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3 years ago

Enter an equation in standard form to model the linear situation.

1 answer:

5 0

28=5x+18? do you need to know how long it takes to fill up the the gallon or just the equation? that’s the equation tho.

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Help , please and thanks

ira [324]

Answer:

891,962,172,409

try that

Step-by-step explanation:

5 0

4 years ago

It takes 20 minutes for 5 people to paint 5 walls.

Sergio039 [100]

Answer:

heres what i can find on the internet

Step-by-step explanation:

So, 5 walls = 4500 ft2 & since there are 5 people (all doing equal work) then each man paints 900 ft2 in 20 minutes. So, the total time is 20 minutes.

7 0

4 years ago

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

$3x+4y=15$

Isolate the variable y

Subtract $3x$ both sides

$3x+4y-3x=15-3x$

$4y=-3x+15$

Divide by $4$ both sides

$y=-\frac{3}{4}x+ \frac{15}{4}$

the slope of the given line is

$m=-\frac{3}{4}$

Step 2

Find the equation of the line that passes through the point $(8,-2)$ and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-\frac{3}{4}$

$(x1,y1)=(8,-2)$

substitute in the equation

$y+2=-\frac{3}{4}(x-8)$

$y=-\frac{3}{4}x+6-2$

$y=-\frac{3}{4}x+4$ or $3x+4y=16$

therefore

<u>the answer is</u>

$y=-\frac{3}{4}x+4$

$3x+4y=16$

8 0

3 years ago

Max went to the store and bought 22 apples. He bought twice as many red apples as he did green, and he bought one-third many yel

katrin [286]

Let the number of green apples bought be x

Green apples = x

Red apples = 2x

Yellow apples = 1/3 (2x) = 2/3 x

Total = 22 apples

x + 2x + 2/3 x = 22

11/3 x = 22

11x = 66

x = 6

Green apples = x = 6

Red apples = 2x = 2(6) = 12

Yellow apples = 2/3 (2x) = 2/3 (6) = 4

Answer: Green = 6, Red = 12, Yellow = 4

7 0

3 years ago

An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, h

UNO [17]

Answer:

$\frac{225}{16} cm/s$

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=25cm^3/s$

Side of base=4 cm

l=w=4 cm

Height,h=12 cm

We have to find the rate at which the water level rising when the water level is 4 cm.

Volume of pyramid= $\frac{1}{3}lwh=\frac{1}{3}l^2h$

$\frac{l}{h}=\frac{4}{12}=\frac{1}{3}$

$l=\frac{1}{3}h$

Substitute the value

$V=\frac{1}{27}h^3$

Differentiate w.r.t t

$\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}$

Substitute the values

$25=\frac{1}{9}(4^2)\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s$

5 0

3 years ago