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Aneli [31]
2 years ago
9

:

Mathematics
1 answer:
Degger [83]2 years ago
3 0

Let x = pounds of $12 per pound coffee

then

20-x = pounds of $9 per pound coffee

.

12x + 9(20-x) = 10(20)

12x + 180 - 9x = 200

3x + 180 = 200

3x = 20

x = 20/3

x = 6 and 2/3 pounds of $12 per pound coffee

.

Amount of $9 per pound coffee:

20-x = 20-20/3 = 60/3 - 20/3 = 40/3

or

13 and 1/3 pounds of $9 per pound coffee

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Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
Artist 52 [7]

Answer:c

options A  and B

Step-by-step explanation:

the ratio between the lengths of the two legs of a 30-60-90 triangle

General ration of 30-6- 90 degrees triangle is

x : xsqrt(3) : 2x

When x=1 the ratio becomes 1 : 1 sqrt(3)

when x= 2sqrt(3) the ratio becomes

It becomes

Two sides of 30-60-90 triangle cannot be equal

so option c  and option D are not possible

sqrt(2) is also not possible  because we have sqrt(3) in general ratio

PLS MARK ME AS BRAINLIEST.

5 0
1 year ago
Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can
timurjin [86]

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

<h3>What is the equation for this situation?</h3>

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

Learn more about equation in:

brainly.com/question/10413253

#SPJ1

4 0
1 year ago
Place an operation sign between two of the digits to make the equation true
I am Lyosha [343]

An addition sign between 978 and 842 would make the equation true!

7 0
2 years ago
Please finish this equation and write the answer​
olga55 [171]

Given:

The equation is:

2540=\dfrac{22}{7}r^2(20)

To find:

The solution for the given equation.

Solution:

We have,

2540=\dfrac{22}{7}r^2(20)

It can be written as:

\dfrac{2540\times 7}{22\times 20}=r^2

\dfrac{17780}{440}=r^2

\dfrac{889}{22}=r^2

Taking square root on both sides, we get

\sqrt{\dfrac{889}{22}}=r               [Radius cannot be negative]

r=6.3568145

r\approx 6.36

Therefore, the value of r is about 6.36 cm.

7 0
2 years ago
The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p
VLD [36.1K]

Answer:

3.13

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

\chi^2_{1-\frac{\alpha}{2}}= 51.770

Chi square critical value for upper tail =

\chi^2_{\frac{\alpha}{2}}= 81.085

80% confidence interval:

\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}

Putting values, we get,

=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

8 0
3 years ago
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