A sum of money is to be divided among Paul, John And Mary in the ratio 2:3:7 respectively. If Mary received $350 more than John. Determine to the nearest whole number, the total sum of money that was shared.

Answers

Answer 1

Answer:

$1050

Step-by-step explanation:

1=87.5

total is 12

Answer 2
1050 is the correct answer your welcome have a nice day !

Related Questions

Delvin is 14 years old. His age is 2 times his brothers age plus 6. Write an
equation then solve to find the value of b, Delvin's brothers age. *

2b - 6 = 14b = 10

2b + 6 = 14 b = 4

2b - 14 = 6 b = 10

Answers

Answer:

2b+6=14, b=4

Step-by-step explanation:

maths

y varies directly with x. If x= 1 and y = 0.25 what is y if x = 9
Type your answer...

Answers

Answer:

y=2.25

Step-by-step explanation:

0.25x9=2.25

The product of t and 6 is greater than 12

Answers

Answer:

A possible answer for t could be 3

Step-by-step explanation:

I honestly don't know if this is right, but yeah here ya go!

All values of t which are greater than 2 , are the solutions of given inequality.

Inequality :

It is given that,

The product of t and 6 is greater than 12.

So that, inequality is,

                    [tex]6*t > 12[/tex]

Divide both side by 6.

                 [tex]6*t > 12\\\\t > \frac{12}{6} \\\\t > 2[/tex]

Therefore, all values of t which are greater than 2 , are the solutions of given inequality.

Learn more about the inequality here:

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For an end-of-year party, Ms. Wilson purchased 98 stickers and 56 lollipops. Each student will receive an equal number of stickers and an equal number of lollipops. There will be no stickers or lollipops leftover.

Based on this information, what is the greatest number of students that Ms. Wilson can have in her class?

Answers

Answer:

14 i think

Step-by-step explanation:

tbh, just guess and check

98/7=14 each student gets 7 stickers

56/14=4 each student gets 4 lollipops

there are 14 students.

Help hep help hep plz plz plz

Answers

Answer:

w=4

Step-by-step explanation:

PLEASE HELP ME I DONT UNDERSTAND

Answers

Answer:

[tex]d=4\sqrt{5}[/tex]

Step-by-step explanation:

Write down both endpoint coordinate points:

[tex](-5,-3)(-1,5)[/tex]

Use the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]

Insert values:

[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]

Simplify parentheses:

[tex]d=\sqrt{(4)^2+(8)^2}[/tex]

Simplify exponents:

[tex]d=\sqrt{16+64}[/tex]

Add:

[tex]d=\sqrt{80}[/tex]

Find the square root. Find multiples of 80 that are perfect squares:

[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]

[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]

:Done

Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

Answers

Answer:

[tex]d = 3\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point A (2, -1)

Point B (-4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]:                    [tex]d = \sqrt{(-4-2)^2+(2+1)^2}[/tex]Subtract/Add:                       [tex]d = \sqrt{(-6)^2+(3)^2}[/tex]Exponents:                           [tex]d = \sqrt{36+9}[/tex]Add:                                      [tex]d = \sqrt{45}[/tex]Simplify:                               [tex]d = 3\sqrt{5}[/tex]

Sylvia and Patrick plotted the information they gathered on the weight of cars and the mileage they get. Then they each drew a line on the graph that they felt best fit the data. Sylvia’s line is a line of best fit because her line is close to most of the data points . Patrick’s line is not a line of best fit as his line does not fit the data points exactly .

Answers

Answer:

Sylvia’s line is a line of best fit because her line is close to most of the data points. Patrick’s line is not a line of best fit as his line is not close enough to all the data points.

.Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.​

Answers

Answer:

Part 1

The drawing of the quadrilateral is included here

Part 2

The area of the quadrilateral is 60.5 unit²

Step-by-step explanation:

Part 1

Please find attached the given drawing of the quadrilateral created with Microsoft Excel

Part 2

The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE

The height of the trapezium, h₁ = 4 units

For segment BC, we have;

The slope = (-5 - (-2))/(5 - (-4)) = -1/3

The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)

Which gives;

y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3

The y-intercept is (0, -10/3)

The lengths of the opposite parallel sides of the trapezium AECD are;

a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3

The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²

The height of triangle

The area of ABE, h₂ = 5

The base of triangle ABE = b = 31/3

The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²

The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE

∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².

1. If an item is discounted 20%, the sale price is what percent of the original price?

2. If the original price of the item is $400, what is the dollar amount of the discount?

3. How much is the sales price?

Answers

Answer:

1. it would be 80% of the original price

2.400×.20=$80

80 dollars would be the amount you would discount from the original price.

