Luke invited 20 more boys than girls to his birthday party. However, only ¾ of the boys and ⅔ of the girls came. Exactly 19 of Luke’s friends did not show up because they had to do some math homework. How many friends did he invite?

Answers

Answer 1

Answer:

68

Step-by-step explanation:

Let:

Number of girls invited = x

Number of boys = x +20

3/4 of boy showed up

2/3 of girls showed up

Exactly 19 did not show up

Therefore, we could say:

Fraction of boys that didn't show up = 1 - 3/4 = 1/4

Fraction of girls that didn't show up = 1 - 2/3 = 1/3

That is,

[1/4 *(x + 20)] + [1/3*x] = 19

[(x + 20) / 4] + x /3 = 19

(3(x + 20) + 4x) / 12 = 19

3x + 60 + 4x = 228

7x = 228 - 60

7x = 168

x = 168 / 7

x = 24

Number of girls, x = 24

Number of boys, x + 20 = 24 + 20 = 44

Total friends invited = (24 + 44) = 68


Related Questions

Determine which of the lines, if any, are parallel. Explain.

Line a: 4y +x=8

Line b: 2y + x = 4

Line c: 2y = -3x + 6

; The slopes are

Answers

Answer:

Parallel lines have same slope but different y-intercept

None of the given equations have same slope. Therefore lines are not parallel.

Step-by-step explanation:

Slope of Line a: 4y +x=8 is -1/4

Slope of Line b: 2y + x = 4 is -1/2

Slope of Line c: 2y = -3x + 6 is -3/2

Since the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that, the lines are.

Line a: 4y +x=8

Line b: 2y + x = 4

Line c: 2y = -3x + 6

Line a,

4y +x=8

4y= -x+8

y=-1/4x+2

Compare the given equation with the standard equation, y=mx+c in order to find the value of slope(m).

The slope of line a is -1/4.

Line b:

2y + x = 4

2y=-x+4

y=  -1/2x+2

The slope of line b is -1/2.

Line c:

2y = -3x + 6

y= -3/2x+3


The slope of line c is -3/2

The slopes of the line  4y +x=8, 2y + x = 4 and 2y = -3x + 6 will be -1/4, -1/2 and  -3/2 respectively.

Thus, if the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.

Learn more about the slope here:

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PLEASE ANSWER ASASP! Ill GIVE BRAINLEST!!!!!!!!!!





that isnt the actual answer i just put it there

Answers

Answer:

I'm 80% sure its greater than, because $10 per week for 30 weeks Is 300 I think

9 m

Perimeter = 42 meters
length

Answers

Answer:

Ok but what is this for

Step-by-step explanation:

? Solve for X
3x + 6 = 21

Answers

Answer:

x=5

Step-by-step explanation:

21-6=15

3x=15

15÷3=5

Answer:x=5

Step-by-step explanation:

Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?

$52.00
$14.50
$40.50
$48.50​

Answers

Answer: The answer is $48.50

Answer: The answer is $52.00.

Step-by-step explanation:

Step 1: Find the Unit Rate

$32.50 divided by 5 = $6.50

Step 2: Find the Price for Babysitting for 8 Hours

$6.50 x 8 (hours) = $52.00

I hope this helps!

During four trips to the arcade, Julie has collected ticket amounts of 15, 60, 78, and 94.

What is the fewest number of tickets she can collect during her final visit to have an average of 70 tickets per visit?

Answers

Answers:

During four trips to the arcade, Julie has collected ticket amounts of 15, 60, 78, and 94.

the screen shot contains the answer!

What is the fewest number of tickets she can collect during her final visit to have an average of 70 tickets per visit?

103

hope this helps :)

Brainliest il give Brainliest plss help

Answers

Ratio from faces to blocks 3:4
2.7:4
3.it represents the smiley faces and the total

Answer:

3:4

2.7:4

3.it represents the smiley faces and the total

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12

Step-by-step explanation:

X=12 on the first, on the second one it has to be greater than 12

Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4 terms. :2(x+4) is a product.

