.............................

Answer:

x=4

Step-by-step explanation:

5x-20=0

  +20   +20

5x=20

5     5

x=4

Add 20 to both sides cancelling out the left side.

Than  you divide 5 leaving the x on one side and 20 over 5 which is 4

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has.

13(1/3) can be written as,

= 13(1/3)

= 40/3

Each loaf requires 3 and four-fifths cups of flour.

This can be written as,

3(4/5) cups of flour = 1 loaf

19/5 cups of flour = 1 loaf

Multiply 5/19 on both sides.

1 cup of flour = 5/19 loaf

Multiply 40/3 on both sides.

40/3 cups of flour = 40/3 x 5/19 loaf

40/3 cups of flour = 3.5 loaf

This means we can make 4 loaves.

Thus,

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

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We want to see which of the given statements about the number pi are true.

The correct options are: a, d, and e.

First, let's talk a little bit about the number pi.

The irrational number pi is defined as the quotient between a circle's circumference and its diameter.

So if we know that a circle has a diameter D, the circumference of that circle is given by:

C = pi*D

Now let's analyze each option to see which ones are true.

a) "Pi is the area of a circle of radius 1."

The area of a circle of radius R is given by:

A = pi*R^2

So if the radius of this circle is R = 1. we have:

A = pi*1^2 = pi

So the area of this circle is pi, thus the statement is true.

b) "Pi is the area of a circle of diameter 1."

The diameter is twice the radius, so the radius of this circle is 0.5, we know that pi is the area of a circle of radius 1, not a circle of radius 0.5, so this is false.

c) "Pi is the circumference of a circle of radius 1."

The circumference of a circle of radius R is given by:

C = pi*2*R

If the radius is equal to 1 we have R = 1, then:

C = pi*2*1 = 2*pi

The circumference of this circle is 2*pi, not pi, so this is false.

d) "Pi is the circumference of a circle of diameter 1."

We know that the circumference of a circle of diameter D is:

C = pi*D

So if D = 1, we have:

C = pi*1 = pi

So the circumference of this circle is equal to pi, thus, this statement is true.

e) "Pi is the constant of proportionality relating the diameter of a circle to its circumference."

A proportional relation is:

y = k*x

where k is the constant of proportionality.

The relation between the circumference is given by:

C = pi*D

So yes, pi is the constant of proportionality, this is true.

F) "Pi is the constant of proportionality relating the radius of a circle to its area."

The area equation is:

A = pi*R^2

note that the radius is squared, so this is not a proportional relation, then the statement is false.

Finally, we can conclude that the true statements are:

a, d, e.

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Answer:

8

Step-by-step explanation:

Since there are two fractions, it is easiest to cross multiply the fractions before doing anything else. Basically:

10/15 = d/12  becomes 120 = 15d.

then you just divide 15 to both sides to get your answer:

d = 120/15, which is the equivalent of d = 8.

Answer:

Multiproperty

Step-by-step explanation:

To solve this problem, we use different properties to arrive at our answer.

  Given expression;

               4(x + 3) = 20;

   First we use the distributive property to expand;

              4x + 12  = 20

       Now use subtraction property by adding (-12) to both sides;

              4x + 12 + (-12)  = 20 + (-12)

              4x  = 8

           you can now divide by 4,

                   x  = 2

Answer:

All Real Numbers

Step-by-step explanation:

Ok so domain is x and x is going through 0 and you are going from -♾ to ♾ which is everything so all real numbers

Answer:

Number of hamburgers bought = 4

Number of hotdogs bought = 9

Step-by-step explanation:

Let

Number of hamburgers bought = n

Number of hotdogs bought = n + 5

Hamburgers cost = $6.25

Hotdogs cost = $3.75

Total cost = $58.75

6.25n + 3.75(n + 5) = 58.75

Open parenthesis

6.25n + 3.75n + 18.75 = 58.75

Collect like terms

6.25n + 3.75n = 58.75 - 18.75

10n = 40

Divide both sides by 10

n = 40 / 10

= 4

n = 4

Number of hamburgers bought = n = 4

Number of hotdogs bought = n + 5

= 4 + 5

= 9

Answer: 11

Step-by-step explanation: 5x-15= 3x+7

Combine like terms: 2x= 7+15

Add = 2x= 22

Divide: equals 11

Answer:

f(x)=|x-6|

Step-by-step explanation:

Translation is a shift. Opposite how many units it moved. In with the x because that's side to side. If it was not with the x, it's up and down.

