A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles. 72 gallons of gas 18 gallons of gas 23 gallons of gas 67 gallons of gas

Answers

Answer 1

simple first we find the miles per gallon

so 300/15=20 therefor he would only need a extra 3 gallons to go 360 miles so your answer is

B.18

Related Questions

In the diagram, JG = 5 cm and GE = 10 cm. Based on this information, can G be a centroid of triangle HJK? Point G cannot be a centroid because JG does not equal GE. Point G cannot be a centroid because JG is shorter than GE. Point G can be a centroid because GE and JG are in the ratio 2:1. Point G can be a centroid because JG + GE = JE.

Answers

Point G cannot be a centroid because JG is shorter than GE. Without the diagram, this problem is rather difficult. But given what a centroid is for a triangle, let's see what statements make or do not make sense. Assumptions made for this problem. G is a point within the interior of the triangle HJK. E is a point somewhere on the perimeter of triangle HJK and that a line passing from that point to a vertex of triangle HJK will have point G somewhere on it. Point G cannot be a centroid because JG does not equal GE. * If G was a centroid, then JG would not be equal to GE because if that were the case, you could construct a circle that's both tangent to all sides of the triangle while simultaneously passing through a vertex of the triangle. That's impossible, so this can't be the correct choice. Point G cannot be a centroid because JG is shorter than GE. * This statement would be true. So this is a good possibility as the correct answer assuming the above assumptions are correct. Point G can be a centroid because GE and JG are in the ratio 2:1. * There's no fixed relationship between the lengths of the radius of a circle who's center is at the centroid and the distance from that center to a vertex of the triangle. And in fact, it's highly likely that such a ratio will not even be constant within the same triangle because it will only be constant of the triangle is an equilateral triangle. So this statement is nonsense and therefore a bad choice. Point G can be a centroid because JG + GE = JE. * Assuming that the assumption about point E above is correct, then this relationship would hold true for ANY point E on the side of the triangle that's opposite to vertex J. And only 1 of the infinite possible points is correct for the line JE to pass through the centroid. So this is also an incorrect choice. Since of the 4 available choices, all but one are complete and total nonsense when speaking about a centroid in a triangle, that one has to be the correct answer. So "Point G cannot be a centroid because JG is shorter than GE."

in short terms it's b lol

WILL MARK BRAINLIEST ANSWER
2x^2+20x=-38
show work

Answers

2x^2+20x = -38

2x^2 + 20x + 38 = 0

Divide both sides by 2.

x^2 + 10x + 19 = 0

The quadratic formula works very well here.

Let a = 1, b = 10 and c = 19

x = [-b +- sqrt{b^2 - 4ac}]/(2a)

Plug those values into the formula to find two answers for x.

One is negative and the other positive.

Good luck.

Move 38 to the left side of the equation by adding it to both sides.
2x ^2 + 20x + 38 = 0
Use the quadratic formula to find the solutions.
−b±√b^2 − 4 (ac)/2a
Substitute a = 2, b = 20, and c = 38 into the quadratic formula and solve for x.
−20±√20 ^2 − 4⋅(2⋅38)/2⋅2
Simplify. x = −5±√6
The result can be shown in both exact and approximate form.
x = −5±√6
x ≈ −2.55051025, −7.44948974

The quotient of a number and 4, minus 1, equals 5/4. find the number

Answers

Hope this helps
(x/4) - 3 = 5/4

x/4 - 12/4 = 5/4

x - 12 = 5

x = 17

Final answer:

The equation (x / 4) - 1 = 5/4 is solved by isolating x and simplifying, which reveals that the number sought is 9.

Explanation:

To solve the equation where the quotient of a number and 4, minus 1, equals 5/4, we can set up the following algebraic expression:

Let x = the number we want to find.

