An automobile went 84 miles on 6.5 gallons of gasoline. At this rate, how many gallons would be needed to travel 126 miles

Answers

Answer 1

Answer:

10 gallons

Step-by-step explanation:

84 ÷ 6.5 =12.9(The unit rate.)

Seeing as one gallon can get you 12.9 miles;

126÷12.9=9.7

So the answers 9.7 gallons, but if you need to round, then 10 to get a whole number.

Answer 2

Answer:

9.75

Step-by-step explanation:

We can write a ratio to solve

84 miles          126 miles

--------------   = -------------------

6.5 gallons        x gallons

Using cross products

84 x = 6.5 * 126

84x=819

84x/84 = 819/84

x = 9.75


Related Questions

Help please hhjhhkkkki

Answers

Answer:

000

Step-by-step explanation:

000

Answer:

[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]

Step-by-step explanation:

[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = \lim_{x\to 0^+} \tan(x) - \lim_{x\to 0^+} \frac{1}{x^2} $[/tex]

and

[tex]$\lim_{x\to 0^+} \tan(x) = \tan(0) = 0$[/tex]

[tex]$\lim_{x\to 0^+} \frac{1}{x^2} = +\infty$[/tex]

Therefore,

[tex]$\lim_{x\to 0^+} \tan(x) - \frac{1}{x^2} = -\infty$[/tex]

Plssss help!!! Asap tyyy.

Answers

Answer:

1):Reaction

2):Action

3):Thought

4): Dialogue

Step-by-step explanation:

Answer:

Mrs. Boggs's generously inspired us to study harder - Reaction Mrs. Boggs agreed to tutor us all before the test - Action I believe that Mrs. Boggs is the most caring teacher I know - Thought "Of course I will tutor you before the test" she said - Dialogue

Step-by-step explanation:

Hoped this helped.

4. Solve the equation using square roots.
x2 + 10 = 9

Answers

Answer:

+1/-1

Step-by-step explanation:

assuming the original phrase is  x^2

x^2 + 10 = 9

x^2 = 1

x = +/- 1

Can anyone help me with this!

Answers

Answer:

I think 14 if not 10

Step-by-step explanation:

<%) pizza

Please help me prove that ED is congruent to BA! I thought I had it right by proving right and vertical angles, but I’m missing something

Answers

Step-by-step explanation:

[tex]\overline{DA} \text{ bisects } \overline{EB}[/tex]     is given

[tex]\overline{BC} \cong \overline{EC}[/tex]  definition of bisect

[tex]\overline{EB} \perp \overline{ED}, \, \overline{EB} \perp \overline{BA}[/tex]  are both given

[tex]\angle B, \, \angle E \text{ are right angles}[/tex]  definition of perpendicular

[tex]\angle B \cong \angle E[/tex]   because all right angles are congruent

[tex]\angle{ACB} \cong \angle{DCE}[/tex]  vertical angles are congruent

[tex]\triangle{ACB} \cong \triangle{DCE}[/tex]   ASA (angle-side-angle)

[tex]\overline{ED} \cong \overline{BA}[/tex]  CPCTC (corresponding parts of congruent triangles are congruent)

6/7 divided by 12/14 please show the work

Answers

Answer:

1

Step-by-step explanation:

When dividing one fraction by another, the best way to solve it is to multiply by the reciprocal. The reciprocal just flipping the fraction over. So you would leave the 6/7 and the multiply by 14/12( because you are multiplying by the reciprocal). When you do that, you then can just multiply the top and the bottom to form one fraction. The numerator is 6*14 = 84, and the denominator is 7*14 = 84. So you are left with 84/84 which anything over itself is equal to one.

Hope this helps!

hope this help u and good luck

Which graph represents y = –2x?

Answers

Answer:

B, the second one down on the first page

Step-by-step explanation:

hope this helps! :D

brainliest is immensely appreciated!! <3

Multiply the two fractions. Simplify your answer. 1/2 x 4/7

Answers

Answer:

2/7

Step-by-step explanation:

The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].

Given that,

Multiply the two fractions,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

Used the concept of multiplication which states that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, simplify the fractions by multiplying,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

[tex]\dfrac{4}{14}[/tex]

Simplify for the simplest form,

[tex]\dfrac{2}{7}[/tex]

So, the solution is [tex]\dfrac{2}{7}[/tex].

