-7(w+4) +2w - 15 simplify

The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.

The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.

It is important to note that

a penny = $0.01

a dime = $0.10

a quarter = $0.25

Let's represent the number of

pennies = p

dimes = d

quarters = q

The number of pennies is equal to the  number of dimes, hence:

p = q, so we can represent the number of pennies and dimes as y

The box currently  contains 40 coins

So: 40 = y + y + q

q = 40 - 2y...........Equation 1

The total value of the coins is $8.05

So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2

We substitute 40 - 2y for q in Equation 2

0.01y + 0.1y + 0.25(40 - 2y) = 8.05

0.01y + 0.1y + 10 - 0.5y = 8.05

Collect like terms

0.01y + 0.1y - 0.5y = 8.05 - 10

-0.39y = -1.95

Divide both sides by -0.39

-0.39y/-0.39 = -1.95/0.39

y = 5

Since y represents the number of pennies and dimes,  the number of pennies is 5 and the number of quarters is 5.

To solve for the number quarters, we would use equation 1

q = 40 - 2y...........Equation 1

q = 40 - 2 x 5

q = 40 - 10

q = 30

The number of quarters is 30.

Therefore, we have 5 pennies, 5 dimes, and 30 quarters.

To learn more, visit the link below:

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Answer:

18p + 14

Step-by-step explanation:

6

(

3

+

2

)

+

2

{\color{#c92786}{6(3p+2)}}+2

6(3p+2)+2

1

8

+

1

2

+

2

Answer:

[tex]y = \frac{10x - 1}{45} \\ [/tex]

Step-by-step explanation:

[tex] \frac{10x - 1}{3y} = 15 \\ 10x - 1 = 15 \times 3y \\ 10x - 1 = 45y \\ \frac{10x - 1}{45} = y \\ [/tex]

Answer:

A

Step-by-step explanation:

Answer:

Maybe 16

Step-by-step explanation:

Answer:

to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.

Step-by-step explanation:

Answer:

12 15 18 9 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiples of 3 greater than 3 are:

The only odd number is 7

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Let's solve for v :

here, the the terms associated with v, that us -14v and 14v gets cancel out, so there's no solution for v and hence it's value can't be determined.

Answer:

we get 48 if we divide both:)

Answer:

Step-by-step explanation:

2x+20=12x

We can subtract 2x from both sides:

2x+20-2x=12x-2x

20=10x

20/10=x

x=2

-4

Step-by-step explanation:

(n + 5)2 for n = -7

= (-7 + 5)2

= (-2)2

= -4

Another way :

(n + 5)2

= 2n + 10

= 2(-7) + 10

= -14 + 10

= -4

Answer:

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

Answer:

13) 10

17) 15

21) 10

25) 1

Step-by-step explanation:

13)

     5x becomes 5(2) which is 5 times 2 = 10

17)

    (4x) + 7 becomes (4 times 2) + 7 = 15

21)

    (2x) + (2y) becomes (2 times 2) + (2 times 3)

                      = 4 + 6

                      = 10

25)

   1/2(z - x) becomes 1/2(4 - 2)

    = 1/2(2)

    = 1

Hello there!

This triangle is equilateral. Therefore, all the sides are equal.

We are given one of them. It is 12 units.

Therefore, all the other sides are 12 units long.

So a=12

Hope this helps you! :)

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Answer:

55°,90°,35°

Step-by-step explanation:

the sum of interior in a triangle is 180° and 55 +90+35=180

Answer:

c because there's no answer to the other equation and I already use math for it and it's the answer

Answer:

Step-by-step explanation: WELL i cant help lm really sorry

Answer:

The answer is 6 :)

Step-by-step explanation:

The GCF of two non-zero integers, x(30) and y(42), is the greatest positive integer m(6) that divides both x(30) and y(42) without any remainder.

Answer:GCF=2

Step-by-step explanation:

The lowest factor that fits is 2.

2x15=30

2x21=41

The area of a shape is the amount of space it can occupy.

The value of r is 13

From the question (see attachment), we have:

[tex]\mathbf{A =176}[/tex] --- area of the shaded region

[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region

The area of the complete circle would be:

[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]

The area of the small circle is:

[tex]\mathbf{A_2 =\pi r^2}[/tex]

So, the area of the shaded region is:

[tex]\mathbf{A = A_1 - A_2}[/tex]

Substitute known values

[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]

Substitute 2 for w

[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]

Expand

[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]

Open brackets

[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]

Cancel out line terms

[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]

Divide through by 4

[tex]\mathbf{44 =\pi r + \pi }[/tex]

Factor out pi

[tex]\mathbf{44 =\pi(r+ 1) }[/tex]

Divide through by pi

[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]

Substitute 22/7 for pi

[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]

Using a calculator, we have

[tex]\mathbf{r + 1= 14}[/tex]

Solve for r

[tex]\mathbf{r= 14 -1}[/tex]

[tex]\mathbf{r= 13}[/tex]

Hence, the value of r is 13

Read more about areas of circles at:

https://brainly.com/question/23328170

Answer:

1:6

Step-by-step explanation:

A part-to-whole ratio of 1:6 means that there is 1 of something and the total is 6. It also means that there are 5 of something else. To convert a Part-to-Whole ratio such as 1:6, you replace the colon with a fraction bar to get this answer:

1:6 → 1/6

Answer:

8.50x plus 13y equals 160

Answer:

46.5

Step-by-step explanation:

9×6=54

54-7.5=46.5