Dumisani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?

Answers

Answer 1

Answer:

R17700

Step-by-step explanation:

Dumsani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?

First step

We are given the ratio 7:5

The sum of the proportion = 7 + 5 = 12

We are told that he saves the lesser amount

The lesser ratio = 5

Therefore, the amount he saves is

= 5/12 × R42480

= 5 × 3540

= R17700

Therefore, he saves R17700


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Answers

Answer:

B

Step-by-step explanation:

To test a circuit he does not need to gather opinions

Answer:

b

Step-by-step explanation:

1. Christina drew a scale model of an Olympic-size swimming pool using a
scale in which 3 centimeters represents 10 meters. If the length of the
pool in her drawing is 15 centimeters, what is the length of the actual
pool?
4,5 m
D 150 m

Answers

Answer: 4,5

Step-by-step explanation:

The actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters.

Thus, the scale factor is for cm to m,

[tex]r=\dfrac{3}{10}\rm[/tex]

The length of the pool in her drawing is 15 centimeters. Let the length of the actual pool is x cm. Thus,

[tex]\dfrac{15}{x}=\dfrac{3}{10}\\x=50\rm \; m[/tex]

Thus, the actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.

Learn more about the scale factor here;

https://brainly.com/question/10253650

Common factors of 27 and 54

Answers

Answer:

4

Step-by-step explanation:

4

Answer:

Step-by-step explanation:

Factors for 27: 1, 3, 9, and 27 Factors for 54: 1, 2, 3, 6, 9, 18, 27, and 54

so common factors are 1, 3,9 and 27

Emily took 300 US dollars to the bank to exchange it for Canadian dollars. The exchange rate on that day was 1.25 Canadian dollars per one US dollar. How many Ganadian dollars did she receive for 300 US dollars?

Answers

Emily wanted to exchange her 300 US Dollars for Canadian Dollars.

The exchange rate for it was 1.25 Canadian Dollars for 1 US Dollar.

This means that 1 US Dollar = 1.25 Canadian Dollars.

So if we were to follow this pattern,

2 US Dollars = 2 × 1.25 = 2.5 Canadian Dollars

3 US Dollars = 3 × 1.25 = 3.75 Canadian Dollars

4 US Dollars = 4 × 1.25 = 5 Canadian Dollars

So for 300 US Dollars, we'll need to multiply 300 by 1.25.

300 US Dollars = 300 × 1.25 = 375 Canadian Dollars.

Hope it helps. :)

Savannah's cat weighs 9 pounds. Savannah's dog weighs 4 3/4 times as much as her cat. How much does Savannah's dog weigh?

Answers

Answer:

42.75 pounds

i think :))

Step-by-step explanation:

Solve these equations.

|x+8|=x+8

PLS, I NEED HELP NOW!!!

Answers

Answer:

x = -8

Step-by-step explanation:

draw a number line and make ticks that are 1cm apart from-6 to7​

Answers

from left side of the line to the right, with even spaces in between: -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7

im literally about to smash this computer pelase somebody HELPEEPPEPEPEPP

Answers

Answer:

33920 or 530 im not 100% sure

i think sorry if im wrong

Step-by-step explanation:

In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?

Answers

Answer:

see explanation

Step-by-step explanation:

∠ 1 + ∠ 2 = 90, that is

x + x - 8 = 90

2x - 8 = 90 ( add 8 to both sides )

2x = 98 ( divide both sides by 2 )

x = 49

Brody's family took a road trip to Niagara Falls. Brody slept through the last 6% of the trip. If the total length of the trip was 300 miles, how many miles had they travelled when Brody fell asleep?

Answers

Answer:

18 miles

Step-by-step explanation:

6% of 300 miles is 18 miles

Parallel lines and tranvsveral

Answers

Answer:

66°

Step-by-step explanation:

simply subtract 114 from 180

you'll come out with the answer of 66°.

Find the area. Simplify your answer.
x+1
2x

Answers

Answer:

[tex]A = x^{2} + x[/tex]

Step-by-step explanation:

Area of a triangle = bh/2

Your base is 2x and the height is x + 1

So, A = (2x)(x + 1)/2

        A = [tex]x^{2} + x[/tex]

Write the equation of the line that passes through the points (3, -2)
and (5, -9). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.

Answers

start with determining the slope ((-9 - (-2))/(5 - 3) = -7/2. Now use the point slope formula y - y1 = m(x - x1). y - (-2) = -7/2(x - 3). Distribute the -7/2, y + 2= -7/2x + 21/2. Combine like terms y = -7/2x + 17/2. You can also write this as y = -3.5x + 8.5

an elevator is currently 16.9 feet off the ground. If it ascends 32.35 feet, then descends 7.8 feet, how far off the ground is the elevator?

Answers

Answer:

40.64 feet

Step-by-step explanation:

Which expression shows the result of applying the distributive property to −2(1/3x−1/5)?


