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o-na [289]
3 years ago
6

You are running a fuel economy study. One of the cars you find is red. It can travel 24 4/5 miles on 4/5 gallon of gasoline. Wha

t is the unit rate for miles per gallon for the red car?
Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline {and thats about it!}

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Solve for<br> Help me please
Delvig [45]

Answer:  The first one: 2 square roots of 3

Step-by-step explanation:

4/2 would give you the base= 2

2x the square root of 3 would give you the height, or altitude.

2 square roots of 3

3 0
2 years ago
Verify the identity
Thepotemich [5.8K]

<u>Given</u>:

Given that we need to prove the identity \sin x+\sin x \tan ^{2} x=\tan x \sec x

<u>Proof</u>:

Step 1: Factor out the common term sin x, we get;

\sin x\left(1+\tan ^{2} x\right)=tan \ x \ sec \ x

Step 2: Using the identity 1+tan^2 x=sec^2x

\sin x \sec ^{2} x=tan \ x \ sec \ x

Step 3: Reciprocating sec x, we get;

\sin x \cdot \frac{1}{\cos ^{2} x}=tan \ x \ sec \ x

Step 4: Splitting the denominator, we have;

\frac{\sin x}{\cos x} \cdot \frac{1}{\cos x}=tan \ x \ sec \ x

Simplifying, we get;

\tan x \sec x=\tan x \sec x

Thus, the identity is proved.

5 0
3 years ago
emma wants a barbie doll that cost $7.00 . she had only $3.29. how many more money she needs to buy a barbie? use estimate to so
d1i1m1o1n [39]
Round $3.29 to $3. Then subtract $7 and $3 to get $4
4 0
2 years ago
A gas tank contains 5.3 gallons.the capacity of the tank is 12.5 gallons.how much will it cost to fill the tank at $1.30 per gal
fredd [130]

Answer:

$9.36

Step-by-step explanation:

First 12.5 - 5.3 = 7.2

7.2 x 1.30 = 9.36

3 0
3 years ago
Think of a problem dealing with two possibly related variables (Y and X) that you may be interested in. Share your problem and d
nata0808 [166]

Answer:

Explained below.

Step-by-step explanation:

Consider the variables height and weight.

It is usually seen that taller people are heavier than shorter people.

So a regression analysis can be used to specify this belief.

The statistical questions that are being asked here are:

  • What the independent and dependent variables?
  • Are there any other factor influencing the dependent variable other than the independent variable?

The variable <em>Y</em> is considered as the dependent variable and the variable <em>Y</em> is considered as the independent variable.  And the main purpose of the regression analysis is to predict the value of <em>Y</em> when the value of <em>X</em> is given.

The linear regression model can be used to predict the past and future value of the dependent variables provided that the independent variables for those times are provided.

5 0
2 years ago
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