Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh? Greg weighs 200 pounds, and Justin weighs 185 pounds. Greg weighs 190 pounds, and Justin weighs 175 pounds. Greg weighs 180 pounds, and Justin weighs 165 pounds. Greg weighs 170 pounds, and Justin weighs 155 pounds.

Answers

Answer 1

Answer: J=G-15
(G/2)=J-75

Substitute
(G/2)=G-15-75
G/2 =G-90
G-G/2= 90
G/2=90
G=180

J=G-15=180-15=165

Greg weighs 180 pounds, and Justin weighs 165 pounds.

Answer 2

Answer:

Answer:

180 and 165

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What is the value of x when 3x=54? A) x=18B) x=51C) x=57D) x=162

A circle is shown. A secant and a tangent intersect at a common point outside of the circle to form an angle that measure 51 degrees. The measure of the first arc formed is x degrees and the measure of the second arc formed is 160 degrees.What is the value of x?

x =

Answers

The value of x in the circle is 58°

Secant and tangent intersection

when a secant and a tangent meets outsides of a circle, the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,

51° = 1 / 2 (160 - x)

Therefore,

51 = 80 - x / 2

51 - 80 = - 1 /2 x

-29 = - 1 / 2 x

multiply both sides by -2

-29 × 2 = - 1 / 2 x × -2

x = 58

Therefore, the value of x is 58 degrees

learn more on secant and tangent here;brainly.com/question/14697178

Answer:

Step-by-step explanation:

just did it on edg

4) A sequence is defined recursively by f(1) = 2and f(n) = 3f(n-1) + 1. Find the first three
terms of the sequence.

- How do I do this question and just Recursive Sequences in general?

Answers

$S=[2,7,22,\dots]$ .

Let me explain why.

$f(1)=2$ this is our first term.

$f(2)=3f(2-1)+1=3f(1)+1=7$ second term.

$f(3)=3f(3-1)+1=3f(2)+1=22$ third term.

...

Pretty simple huh?

Hope this helps.

Answer:

The first 3 terms are 2, 7, 22.

Step-by-step explanation:

The n is the sequence number of the term: f(1) means the first term.

The second term

f(2) = 3f(n - 1) + 1 We make n = 2:

= 3f(2-1) + 1

= 3f(1) + 1 f(1) = 2 so:

= 3*2 + 1

= 7.

3rd term f(3)

= 3f(3 - 1) + 1

= 3f(2) + 1

= 3(7) + 1

= 22.

what is an equation of the line that passes through the point (4,5) and is parallel to the line whose is equation is y=2/3x-4

Answers

Answer:

y = 2/3x + 7/3

Step-by-step explanation:

We know

The line pass through the point (4,5)

The equation is: y = 2/3x - 4

m = 2/3

To solve this, we can use the fact that parallel lines have the same slope. Since the parallel line we're looking for has the same slope, we can use the point-slope form of a linear equation to find its equation:

y - y1 = m(x - x1)

y - 5 = 2/3(x - 4)

y - 5 = 2/3x - 8/3

y = 2/3x + 7/3

So, the answer is y = 2/3x + 7/3

Help? I'll mark brainliest

Answers

Answer:

x=6 y=3

Step-by-step explanation:

x=y+3 replace that in the other problem x+3=3y becomes y+3+3= 3y. solve and get y=3. replace in x=y+3 to get x=6

Solve -6(5+X)+(13X+1)

Answers

-6(5 + x) + (13x + 1)

First, simplify. / Your problem should look like: $-6(5 + x) + 13x + 1$
Second, expand it. / Your problem should look like: $-30 - 6x + 13x + 1$
Third, gather the like terms. / Your problem should look like: $-30 + (-6x + 13x) + 1$
Fourth, simplify. / Your problem should look like: $-30 + 7x + 1$
Fifth, simplify. / Your problem should look like: $7x - 29$

Answer: 7x - 29

Only 2/17 of the teachers were sciolists. If 3000 were not sciolists how many teachers were there in all