Now, we translate the problem into an equation:

(x / 4) - 1 = 5/4

To find the value of x, follow these steps:

Add 1 to both sides of the equation to get the fraction by itself:
(x / 4) - 1 + 1 = 5/4 + 1

Simplify both sides:
(x / 4) = 5/4 + 4/4

Add the fractions on the right side:
(x / 4) = 9/4

Multiply both sides of the equation by 4 to solve for x:
4 * (x / 4) = 4 * (9/4)

Simplify both sides:
x = 9

Therefore, the number we are looking for is 9.

Can somebody PLEASE help me on this question, I really need an answer. What are the reasons for a,b,c, and, d?

Answers

Short Answers (Explanation in next section below)

Reason A: Distributive Property

Reason B: Additive Property of Equality

Reason C: Combine like terms

Reason D: Additive Identity Property

----------------------------------------------------------

Further Explanation:

Reason A: The distributive property is the idea where we multiply a number by a block of values inside a parenthesis. In this case we have 3 outside the parenthesis multiplied by the x inside and the -4 inside as well. So 3 times x = 3x and 3 times -4 = -12 indicating that 3*(x-4) = 3*x+3*(-4) = 3x-12. Be sure to multiply the outer 3 by EVERY term inside the parenthesis. Often it is easy to forget a term inside.

Reason B: We are adding 12 to both sides. The goal is to have the -12 go away. Notice in the next line -12+12 = 0 which is effectively canceled out. Adding the same value to both sides is the Additive Property of Equality. It must be done to both sides to balance things out. The general rule is that if a = b, then a+c = b+c. We have added c to both sides.

Reason C: We just do arithmetic here. On the left side -12+12 turns into 0. On the right side 33+12 turns into 45. This is considered "combine like terms" as all of these terms have something in common: they don't have variables attached to them. Which is why they are common or like terms

Reason D: The additive identity property says that adding 0 to anything leads to the same thing as before. For example, adding zero to 5 gets us 5+0 = 5. Nothing has changed, which is what we expect. That's why 3x+0 turns into 3x. At this point, the -12 a few steps prior has been canceled out. In general, the additive identity property is x+0 = x or 0+x = x

The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida. 3(f − 36) = 85 1 over 3f + 36 = 85 Quantity f minus 36 all over 3 equals 85 Quantity f plus 36 all over 3 equals 85 Question 3(Mu

Answers

c = 1/3f + 36
c = 85

1/3f + 36 = 85 <===

At day camp, hiking began at 8:30 a.m. and lasted 2 hours and 42 minutes. What time did hiking end? A. 9:02 a.m. B. 10:12 a.m. C. 11:12 a.m. D. 12:02 p.m.
Plz help ppl

Answers

The correct answer is B. 10:12

Evaluate the numerical expression. 4.2 − 3.5 ÷ 0.7 + 2.4 A) −3.2 B) 1.6 C) 11.6 D) 3.4

Answers

4.2 − 3.5 ÷ 0.7 + 2.4
= 4.2 − 5 + 2.4
= -1.6

answer
- 1.6

4.2 -3.5/0.7+2.4

order of operations, do division first

-3.5/0.7 = -5

now you have:

4.2-5 +2.4

now just add/subtract from left to right

4.2-5 = -0.8 + 2.4 = 1.6

Answer is B

Why are black people always watched so closely at a liquor store?

Answers

Because the people that watch are stuuuuuuppppiiiiiiiddddd. Stereotypes are the worst.

Racial profiling.
A lot of people assume that because of the forced situations blacks have been in the past, that they're all bad people. Which is not always true. Although black people can still steal(like any other capable human being), so can white people. And hispanics, and middle easterns. But based on the history of America, specifically, black people have been the most common to shoplift or vandalize. But that was in the past, anyone today can easily steal a bottle of beer or a pack of gum from any store just like everyone else. I think the issue is that most priveledged people haven't let go of the past. Or at least what the media filtered as the past.

Hope this helps. :)

What is the measure of ∠ABC?

Enter your answer in the box.

