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Irina18 [472]
3 years ago
7

The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

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

you are looking for a unit rate (for 1 quart of red, how much white is used).

notice all red amounts are less than white, so b and c make no sense.

I look at the 4:20 and think, half of the paint would be 2:10, half of that is 1:5

(you could also start with 4:20 and divide each by 4 to get this answer)

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Trains Two trains, Train A and Train B. weigh a total of 196 tons. Train A is heavier than Train B. The
aleksklad [387]

Answer:

Train A = 128

Train B = 68

Step-by-step explanation:

We can set up a system of equations for this problem

Let A = # of tons of Train A

Let B = # of tons of Train B

A + B = 196

A = B + 60

Now, we plug in A for the first equation, using substitution

(B+60) + B = 196

2B + 60 = 196

Subtract 60 from both sides

2B = 136

Divide both sides by 2

B = 68

Plug in 68 for B in the 2nd equation

A = 68 + 60

A = 128

Checking work: 128 + 68 = 196 :D hope this helped

5 0
2 years ago
Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 a
krok68 [10]

Answer:

Jessie scored higher than Reagan.

Step-by-step explanation:

We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.

Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.

For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.

1. <u>Finding z-score for Reagan;</u>

Let X = distribution of SAT scores

SO, X ~ Normal(\mu=1000, \sigma^{2}=100^{2})

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 1000

            \sigma = standard deviation = 100

Now, Reagan scored 1140 on the SAT, that is;

       z-score  =  \frac{1140-1000}{100}  =  1.4

2. <u>Finding z-score for Jessie;</u>

Let X = distribution of ACT scores

SO, X ~ Normal(\mu=17, \sigma^{2}=5^{2})

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 17

            \sigma = standard deviation = 5

Now, Jessie scored 30 on the ACT, that is;

       z-score  =  \frac{30-17}{5}  =  2.6

This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.

6 0
3 years ago
Which number is equivalent to the fraction 15 over 7?
USPshnik [31]
15/7 is approximately 2.143
7 0
3 years ago
How to solve 6x+5x-4=2x-8
solniwko [45]
6x+5x-4=2x-8~~~First we simplify(add 6x and 5x)
11x-4=2x-8~~~Now add 4 to both sides
       +4      +4
11x=2x-4~~~~Remove 2x from both sides now.
-2x   -2x
9x=-4~~~~Now divide by 9x
÷9x ÷9x

x= -4/9

6 0
3 years ago
Read 2 more answers
Which inequality is equivalent to this one?
Tju [1.3M]

Answer:

D  y-8 +2 ≤ -2+2

Step-by-step explanation:

y-8 ≤ -2

Add 2 to each side

y-8 +2 ≤ -2+2

6 0
3 years ago
Read 2 more answers
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