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yKpoI14uk [10]
1 year ago
8

Please assist with following question 2, 7, 9, 10, 13

Mathematics
1 answer:
monitta1 year ago
7 0

Hello!

To solve exercise 9, we must use the rule of three.

Note that the initial price was R12 (corresponds to 100%).

The new price is R10.8 (we'll consider x%).

Using the rule of three, we will have:

\begin{gathered} \frac{12\rightarrow100\%}{10.8\rightarrow x\%} \\  \\ 12\cdot x=10.8\cdot100 \\ 12x=1080 \\ x=\frac{1080}{12} \\  \\ x=90\% \end{gathered}

Now, let's calculate the difference between the initial percentage and the new percentage:

100\%-90\%=10\%\text{ of decrease}

<h2>Answer:</h2>

10% of decrease.

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Determine if this relationship forms a direct variation. Verify your answer.
leva [86]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

so


we have

a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50

b) for x=2 y=1--------> y/x=1/2-------> 0.50

c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50

d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50

the value of k is equal to 0.50

so

<span>the relationship forms a direct variation. </span>

the equation is

y=0.50*x


Verify

for x=1

y=0.50*(1)------> y=0.50-----> is correct


for x=2

y=0.50*(2)------> y=1.00-----> is correct


for x=3

y=0.50*(3)------> y=1.50-----> is correct


for x=5

y=0.50*(5)------> y=2.50-----> is correct

4 0
3 years ago
Read 2 more answers
JT = 5x+ 8<br> CT = 70, and<br> CJ = 7x + 2<br> Find JT
defon

Answer:33

Step-by-step explanation: took one for the team

8 0
3 years ago
Find the volume of the rectangular pyramid below.
lutik1710 [3]

Answer:

4800m³

Step-by-step explanation:

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8 0
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Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )
irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0
3 years ago
Which Data set has the smallest IQR ?
mel-nik [20]

Answer:

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<h2 />

<h2>here your answer </h2>
8 0
4 years ago
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