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Paul [167]
2 years ago
12

What is a possible step when solving for x? Select all that apply.

Mathematics
1 answer:
amm18122 years ago
7 0

Answer:

b

Step-by-step explanation:

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Write a multiplication equation that has a solution of 12. Use tape diagrams to prove that your equation has a solution of 12.
natima [27]

Answer:

The required equation is 3y=36 and the tape diagram is shown below.

Step-by-step explanation:

Consider the provided information.

We need to write a multiplication equation that has a solution of 12.

3y=36

We know we have to split 36 into three equal groups, so we have to divide by 3 to show this algebraically.

3y÷3=36÷3

y=12

Now check this with the help of tape diagram as shown.

Consider the figure 1.

This represents if 36 had to be split into three groups, how big would each group be?

By the tape diagram we concluded that the value of y is 12.

5 0
3 years ago
200 3. A technician charges $25 per hour plus $50 for a house call to repair home computers. Make a table and a graph to show th
Tju [1.3M]

Recall that for a home visit, the technician charges $50 regardless on the time spent in the repair.

So, to find out the rate, we should calculate the part that depends on the spent time, and the add 50. So for example, we know that the technician spents 1 hour. So, we multiply 1 times 25 and then add 50. So, 25*1 + 50 = 75, which is the rate for a 1-hour repair.

So, in general, if we know that the number of hours is x, we multiply x times 25 and then add 50. Then a table would like this:

x 25*x 25*x +50

1 25 75

2 50 100

3 75 125

4 100 150

Note that as the time increases by one hour, the fare increases by 25. This is an example of a direct variation, since as the independent variable increases (t

6 0
10 months ago
The parabola with equation $y=ax^2+bx+c$ is graphed below:
Mashutka [201]

Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

Solve for a. Subtract within the parentheses:

12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

a=4

Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0
3 years ago
Read 2 more answers
The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate was three times the age of th
sweet-ann [11.9K]
China plate is 12 years (16-4) and Glass plate is 4 years (12÷3)
8 0
2 years ago
When Shawn cleaned his room he found that the ratio of clean clothes to dirty clothes was 3 to 5 if 46 articles of clothing were
emmainna [20.7K]

Answer:

17.25

Step-by-step explanation:

Ratio of clean clothes to dirty clothes = 3 : 5

Clean clothes = 3

Dirty clothes = 5

Total ratio = 3 + 5 = 8

Total clothing article = 46

how many were clean

Number of clean clothes = ratio of clean clothes / total ratio × total clothing article

= 3/8 × 46

= 0.375 × 46

= 17.25

8 0
2 years ago
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