The transformation of a function may involve any change. The equation of g(x) is |x-6|.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

Given that the function f(x)=|x|, this function is needed to be translated 6 units to the right. Therefore, the new function can be written as,

g(x) = f(x-6)

      = |x - 6|

Hence, the equation of g(x) is |x-6|.

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Answer:

The first should be (x+6, y-(-10).

The others, not sure but you have to plug them in.

Answer:

See attached

Step-by-step explanation:

The form is filled in and attached

Answer:

3 gold coins

Step-by-step explanation:

6 minus 3 is 3

Answer:

This is a linear equation, there's nothing to simplify.

The slope in this equation is 1.25

The y-intercept of this equation is 10

Answer:

I need help with that too

Step-by-step explanation:

Answer:

∠BFA = 50°

Step-by-step explanation:

To find∠ BFA we first have to find ∠BFE this is how we'll do it!

5x-10 + 3x+4 + 2x +16 = 180 (collect like terms)(5x+3x+2x)(-10+4+16)

10x + 10 = 180 (minus 10 on each side)

10x = 170 (divide by 10 on each side)

x = 17

Plug in. (Plug in the rest of the equations)

5(17)-10=75°

3(17)+4=55°

2(17)+16=50°

∠BFA would equal 50 degrees because it is vertical of ∠DFE.

When two angles are vertical to each other they equal the same amount or in other words they're congruent.

Hope this helps!!!

Answer:

inequality is n< with the line under 12 or n= , with the line under it 12

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

looked it up on the internet

Answer with step-by-step explanation:

C: 3

This is because 6 3/5 is a positive number, and 6 3/5 ÷ 2 1/5 = 3

Hope this was helpful! (brainliest please)

Answer:

Yes

Step-by-step explanation:

Supplementary angles are a set of angles that always add up to 180 degrees.

Let me translate it to English before I answer your question.

Hello friend, how are you? Today I want to write about my schedule of classes.

My classes start at seven thirty in the morning. I have five classes everyday. My math class, it starts at seven thirty. Then a biology class and it starts at half past nine. I have a twenty minute break at noon. It starts at half past seven. I always have soccer practice after school, but today I have to come home early because I have to study for the biology test. Take care.

First answer: 20 mins

Second answer: 7:30

Third answer:7:30

Fourth answer:9:05

Hope this helps you!!

Stay safe.

Answer: h = 7a + 9 divided by 2

AC=4.26 cm

Hope this helps you

Answer:

17p

Step-by-step explanation:

Since you don't know how much Sanjay picked you can only explain as a variable. So just put 17 next to p which is 17*p

Answer:

greater than

Step-by-step explanation:

Answer:

7.67 liters

Step-by-step explanation:

Answer:

The equation of the line is y = 4x/7 - 1

Step-by-step explanation:

The equation of a straight line can be represented by

y = mx + c

where m represents the slope and c represents the y-intercept

So for;

4x - 7y = 9

7y = 4x - 9

y = 4x/7 - 9/7

The slope here is 4/7

Since the line we are trying to form is parallel, then the slope of the line is 4/7 also, since parallel lines have equal slope

So the equation of the new line will be;

y = 4x/7 + c

To get c, just put the point x = 7 and y = 3

3 = 4/7(7) + c

3 = 4 + c

c = 3-4

c = -1

So the equation of the line is;

y = 4x/7 - 1

Given:

The cost y (in dollars) of renting a segway for x hours is

[tex]y=30x+25[/tex]

To find:

The initial fee and the cost per hour.

Solution:

We have,

[tex]y=30x+25[/tex]       ...(i)

The slope intercept form of a linear equation is

[tex]y=mx+b[/tex]      ...(ii)

where, m is slope is b is y-intercept or initial value.

From (i) and (ii), we get

[tex]m=30,b=25[/tex]

The value of m is 30, so the slope is 30. It means cost per hour is $30.

The value of b is 25, so y-intercept is 25. It means the initial fee is $25.