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Alla [95]
3 years ago
14

Simplify (4x − 6) − (5x + 1). (1 point)

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Answer:

-x -7

Step-by-step explanation:

(4x − 6) − (5x + 1)

Distribute the minus sign

(4x − 6) − 5x - 1

Combine like terms

4x-5x   -6-1

-x -7

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tatiyna
A parallelogram should have 2 sets of parallel lines. Let's find the slope of line PQ and RS to test.

PQ:
(4-2)/(1-(-3))
2/4
1/2

RS:
(2-0)/(3-1)
2/2
1

Because 1 does not equal 1/2 (the slopes are different) the lines are not parallel. Thus, the figure is not a parallelogram.
5 0
2 years ago
A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 20 candles today and makes $
Amanda [17]

The system of equations becomes:

s + u = 28 This represent the number of candles sold
16s + 10u = 400 This represents the value of the candles sold
5 0
2 years ago
Liza needs a total of 22.23 square feet of cloth to make a bag and a towel the bag requires 5.13 square feet of cloth the height
Troyanec [42]

Answer:

5.7 feet

Step-by-step explanation:

Total cloth area recquired to make a bag and a towel is 22.23 square feet

Given the area of the cloth recquired to make the bag is 5.13 square feet.

The area of cloth recquired to make the towel is = 22.23-5.13=17.1 square feet

given the height of the towel = 3 feet

let the length of the towel be x

We know that area = length\times height

area=3x

3x=17.1\\x=5.7

therefore the length of the towel is 5.7 feet

6 0
2 years ago
Answer each question below.
HACTEHA [7]

Answer:

\huge\boxed{\sf L = 78\°}

Step-by-step explanation:

<h3><u>Given that:</u></h3>

Exterior angle of L = 5x + 12

M = 3x - 2

N = 50

<h3><u>Statement:</u></h3>
  • Exterior angle is equal to the sum of non-adjacent interior angles.

So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.

Here,

Exterior angle of L = M + N

5x + 12 = 3x - 2 + 50

5x + 12 = 3x + 48

Subtract 12 to both sides

5x = 3x + 48 - 12

5x - 3x = 36

2x = 36

Divide 2 to both sides

x = 18

So,

<h3><u>Measure of angle M:</u></h3>

= 3x - 2

= 3 (18) - 2

= 54 - 2

= 52°

Now,

<h3><u>Measure of angle L:</u></h3>

<u>We know that,</u>

  • Sum of all the interior angles of triangle is 180 degrees.

L + M + N = 180°

L + 52 + 50 = 180

L + 102 = 180

Subtract 102 to both sides

L = 180 - 102

L = 78°

\rule[225]{225}{2}

7 0
2 years ago
What's 6 1/3 + 5 1/2 + 4 1/4=​
Art [367]

Answer:

16  1/12

Step-by-step explanation:

The LCD of 6 1/3 + 5 1/2 + 4 1/4 is 12; 12 is evenly divisible by 3, 2 and 4.

We can rewrite this expression as:

6 + 5 + 4 + 1/3 + 1/2 + 1/4, or

    15        +4/12 + 6/12 + 3/12, or

    15         + 13/12, or

     16  1/12

4 0
3 years ago
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