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Temka [501]
3 years ago
8

For what values of x is the following inequality true? 5/7 + x/7 >(underlined) 10. PLZ HELP!!! 12 points

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0
Hello! Thank you for your question! I will be most happy to help!

So here what we are going to do is solve for X.

Step 1: Simplify x/7

Equation at the end of step 1: 5/7 + x/7 - 10 > 0

Step 2: Simplify 5/7

Equation at the end of step 2:

5/7 + x/7 - 10 > 0

Step 3: Adding fractions which have a common denominator: 

3.1 Adding fractions which have a common denominator
<span>Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5 + x / 7 = x + 5 / 7

Equation at the end of step 3:

(x + 5) / 7 - 10 > 0

Step 4: Rewriting the whole as an Equivalent Fraction:

</span>4.1 Subtracting a whole from a fraction 
<span>
Rewrite the whole as a fraction using 7 as the denominator:
</span>
10 = 10 / 1 = 10 * 7 / 7

Equivalent fraction: <span>The fraction thus generated looks different but has the same value as the whole 

</span>Common denominator: <span>The equivalent fraction and the other fraction involved in the calculation share the same denominator
</span>
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions 

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x+5) - (10 * 7) / 7 = x - 65 / 7

Equation at the end of step 4:

x - 65 / 7 > 0

Step 5: 5.1 Multiply both sides by 7

Solve Basic Inequality:<span><span> 

5.2 </span>Add <span> 65 </span> to both sides
<span><span>
x > 65

Final answer: x > 65</span></span></span>
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Answer:

I forgot the name but I can show you how to do it lol

Step-by-step explanation:

x+5(-2)-1

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how I did the last one is there is a non-existent 0 with an equal sign like my teacher says  so we added 11 to both sides.

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The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its d
Vlad1618 [11]

Hey there! I'm happy to help!

Let's call the length and width L and W respectively.

L=2W+8

2W+2L=124

We plug our value of L into the second equation and solve for W.

2W+2(2W+8)=124

We undo the parentheses with the distributive property.

2W+4W+16=124

Combine like terms.

6W+16=124

Subtract 16 from both sides.

6W=108

Divide both sides by 6.

W=18

We plug this W value into the first equation to solve for L.

L=2(18)+8

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So, the length is 44 feet and the width is 18 feet.

Have a wonderful day! :D

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Answer:

Step-by-step explanation:

See the attached image

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Determine (a) the slope of the line parallel to the line whose slope is m=2 and (b) the slope of the line perpendicular to the l
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Answer:

(b) \displaystyle -\frac{1}{2} = m

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Step-by-step explanation:

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I am joyous to assist you anytime.

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