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2 years ago

11

Which is the solution to the system of equations?

1 answer:

Ivenika [448]2 years ago

4 0

Answer:

D. (2, -3/4)

Step-by-step explanation:

y=1/8x-1

-5x+4y=-13

5x+4(1/8x-1)=-13

x=2

y=1/8x2-1

y=-3/4

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7.29. hose fills a swimming pool at a rate of 0.5 gallons per second. If the pool's capacity is 9,000 gallons, then how many hou

Bond [772]

Answer:

<u>It takes the hose 300 hours to fill the pool</u>

<u />

Step-by-step explanation:

The hose can fill the pool at a rate of 0.5 gallons per second, which means that it can fill the pool at a rate of 1 gallon per 2 seconds. It needs to fill 9000 gallons of water, so assuming the ratio remains 1:2, it takes the hose 18000 (9000*2) seconds to fill the pool completely.

However, it is important to note that we have to answer in terms of hours. There are 60 seconds in an hour, so 18000 seconds is equal to <u>300 hours</u> (18000/60).

7 0

1 year ago

Read 2 more answers

A) What are the coordinates of the image of vertex G after a reflection across the line y = x?

Oksanka [162]

Answer:

b. (-5, 4)

Step-by-step explanation:

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2 years ago

Liz runs 8 feet per second. Katie runs 350 feet in 31 seconds. Katie runs 350 feet in 31 seconds. Stephanie runs 1 mile in 388 s

VikaD [51]

Answer: Stephanie is the fastest

Step-by-step explanation:

Here we have to find who runs faster:

Liz:

$8 ft/s$

Katie:

$\frac{350 ft}{31 s}=11.29 ft/s$

Stephanie:

$\frac{1 mile}{388 s}. \frac{5280 ft}{1 mile}=\frac{5280 ft}{388 s}=13.60 ft/s$

Noah:

$\frac{541 ft}{1 min}. \frac{1 min}{60 s}=9.01 ft/s$

As we can see after comparing, Stephanie is the fastest, since she travels more distance in less time.

7 0

2 years ago

PLEASE HELP ME! Simplify the expression.

mote1985 [20]

First expression simplified would be
-2z - 63

second expression would be
-a + b

i hope that’s right!!!!!!! i’m so sorry if it’s not

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2 years ago

Write the equation in siope-intercept form for the line that passes through the given pointand is perpendicular to the given equ

yulyashka [42]

For a line in the form:

$\begin{gathered} ax+by=c \\ The\text{ slope m is:} \\ m=-\frac{a}{b} \end{gathered}$

In this case, for the line 2x + 10y = 20 with a=2 and b=10 the slope is:

$\begin{gathered} m_1=-\frac{a}{b}=-\frac{2}{10} \\ m_1=-\frac{1}{5} \end{gathered}$

Now, two lines are perpendiculars if the slopes satisfy the following equation:

$m_2=-\frac{1}{m_1}$

So, for the line we want the slope is:

$\begin{gathered} m_1=-\frac{1}{5} \\ m_2=-\frac{1}{m_1}=-\frac{1}{(-\frac{1}{5})}=5 \end{gathered}$

Finally, the line pass througth the point (2, 3) with slope m=5, so the equation is:

$\begin{gathered} P_1=(2,3),m=5 \\ y=mx+b \\ \text{The P1 must satisfy the equation:} \\ 3=5\cdot2+b \\ b=3-10 \\ b=-7 \end{gathered}$

The equation of the line is y = 5x - 7

7 0

1 year ago