3.the sales price is $320

400-80=320

Step-by-step explanation:

Hope this helped :)

also hi!

which ratio is same as 2/3

Answers

6:15:2 is the same as 2:3

The ratio 4/6 is the same as 2/3 because they have the same proportion.

To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.

1. Multiplying by the same number:

  If you multiply both the numerator and the denominator of 2/3 by 2, you get:

= (2 × 2) / (3 × 2)

= 4/6

So, the ratio 4/6 is the same as 2/3.

2. Dividing by the same number:

  Divide both the numerator and the denominator of 2/3 by 3, you get:

= (2 ÷ 3) / (3 ÷ 3)

= 2/3

So, the ratio 2/3 remains the same.

In conclusion, the ratio 4/6 is the same as 2/3.

Learn more about Ratio here:

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I climbed 775 steps in 12 1/2 seconds


how many steps did i average climb per minute?

Answers

Answer:

3720

Step-by-step explanation:

60/12 1/2

*775

Answer:

Per minute is 3720 steps.

Step-by-step explanation:

60 divided by 12.5 = 4.8

4.8 times 775 = 3720

Una casa de dos plantas esta construida en un terreno rectangular de 66m² , tal como lo muestra los siguientes pasos si x es el frente de la casa y x+5 el largo. De la ecuacion cuadratica que define el area del terreno es x² + 5x-66=0 ¿Cuanto mide el frente de la casa?

Answers

Answer:

El frente de la casa es 6 metros.

Step-by-step explanation:

El area de la casa está dada por el área de un rectángulo:

[tex]A = f*l = x (x+5) = 66[/tex]

En donde f es el frente = x , l es el largo = x+5 y A es el área = 66m²

Si la ecuación cuadrática que define el área del terreno viene dado por:

[tex] x^{2} + 5x - 66 = 0 [/tex]          

Resolviendo la ecuación cuadrática para x tenemos:

x₁ = -11 y x₂ = 6                                

Tomando el valor positivo, podemos decir que el frente de la casa es 6 metros.

Espero que te sea de utilidad!                              

rewrite the equation in standard form

Answers

Answer:

The answer is D.

Step-by-step explanation:

sooo UwU which becomes O////O then becomes T.T

4 A nurse is administering pain medication to
a patient. The patient's chart says that
the patient received 650 milligrams of
medication yesterday, and today he is to
receive 75% less medication than he did
yesterday. How many milligrams of pain

Someone please answer and justify thanks :)
medication should the nurse administer to
the patient today?
F 162.5 milligrams
G 262.5 milligrams
H 487.5 milligrams
J 575.0 milligrams

Answers

The nurse should administer to the patient H. 487.5 miligrams

What is -4 1/2 as a decimal?

Answers

Answer: -4.5

Step-by-step explanation:

Rewrite using radicals

Answers

Answer:

√7; ∛13²; ⁵√x³; and the last is b root of m to the power of a

Step-by-step explanation:

When you take a number to the power of a fraction, you write it as the root of the denominator to the power of the numerator.  The denominator is the bottom number and the numerator is the top number.  

A student is trying to solve the system of two equations given below:

Equation P: y + z = 6
Equation Q: 3y + 4z = 1

Which of the following is a possible step used in eliminating the y-term?

Answers

Answer:

Step-by-step explanation:

one step can be multiply equation P by -3 and add it to the equation Q

NEED HELP ASAPPP!!
A sales promotion for Christmas is advertising all PS5 games for $45.25 per game, up to 6 games, with a $10 subscription fee. The total cost, y, for x number of PS5 games can be modeled by a linear function.

What is the range of the function for this situation?
A. {0,1, 2, 3, 4, 5, 6}

B. {0,55.25, 100.50, 145.75, 191.00, 236.25, 281.50}

C. 0 ≤ y ≤ 281.50

D. 0 ≤ x ≤ 6

Answers

Answer:

0 ≤ y ≤ 281.50

Step-by-step explanation:

i did the math

Yo can somebody please help me with this math problem !

Answers

Answer:

45

Step-by-step explanation:

this question was asked three times by the same account and I detailed the answer on the first

please answer!
The equation d = 30 − 60h gives the distance d in miles that a bus is from the station h hours after leaving an arena. How far is the station from the arena?

A. 0.5 miles

B. 120 miles

C. 30 miles

D. 60 miles

Answers

Amswer

it is b Step-by-step explanation:

in (1,8) is y greater than x + 5

Answers

Answer:

True.

