Sandy and Steve share some prize money in the ratio 4:3. The prize money totaled $1400 How much

does Sandy receive ?

Answers

Answer 1

Answer:

Sandy will receive $800

Steve will receive $600

Step-by-step explanation:

Sandy : Steve = 4 : 3

Sandy = 4

Steve = 3

Total ratio = 4 + 3 = 7

Total prize money = $1400

How much does Sandy receive ?

Sandy's share = Sandy's ratio / total ratio × Total prize money

= 4 / 7 × 1400

= 4 × 200

= $800

Sandy will receive $800 out of $1400

Steve's share = Steve's ratio / total ratio × Total prize money

= 3 / 7 × $1400

= 3 × $200

= $600

Steve will receive $600 out of $1400

Check:

Sandy's share + Steve's share

= $800 + $600

= $1400


Related Questions

help with a and describe

Answers

Answer:

1

Step-by-step explanation:

Simply plug in 0 for x:

g(0) = 5x + 1

g(0) = 5(0) + 1

g(0) = 1

What is the quotient of 8,595 ÷ 24?
a. 334 R 3
b. 334 R 7
c. 358 R 3
d. 358 R 7
help please! and fast.

Answers

Answer:

358.125

Step-by-step explanation:

Your welcome!

Your school’s football team scored 49 points. Your team’s score was 19 points more than the opponent’s score s. Write and solve an equation to find the opponent’s score.

Answers

Answer:

30

Step-by-step explanation:

Well its pretty simple just take 19-49 unless its for something else all i knew was that its 19-49= 30

16x^2-1=0
help algebra 2

Answers

Answer:

16x²=1

x²=1/16

x=√(1/16)

x=+- (1/4)

Multiply 60 x 0.75. Please help me.

Answers

The answer to 60 x 0.75 is 45

Answer:

45

Step-by-step explanation:

Multiply

0.75 x 60

The flagpole is 20 ft high and casts an 8 foot shadow, the oak tree casts a 12 foot shadow. How tall is the oak tree?

Answers

Answer:

30 FEET TALL

Step-by-step explanation:

Answer: 30 ft

Step-by-step explanation:

Set up a proportional equation to solve for how tall the oak tree will be.

[tex]\frac{20}{8} = \frac{x}{12}[/tex]    cross product

8x = 240

x= 30

please help me please

Answers

Answer:

3

Step-by-step explanation:

it is 3 becasue it is the opposite of -3

what is y=80.9x-1011.86 in standard form?

Answers

Answer:

 50593

Step-by-step explanation:

Find the 10th term of a geometric sequence if a1=5 and the common ratio r=2


Answers

Answer:

The 10th term of the GP is 2560.

Step-by-step explanation:

It is given that,

The first term of the GP, a = 5

Common ratio, r = 2

We need to find the 10th term of the GP. The nth term of a GP is given by :

[tex]T_n=ar^{n-1}[/tex]

Put n = 10

[tex]T_{10}=5\times 2^{10-1}\\\\T_{10}=2560[/tex]

So, the 10th term of the GP is 2560.

(4 - 7m) - (-n + 2m - 1) pls helppp

Answers

Step-by-step explanation:

4 - 7m + n - 2m + 1

5 + 5m + n

i think is complicated

There are a total of 24
girls who are going to
camp. If 4 girls are
assigned to each cabin,
how many cabins will be
needed?

Answers

Answer: the answer is six cabins

Step-by-step explanation: if you divide 24 by 4 you end up with 6

Answer:

6 cabins will be required

Step-by-step explanation:

No. of girls=24

No. of girls in each cabin=4

No. of cabins=24/4=6

mike, dave and john worked for a total of 56 hours. Dave worked 6 more than 4 times as many hours as mike. John worked 6 less than 3 times as many hours as Mike. How long did Dave work?

Answers

Answer:

1. Dave worked for 34 hours.

2. Perimeter of the rectangle is 172 cm.

Step-by-step explanation:

1. Determination of the hours Dave worked.

Let D represent Dave.

Let M represent Mike.

Let J represent John.

