Could someone please answer b?

Could Someone Please Answer B?

Answers

Answer 1

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

The share of John is larger by $50

→ That means the difference between his shares is 50

[tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

The total sum of the money is $330


Related Questions

ab (3a-5b) equals to?

Answers

Answer:

3a^2b-5ab^2

Step-by-step explanation:

Answer:

3a²b-5ab²

Step-by-step explanation:

Distribution method:

ab (3a-5b) = 3a²b-5ab²

hcf and lcm of 120 and 180, shown your work

Answers

The HCM and LCM of 120 and 180 are 360.

What is HCF and LCM?

The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.

Given are two numbers as -

120 and 180

We can write 120 and 180 as -

120 = 2 x 2 x 2 x 3 x 5

180 = 2 x 2 x 3 x 3 x 5

HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60

Now, we can find LCM using the formula -

LCM(a, b) = (a x b)/HCF(a, b)

LCM(a, b) = (120 x 180)/60

LCM(a, b) = 2 x 180 = 360

Therefore, the HCM and LCM of 120 and 180 are 360.

To solve more questions on HCF and LCM, visit the link below-

https://brainly.com/question/20739723

#SPJ2

What will the first step look like in a substitution problem?

y=2x
x+y=9​

Answers

Answer:

x + 2x = 9

General Formulas and Concepts:

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.

We are given:

y = 2x

x + y = 9

Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.

x + 2x = 9

And we would solve from there.

where is plymoth rock

Answers

Answer:

If u mean plymouth rock then the answer is

Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.

Step-by-step explanation:

The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?

Answers

Answer:

Option (C)

Step-by-step explanation:

Option A.

Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]

From the table attached,

Ratio = [tex]\frac{6}{24}[/tex]

         = 1 : 4

Option B.

Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]

                                                            = 1 : 6

Option C.

Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]

                                                            = 1 : 3

Option D.

Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]

                                                            = 7 : 24

                                                            ≈ 1 : 3.43

Since, highest ratio means biggest fraction (with least denominator).

From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].

Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).

Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are

Answers

7 + 7 + x < 28
14 + x < 28
x < 14
The value of x is anything less than 14

The possible values of x are positive integers that are less than 14

The perimeter of a figure is the sum of all its sides.

A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,

perimeter  = 7 + 7 + x

perimeter < 28 feet

Therefore,

7 + 7 + x < 28

14 + x < 28

subtract 14 from both sides

14 - 14 + x < 28 - 14

x < 14

Therefore, the possible value of x are positive integers that are less than 14.

read more: https://brainly.com/question/11473110?referrer=searchResults

The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.

Answers

Answer:

5280

Step-by-step explanation:

I'm American and our system sucks but 1 mile is equal to 5280 feet

May I have brainliest please? :)

Answer:

I'm American and our system sucks but 1 mile is equal to 5280 feet

VERY URGENT WILL GIVE YOU 100 POINTS

Answers

    Answer:

11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13

Answer:

1. 11x

2.5x + 7

3. 5x +8

4. 8x + 9y

5. X + 8y +12

6. 12x + 3y

7. 10a + 7b + 4

8. 19a + 11

9. a + 16b + 10

10. 13a + 9b * 11

11. 12a + 2b + 24

12. 4a + 3b + 1

13. 8x + 6

14. 4x + 27

15. 11x + 20

16. 11x + 8y

17. 5x + 3y + 18

18. 7x + 15y + 30

19. 7x + 7y

20. 5x + 10y + 33

21. 2x + 7y + 37

22. 9x + 7y + 9

23. 6x + 8

24. 8x + 13

Help me pls
Steve earns $1575 a month.
Below is his monthly budget:
.3/5 of his budget is for rent and utilities
.1/3 of his income is for food and other expenses
. The rest will go into Steve's savings account
How much money will Steve put into his savings account each month?

