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2 years ago

The orange shape is a dilation of the black shape

Mathematics

1 answer:

grigory [225]2 years ago

7 0

Answer:

1/4

Step-by-step explanation:

The orange shape is 3 units tall and 4 units wide. The black shape is 12 units tall and 16 units wide. The scale factor is ...

orange/black = 3/12 = 4/16 = 1/4

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Please help me.

user100 [1]

Average of 5 games is no more than 74
So total 5 games with average 74 is:

74 x 5 = 370

First 4 games:

77+ 71 + 77 + 67 = 292

Find highest score on the last game
370 - 292 = 78

So highest score on the game 5 you can shoot is 78

Answer is B. 78

8 0

3 years ago

Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?

makkiz [27]

Hello from MrBillDoesMath!

Answer:

x = 7/8

Discussion:

3[x + 3(4x – 5)] = 15x – 24 =>

3x + (3*3)(4x-5) = 15x - 24 =>

3x + 9*(4x) - (3*3)*5 = 15x - 24 =>

3x + 36x - 45 = 15x - 24 => (add 24 to each side)

3x + 36x - 45 + 45 = 15x - 24 + 45 =>

39x = 15x + 21 => (as 45-24 = 21)

39x-15x = 21 => (subtract 15x from both sides)

24x = 21 =>

x = 21/24 = -7/8

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

5 0

3 years ago

Read 2 more answers

Intr-o clasa snt 35 de elevi .nr fete este egal cu 75 la suta din nr baietilor .aflati nr baietilor

Zanzabum

Salut!

b=baiat

f=fata

In clasa sunt 35 elevi.

75/100 x b=f

3b/4=f

3b=4f

b+f=35

3b+3f=105

7f=105

f=15

b=35-15

b=20

Succes!

5 0

2 years ago

The table below shows the number of cups of coffee people drink a day

Effectus [21]

The mean of a distribution is the sum of the data elements divided by the count of the dataset.

The mean of the distribution is 4

The complete table is given as

$\left[\begin{array}{cc}People & Frequency &0 - 2 & 5 & 3 - 5 & 25 & 6 - 8 & 5\end{array}\right]$

The complete question requires that, we calculate the mean of the dataset

First, we calculate the class midpoint

This is the average of the class interval

For interval 0 - 2,

$x_1 = \frac{0 + 2}{2} = 1$

For interval 3 - 5,

$x_2 = \frac{3 + 5}{2} = 4$

For interval 6 - 8

$x_3 = \frac{6 + 8}{2} = 7$

So, the table becomes

$\left[\begin{array}{ccc}People & x & Frequency &0 - 2 &1 & 5 & 3 - 5 & 4& 25 & 6 - 8& 7 & 5\end{array}\right]$

The mean is then calculated as:

$\bar x = \frac{\sum fx}{\sum f }$

This gives

$\bar x = \frac{5 \times 1 + 25 \times 4 + 5 \times 7}{5 + 25 + 5}$

$\bar x = \frac{140}{35}$

$\bar x = 4$

Hence, the mean of the distribution is 4