The average age of 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?
OA. 32
OB. 34
ОО
C. 35
D. 36
E. 40

Answers

Answer 1

Answer:

B. 34

[tex]let \: sum \: of \: ages \: of\: 3 \: people \: be \: x \\ 42 = \frac{x}{3} \\ x = 126 \\ let \:age \: of \: fourth \: person \: be \: y \\ 40 = \frac{x + y}{4} \\ 160 = x + y \\ 160 = 126 + y \\ y = 34 \\ = 34 \: years[/tex]


Related Questions

To make 12 cookies, you need 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda, what is the ratio of brown sugar is to baking soda is to butter to make 24 cookies is ?

Answers

Answer:

1 cup of brown sugar to 2 teaspoon of baking soda

Step-by-step explanation:

Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.

Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.

The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda

help please with this question​

Answers

Answer: 70ft

Step-by-step explanation:

ht= (-3)^2 + 15(3) + 16

ht= 9 + 45 + 16

ht= 70

70 ft. Hope it helps!

You have a group of 5 students who all measure the length of a salamander that is 17 cm long. The measurements are: 16.1 cm, 16. 2 cm, 16.1 cm, 16.2 cm, and 16.2 cm. These measurements are ______.

Answers

Answer: precise but not accurate

Step-by-step explanation:

To be precise means for the measurement to be close to the exact value. To be accurate means to get the exact measurement.

In this case, since the students got values that are close to 17cm, it means that they are precise but they are not accurate since they didn't get the exact measurement which is 17cm.

Matthew bought 45 oz of flour for his bakery. He used 18.3 oz to make a loaf of bread, and 0.83 oz for each muffin. How many muffins did Matthew make if he had 13.42 oz of flour left over?

Answers

He made about 16 muffins

The carnival began at 12:37 pm and ended at 4:31. How long was the carnival

Answers

Answer: 3 hours and 54 minutes

Step-by-step explanation:

Find the value of each variable.
a
59
72
A. a = 59°; b = 49°; c = 72°; d = 98°
B. a = 59°; b = 52°; c = 72°; d = 96°
C. a = 118°; b = 49°; c = 144°; d = 98°
O
D. a = 118°; b = 49°; c = 72°; d = 98°

Answers

Answer:

[tex]C. a = 118^o; b = 49^o; c = 144^o; d = 98^o[/tex]

Step-by-step explanation:

[tex]a=2(59)\\\\a=118^o[/tex]

---------------

[tex]b=180-(59+72)\\\\b=180-131=\\\\b=49^o[/tex]

---------------

[tex]C=2(72)\\\\C=144^o[/tex]

----------------

[tex]d=2b\\\\d=2(49)\\\\d=98^o[/tex]

--------------------

hope it helps...

have a great day!!

The Space Club is having some
posters printed. The printer charges
$250 plus $2 per poster. How many
posters can be printed for $1000?

Answers

Answer:

375

Step-by-step explanation:

250+2/poster=1000

2/poster=750

poster =375

check answer

250+2(375)=1000

250+750=1000

1000=1000

Need help with this question!!

Answers

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

x = √4 × 3

x = 2√3

Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

I will mark brainliest to the correct ans

Answers

The Law of cosines 2 = a2 + b2 − 2ab cos (c) so no

Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through
P (1, 3) and Q(-4, 2). Find the value of t.



Let l be the line through A (4, -3) and B (t, -2) that is parallel to the line through
P(-2, 4) and Q (4, -1). Find the value of t.



Determine the signs of sino coso and tane if O is an angle in standard position and
P (2,-5) is a point on its terminal side.​

Answers

Answer:

Step-by-step explanation:

product of slopes of perpendicular lines=-1

(t-5)/(3+4)×(2-3)/(-4-1)=-1

(t-5)/7×(-1/-5)=-1

(t-5)/35=-1

t-5=-1×35=-35

t=-35+5

t=-30

2.

slopes of parallel lines are equal.

(-2+3)/(t-4)=(-1-4)/(4+2)

1/(t-4)=-5/6

t-4=-6/5

t=4-6/5=(20-6)/5=14/5

3.

x>0,y<0

so P lies in4th quadrant.

except cos and sec all are negative.

so only cos and sec are positive.

PLEASE ANSWER THIS: look at the pic for question. Thanks!!!

Answers

Answer:

[tex]\text{D. }b^2-4ac>0[/tex]

Step-by-step explanation:

The equation [tex]b^2-4ac[/tex] represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

If the discriminant is positive, or greater than 0, the quadratic has two solutionsIf the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).If the discriminant is negative, or less than 0, the quadratic has zero solutions

In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have [tex]b^2-4ac>0[/tex].

Birthstones of students in your class
qualitative Or quantitative??

Answers

Quantitive since it can be counted

ANSWER ASAP!!!!!!!!!

Answers

C. both axis’ are growing at the same rate with the same amount.

please provide a answer

Answers

Answer:

uhh, look it up

Step-by-step explanation:

25/24 as a decimal and round it to the nearest hundredth

Answers

Answer:

1.04

Step-by-step explanation:

25/24=1.04166667

round: 1.04

This scatter plot shows the relationship between the number of sweatshirts sold and the temperature outside.

1) The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of the b in the first response box.

2) Enter the approximate slope of the estimated line of best fit in the second response box.​

Answers

Answer:

Below.

Step-by-step explanation:

1) 245.

2) Approximate slope =  -(245-200)/15 = -3.

The y intercept is 250 and the slope is -10/3.

What is equation of a line?

The equation of a line is linear in two variables, usually x and y, that is satisfied by points of the line.

