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maw [93]
2 years ago
15

The average age three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the

fourth person's age?
Mathematics
1 answer:
bogdanovich [222]2 years ago
5 0

Let a_1,\ldots,a_4 denote the ages of the 4 candidates. Then

\dfrac{a_1+a_2+a_3+a_4}4=40

a_1+a_2+a_3+a_4=160

\dfrac{a_1+a_2+a_3}3+\dfrac{a_4}3=\dfrac{160}3

The average age of the first 3 candidates is 42, so

\dfrac{a_4}3=\dfrac{160}3-42

\implies\boxed{a_4=160-3\cdot42=34}

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Name all the corresponding congruent angles and sides? Then complete the triangle congruence statement?
Flura [38]

Answer:

Angle A = Angle Y

Angle B = Angle Z

Angle C = Angle X

AB = YZ

AC = YX

BC = ZX

Triangle ABC = Triangle YZX

Step-by-step explanation:

Find this by looking at the corresponding parts on the other triangle. They have the same marking on them. Make sure that when answering for segments or triangles that the order is the same on both sides.

6 0
3 years ago
there are 104 red candies in a candy machine. this represents 26% of the candy in the machine. how many total are in the candy m
Alborosie

There are 400 candies in the machine.

Step-by-step explanation:

Given,

Number of red candies in machine = 104

This represents 26% of the total candies.

Let,

x be the total candies in the machine.

According to statement;

26% of x = 104

\frac{26}{100}*x=104\\0.26x=104

Dividing both sides by 0.26

\frac{0.26x}{0.26}=\frac{104}{0.26}\\x=400

There are 400 candies in the machine.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/317697
  • brainly.com/question/317616

#LearnwithBrainly

6 0
3 years ago
Please please please please please answer A through D
muminat

Answer:

A: Yes, As more gallons are used the longer the shower is

B: 5 minutes, 20 minutes

C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes

D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)

(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer

Step-by-step explanation:

A: Yes, As more gallons are used the longer the shower is

B: 5 minutes, 20 minutes

C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes

D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)

(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer

7 0
2 years ago
1/5 x = 12 plz help im not very good with math
IceJOKER [234]

Answer:

Step-by-step explanation:

1/5x = 12

x = 12 × 5

x = 60

( By using transposing method )

Plz mark it as brainliest

You can recheck it by calculating

60/5= 12

5 0
3 years ago
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6 0
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