69 POINTS
If Pablo gives 20% of his money to Mary, then Mary would have 25% more money
than Pablo. If Mary gives 20% of her money to Pablo, he would have more money
than Mary by what percent?

Answers

Answer 1

Answer:

81.25%

Step-by-step explanation:

x = Pablo's money

y = Mary's money

y + 0.2x = 1.25×0.8x = x

y = 0.8x

or

x = y/0.8 = 1.25y

her money is 80% of his money, or in other words, he has 25% more money than her to begin with.

but now she gives him 20% of her money.

x + 0.2y = a × 0.8y

1.25y + 0.2y = a×0.8y

1.45y = a×0.8y

a = 1.45/0.8 = 1.8125 = 81.25%

if she gives him 20% of her money, he would then have 81.25% more money than her.


Related Questions

Travis makes and sells fishing lures. He
has 56 fishing lures that he is putting into
boxes. Each box can hold 5 fishing lures.
How many boxes can Travis fill
completely?

Answers

11 boxes.

Explanation:
You divide 56 by 5 which will give you 11.2. Round down and you will get 11.

which ordered pair is the best estimate for the solution to the system?​

Answers

Answer:

(-2, 5)

Step-by-step explanation:

Plug each ordered pair in both equations and see if they fit in BOTH equations.

18. The graph of f(x) = ax2 opens
upward and is narrower than the
graph of g(x) = x2. Which of the
following could be the value of a?

Answers

a could be any value less than 1

Please help me with this

Answers

Answer:

A

Step-by-step explanation:

the volume of metal in a scale model of a metal high tension tower is 54 cm cubed. The scale used was 1:50. it required 50 mm of paint to give the model one coat. what volume of metal would be required to build the high tension Tower

Answers

Answer:

6,750,000 cm³ = 6.75 m³

Step-by-step explanation:

a scale version means that the ratio of every dimension of scale vs. real object is 1/50.

volume is created by multiplying 3 dimensions.

so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000

so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.

or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)

that would be 6.75 m³ of metal.

Calculate the mean of the data set {62, 75, 85, 63,69, 72, 76, 84, 87,88} round to the nearest tenth ?

Answers

Answer:

62+75+85+63+69+72+76+84+87+88 = 761

total scores is 10 then divde 761 by the total number of scores which is 10

761÷10 = 76.1

The measure of two supplementary angles are A=(4a+7)° and B=(a-2)° find the measure of the two angles

Answers

Answer:

147˚, 33˚

Step-by-step explanation:

supplementary angles means those angles add up to 180˚

so A+B = 180

substitute A and B with the values given.

(4a+7) + (a-2) = 180

combine like terms

5a + 5 = 180

5a = 175

a = 35

Now that we have a, substitute in the actual value of a into the expressions for each angle.

for <A: 4(35) + 7 = 147˚

for <B: 35 - 2 = 33˚

Answer:

<A =147

<B =  33

Step-by-step explanation:

Supplementary angles add to 180

4a+7 + a-2 = 180

5a+5 = 180

5a+5-5 = 180-5

5a = 175

Divide by 5

5a/5 = 175/5

a = 35

<A = 4a+7 = 4*35 +7 = 140+7=147

<B = a-2 = 35-2 = 33

which of the following integers cannot be written as the sum of four consecutive odd integers. (A) 16 (B) 40 (C) 72 (D) 100 (E) 200

Answers

Answer:

(D) 100

Step-by-step explanation:

(A) 16 = 1+3+5+7

(B) 40 =7+9+11+13

(C) 72=15+17+19+21

(D) 100

(E) 200=47+49+51+53

9 Josie parents opened a college
savings account that pays yearly
simple interest of 5.5%. They opened
the account with $500 and adds $50
each month to her account. How
much money is in her account at the
end of 4 years?
Record your answer and fill in the
bubbles on your answer document.
Be sure to use the correct place
value.

Answers

Answer:

$1,281.00

Step-by-step explanation:

We start by calculating the value $50 added each month after the first month

= $50 × 11

= $550

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

P = Principal = 500 + 550

= $1050

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Solving our equation:

A = 1050(1 + (0.055 × 4)) = 1281

A = $1,281.00

Therefore, there would be $1,281.00 after 4 years.

Help me plz I need help

Answers

Answer:

x = 14°

Step-by-step explanation:

x + 76° = 90°

or, x = 90° - 76°

so, x = 14°

please help solve this (geometry)

Answers

Answer:

∠ 3 = 140°

Step-by-step explanation:

∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then

∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°

What is the slope of a line that runs through the points (-4, 2) and (-7,9)

Answers

-2 -1/3

See attached photo for more details

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Answer:

... i dont know what that means... i would comment this but i dont know how to.... so yeah

Step-by-step explanation:

HELP!!!!!
If anyone knows the answer please tell me as soon as possible PLEASE!!!!

Answers

Answer:

Trapezium (An acute trapezium to be exact)

Step-by-step explanation:

Draw all four co-ordinates on a cartesian plane. We know these co-coordinates are the vertices (corners), so draw a line connecting all four points and observe what shape you have.

Your reasoning for why it is a trapezium can include the following points.

Trapeziums are a flat, closed shape, having 4 straight sides, with one pair of parallel sides.

We can say its an acute trapezium since the bottom two angles are unequal and both measure less than 90 degrees

James is 8 years old. Last year, his father was 4 times as old as he was. In how many years' time will their combined age be 51?

Answers

Last year He was 7 years old.

His father is 4 times the age 7 x 4 = 28

Last year his dad was 28, so this year he is 29.

Combined age this year = 29 + 8 = 37

51 - 37 = 14 years

14/ 2 people = 7 years

8 + 7 = 15

29 + 7 = 36

15 + 36 = 51

It will take 7 years.

