3/5p+1/5(40-p)=0 what value makes p true

Answers

Answer 1

The value of p that makes the equation true is -20

Step-by-step explanation:

To solve an equation of one variable

Simplify the equation if necessaryUse the mathematics operations to put the variable in one side and the numerical term in the other sideDivide both sides by the coefficient of the variable to find its value

∵ The equation is [tex]\frac{3}{5}p+\frac{1}{5}(40 - p)=0[/tex]

- Simplify the left hand side

∵ [tex]\frac{1}{5}(40-p)=\frac{1}{5}(40)-\frac{1}{5}(p)[/tex]

∴ [tex]\frac{1}{5}(40-p)=8-\frac{1}{5}p[/tex]

- Substitute [tex]\frac{1}{5}(40-p)[/tex] in the equation by [tex]8-\frac{1}{5}p[/tex]

∴ [tex]\frac{3}{5}p+8-\frac{1}{5}p=0[/tex]

- Add the like terms

∴ [tex](\frac{3}{5}p-\frac{1}{5}p)+8=0[/tex]

∴ [tex]\frac{2}{5}p+8=0[/tex]

- Subtract 8 from both sides

∴ [tex]\frac{2}{5}p=-8[/tex]

- Divide both sides by [tex]\frac{2}{5}[/tex]

∴ p = -20

To check the answer substitute p by -20 in the equation, the left hand side is equal to the right hand side, then the answer is right

∵ left hand side = [tex]\frac{3}{5}(-20)+\frac{1}{5}(40-(-20))[/tex]

∴ left hand side = [tex]\frac{-60}{5}+\frac{1}{5}(40+20)[/tex]

∴ left hand side = [tex]\frac{-60}{5}+\frac{60}{5}[/tex]

∴ left hand side = 0

∵ Right hand side = 0

∴ Left hand side = Right hand side

∴ The value of p makes the equation true

The value of p that makes the equation true is -20

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Answer 2

Answer:

-20

Step-by-step explanation:


Related Questions

If f(x) = 2x^2+1 and g(x) =x^2-7 find (f+g)(x)

Answers

Answer:f=−

​7

​x

​2

​​ +1−2g−x

​​  

Step-by-step explanation:

1 Subtract {x}^{2}x

​2

​​  from both sides.

2{x}^{2}+1-g-x-{x}^{2}=-7f+g2x

​2

​​ +1−g−x−x

​2

​​ =−7f+g

2 Simplify  2{x}^{2}+1-g-x-{x}^{2}2x

​2

​​ +1−g−x−x

​2

​​   to  {x}^{2}+1-g-xx

​2

​​ +1−g−x.

{x}^{2}+1-g-x=-7f+gx

​2

​​ +1−g−x=−7f+g

3 Subtract gg from both sides.

{x}^{2}+1-g-x-g=-7fx

​2

​​ +1−g−x−g=−7f

4 Simplify  {x}^{2}+1-g-x-gx

​2

​​ +1−g−x−g  to  {x}^{2}+1-2g-xx

​2

​​ +1−2g−x.

{x}^{2}+1-2g-x=-7fx

​2

​​ +1−2g−x=−7f

5 Divide both sides by -7−7.

-\frac{{x}^{2}+1-2g-x}{7}=f−

​7

​x

​2

​​ +1−2g−x

​​ =f

6 Switch sides.

f=-\frac{{x}^{2}+1-2g-x}{7}f=−

​7

​x

​2

​​ +1−2g−x

​​  

f(x) + g(x) = [2x^2 + 1] + [x^2 – 7]

≈ 3x^2 – 6

Hence (f + g)(x) = 3x^2 – 6

Solve the equation -1/4x=7

Answers

Answer:

-1/4 x = 7

x4          x4

-x        = 28

x = -28

Step-by-step explanation:

Answer: -1/4*-28=7

x=-28

Step-by-step explanation:

First, do -1/4 and you should get-0.25 as your answer .

