Chet's father is five times as old as Chet. In six years, his father only be three times as old. How old is Chet now?

Answers

Answer 1

Answer: 12 bc if u take a random number like 6 times it by 5 you get thirty so his dad is 30 years old and chet is 6 then add six years and chet is 12 and his dad is 36 and 12 goes into 36 3 times. I hope this helped. :-)

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An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

This function canbe represented by the quadratic equation f(x)=0.15(x+60)^2; This situation can be represented by the exponential function f(x)=60 x 1.15^x; After 7.86 years the value of the investment will be 3 times the initial value.

A prism has the surface area of 100 cm². What sentence describes the effect of measuring the surface area in square millimeters?A. The Surface area increases

B. The Surface area decreases

C. The surface area stays the same, but the number representing the surface area increases.

D. The surface area stays the same, but the number representing the surface area decreases.

Answers

Answer:

A. The surface area stays the same, but the number representing the surface area increases.

Answer:

Step-by-step explanation:

The table shows the number of candies packed by Machine J. The equation shows the number of candies packed by Machine K. In both representations, x is a measure of the number of minutes and y is a measure of the number of candies packed. Machine J Candy Packing
x
(minutes) y
(candies)
3 90
6 180
9 270
12 360

Machine K: y = 26x

How many more candies could machine J pack than machine K in 11 minutes?
30
44
90
330

Answers

To find out the answer, treat both machines as lines. The answer can be found when you have equations for each machine. The first step of that would be to make an equation for "line" J, so find the slope using two sets of its given coordinates, I'll use (3,90) and (6,180).

$(y_2 - y_1)/(x_2 - x_1)$ Substitute in the x and y values
$(180 - 90)/(6 - 3)$ Subtract
$(90)/(3)$ Divide
30

Now that you know 30 is the slope, you can plug that and one set of coordinates, I'll use (3,90) into point-slope form.

y - y_1 = m(x - x_1) Substitute in your x and y coordinates and slope
y - 90 = 30(x - 3) Use the Distributive Property
y - 90 = 30x - 90 Add 90 to both sides
y = 30x

Now you have the equations for both machines. You want to find out how many candies each machine packages in 11 minutes, and x represent minutes, so plug 11 into the x value for both equations.

Machine J

y = 30x Substitute
y = 30 (11) Multiply
y = 330

Machine J packs 330 candies in 11 minutes.

Machine K

y = 26x Substitute
y = 26 (11) Multiply
y = 286

Machine K packs 286 candies in 11 minutes.

Finally, to find out how many more candies Machine J packs than Machine K, subtract the two values.

330 - 286 = 44

Machine J can pack 44 more candies than Machine K in 11 minutes.

Solve for x

X cubed =27/64

Answers

$$x=(3)/(4)$

Solution:

Given expression is $x^3=(27)/(64)$ .

To solve the expression and find the value of x.

$$\Rightarrow x^3=(27)/(64)$

27 can be written as 3 × 3 × 3 = $3^3$

64 can be written as 4 × 4 × 4 = $4^3$

$$\Rightarrow x^3=(3^3)/(4^3)$

Taking cube root on both sides of the function.

$$\Rightarrow\sqrt[3]{x^3}=\sqrt[3]{(3^3)/(4^3)}$

Cube and cube roots are cancelled.

$$\Rightarrow x=(3)/(4)$

Therefore, $x=(3)/(4)$ .

What equals 126 prime factorazation

Answers

126 prime factorization.

126
/ \
21 6
/ \ /\
3 7 3 2

126 = 3 * 7 * 3 * 2

is a composite number. 126 = 1 x 126, 2 x 63, 3 x 42, 6 x 21, 7 x 18, or 9 x 14. Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. Prime factorization: 126 = 2 x 3 x 3 x 7, which can also be written 2 x (3^2) x 7.
hopes this helps :) :D :)

A clown bought 6 bags of round balloons with 24 balloons in each bag. The clown also bought 3 bags of long balloons with 36 balloons in each bag. How many more long balloons than round balloons did the clown buy

Answers

6 x 24 = 144 round balloons

3 x 36 = 108 long balloons

The clown has more round balloons than long balloons, so there is some misunderstanding in the question.

$Amount\ of\ round\ balloons:\n6\cdot24=144\n\nAmount\ of\ long\ balloons:\n3\cdot36=108\n\n144-108=36\n\nThe\ clown\ bought\ 36\ more\ round\ than\ long\ balloons.$

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