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MA_775_DIABLO [31]

3 years ago

8

A garden market sells pumpkin seeds by the box. There are M pumpkin seeds in one pocket and N packets in a box. If each box of p

umpkin seeds contains 450 total seeds, which equation represents this scenario

1 answer:

Anastasy [175]3 years ago

3 0

Answer:

n=420

Step-by-step explanation:

m=?

n=450

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Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin

Snowcat [4.5K]

Let f be the height of the fir trees
Let p be the height of the pine trees

We know from the problem that
f + p = 21 and 4f = 24 + p
rearrange the 2nd equation to get p = 4f - 24 and substitute into the other equation

so...
f + 4f - 24 = 21
5f - 24 = 21
5f = 45
f = 9 - height of the fir tree

substitute back into the 1st equation
9 + p = 21
p = 12 - height of the pine tree

8 0

2 years ago

Graph the line with slope 1/4 and y intercept -2

andrey2020 [161]

Answer:

y= 1/4x -2

Step-by-step explanation:

Y=mx+b

m is the slope

b is the y intercept

8 0

2 years ago

Read 2 more answers

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 w

Liono4ka [1.6K]

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

$t = 5.0625$

Step-by-step explanation:

Given

$h(t)=-16t^2+80t+5$

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

$0=-16t^2+80t+5$

Reorder

$-16t^2+80t+5 = 0$

Using quadratic formula, we have:

$t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

Where

$a = -16$ $b =80$ $c = 5$

So, we have:

$t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}$

$t = \frac{-80\±\sqrt{6400 +320}}{-32}$

$t = \frac{-80\±\sqrt{6720}}{-32}$

$t = \frac{-80\±82.0}{-32}$

This gives:

$t = \frac{-80+82.0}{-32}$ or $t = \frac{-80-82.0}{-32}$

$t = \frac{2}{-32}$ or $t = \frac{-162}{-32}$

$t = -\frac{2}{32}$ or $t = \frac{162}{32}$

But time can not be negative.

So, we have:

$t = \frac{162}{32}$

$t = 5.0625$

<em>Hence, time to hit the ground is 5.0625 seconds</em>

3 0

2 years ago

One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.

Scilla [17]

Answer:

The measure of the two supplementary angles are 65 degrees and 115 degrees.

Step-by-step explanation:

The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,

$x+y=180\ ....(1)$

According to given condition,

One supplementary angle is 15 degrees less than twice the other, it means,

$x=2y-15\ .....(2)$

Putting the value of x from above equation in equation (1),

$2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}$

Now put the value of y in equation (1), so,

$x+65=180\\\\x=115^{\circ}$

So, the measure of the two supplementary angles are 65 degrees and 115 degrees.

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3 years ago

Georgia needed to sell her iPhone. She priced it at

nadezda [96]

Answer:

572

Step-by-step explanation:

12% of 650 is 78

650 - 78 = 572

8 0

2 years ago