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Ivanshal [37]
2 years ago
12

Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFract

ion 5 over 8 EndFraction + p?
Mathematics
2 answers:
Flura [38]2 years ago
6 0

Answer:

the answer is c

Step-by-step explanation:

Lena [83]2 years ago
4 0

Answer:

The correct answer is p \geq  \frac{74}{80}

Step-by-step explanation:

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to (  ) or less than equal to (  ) signs. We solve the above given inequality to find the solutions of the unknown p. An inequality reverses if and only if we we multiply both sides with a negative quantity. Addition or subtraction does not change the sign in the inequality.

\frac{7}{10} \geq 1 + \frac{5}{8} + p\\\\\frac{7}{10} \geq \frac{13}{8} + p\\\\\frac{7}{10} - \frac{13}{8} \geq p\\\\\frac{-74}{80} \geq p\\p \leq \frac{-74}{80} \\p\geq \frac{74}{80}

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31. Algebra Fill in the reason that justifies each step.
Anna11 [10]

Answer:

Step-by-step explanation:

<u>Statements    </u>                                   <u>  Reasons</u>

1) QS =42                                               Given

2) QR + RS = QS                              Segment Addition Postulate

3) (x + 3) + 2x = 42                            Substitution Property

4) 3x + 3 = 42                                      Simplify

5) 3x = 39                                          Subtraction Property of Equality

6) x=13                                               Division Property of Equality

Explanation:

We have given QS=42. We have to prove that x=13

We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS  if and only if the distances between the points satisfy the equation QR + RS = QS.

Then we will substitute the values in the defined postulate.

where QR= x+3

RS=2x

QS=42

QR+RS=QS

(x+3)+2x= 42

Now simplify the expression by opening the brackets.

x+3+2x=42

3x+3=42

Now subtract 3 from both sides.

3x+3-3=42-3

3x=39

divide both sides by 3.

3x/3 =39/3

x=13..

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

This is an isosceles triangle (two of the three angles are equal) so two of the sides are also equal. x is the same length as 15.

5 0
2 years ago
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Answer:

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