ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. at this rate, how many miles can he drive on 1 gallon of gas

Ray Uses 1/4 Of A Gallon Of Gasoline To Drive A Distance Of 5 1/2 Miles. At This Rate, How Many Miles

Answers

Answer 1

Answer:

22 miles per gallon

Step-by-step explanation:

5.5 x 4 =

5 x 4 = 20

0.5 x 4 = 2

20 + 2 = 22

22 mi/ga


Related Questions

solve -1 < x + 1 ≤ 6

Answers

Answer:

-2<x≤5

Step-by-step :

-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.

-1<x+1≤6 I would start off by isolating x in the middle.

-1<x+1≤6 I subtracted 1 from all three sides.

-1     -1   -1

Now your equation should look like this:

-2<x≤5  Now there is really nothing much we can do here since we were just trying to get x by its self.

Answer : -2<x≤5

NEED HELP ASAP!

The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?

Answers

Answer: x=68, y=37

Step-by-step explanation:

The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.

2y-6+y=105

3y-6=105

3y=111

y=37

Then you would plug in the y to one of the equations. I will do the second one but you can do either one.

x=2y-6

x=2*37-6

x=74-6

x=68

What is the radian measure of an angle equal to 225 degrees????

Answers

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

What is the radian measure of an angle?

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Learn more about the measure of an angle from a radian here:

https://brainly.com/question/8916147

#SPJ2

Solve the inequality 3(x - 7) + 2(4x + 9) > 0.

Answers

Answer:

x>3/11

3x - 21 + 8x + 18 >0

11x - 3 >0

11x >3

x>3/11

​​

Answer:

Step-by-step explanation:

3(x - 7) + 2(4x + 9) > 0

3x-21+8x+18>0

11x-3>0

11x>3

x>3/11

Evaluate the following expression using the values given: Find LaTeX: 3r^2-5s+6t3 r 2 − 5 s + 6 t if LaTeX: r=2,\:s=-4,\:t=-1r = 2 , s = − 4 , t = − 1
Answers:
-2
26
38
-14

Answers

Answer:

26

Step-by-step explanation:

These problems always really confuse me but I took a quiz with this question and this is my answer 26

Answer:26

Step-by-step explanation:

i just took the test

I am very confused with this problem please help me

Answers

Answer:

The answer is -0.5

Step-by-step explanation:

Divide both side by the numeric factor on the left side then solve

The answer to this problem is X= -1/2, -11/2

1 3 Which is the best estimate of 11. 113 2 4? O 4 O 6 o 22 O 33​

Answers

Answer:22

Step-by-step explanation:

What is the measure of ∠ ACD?

Answers

Answer:

so 1st, subtract 33 and 117 from 180

180-117-33= 30

then you subtract 30 from 180

180-30= 150

and your measurement of angle ACD is 150

solve for x (log) PLEASE HELP ASAP! thank you!!!! *will give brainliest ofc*

Answers

Answer:

( D ) x = 6

Hope this helps !! :)

I’ll give the Brainliest to who answers the question with and reasonable explanation.


When is the constant of proportionality the same as the unit rate when comparing two quantities?

A. Only when the two quantities are indirectly proportional

B. Only when the two quantities are directly proportional

C. Always

D. Never


Thank you!

Answers

Answer:

it's A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Just got it correct

find the greatest common factor and the least common multiple of 12 and 20 explain
I’ll give brainleast

Answers

Answer:

GCF: 4

LCM: 60

What is three hundred forty two thousandths in decimal form?

Answers

Answer:

C

Step-by-step explanation:

it says thousandths and a number group with a th at the end is on the right of the decimal.

Answer:

C: 0.342

Step-by-step explanation:

Here's how it works:

.(tenth)(hundredth)(thousandth)

Therefore,

"Three hundred forty-two thousandths" is 0.342.

I need help with this question pls

Answers

Answer:

A. would be a.

Step-by-step explanation:

Answer:

a) D

b) 4.09 cm

Step-by-step explanation:

a) P of a circle is 22/7 D

Half a circle 1/2 22/7 D

D= 2r

1/2 22/7 2x (D)

b) Find Radius

P = (3.142 * (2r) )

25.71 = 3.142 *2r

r= 4.09 cm

A school hoped to raise $30,000 at an auction to pay for
new computers. After the auction was over, the school
found they had made $34,800. What percent of their goal
did the school raise?
A
186%
B
116%
с
86%
D
16%

Answers

The answer is B
Explanation:::

2 pens in each pack of black pens 5 pens in each pack of red pens 6 pens in each pack of green pens On Monday number of packs sold of black, red and green pens = 7 : 3 : 4 A total of 212 were sold.

