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ivann1987 [24]
3 years ago
6

What is the justification for step 2 in the solution process?16-5x=1-4x; -5x=-4x-15; -x=-15

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

Answer:

Addition Property Of Equality

Step-by-step explanation:

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

Step 1: -5x = -4x -15

Step 2: -x = -15

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Write an algebraic expression for the phrase five less than the product of six and N
GenaCL600 [577]

Answer:

6N - 5

Step-by-step explanation:

five less than the product of six and N: <em>6N</em>

five less than the product of six and N: <em>6N </em><em>- 5</em>

Answer: 6N - 5

6 0
3 years ago
A builder wants to build the bridge whose cross section is shown in the diagram. Two companies offer simple bids on building the
leva [86]

The length of the bridge is the distance from the beginning to the end.

<em>The distance b between each beam is 9ft.</em>

Let:

<em />I \to<em> I-Beam</em>

<em />d_I \to<em> distance between I beam and the bridge</em>

<em />b \to<em> distance between each I beam</em>

<em />

Given that:

I = \frac 34 ft\\

d_I = 3 ft

<em />Length = 55ft\ 6in<em> --- length of the  bridge</em>

<em />

From the diagram (see attachment), there are: 6 I-beams.

So, the length of the 6 I-beams is:

L_1 = 6 \times I

L_1 = 6 \times \frac 34

L_1 = \frac {18}4

L_1 = 4.5ft

There are 2 I-beams beside the bridge

So, the distance between the 2 I-beams and the bridge is:

d_1 =2 \times d_I

d_1 =2 \times 3ft

d_1 =6ft

There are 5 spaces between the I-beams

So, the length of the total spaces is:

L_2 = 5 \times b

L_2 = 5b

The total length is:

Length = L_1 + d_1 + L_2

So, we have:

4.5ft + 6ft + 5b = 55ft\ 6in

Collect like terms

5b = 55ft\ 6in - 4.5ft - 6ft

5b = 44.5ft\ 6in

Convert inches to feet

5b = 44.5ft\ + \frac{6}{12}ft

5b = 44.5ft\ + 0.5ft

5b = 45ft

Divide both sides by 5

b = 9ft

<em>Hence, the distance (b) between each beam is 9ft.</em>

Read more about lengths at:

brainly.com/question/22059747

3 0
2 years ago
In June, Ryan sold twice as many newspaper subscriptions as George. In July, Ryan sold 5 fewer subscriptions than he did in June
ArbitrLikvidat [17]
:P kinda tricky The way you wrote it
8 0
2 years ago
Tanzila is selling tickets to the MS127 musical. On the first day of ticket sales she sold 2 adults tickets and 10 child tickets
vekshin1

Answer:

One adult ticket is $4 and one child ticket is $7

Step-by-step explanation:

Make a system of equations

2x + 10y = 78

8x + 5y = 67

Solve by elimination, multiply the 2nd equation by -2

2x +10y = 78

-16x -10y = -134

Add the equations

-14x = -56

x = 4

The price of one adult ticket is $4

Plug 4 in as x to find y

2(4) + 10y = 78

8 + 10y = 78

10y = 70

y = 7

The price of one child ticket is $7

4 0
2 years ago
Choose the correct correspondence.​
Alex

Answer:

B

Step-by-step explanation:

idk I think its correct

4 0
3 years ago
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