Answers

3/5 of his budget= $945

1/3 of his budget = $525

$105 will go into his savings because

$1575 - (945 + $525) = $105

Help me please. I’m trying very hard.

Answers

Answer:

27/3

Step-by-step explanation:

50-(18+5)= 27

27/3

Based on what you see here, what is the domain of this function?*
Your answer
This is a required question

Answers

Answer:

Domain seems to be all real numbers.

Step-by-step explanation:

Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.

5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2

Answers

Answer:

5+5

Step-by-step explanation:

5+5 and 2+2+2+2+2

two fives equal ten and five twos equal ten.

HELP PLEASE ILL GIVE U 50 POINTS​

Answers

Answer:

6x^2+2x

Step-by-step explanation:

Answer:

area of rectangle=2x×(3x+1)=6x²+2x

18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25

Answers

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]

__________________

21-

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]

_________________

22-

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]

_________________

23-

[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]

An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr

True
False

Answers

Answer:

Step-by-step explanation:

152.2 miles /2.5 hours= 60.88 mph so false.

check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.

12x² + 8x = 0
What are the zeroes?

Answers

Answer:

The zeros are at 0 and -2/3

A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?

Answers

Answer:

18 / 6 = 3

The scale is 1:3

3 * 4.5 = 13.5

13.5 * 18 = 243 square feet

The answer is 243 square feet.

Step-by-step explanation:

Hope this helped!

a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven​

Answers

Answer:

0.32x + 60= y

Step-by-step explanation:

The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).

Answers

Answer:

f ≥ 35

Step-by-step explanation:

Took the test on Aleks, it was right! :)

Solve for t in the equation

Answers

Answer:

t=1/5=0.2

Step-by-step explanation:

(5t+3)/4=1

5t+3=4

5t=1

t=1/5=0.2

Answer:

1/5

Step-by-step explanation:

5t+3/4=1

5t+3=1*4

5t+3=4

5t=4-3

5t=1

t=1/5

what is halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

5.31 5.32 5.33 5.34 5.35

The answer will be 5.35

i need help. it’s due tonight.thank you

Answers

Answer:28

Step-by-step explanation:

T7 = 35 hope this helps

Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases

Answers

Answer:

pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw

Can you put a better picture ?

A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees

Answers

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          [tex]=\frac{360}{10}=36degree[/tex]

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

Learn more:

https://brainly.com/question/9549251


2x+7=19 solving two-step equations

Answers

Answer:

x=6

Step-by-step explanation:

divide each term by 2 then simplify

Answer:

6

Step-by-step explanation:

First what you do is you subtract 7 from both sides to get 2x by itself.

2x + 7 - 7 = 19 - 7

2x = 12

Then you divide 2 from both sides to get x by itself.

2x/2 = 12/2

x = 6

Your answer is then x = 6.

How do I solve 4x+23>-21

Answers

Answer:

Inequality Form:

x>-11

Step-by-step explanation:

Interval Notation:

(-11,\infty )

Answer:

Step-by-step explanation:

4x + 23 > -21

4x > -21 -23  (moving 23 to the right side of equation changes the +23 to  -23

4x > -44  (adding -21 to -23)

x > -11  (dividing both sides of equation by 4, this keeps the equation the same

Solution:  x > -11  (x is greater than negative 11)

Help will give a crown!!

Answers

Answer:

okay

Step-by-step explanation:

1) Each side length is 12

2) Each side length is 2

Identify the hypotenuse.

A. MN
B. LN​

Answers

Answer:

The hypotenuse is line segment MN.

Step-by-step explanation:

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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Answers

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.

Answers

Total slices required for children,

[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .

Total slices required for adults,

[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]

So, total slices required are, 20 + 80 = 100 .

Number of pizza, n = 100/8 = 12.5

So, he has to order 13 pizza cause pizza cannot be purchased in fraction.

Total price, P = 13 × 9 = $117 .

Hence, this is the required solution.

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