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3 years ago

Three times the difference of a number and 7 is 30. Find the number.

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

3(x - 7) = 30 is our equation, since we take 7 away from the number and then multiply the result by 3.

3x - 21 = 30

Add 21

3x = 51

Divide by 3

x = 17

To check.

3(17 - 7(

3(10)

30 = 30 Correct

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We are drawing two cards without replacement from a standard 52-card deck. find the probability that we draw at least one red c

alina1380 [7]

The probability of drawing only one red card in two draws without replacement is given by:
$P(1\ red)=\frac{26C1\times26C1}{52C2}=0.51$
The probability of drawing two red cards in two draws without replacement isgiven by:
$P(2\ red)=\frac{26C2\times26C0}{52C2}=0.245$
The events 'draw one red card' and 'draw two red cards' are mutually exclusive. Therefore the probability of drawing at least one red card is 0.51 + 0.245 = 0.755.

8 0

3 years ago

What is the solution? you can solve using elimination or substitution.

Alexxx [7]

Plug in the x+3 for y.
8x-x+3=12
7x=9
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Then, y= -0.25

3 0

3 years ago

Read 2 more answers

Complete the statement if 8 = m/4 then m - 12 =

Agata [3.3K]

8 = m/4

8(4) = m/4(4)
m = 8(4)
m = 32

m - 12 =
(32) - 12 =
20

Your answer is 20

Hope this helps

8 0

3 years ago

After eating La Huerta your subtotal was 25.72$ you want to leave a 15% tip. 15% as a decimal is

SOVA2 [1]

15% as a decimal is 0.15

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2 years ago

Complete the equation of the line through (2, -2) and (4,1)

Ann [662]

Answer:

y = 3/2x - 5

Step-by-step explanation:

To find the equation of the line

Step 1: find slope

( 2 , -2) ( 4 , 1)

x_1 = 2

y_1 = -2

x_2 = 4

y_2 = 1

Insert the values into

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 1 - (-2) / (4 - 2)

= ( 1 + 2) / ( 4 -2 )

= 3 / 2

m = 3/2

Step 2: substitute m into the equation

y = mx + c

y = 3/2x + c

Step 3: substitute any of the two points into the equation

Let's pick (4 , 1)

x = 4

y = 1

y = 3/2x + c

1 = 3/2(4) + c

1 = 3*4/2 + c

1 = 12/2 + c

1 = 6 + c

1 - 6 = c

c = 1 - 6

c = -5

Step 4 : substitute c into the equation

y = 3/2x + c

y = 3/2x - 5

The equation of the line is

y = 3/2x - 5

3 0

3 years ago