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2 years ago

13

Lydia drove 216 miles and used 6 gallons of gasoline on a recent trip. Which of the following represents the unit rate of gasoli

ne used on this trip?

2 answers:

yulyashka [42]2 years ago

7 0

Step-by-step explanation:

is their an attachment for the problem?

Anarel [89]2 years ago

4 0

Answer:

36

Step-by-step explanation:

divide 216 by 6

216 ÷ 6 =

36

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On a certain exam, Tony corrected 20 papers and found the mean for his group to be 70. Alice corrected the remaining 10 papers

son4ous [18]

Answer:

The mean of the combined group is 76.67 ≈ 77

Step-by-step explanation:

The sum of the grades in Tom's group is 20×70 = 1400
The sum of grades in Alice's group is 10×90=900
The sum of gradees in the combined group is =1400+900=2300
Then the mean grade of the combined group is $\frac{2300}{30}=76.67$

where

2300 is the sum of the all grades in the combined group
30 is the total number of people in the group

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2 years ago

balu736 [363]

Answer:

Step-by-step explanation:

Statements Reasons

1). SP ≅ TP 1). Given

2). PQ bisects ∠SPT 2). Given

3). ∠SPQ ≅ ∠TPQ 3). Definition of angles bisector

4). PQ ≅ PQ 4). Reflexive property of congruence

5). ΔSPQ ≅ ΔTPQ 5). SAS property of congruence

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2 years ago

Problems; e.g. 200 bottles of equal capacity hold 350 litres of water.

zheka24 [161]

Answer:

1.75liters per bottle

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

Mkey [24]

Answer:

$1.~e^{-2} \\2.~e^{\frac{7}{2}}\\3.~e^8\\4.~e^{\frac{-11}{2}}$

Step-by-step explanation:

We have to simplify the given exponential exponents.

Exponential Properties:

$e^0 =1\\e^a.e^b = e^{a+b}\\\\\displaystyle\frac{e^a}{e^b} = e^{a-b}\\\\(e^a)^b = e^{ab}\\\\e^{-a} = \frac{1}{e^a}$

Simplification takes place in the following manner:

a)

$(e^{-3})^\frac{2}{3}\\(e^a)^b = e^{ab}\\=e^{-3\times \frac{2}{3}}\\=e^{-2}$

b)

$(e^4)(e^{\frac{-1}{2}})\\e^a.e^b = e^{a+b}\\=e^{(4+\frac{-1}{2})} \\= e^{\frac{7}{2}}$

c)

$(e^{-2})^{-4}\\(e^a)^b = e^{ab}\\= e^{-2\times -4}\\=e^8$

d)

$(e^{-4})(e^{\frac{-3}{2}})\\e^a.e^b = e^{a+b}\\=e^{(-4+\frac{-3}{2})} \\= e^{\frac{-11}{2}}$

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2 years ago

The number of pepperoni slices that kim puts on a pizza varies directly as the square of the diameter of the pizza. If she puts

seropon [69]

You can make this into a fraction, and then simplify it.

15/10, right?

15/10 = 3/2

Then compare 3/2 to the rest of the equation

3/2 = x/16

2 * 8 = 16
so
3 * 8 = x
x = 24

Kim would put x number of pizza slices on her pizza.
So she would be putting on 24 slices on her pizza.

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2 years ago

Read 2 more answers