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ANTONII [103]
2 years ago
6

Solve for y.18y -6 = -30

Mathematics
1 answer:
Marianna [84]2 years ago
4 0
18y-6 = -30
     +6     +6

18y= -24
( divide by 18)
y= -24/18 which can simplify to -4/3
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Given a rectangle with an area of 20 square units, if the width is x units and the length is x + 1 units, what is the difference
ollegr [7]

Answer: 1unit.

Step-by-step explanation:

Area of the rectangle

A = length × width

Since the area = 20 and the width is x and the length is x + 1.

We now substitute for the values in the above formula and solve for x

20 = x × x + 1

20 = x( x + 1 ), we now open

20 = x² + x , then re arrange.

x² + x - 20 = 0, this is a quadratic equation.we solve for x using quadratic means

Here, I am going to solve using factorization by grouping

x² + x - 20 = 0

x² + 5x - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ). = 0

Therefore, the solution for x will be

x = -5 or 4, but x can not be -5 ( negative), so x = 4.

Now the difference between width and the length can easily be calculated from the above,

Width = 4 (x) , and length = 5 (4 + 1),

Now difference will be

5 - 4 = 1unit.

5 0
3 years ago
Darlene has 59 pages to type. so far she gas type 23 pages. what fraction of the job is finished ​
coldgirl [10]

Answer:

\frac{23}{59}

Step-by-step explanation:

A fraction can be found be taking the current amount over the total amount:

\frac{current}{total}=\frac{23}{59}

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4 0
3 years ago
A store is having a sale on liquid soap and sponges. The cost of 6 bottles of soap is $9.12. The cost of 4 sponges is $5.00 what
Alenkinab [10]

Answer:

$6.79

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We need to find the cost of a bottle of soap.  We divide the cost by the number of bottles

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$5.00/4 = $1.25 per sponge

We want to find the total cost of 2 bottles of soap and 3 sponges

cost = 2 * 1.52 + 3 * 1.25

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7 0
3 years ago
Which construction was completed in the diagram below?
KIM [24]

Answer:

A) angle bisector

Step-by-step explanation:

The ray drawn theough angle BOA creates 2 congruent angles.

5 0
2 years ago
Evaluate 5x – 2y + (7x – y) for x = 7 and y = –2
Lynna [10]

Answer:

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Step-by-step explanation:

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84 +6

90

6 0
2 years ago
Read 2 more answers
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