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slava [35]
3 years ago
13

When the integer x is divided by 6, the remainder is 4. When x is divided by 8, the remainder is 0. Which of the following is a

possible value of x ?
•78
•94
•120
•136
Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer:

136

Step-by-step explanation:

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Ashwin helps paint a square mural in his classroom. Then he helps paint a mural in the hallway whose length is 7 feet longer and
Serhud [2]

Ashwin paints 2 murals:

  1. A square mural in his classroom
  2. A mural in the hallway with length 7 feet longer and width 3 feet shorter

Also, x indicates the side length of the mural in the classroom. Since the classroom mural is square in shape, the length and breadth of the mural would be x.

Part A: Expression to represents the two binomials to be multiplied to find the area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

So Length of the hallway mural = Length of the classroom mural + 7

⇒ Length of the hallway mural = x + 7

Breadth of the hallway mural = Breadth of the classroom mural - 3

⇒ Breadth of the hallway mural = x - 3

Hence, x + 7 and x - 3 need to be multiplied to determine the area of the mural

Part B: Area of the hallway mural

Area of the hallway mural = Length of the hallway mural × Breadth of the hallway mural

⇒ Area of the hallway mural = (x + 7) × (x-3)

⇒ Area of the hallway mural = x² + 7x - 3x - 21

⇒ Area of the hallway mural = x² + 4x - 21

Part C: Area of the hallway mural if each side of the classroom mural is 8 foot long

Putting the value x = 8 in the answer of Part B

⇒ Area of the hallway mural = 8² + 4×8 - 21

⇒ Area of the hallway mural = 64 + 4×8 - 21

⇒ Area of the hallway mural = 64 + 32 - 21

⇒ Area of the hallway mural = 75 square feet


3 0
3 years ago
Read 2 more answers
An umbrella costs $6. If Iris purchases 2 umbrellas, how much will these umbrellas cost? Solve an equation to find the answer.
Wewaii [24]

Answer: $12

Step-by-step explanation: $6 x 2 = $12

Hope this helps!

7 0
3 years ago
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What is the radius of a circle with a circumference measuring 24 pie cm?
Tpy6a [65]
By the way, it's pi, not pie. just wanted you to know as you may lose marks in tests for spelling (but i may be wrong)

we know circumference is pi multiplied by the diameter.
the diameter is 2x the radius
we can re-arrange the first fact to get:
diameter (or 2x radius) = circumference divided by pi.
since the circumference is 24pi we can cancel off pi from the circumference (24pi) and pi.
now we have the diameter = 24
since the diameter is 2x the radius you divide both sides by 2 and get:
radius=12cm
5 0
3 years ago
A music school offers its students 8 different classes each semester. 4 of the classes are in music theory, 3 of the classes are
Bond [772]

Answer:

5

Step-by-step explanation:

8 0
2 years ago
Please help me with this​
AfilCa [17]

Answer:

A. 4/5

Step-by-step explanation:

The red dot is on 0.8

0.8 as a fraction is 4/5

8 0
2 years ago
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