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Solnce55 [7]
3 years ago
8

Write an answer solve an equation to solve each problem. the sum of three consecutive integers is 63. Find the integers. If the

smallest integer is x, the equation will be.
Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

\text{Integers: }20,\:21,\text{and }22,\\\\\text{Equation: }x+(x+1)+(x+2)=63

Step-by-step explanation:

Consecutive integers are defined by integers that follow each other. Therefore, we can set up the following equation:

Let x be the smallest integer, as denoted in the question.

x+(x+1)+(x+2)=63,\\x+x+1+x+2=63,\\3x+3=63,\\3x=60,\\x=20

Therefore, the three integers are 20,\:21,\text{and }22.

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A lifeguard fills a pool with water at a constant rate. After 12 hour, 13 of the pool is filled. At this rate, what fraction of
strojnjashka [21]

At the considered rate the fraction of pool that is filled per hour is 13/12

<h3>How to measure the rate of change of something as some other value changes?</h3>

Suppose that we have to measure the rate of change of y as x changes, then we have:

Rate = \dfrac{y_2 - y_1}{x_2 - x_1}

where we have

\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)


For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.

in 12 hour time interval total 13 pools were filled.

That means

Rate of filling the pool is 13 pools per 12 hours or \dfrac{13}{12} pools per hour.

Thus, at the considered rate the fraction of pool that is filled per hour is 13/12

Learn more about rate of change here:

brainly.com/question/11484885

4 0
2 years ago
If 3/5 of the certain length is 210m then 5/7 of length is​
Mamont248 [21]

Answer:

250 m

Step-by-step explanation:

Let the total length be x m.

\therefore \:  \frac{3}{5}  \times x = 210 \\ x = 210 \times  \frac{5}{3}  \\ x = 70 \times 5 \\ x = 350 \: m \\  \\  \frac{5}{7}  \times x =  \frac{5}{7}  \times 350 = 5 \times 50 = 250 \: m

4 0
3 years ago
Read 2 more answers
How do you solve 5(3+k)=45
Helen [10]
We simplify the equation to the form, which is simple to understand
5(3+k)=45

Reorder the terms in parentheses
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Remove unnecessary parentheses
+15+5k=+45

We move all terms containing k to the left and all other terms to the right.
+5k=+45-15

We simplify left and right side of the equation.
+5k=+30

We divide both sides of the equation by 5 to get k.
k=6
7 0
3 years ago
Read 2 more answers
What is 5 17/18 simplified​
hodyreva [135]

Answer:

It is already simplified

Step-by-step explanation:

5 17/18 is already in it's simplest form. Glad to help

4 0
3 years ago
What is the perimeter of ΔABC?
JulsSmile [24]

Answer:ab+ac+bc

Step-by-step explanation:

7 0
4 years ago
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