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schepotkina [342]
4 years ago
8

Find each unit rate 1)78mi on 3gal 2)$52.50 in 7 hours 3)416 mi in 8 hours

Mathematics
1 answer:
Andreas93 [3]4 years ago
6 0
1) Unit Rate = 26:1
We already know that for every 3 gallons, you can travel 78 miles. Divide 78 by 3 to get 26. The 26 stands for how many miles you can travel on one gallon.

2) Unit Rate = $7.50:1
Since we already know that for every 7 hours, you earn $52.50, divide 52.50 by 7 to get 7.50. The 7.50 represents how much money you earn in 1 hour.

3) Unit Rate = 52:1
Since you can travel 416 miles in 8 hours, divide 416 by 8 to get 52. The 52 represents how many mile you can travel in 1 hour alone.

Here's a little hint too: (If I remember correctly) For unit rates, it's always going to be *any number* to 1. So even if it's a decimal or a negative, the other side of the rate always has to be 1 :)

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During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist
ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles  

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484   miles

Let The distance drove by Lana = L   miles

The distance drove by Tony = T

The distance cover by Mark = M

So ,  L + T + M = 484 miles

Now, The distance of Tony = \frac{1}{3} of Lana distance

Or,   T = \frac{1}{3} × L

And The distance of Mark = 15 + The distance of Lana

Or,   M = 15 + L

Now.

   L + \frac{1}{3} × L + 15 + L = 484

Or, 2 L + \frac{L}{3} = 484 - 15

Or,  2 L + \frac{L}{3} = 469

Or,  \frac{7 L}{3} = 469

Or,  7 L = 469 × 3

∴     L =  \frac{1407}{7}

I.e   L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony =  \frac{1}{3} × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles    Answer

8 0
3 years ago
URGENT PLS!!
IrinaVladis [17]

Answer:

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Step-by-step explanation:

6 0
3 years ago
A wooden lead pencil is in the shape of a cylinder. The pencil is 21 cm long with radius 0,4 cm and its lead is of radius 0,1 cm
exis [7]

Answer:

Answer3. 9.9cm^3

Step-by-step explanation:

First calculate the volume of the whole pencil. Next, calculate the volume of the lead. Last, subtract. Take away the volume of the lead from the volume of the pencil:

VolWood =

VolPencil - VolLead

First, Volume of the pencil:

vol = pi•r^2•h

= 3.14•(.4)^2•21

= 10.5504 cm^3



Next, volume of lead:

vol = pi•r^2•h

= pi•(.1)^2•21

= .6594cm^3

Last, subtract:

VolWood =

VolPencil - VolLead

= 10.5504 - .6594

= 9.891

~= 9.9cm^3

The volume of the wood is 9.9cm^3.

6 0
2 years ago
How to solve -6(3-x)=18
yawa3891 [41]

Answer:

X=6

Step-by-step explanation:

isolate the variable by dividing <em>each side</em> <u>by factors </u>that dont contain the variable.

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7 0
3 years ago
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Out of 190 CDs tested, 26 are defective. Estimate the number of defective CDs in a batch of 1000.
liberstina [14]

Divide the number of defective by the number checked:

26/190 = 0.1368

Multiply that by 1000:

0.1368 x 1000 = 136.8

Round up to 137

Out of 1000 cd’s 137 would be defective

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3 years ago
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