Lulu is taking a road trip to visit family. Her car has a 20-gallon gas tank and the car uses 12 gallons to travel 216 miles.
Which linear equation represents the number of gallons of gas, G, left in the tank after driving m miles?
A. G = 360 - 18m
B. G = 20 - 18m
c. G=20 - 1gm
D. G=360 - 16"

Answer:

A’ is (3,-3)

B’ is (-1,-4)

C’ is (-1,2)

D’ is (3,1)

Step-by-step explanation:

the other person gto one wrong this is what it should be

have a good day hope this helped

I have a pic to show you

Answer:

B contains a table with a logical series of statements and reasons that reach a conclusion.

Step-by-step explanation:

A two-column proof

uses a visual representation of the logical flow of steps needed to reach a conclusion.

contains a table with a logical series of statements and reasons that reach a conclusion.

contains a set of sentences explaining the steps needed to reach a conclusion.

uses inductive reasoning to prove a statement.

The expression that represents the number of stamps that Jenna has is 2x - 20

Step-by-step explanation:

Let us revise some algebraic expressions

∵ Jenna and Callie collect stamps

∵ Jenna has 20 less than twice the number of stamps that Callie has

- Assume that Callie has x stamps, that means to find the number

  of stamps of Jenna multiply x by 2 and subtract 20 from the product

∵ Callie has x stamps

∵ Twice means × 2

∴ Jenna has = 2(x) - 20

∴ Jenna has = 2x - 20

The expression that represents the number of stamps that Jenna has is 2x - 20

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To find the y-intercept, rewrite the equation of the line in slope-intercept form:

Slope-intercept form: y = mx + b   (b is the y-intercept)

This is how you get your equation in slope-intercept form:

5x -3y = -12

-3y = -5x - 12

-3y/-3 = (-5x -12)/-3

y = (5/3)x + 4

The answer is 4.

Please let me know if you understand in the comments!

Answer:

(11,3)

Step-by-step explanation:

The value of [tex]\bold{ h(h(10))=10}[/tex]

Solution:

Given: [tex]h(x) = 6 - x[/tex]

To find: The value of (h*h)(10)

We know that, [tex](h*h)(x)=h(h(x))[/tex]

which is,

[tex]\Rightarrow h(h(x))=6-(6-x)=x[/tex]

On solving we get,

[tex]\Rightarrow6-6+x=x[/tex]

So, for x = 10 it will be,

[tex]h(h(10))=10[/tex]

Hence, the required value is 10.

Answer:

The answer is 9.396

Step-by-step explanation:

In the inequality 3(x – 4) < 8x + 13, the first step is to distribute the 3 on the left-hand side. That results in the inequality 3x – 12 < 8x + 13. Therefore, the correct answer from the options given is (D) 3x – 12 < 5 8x + 13.

The question is asking for the inequality that could result after the first step when solving the given inequality 3(x – 4) < 8x + 13. The first step involves distributing the multiplication on the left side of the inequality. Therefore, 3 multiplied by x gives 3x and 3 multiplied by -4 gives -12. This leads to the inequality 3x – 12 < 8x + 13.

So, the correct answer from the options given is:
(D) 3x – 12 < 5 8x + 13.

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Answer:

[tex]x\leq 36[/tex]

The solution for [tex]x[/tex] is all real numbers less that or equal to 36.

Step-by-step explanation:

Given expression:

[tex]\frac{1}{2}x\leq18[/tex]

To find the solution for [tex]x[/tex]

Solution:

In order to solve for [tex]x[/tex] , we will make sure to isolate the unknown variable [tex]x[/tex] on left side alone by doing math operations on both sides of the inequality.

We have:

[tex]\frac{1}{2}x\leq18[/tex]

Multiplying both sides by 2.

[tex]2.\frac{1}{2}x\leq18\times 2[/tex]

The 2 on left side will cancel each other leaving [tex]x[/tex] alone.

Thus, we have:

[tex]x\leq 36[/tex]

Thus, solution for [tex]x[/tex] is all real numbers less that or equal to 36.

Answer:

D

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Plug it in

Answer:

[tex]x= (3, \frac{3}{10} )[/tex]

Step-by-step explanation:

The figure is composed of two similar triangles; therefore,

[tex]\frac{7x}{19x-4} =\frac{7x+8}{(5x+5)+(19x-4)}[/tex] this says the ratio of the sides is same for the two triangles.

we simplify and a rearrange to get

[tex]7x(24x+1)=(7x+8)(19x-4)[/tex]

which we expand and get

[tex]168x^2+7x=133x^2+124x-32[/tex]

[tex]35x^2-117x+32=0[/tex]

this quadratic equation has solutions

[tex]x=3.04[/tex]

[tex]x=0.30[/tex]

As integers and simplified fractions these are

[tex]x= (3, \frac{3}{10} )[/tex]

Answer:  identity is subtraction property of equality equation is x + 8 = 6

Substitution Property of Equality; x + 8 = 6

Take the equation x + 8 = 6. subtract 8 from both sides using the subtraction property of equality x + 8 - 8 = 6 - 8 simplify x + 0 = -2 x = -2

The Addition Property of Equality and the equation x + 6 = 8 are the property and equation that satisfy the statement 'The solution of an equation is x = –2'. This is because when you subtract 6 from both sides of the equation, x equals -2.

To find the property and equation that fits the statement 'The solution of an equation is x = –2', we need to understand the basic properties of equality and apply those in this context.