We have the following ordered pairs in the line given:

(0, 250) and (30, 150)

Calculating the slope:

m = 150 - 250/ 30 - 0

m = -100/30

m = -10/3

Therefore, the slope is -10/3

Finding the y-intercept:

The equation of a line has the form:

y = mx + b, where m is the slope

Replacing by the values we know:

150 = -10/3 * 30 + b

b = 150 + 100

b = 250

Therefore, the y intercept is 250.

Hence the y intercept is 250 and the slope is -10/3.

Learn more about equation of a line, click;

https://brainly.com/question/21511618

#SPJ2

fnd the value of x................

Answers

So to solve a,
You already have the first two answers which are 65 and 90. Since a tríenle always has to equal 180 you just add 65 and 90 and the subtract that number by 180 and that’s your other missing angle.
Both triangles are identical so you just have to insert the answers from the right triangle onto the left triangle.
A is the only one that I knew how to solve, sorry

Janice has a pasta recipe that calls for 2oz. Of cheese for every 3 oz. of cooked pasta find the graph that shows their relationship between cheese and pasta

Answers

where is the graph ?

Find the polar equation of the conic with the focus at the pole, directrix x = -5, and eccentricity 2.

Answers

Step-by-step explanation:

Given that,

Directrix, d= -5, and eccentricity, e = 2.

The polar equation of the conic is given by :

[tex]r=\dfrac{ed}{1-e\cos\theta}[/tex]

Put all the values,

[tex]r=\dfrac{-5\times 2}{1-2\cos\theta}\\\\=\dfrac{-10}{1-2\cos\theta}[/tex]

As e>1, it is a hyperbola. Hence, this is the required solution.

How can you boost your mental and emotional health at school A. Do not bother taking notes in class. B. Develop good note-taking and study habits. C. Avoid making new friends. D. Focus on extracurricular activities and clubs rather than class.

Answers

Answer B: Develop good note-taking and study habits.

48% as its simplest fraction

Answers

Answer:

12/25

Step-by-step explanation:

Percent means out of 100

48% means 48/100

Divide top and bottom by 4

12/25

It would be 12/25.
48/4=12 and 100/4=25, so 12/25.

Given the system of linear equations:
2 – 2y = 4
4x + 3y = 5
What would be a possible FIRST STEP in the process of SOLVING by ELIMINATION?

Answers

a possible first step is to eliminate one of the variables

you could multiple the first equation by 3 and the second equation by 2 so you can eliminate the y variable

hope this helps

Pattern A starts at 0 and uses the rule "add 4." Pattern B starts at 30 and uses the rule "subtract 3."

What are the next four terms in each pattern?

Enter your answers in the boxes.

Answers

Answer: 0  4  8  12  16

              30  27  24  21  18

Step-by-step explanation:

0 + 4 = 4       4 + 4  = 8     8 + 4 = 12   12 + 4 =  16

30 - 3 = 27     27 - 3 = 24    24 - 3 = 21    21 - 3 = 18

Answer:

Step-by-step explanation:

First column add 4  second column subtract 3

0,30

4,27

8,24

12,21

16,18

3. Find the length of the missing side given the information below.
A. 5
B. 25
C. 12.5
D. 157​

Answers

Answer:  12.5  (choice C)

=================================================

We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?

Answers

Answer:

Yes, he has enough pieces to wrap the present

Step-by-step explanation:

Given

[tex]Presents = 7[/tex]

[tex]Cuts = 6[/tex]

Required

Is there enough pieces to wrap all presents

As a general rule;

When a piece is cut in 1 place, you get 2 pieces

When a piece is cut in 2 places, you get 3 pieces

When a piece is cut in 3 place, you get 4 pieces

This implies that:

n cuts gives n + 1 pieces

i.e.

[tex]n \to n + 1[/tex]

So, we have:

[tex]6\ cuts \to (6 + 1) pieces[/tex]

[tex]6\ cuts \to 7\ pieces[/tex]

Hence, there are enough pieces.

classifying quadrilaterals​

Answers

Answer:

D, E, F

Step-by-step explanation:

Answer:

D and F

Step-by-step explanation:

a parallelogram is a quadrilateral with two sets of parallel sides

a quadrilateral is a shape with 4 edges

60% of the books on a bookshelf are english books. If there are 35 english books on the bookshelf, find the number of the books in the book shelf

Answers

Answer: 58 books

Step-by-step explanation:

There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.

Denoting the total number as x, the total number is:

35 = 60% * x

x = 35 / 60%

= 58 books

A. a car travels for 4 hours and it covers a distance of 50km each hour. How many km does it cover for the four hours?

Answers

Step-by-step explanation:

distance covered by car each hour=50km

distance covered by car in four hours =4×50

200km

stay safe healthy and happy...

200km for four hours

Just multiply 50km times 4

Find mMLK. IF YOU GIVE A LINK YOU WILL BE REPORTED.​

Answers

Answer:where is the question

Step-by-step explanation:

If I can paint a wall in 20 min and my friend can paint a wall in 30 min. How many minutes would it take for us to paint a wall working together.

Answers

Answer: [tex]12\ \text{min}[/tex]

Step-by-step explanation:

Given

It takes 20 min and 30 min for  a person and his friend to paint a wall individually  i.e.

In 1 min they cover [tex]\frac{1}{20}[/tex] part and [tex]\frac{1}{30}[/tex] part of wall respectively.

If the work together, 1 minute work is

[tex]\Rightarrow \dfrac{1}{20}+\dfrac{1}{30}\\\\\Rightarrow \dfrac{3+2}{60}\\\\\Rightarrow \dfrac{5}{60}[/tex]

Time required will be reciprocal of it

[tex]\Rightarrow \dfrac{60}{5}=12\ \text{min}[/tex]

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