Answers

Answer:

The number of green pens sold is 96.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A shop sells packs of black pens, packs of red pens and packs of green pens. There are:

2 pens in each pack of black pens

5 pens in each pack of red pens

6 pens in each pack of green pens

On Monday, number of packs of black pens sold : number of packs of red pens sold : number of packs of green pens sold = 7:3:4

A total of 212 pens were sold.

Work out the number of green pens sold.

The explanation of the answer is now given as follows:

Since the ratio is given in packs of pens, we have to first convert it to number of pens based on the number of pens in each pack. Therefore, we have:

7:3:4 is converted to (7 * 2) : (3 * 5) : (4 * 6) = 14 : 15 : 24

Based the new ratio, we have:

Weight of contribution of the green pens to the total number of pens sold = 24 / (14 + 15 + 24) = 24 / 53 = 0.452830188679245

The number of green pens sold can now be calculated as follows:

Number of green pens sold = Total pens sold * Weight of contribution of the green pens to the total number of pens sold = 212 * 0.452830188679245 = 96

Therefore, the number of green pens sold is 96.

I'm very confused, I don't know where to even start! Please help me!!

Answers

Answer/Step-by-step explanation:

✔️Using trigonometric ratio, find width of the rectangle, BD:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = BD

Adjacent = 7 cm

Plug in the values

[tex] \sqrt{3} = \frac{BD}{7} [/tex]

Multiply both sides by 7

[tex] 7\sqrt{3} = BD [/tex]

[tex] BD = 7\sqrt{3} [/tex]

✔️Using trigonometric ratio, find height of the rectangle, BF:

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Where,

[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]

Opposite = 6 cm

Adjacent = BF

Plug in the values

[tex] \sqrt{3} = \frac{6}{BF} [/tex]

[tex] BF = \frac{6}{\sqrt{3}} [/tex]

Rationalize

[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]

[tex] BF = \frac{6\sqrt{3}}{3} [/tex]

[tex] BF = 2\sqrt{3} [/tex]

✔️Perimeter of rectangle BDEF:

Perimeter = 2(BD + BF)

Plug in the values

[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]

[tex] Perimeter = 2(9\sqrt{3}) [/tex]

[tex] Perimeter = 18\sqrt{3} [/tex]

✔️Area of the rectangle BDEF:

Area = BD × BF

Plug in the values

[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]

[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]

[tex] Area = 14 \times 3 [/tex]

[tex] Area = 42 [/tex]

Andrew buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound.

True or False: Two pounds of apples cost more than $3.

Answers

Answer:true

Step-by-step explanation:

A box in the shape of a rectangular prism measures 2 feet by x feet by 4 feet. Write a simplified expression for the volume (in cubic feet) of the box.

Answers

Answer:

8x  ft^3

Step-by-step explanation:

Step one:

given

dimension of the box

Length= 2ft

width = x ft

Height= 4 ft

Required;

the expression for the volume of the box

Step two:

We know that the volume is expressed generally as

V=L*W*H

V= 2*x*4

V= 8x  ft^3

The expression for the volume is V= 8x  ft^3

Maggie says the LCM of 8 and 12 is 24. Her friend Glen says the answer is 4. Who is rigth?

Answers

Answer:

Maggie

Step-by-step explanation:

Ms. McGuirk wants to know if she built her son's new sandbox with a perfect right angle or not? The shorter sides are 15 feet and 8 feet what should the measure of the 3rd side be to make it a perfect right angle?

Answers

Answer:

17 feet

Step-by-step explanation:

A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.

The hypotenuse is the largest side of the right angle

The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively

Opposite = 15 feet

Adjacent = 8 feet

Hypotenuse = x feet

Using Pythagoras theorem to solve

Hypotenuse ² = opposite ² + adjacent ²

x² = 15² + 8²

x² = 225 + 64

x² = 289

Find the square root of both sides

√x² = √289

x = 17 feet

The 3rd side is 17 feet

Pls help me solve for x ill give 10 points away

Answers

Answer:

.53 pounds of dog food each day.

