Ask question

Ask question

All categories

4 years ago

14

99 POINTS AND BRAINLIEST! PLEASE EXPLAIN. Raphael saw a square patio that was 12-feet long on each side. He wants to build a pat

io that will be 15-feet long on each side. The change in the scale factor is: A) 1/15 B) 3/5 C) 4/5 D) 5/4 The change of scale means that 1 inch represented 4 feet, but now 1 inch represents feet: A) 5 B) 10 C) 12 D) 15

2 answers:

jonny [76]4 years ago

5 0

Answer:

5/4 5 ft

Step-by-step explanation:

We are going from 12 to 15

We need to multiply by

15 = k *12

Divide each side by 12

15/12 = k

5/4 = k

The scale factor is 5/4

1 in = 4 ft

Multiply the 4 ft by the scale factor

1 in = 4 * 5/4 = 5 ft

1 in = 5 ft

Sliva [168]4 years ago

5 0

Answer:

Raphael saw a square patio that was 12-feet long on each side. He wants to build a patio that will be 15-feet long on each side.

The change in the scale factor is

✔ 4/5

.

The change of scale means that 1 inch represented 4 feet, but now 1 inch represents

✔ 5

feet.

You might be interested in

What does expression L + W + L + W represent

Arisa [49]

I'm guessing it represents the perimeter.

8 0

3 years ago

Read 2 more answers

Scores on a test have a mean of 78.2 and 8 percent of the scores are above 89. The scores have a distribution that is approximat

anyanavicka [17]

Answer:

The standard deviation is 7.7

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 78.2$

8 percent of the scores are above 89

This means that X = 89 has a pvalue of 1 - 0.08 = 0.92. So when Z = 89, Z = 1.405.

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

$1.405 = \frac{89 - 78.2}{\sigma}$

$1.405\sigma = 10.8$

$\sigma = \frac{10.8}{1.405}$

$\sigma = 7.7$

The standard deviation is 7.7

5 0

3 years ago

There are some people in a cinema.

Elan Coil [88]

Answer:

$Adults = 510$

Step-by-step explanation:

Given

$Children = \frac{3}{5}$

$Girls:Boys = 2 : 7$

$Girls = 170$

Required

Determine the number of adults

First, we need to calculate the number of children

$Girls:Boys = 2 : 7$

Given that: $Girls = 170$

Substitute 170 for Girls in $Girls:Boys = 2 : 7$

$170 : Boys = 2 : 7$

Convert to fraction

$\frac{170}{Boys} = \frac{2}{7}$

Cross Multiply

$Boys * 2 = 170 * 7$

Divide both sides by 2

$Boys = \frac{170 * 7}{2}$

$Boys = \frac{1190}{2}$

$Boys = 595$

So, the number of children are:

$Children = Boys + Girls$

$Children = 595 + 170$

$Children = 765$

Next, we calculate the number of people in the cinema.

$Children = \frac{3}{5} * People$

Substitute 765 for Children

$765 = \frac{3}{5} * People$

Make People the subject.

$People = \frac{765 * 5}{3}$

$People = \frac{3825}{3}$

$People = 1275$

If 3/5 are children, then 2/5 are adults.

So:

$Adults = \frac{2}{5} * 1275$

$Adults = \frac{2* 1275}{5}$

$Adults = \frac{2550}{5}$

$Adults = 510$

7 0

3 years ago

Please help:) Thank you!!!

Zarrin [17]

Where is everything?

6 0

3 years ago

Can you halp me pls it really hard pls pls pls help me

zysi [14]

Question 1: this is simple adding
do the fractions first 1/4 + 3/4 = 4/4 or 1
then the whole numbers 1+1+1=3 gallons

Question 2: do it the same as the first you can make 1 1/2 into a mixed number which is 3/2 and make 4 into 8/2 then subtract 8/2 - 5/2= 3/2 or 1 1/2

Question 3: make into mixed numbers 5/3+5/3= 10/3 or 3 1/3

6 0

4 years ago

Read 2 more answers