Tota time worked by Dave, Mike and John is 56 hours. This can be written as:

D + M + J = 56 ..... (1)

Dave worked 6 more than 4 times as many hours as Mike. This can written as:

D = 6 + 4M .....(2)

John worked 6 less than 3 times as many hours as Mike. This can be written as:

J = 3M – 6 ........ (3)

Substituting the value of F and J into equation 1, we have:

D + M + J = 56

D = 6 + 4M

J = 3M – 6

6 + 4M + M + 3M – 6 = 56

6 – 6 + 4M + M + 3M = 56

8M = 56

Divide both side by 8

M = 56/8

M = 7

Substitute the value of M into equation (2) to obtain the value of D.

D = 6 + 4M

M = 7

D = 6 + 4(7)

D = 6 + 28

D = 34

Therefore, Dave worked for 34 hours .

2. Determination of the perimeter.

Length (L) = 64 cm

Width (W) = 22 cm

Perimeter (P) =?

P = 2(L + W)

P = 2 (64 + 22)

P = 2 (86)

P = 172 cm

Therefore, the perimeter of the rectangle is 172 cm

Which sources are reliable? Check all that apply. a National Oceanic and Atmospheric Administration article discussing Pacific bluetin tuna population numbers a high school student's blog discussing sources of biofuel an advertisement for a protein drink in Exercise magazine a study describing clinical trials of a new medication in the Journal or Medemal Chemistry an entry about the mating habits of snow leopards that can be edited by the general public​

Answers

answer:a National Oceanic and Atmospheric Administration article discussing Pacific bluefin tuna population numbers

a study describing clinical trials of a new medication in the Journal of Medicinal Chemistry

Step-by-step explanation:

i did it

The solution is: A.an article discussing mineral resources written by the United States Geological Survey, sources are reliable.

The correct answer will be options-A and C.

What is research?

Research is a process of systematic inquiry that entails collection of data; documentation of critical information; and analysis and interpretation of that data/information, in accordance with suitable methodologies set by specific professional fields and academic disciplines.

Explanation:

The research on any question starts with a "review of literature study" which helps gain the knowledge related to the aspect of the hypothesis one is studying.

The sources reviewed by the researcher must follow certain criteria to be cited like:

1. The research should be done by any governmental organisation, research institutes and affiliated universities.

2. The research paper should posses results checked and verified by the peer fellows like by the peer-review of journals.

3. The research should not be edited any general magazines, advertisements and any other unauthorized organizations.

Thus, option-A and C are the correct answer.

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complete question;

Which sources are reliable? Check all that apply.

A.an article discussing mineral resources written by the United States Geological Survey

B.a blog discussing sources of alternate energy written by a high school student

an advertisement for guided hikes and tours in Camping magazine

C.a study describing clinical trials of a new medication in the Journal of Medicinal Chemistry

D.an entry about common uses of metals in an encyclopedia that can be edited by the general public

Se quiere diseñar la bandera de un colegio el cual debe tener 1 animal, 1 color de fondo y una palabra representativa. La cantidad de colores que se pueden escoger son 8, la cantidad de animales son 13 y la cantidad de palabras son 9, ¿cuántas banderas es posible diseñar?

Answers

Answer:

Es posible diseñar 936 banderas.

Step-by-step explanation:

Para poder determinar la cantidad de banderas que es posible diseñar utilizando 1 animal, 1 color de fondo y 1 palabra representativa de un total de 8 colores, 13 animales y 9 palabras, se debe multiplicar la cantidad total de variables, y su resultado será la cantidad de banderas que se podrán diseñar.

Así, deben multiplicarse 8 x 13 x 9, es decir, el total de colores, animales y palabras. Esta multiplicación da como resultado 936, con lo cual es posible diseñar 936 banderas diferentes.

What the of x is in 3x+5=12

Answers

Answer: 2.333

Step-by-step explanation:

Subtract 5 from both sides of equation

Divide each side of equation by 3

Why is it important to have all parts of a graph clearly labeled and drawn

Answers

Answer:

A graph has to be clearly labelled and drawn for clarity and to aid the correct interpretation of the data shown on the graph.

a parent volunteer group is raising money by making custom hats to sell at school activities.they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.


use n to represent the number of hats they sell. multiply this money by the money for each hat, then subtract that form the advertising cost.

which expression represents the money that the group raised

Answers

Answer:

Money raised($)= 6n-50

Step-by-step explanation:

they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.

