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3 years ago

Gorge is 6 years older than his brother and the sum of their ages is 68 years. How old is George?

Mathematics

2 answers:

9966 [12]3 years ago

8 0

Answer: George is 37.

DENIUS [597]3 years ago

5 0

6-68=62 . . . . . . . . . . .

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What is the solution set of the inequality?

jolli1 [7]

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

5 0

3 years ago

Find the length of BC. <br> A.) 14<br> B.) 9<br> C.) 2<br> D.) 3

Vera_Pavlovna [14]

Answer:

A) 14

Step-by-step explanation:

BC is congruent to DC in saying this you can plug the equations to each other and solve for y and then put its back into the equation for BC to get the length.

3y+5=5y-1

subtract 3y from both sides --> 5=2y-1

add 1 to both sides --> 6=2y

now get y alone, divide by 2 by both side --> y=3

plug y in back to 5y-1 --> 5x3-1

15-1

BC = 14

7 0

2 years ago

Find the sum of the first 6 terms of 3 - 6 + 12 + …

Natalka [10]

Answer:

$S_6 = -63$

Step-by-step explanation:

The sequence above is a geometric sequence.

The common ratio (r) = $\frac{-6}{3} = \frac{12}{-6} = -2$

The common ratio < 1, therefore, the formula for the sum of nth terms of the sequence would be: $S_n = \frac{a_1(1 - r^n)}{1 - r}$

a1 = 3

r = -2

n = 6

Plug in the values into the formula

$S_6 = \frac{3(1 - (-2^6)}{1 - (-2)}$

$S_6 = \frac{3(1 - (64)}{1 + 2}$

$S_6 = \frac{3(-63)}{3}$

$S_6 = -63$

6 0

3 years ago

The girl to boy ratio is 3 to 7 if there are 50 students total how many boys

Naddik [55]

Answer:

15 girls, 35 boys

Step-by-step explanation:

Step 1:

3 : 7 Ratio

Step 2:

3x + 7x = 50 Substitute

Step 3:

10x = 50 Add

Step 4:

50 ÷ 10 Divide

Step 5:

x = 5

Answer:

15 girls, and 35 boys Multiply

Hope This Helps :)

5 0

3 years ago

What is the slope intercept from of the equation of the line that that passes through the points (-3, 2) and (1, 5)

viva [34]

The slope-intercept form of a line:

$y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to slope\\\\b\to y-intercept$

We have:

$(-3,\ 2)\to x_1=-3,\ y_1=2\\(1,\ 5)\to x_2=1,\ y_2=5$

Substitute:

$m=\dfrac{5-2}{1-(-3)}=\dfrac{3}{4}$

$y=\dfrac{3}{4}x+b$

Put the values of coordinates of the point (1, 5) to the equation of a line:

$5=\dfrac{3}{4}(1)+b\\\\5=\dfrac{3}{4}+b\qquad|-\dfrac{3}{4}\\\\b=4\dfrac{1}{4}$

Answer: $y=\dfrac{3}{4}x+4\dfrac{1}{4}$

5 0

2 years ago