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3 years ago

List all the pairs of integers with a product of 36. then find the pair whose sum is 20

Mathematics

2 answers:

strojnjashka [21]3 years ago

5 0

Answer: It must be (18,2) or (2,18).

Step-by-step explanation:

Since we have given that

The product of pairs of integers = 36

So, pairs must be

(1,36)

(2,18)

(3,12)

(4,9)

(6,6)

(9,4)

(12,3)

(18,2)

(36,1)

But we need the pair of integers whose sum is 20.

So, it must be (18,2) or (2,18).

RoseWind [281]3 years ago

4 0

This is an excellent practice for the solution of quadratic equations.

1*36=36 => (1,36)
2*18=36 => (2,18)
3*12=36 => (3,12)
4*9=36 => (4,9)
6*6=36 => (6,6)
9*4=36 => (9,4)
12*3=36 => (12,3)
18*2=36 => (18,2)
36*1=36 => (36,1)

We can see that the sum decreases until the two factors are close (or equal) and then increases again.

The pair of integers with a sum of 20 is therefore (2,18) or (18,2).

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pychu [463]

Answer:

B 8.56

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8 0

2 years ago

Read 2 more answers

Y= 5x + 13 <br> and<br> y= x + 45

arsen [322]

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

y=5x+13
y=x+45

Find x:

the two equation, the x and are breaked apart..
so find a number that they can both equal to together and has the same y.
multiply by 8..
$5$ · $8=40$

combine the terms for x and 13
$40+13=53$

since x is 8 then if we add 8 with 45 it should be 53...
$8+45=53$

y is:

this means that y=53.

Therefore, x=8 and y=53..

7 0

3 years ago

Which equation can be used to solve for x in the parallelogram below?

densk [106]

Answer:

B. (3x - 12)° = (2x + 8)°

Step-by-step explanation:

This equation can be used to solve x.

3x - 12 = 2x + 8

3x - 2x = 12 + 8

x = 20°

-------------------------------------------------------------------

Verification:

3(20) - 12 = 2(20) + 8

60 - 12 = 40 + 8

48° = 48°

6 0

3 years ago

To evaluate whether a new fertilizer improves plant growth more than the old fertilizer, the fertilizer developer gives some pla

olga2289 [7]

Answer:

B) Experiment: you imposed a treatment (new fertilizer on some plants, old on others) to determine its effect.

Step-by-step explanation:

In this situation, the fertilizer developer wants to evaluate a hypothesis, not just observe, by subjecting plants to two different treatments (new and old fertilizer) in order to determine which treatment provides a more desirable effect (more plant growth).

This process configures an experiment.

The answer is alternative B)

6 0

3 years ago

Is -8-2(3+2n)+7n equivalent to -30-13n. Explain why or why not.

seropon [69]

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Step-by-step explanation:

Let us revise the operation of the negative and positive numbers

(-) + (-) = (-)
(-) × (-) = (+)
(-) + (+) = the sign of greatest [(-) if the greatest is (-) or (+) if the greatest is (+)]
(-) × (+) = (-)
(-) - (+) = (-)
(+) - (-) = (+)

∵ The expression is -8 - 2(3 + 2n) + 7n

- Simplify it

∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n

∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n

- Multiply the bracket by (-)

∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n

- Add the like terms

∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n

∴ -8 - (6 + 4n) + 7n = -14 + 3n

∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n

∵ -14 + 3n ≠ -30 - 13n

∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Learn more:

You can learn more about the directed numbers in brainly.com/question/10364988

#LearnwithBrainly

8 0

3 years ago