The gas tank in Ms. Brown's car holds a total of 15 gallons. At any given time, how many gallons, g, will Ms. Brown have to pump into her car to fill her tank given the fraction of the tank,f, already filled?

A. g = 15f
B. g = f​​15/f
C. g = 15−15f
D. g = 15-15/f​

The equation of the line that passes through the point (22,12) and has a slope of 4 is; y = 4x - 76

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Where x₁ - x coordinate and y₁ - y coordinate

Point (22,12)

Then Slope m =4

Now Write the equation as

y - 12 = 4(x - 22)

y = 4x - 76

Hence, the standard form of the line is; y = 4x - 76

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7/8=0.875

42/48=0.875

Hope this helps!

Answer:

12.5%

Step-by-step explanation:

We have been given that Leslie has a total monthly budget of $4000 and spends $500 on a car payment.

To find the percentage of her monthly budget is dedicated to the car payment, we will find 500 is what percent of 4000.

[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{500}{4000}\times 100\%[/tex]

[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{50}{4}\%[/tex]

[tex]\text{Leslie's monthly budget dedicated to car payment}=12.5\%[/tex]

Therefore, 12.5% of Leslie's monthly budget is dedicated to the car payment.

Answer: A. [tex]\dfrac{1}{2}x+y=3[/tex]

Step-by-step explanation:

The equation of a line passing through two points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Then the equation of a line passing through two points (0,3) and (6,0) is given by :-

[tex](y-3)=\dfrac{0-3}{6-0}(x-0)\\\\\Rightarrow\ y-3=\dfrac{-1}{2}x\\\\\Rightarrow\ \dfrac{1}{2}x+y=3[/tex]

Hence, the equation which is graphed in the given picture :-

[tex]\dfrac{1}{2}x+y=3[/tex]

Answer:

D

Step-by-step explanation:

you divide the x and y axis by 3

Got it right on EDG

What is the answer because I don't get it

Answer:

2.95 x + 39.95 (12)

Hope this helps!!

The yearly cost for a student's movie rentals with a monthly subscription fee and a per-movie fee is expressed as $479.40 + $2.95x, where x is the number of movies rented.

The yearly cost for x movie rentals from an on-demand movie company that charges a monthly fee and a per-movie fee can be represented by an algebraic expression. To find this expression, we need to account for both the monthly fee and the cost per movie.

The monthly fee is $39.95, so over one year, this fee would be 12 times $39.95.

For each movie rented, there is an additional charge of $2.95. If x movies are rented over a year, this cost is x times $2.95.

Combining these two costs gives us the total yearly cost:

Yearly Cost = (12 \(\times\) $39.95) + ($2.95 \(\times\) x)

This can be simplified to:

Yearly Cost = $479.40 + $2.95x

Answer:

23500

Step-by-step explanation:

We are given that

Number of species of mammals on earth=approximately 45 hundred=4500

Number of species of fish=[tex]2.8\times 10^4=2.8\times 10000=28000[/tex]

We have to find the difference between the number of species of mammals and fish.

In order to find the difference in the number of species we will subtract number of species mammals from the number  of  species of fish.

Difference=28000-4500=23500

Hence, the difference between the number of species of mammals and fish=23500

Answer:

23,500

Step-by-step explanation:

45 hundred = 45 × 100 = 4,500

2.8 × 10^4 = 28,000

28,000 - 4,500 = 23,500

Answer:  The required factored form is [tex](x+3)(3y-5).[/tex]

Step-by-step explanation:  We are given to factor the following polynomial :

[tex]P=x(3y-5)+3(3y-5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following factorization formula :

[tex]a(b+c)+d(b+c)=(a+d)(b+c).[/tex]

So, from expression (i), we get

[tex]P\\\=x(3y-5)+3(3y-5)\\\\=(x+3)(3y-5).[/tex]

Thus, the required factored form is [tex](x+3)(3y-5).[/tex]

Answer:

6, 8, 10, 12

Step-by-step explanation:

x + (x + 2) + (x + 4) + (x + 6) = 4x + 12.

4x + 12 = 36

24 = 4x

x = 6

Answer:

coresponding angles buddy

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

The degree of the polynomial function f(x) is 4.

The roots of the equation f(x)=0 are [tex]−6 , −2 , 1,[/tex] and 3.

We are given with four roots. they are the x intercepts

x intercepts are [tex]−6 , −2 , 1,[/tex] and 3

The polynomial has degree 4, the polynomial goes up on both sides

We look at the graph that has x intercepts [tex]−6 , −2 , 1,[/tex] and 3 and both ends of the graph goes up

option B is correct

The graph that could be the graph of f(x) is;

The second graph which is the one at the top right

We are told that;

Degree of polynomial f(x) = 4; This means it has 4 roots

Roots of polynomial = -6, -2, -1 and 3

The roots of a polynomial simply means the values of x at which the function f(x) is equal to zero. This simply means the x- intercept is the root.

