What is the slope of the line below? *

Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana to

Kipish [7]

So, if tom eats 10 bananas in 10 days

than, monkey have eaten 40 apples and 20 bananas

hope this helped

8 0

3 years ago

A local charity is selling seats to a baseball game. Seats cost $24 each, and snacks cost an additional $6

Crazy boy [7]

Answer:

To raise exactly $240, the charity needs to sell 20 snacks.

Step-by-step explanation:

Let

s = number of seats sold

y = number of snacks sold

Seats cost $24 each, then s seats cost $24s.

Snacks cost an additional $6 each, then y snacks cost $6y.

In total, s seats and y snacks cost $(24s+6y).

The charity needs to raise $240 to consider this event a success, so

$24s+6y=240$

If 5 seats are sold, then

$24\cdot 5+6y=240\\ \\120+6y=240\\ \\6y=240-120\\ \\6y=120\\ \\y=20$

To raise exactly $240, the charity needs to sell 20 snacks.

To solve this problem graphically, plot the graph of the line $24s+6y=240$ and find on this line point with s-coordinate 5. This is exactly point (5,20), so the charity needs to sell 20 snacks.

5 0

3 years ago

Compare these rational numbers. Which of the following are true?

Inessa [10]

Answer:

i. false

ii. true

iii. true

iv. false

When comparing negative numbers, if you disregard the negative sign, the apparent greater value will actually be the smaller.

6 0

2 years ago

The volume of this triangular prism is 32 cubic inches. What is the value of d?

krek1111 [17]

Answer:

Divide the volume by the length of the prism to get the area of the face:

468/13 = 36 square yards.

The area of the face ( triangle) is 1/2 x base x height

Replace with what you have:

36 = 1/2 x 9 x g

Multiply both sides by 2 to remove the 1/2:

72 = 9 x g

Divide both sides by 9 to find g:

g = 72 /9

g = 8 yards.

3 0

2 years ago

Which relationships have the same constant of proportionality between y and x as in the equation y=1/2x Choose 3 answers:

Andrew [12]

Answer:

A and B has the same constant of proportionality

Step-by-step explanation:

$y \propto x$

$y = kx ----1$

Where k is the constant of proportionality

We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation $y=\frac{1}{2}x$

On comparing with 1

$k = \frac{1}{2}$

A)6y = 3x

$y = \frac{3}{6}x\\y = \frac{1}{2}x$

So, this equation has the same constant of proportionality

B) $(x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)$

To find the equation :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, $y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x$

So, this equation has the same constant of proportionality

C)

$(x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)$

To find the equation :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, $y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x$

So, this equation do not has the same constant of proportionality

D)

$(x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)$

To find the equation :

Formula : $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, $y - 1=\frac{2.5-1}{3-2}(x-2)$

$y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2$

So, this equation do not has the same constant of proportionality

Hence A and B has the same constant of proportionality

3 0

3 years ago

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