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ser-zykov [4K]
3 years ago
14

The weather reporter said it had rained 3/10" on Monday, twice as much on Tuesday than Monday, 1/4" on Wednesday, 1/2" on Thursd

ay and 2/5" on Friday. What was the total rainfall for the Monday through Friday time period?
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0
The answer would be 2 1/20

M- 3/10
T- 6/10 (3/10 times two)
W- 1/4
Th- 1/2
F- 2/5

To add these together, first you need to simplify:

-6/10+ 3/10 is simple because it has the same denominator (10). It would be 9/10.
-1/2 = 2/4, so 1/4+2/4= 3/4

So now we are left with 9/10+ 3/4+ 2/5

Write out all numerators above the least common denominator of 20.

18+15+8/20 = 41/20

20 goes into 41 twice with a remember of 1. So your simplified version would be 2 1/20.




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How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16%
Naily [24]

1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

For given question,

Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,

Thus,

Quantity of glycerin in 12 liters + Quantity of glycerin in x

= Quantity of glycerin in resultant mixture.

⇒ 8% of 12 + 100% of x = 16% of (12 + x )

⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )

⇒ 0.96 + x = 0.16 × 12 + 0.16x

⇒ 0.96 + x = 1.92 + 0.16x

⇒ x - 0.16x = 1.92 - 0.96

⇒ 0.84x = 0.96

⇒ x = 1.143 liters

Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

Learn more about the resulting solution here:

brainly.com/question/12051765

#SPJ4

7 0
2 years ago
One over two - one over six simplified​
Bumek [7]

Answer: 1/3

Step-by-step explanation:

1/ 2 − 1 /6 = 1 /2 − 1 /6 = 1 /2 +  −1 /6 = 3 /6 +  −1 /6 =

3+−1 /6 = 2 /6 = 1 /3

(Decimal: 0.333333)

4 0
3 years ago
The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.
quester [9]

Answer:  ar^{n-1}=54(\dfrac{1}{3})^{n-1}

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

a_n=ar^{n-1}    (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term=\dfrac{2}{3}   (2)

Put n=5 and a= 54 in (1), we get

a_5=(54)r^{4}=     (3)

From (2) and (3), we have

\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}

Explicit form for the geometric sequence: ar^{n-1}=54(\dfrac{1}{3})^{n-1}

3 0
4 years ago
Triangle ABC is congruent to triangle DEF .
lora16 [44]

AB=DE is a true statement

8 0
4 years ago
Read 2 more answers
What is the slope of a line perpendicular to the line whose equation is 10x + 6у –84. Fully simplify your answer.​
mixer [17]

Answer:

The slope is 3/5.

Step-by-step explanation:

I am assuming you mean

10x + 6y = 84

6y = -10x + 84

y = -5/3 x + 14.

So the slope of this line is -5/3 and the slope of a line perpendicular to it is

-1 / -5/3 = 3/5.

5 0
3 years ago
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