year on gas.

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We're given:

This means that the consecutive odd integers will be m + 2 and m + 4.

If we add all their ages, it will look like this:

[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]

[tex]3m+6[/tex]

Answer:

Step-by-step explanation:

30 feet.

Answer:

$1020.00

Step-by-step explanation:

15% means 15/100 divide by 100 and you get .15

.15 x 1200 gives us the rebate.  The rebate is 180.  We subtract that from 1200. 1200 -180 = 1020

Another way to think about this, is that we are taking 15% off we are leaving on 85%

.85 x 1200 = 1020

The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

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The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

Equilateral triangle:

An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal 60 degrees angles.

Given:

the perpendicular of the triangle = 5

Let the side of the equilateral triangle = a

Solution :

Now all the side of the triangle is is equal, so that a=x

The base of an equilateral triangle is divided into 2 equal parts,  due to the perpendicular.  

Now by Pythagoras equation :

[tex]p^{2} +b^{2} =h^{2}[/tex]

[tex]5^{2} +(\frac{x}{2} )^{2} =x^{2}[/tex]

[tex]25=x^{2} -\frac{x^{2} }{4}[/tex]

[tex]25 (4)=4x^{2} -x^{2} \\100=3x^{2}[/tex]

[tex]\frac{100}{3}=x^{2} \\\\\sqrt \frac{100}{3} } =x[/tex]

[tex]\frac{10}{\sqrt{3} } =x[/tex]

Simple radical form with rational denominator :

Radical form: An expression that uses a root, such as a square root, or cube root is known as a radical notation, Therefore, [tex]3^{\frac{3}{2} }[/tex] in radical form is = √27.

Convert [tex]\frac{10}{\sqrt{3} }[/tex] into radical form with rational denominator:

[tex]\frac{10}{\sqrt{3} } =\frac{10}{\sqrt{3} } .\frac{\sqrt{3} }{\sqrt{3} } \\[/tex]

[tex]\frac{10\sqrt{3} }{3}[/tex]

The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

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