Step-by-step explanation:

Note the point values: (x , y) = (1 , 8) ∴ x = 1, y = 8

Plug in the corresponding numbers to the corresponding variables in the equation:

y > x + 5

(8) > (1) + 5

8 > 1 + 5

8 > 6

8 is greater than 6, ∴ y is greater than x + 5.

~

Answer:

yes it would

Step-by-step explanation:

x=1 + 5 is six

y=8

8 > 6

8 > 1

i think that's right lol

How much interest would $4000 earn in one year at a rate of 3.2%?

Answers

Answer: 128$

Explanation:

I = P x R
I = 4000 x 3.2/100
I = 128$

I need Help Pleaseeee

Answers

Answer:

m∠C = 54°, m∠CDB = 100°

Step-by-step explanation:

in ΔABC, m∠A= 37° and m∠B = 89°

The sum of all 3 angles in any triangle is 180° so

m∠C = 180-37-89 = 54°

m∠CDB = 180-80 = 100° because any line has a 180°angle

how do you solve -3 + 5 +6g =11 - 3g?

Answers

Add -3 +5 u get 2
the add 3g to 6g to get 9g
then u have 2+9g=11
subtract 2 to both sides u get 9g=9
divide 9 u get 1=g hope I helped

Final Answer: [tex]g = 1[/tex]

Steps/Reasons/Explanation:

Question: How do you solve [tex]-3 + 5 +6g = 11 - 3g?[/tex]

Step 1: Simplify [tex]-3 + 5 + 6g[/tex] to [tex]6g + 2[/tex].

[tex]6g + 2 = 11 - 3g[/tex]

Step 2: Subtract [tex]2[/tex] from both sides.

[tex]6g = 11 - 3g - 2[/tex]

Step 3: Simplify [tex]11 - 3g - 2[/tex] to [tex]-3g + 9[/tex].

[tex]6g = -3g + 9[/tex]

Step 4: Add [tex]3g[/tex] to both sides.

[tex]6g + 3g = 9[/tex]

Step 5: Simplify [tex]6g + 3g[/tex] to [tex]9g[/tex].

[tex]9g = 9[/tex]

Step 6: Divide both sides by [tex]9[/tex].

[tex]g = 1[/tex]

~I hope I helped you :)~

Help me plssss!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

the 0.1 is rate of change decreasing and 10.1 is original amount

A local animal shelter has 600 cats and dogs. There are 2 times more cats than dogs. Let x represent the number of cats and let y represent the number of dogs. Which system of equations represents this situation?

Answers

Answer:

2x + y = 600

Step-by-step explanation

Answer:

1,200x + 600y or 2x + y= 600

Step-by-step explanation:

knowing that there are 600 cats and 2 times the amount of cats we will have 1,200 cats which is 1,200x + 600y

Which number is the additive inverse of -5?

Answers

Answer:

5

Step-by-step explanation:

Because -5 is a negative number and the opposite of negative is positive and 5 is positive.

Final Answer: [tex]5[/tex]

Steps/Reasons/Explanation:

Write down [tex]-5 + x = 0[/tex] because this is our equation with [tex]-5[/tex] plugged in to get an additive inverse. We will have to add [tex]5[/tex] to both sides. This means our additive inverse is positive [tex]5[/tex].

Question: Which number is the additive inverse of [tex]-5[/tex]?

[tex]-5 + x = 0[/tex]

Step 1: Regroup terms.

[tex]x - 5 = 0[/tex]

Step 2: Add [tex]5[/tex] to both sides.

[tex]x = 5[/tex]

~I hope I helped you :)~

How many baby's does it take to paint a wall​

Answers

Answer:

12 I think?

Step-by-step explanation:

The answer to the famous joke is "It depends on how hard you throw them." It's important to note that this joke is dark humor and can be considered offensive or inappropriate.

It plays on a shocking and insensitive idea, which is why it's not suitable for all audiences. Jokes like this should be used with extreme caution, as they can cause discomfort or distress to others.

Humor should be inclusive and respectful of everyone's feelings and sensitivities. While jokes can be a form of entertainment, it's essential to choose them wisely and be mindful of their potential impact on others. In most social settings, it's best to avoid jokes that involve sensitive subjects or potentially harmful content.

To know more about dark humor, click here.

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------------The given question is incomplete, the complete question is:

"What is the answer to the famous joke, "How many babies does it take to paint a wall?"---------------

the two lines graphed on the coordinate grid each responds an equation witch orderd pairs represents a solution to both equations

Answers

Answer:

Step-by-step explanation:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships.

You can use a coordinate plane to plot points and to map various relationships, such as the relationship between an object’s distance and the elapsed time. Many mathematical relationships are linear relationships. Let’s look at what a linear relationship is.

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