Kathy is laying stepping stones in her garden the stones are 8 inches long and she wants to create a path that is 10 feet long how many stones will she need

Answer:

Father is 80 years old and the son is 30

Step-by-step explanation:

Let father be x and son be y:

x-5 = 3(y-5)

x = 3y-10 ------ eq1

x+y = 110

x = 110 -y -------- eq2

Now if we combine the 2 equations we get:

3y + y = 110+10

y=30 (sons age)

Substituting in equation 2 we get:

x = 110 - 30

x = 80

Therefore, the fathers age is 80 and the sons age is 30.

yes it does belong on pizza

Answer:

The answer is 11,316,108

Step-by-step explanation:

[tex]58^{4} - 388[/tex]

(58)(58)(58)(58) - 388

11,316,496 - 388

= 11,316,108

Answer:

3.5 hours

Step-by-step explanation:

8.75/2.5=3.5

Answer:

3.5 miles

Step-by-step explanation:

The polynomial division problem can be concluded finished if; their is no remainder or the Divisor is larger than the remainder.

According to the question:

In polynomials, the division of a polynomial NY the Divisor gIves a quotient and a remainder.

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Answer:

137 i am sorry if incorrect

Step-by-step explanation:

[tex]5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11[/tex]

Therefore, m = 11

5m = 5 × 11 = 55

5m is 55, m is 11.

Hope it helps.

Do comment if you have any query.

Answer:

m=11

5m=55

Step-by-step explanation:

To find the answer to this question, isolate m. Do this by using the properties of equality.

First, distribute the 5 to the terms within the parentheses

Then, add 15 to both sides

Next, divide both sides by 5

This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.

Answer:

1500-8000

Step-by-step explanation:

It depends what type of truck and what its carrying

Answer:

183

Step-by-step explanation:

percentage=actual/base

B=A/P

B=43.9/0.24

B= 182.9=183

The value of x rounded to the nearest whole number is 183.

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

Number = 43.9

The given number is 24% of x.

Percentage = (value / total) × 100

By substituting the given data:

24 = (43.9 / x) × 100

x = (4390/24)

x = 182.91

after rounding off to the nearest whole number

x = 183

Hence, the value of x rounded to the nearest whole number is 183.

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Answer:

x+y=-15

y=-x-15

Step-by-step explanation:

Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.

The calculation will go thus:

Perimeter = 2l + 2w

240 = 2(w + 16) + 2w

240 = 2w + 32 + 2w

240 = 4w + 32

4w = 240 - 32

4w = 208

w = 208/4 = 52

Therefore, the length will be:

= w + 16 = 52 + 16 = 68

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Answer:

Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.

Step-by-step explanation:

a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.

Answer/Step-by-step explanation:

The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.

Answer:

1. Loss ₹50

2. - 60

3. 50 km towards North

4. 1000

5. - 30

6. - 15° C

Answer:

43/8 or 5 and 3/8

Step-by-step explanation:

This is because if you find the lcd, its 24. 36/6, or 6, in 24 is 144/24.

5/8 is 15/24.

144/24-15/24 is 129/144, which simplified is 43/8, or 5 and 3/8

Answer:

min: (-2;-6) & (1; 3/4); max: (0;2).

Step-by-step explanation:

1) f`(x)=3x³+3x²-6x;

2) f`(x)=0, ⇒ 3x³+3x²-6x=0;

3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;

other steps are provided in the attachment.

Answer:

A. 8

Step-by-step explanation:

We are given the functions:

[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

[tex]f(g(x))=\sqrt{(7x+b)}[/tex]

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]

Therefore, the value of b is equal to 8.

Answer:

D, y+8=2(x_4)

Step-by-step explanation:

Answer:

2.70$

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3

Answer:

$7

Step-by-step explanation: Five step plan

1. How much is each hamburger?

Variables

Price paid : $50

Change: $22

No. of hamburgers: 4

2. Price for all hamburgers. 50-22 = 28

3. y(price of each hamburger) = 28/4

4. y = 7

5. The price of each hamburger is 7

Answer:

y = -(5/6)x + 0.917

Step-by-step explanation:

We can calculate a slope with the two given points:

(-2.5,3) and (3.5,-2)

Rise (change in y) = -2 - (3) = -5

Run (change in x) = 3.5 - (-2.5) = 6.0

Slope = Rise/Run = -5/6

The line has the following form:

y = -(5/6)x + b

We can find b, the y-intercept, by using one of the two points in the equation and then solve for b.  I'll choose (-2.5,3):

y = -(5/6)x + b

3 = -(5/6)*(-2.5) + b

3 = 2.083 + b

b = 0.917

y = -(5/6)x + 0.917

Answer: $15.90/hr

Step-by-step explanation:

We need to add 6% to her $15/hr current pay.  This can be calculated with:

$15/hr *(1+0.06) = $15.90/hr

The "(1+0.06)" represents a) 1  the current salary, and b) the 6% raise.

Answer:

24 miles

Step-by-step explanation:

50 minutes = 8 miles

100 miles = 16 miles

150 minutes = 24 miles

Answer:

Jason can travel 24 miles in 150 minutes.

Step-by-step explanation:

8= miles. 50&150= mins

8=50.

Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.

150÷50= 3.

So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.

3×8= 24

So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)

Hope this wasn't too confusing,

Hope this helps!

Step-by-step explanation:

a=b as it is alternative angles

so 6x+5=4x+45

6x-4x =45-5

2x=40

x=40 /2

x=20

Step-by-step explanation:

it is a linear function, if the increases in y are constant from point (ordered pair of x and y) to point reissue to the increase in x.

the first table (top left) increases x constantly by 1.

but y increases first by 2 and then by 3 and then again by 3.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

the second table (top right) increases x constantly by 2.

and y increases constantly by 2.

this is constant also in relation to x.

in technical terms : the slope of the function is the same for every point of the function.

in other words : it is a straight line all the way.

so, it is a linear function.

the third table (bottom left) increases x constantly by 1.

but y increases first by 4 and then by 1 and then again by 1.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

the fourth table (bottom right) increases x constantly by 2.

but y increases first by 2 and then by 3 and then again by 3.

this is not constant, so it does not follow the pattern of x.

in technical terms : the slope of the function is not the same for every point of the function.

in other words : it is not a straight line all the way.

so, it is not a linear function.

The inverse function will have x intercept additive inverse of this.

Now

equation of line in intercept form

[tex]\\ \sf\longmapsto \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{5}+\dfrac{y}{1}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{x+5y}{5}=1[/tex]

[tex]\\ \sf\longmapsto x+5y=5[/tex]

Graph attached

The Graph of the inverse of the function is given below.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

From the given graph,

x intercept=-5

y intercept=1

The inverse function will have x intercept additive inverse of this.

The inverse of the line's intercepts

x-intercept = 1

y-intercept = -5

Now

equation of a line in intercept form

x/a + y/b = 1

x/1 +y/-5 = 1

5x - y = 5

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