Mikes truck can drive 115 miles on 5 gallons of gas. How many miles can be driven with 11 gallons of gas, using the same mpg?

Answers

Answer 1

Answer:

253 miles

Step-by-step explanation:

Ratio:

115:5 and x:11

Method 1:

115/5 = x/11

1265 = 5x                     (cross multiplying)

x = 253 miles

Method 2:

11/5 = 2.2

2.2 x 115 = 253

253 miles

Method 3:

115 / 5 = 23

23 x 11 = 253

253 miles

If my answer is incorrect, pls correct me!

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-Chetan K


Related Questions

if ab is parallel to cd and slop of ab is -3 what is the slope of cd

Answers

Answer:

-3

Step-by-step explanation:

Parallel lines share the same slope. Therefore, the slope of cd is -3.

Una empresa quiere confecionar 7²⁰ chompas. Si el 1er día confeccionada los 3/10 del total. El 2do dia los 2/9 del total, ¿cuantas chompas le falta confeccionar? Con cada paso porfavor :(

Answers

Answer:

A la empresa le faltan confeccionar 344 chompas.

Step-by-step explanation:

Dado que una empresa quiere confeccionar 720 chompas, si el 1er día confeccionaron los 3/10 del total y el 2do día los 2/9 del total, para determinar cuántas chompas le falta confeccionar se debe realizar el siguiente cálculo:

Día 1:

720 x 3/10 = X

720 x 0.3 = X

216 = X

Día 2:

720 x 2/9 = X

720 x 0.22222 = X

160 = X

720 - 216 - 160 = X

344 = X

Por lo tanto, a la empresa le faltan confeccionar 344 chompas.


Use SOH CAH TOA to find the missing side

Answers

b. 9.2

Step-by-step explanation:

cos(52) × 15 gives you the adjacent which is 9.2

The answer is 9.2 which is answer b

Find measure of angles B, E, D and C and the length of BC


Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

PLEASE HELP!!!!
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .

Answers

Answer:

2 in a half 6 player games and 6 and half 2 player games. hope this helps

Step-by-step explanation:

There were 7 two-player games and 6 six-player games played

What are system of equation?

A collection of two or more equations that share the same variables is known as a system of equations. The values of the variables that make all of the equations in a system of equations true are the solution to the system of equations. A point of intersection on the graphs of the equations of a system is known as the solution. A system of equations' solution set is the collection of all possible answers.

Solution:

Given:

Total games = 13

Athletes participated = 50

let x denote the number of 2-player games played and

   y denotes the number of 6-player games played

Hence the equations we get are:

     x ₊ y = 13 ........eq(1)

     2x ₊ 6y = 50  this can be further reduced as

      x ₊ 3y = 25 ......eq(2)

Now, solving both the equations using elimination method then we get :

   ₋2y = ₋12

      y = 6

Here we can notice that x is eliminated.

Now substitute y value in eq(1) then we get x as 7.

Hence total 13 games were played out of which 7 two-player and 6 six-palyer games were played.

Learn more about "System of equations" here-

brainly.com/question/2226590

#SPJ2

What is the area of the irregular polygon shown below?

Answers

Answer:

86 sq units

Step-by-step explanation:

it is the because:

18*4=72

3.5*4/2=7

7+7+72=86 sq units

What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area

Answers

Answer:

29.4 cm^2

Step-by-step explanation:

We can use a proportion to find the height:

120 : 100 = x : 7

x = (120 *7)/100 = 8.4 cm

Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2

Answer:

29.4cm²

Step-by-step explanation:

First we are going to find 120% of 7.

7 × [tex]\frac{120}{100}[/tex] = 8.4 cm

Therefore, 8.4 cm is the height.

Area =  [tex]\frac{1}{2}[/tex] Base × Height

= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²

Which function is increasing at the highest rate?
A.
x 1 2 3 4 5
g(x) -5 -4 -3 -2 -1
B.

C.
A linear function, f, with an x-intercept of 8 and a y-intercept of -4.
D.

Answers

The correct answer is A.

can someone please help for brainlest

Answers

No sorry I cannot help

Answer this please! No links please

Answers

Answer:

the arc length is

[tex]2\pi.14. \frac{45}{360} = \frac{7\pi}{2} [/tex]

=> B

A bakery offers a sale price of $3.00 for 4 muffins. What is the price per dozen?

Answers

Answer:

9 dollars.

Step-by-step explanation:

A dozen is 12.

12/4 = 3

$3 * 3 = $9

Step-by-step explanation:

3×4=12. 12 is a dozen. $3=4 muffins. $6=8 muffins. 9=12 muffins . so $9 for a dozen

There are 48 students in a speech contest. Yesterday, 2/3 of them have their speeches. Today, 7/8 of the remaining students give their speeches. How many students still haven't given their speeches?