Following the statement, it seems that the Addition Property of Equality fits the best here. The Addition Property of Equality states that when we add the same number to both sides of an equation, the equation remains balanced and the solution is the same. Now, if we think of an equation 'x + 6 = 8', and solve it using the Addition Property by subtracting 6 from both sides, we get the solution x = -2.

That means the property that satisfies the statement is Addition Property of Equality and the equation that satisfies the statement is x + 6 = 8.

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Answer: 13

Step-by-step explanation:

The formula for finding distance between two points is given by :

D = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]x_{1}[/tex] = -4

[tex]x_{2}[/tex] = 1

[tex]y_{1}[/tex] = 9

[tex]y_{2}[/tex] = -3

Substituting the values into the formula , we have :

D = [tex]\sqrt{(1 -(-4))^{2} +(-3-9)^{2}}[/tex]

D = [tex]\sqrt{(5)^{2}+(-12)^{2}}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13

Therefore : the distance between the points is 13

Answer:

64

Step-by-step explanation:

x-13+2x+1=180

3x-13+1=180

3x-12=180

3x=180+12

3x=192

x=192/3

x=64

Answer:

X=83

Step-by-step explanation:

UH TOO LAZY TO EXPLAIN. lol

Answer: 5

Step-by-step explanation:

17 1/2 is equal to 17.5

3 1/2 is equal to 3.5

Since 17.5 is the area, you must divide by 3.5, which equals 5

To find the length of the longer side of a rectangle with an area of 17 1/2 square inches and a shorter side of 3 1/2 inches, divide the area by the width to get the length. The length of the longer side is 5 inches.

The question is asking how to find the length of the longer side of a rectangle given that the area of the rectangle is 17 1/2 square inches and one of the shorter sides is 3 1/2 inches. To find the length of the other side, which we will call length, use the formula for the area of a rectangle which is area = length × width. Since the area and width (shorter side) are known, the equation can be set up as follows:

Therefore, the length of the longer side of the rectangle is 5 inches.

Answer:

20 inches

Step-by-step explanation:

hope this helps you

Answer: 34.2

Step-by-step explanation:

Answer:

2 bc cos A

Step-by-step explanation:

Cosine rule

The missing part of the equation is 2bc cos A. This equation is a form of the Law of Cosines from trigonometry, which provides a relationship between the lengths of the sides of a triangle and one of its angles.

The equation presented is a variant of the Law of Cosines in trigonometry. To complete the equation accurately, we need to choose the right trigonometric relationship between sides a, b, c, and one of the angles. The correct completion of the equation is 2bc cos A.

The Law of Cosines can be stated in three different ways depending on the specific circumstances:

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Answer:

320 miles = (8 hours)(r)

r = 40 mph

Answer:

False

Step-by-step explanation:

lets find out..

x - 3y < 1.....check (2,-1)....x = 2 and y = -1

now we sub

2 - 3(-1) < 1

2 + 3 < 1

5 < 1.......so is 5 less then 1 ? NO, it is not...so (2,-1) IS NOT a solution

Answer:false

Step-by-step explanation:

Answer:

radius = 6 cm

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ← r is the radius

Given V = 288π, then

[tex]\frac{4}{3}[/tex] πr³ = 288π

Multiply both sides by 3 to clear the fraction

4πr³ = 864π ( divide both sides by 4π )

r³ = 216 ( take the cube root of both sides )

r = [tex]\sqrt[3]{216}[/tex] = 6

Thus the radius of the sphere is 6 cm

To find the sphere's radius from its given volume of 288pi cm^3, we use the volume formula V = (4/3) π r³ and solve for r, resulting in a radius of 6 cm.

The student is asking for the radius of a sphere given its volume, which is 288pi cm³. To find the radius, we need to use the formula for the volume of a sphere:

V = (4/3) π r³

Where V is the volume and r is the radius. We can solve for r by rearranging the formula:

r = √[3V / (4π)]

In this case, substituting the given volume into the equation:

r = √[3(288π) / (4π)]

r = √[864π / (4π)]

r = √[216]

The radius of the sphere is 6 cm.

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The exact value of cos(67.5°) is found using half-angle identities in trigonometry, which leads to the solution √(2 - √2)/2.

To find the exact value of cos (67.5°), we can use the half-angle identity for cosine which states that cos(θ/2) = ± √ ((1+cosθ)/2). In this case, to find the cosine of 67.5 degrees, we effectively need to calculate the half-angle of 135 degrees.

Thus, cos(67.5°) = cos(135°/2) = √ ((1+cos135°)/2) = √ ((1 - √2/2)/2). This further simplifies to √(2 - √2)/2.

This is because the cosine of 135 degrees equals -√2/2 (as it's in the second quadrant where cosine is negative).

Therefore, the exact value of cos(67.5°) is √(2 - √2)/2.

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Answer:

Step-by-step explanation

51.4% of the total population is 126 million

let x be the total population

turn ur percent to a decimal

0.514x = 126,000,000

x = 126 / 0.514

x = 245,136,186.77 <==

Answer:

245 millions

Step-by-step explanation:

51.4 > 126million

100 > X

X=100*126/51,4

X=245.1

Step-by-step explanation:

6(2(y+x))=6(2x+2y)=12x+12y

Answer:

12y + 12x

Step-by-step explanation:

You're welcome.

Answer:

  -2 °F > -6 °F

Step-by-step explanation:

-2 is to the right of -6 on the number line, so is the greater of the two values. The temperature has to go up from -6 to get to -2. Thus, ...

  -2 °F > -6 °F