Answers

Is a product of three factors

Answer:

three factors

Step-by-step explanation:

3.
The slope of the line parallel to 2x – 3y = 4 is
No
TRUE
FALSE
Submit Answer

Answers

Answer:

false

Step-by-step explanation:

this is because the slope would be 2/3 if you follow the equation y=mx+b

Answer: false

Step-by-step explanation: the other one is a slope of POSITIVE 2/3

h(x)=4-2x find h (-3)

Answers

Answer:

10

Step-by-step explanation:

h(x) = 4 - 2x

h(-3) = 4 - 2*(-3)

       = 4 + 6

      = 10

I need this both question

Answers

15a. Is one solution

Enter a fraction that is equivalent to
1/9
with a numerator of 2.

Answers

Answer:

2/18

Step-by-step explanation:

Answer:

2/18

Step-by-step explanation:

2/1=2

2*9=18

2/18

Hope this helps. Have a nice day you amazing bean child.

Use your understanding of transformations and key features to write the slope-intercept equation of this linear function.

Enter the correct answer in the box by replacing the values of m and b.

Answers

Answer:

f(x)=-2x+5

Step-by-step explanation:

The line shown in the graph is always decreasing at a constant rate, has a slope of -2, and has a y-intercept of 5.

So the parent function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).

Therefore, the slope-intercept equation that represents this linear function is f(x)=-2x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=-2x+5.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The given line passes through two points with coordinates (0,5) and (1,3). Therefore, the slope and the y-intercept of the given equation of a line can be written as,

Slope, m = (5 - 3)/(0 - 1) = 2/-1 = -2

y-intercept, c = 5

Now, the equation of the line can be written as,

y = mx + c

y = -2x + 5

Hence, the equation of the given line is y=-2x+5.

Learn more about Equation of Line here:

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An investor purchased 100 shares of stock in a company for $1,500. One year later, the investor sold all the shares for $1,750. What is the investor's rate of return?​

Answers

Answer:

16 2/3%

Step-by-step explanation:

rate of return is the profit (1750 - 1500) over the original investment

250/1500 = .1666 or 16 2/3%

Answer:  .1666

Step-by-step explanation:

What’s 36 x 99? I don’t know, do you?

Answers

Answer:

3564

Step-by-step explanation:

calculator, dude.

Answer:

Its 3,464 *smh

If you had 99 barrels of oil, then multiplied it why 36, how much would u have?

Answer - 3,464

1. Find the scale factor from the large figure to the small figure.

2. Find the scale factor from the small figure to the large figure.

Answers

Answer:

sorry I can see the whole answer on the image

AS ALWAYS, DUE TODAY!!! WILL GIVE EVERYTHING GOOD!!! NOTE: I NEED THE COORDINATES!!! I STILL NEED HELP WITH THIS!!!

Answers

Answer:

(2, 5)

Step-by-step explanation:

Is the relationship between time and distance an arithmetic sequence?
Explain.

Answers

The total distance a freely falling body covers in time, t, is given by the equation d(t)=1/2 gt', where g is typically constant at ___ m/s. Show, in terms of n, the distance a falling body covers in t=n seconds of movement, c.

Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?

Answers

Answer:

2 hours 15 minutes

Step-by-step explanation:

Given that :

Ben's speed = 3 mi/hr

One and half hours after Ben leaves = 1.5 hours

Ben's distance = 3 mi/hr * 1.5 = 4.5 miles

Amanda's speed = 5 mi/hr

Time taken before Amanda catches up:

Let time taken = x

Distance = speed * time

Ben's distance = Amanda's distance

4.5 mi + (3 * x) = 5 * x

4.5 + 3x = 5x

4.5 = 5x - 3x

4.5 = 2x

x = 4.5 / 2

x = 2.25 hours

Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes

It would take Amanda 2.25 hours to catch up with Ben

Speed is the ratio of distance to time. It is given by:

Speed = distance/time

Given that Ben covers a distance d at time t, hence:

3 = d/t

d = 3t

Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5

5 = d/(t - 1.5)

d = 5t - 7.5

Since they catch up, hence:

3t = 5t - 7.5

2t = 7.5

t = 3.75 hours

Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours

Hence it would take Amanda 2.25 hours to catch up with Ben.