Answers

Answer:

2 students

Step-by-step explanation:

Given that

There are 48 students out of which 2 by 3 have their speeches and the remaining of 7 by 8 give their speeches

We need to find the no of students who haven't given their speeches

So,

= 48 × 2 ÷ 3

= 32

Now

= (48 - 32) × 7 ÷ 8

= 14

So, the no of students still haven't given their speeches is

= 48 - 32 -14

= 2 students

Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15. Edgar also owns two par value $1,000 bonds from Cawh Consolidated Bank. The bonds had a market value of 105.166 when he bought them, and pay 8.3% interest yearly. Which aspect of Edgar’s investment in Cawh Consolidated Bank offers a greater percent yield, and how much greater is it? a. The stocks have a yield 6.43 percentage points greater than that of the bonds. b. The stocks have a yield 6.84 percentage points greater than that of the bonds. c. The bonds have a yield 1.05 percentage points greater than that of the stocks. d. The bonds have a yield 9.13 percentage points higher than that of the stocks.

Answers

Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.

Step-by-step explanation:

Firstly, the yield for stocks will be calculated as:

= return/ investment cost

= $3.15/$ 21.38

= 0.14733395

= 14.73%

The yield for bonds will be calculated as:

= Return/Investment cost

Return = 1,000 x 8.3% = 83

Investment cost = 1,000 x 105.166/100 = 1051.66‬

Yield = 83/1051.66

= 0.07892284

= 7.89%

Then, the difference between the yield will be:

= 14.73% - 7.89%

= 6.84%

Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.

Answer:

b.The stocks have a yield 6.84 percentage points greater than that of the bonds.    Step-by-step explanation: got it right on edge 2022!

x+y=80
5x+8y=535

what is x and what is y

Answers

Answer:

x+y=80 i.e. 5x+5y=400 multiplying both sides by 5

now 5x+8y=535

therefore 3y=535-400=135

therefore y=135/3=45

now x=80-y=80-45=35

therefore final answer x is 35 y is 45

Answer:

x=35, y=45

Step-by-step explanation:

x+y=80=>5x+5y=400 so (5x+8y)-(5x+5y)=535-400

<=>3y=135<=>y=45=>x=80-y=80-45=35

You need a 70% alcohol solution. On hand, you have a 420 mL of a 85% alcohol mixture. How much pure water will you need to add to obtain the desired solution?

Answers

Answer:

Pure water =74.1 mL

Step-by-step explanation:

You need 420 mL of a 70% alcohol solution.

420 mL of solution and 70% of it should be alcohol.

So,

420 * 70/100 mL

= 420 * 0.7

= 294 mL of alcohol and the rest should be water.

On hand, you have a 85% alcohol mixture.

The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:

Let

y = alcohol solution needed

85% of y = 294

85/100 * y = 294

y = 294 ÷ 85/100

y = 294 × 100/85

y = 29,400/85

y = 345.88235294117

Approximately, 345.9mL

The rest of 420 mL solution has to be pure water

Pure water = 420 mL - 345.9mL

= 74.1 mL

Pure water =74.1 mL

can someone pls help for brainlest

Answers

answer:
455 square kilometers
step-by-step explanation:
a = l • w
24 • 24
576
because there is a space where it isn’t shaded we have to find the area of that as well
11 • 11
121
now just subtract
576 - 121
455

Answer:

455 square kilometers (km2)

Step-by-step explanation:

Step 1: Find the area of the white square: 11 km x 11 km= 121 km2

Step 2: Find the area of the green square: 24 km x 24 km= 576 km2

Step 3: Subtract the white square from the green square: 576-121= 455

Step 4: The answer is 455 square kilometers (km2). Hope this helped!

Find each product. A. 2/5 • (-10)
B. -8 • (-3/2)
C. 10/6 • 0.6
D. (-100/37) • (-0.37)

Answers

Answer:

A. -4

B. 12

C. 1

D. 1

Step-by-step explanation:

change the whole number to fractions and multiply using fraction multiplications.

1. -4 2. 12 3. 1 4. 1

A student said that a pair of complementary angles cannot also be adjacents. Is the student correct?

Answers

Answer:

No

Step-by-step explanation:

Complementary angles are two angles whose measures add to 90 degrees. They may or may not be adjacent.

There can be two adjacent angles inside a 90-degree angle, so therefore, there can be complementary adjacent angles.

The student is not correct.

someone please help me!!

