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Nady [450]
2 years ago
14

There are 27 red or blue marbles in a bag. The number of red marbles is five less than three times the number of blue marbles. H

ow many red marbles are in the back how many blue marbles are in the bag
Mathematics
1 answer:
sveticcg [70]2 years ago
7 0

The number of red marbles in the bag is 19 and the number of blue marbles is 8.

<u>Explanation:</u>

Let R be the number of red marbles

Let B be the number of blue marbles

According to the question,

R + B = 27 (Total number of marbles is 27 )                 -1

R = 3B - 5 (Number of red marbles is 5 less than 3 times the number of blue marbles )

Substitute the right half of the second equation for R in the first equation

3B - 5 + B = 27

Add 5 to each side and combine the Bs

4B = 32

Divide both sides by 4

B = 8

Use this value of B in the first equation

R + 8 = 27

R = 19

Therefore, number of red marbles in the bag is 19 and the number of blue marbles is 8.

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What is the value expression to 3 1/4 - 1 7/8 =show how?
Andrei [34K]
3 1/4 - 1 7/8
First, subtract the whole numbers (3 - 1 = 2):           
= 2 1/4 - 7/8
Convert 1/4 to 2/8:
= 2 2/8 - 7/8
Borrow 1=8/8 from the 2:
= 1 10/8 - 7/8
Subtract 7/8 from 10/8:
= 1 3/8

The answer is 1 3/8

Alternatively, use improper fractions:
3 1/4 = 13/4 = 26/8
1 7/8 = 15/8
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3 0
3 years ago
40 36 32 28 what number comes next
Alex73 [517]

Answer:

24

Step-by-step explanation:

subract 4 each time

6 0
2 years ago
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be
ira [324]

The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.

From the Pythagoras theorem:

Perpendicular(P) = 32 ft

Base(B) = 20 ft

H = √(32²+20²)

H = √1424

H = 37.7 ft

Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

Learn more about Pythagoras' theorem here:

brainly.com/question/21511305

#SPJ1

5 0
1 year ago
Explain why please and make sure it is in full detail
Marysya12 [62]

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

8 0
2 years ago
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