Next, do 7/-0.25

Last, check your answer and to do so simply multiply -1/4*-28 and you should get 7 as your final answer.  

please help!! Kurt's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.

Answers

Expression that shows distance Kurt can drive on a tank of gasoline is 23g miles

Solution:

Given that, Kurt's car gets 23 miles to a gallon of gasoline

He filled up his car's gas tank with g gallons

To find: Expression that shows distance Kurt can drive on a tank of gasoline

From given,

1 gallon of gasoline = 23 miles

Kurt fills up his car with "g" gallons

Therefore, for "g" gallons,

[tex]1 \times g \text{ gallons of gasoline } = 23 \times g \text{ miles }\\\\g \text{ gallons of gasoline } = 23g \text{ miles }[/tex]

Thus the distance Kurt can cover with "g" gallons is:

[tex]distance = 23g\ miles[/tex]

Thus with "g" gallons of gasoline, Kurt can drive 23g miles

Dave ordered dinner for a party of 10 people. Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each. what was the average cost of each dinner at Dave's party?

Answers

Answer:

The average cost of each dinner at Dave's party is $5.79.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

[tex]4.75\times 3=14.25[/tex]

Two people ordered the $4.95 fish dinner.

[tex]4.95\times 2=9.90[/tex]

Five had the beef dinner at a cost of $6.75.

[tex]6.75\times 5=33.75[/tex]

Total amount of dinner = [tex]14.25+9.90+33.75=\$57.90.[/tex]

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

[tex]57.90\div 10[/tex]

[tex]=\$5.79.[/tex]

Therefore, the average cost of each dinner at Dave's party is $5.79.

Final answer:

To find the average cost per dinner at Dave's party, calculate the total cost of each type of dinner and sum them up to get the total cost. Then, divide the total cost by the number of guests to obtain the average cost. The average cost per dinner is $5.79.

Explanation:

To calculate the average cost of each dinner at Dave's party, first calculate the total cost of all dinners combined by multiplying the number of each type of dinner by its price and then adding up the totals:

Chicken dinner cost: 3 dinners × $4.75 = $14.25

Fish dinner cost: 2 dinners × $4.95 = $9.90

Beef dinner cost: 5 dinners × $6.75 = $33.75

Next, add all the costs together to get the total cost of the dinners:

Total cost = $14.25 + $9.90 + $33.75 = $57.90

Now, divide the total cost by the number of guests to find the average cost per dinner:

Average cost = Total cost ÷ number of guests

Average cost = $57.90 ÷ 10 = $5.79

So, the average cost per dinner at Dave's party is $5.79.

simplify this expression
2[(13-1)^2+2]

Answers

Answer:

292

Step-by-step explanation:

2(12^2+2)

2(144+2)

2(146)

292

Answer:

292

Step-by-step explanation:

13-1=12

12×12=144

144+2=146

146×2= 292

1. Megan is using an equilateral triangle as part of a design on a sweatshirt. Each side of the triangle
is 12 inches long. Megan is sewing a line of sequins from the midpoint of one side of this triangle to
the opposite vertex. Approximately how long will the line of sequins be?
A.
B.
C.
D.
13.4 in.
10.4 in.
8.5 in.
5.2 in.

Answers

Answer:

B 10.4

Step-by-step explanation:

John is selling tickets to an event. Attendees can either buy a general admission ticket, x, or a VIP ticket, y. The general admission tickets are $70 and the VIP tickets are $80. If he knows he sold a total of 29 tickets and made $2,130, how many of each type did he sell?

Answers

Step-by-step explanation:

x+y=29...because x and y means how many tickets they have

and if normal 1 ticket is 70...then x number of tickets are $70x.

and

1 VIP ticket is 80...then y number of tickets are $80y..got that?...sum of all earned by selling tickets equal to $2130

so...

70x+80y=2130

so...equations are

x+y=29

70x+80y=2130

solve these equations.i did the hard part...you will get the answer...if u dont know hot to solve this comment me...