Answers

ABC=95 I am not very good at these but I tried

The measure of the angle ∠ABC will be 95 degrees.

What is a quadrilateral?

A quadrilateral is a shape made up of four sides having the sum of the angles 360 degrees. The given shape is like a parallelogram in which two sides are equal and at the same angles.

Given that angle A in the quadrilateral is 85 degrees. The value of the angle B will be calculated as:-

∠A + ∠B +∠C + ∠D = 360

85 + ∠B + 85 + ∠B = 360 ∠B = ∠D

170 + 2∠B = 360

2∠B = 360 - 170

2∠B = 190

∠B = 190 / 2

∠B = 95

Therefore, the measure of the angle ∠ABC will be 95 degrees.

To know more about a quadrilateral follow

https://brainly.com/question/21504609

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Solve by completing the square
X^2+12x-13=0

Answers

I order to do this question, you need to put the 13 on the right side. So now you have x^2+12x+0=13. Now, take half of 12, and square it. Add this to both sides to get x^2+12x+36=49. Now factor the left side by putting the half of 12 into this blank to get, (x+_)^2=49. Final Answer is,
(x+6)^2=49.

Final answer:

To solve the quadratic equation x^2 + 12x - 13 = 0 by completing the square, follow these steps. The solutions to the equation are x = 1 or x = -13.

Explanation:

To solve the quadratic equation x^2 + 12x - 13 = 0 by completing the square, follow these steps:

Move the constant term to the other side of the equation:x^2 + 12x = 13Take half of the coefficient of the x-term and square it:(12/2)^2 = 36Add this value to both sides of the equation:x^2 + 12x + 36 = 13 + 36Factor the left side of the equation, which should be a perfect square:(x + 6)^2 = 49Take the square root of both sides and solve for x:x + 6 = ±√49x + 6 = ±7x = -6 ± 7Therefore, the solutions to the equation are x = 1 or x = -13.

Question 14 a certain drug is made from only two ingredients: compound a and compound
b. there are 3 milliliters of compound a used for every 4 milliliters of compound
b. if a chemist wants to make 497 milliliters of the drug, how many milliliters of compound b are needed?

Answers

A drug is made from a compound A and a compound B:
A : B = 3 : 4
A = 3 k
B = 4 k
3 k + 4 k = 7 k
7 k = 497 ml
k = 497 ml : 7 = 71 ml
B = 4 * 71 ml
B = 284 ml.
Answer: 284 ml of compound B are needed.

Find the special product (5s-3)^(2)

A. 10s2 - 9
B. 25s2 -30s - 9
C. 25s2 - 9
D. 25s - 9 30x + 9

Answers

Use the formula: (a - b)^2 = a^2 - 2ab + b^2.

=> (5s - 3)^2 = (5s)^2 - 2(5s)(3) + (3)^2 = 25s^2 - 30s +9

The list of options is mistyped, so you must use the right list of choices and find which is 25s^2 - 30s + 9.

Answer: 25s^2 - 30s + 9

Which angle in triangle XYZ has the largest measure?

Answers

Answer:

A. [tex]\angle x[/tex]

Step-by-step explanation:

We have been given measure of three sides of a triangle. We are asked to determine, which angle has the largest measure.

We know that the side of triangle corresponds to its opposite angle. The angle opposite to smallest side will have smallest measure and angle opposite to largest side will have largest measure.

We can see that the measure of largest side of our given triangle is 9 and it is opposite to angle x, therefore, [tex]\angle x[/tex] has the largest measure and option A is the correct choice.

find the center and radius for the circle, given the equation: x2+16x+y2-6y=-24

Answers

Hello,

[tex]x^2+16x+y^2-6y=-24\\\\ x^2+2*8*x+64+y^2-2*3*y+9-64-9=-24\\\\ (x+8)^2+(y-3)^2=49\\\\ [/tex]
Center=(-8,3), radius=7

Two radical expressions with the same degree and the same _____ are called like terms.

