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3 years ago

Twenty-four is less than five-eighths of a number x

Mathematics

1 answer:

Yakvenalex [24]3 years ago

3 0

Answer:

x > 192/5

Step-by-step explanation:

Rewrite the question as an inequality:

24 < 5/8x

1) Multiply everything by the reciprocal of 5/8: (8/5)

192/5 < x

2) Rewrite inequality with variable on the left side:

x > 192/5

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To make 4.5 cups of fruity granola, the recipe calls for 1.5 cups of raisins, 1 cup of granola, and 2 cups of blueberries. If yo

Levart [38]

Answer:

you need 6 cups of raisins, 4 cups of granola and 8 cups of blueberries.

Step-by-step explanation:

Step 1: Find how much raisins are needed

For 4.5 cups of fruity granola, we need 1.5 cups of raisins

For 18 cups of fruity granola, we need y cups of raisins

4.5 : 1.5

18 : y

Cross multiply

4.5y = 1.5 x 18

y = 27/4.5

y = 6 cups of raisins

Step 2: Find how much granola is needed

For 4.5 cups of fruity granola, we need 1 cup of granola

For 18 cups of fruity granola, we need y cups of granola

4.5 : 1

18 : y

Cross multiply

4.5y = 18

y = 4 cups of granola

Step 3: Find how much blueberries are needed

For 4.5 cups of fruity granola, we need 2 cups of raisins

For 18 cups of fruity granola, we need y cups of blueberries

4.5 : 2

18 : y

Cross multiply

4.5y = 2 x 18

y = 36/4.5

y = 8 cups of blueberries

Therefore, in order to make 18 cups of fruity granola, you need 6 cups of raisins, 4 cups of granola and 8 cups of blueberries.

5 0

3 years ago

jack and maureen are opening an ice hotel. th e structure and furniture are made out of ice. they must determine the weight of s

Kitty [74]

A. volume of the stage in the banquet hall = 22 x 15 x 4 = 1,320 cubic foot.
weight of the stage in the banquet hall:
1 cubic foot weighs 62.4 pounds
1,320 cubic feet will weigh 1,320 x 62.4 = 82,368 pounds.

b. volume of each cylindrical pillar = pi * r^2 * h = pi * (1/2)^2 * 9 = pi * 1/4 * 9 = 7.069 cubic feet
weight of each cylindrical pillar:
1 cubic foot weighs 62.4 pounds
7.069 cubic feet will weigh 7.069 x 62.4 = 441 cubic feet.

4 0

3 years ago

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati

Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 263, \sigma = 14$

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

$Z = \frac{X - \mu}{\sigma}$

$0.675 = \frac{X - 263}{14}$

$X - 263 = 14*0.675$

$X = 272.45$

His jump was of 272.45 inches

7 0

3 years ago

Read 2 more answers

Solve (x-3)^2 = 5 HELP ASAP!!! Please!! :(

Bas_tet [7]

Answer:

Answer is option d 

Step-by-step explanation:

$given \: expression \: is \: {(x - 3)}^{2} = 5 \\ {x}^{2} - 6x + 9 = 5 \\ subtracting \: 5 \: on \: both \: sides \: we \: get \\ {x}^{2} - 6x + 4 = 0 \\ on \: solving \: the \: quadratic \: equation \: by \\ \: completing \: square \: method \\ {x}^{2} - 6x = - 4 \\ adding \: {3}^{2} on \: both \: sides \: w e\: get \\ {x}^{2} - 6x + {3}^{2} = {3}^{2} - 4 \\ {(x - 3)}^{2} = 5 \\ x - 3 + = \sqrt{5} \\ x = \sqrt{5 } + 3$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

5 0

3 years ago

Jaxson played a video game for 1/6 of an hour and hailey played for 1/3 of an hour who played a greater amount of time?

fiasKO [112]

There are 60 minutes in one hour
to find 1/6 of an hour, divide 60 by 6:
60/6=10
Jaxson played for 19 minutes
to find 1/3 of an hour, divide 60 by 3:
60/3=20
Hailey played for 20 minutes
20>10

Hailey played video games for 10 minutes longer than Jaxson

4 0

3 years ago