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tigry1 [53]
3 years ago
14

Express each ratio as a fraction in the simplest form. 1) 8 cups to 36 cups

Mathematics
2 answers:
puteri [66]3 years ago
6 0

Answer:

1:4 as the new ratio or fraction

Step-by-step explanation:

just divide them by 8

Mashutka [201]3 years ago
6 0

Answer: 2:9

Step-by-step explanation: the only thing to do is divide to it's lowest terms

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Solve each system using a matrix<br> 7x+2y=5<br> 13x+14y=-1
Svetach [21]

Solve each system using a matrix

7x+2y=5

13x+14y=-1Solve each system using a matrix

7x+2y=5

13x+14y=-1

7 0
3 years ago
Read 2 more answers
In ΔQRS, the measure of ∠S=90°, the measure of ∠R=29°, and SQ = 5.8 feet. Find the length of RS to the nearest tenth of a foot.
taurus [48]

Answer:

10.5 ft

Step-by-step explanation:

In ΔQRS,

  • m∠S=90°
  • m∠R=29°,
  • SQ = 5.8 feet.

See the diagram below.

The triangle is a Right Triangle,

Using trigonometric ratios,

Tan R=\dfrac{|SQ|}{|RS|} \\Tan 29^\circ=\dfrac{5.8}{|RS|}\\$Cross multiply$\\|RS|XTan 29^\circ=5.8\\|RS|=\dfrac{5.8}{Tan 29^\circ}\\$=10.5 ft (to the nearest tenth of a foot)

7 0
3 years ago
What value is added to both sides of the equation x2 − 8x = −10 in order to solve by completing the square?−816−44?
Artyom0805 [142]
Do you see -8x?

Take half of -8 and square it.

So, (-8)/2 = -4.

(-4)^2 = 16

Now add 16 to both sides.
6 0
3 years ago
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70% of voters in a certain state support an increase in the minimum wage. A researcher believe that the percentage of fast food
Artist 52 [7]
<h2><u>Answer with explanation:</u></h2>

Let p be the proportion of voters in a certain state support an increase in the minimum wage.

As per given , we have

H_0: p =0.70\\\\ H_a: p >0.70

Since alternative hypothesis is right-tailed so the test is a right-tailed test.

Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

, where n= sample size.

p= population proportion.

\hat{p} = sample proportion.

. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.

i.e. n= 300 and \hat{p}=\dfrac{240}{300}=0.8

Then,

z=\dfrac{0.8-0.7}{\sqrt{\dfrac{0.7(1-0.7)}{300}}}\approx3.78

For significant level α = .05 , the critical z-value is

z_{0.05}=1.645

Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.

Conclusion : We have sufficient evidence o support researcher's claim that  that the percentage of fast food workers for support and increase is higher than 70%..

4 0
3 years ago
Find the exact value of x
mario62 [17]

Answer:

Step-by-step explanation:

Remark

By manipulating parts of right angle triangles, you get 15/x = x/6

Solution

x^2 = 90

x = sqrt(90)

x = sqrt(3*3 * 2 * 5)

x = 3*sqrt(10)

4 0
3 years ago
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