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Sav [38]
4 years ago
12

The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer.

Mathematics
1 answer:
bija089 [108]4 years ago
6 0

Answer: 31

Step-by-step explanation:

Note that it is given that the three integers are consecutive, meaning that when represented by x, you have 3 integers: x, x+1, and x+2.

Then you use the fact that the sum of the three integers is 90:

         x + x+1 + x+2 = 90

         3x + 3 = 90

         3x = 87

         x = 29

Now notice that the question is asking for the largest integer, not x. So the answer is 31.

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A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs
NeTakaya

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

7 0
3 years ago
Find the value of x and y. Write your answer in simplest radical form. For question 19. And 21.
Inga [223]
19)
6/x = x/12
x^2 = 72
x = √72
x = 6√2

y^2 = 12^2 + (√72)^2
y^2 = 144 + 72
y^2 = 216
y = 6√6

21)
14 - 8 = 6
y/8 = 6/y
y^2 = 48
y = √48
y = 4√3

x^2 = 6^2 +(√48)^2
x^2 = 36 + 48
x^2 = 84
x = √84
x = 2√21

3 0
3 years ago
What is... 8/9 x 7/8
madreJ [45]
0.7 repeating is the answer
6 0
3 years ago
Read 2 more answers
Please help! Thank youu!!!
Hatshy [7]

Answer:

y=\frac{x}{4}

x=4y

x=4(4)=16

x=4(2)=8

x=4(9)=36

x |   y

16   4

8     2

36   9

<u>------------------------</u>

hope it helps...

have a great day!!!

<u />

3 0
3 years ago
Read 2 more answers
(30___5) ÷ 2= 3<br>complete the number sentence to make it true.​
hodyreva [135]

You would have to divide because 30/5= 6 and 6/2= 3

7 0
4 years ago
Read 2 more answers
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