Please hurry I will mark you brainliest

Grandpa khan’s age is 8 years is more than five times his grandson's age. The sum of their ages is 88 years. How old are they? Write an equation and “let statements”

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

see this attachment

Step-by-step explanation:

age of grandpa=72

age of grandson =16

Help plz ...............

Answers

Answer:

<RQP

Step-by-step explanation:

The vertex must either be the name of the angle or in the middle of the letters

<PQR  or <RQP

We can also just call it <Q since there is only one angle

the correct answer would be

What is the area of the figure below?

Answers

Answer:

25

Step-by-step explanation:

What number should be added to both sides of the equation to complete the square?
X^2+126= 11

Answers

Answer:

126/2 = 63^2

Step-by-step explanation:

How to find the area of this figure pls?

Answers

6 x 10 should be the answer

How bad is my friend’s handwriting


Rate from 1-10

Answers

Answer:

6

Step-by-step explanation:

Not bad, i can read it. Mines worse xd

Solve the inequality 4 is greater than n over -4

Answers

Answer:

4 > [tex]-\frac{n}{4}[/tex]

-16 > n

Step-by-step explanation:

Greater than would mean that the "arrow" is not facing the number. It would mean it is larger than the other number. Also, you have to construct the other part of the inequality which would be [tex]-\frac{n}{4}[/tex].

4×4 > [tex]-\frac{n}{4}[/tex]×4

16 > -n

-16 > n

Find the value of the polynomial:

Answers

Answer:

107

Step-by-step explanation:

5x⁶-3x²+7-2x⁶-3x⁶+4x²

= x²+7 (terms with x⁶ cancels out)

= (-10)²+7

= 100+7

= 107

Given the circle with equation x+ y =17


a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work

b). Find the equation of the perpendicular bisector of the chord DE

c). Verify that the perpendicular bisector from part b) passes through the center of the circle

Answers

Answer:

Step-by-step explanation:

x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be

x^2 + y^2 = 17.

:::::

Plug the coordinates of D into the equation.

(-4)² + (-1)² = 17, so D is on the circle.

Plug the coordinates of E into the equation.

1² + 4² = 17, so E is on the circle.

:::::

Slope of DE = (-1 - 4)/(-4 - 1) = 1

Slope of perpendicular to DE is -1.

Midpoint of DE:  ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)

Point-slope equation for perpendicular bisector:

y-1.5 = -(x+1.5)

y = -x

:::::

Center of circle is (0,0)

0 = -0, so y=-x passes through the center.

When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.

What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs

Answers

Answer:

usual number of yellow eggs = 12

Usual maximum = 21

Usual minimum = 3

Step-by-step explanation:

To solve this, we will use the expected value of a binomial probability.

The formula is;

E(X) = np

Where;

n is sample size

p is probability of success.

We are given;

n = 58

p = 21%

Thus;

usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12

From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.

Thus;

USL = n(p + 3√(p(1 - p)/n)

USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)

USL = 21.48 ≈ 21

LSL = n(p - 3√(p(1 - p)/n)

LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)

LSL = 2.87 ≈ 3

Please hurry I will mark you brainliest

The lines in which pair are parallel?

Answers

Answer:

C.

Step-by-step explanation:

Neither equation has a different slope, so they are parallel.

eric has a summer lawn mowing buisness. based on experience eric knows that p= -3x^2 + 150x -1200 models his profit, p, in dollars, where x is the amount he charges per lawn. how much does he need to charge if he wants to break even? show your work

Answers

Answer:

Eric can either charge $10 or $40 in order to break even.

Step-by-step explanation:

Eric has a summer lawn mowing business and the equation:

[tex]p=-3x^2+150x-1200[/tex]

Models his total profit p by charging x dollars per lawn.

We want to determine what price Eric needs to charge in order to break even.

The price Eric charges to break even means that his total profit will be zero. Hence, we can let p = 0 and solve for x. Thu:

[tex]0=-3x^2+150x-1200[/tex]

We can divide both sides by -3:

[tex]0=x^2-50x+400[/tex]

Factor:

[tex]0=(x-10)(x-40)[/tex]

Zero Product Property:

[tex]x-10=0\text{ or } x-40=0[/tex]

Solve for each case. Hence:

[tex]x=10\text{ or } x=40[/tex]

Therefore, Eric can either charge $10 or $40 in order to break even.

HELP!!!!!
If anyone knows the answer please tell me as soon as possible!!
PLEASE!!!!

Answers

Trapezoid, plot the points down on a graph

A is 2 times older than B. Identify the appropriate expression.

Answers

Answer:

C. 2x

Step-by-step explanation:

Let

B's age = x years

A's age = 2 times older than B

= 2 * x

= 2x years

A's age = 2x years

For instance, if B's age is 17 years

Then,

A's age = 2x

= 2(17)

= 34 years old

first answer gets marked brainliest!!!

Answers

Answer:

in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s

hope that helps ❤

Help me plz!!!.......

Answers

Answer:

[tex]AB^{2} =AD^{2} +BD^{2}[/tex]

[tex]AB^{2} =(7.5)^{2} +(4.9)^{2}[/tex]

[tex]AB=\sqrt{80.26}[/tex]

[tex]=8.96[/tex]

ΔABC tan C=AB/BC

⇒ tan 55.8= 8.96/BC ⇒BC= 8.96/tan 55.8

BC=x= 6.09

--------------------------

Hope it helps...

Have a great day!!

7.5^2+4.9^2
= 80.26
Square root of 80.26 = 8.96 ≈ 9
Cos 55.8 (9)
= 5.10 cm
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