If their are no number of hats

Cost = 50+4n

Money gotten from the n number of hats= 10(n)

If they are to make profit, the money gotten from the sales of hats should be bigger than the total cost

Money raised = money from sales- cost

Money raised= 10n -4n-50

Money raised($)= 6n-50

The answer is (10-4)n-50

You subtract the amount of money used to make the hat from the price they are selling the hats. You then multiply that by the number of hats they sold. Then you subtract that from the amount of money spent on advertisement. Therefore the answer is (10 - 4) n - 50


Solve for x
y=7(x+a)

Answers

Answe should be:

y = 7x + 7a

Hoped it Helped !!

Stanley says, "If a point is not on a line, then the line and the point exist on exactly one plane." If the point IS on the line, how would his statement need to be changed? Thank you!

Answers

Answer:

If the point IS on the line, then the point and the line exist on an infinite number of planes.

Step-by-step explanation:

If the point IS on the line, then the point and the line exist on an infinite number of planes.

if the point is on the line

Write the equation 9y=12x+0.2 in standard form identify A B C

Answers

Standard form: Ax+By=C
9y=12x+0.2
-12x+9y=0.2
12x-9y=-0.2
A=12
B=-9
C=-0.2

Answer:

60x-45y=-1

A = 60

B = -45

C =-1

Step-by-step explanation:

[tex]9y=12x+0.2\\Re-write\:0.2\:as\:1/5-12x =-9y+\frac{1}{5} \\\\Multiply\:all \:terms \:by\:-1\\-1(-12x=-9y+1/5)\\\\12x =9y-\frac{1}{5} \\\\Multiply\: through\: by \:5\\5(12x =9y - \frac{1}{5} )\\\\60x = 45y -1\\\\60x-45y =-1[/tex]

How to calculate this?

4^3÷(3/4)^3

Answers

Answer:

27

Step-by-step explanation:

4^3 is 4*4*4 which is 64

3/4^3 is 3/4*3/4*3/4 which is 27/64

then divide 64 ÷ 27/64

you can cross cancel 64 and get 27.

Help me with a ASAP plz and explain

Answers

(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1

(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13

(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42

(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11

How many quarts of pure antifreeze must be added to 2 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution

Answers

Answer:

x: 1/4=0.25 quarts of 100% antifreeze

Hope this helps

In the​ 2009-2010 school year in country​ A, there were 115,000 foreign students from country B. This number is ​22% more than the number of students from country C. How many foreign students were from country​ C?

Answers

Answer:

522727.27

Step-by-step explanation:

115000/0.22

Clare has 8 fewer books than Mai. if mai has 26 books how many books does has Clara have?

Answers

Answer:

18

Step-by-step explanation:

The number of books with Clara is given by the equation C = 18 books

What do you mean by an Equation?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the number of books with Clara be represented as C

Let the number of books with Mai be represented as M

And , Clara has 8 fewer books than Mai

So , the equation is

C = M - 8   be equation (1)

The number of books with Mai , M = 26 books

Now , when M = 26 books

On simplifying , we get

C = 26 - 8

C = 18 books

Therefore , the value of C is 18 books

Hence , the number of books with Clara is 18 books

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What is 8.038×108 in standard form?

Answers

Answer:

The answer is: 803,800,000

Step-by-step explanation:

None

It was guessed, and I got it right.

What is the approximate value for 83 divided 5 ?

Answers

83 divided by 5 is 16.6 if you need to round that, the answer would be 17

The quotient of the equation when A = 83/5 = 16.6

Given data ,

Let the quotient of the expression be represented as A

Now , the value of A is

Let the first number be represented as p

Now , the value of p = 83

Let the second number be represented as q

Now , the value of q = 5

where A = p/q

On simplifying the equation , we get

A = 83 / 5

A = 16.6

Therefore , the quotient of the expression is A = 16.6

Hence , the expression is A = 16.6

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Find the area of the triangle with vertices: Q(4,4,-1), R(5,7,-2), S(3,2,-4).

Answers

Answer:

The area of the triangle is 5.875 square units.