Answers

Answer:

Two radical expressions with the same degree and the same radicand are called like terms.

Step-by-step explanation:

All the terms that have same power and vari ables are called like terms.

For example: 3x²y and 5x²y are like terms, 2x³ and 7x³ are like terms, etc.

The number under the root is known as radicand.

Two radical expressions are like terms if

1. They have same degree.

2. They have same radicand.

Therefore the two radical expressions with the same degree and the same radicand are called like terms.

Two radical expressions are called like terms if they have the same degree and the same:

E. radicand

Two radical expressions are called like terms if they have the same degree and the same radicand. The radicand is the number or expression inside the radical symbol. For example, in the radical expression [tex]$\sqrt{5}$[/tex], the radicand is 5. For two radical expressions to be like terms, they must not only have the same index (degree) of the radical but also the same radicand.

Consider the expressions [tex]$\sqrt{3}$ and $2\sqrt{3}$[/tex]. These are like terms because they both have the same degree (square root, which is an index of 2) and the same radicand (3). Similarly, [tex]$\sqrt[3]{7}$ and $4\sqrt[3]{7}$[/tex] are like terms because both are cube roots with a radicand of 7.

However, [tex]$\sqrt{2}$ and $\sqrt{3}$[/tex] are not like terms because their radicands differ. Likewise, [tex]$\sqrt[4]{5}$ and $\sqrt{5}$[/tex] are not like terms because their degrees (indices) differ. Therefore, for radical expressions to be like terms, matching radicands and degrees are essential.

The correct question is:

Two radical expressions are called like terms if they have the same degree and the same

A. denominator

B. radical

C. term

D. number

E. radicand

HELP PLEASE!!

Graph the system of linear equations.
-1/2y=1/2x+5 and y=2x+2

The solution to the system is ( _ , _ )

Answers

the correct answer is -4, -6

Write the ratio of dogs to cats in simplest form. 12 dogs, 16 cats

Answers

12 dogs, 16 cats = 3 : 4.

Y= f(x) 16x find f(x) when x= 1/2

Answers

Final answer:

The value of f(x) when x = 1/2 is 8.

Explanation:

To find the value of f(x) when x = 1/2, we need to substitute x = 1/2 into the equation y = f(x) = 16x.

Substituting x = 1/2, we get y = f(1/2) = 16(1/2) = 8.

Therefore, f(1/2) = 8.

Express the complex number -3i in trigonometric form.

Answers

Use the formula z=a+bi=|z|(cosθ+isinθ), with |z|=√(a²+b²), and tanθ=b/a

in this case, a=0, b=-3 so |z|=√0²+(-3)²)=3
tanθ=[tex] \frac{-3}{0} [/tex], notice the denominator is 0, undefined, so the value of θ=π/2
Substitute the values of θ=π/2 and |z|=3. into the formula, you'll get 3(cos([tex] \frac{ \pi }{2} [/tex])+isin([tex] \frac{ \pi }{2} [/tex]))

Miranda wants to buy as many collectible dolls as possible, for $2.50 each. If she has $45.00 to spend, how many dolls can she buy?

Which equation BEST represents this situation?
A) 45x = 2.5
B) 2.5x = 45
C) x + 2.5 = 45
D) x + 45 = 2.5

Answers

Answer choice B is the best one

B. 2.5x = 45 because your wanting to buy as many dollars possible with 45 dollars and to do that you would multiply 2.5 by x. For the fun of it I will solve. 45 divided by 2.5 is 18 x = 18

Hope I helped

Brainliest if happy :D

Five more than three times a number q is written as

Answers

5+(3q)= is the answer

Answer:

Step-by-step explanation:

5+(3q) I think

TDC, Inc's . net profits were $-2000 each month last year . What was TDC's net profits for the year ?

Answers

2000*12 is the answer

The TDC's net profits for the year were -$24,000 if TDC, Inc's. net profits were $-2000 each month last year option (A) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

TDC, Inc.'s net profits were $-2000 each month last year.

