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Luda [366]
3 years ago
5

-4/7 + 2/7x -14x + 4/7

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

-4/7+4/7=0

2/7x-14x= 13 5/7x

Answer =13 5/7x

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A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is
Law Incorporation [45]

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

7 0
2 years ago
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 75% syrup?
Julli [10]

Answer:

He needs 3.75 lbs of sugar and 1.25 lbs of water.

Step-by-step explanation:

Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.

Note

5 lbs - 100%

x lbs - 75%

Write a proportion:

\dfrac{5}{x}=\dfrac{100}{75}

Cross multiply:

100x=5\cdot 75\\ \\100x=375\\ \\x=\dfrac{375}{100}=3.75

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.

7 0
2 years ago
Please say what the answer is and show the steps
kolbaska11 [484]
This doesn’t make any sense
6 0
2 years ago
Read 2 more answers
Need help on this, if it’s right I’ll make it brainliest
Andrews [41]

Answer:

(0,2)/(4,5)

Step-by-step explanation:

Im Pretty Sure That's Correct.

8 0
3 years ago
Hey PLEASE HELP DUE TODAY
nadya68 [22]
What the maning of that ?
4 0
3 years ago
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