4.1
Twenty two litres(22ltrs) of petrol cost R300. How much will
you pay for one litre of petrol

4.2
A car travels a distance of 330 km at an average speed of 110
km/h. How long does it take the car to travel this distance?

4.3
Calculate the amount that will be in the bank after 4 years if
R2000 was invested at 9% p.a. simple interest​

Answer:

x= 4

Step-by-step explanation:

3x + 7 = 5x - 1

combine the like numbers: add 1 to the other side, isolating 5x

3x + 8 = 5x

Subtract 3x from 5x, isolating 8

8 = 2x

divide

4 = x

Check if it works

3(4) + 7 = 5(4) - 1

19 = 19

Yes, it is correct

Answer:

C) 253. 3 cm²

Step-by-step explanation:

1. Sector area formula can be in degrees or radians. I will use degrees because we are given 240 degrees as a unit.

2. SA= [tex]\frac{x}{360}[/tex] times [tex]\pi r^{2}[/tex] where x is the degrees of the sector

3. 240/360 times 3.14(11)²

4. 0.66666667 times 379.94

5. approximately 253. 3 cm²

Answer:

Step-by-step explanation:

The probability helps us to know the chances of an event occurring. The number of possible outcomes When Denato pulls a pen from the bag is 29.

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that the bag has 8 red pens, 7 blue pens, and 14 black pens. Therefore, if Denato will pull a pen from the bag the number of possibilities will be the sum of all the number of pens.

Number of Possibilities = 8 + 7 + 14 = 29

Thus, the number of possible outcomes When Denato pulls a pen from the bag is 29.

Learn more about Probability:

https://brainly.com/question/795909

Answer:

29

Step-by-step explanation:

There are 9 pens, so 29 outcomes

Answer:

The slope is -5

Step-by-step explanation:

16 -(-4) / -7 -(-3) = 5

Hope this helps. Pls give brainliest.

Answer:

help with what? what is your q u e s t i o n

Step-by-step explanation:

Answer:

I will help, but I need to know your question first haha!

Step-by-step explanation:

Answer:

b) The property states that ab is equivalent to b a

Step-by-step explanation:

Commutative property:-

the commutative property , when we multiply two integers , the answer we get after multiplication will remain the same, even if the position of the integers are interchanged.

Let 'a' and 'b' be the two integers , then  ab = b a

Example:-

   .    1 X 2 = 2 X 1 = 2

  .    12 X 5 = 5 X 12 = 60

Answer:

B

Step-by-step explanation:

Answer:

In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables). The case of one explanatory variable is called simple linear regression. For more than one explanatory variable, the process is called multiple linear regression. This term is distinct from multivariate linear regression, where multiple correlated dependent variables are predicted, rather than a single scalar variable.

Answer:

Step-by-step explanation:

x=-3y+5

x-5 = -3y

y = -(x-5)/3

Answer:

x=-5.5

Step-by-step explanation:

This equation has already been simplified to the last part for you so all you have to do is divide 22 by -4 and you get -5.5

22/-4=-5.5

Answer:

x = -5.5

Step-by-step explanation:

To answer this you need to isolate the x.. So -4x/-4 and then do the same to 22. So 22/-4 = -5.5

The answer is x = -5.5

Answer:

C

Step-by-step explanation:

∠ XYZ = ∠ 1 + ∠ 2, substitute values

8x + 12 = 4x + 8 + 9x - 11 = 13x - 3 ( subtract 13x from both sides )

- 5x + 12 = - 3 ( subtract 12 from both sides )

- 5x = - 15 ( divide both sides by - 5 )

x = 3

Thus

∠ XYZ = 8x + 12 = 8(3) + 12 = 24 + 12 = 36° → C

Answer:

126 units²

Step-by-step explanation:

Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.

Trapezoid ABRS ≅ trapezoid IHLK

Trapezoid DEOP ≅ trapezoid FEON

Rectangle BCQR ≅ rectangle GHLM

Area of trapezoid is [tex]\frac{b_{1} +b_{2} }{2}h[/tex]

Area of rectangle is [tex]lw[/tex]  

The total area of the figure is: ( 2 × [tex]A_{ABRS}[/tex] + 2 × [tex]A_{BCQR}[/tex] + 2 × [tex]A_{DEOP}[/tex] )

In trapezoid ABRS: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 8 and h = 3 ⇒

2 × [tex]A_{ABRS}[/tex] = 2 × [3(6 + 8) ÷ 2] = 42 units²

In rectangle BCQR: l = 6 and w = 3 ⇒

2 × [tex]A_{BCQR}[/tex] = 2 × (6 × 3) = 36 units²

In trapezoid DEOP: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 10 and h = 3 ⇒

2 × [tex]A_{DEOP}[/tex] = 2 × [3(6 + 10) ÷ 2] = 48 units²  

[tex]A_{total}[/tex] = 42 + 36 + 48 = 126 units²  

Answer:

no because they do not go up by the same number  plz mark brainiest

Step-by-step explanation:

Answer:

thx for 10 points tho

Step-by-step explanation:

Answer:

for the first pack, 1 Itune song would be 1.29 and for the other pack, for one Itune song would be 1.29 also, the relationship between these problem is that they are the same price for 1 song. The total cost for 1 is $1.29 hope this helps, have a great day! ツ

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

There are 4 sections in the circle. 2 out of 4 of them are shaded. That is half. 50% is another way of representing half of something.

