the mean (average) of three boys is 40 pounds. one of the boyd weighs 50 pounds. the other two boys have the same weight. find weight of each of the boys

Answers

Answer 1

Answer:

35, 35, and 50

Step-by-step explanation:

50 + x + x = n

n ÷ 3 = 40

n = 40 x 3

n = 120

50 + 2x = n

50 + 2x = 120

2x = 120 - 50

2x = 70

2x/2 = 70/2

x = 35

To check:

35 + 35 + 50 = 120

120 ÷ 3 = 40

Hope this helps

Answer 2

Answer:

35

Step-by-step explanation:

let us take each boy's weight as x

therefore,

average = [tex]\frac{x+x+50}{3\\}[/tex]

40 = [tex]\frac{x+x+50}{3\\}[/tex]

40 x 3 = x + x + 50

120 - 50 = 2x

70 = 2x

2x = 70

x = [tex]\frac{70}{2}[/tex]

x = 35

So weight of each boys is 35.


Related Questions

um can somone help me please ​

Answers

Answer:

8 is 1

Step-by-step explanation: Multiply

An infant playpen is in the shape of a circle. If the playpen has a diameter of 2 meters, what is the approximate area of the playpen?

Answers

Answer:

π meters

Step-by-step explanation:

The diameter is 2  meters. Then the radius is 1 meter. So:

A=πr²

  =π(1)²

  =π meters ...............

Answer:

3.14

Step-by-step explanation

the formula of a circle is A=πrxr

2 divided by 2 is 1

1 x 1 = 1

3.14 x 1 = 3.14

thats is!

Evaluate the following equation, when x=20:
x/5 + x – 10

Answers

The simplified answer is 14

Determine the y-intercept of the line that passes through the points (3, 7) and has a slope of 2?

Answers

Y = 2x + b
7 = 2(3) + b
7 = 6 + b, b = 1
Solution: the y intercept is 1

Quadrilateral RSTU is a parallelogram. What other information would allow you to prove that RSTU is a rectangle? options 1/Opposite angles are congruent. 2/Opposite sides are congruent. 3/The diagonals bisect the angles. 4/The diagonals are congruent.

Answers

Answer:

Opposite angles are congruent

Opposite sides are congruent

Step-by-step explanation:

Expand & simplify
(9x - y) (9x + y)​

Answers

Answer:

[tex]81x^{2}- y^{2}[/tex] this is the answer

Step-by-step explanation:

5/9 x 6/15 x 15/4=

Plz help

Answers

Answer:

5/6

Step-by-step explanation:

time sensitive!! i really need help thanksss

Answers

Answer:

-x -y = 5

Step-by-step explanation:

the Answer will be 5

prove that
(pSinB-rcosB)2 +(rsinB+pcosB)2=p2+r2​

Answers

Expand the binomials, then simplify, then invoke the Pythagorean identity:

(p sin(B) - r cos(B))² + (r sin(B) + p cos(B))²

= (p² sin²(B) - 2pr sin(B) cos(B) + r ² cos²(B)) + (r ² sin²(B) + 2pr sin(B) cos(B) + p² cos²(B))

= p² (sin²(B) + cos²(B)) + r ² (cos²(B) + sin²(B))

= p² + r ²

Mr. Vaughn set aside $200 of his income each month for years toward home repairs. He spent 30% of the money he set aside to replace a broken water heater. How much of the money he set aside did Mr. Vaughn have left after paying for the water heater?

Answers

Answer:

The answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.

Step-by-step explanation:

In order to find the answer, first you have to calculate 30% of the amount Mr. Vaughn set aside of his income each month to determine the money he spent to replace the broken water heater:

$200*30%=$60

Now, you have to subtract the amount that represents the 30% from the amount he set aside:

$200-$60=$140

According to this, the answer is that Mr. Vaughn have $140 left from the money he set aside after paying for the water heater.

what is the solution of the system of equations 2x-5y=11 and -2x+3y=-9

Answers

Equation 1:
x = (5y+11)/2
Substitute equation 1 to 2:
-2((5y+11)/2)+ 3y=-9
-2/2 = -1 thus -1(5y+11)

Continue...
-(5y+11)+3y=-9
-5y-11+3y =-9
(-5+3)y= 11-9
-2y = 2
y=-1

Substitute y into equation 1:
x=(5*-1+11)/2
x = 6/2=3

So y=-1 and x =3

Answer:

Step-by-step explanation:

In order for us to be able to get our (x,y) value, we need to show our work step-by-step.

