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docker41 [41]
3 years ago
10

Can the sides of a triangle have sides of 5, 8, and 16 ???

Mathematics
1 answer:
Nata [24]3 years ago
4 0

Answer:

No.

Step-by-step explanation:

The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.

5 + 8 = 13.

13, which is the sum of two sides, is not larger than 16, the third side.

Therefore, a triangle cannot have these side lengths.

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Solve the equation in the image
inn [45]

Answer:

x=73

Step-by-step explanation:

6 0
3 years ago
Ms. Nina has 10 lbs of 25% sugar syrup. How much water does she need to add to make 10% sugar syrup?
ryzh [129]
She has 10lbs of 25% syrup... so, in the 10lbs, 25% of that is syrup, the rest, namely the 75% remaining is water or other substances.

let's say she adds "x" lbs of water, to get "y" lbs for the 10% mixture.

how much is 25% of 10lbs?  well, (25/100) * 10, or 2.5.

the water has no sugar syrup in it, so is just pure water, so the amoun of syrup in it is 0%, how much is 0% of "x" lbs?  well, (0/100) * x, or 0.00x, which is just 0.

how much is 10% of "y" lbs?  well (10/100) * y, or 0.10y.

whatever "x" and "y" are, we know that 10 + x = y.

we also know that the syrup amount in that is also 2.5 + 0.00x = 0.10y, thus


\bf \begin{array}{lccclll}
&\stackrel{lbs}{syrup}&\stackrel{concentration~\%}{syrup}&\stackrel{concentration}{amount}\\
&------&------&------\\
\textit{25\% syrup}&10&0.25&2.5\\
\textit{pur water}&x&0.00&0.00x\\
------&------&------&------\\
\textit{10\% mixture}&y&0.10&0.10y
\end{array}
\\\\\\
\begin{cases}
10+x=\boxed{y}\\
2.5+0.00x=0.10y\\
----------\\
2.5 = 0.10\left( \boxed{10+x} \right)
\end{cases}
\\\\\\
2.5=1 + 0.10x\implies 1.5=0.10x
\\\\\\
\cfrac{1.5}{0.10}=x\implies 15=x
8 0
3 years ago
Read 2 more answers
–5(v + 65) = -65 v = ____
labwork [276]

Answer:

v = -52

Step-by-step explanation:

Divide both sides by -5

v + 65 = 13

v = 13 - 65

v = -52

4 0
3 years ago
Read 2 more answers
Kim Lu, a data entry clerk, earns $12.25 per hour. She worked 36 hours last week. She also worked 12
lions [1.4K]

Answer:

549

Step-by-step explanation:

Kim Lu, a data entry clerk, earns $12.25 per hour. She worked 36 hours last week. She also worked 12 hours at a part-time job life guarding at $9.00 per hour. What was Kim's total straight-time pay for both jobs?

12.25 * 36 = 441

12 * 9  = 108

441 + 108 = 549

3 0
1 year ago
8.27 Any quarter has a face value of $0.25. An eccentric collector offers to buy state quarters for 600% of their face value. At
Svetach [21]

Answer:

$7.50

Step-by-step explanation:

First we find what is the value at which the eccentric collector offers to buy the quarters for. We know the value at which they will buy the quarter for is 600% of the face value - which is $0.25.

Now we do some math and find the value at which the person will buy the quarter for is $1.50.

Now we multiply the value by 50 since Larry would be giving 50 quarters.

$1.50*50 = 7.50

So, Larry will receive $7.50 for selling his 50 quarters to the eccentric collector.

4 0
2 years ago
Read 2 more answers
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