Answer:

its c 50%

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

3.25 kg

Step-by-step explanation:

Since there are five books in the box, and one book weighs 0.65 kg, you just have to multiply 0.65 by five.

0.65(5)=3.25. So the answer is 3.25kg

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

Answer:2

Step-by-step explanation:

Answer:

2Pa

Step-by-step explanation:

just did the hw :)

Answer:

I think it's y = 3 and x = 9 so 3/9 I think.

or -3/9 if the ramp goes down

or 3/9 if the ramp goes up

good luck!

Answer:

The points that lie in the solution set of following system of inequalities are:

Option A (1,-5) and Option C (5,1)

Step-by-step explanation:

We need to find the points that lie in the solution set to the following system of inequalities

[tex]y<-3x+3\\y<x+2[/tex]

We will check each option to identify if they satisfy the given set of inequalities or net.

Option A (1,-5)

We have x=1, y=-5

Putting values and checking

[tex]\\y<-3x+3\\-5<-3(1)+3\\-5<0 \ (true)\\y<x+2\\-5<1+2\\-5<3 \ (true)[/tex]

So, Option A is correct as both values satisfy the given set of equations

Option B (1,5)

We have x=1, y=5

Putting values and checking

[tex]y<-3x+3\\5<-3(1)+3\\5<0 \ (false)\\y<x+2\\5<1+2\\5<3 \ (false)[/tex]

So, Option B is not correct as both values doesn't satisfy the given set of equations

Option C (5,1)

We have x=5, y=1

Putting values and checking

[tex]y<-3x+3\\1<-3(5)+3\\1<-15+3\\1<12 \ (true)\\y<x+2\\1<5+2\\1<7 \ (true)[/tex]

So, Option C is correct as both values satisfy the given set of equations

Option D (-1,5)

We have x=-1, y=5

putting values and checking

[tex]y<-3x+3\\5<-3(-1)+2\\5<3+2\\5<5 \ (false)\\y<x+2\\5<-1+2\\5<-1 \ (false)[/tex]

So, Option D is not correct as both values doesn't satisfy the given set of equations

The points that lie in the solution set of following system of inequalities are:

Option A (1,-5) and Option C (5,1)

Answer:

Step-by-step explanation:

Dado que:

Um técnico em eletricidade recebeu um pacote que continha 12 chaves não identificadas, a probabilidade de que ele acertasse na primeira vez será:

= número de ensaios / número total de ensaios disponíveis

O técnico eletricista tem apenas uma tentativa

uma vez que existem 12 chaves não identificadas, o número total de testes disponíveis 12

∴

= 1/12

= 0.0833

= 0.0833 × 100

= 8.33%

Answer:

m= 3 /2

Step-by-step explanation:

Answer:

12.40

Step-by-step explanation:

[tex]223.20 \div 18[/tex]

that will give you the answer of 12.40 for each unit.

Answer:

Step-by-step explanation:

1 box costs x amount

18 boxes cos 223.20

Cross multiply

223.20 * 1 = 18 x

Divide by 18

223.20 / 18 = 18x / 18

x = 12.40

Cost of 1 box is 12.40

Answer:

8400

Step-by-step explanation:

Explanation: do 300 times 28 because 28 days is 4 weeks then you will get your answer please give brainliest!

Answer:

8400

Step-by-step explanation:

300x4 is 1200 then, you multiply by 7( 7 because there is 7 days in a week) which you get 8400 pounds of food

Answer:

B

Step-by-step explanation:

If you notice, since concert tickets is 1, the cost is $23. So we are finding an option that satifies that. The only option is B.

Hope you get a 100. Please hit the crown if correct :D

Answer:

B:23 dollars is the cost for each concert ticket

Step-by-step explanation:

Answer:

2m-17

Step-by-step explanation:

-20+1/4(8m+12)

-20+2m+3

2m-20+3

2m-17

the answer is -20+ (8m+12/4)

Answer:5/4

Step-by-step explanation:

Area = length* width

5/8 = 1/2 * width

Width = 5/4

Answer:

5/4 miles.

Step-by-step explanation:

Width = area / length

=  5/8 / 1/2

= 5/8 * 2

= 10/8

= 5/4 miles.