two partners divide a profit of $2,000 so that's a difference between the two amounts is half of their average. what is the ratio of the larger to the smaller amount?

Answers

Answer 1

Answer:

5/3

Step-by-step explanation:

The partners have a total profit of $2000. Since there are only 2 partners, then the average profit each one makes is $2000/2 = $1000.

The difference between the 2 amounts is half of the average, so it is $1000/2 = $500.

One amount is x.

The other amount is x + 500

The sum is 2000

x + x + 500 = 2000

2x + 500 = 2000

2x = 1500

x = 750

x + 500 = 750 + 500 = 1250

The partners had profit of $1250 and $750.

The ratio is 1250/750 = 125/75 = 5/3

Answer: 5/3

Answer 2

The ratio of the larger to the smaller amount will be 5 : 3

What are ratios?

A ratio says how much of one thing there is compared to another thing. We can write the ratio as -

x : y

{x/y} = k

x = ky

[k] is called the scale factor.

Given is that two partners divide a profit of $2,000 so that's a difference between the two amounts is half of their average.

Assume that the amount with partner [1] is $[x] and with partner [2] is $[y]

. So, we can write according to the question as -

x + y = 2000      ......Eq [1]

x - y = {1/2 x (x + y)/2}     ......Eq [2]

Now -

x - y = {1/2 x (2000/2)}

x - y = {1/2 x 1000}

x - y = 500

x = 500 + y

So, we can write the equation [1] as -

x + y = 2000

500 + y + y = 2000

2y = 1500

y = 750

So, [x] will be equivalent to -

x = 2000 - 750

x = 1250

The ratio of the larger to the smaller amount will be -

x/y = 1250/750 = 250/150 = 50/30 = 5/3

Therefore, the ratio of the larger to the smaller amount will be 5 : 3.

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Related Questions

DUE TODAY PLEASE HELP!!!!!!!!!!!!!
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

cost=_____________+__________x monthly payment
_________+___+____x_________
________=_________
Why are both multiplication and addition used in the equation that represents Cole’s monthly payments?_____________________________

Answers

Answer:

Step-by-step explanation:

$335-$50 = $285

p = $285/(6 payments) = $47.50/payment

Marco's height is 63 inches. Marco's height is 3 inches less than 1.5 times Jennifer's height. What is Jennifer's height in inches? 40 in. B 44 in. C 64.5 in. D 58.5 in.​

Answers

Answer:

B.  44 in.

Step-by-step explanation:

Let Jennifer's height be x  inches, then:

1.5x - 3 = 63

1.5x = 66

x = 66/1.5

= 44 in.

find the commission earned or the rate of commission. Round money answers to the nearest tenth if necessary. Sells $420 Commission $31.50. I will mark brainliest. any answers on here that don't belong will be reported . ​

Answers

Answer:

7.5 %

Step-by-step explanation:

31.50/420 = 0.075 = 7.5 %

Answer:

7.5% commission

Step-by-step explanation:

420 x r = 31.50

420r = 31.50

r = 31.50/420

r = 0.075

multiply by 100 to get the percentage, = 7.5%

Part A: find the measure of x and y


Part B: choose the correct degree measure for arc JKL

Answers

Answer:

x = 7

y = 4

Arc JKL = 262°

Step-by-step explanation:

Find the diagram attached

Using the theorem;

Sum of opposite angle of the quadrilateral is 180°

7x+131 = 180

7x = 180-131

7x = 49°

x = 49/7

x = 7

Similarly;

11x+y+99 = 180°

11(7)+y+99 = 180°

77+99+y = 180

176+y = 180

y = 180-176

y = 4

arc JKL is the obtuse angle at the centre

Arc JKL = 360-(angle at the centre)

Angle at the centre is twice angle at the circumference.

Angle at the centre = 2(7x)

Angle at the centre = 2(49)

Angle at the centre = 98°

Arc JKL = 360-98

Arc JKL = 262°

1 point
Jerry sells a particular type of coin online. The amount he charges his
customers for the coins includes shipping. Jerry uses the equation shown
below to determine the total amount (y), in dollars, he will charge for x
coins. y = 32.95x + 12.95 A. How much does Jerry charge a customer for 10
coins?
y=32.95+12.95

Answers

Jerry charges a customer 21.93

Diego wrote 6/4 * 8/3 =48/4 .Explain what's Diego's mistakes was and how you know the equation is not true.

Answers

Look at the denominator. Diego did not multiply 4 times 3. He simply carried 4 into the product.

find the volume of a box (cube) whose each edge is 5 cm​

Answers

Answer:

Volume of cube = side*side*side = 5*5*5 = 125 cubic cm.

hope it helps you

f(x) = 350(1.68)x


Is it growth or decay?


What is the initial value?



What is the rate?

