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dexar [7]
3 years ago
8

Jack is mixing red paint with blue paint to make purple paint. he adds 2/5 of a fluid ounce of red to 11/15 of a fluid ounce of

blue to make 1 2/15 fluid ounces of purple. how many fluid ounces of red paint will he need to make 5 fluid ounces of purple paint?
Mathematics
1 answer:
Sedaia [141]3 years ago
8 0

Answer:

Step-by-step explanation:

Change 2/5 to a decimal

2/5 = 0.4

Change 1 2/15 of a fluid ounce to a decimal.

1.133333

Set up your proportion.

0.4 / 1.133333 = x / 5               Cross multiply

0.4*5 = 1.133333*x

2 = 1.133333 x                         Divide by 1.1333333

2/1.33333 = x

x = 1.5 ounces.

He needs 1.5 ounces of red to make 5 ounces of purple.

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Why is volume of a cone is written in cubic units
frutty [35]

Answer:

The formula for the volume of a cone is 1/3 Bh. This means 1/3 the Area of the base times the height. You can calculate the area by multiply length and width. Area is two-dimensional. Multiplying height by it adds another dimension. When writing area, we say units squared. When writing volume, we say units cubed, because it is three dimensional.

Step-by-step explanation:

6 0
3 years ago
Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?
vekshin1

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt.  Here,

i = ($1,450)(0.04)(2 yr) = $116

3 0
3 years ago
How many times greater is the value of 3 in 300 than the value of the 3 in 30
Vikki [24]
Well it sounds like you mean smaller, not greater. 3/300 = 1/100 while 3/30 = 1/10. So 3 out of 300 is 10 times SMALLER than 3 out of 30. 

3 0
3 years ago
Read 2 more answers
On monday maggie ran n miles, on tuesday she ran 90% of the number of miles that she ran on monday. on wednesday she ran 50% of
Andrew [12]

Step-by-step explanation:

On Monday maggie ran n miles.

On Tuesday, she she ran 90% of the number of miles that she ran on Monday i.e \dfrac{90}{100}\times n=0.9n.

On Wednesday, she ran 50% of the number of miles that she ran on Tuesday i.e. \dfrac{50}{100}\times 0.9n=0.45n

First expression : n+0.9n = 1.9 n

Second expression : n + 0.9 n + 0.45 n = 2.35 n

Hence, this is the required solution.

3 0
3 years ago
Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed
vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 11-1 = 10.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have T = 1.812

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{4}{\sqrt{11}} = 1.2060

Now, we multiply T and s

M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

L = 97 + 2.19 = 99.19 = 99.2cm

So

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0
3 years ago
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