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OlgaM077 [116]
3 years ago
6

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 dete

rmine the time t in seconds, after which there will be less than 100 gallons of water remaining in the tank.
Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

160\ \text{s}

Step-by-step explanation:

The inequality that represents the situation is

500-2.5t where t is the time in seconds

\Rightarrow -2.5t

\Rightarrow -2.5t

\Rightarrow 2.5t>400

\Rightarrow t>\dfrac{400}{2.5}

\Rightarrow t>160\ \text{s}

So, the time after which there will be less than 100 gallons of water is 160\ \text{s}.

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8 0
3 years ago
Are -2x + 9 = 7 and 2x = 2 equivalent?​
DochEvi [55]

Answer:

Yes because the answer to both of them is 1

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+9=7

Step 1: Subtract 9 from both sides.

−2x+9−9=7−9

−2x=−2

Step 2: Divide both sides by -2.

−2x

−2

=

−2

−2

x=1

Answer:

x=1    

Let's solve your equation step-by-step.

2x=2

Step 1: Divide both sides by 2.

2x

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Answer:

x=1

 

7 0
3 years ago
The area of a square postcard is 25 square inches. How long is each side postcard?​
ivolga24 [154]

Answer:

5 inches

Step-by-step explanation:

To find the area of a square the formula is A = bh which with a square is essentially one side squared. We know this because every side of a square is the same. We also know that 5 squared is 25 meaning the answer is 5 inches(You could also use the formula A = bh : A = 5 x 5 : A = 25).

7 0
3 years ago
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Elena surveyed her classmates to see how many like to make jewelry. When she asked 20 of her classmates, 50 percent said they li
nordsb [41]

10 students of Elena's classmates like to make jewellery.

<u>Step-by-step explanation:</u>

Let total no.of classmates who liked the jewellery = x

Here, in the given problem, given she asked her classmates '20'. So, it clearly shows that total number of students/classmates = 20. Also, in that, 50% said like to make jewellery. Now find 'x' as below,

                    x = 50 \% \text { of } 20

                    x = \frac{50}{100} \times 20

                    x = 10

Hence, the total number of classmates who liked to make Jewellery = 10

5 0
3 years ago
What does -4x+7=11 equal ?
viktelen [127]
-7 to make 4 so -4x=4 x=-1

The answer is x=-1

Hope this helps:)
6 0
3 years ago
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