Answers

Answer:

Multiply 350 by 1.68.

f(x)=588x

decay

1.
Activity 1
Substitute each pair of coordinates to the
system of inequality below and tell whether
it is a Solution or Not Solution
2x + 5y < 10
3x - 4y = -8

a. (3,5)__________
b. (-2,-10)________
c. (5, -12)_________
d. (-6, -8)_________
e. (0,0)______​

Answers

Answer:

solution e. (0,0)______b. (-2,-10)_______c. (5, -12)__________of

2x + 5y < 10

what is 8/5 + 7/5
i would like to know

Answers

Answer:

3

Step-by-step explanation:

Answer:

15/5, or 3

Step-by-step explanation:

8/5 + 7/5

= 8+7/5

= 15/5

= 3

PLEASE MARK AS BRAINLIEST! <3

$20 in the ratio 3:7

Answers

3:7 = 10 (3+7)
20/10 = 2 (divide total by the parts)

3 x 2 = 6
7 x 2 = 14

In the ratio 3:7, 20 will be shared by 6 and 14

Hope this helps
Leave a like and brainliest

Sarah has $240 and she gives her mum $80 what fraction of the money does Sarah have left give the fraction in its simplest form

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

$240 - $80 = 160

[tex]\frac{160}{240} = \frac{2}{3}[/tex]

[tex]\frac{160 | 80}{240 | 80}[/tex] = 2/3

2/3! your welcome!! :)

explanation:
240-80=160 so
140/240 simplified= 2/3

Find the missing side of this right
triangle.
Х
7
14
x =

Answers

Answer:

Sqrt 245

Step-by-step explanation:

That's the answer

According to Pythagoras' Theorem

[tex]h^{2} = a^2 + b^2[/tex]

[tex]h^{2}[/tex]  [tex]= 7^{2} + 14^2[/tex]

[tex]h^{2}[/tex] = 49 + 196

h = [tex]\sqrt{245}[/tex]

According to diagram x = sqrt 245

What is Pythagoras' hypothesis?

Pythagorean hypothesis, the notable mathematical hypothesis that the amount of the squares on the legs of a right triangle is equivalent to the square on the hypotenuse (the side inverse the right point) — or, in recognizable logarithmic documentation, a2 + b2 = c2.

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Need help please

What are some similarities and differences of the Civil Rights Movement and the Black Lives Matter Movement?

Answers

Answer:

The black lives matter movement was a reason to tell the people that we are still all the same even though we don't have the same colored skin or aren't the same gender or we dont believe in the same beliefs.

Where as the civil rights movement was to clarify that blacks and whites males and females have the same rights.

One number is four more than a second number. Three times the first is 13 less than 2 times the second. Find the numbers

Answers

Answer:

11

Step-by-step explanation:

cuz i know lol

WILL MARK BRAINLIEST!! Mr. Brown uses a modern technological machine to till his lands and perform tasks that require high power. This machine has a GDP for navigation purposes and auto-steer systems that minimize Mr. Brown’s work on his field. Which machine is Mr. Brown using?

1. seed drill
2. combine harvester
3. GIS
4. tractor
5. electric motor

Answers

It is 2, I don’t specialize in this type of thing but based on logic, memory, and of course the web, I think it is combine harvester. Seed drill isn’t for tilling, Gis is to look at the geology of the land, a tractor just isn’t it and an electric motor by itself can’t do anything. Hope it helps and have a good /

Consider the equation x^2-x-20=0
NEED HELP ASAP!!! Will mark brainlyist

Answers

Will help you asap......

Answer:

x=−4 or x=5 This is the awnser to x^2-20=0

Which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
A.x = -2
B.x= 3
C.y=-8
D. y= 3x - 2

Answers

Answer:

Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.

Step-by-step explanation:

A grocery store sells a bag of 7 oranges for $2.80. What is the unit cost?

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

mark me as brilinist please

Answer:

.4

Step-by-step explanation:

2.80/7=.4

7 x 0.4 = 2.8

The sum of two numbers is __________ greater than either number.
a) Always
b) Sometimes
c) Never
d) Not enough information

Answers

A) Always because you’re adding them up

The correct answer is b) Sometimes.

Given that a statement,

"The sum of two numbers is __________ greater than either number."

We need to fill the blank from the options provided.

The sum of two numbers can be greater than either number depending on the specific values of the numbers.

Let's consider some examples:

Example 1: If we have two positive numbers, such as 3 and 4, their sum (3 + 4 = 7) is greater than either number individually.

Example 2: If we have one positive number and one negative number, such as 5 and -8, their sum (5 + (-8) = -3) is greater than -8 but less than 5.

Example 3: However, if we have two negative numbers, such as -2 and -4, their sum (-2 + (-4) = -6) is not greater than either number individually.

Therefore, since the statement holds true in some cases but not in others, the correct answer is sometimes (b).