Answers

Answer:

y= -3x+5

Step-by-step explanation:

It's kind of hard to see but I'm going to assume it looks like

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

Let's start by converting this into slope-intercept form

y-2=x/3-1/3

y=x/3+2/3

One line is perpendicular to another line if their slopes are negative reciprocals of each other

our slope now is 1/3  which means its negative reciprocal is -3

so we have

y= -3x+b

Plug in the required coordiante to solve for b

2= -3(1)+b

2= -3+b

b= 5

put it together to get

-3x+5

please help thank you

Answers


I don’t know it is really hard to learn

Answer:

50  ft²

Step-by-step explanation:

ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also

2(25) = 50 sq feet

At the frozen yogurt shop, Colin pays $3.28 for his treat, which weighs 8 and 1/2 ounces. What is the unit cost (dollars per ounce)? Round to the nearest cent. Write your answer as a decimal

Answers

Answer:

39 cents

Step-by-step explanation:

3.38÷8.5=0.39

Use the following situation to answer the questions that follow: A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6.

When is the ball at it's maximum height? Round to the nearest hundredth if needed.

Answers

Answer:

22 feet

Step-by-step explanation:

When graphing the equation, the peak or the maximum of the equation is reached the 1st second of the throw and it reaches 22 feet.

A party rental company has chairs and tables for rent the total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3 chairs and 5 tables is $57 what is the cost to rent each chair and each table

Answers

Answer:

Let C = cost to rent each chair

Let T = cost to rent each table

 

4C + 8T = 73

2C + 3T = 28

 

Multiply the 2nd equation by (-2) and then add the equations together  

 

4C + 8T = 73

-4C - 6T = -56

 

2T = 17

T = 17/2 = 8.5

 

Plug this in to the 1st equation to solve for C

 

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

 

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

[tex]\sqrt \frac{256}{4\\}[/tex]

Answers

Answer:

8

Step-by-step explanation:

[tex]\sqrt{\frac{256}{4} }[/tex]

[tex]\sqrt{\frac{16*16}{2*2} }[/tex]

[tex]\sqrt{(\frac{16}{2})^2 }[/tex]

square and root gets cancel . so ,

[tex]\frac{16}{2}[/tex]

8

An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.
Calculate the upper bound of the perimeter of this triangle.

Answers

Answer:

15.5 cm

Step-by-step explanation:

Since it's corrected to the nearest centimeter, the place value of the units place is 1.

1/2 = 0.5

Upper bound = 15 + 0.5 = 15.5 cm

Hope this helps!

What is an equation of the line that passes through the points (-5,6) and (7,6)?​

Answers

The y values are not changing so y = 6 describes the line

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
ORX)-(3x? -x-5)(2x-5
1 x) = (3x* +2x)"
o 9x)= (4x2-7)
OM) - Bx - 4y - 1) (3,2-4

Answers

Answer: Choice A

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

Explanation:

For each expression in the parenthesis of choice A, focus only on the leading terms. Those would be the terms to the very left. The leading terms 3x^2 and 2x^6 multiply to 6x^8. This is the leading term of the final expansion and it's of degree 8. Any degree 8 polynomial will have 8 roots according to the fundamental theorem of algebra. Some of those roots may be complex numbers, or they may be purely real numbers.

Choice B can be ruled out because the leading term 3x^4 is raised to the 4th power to get (3x^4)^4 = 81x^16 as the leading term of the final expansion. This polynomial has 16 roots, but we want 8 roots instead.

Choice C is a similar story to choice B. In this case, we have (4x^2)^3 = 64x^6 as the leading term when you expand everything out. This 6th degree polynomial has 6 roots.

And finally, choice D can be ruled out as well. We follow the same steps as choice A. The leading terms from each parenthesis group multiply to 6x^8*3x^2 = 18x^10 showing we have 10 roots (due to the 10th degree polynomial).

Cash in hand $79; Bank overdraft $27​

Answers

Answer:

Step-by-step explanation:

cash in bank = 79

overdraft = 27

left = 79 - 27

     = 52

(m ^ 2 * n ^ 3)/(n ^ - 2)

Answers

Answer:

m²n⁵

Step-by-step explanation:

m²n³ / n-²

The exponent changes sign when "flipped" from division to multiplication

m²n³ * n²

m²n⁵

15.
Which of the quadratic functions has the widest graph?

A. 0.3x2

B. -4x2

C. -4/5x2

D. 1/3x2

Answers

If I’m correct, I think A. 0.3x2 is the correct answer.

Answer:

A. 0.3x2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

0.8

¯

3

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

0.8

¯

3

x

y

2

1.2

1

0.3

0

0

1

0.3

2

1.2

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

1

16

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

16

x

y

2

16

1

4

0

0

1

4

2

16

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

5

16

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

16

x

y

2

16

5

1

4

5

0

0

1

4

5

2

16

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

4

3

1

1

3

0

0

1

1

3

3

3

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