Solve this problem. Peter is 35 years old. His son is 10 years old.

How many years ago was Peter six times older than his son?

Answers

Answer 1
Answer: five years ago at the age of 30 peter was 6 times his sons age. his sone was 5 years old and peter was 30 so 5 times 6 is 30.(5*6=30)
Answer 2
Answer: when peter was 29 years old...

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Please help me solve the equation
3x+10y=48
7x+4y=54

Answers

3x+10y=48
7x+4y=54


multiply the first equation by 2 and the 2nd equation by 5 to remove y
6x+20y=96
35x+20y=270
29x=174
x=6

substitute to any equation
7x+4y=54
42+4y=54
4y=12
y=3

the value of x is 6 and the value of y is 3

Answer: x=36/7

               y=9/2

Step-by-step explanation:

1 Solve for yy in 3+10y=483+10y=48.

y=\frac{9}{2}y=

​2

​9

​​

2 Substitute y=\frac{9}{2}y=

​2

​9

​​  into 7x+4y=547x+4y=54.

7x+18=547x+18=54

3 Solve for xx in 7x+18=547x+18=54.

x=\frac{36}{7}x=

​7

​36

​​

4 Therefore,

\begin{aligned}&x=\frac{36}{7}\\&y=\frac{9}{2}\end{aligned}

​​

​x=

​7

​36

​​

​y=

​2

​9

​​

​​

What is the volume of a soccer ball that has a diameter of 12 inches

Answers

Answer:

V=904.78 in.

Step-by-step explanation:

V=4/3*3.14*r^3

V=4/3*3.14*6^3

V=904.78 in

The circumference of the earth is about 25,000 miles. Approximately how far is it from any point on the earth's surface to its center?

Answers

Since C = 2rπ
 
if the C of earth = 25000 miles

then the r =  C ÷ (2π)
                = 25,000 miles ÷ 2π
                = 12500 ÷ π
                ≈ 3978.87358 miles

Since radius is a measure of the distance from the center to any point on the circle then that distance would be about 3978.8736 miles

A regular polygonhas 100 sides.
What is the measure of each
exterior angle?
Please help!!

Answers

The measure of each exterior angle is 3.6° provided the regular polygon has 100 sides. This can be obtained by using formula for finding the same.

What is the formula for finding exterior angle of a regular polygon?

The formula for finding exterior angle of a regular polygon is,

360°/number of sides

Calculate the exterior angle:

Given that, number of sides = 100

By using the formula, exterior angle =360°/100 = 3.6°

Hence the measure of each exterior angle is 3.6° provided the regular polygon has 100 sides.

Learn more about finding exterior angle of regular polygon here:

brainly.com/question/13163170

#SPJ2

Answer:

3.6° = ext. angle

Step-by-step explanation:

For the shape to be a regular polygon, all interior angles must be congruent.

We can find every interior angle by using the formula:

(180(n-2))/(n)

(180(100-2))/(100)

(180(98))/(100)

(17640)/(100)

176.4 = each int. angle

We also know that int. and ext. angles are supplementary!

180 = 176.4 - x

3.6° = ext. angle

Caroline baked 3 dozen oatmeal raisin cookies for the bake sale at school this is 1/4 the number of dozens of cookies she baked in all

Answers

Answer:

12 dozen oatmeal raisin cookies

because you would multiply 3 by 4 to get the total amount of cookies that Caroline made


Translate each verbal description into an algebraic expression. Then simplify Five-ninths of (3p+1) subtracted from one-thirf of q+p

Answers

Answer:

(1/3)q  - (4/3) p - 5/9

Step-by-step explanation:

Step one

Write the fractional form of the givens

(1/3)(q + p)

(5/9)(3p + 1)

Step Two

Write out the expression

(1/3)(q + p) - (5/9)(3p + 1)          Remove the brackets

(1/3)q  + (1/3)p - (5/9)*3p - 5/9 Combine the 2 p terms

(1/3)q  + (1/3 - 15/9 )p - 5/9       Reduce 15/9 down to 5/3

(1/3)q  + (1/3 - 5/3)p - 5/9         Combine what is inside the brackets

(1/3)q  + ( - 4/3)p - 5/9              Bring out the minus sign

(1/3)q  - (4/3) p - 5/9                 This should be your answer.