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poizon [28]
3 years ago
7

Pls help me ill give brainliest and no links ty!<3:)

Mathematics
1 answer:
Neko [114]3 years ago
5 0

T is the midpoint of PQ

PT=TQ

5x+7 = 7x-7

2x= 14

x= 14/2

x= 7

PT = 5(7)+7 = 42

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A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o
ladessa [460]
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}&#10;&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\&#10;&------&------&------\\&#10;\textit{18\% solution}&x&0.18&0.18x\\&#10;\textit{40\% solution}&y&0.40&0.4y\\&#10;------&------&------&------\\&#10;mixture&10&0.20&2&#10;\end{array}

\bf \begin{cases}&#10;x+y=10\implies \boxed{y}=10-x\\&#10;0.18x+0.4y=2\\&#10;----------\\&#10;0.18x+0.4\left( \boxed{10-x} \right)=2&#10;\end{cases}&#10;\\\\\\&#10;0.18x-0.4x+4=2\implies -0.22x=-2&#10;\\\\\\&#10;x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
3 0
3 years ago
Calculate the probability of flipping a coin 20 times and getting 4 heads. Round your answer to the nearest ten thousandth.
lorasvet [3.4K]

Answer:

0.0046

Step-by-step explanation:

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Vinvika [58]
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3 0
3 years ago
Which of the following hace a value equal to |37|? Select all that apply
daser333 [38]
B, D, and E
The absolute value of -37 is 37.
The absolute value of 37 is also 37.
When you distribute the negative in the parenthesis the -37 becomes positive.
3 0
3 years ago
100 POINTS. ASAP. PLS HELP!
IgorC [24]

Answer:

12.81%

Step-by-step explanation:

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20500/16=1281.25

1281.25/100= 12.8125

rounded 12.81%

7 0
3 years ago
Read 2 more answers
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