On his death, a wealthy businessman left R132 000 to charity. He declared that the money should be given to the following charities: 'The Reach for a Dream Foundation', NSPCA and Smile, in the following ratio 3 : 4 : 5.
Determine the amount each foundation received.​

Answers

Answer 1

Answer:

The Reach for a Dream Foundation received R33000, NSPCA received R44000, and Smile received R55000.

Step-by-step explanation:

Total money for charity = R132,000

Ratio:

3 : 4 : 5

Charities:

The Reach for a Dream Foundation : NSPCA : Smile

x : y : z

3x + 4y + 5z = R132000

Charity 1 = Charity 2 = Charity 3

x = y = z

3x + 4x + 5x = R132000

x = 11000

The Reach for a Dream Foundation:

3(11000) = R33000

NSPCA:

4(11000) = R44000

Smile:

5(11000) = R55000

Double Check:

R33000 + R44000 + R55000 = R132000


Related Questions

what is the slope of the line with points (4, 4) and (-2,-5)

Answers

Answer:

the slope would be -1/2

Step-by-step explanation:

-5 - 4

= -1/2

-2 - 4

One banana cost $30 how many do 80 bananas cost

Answers

Answer:2400 ...

Step-by-step explanation:

Triangle with Angle of 68 degrees and a side of 21 what is the value of x

Answers

Step-by-step explanation:

angle=68

size=21

x=?

:.=68+21+×

=89=180-89

=91

:.×=91

Help pls thnk You!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

(2n+7)(n+1)(n-1). So the first one.

Zara, Sam, Shyla, and Ryan are playing a game with marbles. Match the statements with the number lines that represent their solutions.

Answers

Complete question :

Zara, Sam, Shyla, and Ryan are playing a game with marbles, Match the statements with the number lines that represent their solutions:

Two more than Shyla's score is less than 9.

Shyla's score is x;

Three times the number of marbles that

Zara has is more than 15. The number

of marbles Zara has is x;

Sam needs more than 6 points to quality

for the next level of the game. The

number of points Sam needs is x;

Two times Ryan's score is less than 12

Ryan's score is x

Answer:

x < 7 (third number line)

x > 5 (4th number line)

x > 6 (1st number line)

x < 6 (2nd number line)

Step-by-step explanation:

2 more than Shyla's score is less than 9 ; Shyla's score is x ;

x + 2 < 9

x < 9 - 2

x < 7 (third number line)

Three times the number of marbles that Zara has is more than 15. The number of marbles Zara has is x;

3x > 15 ;

x > 15 / 3

x > 5 (4th number line)

Sam needs more than 6 points to quality for the next level of the game. The number of points Sam needs is x;

x > 6 (first number line)

Two times Ryan's score is less than 12 Ryan's score is x;

2x < 12

x < 12 / 2

x < 6 (2nd number line)

Answer:

zara first

shyla second

sam third

ryan forth

Step-by-step explanation:

your welcome :)

Please help me i need help please

Answers

Server: Content Deleted; Error (673)

CAN SOMEONE PLEASE HELP ME , THIS IS THE LAST QUESTION AND I ONLY HAVE 5 MINUTES LEFT TO ANSWER IT!!

Answers

Answer: x=1

Step-by-step explanation:

The triangle is a 45-45-90, so the formula states that the hypotenuse is 2 roots of x, so x is one.

Anna is going to invest in an account paying an interest rate of 5.1% compounded continuously. How much would Anna need to invest, to the nearest hundred dollars, for the value of the account to reach $47,000 in 14 years?

Answers

Answer: 23000 on delta math

Step-by-step explanation:

a) Length of a Rectangular playground is 15m and width of the playground is
12m.David wants to level the playground .How much area he has to level?
b) David will charge 3 pound for leveling of 1m square What will be the total
amount he will charge for leveling the playground.​

Answers

Answer:

A. 180 m²

B. 540 pounds

Step-by-step explanation:

Area of rectangular playground = length × width

Length of a Rectangular playground = 15m

width of the playground =

12m

Area of rectangular playground = length × width

= 15m × 12m

= 180m²

B. 1m square = 3 pounds

What will be the total amount he will charge for leveling the playground.