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Simplify and please show working!
4x^2-25/2x^2-7x+5

Answers

Answer:

-17x2 - 14x + 10

 ————————————————

        2        

Step-by-step explanation:

STEP

1

:

           25

Simplify   ——

           2

Equation at the end of step

1

:

             25

 (((4•(x2))-(——•x2))-7x)+5

             2

STEP

2

:

Equation at the end of step 2

                 25x2            

 (((4 • (x2)) -  ————) -  7x) +  5

                  2              

STEP

3

:

Equation at the end of step

3

:

           25x2            

 ((22x2 -  ————) -  7x) +  5

            2              

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

            22x2     22x2 • 2

    22x2 =  ————  =  ————————

             1          2    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

22x2 • 2 - (25x2)      -17x2

—————————————————  =  —————

        2               2  

Equation at the end of step

4

:

  -17x2          

 (————— -  7x) +  5

    2            

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         7x     7x • 2

   7x =  ——  =  ——————

         1        2  

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

-17x2 - (7x • 2)     -17x2 - 14x

————————————————  =  ———————————

       2                  2    

Equation at the end of step

5

:

 (-17x2 - 14x)    

 ————————————— +  5

       2          

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        5     5 • 2

   5 =  —  =  —————

        1       2  

STEP

7

:

Pulling out like terms :

7.1     Pull out like factors :

  -17x2 - 14x  =   -x • (17x + 14)

Adding fractions that have a common denominator :

7.2       Adding up the two equivalent fractions

-x • (17x+14) + 5 • 2     -17x2 - 14x + 10

—————————————————————  =  ————————————————

          2                      2        

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  -17x2 - 14x + 10  =   -1 • (17x2 + 14x - 10)

Trying to factor by splitting the middle term

8.2     Factoring  17x2 + 14x - 10

The first term is,  17x2  its coefficient is  17 .

The middle term is,  +14x  its coefficient is  14 .

The last term, "the constant", is  -10

Step-1 : Multiply the coefficient of the first term by the constant   17 • -10 = -170

Step-2 : Find two factors of  -170  whose sum equals the coefficient of the middle term, which is   14 .

     -170    +    1    =    -169

     -85    +    2    =    -83

     -34    +    5    =    -29

     -17    +    10    =    -7

     -10    +    17    =    7

     -5    +    34    =    29

     -2    +    85    =    83

     -1    +    170    =    169

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -17x2 - 14x + 10

 ————————————————

        2        

Anybody good in geometry and know how to do this? Free Brainliest and points .

Answers

Answer:

im guessing the answer  would be C but im not sure

before hand sorry if you get it wrong

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

Find the value of from the following right triangle.

plzzz help i will mark you as brainliest

Answers

Answer:

12

Step-by-step explanation:

by Pythagoras theorem,

P²+B² =H²

5²+B²=13²

B²= 13²-5²

B²= 169-25

B²= 144

B=√144

B= 12

please l, I really need help like ASAP. my thing ends in 5 minutes!!!!​

Answers

Answer:

it would be (-7,-6)

x=-7, y=-6

Step-by-step explanation:

subtract 7xy (x² - 2xy + 3y²) -
8x (x²y - 4xy + 7x y2) from
3y(4x²y-5xy +8xy²)

Answers

Answer:

im not sure but

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

[tex] \large \boxed{v > - 1}[/tex]

Step-by-step explanation:

Given the Inequality:

[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]

Step 1

Multiply the fraction or 1/3 in the expression.

[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]

Step 2

Multiply the whole Inequality by 3 to get rid of the denominator.

[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]

Step 3

Solve the Inequality for v-term by making v as the subject.

[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]

Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!

Write an equation with a slope of −4.4and a y-intercept of 6.8
A. =−4.4−6.8
B. =4.4+6.8
C. =6.8−4.4
D. =−4.4+6.8

Answers

Answer:

The answer is

[tex]y = - 4.4x + 6.8[/tex]

plz answer this Solve y+8≥9. Graph the solution.

Answers

Answer:

y≥1

Step-by-step explanation:

y+8 ≥ 9

-8     -8

______

y≥1  

i hope it makes sense(i tried to make it look like how you would do it on paper)

(2+3) (4-1) simplify

Answers

Step-by-step explanation:

Given

(2+3) (4-1)

= 5 * 3

= 15

Hope it will help :)

Answer:

15

Step-by-step explanation:

(2+3) (4-1)

(5) (3)

15

MORE KHAN ACADEMY! HELP ME PLEASE!

6/3+(-1/6)=?

Answers

Answer:

[tex]1\frac{5}{6}[/tex]

Step-by-step explanation:

6/3 + (-1/6) = 2 + (-1/6) = 2 - 1/6 = [tex]1\frac{5}{6}[/tex]

Answer:

If these are fractions the answer is 1 5/6

If they are not fractions the answer is 1.83

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