Are 4x and 15 + x equivalent expressions

Answers

Yes if x=5 then 4(5)= 20 and 15+5=20

Final answer:

The expressions 4x and 15 + x are not equivalent as they yield different results for the same value of x.

Explanation:

The expressions 4x and 15 + x are not equivalent. Equivalence between two expressions means that for any value of the variable(s) involved, the expressions yield the same result. To determine if these expressions are equivalent, you can compare them for different values of x. For instance, if x is 1, 4x yields 4, whereas 15 + x yields 16, which are not the same. Thus, we can say that the expressions 4x and 15 + x are not equivalent as they produce different results for the same values of x.

10. * MULTIPLE CHOICE Which ordered pair is a solution of 6x + 3y = 18?
A (-2,-10) 6 (-2, 10) © (2, 10)
(10,-2)

Answers

Answer:

(-2,10)

Step-by-step explanation:

6x-2= -12

3y = 3×10 =30

30+(-12)=18

1. A six-sided number cube is rolled and a card is drawn from a
standard deck. Find the total number of outcomes.

Answers

Answer:

it's 312

Step-by-step explanation:

1/6 is the total number of outcomes from the cube

1/52 is the total number of outcomes from the deck

multiply them and get 1/312

312 outcomes!

The question is an illustration of arrangement and selection.

The total number of outcomes is 312

The given parameters are:

Cube and Standard deck

A cube has 6 faces

A standard deck has 52 cards

So, the total number of outcome is:

[tex]\mathbf{Total = Cube \times Standard\ deck}[/tex]

Substitute known values

[tex]\mathbf{Total = 6 \times 52}[/tex]

[tex]\mathbf{Total = 312}[/tex]

Hence, the total number of outcomes is 312

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Which of the following inequalities could be the result of the first step in solving the inequality
3(x – 4) < 8x + 13 for x?
AX-45 x+13
B x-458x+10
(C3x – 4 5 8x+13
D
3x – 12 5 8x + 13

Answers

Final answer:

In the inequality 3(x – 4) < 8x + 13, the first step is to distribute the 3 on the left-hand side. That results in the inequality 3x – 12 < 8x + 13. Therefore, the correct answer from the options given is (D) 3x – 12 < 5 8x + 13.

Explanation:

The question is asking for the inequality that could result after the first step when solving the given inequality 3(x – 4) < 8x + 13. The first step involves distributing the multiplication on the left side of the inequality. Therefore, 3 multiplied by x gives 3x and 3 multiplied by -4 gives -12. This leads to the inequality 3x – 12 < 8x + 13.

So, the correct answer from the options given is:
(D) 3x – 12 < 5 8x + 13.

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-4x + y = 4
2x + 2y =13

Answers

Answer: What exactly are you asking??

Step-by-step explanation:

Problem 1 Answer: x = -1 + 0.25y

Show Work:

1) Solving

-4x + y = 4

2) Solving for variable 'x'.

3) Move all terms containing x to the left, all other terms to the right.

4) Add '-1y' to each side of the equation.

-4x + y + -1y = 4 + -1y

5) Combine like terms: y + -1y = 0

-4x + 0 = 4 + -1y

-4x = 4 + -1y

6) Divide each side by '-4'.

x = -1 + 0.25y

7) Simplifying

x = -1 + 0.25y

Problem 2 Answer: x = 6.5 + -1y

Show Work:

1) Solving

2x + 2y = 13

2) Solving for variable 'x'.

3) Move all terms containing x to the left, all other terms to the right.

4) Add '-2y' to each side of the equation.

