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3 years ago

Jacob Is Twice as old as Sue. The sum of their ages is 69 years. How old is Jacob?

Mathematics

1 answer:

NemiM [27]3 years ago

7 0

$x-Sue\\2x-Jacob\\\\x+2x=69\\\\3x=69\ \ /:3\\\\x=69:3\\\\x=23-Sue\\\\2x=2\cdot23=46-Jacob\\\\Answer:Jacob\ is\ 46.$

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Brock spent $20 at the arcade. This represents 10% of the money earned by working at the pizza parlor last week. How much money

marusya05 [52]

The answer will be $200

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2 years ago

A circle is centered at the point (5,-4) and passes through (-3,2). The equation of this circle is (x+___)²+(y+___)²=____.

JulsSmile [24]

The equation of a circle is:
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the location of the center and r is the radius. So we need to find h, k, and r. The center is given as (5,-4) so h = 5 and k = -4:
(x-5)^2 + (y-(-4))^2 = r^2
(x-5)^2 + (y+4)^2 = r^2
So we need to find r. Use the distance formula to find the distance between (5,-4) and (-3,2):
r = [(5-(-3))^2+((-4)-2)^2]^1/2
r = [8^2 + (-6)^2]^1/2
r = [64 + 36]^1/2
r = 100^1/2
r= 10
The final equation is:
(x-5)^2 + (y+4)^2 = 10^2

7 0

3 years ago

Find the equation of the line that is perpendicular to the line

ddd [48]

Answer:

$y=-x+16$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into $y=mx+b$ :

$y=-1x+b\\y=-x+b$

2) Determine the y-intercept (b)

$y=-x+b$

Plug in the given point (7,9) and solve for b

$9=-7+b$

Add 7 to both sides to isolate b

$9+7=-7+b+7\\16=b$

Therefore, the y-intercept is 16. Plug this back into $y=-x+b$ :

$y=-x+16$

I hope this helps!

6 0

2 years ago

A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly

k0ka [10]

The answer is 2/5.

There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.

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3 years ago

You have found the following ages (in years) of 4 tigers. The tigers are randomly selected from the 31 tigers

777dan777 [17]

Average age of the 4 tigers is 17
add all the ages 22,13,18,16 and divide by

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2 years ago