Answer:
150 miles
Step-by-step explanation:
let m represent miles
$70 + .70m = $40 + .90m
subtract 40 from each side
$30 + .70m = .90m
subtract .70m from each side
$30 = .20m
divide both sides by .20
150 = m
Answer:
60inches
Step-by-step explanation:
3 times 4 equals 12. 12 times 5 equals 60. so the volume should be 60 inches.
Use this rule: <em>(x^a)^b = x^ab</em>
3(x + 2)^3/5 + 2 = 27
Subtract 3 from both sides
3(x + 2)^3/5 = 27 - 3
Simplify 27 - 3 to 24
3(x + 2)^3/5 = 24
Divide both sides by 3
(x + 2)^3/5 = 24/3
Simplify 24/3 to 8
(x + 2)^3/5 = 8
Take the cube root of both sides
x + 2 = 3/5√8
Invert and multiply
x + 2 = 8^5/3
Calculate
x + 2 = 2^5
Simplify 2^5 to 32
x + 2 = 32
Subtract 2 from both sides
x = 32 - 2
Simplify 32 - 3 to 30
<u>x = 30</u>
Answer:
Step-by-step explanation:
1.
(-2,0) (0,-7) y2-y1
-----------------
x2-x1
-7-0= -7
0- (-2)= 2 ------>>> -7/2 =m or slope
2.
y= -7/2x+b to find b u plug in one pair of coordinates for example (-2,0)
and use inverse properties to find b
0 = -7/2(-2) + b
14/2 = 7
0= 7+b
-7 -7
-----------
-7=b
3.
y=-7/2x-7
You can write this as a ratio to find the answer, but you first need to convert the gallon of white paint into ounces, which is 160 ounces. The ratio, red to blue to white, is 4:28:160, which you can simplify by dividing by 4 into 1:7:40. If 80 ounces of red tint are used, you need to multiply each value in the ratio by 80, which gives you 80:560:3200. This shows that you need 560 ounces of blue tint, which can also be written as 3.5 gallons. I hope this helps!
