Answer:
x= −2/7
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Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(x−2)=−2(x+6)
(5)(x)+(5)(−2)=(−2)(x)+(−2)(6)(Distribute)
5x+−10=−2x+−12
5x−10=−2x−12
Step 2: Add 2x to both sides.
5x−10+2x=−2x−12+2x
7x−10=−12
Step 3: Add 10 to both sides.
7x−10+10=−12+10
7x=−2
Step 4: Divide both sides by 7.
7x/7=−2/7
x=−2/7
Answer:
Length = 13 cm.
Step-by-step explanation:
If the length is L and the width is W we have the system:
2L + 2W = 32
LW = 39
From the first equation:
L + W = 16 and
L = 16 - W
Substitute this in the second equation:
W(16 - W) = 39
16W - W^2 = 39
W^2 - 16W + 39 = 0
(w - 13)(W - 3) = 0
W = 13, 3
As W < L, W must be 3 because L = 16-13 = 3 does not make sense.
So Length = 16 - 3 = 13.
Answer:25
Step-by-step explanation:
73-48=25
To get your answer take the highest number and subtract it from the lowest number
Answer:
PR = 12
Step-by-step explanation:
P-----------Q-----------R----------S
ratio
4:2:1
PS = 14
add the ration = 4 + 2 + 1 = 7
14 / 7 = 2
PQ at 4 x 2 = 8
QR at 2 x 2 = 4
RS at 1 x 2 = 2
------------
14
PR = PQ + QR
PR = 8 + 4
PR = 12
<h3>
Answer: B. 62 degrees fahrenheit</h3>
====================================================
Explanation:
x = elevation in feet
y = temperature in fahrenheit
The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.
The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.
We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60
Now plug in x = 2000 to find the temperature at this elevation
y = 0.001x+60
y = 0.001*2000+60
y = 2+60
y = 62