Solving for Y:

  -2x + 3y = -9

+ (2x - 5y = 11)

_____________________

             -2y = 2

             -2     -2

In order for us to be able to find our y value, we need to divide -2 both sides.

y = -1

Solving for X:

2x-5(-1) = 11

2x + 5 = 11

    - 5    -5

_____________________

                 2x = 6

                  2      2

In order for us to find our x value, we need to divide 2 both sides.

x = 3

Our equation set or (x,y) value will be equal to:

(3,-1)

A store is having a summer sale where all prices are 25−30% off. If you want to buy a pair of shoes that costs $50.00, what could be the sale price for this pair of shoes? An 8% sales tax must be applied to the sale price. What would be the final cost of the pair of shoes, including the sales tax?

Answers

Answer:

Before Tax: $37.50 and $32.50

After-Tax: $40.50 and $35.10

Step-by-step explanation:

In order to calculate the sales price we need to turn these percentages into the proper decimals, since they are discounts we would do this by dividing each percentage by 100 and then subtracting them from 1. Then we use those decimals and multiply them by the original cost of the shoes.

25% / 100 = 0.25

1 - 0.25 = 0.75

50.00 * 0.75 = $37.50

30% / 100 = 0.35

1 - 0.35 = 0.65

50.00 * 0.65 = $32.50

Now we see that the sales price for these shoes would range between $37.50 and $32.50. Now we need to add an 8% sales tax, we do this by dividing this percentage by 100 and adding 1 to it. Then we multiply this new value by the new sales prices.

8% / 100 = 0.08

0.08 + 1 = 1.08

$37.50 * 1.08 = $40.50

$32.50 * 1.08 = $35.10

What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture

Answers

Answer:

AAS postulate can be used to prove that these two triangles are congruent

Step-by-step explanation:

Let us revise the cases of congruence  

SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right Δ  

In the given figure

∵ There is a pair of vertically opposite angles

The vertically opposite angles are congruent ⇒ (1)

∵ There are two angles have the same mark

These marked angles are congruent ⇒ (2)

∵ There are two sides have the same mark

These two marked sides are congruent ⇒ (3)

→ From (1), (2), and (3)

∴ The two triangles have 2 angles and 1 side congruent

→ By using case 4 above

The two triangles are congruent by the AAS postulate of congruency.

AAS postulate can be used to prove that these two triangles are congruent

At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of DVD sold.

image
According to the circle graph, about how many action/adventure DVDs were sold last year?
A.
6912
B.
6284
C.
5656
D.
4399

Answers

Answer:

C

Step-by-step explanation:

12568*.45 = 5655.6

c is best answer here

during the 20 year study, a law was passed that banned the use of pesticides known to be harmful to the fruit bat. predict the year the law was passed

Answers

Not enough information but the answer is 2017 I think

Simplify the expression. 14 + (-3) -3/7j - 6/7j + 6

Answers

17 - 9/7j

Because you would group all of the non fractions together ( 14-3+6 =17) and then group the fractions together ( 9/7j)

Answer:

[tex]t^{14}[/tex] +  3  +  − [tex]\frac{3j}{7}[/tex]  + 7 + -[tex]\frac{6j}{7}[/tex]

Step-by-step explanation:

A candy store uses a 50% markup on cost. Find out the owners cost of a candy bar that sells for $1.50.​

Answers

Answer:

The owners' cost of the candy bar is $1

Step-by-step explanation:

Assume that the owners' cost of the candy bar is 100%

The owners' cost of the candy bar is 100%

∵ The candy store uses a 50% markup on cost

∵ The selling cost = owners' cost + markup

The selling cost = 100% + 50% = 150%

∵ The candy bar sells for $1.50

→ That means 1.50 is 150% of the owners' cost

1.50 = 150% × owners' cost

→ Change 150% to decimal by divide it by 100

∵ 150% = 150 ÷ 100 = 1.50

1.50 = 1.50 × owners' cost

→ Divide both sides by 1.50

∴ 1 = owners' cost

The owners' costs = $1

The owners' cost of the candy bar is $1

Help me classify the triangles by its sides and measuring its angles :) ​

Answers

Answer:

Triangle 1 : isosceles triangle

Triangle 2 : Right Triangle

Step-by-step explanation:

how many teaspoons are f vanilla will i use?

