1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
densk [106]
2 years ago
6

Evelyn wants to enlarge a 5” x 7” photograph. She plans to enlarge it to fit a frame that is 16” x 20”. Will Evelyn’s photo reta

in the same proportions? Explain your reasoning.
Mathematics
1 answer:
nordsb [41]2 years ago
8 0

Evelyn’s photo will not retain the same proportions.

<h3>What is the Scale of enlargement?</h3>

When we talk of scale of enlargement, we are simply referring to a transformation where we dilate the object by a scale factor. What this means is that all dimensions of the new object must have the same scale with corresponding dimensions of initial object.

Now, when we enlarge a 5” x 7” photograph to fit into a frame of 16” x 20”, then both corresponding sides must have same ratio or scale of enlargement.

Let us check the scales of enlargement;

16"/5" = 3.2 as scale factor

20/7 = 2.857 as scale factor

Thus, we can conclude that Evelyn’s photo will not retain the same proportions.

Read more about Scale of Enlargement at; brainly.com/question/3457976

#SPJ1

You might be interested in
Suppose that P(A) = 0.25 and P(B) = 0.40 . If P(A|B)=0.20 , what is P(B|A) ?
Ket [755]

Answer:

  • 0.32

Step-by-step explanation:

<u>Use of formula:</u>

  • P(A and B) = P(A)*P(B|A) and
  • P(A and B) = P(B)*P(A|B)

<u>According to above and based on given:</u>

  • P(A)P(B|A) = P(B)P(A|B)
  • P(B|A) = P(A|B)*P(B)/P(A)
  • P(B|A) = 0.20*0.40/0.25 = 0.32
8 0
2 years ago
Evaluate the expression when a is -5 and y is 7<br> a-5y
Sonbull [250]

Answer:

The answer is -40

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • a = -5
  • y = 7
<h3><u>To </u><u>Find</u>;</h3>
  • a – 5y

Now,

a – 5y

(-5) – 5(7)

-5 – 35 = -40

Thus, The answer is -40

<u>-TheUnknownScientist</u><u> 72</u>

8 0
2 years ago
Read 2 more answers
13 If CDEF is a rhombus, find m FED.
Tatiana [17]

Answer:

36

Step-by-step explanation:

8x-20=5x+1

-5       -5

3x=-20+1

+20 +20

3x=21

3  3

x=7

8(7)-20

FED=36

8 0
2 years ago
David is filling out orders for an online business and gets paid $1 for each order he fills out plus bonus of 25 cents per order
svp [43]

Answer:

David will make $481 (he earns the bonus)

Explanation:

<em>If he makes $1 for each order and he filled out 385 orders, then why can't we say he made $385?</em>

Because of this statement rights here:

"...and gets paid $1 for each order he fills out plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20."

So we need to find out if any of the 3 weeks has an average of 20+ orders per day.

<h2>David is filling out orders for an online business and gets paid $1 for each order he fills out</h2>

(x is the amount of orders he fills out)

profit = $1x

<h2>plus bonus of 25 cents per order if the average number of orders he completes per day within any of the given weeks exceeds 20. </h2>

if any average orders per day is > 20 in any week

bonus profit = $1.25x

<h2>The ratio of the number of orders he processed during the first week to the number of orders he processed during the second week is 3:2, </h2>

first week     second week

             3a : 2a

<h2>while the the ratio that compares the number of orders he filled out during the first and the third weeks is 4 to 5 respectively. </h2>

first week   third week

           4a : 5a

<h2>What amount of money will David make at the end of three weeks if the total number of orders he filled out was 385?</h2>

sum of all ratios of a = 385

So we have

3a : <u>2a</u> (first week to <u>second week</u>)

4a : <em>5a </em>(first week to <em>third week</em>)

Notice how the first two numbers are both from the first week. Let's use the Least Common Multiple to make them equal while still keeping ratios.

LCM of 3 and 4: 12 = 3 * 4

12a : <u>8a</u> ( times 4 )

12a : <em>15a</em> ( times 3 )

Now that we have the same value, we can create a big ratio

first week <u>second week</u> <em>third week</em>

   12a     :        <u>8a</u>          :      <em>15a</em>

we know that these ratios will all equal 385. Since ratios are equal no matter how big we make them, we can say that

12a + <u>8</u>a + <em>15</em>a = 385 (a is a variable to scale up the ratio)

which is the same as

(12 + <u>8</u> + <em>15</em>) * a = 385

(<em><u>35</u></em>) * a = 385

35a = 385

if we solve for a by dividing 35 on both sides we get

a = 11

This gives us how much to multiply the RATIO by to get the ACTUAL NUMBER of orders completed. Let's plug 11 for 'a' and see what happens.

12a + <u>8</u>a + <em>15</em>a = 385

12(11) + <u>8</u>(11) + <em>15</em>(11) = 385

132 + <u>88</u> + <em>165</em> = 385     (Check that out, the number of orders each week!)

<u>220</u> + <em>165</em> = 385

<em><u>385</u></em> = 385

Bingo! All the math works out. So, looking back at the verryyy top of this problem, the reason why it wasn't as easy as $385 was because of the bonus.

The bonus gives David $1.25 per order instead of $1 per order if any of the weeks have an average ORDER PER DAY of anything bigger than 20. If we know the real numbers of orders for every week (132, <u>88</u>, and <em>165</em>), then we can divide it by 7 to get the average order per day. Let's choose <em>165 </em>(the <em>third week</em>) because it is the biggest and has the greatest chance of meeting our goal.

165 orders / 7 days (7 days in a week) = 23.57 orders per day

Is this greater than 20 orders per day?

YES!

So now we can safely say that the bonus is there or not, and in this case, the bonus IS there because there is a week where David had more than 20 orders per day.

So instead of using

profit = $1x

We will use

bonus profit = $1.25x

(x is the amount of orders completed)

So if we know he completed 385 orders, and we know he earned the bonus, we plug in 385 for x for the bonus function

bonus profit = $1.25x

bonus profit = $1.25 * 385

bonus profit = $481.25

If necessary, round your answer to the nearest dollar.

So for the very end, all we have to do is round it to the nearest dollar.

$481.25 rounds to $481.

And we're done!

8 0
3 years ago
PLS HELP WILL GIVE BRAINLIEST
frozen [14]

Answer:

  1. 3.5
  2. 2
  3. B
  4. A

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

3 0
2 years ago
Other questions:
  • 4.8 minus 6.9 equals 3.18
    6·2 answers
  • Verify by direct substitution that the given power series is a solution of the indicated differential equation. [Hint: For a pow
    9·1 answer
  • One angle of a triangle has a measure of 36°. The measure of the third angle is 28° less than 3 times the measure of the second
    10·1 answer
  • 24 students in Jamall's class wearing tennis shoes there are 30 students in his class Jamall says that 70% of his class is weari
    15·2 answers
  • Grace has a net spendable income of $1,700 per month. She decides to check her expenses for the previous month and adjust her bu
    11·2 answers
  • State the Domain &amp; the Range.<br> g(x) = |x – 1| + 2<br> Domain:<br> Range:
    12·1 answer
  • What is the least common multiple of 2, 6, 8, and 12?
    9·2 answers
  • Which expressions are equivalent to 4^-2 times 7^-2
    15·1 answer
  • Help me help help help help help
    5·2 answers
  • Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!