2x + 2y + -2y = 13 + -2y

5) Combine like terms: 2y + -2y = 0

2x + 0 = 13 + -2y

2x = 13 + -2y

6) Divide each side by '2'.

x = 6.5 + -1y

7) Simplifying

x = 6.5 + -1y

Figure LMNO is a parallelogram. Parallelogram L M N O is shown. Angle M is (3 x) degrees and angle N is (8 x minus 40) degrees. What is the value of x? 8 10 13 20

Answers

Answer:

20

Step-by-step explanation:

we know that

In a parallelogram, opposite  angles are congruent and consecutive angles are supplementary

In this problem

M and N are consecutive angles so

[tex]m\angle M+m\angle N=180^o[/tex]

substitute the given values

[tex]3x^o+(8x-40)^o=180^o[/tex]

solve for x

[tex]11x-40=180\\11x=220\\x=20[/tex]

Answer:

20

Step-by-step explanation:

2. Find the missing side length of the right triangle
shown below.
26 cm
10 cm
A. 18 cm
B. 20 cm
C. 22 cm
D. 24 cm

Answers

Using the Pythagorean Theorem with a hypotenuse of 26 cm and one side of 10 cm, the length of the other side is found to be 24 cm. Thus, the correct answer is (D) 24 cm.

In a right-angled triangle, you can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse c is equal to the sum of the squares of the lengths of the other two sides a and b:

[tex]\[c^2 = a^2 + b^2\][/tex]

Given that the hypotenuse c is 26 cm and one side a is 10 cm:

[tex]\[26^2 = 10^2 + b^2\]\[676 = 100 + b^2\]\[b^2 = 576\]\[b = 24\][/tex]

Therefore, the length of the other side is 24 cm, and the correct answer is (D) 24 cm.

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The complete question is:

The hypotenuse of a right triangle is 26 cm long. If one of the remaining two sides is 10 cm long. Find the length of the other side.

A. 18 cm

B. 20 cm

C. 22 cm

D. 24 cm

Select the correct answer.
Which group settled in America to escape religious persecution?
O
A.
Puritans
O
B.
Quakers
O
c.
Baptists
O D. Methodists
© 2020 Edmentum. All rights reserved.
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Answers

Answer:

A. Puritans

Remember, King James was Catholic (brought up presbyetirian) and later enforced Anglican

A) Puritans settled in America to escape religious persecution.

what is emigration?

Emigration is the act of leaving one's country or region to live in another. It is a type of migration, which refers to the movement of people from one place to another. Emigration is different from immigration, which is the process of entering a new country or region to live there permanently.

The Puritans were a group of English Protestants in the 16th and 17th centuries who sought to "purify" the Church of England from what they saw as Roman Catholic practices.

They faced persecution and discrimination in England, which led many of them to emigrate to America in search of religious freedom.

The most well-known group of Puritan emigrants to America were the Pilgrims, who established the Plymouth Colony in Massachusetts in 1620.

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Complete question:

Which group settled in America to escape religious persecution?

A.) Puritans

B.) Quakers

C.) Baptists

D.) Methodists

Two cars are 190 miles apart and travel toward each other along the same road. They meet in 2 hours. One car travels 5 miles per hour faster than the other car. What is the average speed of each car?

Answers

The speed of slower car is 45 mph and faster car is 50 mph.

Step-by-step explanation:

Given,

Distance covered by both cars = 190 miles

Time taken by both of them = 2 hours

Let,

x be the speed of slower car.

Speed of faster car = x+5

Combined speed = x+x+5 = 2x+5

We know that;

Distance = Speed * Time

[tex]190=(2x+5)*2\\190=4x+10\\4x=190-10\\4x=180\\[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{180}{4}\\x=45[/tex]

Speed of slower car = 45 miles per hour

Speed of faster car = 45+5 = 50 miles per hour

The speed of slower car is 45 mph and faster car is 50 mph.

Keywords: speed, distance

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Final answer:

The problem given is a relative speed problem in mathematics. By solving the equation, we find that the slower car travels at 45 mph and the faster car travels at 50 mph.

Explanation:

This is a

problem of relative speed

in

mathematics

. Let's consider the speed of the slower car as 'x' miles per hour. The faster car is travelling 'x+5' miles per hour. Since they are moving towards each other, the sum of their speeds equals the total distance divided by the total time, that is (x + (x + 5)) = 190/2. Simplifying the equation, we get 2x + 5 = 95. Solving further, we get x = 45 miles per hour. Therefore, the slower car is travelling at 45 mph and the faster car is travelling at 50 mph.