Answers

Answer:

9 teaspoons of vanilla

Step-by-step explanation:

12/4=3

3*3=9

Answer:

teaspoons of vanilla =9

Step-by-step explanation:

we can make it as a ratio

So we have (3 for teaspoons and 4 tablespoons)

          3:4  

Then  x : 12

x=(12/4)*3=9

hope this helps

1
1
Consider the polynomial function:
p(x) = 3x3 + 10x2 + ax - 6
where a is an unknown real number.
If
(x + 3)
is a factor of this polynomial what is the value of a? Show all the steps below.

Answers

Step-by-step explanation:

By Factor Theorem, p(-3) = 0.

Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.

help please i will give brainliest!!

Answers

Answer:

answer D looks good    :)

Step-by-step explanation:

There are two scarecrows in Mr. Martland's garden. The first scarecrow is 4.69 feet tall. The other scarecrow is 8.1 feet tall. What is the difference between the two scarecrows' heights?

Answers

Answer:

The difference between the two scarecrows' heights is 3.41 feet.

Step-by-step explanation:

To find the difference between the two scarecrows' heights, we have to subtract the height of the shorter one from the height of the taller one.

Hence, the difference between their heights would be (8.1 - 4.69) feet, which equals to 3.41 feet.

Hope this helped!

Answer:

3.41 FT

Step-by-step explanation:

Just subtract 4.69 from 8.1.

tricky the clown

The lines in the graph of part A don't intersect at two whole numbers on the coordinate grid. Estimate the values of the solution to the nearest one-fourth of a unit. Then substitute the x- and y-values of the approximate solution into the two equations. How close do you get to the constant numbers in each equation?

Answers

Answer:

The solution lies at approximately (4.25,6.5).

Step-by-step explanation:

The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant. For the second equation, the estimate results in a value that is only 0.25 units away from the constant.

For the given figure, write the conclusion for the statements ∠XYZ ≅ ∠ABC and ∠CBD ≅ ∠ABC.

Question 6 options:

∠CDB ≅ ∠ABD


∠ABC ≅ ∠CDB


∠XYZ ≅ ∠ABD


∠XYZ ≅ ∠CBD

Answers

Answer:

<XYZ = <CBD

Step-by-step explanation:

I saw there wasn't an answer so here ya go, learned the hard way...

Answer:

<XYZ = <CBD

Step-by-step explanation:

this is the right answer I can confirm

Find the value of x in the parallelogram.

Answers

Step-by-step explanation:

here is ur answer pls check it

A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused

Answers

Answer:

b) The average speed at which he travelled for the whole journey

Step-by-step explanation:

If he had travel 200- km/h and had broke down by which was at 10:30 a.m  you would have to subtract 200 km/h to 10:30  your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640

Find the GCF of 74 and 154.

Answers

Answer: 2

Step-by-step explanation:

2

74:  2 37

154:  2711

GCF:2

Please help. I will give 16 points.

Answers

Answer:

(4, -2)

Step-by-step explanation:

if you do process of elimination you find that 'a' doesn't work out but 'b' will . . . substitute -2 for 'y' and 4 for 'x' and see if the equation is true

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

-2 = -3 + 1

-2 = -2  

2/3 a -1/6=1/3
Solve the equation

Answers

Step-by-step explanation:

a=3/4

The two-way table below displays information about passengers on a commercial flight.

Passenger Data


First Class
Coach
Checked Bags
10
81
Did Not Check Bags
14
57

What percentage of coach passengers did not check bags? Round to the nearest tenth.
35.2%
41.3%
70.4%
80.3%

Answers

The answer is 41.3%

The percentage of coach passengers who did not check their bags will be 43.82 %.

What is percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.

We have to find the percentage of coach passengers who did not check their bags.

It is found by dividing the total number of passenger bags not checked by the total number of passengers.

=71 / 162 × 100

=43.82 %

Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ6

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