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2 years ago

HELP MEEEEEEE Which properties can be used to solve 7y − 15 = −29? Select all that apply.

Mathematics

2 answers:

Damm [24]2 years ago

8 0

Answer:

Step-by-step explanation:

B,D

Amiraneli [1.4K]2 years ago

3 0

Answer:

$\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}$

Step-by-step explanation:

$\sf 7y-15=-29$

Using the additive property of equality, we add 15 to both sides of the equation.

$\sf 7y-15+15=-29+15$

$\sf 7y=-14$

Using the inverse property of multiplication, we divide both sides of the equation by 7.

$\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}$

$\sf y = -2$

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Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 32feet above the ground,

Jlenok [28]

Answer:

There are two times for the ball to reach a height of 64 feet:

1 second after thrown ⇒ the ball moves upward

2 seconds after thrown ⇒ the ball moves downward

Step-by-step explanation:

* Lets explain the function to solve the problem

- h(t) models the height of the ball above the ground as a function

of the time t

- h(t) = -16t² + 48t + 32

- Where h(t) is the height of the ball from the ground after t seconds

- The ball is thrown upward with initial velocity 48 feet/second

- The ball is thrown from height 32 feet above the ground

- The acceleration of the gravity is -32 feet/sec²

- To find the time when the height of the ball is above the ground

by 64 feet substitute h by 64

∵ h(t) = -16t² + 48t + 32

∵ h = 64

∴ 64 = -16t² + 48t + 32 ⇒ subtract 64 from both sides

∴ 0 = -16t² + 48t - 32 ⇒ multiply the both sides by -1

∴ 16t² - 48t + 32 = 0 ⇒ divide both sides by 16 because all terms have

16 as a common factor

∴ t² - 3t + 2 = 0 ⇒ factorize it

∴ (t - 2)(t - 1) = 0

- Equate each bracket by zero to find t

∴ t - 2 = 0 ⇒ add 2 to both sides

∴ t = 2

- OR

∴ t - 1 = 0 ⇒ add 1 to both sides

∴ t = 1

- That means the ball will be at height 64 feet after 1 second when it

moves up and again at height 64 feet after 2 seconds when it

moves down

* There are two times for the ball to reach a height of 64 feet

1 second after thrown ⇒ the ball moves upward

2 seconds after thrown ⇒ the ball moves downward

3 0

2 years ago

Theresa has hired Chuck and Diana to paint a fence. Diana can paint 150 fence posts in the same time it takes Chuck to paint 130

Alenkasestr [34]

Answer: Chuck can paint 65 posts per hour.

Step-by-step explanation:

The data we have here is:

Diana can paint 150 fence posts in a time T

Chuck can pint 130 fence posts in a time T.

In one hour, Diana can paint 10 more fence posts than Chuck.

If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:

D = 150/T

C = 130/T

D = C + 10

we can replace the last equation in the first one and geT:

C + 10 =150/T

C = 130/T

Now we can replace the bottom equation in the above one:

130/T + 10 = 150/T

10 = 150/T - 130/T = 20/T

T*10 = 20

T = 20/10 = 2

So T is 2 hours, then whe have:

D = 150post/2hours = 75 posts per hour.

C = 130 posts/2hours = 65 posts per hour.

4 0

2 years ago

What does it mean in context of the example that Alyssa’s rate of change is greater than Sarah’s?

faltersainse [42]

Answer:

Part 1) The rate of change is the amount of money saved by week

Part 2) The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.

Part 3) see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

The complete question is

Part 1) What does the rate of change in the example represent?

Part 2) What does it mean in context of the example that Alyssa’s rate of change is greater than Sarah’s?

Part 3) Write ordered pairs for the initial values of each function. Tell what the initial values represent

Part 1) we know that

The rate of change is the slope or unit rate of the linear equation

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this context the rate of change is the amount of money saved by week

Part 2) we know that

Alyssa’s rate of change is equal to $8 per week

Sarah’s rate of change is equal to $6 per week

That means ----> The amount of money saved weekly by Alyssa is greater than the amount of money saved weekly by Sarah.

Part 3) we know that

The initial value or y-intercept is the value of y when the value of x is equal to zero

In this context , the initial value is the amount of money available at the time of beginning to save

Sarah's Savings

Looking at the graph

The initial value is the point (0,8)

That means ----> At the beginning (x=0), Sarah already had $8 saved.

Alyssa's Savings

Looking at the graph

The initial value is the point (0,0)

That means ----> At the begin (x=0), Alyssa had nothing saved.

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2 years ago

Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the

AVprozaik [17]

All you have to do is divide the volume of the container (43.875) by 5 (length) and 3.9 (width) because the formula for the volume of a rectangular prism is V=lwh. So the answer/height of the storage container is 2.25 meters

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Fiona divided 3x2 + 5x – 3 by 3x +2. The expression represents the remainder over the divisor. x + 1 + What is the value of a?

grigory [225]

x + 1
__________
3x+2 I 3x² +5x -3
3x² +2x
----------
3x -3
3x+2
--------
-5 is the remainder

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2 years ago

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