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3 years ago

Please help don't understand at all

Mathematics

2 answers:

Levart [38]3 years ago

5 0

(i) Note that it is given to you that 3a + 2b = 9

You are trying to find the value of 9a + 6b. Find what is multiplied to both the variable a & b. Divide:

(9a + 6b)/(3a + 2b) = 3

Next, multiply 3 to the 9 on the other side of the equation:

3 x 9 = 27

27 is the value of 9a + 6b.

(ii) Note that it is given to you that 8x + 6y = 60

You are trying to find the value of 4x + 3y. Find what is multiplied to both the variable x & y. Divide:

(8x + 6y)/(4x + 3y) = 2

Next, divide 2 from the 60 on the other side of the equation:

60/2 = 30

30 is the value of 4x + 3y.

stich3 [128]3 years ago

5 0

Answer:

(i) 27, (ii) 30

Step-by-step explanation:

i. since 9a + 6b is 3 times 3a + 2b then the and is 3 times 9 = 27

ii. since 4x + 3y is half of 8x + 6y then 60 /2 = 30

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ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?

ruslelena [56]

Answer:

A reflection over the line x=3

Step-by-step explanation:

5 0

3 years ago

The Lotta Chocolate Factory makes CHEWY CHERRY CHOCOLATES. The chocolates are shipped out in cases. Each case contains 9 boxes.

babunello [35]

Answer:

324

Step-by-step explanation:

One case has 9 boxes.

One box has 36 chocolates.

This equation would answer the amount in a case, case = chocolate*boxes

So there would be 36*9 chocolates, and that equals 324 in one case

8 0

2 years ago

Read 2 more answers

Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the giv

AnnZ [28]

Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

$\Delta Sector=\dfrac{1}{2}r^2\theta$

Whereas the area of a circle for a radius r is given as

$\Delta Circle=\pi r^2$

Now the ratio is given as

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}$

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

$\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }$

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

6 0

3 years ago

Seventy-six percent of sunflower seeds will germinate into a flower, and a sample of 800 such sunflower seeds is randomly select

ollegr [7]

Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Seventy-six percent of sunflower seeds will germinate into a flower

This means that $p = 0.76$

Samples of 800:

This means that $n = 800$

The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.76*0.24} = 12.08$

5 0

3 years ago

Sheri's brother gave Sam his collection of stamps when she left for college. At that

pychu [463]

Answer: $70 per year.

Step-by-step explanation:

Let's say that x is the number of years that has passed and y is how much the stamp is worth.

So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates (0,420) .

Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)

To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.

420 - 980 = -560

0-8 = -8

-560/-8 = 70

The rate of change is 70 which means that it grew by $70 every year.

6 0

3 years ago

Please help don't understand at all​

Please help don't understand at all