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3 years ago

10

Khloe's car used 8 gallons of gas to drive 272 miles. At what rate does her car use gas in gallons per mile? Express your answer

in simplest form.

1 answer:

sweet [91]3 years ago

8 0

To find gallons per mile, divide total gallons by total miles:

8 / 272 = 1/34 gallon per mile

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Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t

dybincka [34]

Answer:

$P(t)=37\cdot 4^{t/9.1}$

Explanation:

This is an exponential growing: there is a constant growing<em> factor </em>which multiplies the value number of letters sent every week.

The growing factor <em>4 letters every 9.1 weeks</em> means that every 9.1 weeks the number of letters is multiplied by 4.

Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.

Then, the exponential<em> function</em> <em>that models the number of people who receive the email t weeks since Tobias initially sent the chain letter</em>, has the form:

$P(t)=Initial\text{ }value\cdot 4^{(t/9.1)}$

<em>Tobias initially sent the chain letter to 37 friends</em>; thus, the initial value is 37, and the complete function is:

$P(t)=37\cdot 4^{t/9.1}$ , where t is the number of weeks since Tobias initially sent the chain letter.

7 0

3 years ago

CERTAIN ANSWERS ONLY!!! There should 4 answers, thank you in advance. It may be a bit difficult sorry. Thank you :)

yaroslaw [1]

Answer:

See Below.

Step-by-step explanation:

We are given that ∠1 and ∠7 are supplementary.

And we would like to prove that a is parallel to b.

Statements: Reasons:

$\textbf{\textsf{1. $\angle 1$ and $\angle 7$ are supplementary}}$ Given

$\textsf{2. $m\angle3$ + $m\angle 7$ $= 180$}$ Supplementary Angles

$\textsf{3. $\angle3$ and $\angle7$ are supplementary}$ Definition of Supplementary

$\textsf{4. }\bf{\angle 1 \cong \angle3}$ Congruent Supplements Theorem

$\textsf{5. }a\parallel b$ Corresponding Angles Converse

And we are done!

3 0

3 years ago

Read 2 more answers

Plz solve if you can. Show ur work. I will name Brainliest! (: I need help plzzzzzzzzzz, especially on the check your work part.

maksim [4K]

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

<u>Check your work</u>

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

<u>Check your work</u>

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

<u>Check your work</u>

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

<em>Hope it helps <3</em>

6 0

3 years ago

A 64-ounce container of sports juice costs $6.50. A 48-ounce container of the same juice costs $4.25. Which juice container is t

larisa86 [58]

Answer:

The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Step-by-step explanation:

In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:

64-ounce container: 6.50/64=0.10

48-ounce container: 4.25/48=0.08

According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

6 0

3 years ago

A survey records many variables of interest to the researchers conducting the survey. The following are some of the variables fr

Musya8 [376]

Answer:

The correct option is D

Step-by-step explanation:

A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property. Example of categorical variables are race, sex group and education level.

4 0

3 years ago