Step-by-step explanation:

First, we need to calculate the lengths of the triangle by means of Pythagorean Theorem:

[tex]a = \|\overrightarrow {QR}\| = \sqrt{(5-4)^{2}+(7-4)^{2}+(-2+1)^{2}}[/tex]

[tex]a \approx 3.317[/tex]

[tex]b = \|\overrightarrow {RS}\| = \sqrt{(3-5)^{2}+(2-7)^{2}+(-4+2)^{2}}[/tex]

[tex]b \approx 5.745[/tex]

[tex]c = \|\overrightarrow {QS}\| = \sqrt{(3-4)^{2}+(2-4)^{2}+(-4+1)^{2}}[/tex]

[tex]c \approx 3.742[/tex]

Now, we can use the following formula to fid the area of the triangle ([tex]A[/tex]), measured in square units:

[tex]A = \sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}[/tex]

Where:

[tex]s[/tex] - Semiperimeter of the triangle, dimensionless.

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Sides of the triangle, dimensionless.

The semiperimeter can be determined by this:

[tex]s = \frac{a+b+c}{2}[/tex]

If we know that [tex]a \approx 3.317[/tex], [tex]b \approx 5.745[/tex] and [tex]c \approx 3.742[/tex], the area of the triangle is:

[tex]s = \frac{3.317+5.745+3.742}{2}[/tex]

[tex]s = 6.402[/tex]

[tex]A = \sqrt{(6.402)\cdot (6.402-3.317)\cdot (6.402-5.745)\cdot (6.402-3.742)}[/tex]

[tex]A \approx 5.875[/tex]

The area of the triangle is 5.875 square units.

939miles * 15gallons / 40miles = x

Answers

Answer: 281.7

Step-by-step explanation:

31.14
A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing
process. The table below displays the possible problems and frequency for each.
Frequency
4
2
Soap Problems
Underweight
Impurities
Broken bar
None
Total
3
91
100
If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?
O They would expect 100 bars to be broken.
They would expect 150 bars to be broken.
They would expect 300 bars to be broken.
They would’ve many bars would they expect to be broken
expect 450 bars to be broken.
Save and Exit
Next
Submar
Mark this and


Answers

Answer:

B. 150 bars to be broken

Answer:

They would expect 150 bars to be broken.

Step-by-step explanation:

Correct on Edge2020

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Can someone please help me with these questions!!!!!! - Maya is playing golf. On her first two holes,she scored one under par then six over par.Find her score after the first two holes. Let G be the garvitational constant and R be the radius of earth. If the radius of the earth becomes half, the new value of gravitational constant will be twelve thousand four hundred three in standard form As the operations manager for American Airlines you have decided to invest in 10 new jets for the company's fleet. There are three outcomes for this investment. What is the expected return on investment using the information below? Outcome Probability Return 1. .50 .15 2. .30 .25 3. .20 .10 Make sure your answer is in decimal format (.30, .40, etc.) and not a percentage. Round to the nearest hundredth place (i.e. .264 -> .26) if necessary. 8 A television show uses 15 minutes of every hour for commercials, leavingthe remaining 45 minutes for the actual show. Which ratio below representsthe commercial minutes to the show minutes?A1: 4B 4:1C1:3D3:1 if 12 boxes of soap weigh 2.4 kg what will be the weight of 8 boxes of the same kind of soap The scale of this map is 1 inch = 50 miles. How many miles is Mackinac Bridge from Milwaukee? The distance on the map between the two is 4 inches. 34 187 200 147 If f(x) = 4x - 7 and g(x) = 3x + 9 find (f+g) (5) evaluate (4x+1)(4x-1)when x=-3 Did the enzymes from Claire's small intestine break down theprotein at a low, normal or high rate? 28) Solve the formula for g Defined as variation of life on Earth, ____________ is the number and relative abundance of different species. Which statement describes the effect on the parabola f(x) = 2x2 5x + 3 when it is changed to f (x) = 2x2 5x + 1?A. The parabola is translated up 1 unitB. The parabola is translated up 2 units.O C. The parabola is translated down l unit.OD. The parabola is translated down 2 units. Let F_1 = (10,2) and F_ 2= (-16,2). Then the set of points P such that |PF_1 - PF_2| = 24 form a hyperbola. The equation of this hyperbola can be written as ((x-h)^2)/a^2-((y-k)^2)/b^2=1 Find h + k + a + b. Two consecutive even integers add up to 1594. what are the two numbers? Fill in the blank to make the equation true: []+37=15 -5(4x-2) = -2(3+6x)what is the answer and how do you get it Calculate the mass in grams of 8.35 1022 molecules of CBr4. Students in a science class placed ice cubes in a cup. They were studying variables that affected how long it takes theice to melt. Select the variable that would most likely NOT affect the time it takes the ice to melt.