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2 years ago

Create a system of equations that has a solution of (1, 2)

Mathematics

1 answer:

Rus_ich [418]2 years ago

8 0

Two equations could be y=2x and y=4x-2

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A farm had 480 acres more wheat than corn. After the farmers collected 80% of the wheat and 25% of the corn, the area of the whe

Sergio [31]

The area covered by corn is x
The area covered by wheat is (x+480)
After 80% of wheat was collected, the new area was:
20/10(x+480)
=1/5(x+480)
After 25% of the corn was collected, the new area was:
75/100x
=3/4x
New area equation will be:
(3/4)x=1/5(x+480)+300
(3/4x)=(1/5)x+96+300
solving for x we get:
11/20x=396
x=720
thus the original area of corn was 720 acres
Original area of wheat was 720+480=1200 acres

7 0

2 years ago

Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

2 years ago

Write an inequality that equals negative 2 is less than or equal to x

slamgirl [31]

2 equal 4 Answer:

Step-by-step explanation:

3 0

2 years ago

20% of the shoes in a factor are black. One shoe is chosen and replaced. A second shoe is chosen and replaced. Then a third shoe

Dafna1 [17]

The probability that none of the shoes are black is 51.2%.

If 20% of the shoes are black, then 80% of the shoes are not black. To find the probability that three shoes are not black, we have to multiply 80% by itself 3 times.

0.8 x 0.8 x 0.8 = 0.512 = 51.2%

4 0

2 years ago

Wilson paints 40% of a bookcase in 20 minutes how much more time will it take him to finish the bookcase?

Nadya [2.5K]

Answer:

30 minutes

Step-by-step explanation:

First you can break down the percent and the time into a fraction

You can divide it by 2

so 2%/1 (2% in 1 minute)

Then you find the amount of time it would take to paint the whole bookcase

2 * 100 = 50

So time to paint the whole bookcase would be 50

50 - 20 = 30

5 0

3 years ago

Read 2 more answers