Find out more at: https://brainly.com/question/22610586

A +40 =0. What is the value of A?

Answers

Answer:

-40

Step-by-step explanation:

Answer:

hope you for the answer

Step-by-step explanation:

A+40=0

A=0-40

A=-40#

SOMEONE PLEASE HELP ME. PLEASE!

Answers

Answer:

30

Step-by-step explanation:

It is a 30 60 90 triangle if you ever heard of it. Look at it and it will make more sense.

What is the solution to the equation 3X + 27 = -2x + 18

Answers

Answer:

-9/5 or -1.8

Step-by-step explanation:

3x+27=-2x+18 add 2x to both side

5x+27=18 minus 27 from both side

5x=-9 divide 5

x=-9/5, in decimal form=-1.8

Answer:-9/5

Step-by-step explanation:

3x + 27 = -2x + 18

    -27           -27

-3x = -2x - 9

+2x   +2x

5x = -9

5x/5 = -9/5

x= -9/5                

What is 0.25 as a fraction

Answers

Answer:

1/4

Step-by-step explanation:

[tex]\frac{1}{4}[/tex]

Answer: 1/4

Step-by-step explanation:

Trust me ;)

which inequality matches the graph.

a. -2x + 3y > 7
b. 2x - 3y < 7
c. -3x + 2y > 7
d. 3x - 2y < 7​

Answers

Answer:

where is the graph

Step-by-step explanation:

Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card? need help now pls

Answers

Answer:a

Step-by-step explanation:all the other ones are not smart

if u think about it

U can’t dived t and I so just do the one that doesn’t do that

savings account
deposit: $800
rate: 6% per year
time: 2 years

Answers

Answer:

896

Step-by-step explanation:

1. find 12% (because the time is 2 years) of 800 (94)

2. 96 + 800 = 896

3. answer is 896

What is the correct order of operations for simplifying the expression 2 – 3x + 5+7(y – 5x)2 + 0.
square the binomial, combine like terms, and then distribute 7 inside the parentheses
O combine like terms, square the binomial, and then distribute 7 inside the parentheses
O distribute 7 inside the parentheses, square the binomial, and then combine like terms
O square the binomial, distribute 7 inside the parentheses, and then combine like terms

Answers

Answer:

The given expression is ,2 - 3 x + 5 + 7(y - 5 x)^{2} + x2−3x+5+7(y−5x)

2

+x

1 . First we will write the term having highest degree and then move to lowest degree,

→ 7 (y -5 x)² + x -3 x+2+5

2. Adding and subtracting like terms

→7 (y -5 x)² - 2 x+7

Expanding the term in brackets

→ 7(y² + 25 x² -10 x y) - 2 x + 7

Use distributive property

→ 7 y² + 175 x² -70 x y -2 x +7→[Wrote the terms from highest degree to lowest degree]

Answer:

D. square the binomial, distribute 7 inside the parentheses, and then combine like terms

Step-by-step explanation:

edge 2021

Tim saw that a pair of $200 dollar jeans had been marked down by 20%. He told his friend that if you took the new price of the jeans and increased that value by 20%, the jeans would return to the original price of $200. is he correct or no?

Answers

Hey there!

The answer is no, they would not return to the original price of $200.

This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.

Hope this helps! Have a great day, and good luck on your assignment!

PLZ answer this for me its urgent PLZ needed Now!

Answers

Answer:

1 or 2      i think 2

Step-by-step explanation:

The answer is 2,I am pretty sure I’ve had this question before
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