Answer:
1. 424
2.471
3.512
Step-by-step explanation:
1. 10×12+8×10+8×13+8×15
=120+80+104+120
=424
2. 5×24+9×24+9×15+9×15
=120+216+135
=471
3. 24×16+2×24+2×20+2×20
=384+48+40+40
=512
Answer:
2/5
Step-by-step explanation:
To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.
__
<h3>units conversion</h3>
The conversion factor between minutes and seconds is ...
1 minute = 60 seconds
Multiplying this equation by 3 gives ...
3 minutes = 180 seconds
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<h3>ratio of interest</h3>
Then the desired ratio is ...
(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180
= (36×2)/(36×5)
= 2/5
The ratio in its simplest form is 2/5.
Answer:
not sure how to really answer this question.
Answer:
Step-by-step explanation:
Remark
The slope intercept line is written as y = mx + b in it's general form.
You can get the slope, m, immediately because it is given as -2
So far what you have is y = -2x + b
y intercept
To get the y intercept, use the point (-3 , 4)
x = - 3
y = 4
4 = -2*(-3) + b
4 = 6 + b Subtract 6 from both sides
4 - 6 = 6-6 + b
b = - 2
Line
y = -2x - 2
(a,8)
y = -2a - 2
8 = -2a - 2 Add 2 to both sides
8 +2 = -2a -2+2 Combine
10 = - 2a Divide by - 2
10/-2 = a
a = -5
(5,b)
y = -2x - 2
x = 5
y = b
b = -2*5 - 2
b = -10 - 2
b = - 12