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2 years ago

Tamera earned an A on 5/8 of her spelling tests.Of those spelling tests,she earned a perfect score on 1/5 of them.

1 answer:

7 0

To answer this, you would read what is being asked very carefully and then represent it using math. The first question asks what fraction of her total spelling test did she earn a perfect score. Going back to the part of the sentence that talks about a perfect score you will see that it says she earned a perfect score on 1/5 of them(referring to the Number of tests she earned an A on). The fraction of tests she earned an a on was five eights. This means that 1/5 of the 5/8 is how many she scored perfect on. Adding to that, 1/5 of the 5/8 of all 32 tests she took she scored a perfect score on. In math this is represented by 1/5 x 5/8 x 32. Cross cancel the 5s and make 32 a 4 and the 8 a 1, and then multiply all numerators across the top and all denominators across the bottom to get 4/1, or 4 perfect scores.

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The volume of a cylinder is given by the formula mc023-1.jpg, where r is the radius of the cylinder and h is the height. Suppose

Simora [160]

Volume of a cylinder = π r² h

Given:
radius = (x+8)
height (2x + 3)

Volume of a cylinder = π * (x+8)² * (2x + 3)

V = π * (x+8)(x+8) * (2x+3)
V = π * (x² + 8x + 8x + 64) * (2x + 3)
V = π * (x² + 16x + 64) * (2x + 3)
V = π * (2x³ + 32x² + 128x + 3x² + 48x + 192)
V = π * (2x³ + 32x² + 3x² + 128x + 48x + 192)
V = π * (2x³ + 35x² + 176x + 192)

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2 years ago

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a followed by

Eddi Din [679]

The ABC sequence of points is clockwise in both figures, so there will be an even number of reflections or a rotation.

Rotation 90° clockwise about the point (-3, -3) would make the required transformation, but that is not an option. An equivalent is ...
• reflection across the line x = -3
• reflection across the line y = x

5 0

2 years ago

Read 2 more answers

Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cos

anzhelika [568]

Answer:

14t + 58 ≤ 150

Step-by-step explanation:

If she cannot spend more than what she has, which is 150, the inequality sign has to be "less than or equal to". It's ok if she spends less than 150, but not ok if she spends more, because she doesn't have it to spend.

We know the cost of 1 pair of jeans is 58. Now she wants to make up the difference by getting as many $14 shirts as possible (the number of shirts being our unknown).

That means that the cost of the jeans PLUS the unknown number of shirts cannot exceed 150.

Therefore, the inequality is:

14t + 58 ≤ 150

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2 years ago

Landon babysits and works part time at tge water park over the summer. onw week, he babysat for 3 hours and worked at the water

Tems11 [23]

B = hourly rate for babysitting and w = hourly rate for working at water park

3b + 10w = 109...multiply by -8
8b + 12w = 177...multiply by 3
----------------------
-24b - 80w = - 872 (result of multiplying by -8)
24b + 36w = 531 (result of multiplying by 3)
---------------------add
- 44w = - 341
w = -341/-44
w = 7.75 <=== hourly rate for working at water park

3b + 10w = 109
3b + 10(7.75) = 109
3b + 77.50 = 109
3b = 109 - 77.50
3b = 31.50
b = 31.50/3
b = 10.50 <== hourly rate for babysitting

8 0

2 years ago

Read 2 more answers

Mary measures the weights of five newly hatched pythons in ounces. John converts Mary’s measurements to grams. There are 28.35 g

almond37 [142]

John first needs to convert these weights in oz to weight in grams by using the conversion weight given

python 1 = 1.13oz = 1.13*28.35 = 32.04 grams

python 2 = 1.02oz = 1.02*28.35 = 28.92 grams

python 3= 1.23oz = 1.23*28.35 = 34.87 grams

python 4 = 1.06oz = 1.06*28.35 = 30.05 grams

python 5 = 1.16oz = 1.16*28.35 = 32.89 grams

Mean of John's weights = sum of all weights/ number of observations = (32.04+28.92+34.87+30.05+32.89)/5 = 31.75 grams

Standard deviation

Step1: Subtract the mean from each observation and take the square

These values are : (32.04-31.75)^2 , (28.92-31.75)^2 , (34.87-31.75)^2 , (30.05-31.75)^2, (32.89-31.75)^2

These values are: 0.0841 , 8.0089, 9.7344, 2.89, 1.2996

Step 2: Sum them and divide by number of observations

This would be =(0.0841+8.0089+9.7344+2.89+1.2996)/5 = 4.4034

Step 3: Take the square root of result in step 2 to get final answer

Std. deviation = $\sqrt{4.4034}$

Std. deviation = 2.098

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2 years ago