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2 years ago

15

The ratio of the number of girls to the number of boys in choir is 4 to 5. There are 32 girls in the choir. How many boys are in

the choir?

2 answers:

TEA [102]2 years ago

8 0

Answer:

what grade is this

Step-by-step explanation:

photoshop1234 [79]2 years ago

5 0

8. 32/4 is 8. 1/5 is boys, so no need to multiply. (answer is 8)

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Tony buys a washing machine

Lorico [155]

Step-by-step explanation:

£480 = 120% (after adding the 20% VAT).

we want to know how much 100% is.

he do we get from 120% to 100% ?

first the formal long way

£480 = 120%

1% = 120%/120 = 480/120 = £4

100% = 1% × 100 = 4×100 = £400

once you understand this mechanism, you can apply the direct shortcut :

£480 / 1.2 = £400

as a multiplication with 100/120 is the same as a division by 120/100, which is 1.2.

and what we did at the beginning in long form was nothing else than

£480 × 100/120 = 480 × 10/12 = 480 × 5/6 = £400

7 0

1 year ago

Read 2 more answers

Helen plays basketball. For free throws, she makes the shot 78% of the time. Helen must now attempt two free throws. C = the eve

riadik2000 [5.3K]

Answer:

0.6708 or 67.08%

Step-by-step explanation:

Helen can only make both free throws if she makes the first. The probability that she makes the first free throw is P(C) = 0.78, now given that she has already made the first one, the probability that she makes the second is P(D|C) = 0.86. Therefore, the probability of Helen making both free throws is:

$P(C+D) = P(C) *P(D|C) = 0.78*0.86\\P(C+D) = 0.6708$

There is a 0.6708 probability that Helen makes both free throws.

5 0

3 years ago

ABC is dilated by a scale factor of 3 with the origin as the center of dilation, resulting in the image A'B'C'. If the slope of

uysha [10]

Answer:

The slope of A'B' = -1.2 ⇒ answer A

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.

- It can become larger or smaller, but the shape of the

figure does not change.

- The scale factor, measures how much larger or smaller

the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- If the center of the dilation is the origin then multiply each coordinate

by the scale factor

* In the problem

∵ Δ ABC is dilated by a scale factor of 3 with the origin as the center

of dilation

- Let point A is (a , b) and point B is (c , d)

∵ The slope of the line which passes through points (x1 , y1) and (x2 , y2)

is m = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (d - b)/(c - a) = -1.2

∵ Point A' is (3a , 3b) and point B' is (3c , 3d)

∴ The slope of A'B' = (3d - 3b)/(3c - 3a)

- Take 3 as a common factor from up and down

∴ The slope of A'B' = 3(d - b)/3(c - a) ⇒ cancel 3 up with 3 down

∴ The slope of A'B' = (d - b)/(c - a) = the slope of AB

∵ The slope of AB = -1.2

∴ The slope of A'B' = -1.2

* The slope of A'B' = -1.2

3 0

3 years ago

2/3 of a number -11. Please help

vfiekz [6]

Answer:

(2/3)x = -11

x = -33/2

Step-by-step explanation:

2/3 of a number is -11.

Let the unknown number be x.

2/3 of x is -11.

(2/3)x = -11

Multiply both sides by 3/2.

(3/2)(2/3)x = (3/2)(-11/1)

x = -33/2

8 0

3 years ago

Please please help. I have a bunch of these and I don’t understand it at all

shtirl [24]

The correct option is: Option (B) $\sum_{i=1}^{7} (5i-2)$

Explanation:

First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.

When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).

3 0

3 years ago