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3 years ago

Find each unit rate and determine which rate is greater: 364 miles on 14 gallons or 432 miles on 18 gallons

Mathematics

1 answer:

katrin2010 [14]3 years ago

6 0

Answer:

364 miles on 14 gallons is a greater rate

Step-by-step explanation:

To find the unit rate divide the total miles by the gallons used

364/14 = 26 MPG

432/18 = 24 MPG

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PLEASE PLEASE PLEASE HELP ME

lubasha [3.4K]

Answer:

CE = 17

Step-by-step explanation:

∵ m∠D = 90

∵ DK ⊥ CE

∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK

In the two Δ KDE and KCD:

∵ m∠KDE = m∠KCD

∵ m∠DKE = m∠CKD

∵ DK is a common side

∴ Δ KDE is similar to ΔKCD

∴ $\frac{KD}{KC}=\frac{DE}{CD}=\frac{KE}{KD}$

∵ DE : CD = 5 : 3

∴ $\frac{KD}{KC}=\frac{5}{3}$

∴ KD = 5/3 KC

∵ KE = KC + 8

∵ $\frac{KE}{KD}=\frac{5}{3}$

∴ $\frac{KC+8}{\frac{5}{3}KC }=\frac{5}{3}$

∴ $KC + 8 = \frac{25}{9}KC$

∴ $\frac{25}{9}KC - KC=8$

∴ $\frac{16}{9}KC=8$

∴ KC = (8 × 9) ÷ 16 = 4.5

∴ KE = 8 + 4.5 = 12.5

∴ CE = 12.5 + 4.5 = 17

7 0

3 years ago

What equation can relate to this sentence 11 is the quotient of a number y and 6 ?

Natalija [7]

Answer: 11 = y ÷ 6

Step-by-step explanation: since the problem says 11 is that means the equation equals 11 and when it says quotient that means that the equation must include division.

4 0

4 years ago

You place a billiard cue against a billiard table. The foot of the billiard cue is 15 cm away from a table and the top of the bi

irinina [24]

Answer:

It would be 4

Step-by-step explanation:

When dealing with slope its always going to be rise over run, so 60/15 is 4

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Write the following comparison as a ratio reduced to lowest terms 14 nickels to 15 dimes

miskamm [114]

14x5=70
15x10=150
Answer- 7:15

7 0

4 years ago

Three friends decide that they each want to be able to buy a new bike in four years.IIiana puts $500 in a savings account with a

Lisa [10]

Answer:

Iliana will have the most money, with a total of $580

Step-by-step explanation:

We can find the amount of money that each one will have using the formulas of interest:

For Iliana and Joann, simple interest: Total money = P + P*r*t

For Cyndy, compound interest: Total money = P*(1+r)^t

So, using the time of four years, we can calculate the total money of each one:

Iliana: P = 500 and r = 0.04:

Total money = 500 + 500*0.04*4 = $580

Joann: P = 515 and r = 0.03:

Total money = 515 + 515*0.03*4 = $576.8

Cyndy: P = 500 and r = 0.035:

Total money = 500*(1+0.035)^4 = $573.7615

So Iliana will have the most money, with a total of $580

6 0

3 years ago

Read 2 more answers