Total cost of leveling the playground = 180 m² × 3 pounds

= 540 pounds

A paper bag is 16 cm long, 5 cm wide and 20 cm tall. Inside the bag is a box that is 8cm long, 3 cm wide and 10 cm tall. How much space is left in the bag?

Answers

volume of paper bag= 16×5×20=1600cmcube

volume of box= 8×3×10= 240

space left = 1600-240= 1360cmcube

hope it helps

Using logarithm table evaluate the
[tex] \frac{ \sqrt[3 ]{1.376} }{ \sqrt[4]{0.007} } [/tex]

Answers

Answer: 3.845312455 just put it in a scientific calculator

By using the logarithm table, the value of the expression is approximately  written as 5.796.

To begin, let's use the properties of radicals and logarithms to rewrite the expression:

[tex]\frac{\sqrt[3]{1.373} }{\sqrt[4]{0.007} } = 1.373^{1/3} \times 0.007^{-1/4}[/tex]

Now, we can utilize logarithm tables to evaluate each term separately. Using logarithms, we can convert the above expression into a more manageable form:

=> 1.373 ¹/₃ = 1.092,

=> 0.007⁻¹/₄ = 5.311

Finally, we can substitute the approximated values back into the original expression:

≈1.092×5.311≈5.796.

To know more about logarithm here

https://brainly.com/question/28346542

#SPJ2

vertex (0,0) focus (0,-1)
A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2

Answers

Answer:B

Step-by-step explanation:

can someone help and explain with steps please

Answers

Answer:

4th root of 16

4 = index ; 16 = radicand

2

Step-by-step explanation:

⁴√16 is pronounced as the 4th root of 16

For expressions of this sort :

The index = 4

Radicand = 16

Sqareroot (√) is a radical symbol, and the number under the radical square root Symbol is called the radicand

Hence. The 4th root of 16:

⁴√16 ; using a calculator gives 2.

We could check our resukt by taking the 4th square of 2

2 * 2 * 2 * 2 = 16

Solve the expression for: x = 2 and y = 5 x2 + 2y2 + 15

Answers

The answer is 69

(2)^2 + 2(5)^2 +15

4 + 50 + 15

69

Answer:

69

Step-by-step explanation:

Analyze the following situations that represent a relationship between x and y. Which situations can be modeled by the equation y = 0.23x? Select two that apply.

Answers

Answer:

I think it's A and D

Step-by-step explanation:

For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months

for option D, y would be the total amount of money spent and x would be the number of granola bars bought.  total money spent = $0.23 × number of granola bars bought

Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.

In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change

The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.

Answers

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

What are Similar Triangles?

Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).

The two triangles formed are similar triangles. Therefore:

47/FG = 82/73.8

Cross multiply

FG = (47 × 73.8)/82

FG = 42.3 m

Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

Learn more about similar triangles on:

https://brainly.com/question/11899908

Find the volume of the cylinder. Round your answer to the nearest tenth.



V =

Answers

Answer:

1526.81

Step-by-step explain

v=[tex]\pi[/tex]*radius^2*Hight


What is the slope of the line?
What is the y-intercept?
Write the equation of the line

Answers

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

PLS,PLS,PLS,PLS HELP ME THIS QUESTION IS WORTH 10 POINTS. Which number sequence follows the rule add 4 starting from 2?

Answers

Answer:

Arithmetic sequence

Step-by-step explanation:

In an arithmetic sequence, the next term on the sequence is obtained by adding a certain value to the first term. This term that is added is uniform throughout the sequence. Once this term is added to the preceding term, the next term of the sequence is obtained. This term that is thus added is known as the common difference of the arithmetic sequence.

So the arithmetic sequence obtained by adding 4 starting from 2 is; 2, 6, 10, 14 .........

The square root of 14641 will have how many digits

Answers

Answer:

3 digits

Step-by-step explanation:

Hopefully that helps.

Answer:

3 digits

Step-by-step explanation:

Using a calculator, we find √14641 = 121, which has 3 digits.

