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galben [10]
2 years ago
9

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are (4,

–5), what are the coordinates of B'?
Mathematics
2 answers:
Fed [463]2 years ago
8 0
*Hint: In order to find the coordinates, you plug in the coordinates into the rule and solve.

(x, y) → (x + 2, y - 8)
(4, -5) → (4 + 2, -5 - 8)
(6, -13)

The coordinates of B' is (6, -13).
vredina [299]2 years ago
7 0

Answer:  The co-ordinates of point B' are (6, -13).

Step-by-step explanation:  Given that triangle ABC is translated according to the following rule:

(x,y)~~~\rightarrow~~~(x+2,y-5).

We are to find the co-ordinates of B' if the co-ordinates of the pre-image of point B are (4, -5).

Since the co-ordinates of point B are (4, -5), so the co-ordinates of point B' will be

(4,-5)~~~\rightarrow~~~(4+2,-5-8)=(6,-13).

Thus, the co-ordinates of point B' are (6, -13).

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A black shoe is selected at random from a bin of 6 black shoes and 4 brown shoes and not replaced. What is the probability that
MrMuchimi
Hello,

If 1 black shoe is selected from a bin of 6 black shoes and 4 brown shoes and not replaced, then there are 5 black shoes and 4 brown shoes remaining. To find the probability that the a black shoe will be selected out of 5 black shoes and 4 brown shoes, we divide the number of black shoes over the total number of shoes (Each selection of a shoe is independent).

Doing this, we get 5 / (5+4) = 5/9 ≈ 0.55 
The probability that a second shoe selected will be black is 0.55.

Hope this helps!
6 0
2 years ago
Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely each
aniked [119]
This is how we solved and make the equation.
Stock A = 100
Stock B = 45

For the past months, his stocks inversely decreased.
Stock A = m cents / share
Stock B = n cents * share

So the equation is
= 100 (0.01m) + 45 (0.01n)
<span>= m + 0.45n</span>
6 0
2 years ago
11) The Cost of maintaing a
dezoksy [38]

Answer:

a). Cost of 44 pupils = $14265

b). Least number of pupils = 31

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.

(a) Find the cost when there are 44 pupils.

(b) If the fee per pupil is $360.00, what is the least number of pupils for which the school can run without a loss?

Let the equation representing the total cost of maintaining a school is,

C = ax + b

Where C = Total cost of maintaining a school

a = Fee per pupil

b = Fixed running cost

x = number of pupils

a). Cost of 50 pupils = $15705

    Equation will be,

    15705 = 50a + b -------(1)

    Cost of 40 pupils = $13305

    Equation will be,

    13305 = 40a + b --------(2)

    By subtracting equation (2) from equation (1),

    15705 - 13305 = (50a + b) - (40a + b)

    2400 = 10a

    a = 240

    From equation (1),

    b = 3705

    Equation representing the total cost will be,

    C = 240x + 3705

    If x = 44

    C = 240(44) + 3705

    C = $14265

b). If the fee per pupil 'a' = $360

    Let the number of pupils = p

    Total fee of 'p' pupils = $360p

    Total cost to run the school will be = 3705 + 240p

    For the school not to be in the loss,

    360p ≥ 3705 + 240p

    360p - 240p ≥ 3705

    120p ≥ 3705

    p ≥ \frac{3705}{120}

    p ≥ 30.875

    Therefore, to run the school without loss, number pupils should be at least 31.

3 0
2 years ago
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter. How many
andre [41]

Answer:

Given that,

My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.

Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.




8 0
2 years ago
Read 2 more answers
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matrenka [14]

To solve this question, you just need to count all the probability of the options.

The probability that a pitch not over the plate is a strike is zero. So, P(A | D) = 0.

True. It is 0/0+20= 0

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True, it is 20/20+0= 1

The probability that a pitch over the plate is a strike is 10:15. So, ...

Incomplete but it sounds to be true. It should be 10/10+5= 10/15 = 2/3

The probability that a pitch over the plate is a ball is 5:10. So, P(B | C) = 0.5.

7 0
2 years ago
Read 2 more answers
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