Thus, the x-intercept of the correct graph should be at;

x = -6; x = -2 ; x = -1 and x = 3

Looking at the given graphs, the only one that has its' x-intercepts at x = -6; x = -2 ; x = -1 and x = 3 is the second graph at the top right.

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38 cannot be the perimeter of the triangle.

The sum of any two sides of a triangle is greater than or equal to the third side.

Given:

Two sides are 12 and 7.

Using Triangle Inequality Theorem, we have

In ΔABC,

So,

12 + 7 > C

19 > C

C < 19

So, the third side should be less than 19.

Let us take maximum possible values,

C  =18.999

Then, perimeter will be,

12 + 7 + 18.999 = 37.999

Hence, 38 cannot be the perimeter.

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Answer:

Step-by-step explanation:

= 10(1+1)^4 the final answer is 160

How I got 4 is you divide 30\ 120 =4

After 120 days there will be 160 rabbits on the farm.

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Rabbits population can double every 30 days.

Initially there are 10 rabbits in a farm.

So, after 30 days there would be 10 × 2 = 20 rabbits.

After next 30 days, there would be

20 × 2

= 10 × 4

= 10 × 2²

= 40 rabbits.

Let t be the number of days and x be the number of rabbits.

So, we have an equation:

[tex]x=10\times2^{\frac{t}{30} }[/tex]

No, we find the number of rabbits after 120 days.

t = 120

So, the equation becomes,

[tex]x=10\times2^{\frac{t}{30} }\\\\x=10\times2^{\frac{120}{30} }\\\\x=10\times2^{4}\\\\x=10\times 16\\\\x=160[/tex]

Therefore, after 120 days there will be 160 rabbits on the farm.

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Option B is correct. The measure of m<RSP  is 49 degrees

From the diagram shown

3x + 2x + 1 + 8y - 13 = 180

5x + 8y - 12 = 180

5x + 8y = 180  + 12

5x + 8y = 192 ................. 1

Also, since PQ is parallel to PS, hence;

5y +14 = 8y - 13 (alternate interior angle)

5y - 8y = -13 - 14

-3y = -27

y = 27/3

y = 9

Substitute y = 9 into equation 1

5x + 8y = 192

5x + 8(9) = 192

5x + 72 = 192

5x = 192 - 72

5x = 120

x = 120/5

x = 24

Get the measure of <RSP

m<RSP = 2x + 1

m<RSP = 2(24) + 1

m<RSP = 48 + 1

m<RSP  = 49degrees

Hence the measure of m<RSP  is 49 degrees

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Answer:

D. 14+11i

Step-by-step explanation:

Edge

area of a triangle = 1/2 base x height

56.4 = 1/2 x 12 x height

56.4 = 6 x height

height = 56.4 /6 = 9.4cm

Molly's gross income is $360, and after subtracting her total deductions ($66.04), her net income is $293.96. This demonstrates the difference between gross and net income.

To find Molly's net income, we will first need to calculate her gross earnings, and then subtract her deductions. Molly's gross earnings are her hourly wage multiplied by the number of hours she worked, so: $8/hr * 45 hours = $360.

Next, we add up Molly's deductions: $38.50 (federal tax) + $22.32 (Social Security) + $5.22 (Medicare) = $66.04.

Finally, to determine Molly's net income, we subtract her total deductions from her gross earnings: $360 - $66.04 = $293.96.

This example illustrates the concept of gross income versus net income. Gross income is the total amount earned before deductions, and net income is the amount left after deductions have been subtracted, which is the exact amount the employee receives in their paycheck.

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The original price of the dress purchased by Suzie is given by the equation A = $ 32

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original price of the dress be A

Now , the equation will be

The cost of the purchase = $ 27.20

The percentage of the cost of purchase = 85 %

So ,

The original price of the dress x percentage of the cost of purchase = cost of the purchase

Substituting the values in the equation , we get

A x ( 85/100 ) = 27.20

On simplifying the equation , we get

Multiply by 100 on both sides of the equation , we get

85A = 2720

Divide by 85 on both sides of the equation , we get

A = 2720/85

A = $ 32

Therefore , the value of A is $ 32

Hence , the original price of the dress is $ 32

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A. 50x + 250 = 75x + 100 is the correct answer

Answer:

A. 50x + 250 = 75x + 100

Step-by-step explanation:

edge 2022

Answer:

The correct answer is D

Step-by-step explanation:

36 - 8i is correct. Using FOIL we get 30 - 8i - 6i2, but since i2 = -1, we get 30 - 8i - 6(-1), which is 30 - 8i + 6 = 36 - 8i.