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Andrews [41]
4 years ago
11

Chris is working on math homework. He solves the equation m/6=48 and says that the solution is m=8. Do you agree or disagree wit

h Chris? Use words and numbers to support your answer. If his answer is incorrect, find the correct answer. Thanks.
Mathematics
1 answer:
vredina [299]4 years ago
7 0

Chris is incorrect. To check the answer, replace m with 8 and simplify the left side. So m/6 turns into 8/6 which converts to the decimal value 1.333 (use a calculator)

Therefore the original equation m/6 = 48 becomes 1.333 = 48 after you plug in m = 8 and simplify fully. The two sides of 1.333 = 48 are not the same, so m = 8 is not the solution.

--------------------

The solution is actually 288 and we can prove it so like this

m/6 = 48

288/6 = 48 .... replace m with 288

48 = 48 .... use a calculator to compute 288/6

So the solution m = 288 is confirmed

------------------

How did I get this answer? By multiplying both sides by 6

m/6 = 48

6*(m/6) = 6*48 ..... multiply both sides by 6

m = 288

So Chris mistakenly divided both sides by 6, which explains how he got 48/6 = 8 as the solution. Instead he should have multiplied both sides by 6. This is to undo the operation "divide by 6" that is being applied to m in the original equation.

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Each child in the Martin family decided to save money for the family vacation.
irinina [24]

Answer:

The story is not clear enough to provide the answer

Step-by-step explanation:

First of all we do not know how many childen are in the Martin Family

20 \times 8

=$160

So depending on how each child sends and how many children will determine which kid will have most of the money left

5 0
2 years ago
Posting a screenshot.
Anna71 [15]
Since 6 is positive, it's (x+blank)^2

6/2=3, and (x+3)^2 = x^2+6x+9. We have x^2+6x-2, so we have to add 9 to both sides to get (x+3)^2-2=9, then subtract 9 from both sides to get
(x+3)^2-11=0, or (x+3)^2=11. Square root both sides to get x+3=sqrt(11), and x=sqrt(11)-3, which is approximately 0.32
8 0
3 years ago
Which set of steps will translate f(x)=6x to g(x)=6x-5-7
Maurinko [17]

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

7 0
3 years ago
What is the volume, in cubic ft, of a rectangular prism with a height of 13ft, a width of 15ft, and a length of 9ft?
Norma-Jean [14]

Answer:

1755 ft³

Step-by-step explanation:

Volume of a rectangular prism = base area x height

Base area = length x width

15 ft x 9 ft = 135 ft²

Volume =  135 ft² x 13 ft = 1755 ft³

5 0
3 years ago
Please help me :((( it’s geometry
NikAS [45]

\tt Step-by-step~explanation:

\tt Area:

To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.

\tt 10*7=70\\70/2=35\\35=A

\tt Perimeter:

\tt Step~1:

To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149

We cannot simplify √149, so we either leave it, or round it.

\tt \sqrt{149}\\12.2066

This is rounded to the nearest 10,000.

\tt Step~2:

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.

\tt 10+7+\sqrt{149}=17+\sqrt{149}=P\\Rounded~to~the~nearest~1,000th:~29.207=P

\large\boxed{\tt Our~final~answer: ~A=35,~P=17+\sqrt{149}}

5 0
3 years ago
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