PLEASE HELP ME ASAP!!!

Answers

Answer:

5x6x7=210x2=420

Step-by-step explanation:

Which other expression has the same value as (-14 ) - 8? Explain your reasoning

a(-14) + 8

b14 - (-8)

c14 + (-8)

d (-14) + (-8)

Answers

D has the same answer. D has the same answer, because a means -14 + 8 which equals -6 which isn’t equal to the answer to the first one (-22). The next one you switch the - to a + and the -8 to 8 so it would equal 22. C equals -6 which also doesn’t equals the first one. So the last one is right because one you add to negative so still end up with a negative.


Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow

Answers

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].

In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!

Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40

Answers

Answer:

A. $3.96

Step-by-step explanation:

$2.20 × 1.8 pounds = $3.96

pls helpp!!
the angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°
find the value of x​

Answers

Given:

The angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°.

To find:

The value of x.

Solution:

We know that the sum of all interior angles of a quadrilateral is 360°. So,

[tex]x^\circ+(x+5)^\circ+(2x-25)^\circ+(x+10)^\circ=180^\circ[/tex]

[tex](5x-10)^\circ=180^\circ[/tex]

It can be written as

[tex](5x-10)=180[/tex]

[tex]5x=180+10[/tex]

[tex]5x=190[/tex]

Divide both sides by 5.

[tex]x=\dfrac{190}{5}[/tex]

[tex]x=38[/tex]

Therefore, the value of x is 38.

please help, i am being timed!!

Which expression is equivalent to StartFraction 7 Superscript 5 Over 7 squared EndFraction?

A) (7 times 5) (7 times 2)

B) (7 times 7 times 7 times 7 times 7) (7 times 7)

C) StartFraction 7 times 5 Over 7 times 2 EndFraction

D) StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction

Answers

the answer is D

hope that helps

Answer:

the answer is D

Step-by-step explanation:

If a car travels 825 miles in 15 hours and the car travels at an constant rate how many miles does the car travel in 1 hour?

Answers

Answer:

55 miles

Step-by-step explanation:

Given data

DIstance =  825 miles

Time = 15 hours

Speed= distance/time

Speed= 825/15

Speed= 55  miles per hour

Given that we want to find the distance traveled in 1 hour, we have

Distance= Speed*time

Distance= 55*1

Distance= 55 miles

Hence the car will travel 55 miles in 1 hour

38 is 90 percent of what

Answers

Answer:

42.22 (2 repeating)

Step-by-step explanation:

When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.

Starting with the most basic equation,

Percent * Base = Amount

In this problem, you are given the amount (38) and the percent (90)

So to find the base, you can do

Base = Amount / Percent

As always, convert the percent to a decimal by dividing by 100.

38/ 0.9 = 42.222 repeating

Answer:

38 is 90 Percent of What Number?

42.22

Step-by-step explanation:

Which is larger, 9 kilograms or 8,500 grams?

Answers

Answer: 9 kilograms

Step-by-step explanation:

9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.

A student wants to arrange four points to form a rectangle on a grid. She has already placed points at Syntax error. Where should she place the last point? PLEASE HURRRY

Answers

Question:

A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?

Answer:

[tex]D = (4,4)[/tex]

Step-by-step explanation:

Let the rectangle be ABCD

[tex]A = (-4,4)[/tex]

[tex]B= (-4,8)[/tex]

[tex]C = (4,8)[/tex]

Required

Determine the location of the last point

A rectangle has the following coordinates

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_2)[/tex]

[tex]D = (x_2,y_1)[/tex]

From the given coordinates:

[tex]x_1 = -4[/tex] --- see x coordinates of A and B

[tex]x_2 = 4[/tex] --- see x coordinates of C

[tex]y_1 =4[/tex] --- see y coordinates of C

[tex]y_2 =8[/tex] --- see y coordinates of B and C

So:

[tex]D = (x_2,y_1)[/tex]

[tex]x_2 = 4[/tex]

[tex]y_1 =4[/tex]

The coordinates of the last point (D) is:

[tex]D = (4,4)[/tex]

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