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kramer
3 years ago
12

Ms. Diaz has 3 5/6 pounds of grapes.

Mathematics
1 answer:
Lana71 [14]3 years ago
5 0

Answer:

3 5/6 pounds = 23/6 pounds

1 2/6 pounds = 8/6 pounds

23/6 - 8/6 pounds = 15/6 pounds. 15/6 = 5/2 pounds

Ms. Diaz was left with 2 1/2 pounds of grapes

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Tim and Cynthia leave Cynthia's house at the same time. Tim drives north and Cynthia drives west. Tim's average speed is 10 mph
RSB [31]

Answer:

  54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

  70² = c² +(c -10)²

  4900 = 2c² -20c +100 . . . . eliminate parentheses

  c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form

  (c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form

  c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

  c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

6 0
2 years ago
A university's freshman class has 6200 students. 4836 of those students are majoring
WINSTONCH [101]

According to the solving 78% of the freshman class are Economics majors.

<h3>What does a percentage mean?</h3>

percentage, a relative figure signifying hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

<h3>Why is it called percent?</h3>

The word "percent" comes from the Latin adverb per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Later, it was shortened to % with a final period.

<h3>According to the given data:</h3>

It is given that the total number of students in freshman class = 6200

Total number of students majoring in Economics = 4836

Here, we are asked to find the percentage of the freshman class who are majoring in Economics.

Percent of students majoring Economics =  (Number of students majoring/ Economics  Total number of students) x 100

= \frac{4836}{6200} x 100

= 78%

According to the solving 78% of the freshman class are Economics majors.

To know more about Percentage visit:

brainly.com/question/14979505

#SPJ9

4 0
11 months ago
If the simple interest rate is 5%p.a. , how long does it take for the amount to become twice the principal
solong [7]
A = P + I
2a = a + PTR/100
2a = a + 5aT/100
2a = a(1+T/20)
2=1+T/20
T=20 yrs

3 0
3 years ago
Giovanna has a score of
12345 [234]

Answer:'

-9.7 minus, in 13

Step-by-step explanation:

7 0
2 years ago
7-11<br> Show work <br> Explain work
GREYUIT [131]
27 = forty five to the secmventh
4 0
3 years ago
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