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Mumz [18]
3 years ago
9

middle" class="latex-formula">
Mathematics
2 answers:
BabaBlast [244]3 years ago
6 0

Rearrange terms

⟹ 211 = 6(3 + 8x) + 1 \:  \\ ⟹211 = 6(8x + 3) + 1

Add the numbers

⟹ 211 = 48x + 19

Subtract 19 from both sides of the equation

⟹211 = 48x + 19 - 19

Subtract the numbers

⟹  \: 192 = 48x + 19 - 19

⟹\: 192 = 48x

Divide both sides of the equation by the same term

Divide the numbers

\\ ⟹  \frac{192}{48x}  =  \frac{48x}{48} \\ \:  ⟹  \:  \:  \:  \:  \:  \:  \: 4 =  \frac{48x}{48}

Cancel terms that are in both the numerator and denominator

\\ \: ⟹\:  4 =  \frac{48x}{48}

Move the variable to the left

\\ ⟹4 = x

\\ ⟹x = 4

⇒ \:  Ans \: ⇒ x = 4 \: ⇐

harkovskaia [24]3 years ago
5 0
X=4
211=18+48x+1
211=19+48x
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a)C

b)E

Step-by-step explanation:

a) You have to pick a vowel. There are three vowels and a total of 6 letters so it is 3/6 so the answer is C

b) Picking a card that is not T. None of the 6 letters are T so the probablity of picking a card with no T is 1. So the answer is E.

4 0
3 years ago
CAN SOMEONE PLEASE HELP ME I'M STUCK. PLEASE<br> I don't understand and know how to solve it.
xenn [34]

Answer:

7/10

Step-by-step explanation:

red + green = 50 + 20 = 70 marbles

Total marbles = 50 + 30 + 20 = 100 marbles

P(red or green) = 70/100

P(red or green) = 7/10

8 0
3 years ago
Malaya is making a collage of her birthday party photos and she wants to add an 8 x 10 inch. photo. Since there is not enough sp
sergij07 [2.7K]

Answer:

The answer is C. 6.4 X 8 in

Step-by-step explanation:

If the scale factor from the original to the trimmed photo is 5:4

The statement above just means the scale of the old dimension is 5 while the scale of the new dimension is 4.

To get the new dimensions, multiply each of the old dimensions by 4/5

4/5 X 10 = 8

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3 0
4 years ago
The information above describes the real GDP per capita for a country for the period from 1985 through to 2001. If a new busines
topjm [15]

Answer:

The question is incomplete, here is the complete question.

Year                               Real GDP per Capita

1985                                          6,000

1986                                          6,300

1987                                           6,700

1988                                           7,200

1989                                           7,850

1990                                           8,250

1991                                            8,450

1992                                           8,550

1993                                           8,575

1994                                           8,510

1995                                           8,370

1996                                           8,100

1997                                            7,950

1998                                           7,925

1999                                           7,960

2000                                          8,035

2001                                            8,155

The information above describes the real GDP per capita for a country for the period from 1985 through to 2001. If a new business cycle began in 1985, how long was this cycle? In which year did the peak occur? The trough occurred in which year? How long was the expansion? How long was the recession?

Step-by-step explanation:

a.If a new business cycle began in 1985, how long was this cycle?

The business cycle describes the rise and fall in production output of goods and services in an economy. In the data given above, a business cycle is complete in the year 1998. If the cycle started in 1985 then it was 14 years long.

b. In which year did the peak occur? The trough occurred in which year?

In the data given above, the peak occured in year 1993 (GDP per capita of 8,575) and trough occurred in the year 1998 (GDP per capita of 7,925).

c. How long was the expansion? How long was the recession?

Expansion was 9 years long (1985-1993) and recession was of 5 years (1994-1998).

7 0
3 years ago
If f(x) = 3x - 2 and g(x) = 2x+1, find (f+ g)(x).<br><br> A. 5x-1<br> B. X-3<br> c. 5x-3<br> D. X-1
Vladimir79 [104]

Answer:

A. 5x - 1

Step-by-step explanation:

  3x - 2

+ 2x + 1

------------

5x-1

7 0
3 years ago
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