Your car can drive 300 miles on a tank of 15 gallons. How far can it drive on 40
gallons?

Answer:

y = 1/2x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

When 2 lines are parallel, they have the same slope.

Step 1: Define variables

Random point (2, 6)

m = 1/2

y = 1/2x + b

Step 2: Find b

6 = 1/2(2) + b

6 = 1 + b

5 = b

Step 3: Rewrite parallel linear equation

y = 1/2x + 5

Answer:

k = 7/3

Step-by-step explanation:

Let's first find the equation of line AC. Since point A has an x-coordinate of 0, we know that point A is the y-intercept so when writing the equation of AC in slope-intercept form, we know that b = -2 in y = mx + b (Note that m = slope and b = y-intercept). To find m, we can use points A and C, therefore, m = (0 - (-2)) / (-2 - 0) = 2 / -2 = -1. Now, we know that the equation of line AC is y = -x - 2. To solve for k, we know that point B belongs to AC and that x = -k, y = 5 - 2k in point B, therefore, after plugging those values into y = -x - 2, we get:

5 - 2k = -(-k) - 2

5 - 2k = k - 2

5 - 3k = -2

-3k = -7

k = 7/3

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST =  3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units

Answer:

1/529

Step-by-step explanation:

[tex]23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}[/tex]

Answer:

1/529

Step-by-step explanation:

just done it on edge

Answer:

1,3,5,7,9...

Step-by-step explanation:

All of the answers go up by +2

Answer:

The answer is "239.62%".

Step-by-step explanation:

Given value:

[tex]\bold{\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!} - \frac{x^7}{7!}+....}[/tex]

Solve the first three values:

[tex]\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!}[/tex]

put the value of sin(4.1):

[tex]\to \sin(4.1)=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\[/tex]

                 [tex]=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\=(4.1)- \frac{68.92}{3 \times 2\times 1}+\frac{1158.56}{5\times 4 \times 3 \times 2 \times 1}\\\\[/tex]

                 [tex]=(4.1)- 11.48+9.65\\\\= 2.27[/tex]

The actual value of [tex]\sin(4.1) = -1.59[/tex]

Calculating the percentage relative approximate error value:

Formula:

[tex]=\frac{actual \ value - \ approx \ value }{actual \ value} \times 100\\\\[/tex]

[tex]=\frac{-1.59 - 2.27 }{-1.59} \times 100\\\\= \frac{-3.81}{-1.59} \times 100\\\\= \frac{3.81}{1.59} \times 100\\\\=239.62 \ \%[/tex]

Answer:

9 1/9 per cousin

Step-by-step explanation:

if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.

since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9

Answer:

the answer on eduguinty is 5/48 of the inherrit .

Step-by-step explanation:

:)

Answer:

  2.60 inches

Step-by-step explanation:

Map and actual distances are proportional. So the map distance m for 30.9 miles will be related to the actual distance in the same way the scale is:

  m/30.9 = 1/11.9

  m = 30.9/11.9 ≈ 2.5967

The length on the map is about 2.60 inches.

Answer:

250

Step-by-step explanation:

1540*100 divided by 616

Answer:

p multiplied by 3 is 3p I'm not great at explaining but that's the answer

Answer:

3p

Step-by-step explanation:

Answer:

To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

plz give brainlist

hope this helped

Answer:

Step-by-step explanation:

y - 5 = 3(x + 1)

y - 5 = 3x + 3

y = 3x + 8

answer is C

Answer:

2

Step-by-step explanation:

-4x - 6x = -10x

Divide both sides by -10

Answer:

The answer is the question "Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?"

45.50 ÷ 7 = ?

As per linear equation, 4th problem can be solved by division of decimals.

"A linear equation is an equation in which the highest power of the variable is always 1."

The given questions are:

1. How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon?

This problem can be solved by multiplication of decimals.

2. What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0?

This problem can not be solved by division of decimals. It requires addition and subtraction.

3. Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save?

This problem can not be solved by division of decimals. It requires subtraction.

4. Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?

This problem can be solved by division of decimals.

Learn more about linear equation here: https://brainly.com/question/17204085

#SPJ3

Answer:

x = 7

42, 35, 7

Step-by-step explanation:

Point F is on line segment of EG, therefore EG = EF + FG

Then

Answer:

12 in

Step-by-step explanation:

she has square pillow, so 12*12=144 sq in

Answer:

Step-by-step explanation

0.03.

Answer:

m = 2x

Step-by-step explanation:

Simplifying

4x + -2m = 0

Reorder the terms:

-2m + 4x = 0

Solving

-2m + 4x = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-2m + 4x + -4x = 0 + -4x

Combine like terms: 4x + -4x = 0

-2m + 0 = 0 + -4x

-2m = 0 + -4x

Remove the zero:

-2m = -4x

Divide each side by '-2'.

m = 2x

Simplifying

m = 2x

Answer:

Step-by-step explanation:

4x - 2m  = 4*8 - 2*3 = 32 - 6 = 26

Step-by-step explanation:

f(x)=-1/3x-2=x

3x²-2x-1=o

(3x-1)(x+1)=o

x=1/3(or)x=-1

Answer:

[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

Step-by-step explanation:

Given the equation, [tex] 3x^2 - 6x + 8 = 0 [/tex], the quadratic formula for solving this equation is given as:

[tex] x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Where,

a = 3

b = -6

c = 8

Plug in the above values into the quadratic formula.

[tex] x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

Answer:

14x^8-18x^3+43x^2+24x-15

Answer:

[tex] {10}^{3} [/tex]

Step-by-step explanation:

hope this helps

20 cent per inch

Step-by-step explanation:

Kindly find attached the rough sketch of the triangular pyramid and the rough sketch of it cross section.

Basically a triangular pyramid has a triangular base. when a fictitious line is made to pass through perpendicularly to the base, the cross section that will result will still have a triangular orientation but this time a smaller one compared to the original triangular orientation or sides of the pyramid  

Answer:

37°

Step-by-step explanation:

32+2x-16=90

2x+16=90

2x=90-16

2x=74

x=37

Answer:

Each gets $13.5

Step-by-step explanation:

135/10= 13.5  

Answer:

3 33/40 or 153/40

Step-by-step explanation:

For first answer change the decimal .825 into fraction by making it over 1000. Then Simplify. For the second answer, take the first answer, multiply 3 with 40 and add 33. In the end both answers are equivanlent.