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Vikentia [17]
4 years ago
12

2(x + 7) + 3x = 12 What is the first step in solving this equation for x?

Mathematics
2 answers:
yawa3891 [41]4 years ago
7 0
First step is expand by using distributive property
<span>2(x + 7) + 3x = 12 

step 1:
2x + 14 + 3x = 12</span>
ehidna [41]4 years ago
5 0
First step would be to expand it and make it 2x + 14 + 3x = 12

Second step would be to add 2x + 14 + 3x so it can be 5x + 14

Third step would be to subtract 14 from both sides

Fourth step would be to subtract 12 - 14 so it can be -2

Last step to get your answer would be to divide both sides by 5

Answer to this whole equation: x = -2/5.
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A box of fruit has four times more peaches than plums.
Ugo [173]

Answer:

The number of plums = 4

The number of peaches =  16

The number of nectarines =  1

Step-by-step explanation:

Let the number of peaches be = x

Let the number of nectarines be = y

Let the number of plums be = z

A box of fruit has four times more peaches than plums. This means that

The number of peaches = 4 X the number of plums.

i.e x = 4z

The box has 3 fewer nectarines than plums. This means that

Number of nectarines = number of plums - 3

i.e y = z - 3

If the box contains 21 pieces of fruit, this means that if we sum up all the peaches, nectarines, and plums in the box, we will get 21.

Peaches + Nectarines + Plums = 21

4z + z-3 + z = 21

6z =21 +3

z = 24/6

z = 4

Therefore, the number of plums = 4

The number of peaches = 4 X 4 = 16

The number of nectarines = 4 -3 = 1

7 0
3 years ago
-7.4r - 6.31 = 3.23 - 5.6r
nikdorinn [45]

Answer:

r=−5.3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7.4r−6.31=3.23−5.6r

−7.4r+−6.31=3.23+−5.6r

−7.4r−6.31=−5.6r+3.23

Step 2: Add 5.6r to both sides.

−7.4r−6.31+5.6r=−5.6r+3.23+5.6r

−1.8r−6.31=3.23

Step 3: Add 6.31 to both sides.

−1.8r−6.31+6.31=3.23+6.31

−1.8r=9.54

Step 4: Divide both sides by -1.8.

−1.8r/−1.8=9.54/−1.8

r=−5.3

4 0
3 years ago
Find the value of x.<br> 43°<br> X<br> x = [?]°
ZanzabumX [31]
The opposite sides are supplementary
43+x=180
X=137
5 0
3 years ago
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair. This situation can be de
frez [133]

Answer:

b = 40

Step-by-step explanation:

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.

This situation can be described by an equation of the form y=mx+b , where

x = the time in hours

y = the cost in dollars.

What is the value of b in this equation?

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair

Writing the above in an equation =

y = $70 × x + $40

y = 70x + 40

Therefore, the value of b in the expression = 40

3 0
3 years ago
What is 4/2 in metres.​
Harlamova29_29 [7]
The answer is 0.5 metres.
4/2 = 1/2
1/2 100cm is 50cm
50cm = 0.5 metres.
5 0
3 years ago
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