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3 years ago

Nine less than the product of three and the number x is equal to one-half the sum of x and 12

1 answer:

4 0

The product of 3 and x is 3x and the given above can be expressed as,

3x - 9 = (1/2)(x + 12)

I assume that the problem asks for the value of x. Solving for x in the equation above gives x = 6.

Thus, the answer is 6.

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6(m-1) = 3(3m + 2) Show all work

nordsb [41]

Answer:

$\boxed{\sf m = -4}$

Step-by-step explanation:

$\sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4$

7 0

3 years ago

A projector enlarges an image in the ratio 20:1. What will be the size of an enlargement of a picture that is 8cm by 6cm?

nydimaria [60]

Answer:

160 cm × 120 cm

Step-by-step explanation:

this means 1 cm turns into 20 cm.

so, 8 cm × 6 cm becomes

8×20 = 160 cm × 6×20 = 120 cm

3 0

1 year ago

LOOK AT THIS!!!!!!!!!!!!!!!!!!!!!!!

Gelneren [198K]

Answer:

8 x 1^2 = 8

have a good day and be safe

-Hops

8 0

3 years ago

A number is chosen at random from 1 to 15. Find the probability of

Brut [27]

Answer:

Correct option is

5/2

Total no. of numbers=15

No. of prime numbers between 1 to 15=6(2,3,5,7,11,13)

Probability = 15

6 = 52

5 0

3 years ago

Write the formula for the following sequence.<br>5.8, 3.6, 1.4,...<br>PLEASE SHOW YOUR WORK.

sladkih [1.3K]

$tn = t(n - 1)- 2.2$

common difference is

3.6 - 5.8 = -2.2

let T1 = 5.8

T2 = 3.6

assuming we are to find T2

T2 = T(2-1) -2.2

= T1 -22

= 5.8 -2.2

= 3.6

3 0

3 years ago