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the students in Jake's class , 6 have visited a zoo and 6 have visited a factory 3 students have visited both a zoo and a factory . How many students have visited a zoo but not a factory ?

Answers

Answer:

3

Step-by-step explanation:

6 have visited a zoo.

6 have visited a factory.

3 visited both.

Of the 6 who visited a zoo, 3 also visited a factory.

Of the 6 who visited a factory, 3 also visited a zoo.

Here is the list of students:

3 visited a zoo but not a factory.

3 visited a factory but not a zoo.

3 visited both.

Answer: 3

If the gross domestic product is currently 12,443.9 billion dollars and grows by 5 percent, how much will it be next year?

Answers

Answer:

12,448.9

Step-by-step explanation:

i'm sorry if this is wrong

A container 2/3 gallon of apple juice. If four people from the cross-country Tracy team share the juice equally how much juice will each team member get?

Answers

Answer:

1/6 gallon

Step-by-step explanation:

Total juice = 2/3 of container

Total people = 4

Juice for 1 people = 2/3/(4)

=> 2/3 × 1/4

=> 1/3 × 1/2

=> 1/6

please help ill mark brainliest​

Answers

Answer:

I think the answer is c now I'm using words to meet the 20 character minimum

limx→0
tan x − x
x − sin x

Answers

Answer:

Please understand me download an math algebra in play store

Kevin will be taking six classes next semester (Algebra, World History, Psychology, Political Science, Chemistry, and Art Theory) and would like to know how many different ways he can order his class schedule given that his university offers six time slots for classes each day. Assuming there are no constraints and each class can be taken in any time slot, how many different ways can Kevin order his classes?

Answers

Answer:  720

=========================================================

Explanation:

We have 6 slots to fill A,B,C,D,E,F

There are 6 choices for choice A, then 5 choices for slot B, 4 for C, and so on until we reach one choice for slot F. Count down by 1 each time a slot is filled.

Multiply out those values to get: 6*5*4*3*2*1 = 720

For more information, check out the concept of factorials.

---------

Another approach is to use the nPr permutation formula which is

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where in this case n = 6 and r = 6.

A right triangle has side lengths of 5 inches, 12 inches, and 13 inches. The triangle will be rotated 180° about a point.
What is the length of the longest side of the triangle after the rotation? Enter the answer in the box?



Answers

13in will be the longest like before .

Refer to the attachment for more observation.

The length of the longest side of the triangle after the rotation is 13 inches.

What is Right Angle?

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

Ancient geometry defined a right angle as the intersection of two straight, or right, lines in relation to dimensional axes.

Given:

A right triangle has side lengths of 5 inches, 12 inches, and 13 inches.

As, we know that the longest side is the Hypotenuse which is 13 inches and the base is 12 inches and perpendicular is 5 inches.

After 180° rotation only the base and perpendicular change the longest side still remain the same.

Learn more about Right Angle here:

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You buy a serving spoon for $4.05 and a bread knife for $3.99. What is the total cost of your purchase?
A. $8.94
B. $7.04
C. $7.94
D. $8.04

Correct answer on gradpoint is D: $8.04

Answers

Answer: d. $8.04

Step-by-step explanation:

$4.05 + $3.99 = $8.04

Answer:

d. 8.04

Step-by-step explanation:

4.05+3.99=8.04

Plz help me NOW and I will mark you brainliest

Answers

Answer:

Translate from words to mathematical equation.

"n is m% of what?"

m% = m/100

what = a variable ... "x". for example.

"is" means "="

"of" means multiply

n = (m/100)•x

The perimeter of a rectangular is 306 centimeters of the length of the painting is 94 centimeters what is the width

Answers

Answer:

59 centimeters

Step-by-step explanation:

Find the Simple interest paid for eight years on a $850 loan at 7.5% a year

Answers

Answer:

850 divided by 7.5

Step-by-step explanation:

I need help with this badly. It's geometry and angles.

Answers

Answer:

∠ C = 118°

Step-by-step explanation:

DE = DF , then Δ DEF is isosceles with base angles congruent , then

∠ DEF = ∠ DFE = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°

∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so

∠ DFB = 180° - 62° = 118°

BCDF is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ C = ∠ DFB = 118°

Ok done. Thank to me :>

What is 15/4 as a decimal?

