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irina1246 [14]
3 years ago
8

Solve for the missing variable. 1.) 80/120 =2/x

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

\frac{80}{120} = \frac{2}{x}

Simplify, divide the numerator and denominator by the same number

\frac{80}{120}\\

÷ 40

\frac{2}{3}

\frac{2}{3} = \frac{2}{x}

Cross products

2x = 2 *3\\2x = 6\\/2    /2\\\\x = 3

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astraxan [27]

Answer:

1. 81        2. -20      3.  168       4.  -24

Step-by-step explanation:

I hope this is right :)

8 0
3 years ago
1 point<br> What is the center and radius of a circle with equation (x-4)2 + (y - 2)2 = 4
abruzzese [7]

Step-by-step explanation:

Find the Center and Radius (x-4)^2+y^2=4

(

x

−

4

)

2

+

y

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=

4

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

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h

=

4

k

=

0

The center of the circle is found at

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h

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(

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3 0
3 years ago
What is the answer to <br> 3/2x - 5 = y
77julia77 [94]

Answer:

x = \frac{2y + 10}{3}

y = \frac{3}{2}x -5

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
When Brad was born, his Grandma put, $1,500 in a new account for him. Since then, the balance of the account, has grown by 6.5%
marin [14]

Answer:

$969.04

Step-by-step explanation:

now at age of 18 Brad has 1500 * 1,065^18

at age of 21 he will have 1500 * 1,065^21

if he waits the difference will be 1500 * 1,065^21 - 1500 * 1,065^18 = $969.04

6 0
3 years ago
Chin Woo bought a home for $160,000. He put down 20%. The mortgage is a 8 1/2% for 25 years. His yearly payments are?
PolarNik [594]
Amount of the mortgage after down payment is
160,000−160,000×0.2=128,000

Now use the formula of the present value of annuity ordinary to find the yearly payment
The formula is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 128000
PMT yearly payment?
R interest rate 0.085
N time 25 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT= 128,000÷((1−(1+0.085)^(
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6 0
3 years ago
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