Water is pumped out of a 500-gallon tank at a rate of 2.5 gallons per second. The inequality 500−2.5t<100 can be used to determine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.

Answer:

Your correct answer is x = 42 .

My Step-by-step explanation:

Just turn the problem around by changing the subtraction to addition: 100 – x = 58 means the same thing as 100 – 58 = x, so x = 42.

Answer:

Approximately 7 people.

Step-by-step explanation:

Make a proportion of x/6 and divide 40 by 6. We get 6.23333...

This is approximately 7 people.

Answer:

still need it?..........

Answer:

21. yes 22. yes 23: no 24:no 25:yes

EZ

Answer:

89, 78, 67, 56

Step-by-step explanation:

The next four terms of the arithmetic sequence is

As we can see that from the given sequence that 11 is deducted from each following number

122, 111, 100, 89, 78, 67, 56

122, (122 - 11), (111 - 11)

So the above represent the next four terms

Answer:

the second one

Step-by-step explanation:

i dont know if this is right i am not the best but i tried hope i got it

Answer:

the variable h divided by 8. The quotient of h and 8

Step-by-step explanation:

Answer:

x=21

Step-by-step explanation:

17x + 50 should equal to 19x + 8

so,

50 - 8 = 42 it means 42 shoul equal to (19x - 17x) = 2x.

so if 2x = 42 = 2x/2 = 42/2 = x = 21...

Answer:

1.6/20

2.14/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

57.6

Step-by-step explanation:

4.66666 yard 14 feet =4yd 2 feet

Answer:

7.36 cm²

Step-by-step explanation:

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

The formula for the area of a triangle is given as:

1/2 × Base × Height

Base = 3.2 cm

Height = 4.6 cm

Hence,

Area of the triangle = 1/2 × 3.2 × 4.6

= 7.36 cm²

Answer:

y = 1/2x - 8

Step-by-step explanation:

(4, -6) & (8, -4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - (-6)) / (8 - 4)

Simplify the parentheses.

= (2) / (4)

Simplify the fraction.

2/4

= 1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = 1/2(8) + b

To find b, multiply the slope and the input of x(8)

-4 = 4 + b

Now, subtract 4 from both sides to isolate b.

-8 = b

Plug this into your standard equation.

y = 1/2x - 8

This is your equation.

Check this by plugging in the other point you have not checked yet (4, -6).

y = 1/2x - 8

-6 = 1/2(4) - 8

-6 = 2 - 8

-6 = -6

Your equation is correct.

Hope this helps!

.05866 as a fraction is 2933 / 50000

Explanation: Convert to a mixed number by placing the numbers to the right of the decimal over 100000. Then reduce the fraction.

Answer:

here you go

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

x= 1  and x= -1

Step-by-step explanation:

[tex]5x^{2} +2=7[/tex]

(subtract 2 from both sides)

[tex]5x^{2} =5[/tex]

(divide by 5 from both sides)

[tex]x^{2} =1[/tex]

(take the square root from both sides)

x=±√1

so,

x= 1

and

x= -1

Answer:

700*44.5/100 will be what we have to reduce from £700.

So we have to reduce £311.5 from  £700

Which gives us £388.5

Answer:

44

Step-by-step explanation:

Answer: Choice B)  2x-60 = 180

===========================================================

Explanation:

A bit of the question got cut off. I'm assuming the full question reads "In this diagram, the measure of angle RQS is 60 degrees less than the measure of angle PQS"

The portion underlined is the part cut off where I'm making the assumption. If that assumption is correct, then we have

Those two adjacent angles form a straight line of 180 degrees

(anglePQS) + (angleRQS) = 180

(x) + (x-60) = 180

2x-60 = 180

which points to choice B as the answer.

Answer:

Step-by-step explanation:

∠RQS = x - 60°

∠RQS = 180° - x

x - 60° = 180° - x

2x - 60° = 180°

Answer:

[tex]\frac{m^{6}}{5}[/tex] / [tex]\frac{5}{m^2}[/tex] = [tex]\frac{m^8}{25}[/tex]

Step-by-step explanation:

  [tex]\frac{m^{6}}{5}[/tex] / [tex]\frac{5}{m^2}[/tex]

= [tex]\frac{m^{6}}{5}[/tex] * [tex]\frac{m^2}{5}[/tex]

= [tex]\frac{m^8}{25}[/tex]

Answer:

(103) ^3 =(100+3) ^3

=(100) ^3 +3 ^3 +3×100×3(100+3)

=1000000+27+90000+2700

=1092727

Step-by-step explanation:

Hope it is helpful....

Answer:

It would be equal to 1092727

Step-by-step explanation:

You would expand and get 103 times 103 times 103.

I didn't know what identity ur talking about

Answer:

yes, the volume would be increased by 4

Step-by-step explanation:

the volume for a box is l x w x h

lets say l = 4, w = 3, and h = 2

this would give us a volume of 24

now calculate the new volume: l x w x 4h

4 x 3 x (4 x 2) = 96 which is 4 times bigger than 24

Answer:

x = 7

AC = 44

Step-by-step explanation:

Find the diagram attached

According to the parallelogram,

BD = 2BE

5x-3 = 2(2x+2)

5x-3 = 4x+4

5x-4x = 4+3

x = 7

Hence the value of  x is 7

Also AC = 2AE

AC = 2(4x-6)

AC = 8x - 12

AC = 8(7) - 12

AC=  56-12

AC = 44

Hence the measure of AC is 44

Answer:

4.5 .       ^14

Step-by-step explanation:

dont cheat in tests next time not everyone is as kind as me

Answer:

It would be 4.5 x 10^14

Step-by-step explanation:

Just multiply the decimals and for the exponents, you add them.

Answer:

x>3

Step-by-step explanation:

Answer:x<3

Step-by-step explanation:because

Answer:

11.47

Step-by-step explanation:

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

Find the last side of the triangle using the Pythagorean theorem.

good luck, i hope this helps :)

Answer:

x = -36

Step-by-step explanation:

Add 12 to both sides

x - 12 + 12 = x

(12 cancels out)

-48 + 12 = -36

x = -36

Answer:

A

Step-by-step explanation:

(x-4)^2=5

(x-4)(x-4)=5

x(x-4)-4(x-4)=5

distribute

x^2-4x-4x+16=5

combine like terms

x^2-8x+16=5

move terms to the left and combine

x^2-8x+11=0

use the quadratic formula and simplify

x=-(-8)+/-2 to the square roots of 5 over 2

separate and solve

x=4+ square root of 5

x=4- square root of 5

ANSWER: x=4+/- square root of 5