Step-by-step explanation:

Use PEMDAS to solve

can someone answer the problem, please?
158
× 4

Answers

158 x 4 = 632 :) shshdjdhdb

Answer:

the answer is 632

Step-by-step explanation:

just do some normal multiplication. :)  

(take 2 bc i messed up) What is √30 simplified

Answers

Answer: the square root of 30 is simplified to 5...

Hope this helps! :D

Step-by-step explanation:

Answer:

Square root of 30 simplified is 5

Step-by-step explanation:

Hope this helps! c:

What is the value of (2)⁶?​

Answers

Answer:

64

Step-by-step explanation:

2 to the sixth power would be 2 multiplied by itself 6 times

Evaluate x – y if x = 5 and y = -2.

Answers

It would be 5-(-2) which would change to 5+2 which equals 7.

Answer:

7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

x - y

x = 5

y = -2

Step 2: Evaluate

Substitute:                    5 - -2Simplify:                        5 + 2Add:                              7

Can somebody help me on this

Answers

Answer/Step-by-step explanation:

a. 3x + 13 = 12x - 2x

Add like terms

3x + 13 = 10x

3x = 10x - 13 (subtraction property of equality)

3x - 10x = - 13 (substraction property of equality)

-7x = -13

-7x = -13/-7 (division property of equality)

x = 13/7

b. 6j - 12 + 4j - 8 = 10

Add like terms

6j + 4j - 12 - 8 = 10

10j - 20 = 10

10j = 10 + 20 (addition property of equality)

10j = 30

10j/10 = 30/10 (division property of equality)

j = 3

c. 10y - 4y = 14 + 2y - 3y

Add like terms

6y = 14 - y

6y + y = 14 (addition property of equality)

7y = 14

7y/7 = 14/7

y = 2

d. 4p + 8 - 3p = 33

Add like terms

4p - 3p + 8 = 33

p + 8 = 33

p = 33 - 8 (subtraction property of equality)

p = 25

PLEASE HELP ASAP Which of the following expressions is equivalent to the expression 42 + 90?

Answers

Answer:

6(7+15)

Step-by-step explanation:

6×7=42

6×15=90

what is the sum of four consecutive odd numbers is 80?

Answers

Answer:

Let first number be x , so other numbers will be x+2,x+4 and x+6. Now sum of all these number is 4x+12=80 or x=(80–12)/4=68/4=17 . So numbers are 17,19,21 and 23.

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

6x+4y=42 -3x+3y=-6 by elimination

Answers

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.

x=5

y=2

Answer: (5, 3)

Step-by-step explanation:

Solve by Addition/Elimination

6x + 4y = 42 −3x + 3y = −6

Multiply each equation by the value that makes the coefficients of x opposite.

      6x + 4y = 42

      (2) ⋅ (−3x + 3y) = (2) (−6)

Simplify (2) ⋅ (−3x + 3y).

      6x + 4y = 42

      −6x + 6y = (2) (−6)

Multiply 2 by −6. 6x + 4y = 42

      −6x + 6y = −12

Add the two equations together to e liminate x from the system.

      6x + 4y = 42

    ±6x + 6y = −12

             1 0y= 30

Divide each term in 10y = 30 by 10.

      10y  =     30

      10          10

Cancel the common factor of 10.

     y = 30/10

  Divide 30 by 10.

      y = 3

Substitute the value found for y into one of the original equations, then solve for x.

Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42

 Multiply 4 by 3.

      6x + 12 = 42

Move all terms not containing x to the right side of the equation.

      6x = 30

Divide each term by 6 and simplify.

      x = 5

The solution to the independent system of equations can be represented as a point.

(5, 3)

The result can be shown in multiple forms.

Point Form:

(5, 3)

Equation Form:

x = 5, y = 3

Line m has the equation y = 1/2x - 4
If lines m and n are parallel to each other, which of the following equations could represent line n?
2x+y=4
2x-y=4
X+2y=4
X-2y=4

Answers

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

[tex]x-2y=4[/tex]

solving for y to writing the equation in the slope-intercept form and determining the slope

[tex]x-2y=4[/tex]

Add -x to both sides.

[tex]x - 2y + (-x) = 4+(-x)[/tex]

[tex]-2y = 4 - x[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]

[tex]y=\frac{1}{2}x-2[/tex]

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

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