200 miles
You just multiply 50 by 4.
:) have a good day !
Answer:
the number is 105
Step-by-step explanation:
5(x+3) = 3(2x - 1)
5x + 15 = 6x - 3
15 = 1x - 3
(15 + 3)
x = 18
Answer:
Step-by-step explanation:
Given the inequality solved by a student expressed as:
-6v>42
To get v, follow the simple steps
Step 1: multiply both sides by -1
-6v>42
-1(-6v)<-1(42)
6v < 42 (Note that when you multiply both sides of an inequality by a negative sign, the inequality sign will change)
Step 2: Divide through by 6
6v < 42
6v/6 < 42/6
v < 7
Hence the range of values of v are the values of v less than 7
Since we are not given the options, you can compare the solution given with that of the student to figure out the error. The major error that may happen is the different not changing the inequality sign after multiplying or dividing with a negative value as shown.
Answer:
a) y-intercept = 17; initial design strength percentage
b) slope = 2.8; increase in that percentage each day
c) 29.6 days to 100% design strength
Step-by-step explanation:
a, b) The equation is in the form called "slope-intercept form."
y = mx + b
where the slope is m, and the y-intercept is b.
Your equation has a slope of 2.8 and a y-intercept of 17.
The y-intercept is the percentage of design strength reached 0 days after the concrete is poured. The strength of the concrete when poured is 17% of its design strength.
The slope is the percentage of design strength added each day after the concrete is poured. The concrete increases its strength by 2.8% of its design strength each day after it is poured.
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c) To find when 100% of design strength is reached, we need to solve for x:
100 = 2.8x +17
83 = 2.8x
83/2.8 = x ≈ 29.6
The concrete will reach 100 percent of its design strength in about 30 days.