Let x be the net profit for the year

As we know there are 12 months in 1 year.

So the net profit:

x = $-2000×12

x = -$24,000

Thus, the TDC's net profits for the year were -$24,000 if TDC, Inc. net profits were $-2000 each month last year option (A) is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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Expand the logarithm. log₅ 5x⁻⁵

PLS HELP!

Answers

Recall that logab=loga + logb

log₅5x⁻⁵=log₅5+log₅x⁻⁵=1-5log₅x.

Solve the following equation. Then place the correct number in the box provided. 2x - 1 ≤ x + 5

Answers

Answer:

The solution for the inequality is [tex]x \leq 6[/tex].

Step-by-step explanation:

Consider the provided inequality.

[tex]2x - 1 \leq x + 5[/tex]

Subtract x from both the sides.

[tex]2x -x- 1 \leq x-x + 5[/tex]

[tex]x- 1 \leq 5[/tex]

Add 1 to both the sides.

[tex]x- 1+1 \leq 5+1[/tex]

[tex]x \leq 6[/tex]

Hence the solution for the inequality is [tex]x \leq 6[/tex].

John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.00. After using a $6.00 gift certificate, they spend a total of $13.20. Write an equation to model this situation, and find the cost of one large drink. a. 3d + $13.00 – $6.00 = $13.20; $2.07 b. 4d + $13.00 – $6.00 = $13.20; $1.55 c. 4d – $13.00 + $6.00 = $13.20; $6.73 d. 4d + $13.00 – $6.00 = $13.20; $1.60

Answers

The large drink will cost 1.55.

4d +13.00 -6.00 = 13.20

4d = 7.00 = 13.20

4d = 6.20

d - 6.20/4 =1.55

answer is B

Solve the inequality
5x < 16 + x.

A.) x < 1/4
B.) x > 1/4
C.) x < 4
D.) x > 4

Answers

C: is you Answer x<4

4x>16
x>4
Correct answer is D

the greatest wind speed ever recorded on earth's surface is 231 miles per hour. what is the speed in kilometers per hour

Answers

if it is 231 mph it would be 372 km/h

To convert 231 miles per hour to kilometers per hour, multiply by the conversion factor of 1.60934, resulting in approximately 371.76 km/h.

The greatest wind speed ever recorded on Earth's surface is 231 miles per hour (mph). To convert this speed into kilometers per hour (km/h), we use the conversion factor that 1 mile is approximately 1.60934 kilometers. Therefore, the speed in kilometers per hour is given by multiplying the speed in miles per hour by this conversion factor.

Here is the calculation:
231 mph x 1.60934 = 371.75774 km/h.

Approximately, the wind speed would be 371.76 km/h after converting from miles per hour.

What is 7 feet converted to miles?

Answers

Answer:

Step-by-step explanation:

Use the factor-label method you learned in chemistry (also known as dimensional analysis), keeping in mind 2 things:

the label you want needs to be on the top of the equivalent ratio, and

that there are 5280 feet in 1 mile. Having said that:

[tex]7feet*\frac{1mile}{5280 feet}=[/tex]

The math tells us to divide 7 by 5280. That means that

7 feet = .0013257576 miles, to however many decimal places you need. That 7575 is repeating, btw.

What is 16% of 43 minutes

Answers

6.88 i hope this helps u

Answer:

16% of 43 minutes are 6.8 minutes.

Step-by-step explanation:

To know the percentage of a quantity first you should divide the percentage by a hundred, then you should multiply the quantities, as follows.

1. Calculate the percentage:

[tex]\frac{16}{100}=0.16[/tex]

2. Multiply the percentage by the quantity:

[tex]0.16*43=6.88[/tex]

Therefore 16% of 43 minutes are 6.8 minutes.

Multiply (2x2 + 3x − 6)(x − 1).

Answers

2x^3+x^2-9x+6

Distribute

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