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AveGali [126]
3 years ago
12

Find three consecutive odd integers whose sum is 13 more than twice the largest of the three integers.

Mathematics
1 answer:
kicyunya [14]3 years ago
4 0

Answer:

15, 17, 19

Step-by-step explanation:

Three consecutive odd integers can be represented by

x,  x + 2,  x + 4.  You add 2 to each one to get the next one. Fun fact: you would do the same thing if the problem said the integers were even!

The largest integer is x + 4, so the sentence in the problem translates to an equation (sum means to add the integers together):

x + (x + 2) + (x + 4) = 2(x + 4) + 13

Distribute the 2, then combine like terms.

x + (x + 2) + (x + 4) = 2x + 8 + 13

3x + 6 = 2x + 21

Subtract 2x.

x + 6 = 21

Subtract 6.

x = 15

The integers requested are 15, 17, 19.

Check:  Their sum is 51, which is 13 more than twice 19.

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Equilateral Triangle

(is this what you are asking for?)

3 0
3 years ago
What is the last digit of 2¹³?​
Hitman42 [59]

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2

Step-by-step explanation:

2^13= 8192 and the last digit is 2.

8 0
3 years ago
The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.
sineoko [7]
Answer=12.6

QR=9
QP=6
TU=19
TS=?

The triangles are similar, so the following equation can be made

   9         6
____=____
  19        x        

Cross multiply
9x=114
divide both sides by 9
x=12.6 (with the 6 repeating) or 12 2/3

TS=12.6
3 0
3 years ago
Read 2 more answers
The beads in 7 bracelets if 4 bracelets have 96 bead
Naya [18.7K]
96/4=24 beads in 1 bracelet
beads in 7 bracelets = 24*7=168
3 0
3 years ago
Please help thank you
Shkiper50 [21]

Answer:

x = 0.25

Step-by-step explanation:

When logs are added together, they are actually multiplied and then the logs taken of the product.

That sentence is actually correct, but you are going to have to read it a couple of times. You might understand it if I actually just solve the problem.

ln(2x) + ln(2) = 0              Combine the two subjects to make 1 ln.

ln (2)(2x) = 0                    Now take the antilog

ln(4x) = 0

antilog ln(4x) = e^0         e^0 = 1

4x = 1                                See your last problem.

x = 1/4

Now the question is "What's the answer?" It might be 1/4 but I doubt it. A better choice would be x = 1/4 or x = 0.25

I'd try the last one first.

6 0
3 years ago
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