1 \frac{1}{6}y-8=6[/tex] please explain how to do this

Answers

Answer 1

Answer: (1/6)*y - 8 = 6 => (1/6)*y = 14 => y = 84;

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The perimeter of a rectangle is 70 cm. If its length is decreased by 5 cm and its width is increased by 5 cm, its area will increase by 50 cm2. Find the length and the width of the original rectangle.
Find the value or values of the Y in the quadratic equation y squared + 4 y + 4 equals 7

If W is 25% of Z, then Z:W is 75:25.
Is it true or false??

Answers

That is false because is percentage is basically x/100, so W:Z is 25/100. Thus, Z:W is 100:25

It would be false for sure because 25% or .25 will be considered with 100 100/.25 and so not forget to put in simplest form so it will be 4 / .1 and that does not equal to 75/25 Hoped that helped !!!!

The volume of a hemisphere is 144 pi. Find the radius and total surface area.

Answers

Formula of the Volume of a hemisphere:
V = $(2)/(3)$ $\pi$ r³
144 $\pi$ = $(2)/(3)$ $\pi$ r³
Multiply by 3 to cancel fraction in the right side
144 $\pi$ × 3 = 2 $\pi$ r³
432 $\pi$ = 2 $\pi$ r³
Divide by 2 $\pi$ on either sides to isolate r³
$(432 \pi )/(2 \pi )$ = $(2 \pi )/(2 \pi )$ r³
2 $\pi$ and $2 \pi$ cancel out
216 = r³
Take cube root to find the radius
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2 $\pi$ r² + $\pi$ r²
= $2\pi$ (6)² + $\pi$ (6)²
=2 $\pi$ × 36 + 36 $\pi$
= 72 $\pi$ + 36 $\pi$
= 108 $\pi$ units² (in terms of $\pi$ )
≈ 339.12 units²

Surface area = 108 $\pi$ units

The population of the country of Oz was 600,000 in the year 2010. The population is expected to grow by a factorof 5% annually. The annual food supply of Oz is currently sufficient for a population of 700,000 people and is
increasing at a rate that will supply food for an additional 10,000 people per year.
c. At what point does the population exceed the food supply? Justify your response.

Answers

Answer:

After 5 years (2015)

Step-by-step explanation:

The population is increasing 5% per year, so the first year it will be 1.05 of the initial, the next year 1.05x1.05 of the initial, and then successively, so, for n years:

P(n) = 600,000*(1.05)ⁿ

The food suply increase 10,000 people per year, so the first year will be 10,000 + the initial, the next year 10,000 + 10,000 + the initial, and then successively, so, for n years:

F(n) = 70,000 + 10,000*n

P(n) > F(n)

600,000*(1.05)ⁿ > 70,000 + 10,000*n

(1.05)ⁿ > 1.167 + 0.0167n

Solving in a computer:

n > 4.42

So, after 5 years the population exceed the food supply.

Write an expression that matches the verbal expression: seven less than a number.

Answers

N-7 because when writing algebraic expressions you flip the order

Mai bought a television for $325. The tax rate is 8%. Which proportion can be used to find the amount of tax Mai will pay?

A.8/325=x/100

B.8/325=100/x

C.8/100=325/3

D.8/100=x/325

Answers

the answer is
A. 8/225 = x/100

The sum of two numbers is 68. The larger number is 16 more than the smaller number. What are the numbers?

Answers

Answer:

x = 26

Step-by-step explanation:

68=x +(16+x) and if you plug in 26 it is 68

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