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Jenna and Callie collect stamps. Jenna has 20 less than twice the number of stamps that Callie has. Write an expression that represents the number of stamps that Jenna has.

Answers

The expression that represents the number of stamps that Jenna has is 2x - 20

Step-by-step explanation:

Let us revise some algebraic expressions

a is 5 more than b ⇒ a = b + 5a is 3 less than b ⇒ a = b - 3a is twice b ⇒ a = 2 bThe sum of a and b ⇒ a + bThe difference of a and b ⇒ a - bThe quotient of a and b ⇒ a ÷ bThe product of a and b ⇒ a × b

∵ Jenna and Callie collect stamps

∵ Jenna has 20 less than twice the number of stamps that Callie has

- Assume that Callie has x stamps, that means to find the number

  of stamps of Jenna multiply x by 2 and subtract 20 from the product

∵ Callie has x stamps

∵ Twice means × 2

∴ Jenna has = 2(x) - 20

∴ Jenna has = 2x - 20

The expression that represents the number of stamps that Jenna has is 2x - 20

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Find the value of the y-intercept of the line whose equation is 5x - 3y = -12.

Answers

To find the y-intercept, rewrite the equation of the line in slope-intercept form:

Slope-intercept form: y = mx + b   (b is the y-intercept)

This is how you get your equation in slope-intercept form:

5x -3y = -12

-3y = -5x - 12

-3y/-3 = (-5x -12)/-3

y = (5/3)x + 4

The answer is 4.

Please let me know if you understand in the comments!

in 2014 there were about 126 million women in the United States, and women were about 51.4% of the total population. what was the total population in 2014?​

Answers

Answer:

Step-by-step explanation

51.4% of the total population is 126 million

let x be the total population

turn ur percent to a decimal

0.514x = 126,000,000

x = 126 / 0.514

x = 245,136,186.77 <==

Answer:

245 millions

Step-by-step explanation:

51.4 > 126million

100 > X

X=100*126/51,4

X=245.1

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test c e que tous


build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing in the


represents child bikes and a represents adult bikes, determine which system of inequality best explans whether the company and tes and 150


bikes in the week


No, because the bike order does not meet the restrictions of 40 + 6a s 120 and 4C + 4a s 100


No, because the bike order does not meet the restrictions of 40 + 4a s 120 and 6C + 4a 5 100


Yes, because the bike order meets the restrictions of 40 + 6a s 120 and 4C + 4a s 100


Yes, because the bike order meets the restrictions of 40 + 4a s 120 and 6c + 4a 5 100

Answers

As the question is unable to be understood/incomplete hence let's discuss the complete question (most probable question) and the answer for that.

Updated Question:

"A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100"

Answer:

Correct answer for this question is first option because it satisfies the first inequality but not the second one.

Step by Step Explanation:

[tex]NO,\\4c+6a\leq 120\\ and\\4c+4a\leq 100[/tex]

First Inequality:

4(20)+6(6)≤120

80+36≤120

116≤120 ⇒ TRUE

Second Inequality:

4(20)+4(6)≤100

80+24≤100

104≤100 ⇒ FALSE

Ms. Ellis expected 50 families to attend parent teacher conference but 60 families attended. What is the percent error?

Answers

Answer:

20%.

Step-by-step explanation:

That is  (60 - 50) / 50

= 10/50

= 1/5

To convert to a percent we multiply by 100:

= 20%.

I think it will be 10% because you invited 50 right? And 60 atended or was it 60 and 50 atended? Well either way I think it’s 10%

A new car is purchased for 24000 dollars. The value of the car depreciates at 6.75% per year. To the nearest year, how long will it be until the value of the car is 15500 dollars?

