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Arlecino [84]
4 years ago
10

(Variables on both sides of an equation)

Mathematics
2 answers:
kompoz [17]4 years ago
7 0
Start by expanding the left side of the equation: -2(4x-7) is equal to -8x + 14.

This brings you to -8x+14 = -8x + 14.

Now add 8x to both sides. This brings you to 14 = 14

Now subtract 14 from both sides. This brings you to 0 = 0.

Thus your answer is 0 = 0, which is a true statement.

Hope this helps.
fiasKO [112]4 years ago
6 0
-8x + 14 = -2(4x - 7)
Open parenthesis and distribute
-8x + 14 = -8x + 14
Subtract both sides by 14
-8x = -8x
Subtract both sides by -8x
0=0
Thus, any value of x will satisfy the equation.
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mariarad [96]

Answer:

The cost of the  $0.5 per cookies and $1.25 per brownie.

Option (A) is correct.

Step-by-step explanation:

Let us assume that the cost of the cookies =x

Let us assume that the cost of the brownie = y

As given

Sara is selling cookies and brownies as a fundraiser for the school band.

She charges $2.25 for two cookies and one brownie.

Than the equation becomes

2x + y = 2.25

She charges $5.75 for four cookies and three brownies.

4x + 3y = 5.75

Than two equation are

2x + y = 2.25  and 4x + 3y = 5.75

Multiply 2x + y = 2.25  by 3 and subtracted from 4x + 3y = 5.75

4x - 6x + 3y - 3y = 5.75 - 6.75

-2x = - 1

2x = 1

x = \frac{1}{2}

x = $0.5

Put in the equation 2x + y = 2.25

2 × 0.5 + y = 2.25

1 + y = 2.25

y = 2.25 - 1

y = $1.25

Therefore the cost of the  $0.5 per cookies and $1.25 per brownie.

Option (A) is correct.



5 0
3 years ago
GIVING BRAINLIETS........
raketka [301]

Answer:

1. 175 cubic ft

2. 42 cubic m

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Step-by-step explanation:

The easiest way too solve this si to split the shapes up into two smaller shapes. For the first one split it into two rectangles, the long rectangle and the smaller rectangle down the bottom right. First we will do the smaller rectangle, multiply 7 by 2 and then multiply that by 5-3 (the bottom length minus the top length) and you get 28. 7(7x3) + 28. This equals 175. Because it is volume the answer is cubic. Repeat theses steps for the other 3 questions and that is how you solve it.

7 0
3 years ago
Kala found four pieces of wire in her tool drawer. Here are their lengths (in centimeters).
artcher [175]

Answer:

38.81

Step-by-step explanation:

Add the lengths, easiest way to do it is vertically

19.

01.01

08.5

10.3

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7 0
3 years ago
Andre is making paper cranes to decorate for a party. He plans to make one large paper crane and several small paper cranes. It
il63 [147K]

Andre can make 6 small paper cranes in 30 minutes.

Step-by-step explanation:

Given data-

Time taken by Andre to build small cranes- 3minutes

Time taken to build large crane- 10 minutes

Total time allotted to him= 30 min

His preferences- Building one large crane and several small cranes.

The Inequality equation is 3​c​ + 10 ≤ 30

Since his preference is to build atleast one large crane which takes 10 minutes, he is left with 30-10 = 20 minutes to build other small cranes.

For one crane he needs, 3 minutes

Hence, he can build 6 cranes in 18 minutes. Following this, he is left with  20-18= 2 minutes. Since he needs at least 3 min to build a small crane, he cannot build a small crane in the remaining 2 min.

he builds 6 small cranes in 30 minutes

<u>Alternatively,</u>

3​c​ + 10 ≤ 30

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3c ≤ 20

The maximum value of c for which this equation remains valid is 6.

Thus, he builds a total of 6 cranes (small) in 30 minutes.

5 0
3 years ago
The price of an electronic puzzle was reduced be $7
Nimfa-mama [501]

Answer:

Step-by-step explanation:

total price was reduced by $ 7

let x = the total price........ x - 7

he bought 10.....and it cost him $ 130

10(x - 7) = 130

10x - 70 = 130

10x = 130 + 70

10x = 200

x = 200/10

x = 20 <====== original price

7 0
3 years ago
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