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stellarik [79]
3 years ago
7

A radiator contains 8 quarts of fluid, 40% of which is antifreeze. How much fluid should be drained and replaced with pure antif

reeze so that the new mixture is 60% antifreeze? pls help i have an important test
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
8 0

Answer:

Step-by-step explanation:

<u><em>JeanaShupp   </em></u>                 <- he has                               the answer thank him

Ace                                                              

10.2K answers

87.3M people helped

Answer: 1.6 quarts

Step-by-step explanation:

Given : A radiator contains 8 quarts of fluid, 40% of which is antifreeze.

[40% can be written as 0.40.]

Then, the amount of antifreeze in radiator =                                                                                               (1)

If a radiator contains 8 quarts of fluid with 60% of which is antifreeze.

[60% can be written as 0.60.]

Then, the amount of antifreeze in radiator =                                                                                              (2)

Now subtract (1) from (2) we get,

The amount of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze :-

Hence, the 1.6 quarts of fluid should be drained  and replaced with pure antifreeze so that the new mixture is 60% antifreeze

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Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. L
HACTEHA [7]
Answer:

C. t=23,r=9 .

Step-by-step explanation:

Let r represent the cost of one packet of radish seeds and let t represent the cost of one packet of tomato seeds.

Roman spent $62.75

This implies that,

1.75r+2.5t=62.75...eqn1

Roman bought 32 packets of seeds and one packet of radish seeds costs
$ 1.75.
One packet of tomato seeds costs $ 2.50.

This implies that,

r+t=32...eqn2

Using guess and check means we substitute into the given equation.

A) We substitute t=8,r=24 into both equations.

1.75(8)+2.5(24)=62.75...eqn1

14+60\ne 62.75...eqn1

8+24=32...eqn2

Both equations are not satisfied.

B)

We substitute t=9,r=23 into both equations.

1.75(9)+2.5(23)=62.75...eqn1

15.75+57.5\ne 62.75...eqn1

9+23=32...eqn2

Both equations are not satisfied.

C)

We substitute t=23,r=9 into both equations.

1.75(23)+2.5(9)=62.75...eqn1

40.25+22.5 =62.75...eqn1

23+9=32...eqn2

Both equations are satisfied.

Hence the solution is,

t=23,r=9

D) We substitute t=24,r=8 into both equations.

1.75(24)+2.5(8)=62.75...eqn1

42+20\ne 62.75...eqn1

24+8=32...eqn2

Both equations are not satisfied.
4 0
3 years ago
Read 2 more answers
Helpppp ill mark u as brainlist​
ollegr [7]

Answer:

a and c

Step-by-step explanation:

5 0
3 years ago
One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s
siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

on substituting the given respective values, we get

S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}

or

S^{2}_{p} = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0
3 years ago
20 POINTS PLZ HELP!!!!!!!!!!!!!!!!!!!!
mars1129 [50]

Answer:

a = 15

Step-by-step explanation:

First, you have to combine like terms: 5a and 3a, -5, -15, 6, and 4.

You can do it in any order and you will always get a = 15 for your answer.

Hope this helps!!!

3 0
3 years ago
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What is 15/14 as a decimal
UkoKoshka [18]
Using a calculator to divide 15/14, it is 1.071428571. 
Depending on how many decimal places you want it rounded to, that would be 1.071.
7 0
3 years ago
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