2/3x−2/5

2/3x+2/5

−2/3x−2/5

−2/3x+2/5

Answers

Answer:

Its C

Step-by-step explanation:

:D

Which of the following reveals the minimum value for the equation 2x2 + 12x − 14 = 0? 2(x + 6)2 = 26 2(x + 6)2 = 20 2(x + 3)2 = 32

Answers

Answer:

The equation which reveals the minimum value for the equation is  2·x² + 12·x - 14 = 0 is the option;

2·(x + 3)² = 32

Step-by-step explanation:

The given function can be presented as follows;

2·x² + 12·x - 14 = 0

The quadratic equation in standard form is a·(x - h)² + k

Where;

(h, k) is the vertex of the parabola

Given that the coefficient of the x² is positive, the graph is U-shaped and the lowest point is given by the vertex of the graph as follows;

2·x² + 12·x - 14 = 2·x² + 12·x - 14 = 2·(x² + 6·x - 7) = 0

2·(x² + 6·x - 7) = 2·(x² + 6·x + 9 - 7 - 9) = 2·((x + 3)² - 16)

2·((x + 3)² - 16) = 2·(x + 3)² - 32 = 0

∴ 2·x² + 12·x - 14 = 2·(x + 3)² - 32 in vertex form

The minimum value (vertex, (h, k)) for the equation = (-3, -32)

Therefore, the equation which reveals the minimum value for the equation is 2·(x + 3)² = 32

Answer:

2(x + 3)2 = 32

Step-by-step explanation:

I took the test.

The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. It is claimed that the average amount of active ingredient per tablet is at least 200 milligrams. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The mean content of the active ingredient for this sample is 194.3 milligrams, while the standard deviation is 21 milligrams. What is the approximate p-value for the appropriate test

Answers

Answer:

p = 0.0116

Step-by-step explanation:

We are given;

Population mean; μ = 200 mg

Sample mean; x¯ = 194.3 mg

Standard deviation; σ = 21 mg

Sample size; n = 70

Formula for z-score is;

z = (x¯ - μ)/(σ/(√n))

z = (194.3 - 200)/(21/√70)

z = -5.7/2.51

z = -2.27

From the z-score table attached, the p-value at z = -2.27 is p = 0.0116

Each cube inside the rectangular prism has an edge length of (3)/(4) inch. What is the volume of the rectangular

Answers

It should 12 and count the sides and add it

find the area of the shape below

Answers

Answer:

204 ft^2

Step-by-step explanation:

triangle on the left:

A= l x w x 1/2

A = 12 x 5 x 1/2

A = 30 ft^2

triangle on the right:

Same thing

A = 30 ft^2

square in the middle:

A = l x w

A = 12 x 12

A = 144 ft^2

Add them up:

30 + 30 + 144 = 204 ft^2

117
X
x + 3
Find the value of x.
A. 4
В. 5
C. 6
D. 9

Answers

Answers:

1. D po

Step-by-step explanation:

i hope its hepl

Please help me!!!!!!!!!!!!!!!!!

Answers

it’s (-1,-2) , and minimum
The answer is C, (-1,-2)maximum

Charles and Jaden share a reward of $63 in a ratio of 2:5. How much does Jaden
get?

Answers

Answer:

9

Step-by-step explanation:

2:5=7

therefore Jaden got 63÷7

=9

There were 874 tickets sold for a school event. Student tickets were $3 and non-student
tickets were $7. If the total amount of ticket sales was $3,786, how many student
tickets were sold? (Use only the digits 0-9 to enter a number.)
This questions weird

Answers

Answer:

583 student tickets

Step-by-step explanation:

This question is likely asking us to set up a system of equations. Let us say that:

x represents the number of student tickets  

y represents the number of non-student tickets

We know that there were a total of 874 tickets sold, so:

x + y = 874

We also know that every student ticket was sold for $3 and every non-student ticket was sold for $7. We also know the total sales, so:

3x + 7y = 3786

These are our two equations. We can use substitution to solve for the number of student tickets, x:

x + y = 874

y = 874 - x

3x + 7y = 3786

3x + 7(874 - x) = 3786

3x + 6118 - 7x = 3786

-4x = -2332

x = 583 student tickets

Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.
Write and solve an equation to find the amount of money Victor used to buy the Game Boy.

Answers

68+32=100 he used a $100 bill

I need this ASAP, please

A. The table represents a function because each element in the range is associated with exactly one element in the domain.

B. The table does not represent a function because each element in the domain is associated with exactly one element in the range.

C. The table represents a function because each input has exactly one output.

D. The table does not represent a function because each output does not have exactly one input.

Answers

The answer would be c

PLEASE HELP IF POSSIBLE :)

Answers

Answer:

JM = 20

Step-by-step explanation:

Find the value of JM

Using similar triangles;

MJ/HN = GJ/HK

GJ+JM/HN = GJ/HK

15+JM/12+16 = 15/12

15+JM/28 = 15/12

Cross multiply

12(15+JM) = 15*28

180+12JM = 420

12JM = 420 - 180

12JM = 240

JM = 240/12

JM = 20

Hence the length of JM is 20

Solve for y 3) 2y + 4x = 8​

Answers

Answer:

Step-by-step explanation:

y

=

4

2

x

Simplify the expression:
a (-8a^2 + 2a + 4) +3 (ba^2 - 4)

Answers

Answer:

4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12

Step-by-step explanation:

Simplify the following:

3 (b a^2 - 4) + a (-8 a^2 + 2 a + 4)

Hint: | Distribute a over -8 a^2 + 2 a + 4.

a (-8 a^2 + 2 a + 4) = -8 a^3 + 2 a^2 + 4 a:

-8 a^3 + 2 a^2 + 4 a + 3 (b a^2 - 4)

Hint: | Distribute 3 over a^2 b - 4.

3 (a^2 b - 4) = 3 a^2 b - 12:

Answer: 4 a + 2 a^2 - 8 a^3 + 3 a^2 b - 12

Predict whether the product is greater than, less than, or equal to
2/3
. Then find the product.

2/3 × 1 3/5

Answers

1 10/18 simplify before putting the answer

hi please help i’ll give brainliest please

Answers

Answer:

4

Step-by-step explanation:

15y = 60

60 / 15 = 4

Answer:

Y=4

Step-by-step explanation:

60/15=4

therefore y=4

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