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Readme [11.4K]
3 years ago
12

Maria solved the equation below and got x = –4. Which of the following choices verifies that her solution is correct? 5x + 22 =

x + 6
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0

Answer and Explanation :

Given : Maria solved the equation below and got x = –4.

To find : Equation verifies that her solution is correct?

Solution :

We have given the equation,

5x+22=x+6

To verify that her solution is correct we substitute x=-4 if LHS=RHS then she is correct.

LHS - 5x+22

Put x=-4

5(-4)+22=-20+22=2

LHS=2

RHS - x+6

Put x=-4

(-4)+6=2

RHS=2

LHS=RHS

The solution is correct.

VladimirAG [237]3 years ago
3 0
5(-4)+22 = (-4)+6
-20+22 = -4+6
2 = 2
Maria is correct, since both sides equally match.
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Xavier, Yolanda and Sara shared some money. Yolanda received 40% more money than Xavier, and Zara received 60% of Yolanda's shar
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Answer:

Step-by-step explanation:

Xavier, Yolanda and Zara shared some money.

Let x represent Xavier's share

Let y represent Yolanda's share

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y = x + 40/100×x = x + 0.4x = 1.4x

Zara received 60% of Yolanda's share. This means that

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. If Zara received $1,176, then,

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6 0
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A biologist is researching the population density of antelopes near a watering hole. The biologist counts 32 antelopes within a
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Answer:

=0.3 per km²

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Population density is the population per uni area.

Area=πr² Where A is area and r is the radius of the circle.

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7 0
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8. How many ways can a committee of 5 students be chosen from a student council of 30 students? Is the order in which the member
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Answer: A committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

No , the order in which the members of the committee are chosen is not  important.

Step-by-step explanation:

Given : The total number of students in the council = 30

The number of students needed to be chosen = 5

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So we Combinations (If order matters then we use permutations.)

The number of combinations of to select r things of n things = ^nC_r=\dfrac{n!}{r!(n-r)!}

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Therefore , a committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

4 0
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