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denis-greek [22]
3 years ago
6

Tim’s mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of unleaded gasoline. What is the constant of proport

ionality that relates the cost in dollars, y, to the number gallons of unleaded gasoline, x? *
1 point
$0.31 per gallon of unleaded gas
$3.13 per gallon of unleaded gas
$3.20 per gallon of unleaded gas
$0.32 per gallon of unleaded gas
Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer: C/ $3.20 per gallon of unleaded gas

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo
algol13

Answer:  The required answers are

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

Step-by-step explanation:  We are given the following linear equation in two variables :

3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.

Comparing with the slope-intercept form, we get

\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.

Thus,

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

3 0
4 years ago
Solve the inequality:-3x-4/7 >5
Aliun [14]

x < -  \frac{13}{7}

add \frac{4}{7} to both sides

- 3x > \frac{4}{7} + \frac{35}{7}

- 3x > \frac{39}{7} ( divide both sides by - 3 )

note that when we divide/ multiply by a negative quantity we must reverse the inequality symbol

x < - \frac{13}{7}



6 0
4 years ago
PLz i need help will mark brianly
gulaghasi [49]
Since both the expressions in x are equal to y then they are equal to each other, so

-2x + 3 = 13x - 4

-15x + 3 = -4

-15x = -7 

x = 7/15

and y = -2(7/15) + 3 =  31/15  = 2 1/15
3 0
4 years ago
Read 2 more answers
Is this correct? formula is displayed on image:
Len [333]

Answer:

no it should bee

\tan( \alpha )  =  \frac{15}{8}

7 0
3 years ago
Read 2 more answers
What is the square root of <br> X of the power of 2 -1 =80?
zepelin [54]

Answer:

x=6561

Step-by-step explanation:

We can solve this equation for x to get

\sqrt{x} -1=80\\\\\sqrt{x} =81\\x=(81)^2\\\\x=6561

5 0
3 years ago
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