Answers

Final answer:

To the nearest year, it will take about 6 years for the value of the car to reach $15,500.

Explanation:

To find how long it will take for the value of a car to depreciate to $15,500, we can set up an equation using the formula for exponential decay: V = P[tex](1 - r)^t[/tex], where V is the final value, P is the initial value, r is the depreciation rate, and t is the time in years.

Plugging in the given values, we have 15500 = 24000[tex](1 - 0.0675)^t[/tex]. To solve for t, we can take the logarithm of both sides:

log(15500) = log(24000[tex](1 - 0.0675)^t)[/tex]

t * log(1 - 0.0675) = log(15500/24000)

t = log(15500/24000) / log(1 - 0.0675)

Using a calculator, we find that t is approximately 5.54 years. Rounding to the nearest year, it will take about 6 years for the value of the car to reach $15,500.

Which of the following lengths cannot be the lengths of the sides of a triangle?

A. 4,6,9
B. 3,4,2
C. 2,2,3
D. 1, 1, 2

Answers

I thinks it’s be because if u see the factors of that number and u divide them and do ladder method the factors u use are 3,4,2 that’s how I think it’s is B I hope I gave help if wrong pls correct me

(2,-1)
Is one of many solutions to the inequality:
X - 3y<1
True or false?

Answers

Answer:

False

Step-by-step explanation:

lets find out..

x - 3y < 1.....check (2,-1)....x = 2 and y = -1

now we sub

2 - 3(-1) < 1

2 + 3 < 1

5 < 1.......so is 5 less then 1 ? NO, it is not...so (2,-1) IS NOT a solution

Answer:false

Step-by-step explanation:

Please help me with the question. You must solve for x.

Answers

Answer:

[tex]x= (3, \frac{3}{10} )[/tex]

Step-by-step explanation:

The figure is composed of two similar triangles; therefore,

[tex]\frac{7x}{19x-4} =\frac{7x+8}{(5x+5)+(19x-4)}[/tex] this says the ratio of the sides is same for the two triangles.

we simplify and a rearrange to get

[tex]7x(24x+1)=(7x+8)(19x-4)[/tex]

which we expand and get

[tex]168x^2+7x=133x^2+124x-32[/tex]

[tex]35x^2-117x+32=0[/tex]

this quadratic equation has solutions

[tex]x=3.04[/tex]

[tex]x=0.30[/tex]

As integers and simplified fractions these are

[tex]x= (3, \frac{3}{10} )[/tex]

Please help me with this math Question. I want to finish meh homework :((((

Answers

The original price of jacket was $180

Step-by-step explanation:

Markdown is the money that is reduced on an item on sale.

Given

Markdown = $63

Percentage = 35%

Let x be the price of the jacket

Then the percentage formula will be sued to find the price of the jacket

[tex]Markdown= 35\%\ of\ x\\63 = 0.35 * x\\x = \frac{63}{0.35}\\x = 180[/tex]

Hence,

The original price of jacket was $180

Keywords: Percentage, Mark up, mark down

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78 divided by 2789 how would I do this in long division form

Answers

This photo will show you how to do it and the answer so your welcome

200 children attended the school play. of total attendance, 40% were boys. How many girls attended the school play

Answers

Answer:120 girls

Step-by-step explanation:

40% equals 80 boys, so 200 people less 80 is equal 120, therefore are 120 girls!

The number of girls is 120.

What are percentages?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. It is used to measure frequency.

Percentage of girls = 100 = 40 = 60%

Number of girls = 60% x 200

= 120

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What fraction is located at Point AAA on the number line?

Answers

Answer:

i don't see no number line

Step-by-step explanation:

Answer:

no pic

Step-by-step explanation:

39 points!!!!! HURRY AND SHOW STEPS.... Point B is collinear with A and C and partitions AC in a 3:4 ratio. B is located at (4,1) and C is located at (12,5). Find the coordinates of endpoint A.

Answers

Answer:

(11,3)

Step-by-step explanation:

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