MATHEMATICS HIGH SCHOOL

Sally got a new phone plan that includes limited data of 10 GB for $85, tax included. She has to pay $15 for each additional GB used if she goes over her 10 GB allowed. Part A: Write an equation to describe her data plan where x represents each additional GB used.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

10Gb = 85 dollars

each 1gb =15 dollars

15 times x = 85

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Which equation results from taking the square root of both sides of (x – 9)2 = 81?

Answers

In the question "Which equation results from taking the square root of both sides of (x – 9)2 = 81?" The correct answer is x - 9 = +/- 9. Taking the square root of both sides of the equation (x - 9)^2 = 81 will give: sqrt(x - 9)^2 = sqrt(81) x - 9 = +/- 9 Solving the equation results in two equation: x - 9 = 9 and x - 9 = -9 x = 9 + 9 and x = -9 + 9 x = 18 and x = 0

Answer:

Step-by-step explanation:

Sharon pours salt into a glass of water. The salt dissolves. The substance in the glass is a(n) __________.

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Answer:

Issa Mixture.

Step-by-step explanation:

A salt is a compound. ... Na exists in sodium compounds and Cl as Cl2 or chlorinated compounds. A common example would be table salt where both exist( Sodium Chloride). Sodium Chloride solution consisting of NaCl and water is a mixture. An example would be sea water which consists of several salts. Ur welcome.

The salt is the solute; water is the solvent. Mixed together they become a solution.

The graph of a proportional relationship passes through (12, 16) and (1, y). Find Y.

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This maybe wrong but im guessing that y =1.33

Which of the following terms are like terms?a) 9x and 9y b)12ac^2 and ac^2 c)8xy and 8xz d)ab^2 and x^2y

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Like terms means terms that have the same variable (and with the same exponent).

A) 9x and 9y <-- those are different variables. This is incorrect.

B) 12ac^2 and ac^2 <-- those are the same variables and same exponent. Correct.

C) 8xy and 8xz <-- different variables, incorrect.

D) ab^2 and x^2y <-- different variables, incorrect.

Correct answer is $\fbox {B)}$

Like terms are terms that have the same variables and also have the same exponents on those variables.

Out of all your choices, answer choice B) 12ac^2 and ac^2 fits that definition.

B is your answer.

3. If the legs of an isosceles right triangle are 10 inches long, approximate the length ofthe hypotenuse to the nearest whole number

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Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

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

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