Answer: 3 miles per hour
<u>Step-by-step explanation:</u>
Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.
Let "r" represent the rate they are rowing
Let "c" represent the current
time rate distance <u>EQUATION</u>
Downstream: 4 hours r + c 40 miles 4(r + c) = 40
Upstream: 10 hours r - c 40 miles 10(r - c) = 40
Distribute, then eliminate r to solve for c:
Down: 4r + 4c = 40 → 5(4r + 4c = 40) → 20r + 20c = 200
Up: 10r - 10c = 40 → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u> -80</u>
40c = 120
<u> ÷40 </u> <u>÷40 </u>
c = 3
Estimate the total amount you should plan to spend on gasoline for the entire trip
<em>Total distance of the trip</em> = 1430 miles
<em>After 350 miles, refill tank</em> = $35
This means 350 miles cost $35
1430 miles cost $x
solve using ratio
350 : 35 = 1430 : x
350/35 = 1430 / x
10 = 1430/x
<em>cross product</em>
10x = 1430
<em>Divide both sides by 10</em>
x = 1430 / 10
x = $143
Therefore, the total amount you should plan to spend on gasoline for the entire trip is $143
Read more:
brainly.com/question/18520020
Search the square root of ____ on Google
Answer: x = 9
Mel's mistake was in the last step, she multiplied by 2 instead of dividing by 2
Step-by-step explanation:
2x + 1 = 19
Subtract 1 from each side
2x = 18
Divide by 2
x = 9
Answer:
D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.
Step-by-step explanation:
The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).
To transform A to be we need a combination of two transformations, and that is dilation and rotation.
If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.