Answers

Answer:

3.75

Step-by-step explanation:

Answer: 3.34

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Which represents the RANGE of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}

Answers

Answer:

5, 3, 0, 3 are all the ranges! Hope this helps

Step-by-step explanation:

Ranges are on the right, domains are on the left

Hilary walked 654 feet in 3 minutes. She says she walked 218 feet per minute. Is Hilary’s
answer reasonable? Explain.

Answers

Yes!
Because if she is walking 218 feet per minute then if you multiply 218 by 3 we get 654 feet
Which means she must have travelled 654 feet in 3 minutes in order for it to be true which it is! Hope this helps!

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7
10
12
22

Answers

Answer:

[tex]\displaystyle b = -22[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = (x^3+bx+6)(g(x))[/tex]

Where b is a constant and g is a differentiable function.

And we want to determine the value of b such that f'(2) = 0.

Find f' using the product rule:

[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ (x^3+bx+6)(g(x))\right] \\ \\ & = \frac{d}{dx}\left[ x^3 + bx + 6\right] g(x) + (x^3+bx+6)\frac{d}{dx}\left[ g(x)\right] \\ \\ & = (3x^2+b)(g(x)) + (x^3 + bx + 6)(g'(x))\end{aligned}[/tex]

Substitute using known values and solve for b:

[tex]\displaystyle \begin{aligned}f'(2) = 0 & = (3(2)^2+b)(g(2)) + ((2)^3+b(2)+6)(g'(2)) \\ \\ 0 & = (12+b)(3) + (14+2b)(-1) \\ \\ 0 & = 22 +b \\ \\ b & = -22\end{aligned}[/tex]

In conclusion, the value of b is -22.

The function f is given b is a constant and g is a differentiable function the value b (-8.4),

Let's start by finding the derivative of the given function f(x) with respect to x:

f(x) = (x³ + bx + 6) × g(x)

Using the product rule for differentiation, the derivative of f(x) is:

f'(x) = (x³ + bx + 6) × g'(x) + g(x) × (3x² + b)

Now we are interested in finding the value of b for which f'(2) = 0. So, let's plug in x = 2 and use the information given about g(2) and g'(2):

f'(2) = (2³ + 2b + 6) × g'(2) + g(2) × (3 × 2² + b)

Since g(2) = 3 and g'(2) = -1,

f'(2) = (8 + 2b + 6) × (-1) + 3 × (3 × 4 + b)

= (2b + 14 - 8) + 3× (12 + b)

= 2b + 6 + 36 + 3b

= 5b + 42

Now, we want to find the value of b for which f'(2) = 0:

5b + 42 = 0

Subtracting 42 from both sides:

5b = -42

Dividing both sides by 5:

b = -8.4

To know more about function here

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Complete question:

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7

10

12

22

-8.4

Ryan works at the donut shop where he makes $10.25 per hour He also works part time at the school bookstore where he makes $8.75 an hour if he worked 20 total hours last week and made $196 how many hours he did work at the bookstore?

Answers

Answer:

aprometly 19 I think

Step-by-step explanation:

cause don't you have yo divide 196 ÷ 10.25

A vehicle was travelling at a speed of 72km per hour. What distance did it cover in 2 hours? A. 158km B. 148km C. 168km D. 144km​

Answers

Answer:

D. 144km

Step-by-step explanation:

If the vehicle travels 72km every hour, in two hours, it will drive 144km. (72x2=144)

The persons income increased from 27,000 to 40,000 over the last year. What is the percent change

Answers

Answer:

32.5

Step-by-step explanation:

2 1/12 divided 2 5/8 fractions

Answers

Answer: 50/63 or 0.793650

Step-by-step explanation:

3. A recipe for banana cakes calls for 6 cups of mashed banana to 9 cups of flour. How many cups of
flour per cup of mashed banana does the recipe require?

Answers

3 cups of flour for every 2 bananas
3:1

-1⅓ + 2⅓ what is answer ​

Answers

The answer to -1 1/3 + 2 1/3 is 1
Ok done. Thank to me :>
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