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Aleksandr-060686 [28]
3 years ago
11

5m - 8 > 12 solve each problem showing your steps

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

m > 4

Step-by-step explanation:

5m - 8 > 12

Add 8 to each side

5m - 8+8 > 12+8

5m > 20

Divide by 5

5m/5 > 20/5

m > 4

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7 0
2 years ago
The lengths of the sides of a triangle are 4,5 and 6 if the length of the longest side of a similar triangle is 15,what is the l
prisoha [69]

Answer:

The length of the shortest side of the triangle is 10.

Step-by-step explanation:

Given that the lengths of the sides of a triangle are 4, 5 and 6, if the length of the longest side of a similar triangle is 15, to determine what is the length of the shortest side of the triangle, the following calculation must be performed :

6 = 15

4 = X

4 x 15/6 = X

10 = X

Therefore, the length of the shortest side of the triangle is 10.

8 0
3 years ago
Last week, Jada ran 2 7/10 miles. This week, she plans to run 5 times as far as last week.
V125BC [204]

Answer:

13.5 miles or 27/5 miles

Step-by-step explanation:

2 7/10 is equal to 2.7  If she plans to run 5 times as much as last week, multiply 2.7 by 5.

2.7*5=13.5

5 0
3 years ago
Could 7.7 cm , 4.0 cm , 7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c,
Lyrx [107]

Answer:

With given side lengths a triangle <u>could not</u> be created.

Step-by-step explanation:

Given:

First side length = 7.7 cm

Second side length = 4.0 cm

Third side length = 1.7 cm

We need find whether this could be the side length of the triangle.

Solution:

Now we know that;

By Triangle In equality property which states that;

"Sum of the two side length of the triangle must be greater than third side."

It should fulfill all three conditions;

So we will find the same.

Condition 1:

First Side + Second Side > Third side

7.7+4.0>1.7\\\\11.7>1.7

Hence This condition is true.

Condition 2:

Second side + Third Side > First side

4.0+1.7>7.7\\\\5.7>7.7

Hence This condition is False.

Condition 3:

First side + Third Side > Second side

7.7+1.7>4.0\\\\9.4>4.0

Hence This condition is true.

Since One of the condition is false hence With given side lengths a triangle could not be created.

8 0
3 years ago
Read 2 more answers
Look at the function f(x) = −x + 5. Which of the following describes the domain and range of the function and its inverse?
ASHA 777 [7]

Answer:

The inverse is g(x)=-x+5.

Both f and g have domain and range all real numbers.

In interval notation that is (-\infty,\infty)

Step-by-step explanation:

f(x)=-x+5 is a linear function.

Since isn't f(x)=constant then it is diagonal so this means the range is all real numbers.

For any linear function, the domain will be all real numbers.  

So to find the inverse of y=-x+5, you interchange x and y and resolve for y.

y=-x+5

(interchange)

x=-y+5

(solve for y)

Subtract 5 on both sides:

x-5=-y

Multiplying both sides by -1:

-x+5=y

So the inverse is g(x)=-x+5. To find find the domain and range of the inverse function given you already did it for the original function, the sets are swapped.  The sets were the same here because they were both all real numbers.

6 0
2 years ago
Read 2 more answers
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