Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work?

Answers

Answer 1

Answer: n/45 + n/35 = 2.5

[7n + 9n]/35 = 787.5

16n = 787.5

n = 787.5/16

n = 49.21875 miles

Answer: 49.21875

Answer 2

Answer: the answer is 49.21875

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The width of a rectangle is 5 feet, and the diagonal is 8 feet. Which is the area of the rectangle? (Round to nearest hundredth.)

Answers

$The \ formula \ for \ the \ area \ of \ a \ rectangle \ is: \n\nA=l\cdot w\n where \ l \ is \ the \ length, \ w \ is \ the \ width \n\n w = 5 \feet , \n diagonal: \ d= 8 \ feet \n \n apply \ the \ Pythagorean \ Theorem:$

$d^2=w^2+l^2 \n \nl^2=d^2-w^2\n\nl^2=8^2-5^2\n\nl^2=64-25\n\nl^2=39$

$l=√(39)\n\nl \approx 6.244998 \ feet\n\nA= 6.244998 * 5= 31.22499\approx 31.23 \ feet^2$

If an automobile travels 450 yards in 15 seconds, how many feet does it travel in 1/3 of a second?how do I calculate this problem?

Answers

You can calculate it from the formula for velocity
v= $(s)/(t)$
if it travels 450 yards in 15 seconds
s=450 yards t= 15s
1 yard = 3 feet so
s= 1350 feet
v= $(1350)/(15)=90 (feet)/(s)$
so if in one second it travels 90 feet, in $(1)/(3)$ of a second it travels $(90)/(3) =30$ feet

Jane needed to empty 18 gallons of water from a tub into jugs that hold a 0.5 gallons of water how many drugs did Jane need

Answers

36 should be your answer

The volume of a rectangular box is 1,701 cubic inches. The box has a height of 10.5 inches and a length of 24 inches. What is the width of the box?6.75 inches

70.875 inches

162 inches

252 inches

Answers

6.75 inches. 10.5 X 24 gives you the area of the face, then to find the width you do the total area divided by this number. 1701/252=6.75

The volume of a cuboid is:
width x depth x height

Hence we can formulate this equation for the volume:
10.5 x 24 x width = 1,701
252 x width = 1,701
Width = 6.75 (divide by 252)

Check for the equation:
10.5 x 6.75 x 24 = 1,701.

Hope I helped!

Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. The cone has a height of 4.5 inches and a radius of 1.5 inches.

Answers

The answer is 10.6 cubic inches.

The formula for a volume of the cone is V = 1/3 π r² h,
where:
V - the volume of the cone,
r - radius of the cone base,
h - height of the cone.

It is given:
h = 4.5 in
r = 1.5 in.
π = 3.14

If:
V = 1/3 π r² h,
Then:
V = 1/3 × 3.14 × (1.5 in)² × 4.5 in
V = 1/3 × 3.14 × 2.25 × 4.5 in³
V = 10.6 in³

Therefore, Judy's sugar cone can hold 10.6 in³.

B) 10.6 cubic inches

What is 2.5 % of 16 ?

Answers

Multiply .025 by 16. You always move the decimal to the left two places to turn a percentile to a decimal.

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