A small airplane used 4 5/16 gallons of fuel to fly a 1.25-hour trip. How many GALLONS were used EACH HOUR?

Answers

Answer 1

Answer:

13.8 gallons per hour

Step-by-step explanation:

"Gallons per hour" means to divide gallons by hours.  Even the label can be a reminder of what to do:  [tex]\frac{\text{gal}}{\text{hr}}[/tex] .

Now for the math...

[tex]4\frac{5}{16} \div 1.25 =4\frac{5}{16} \div 1\frac{1}{4}[/tex]

Changing both numbers to mixed number form helps.  (You could also change both numbers to decimals--a calculator would help!)

Change mixed numbers to improper fractions, then divide.

[tex]\frac{69}{4} \div \frac{5}{4}=\\\\\frac{69}{4} \times \frac{4}{5}=\\\\\\\frac{69}{5}=13.8[/tex]


Related Questions

does anyone know the answer to this??

Answers

Answer:

10 4/15

Step-by-step explanation:

(4+5)+(2/3+3/5)

9+(2/3+3/5)

9+19/15

9+1 4/15

10+4/15

10 4/15

. A factory produces 32 tables in an 8-hour day. Calculate how many
tables are produced:
a ) in 1 hour b) in 3 days c ) in a 5-day week

Answers

Answer:

A) 4

B)280

C)480

Step-by-step explanation:

1. 32÷8 =4

multiply 4 by the times of hours in that day frame

and boom you got your answers

Find the value of c that creates a perfect square trinomial.
x^2+16x+c c =

x^2−20x+c c =

Answers

Answer:

c=8

c=100

Step-by-step explanation:

PLEASE HELP ME ASAP!!!!!!!!!

In a school, 10% of students have 7 ball pens, 30% of students have 3 ball pens, 40% of students have 2 ball pens and 20% of students have 1 ball pens. What is the expected number of ball pens of a student?

Answers

The expected number of ball pens of a student is 2.4.

What is the expected number?

In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.

The expected number of ball pens of a student can be calculated by taking a weighted average of the number of ball pens that each group of students has.

The weight for each group is the percentage of students that are in that group.

So, we can calculate the expected number of ball pens of a student by:

(10% * 7) + (30% * 3) + (40% * 2) + (20% * 1)

0.7 + 0.9 + 0.8 + 0.2

The expected value is also known as the population means and it can be calculated by summing the product of each outcome’s probability and its corresponding value.

Here, the outcome is the number of ball pens.

Hence, the expected number of ball pens of a student is 2.4.

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Bella wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.75 per pound and raspberries cost $2.75 per pound. How much does she spend if she buys 3 pounds of blueberries and 1.5 pounds of raspberries? How much does she spend if she buys xx pounds of blueberries and yy pounds of raspberries?

Answers

Answer:

a) 15.375

B) at a minimum 65 dollars

Step-by-step explanation:

part one you multiply the pound by the price and get your answer and part 2 its a double digit number so you find the minimum

I need help with this math problem if u out a link I’ll report u but if u giv a good answer I’ll mark as brainliest

Answers

Answer:

1. MAD for Jada's data set = 1

Step-by-step explanation:

Mean Absolute Deviation = sum of the distances of each data value from the mean ÷ number of data value

Jada's data set is given as: 4, 4, 4, 6, 6 ,6

Mean = 5

✔️Find the distance between each data value form the mean

4 = |4 - 5| = 1

4 = |4 - 5| = 1

4 = |4 - 5| = 1

6 = |6 - 5| = 1

6 = |6 - 5| = 1

6 = |6 - 5| = 1

✔️Find the sum of the distances of each data value from the mean

1 + 1 + 1 + 1 + 1 + 1 = 6

✔️Find the MAD:

MAD = 6/6

MAD = 1

Write two expressions (with at least two terms each) that when added together have a sum of -4n 6.

Answers

On solving the provided question, we can say that the sum of the two expressions will be -4n + 6

what is expression ?

It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression) A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)It is possible to compare expressions and phrases.

Expression, Number/Variable, and Mathematical Operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.

let the two expression be

-4nand 6 and the sum will be -4n + 6

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Which expression represents the growth of an investment of $2,000 at 4% per year for a period of t years?

2000t1.04
2000(0.04)t
2000(1.04)t
2000(1.4)t

Answers

Answer:

2,000(1.04)t

Step-by-step explanation:

To determine this answer, you would use the formula initial value (1 + interest) times the number of years. This would equal 2,000(1.04)t.

Answer:

Which expression represents the growth of an investment of $2,000 at 4% per year for a period of t years?

2000t1.04 2000(0.04)t 2000(1.04)t  <<<CORRECT 2000(1.4)t

Step-by-step explanation:

Edge 2021

What is the domain of the function f/x )= √ 4 X²?

Answers

The domain and range of function Y = 4x² are:

Domain: (-∞, ∞) {x | x ∈ R}

Range: [0, ∞) {y | y ≥ 0}

Now, According to the question:

What are the domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

We have,

Y = 4x²

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (-∞, ∞)

Set-Builder Notation:  {x | x ∈ R}

The range is the set of all valid y values: [0, ∞)

Set-Builder Notation: {y | y ≥ 0}

Hence, the domain and range of function Y = 4x² are:

Domain: (-∞, ∞) {x | x ∈ R}

Range: [0, ∞) {y | y ≥ 0}

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The complete question is this:

What is the domain of the function Y = 4x²

In the equation y = 2x + 3, if the change in x is 1, the corresponding change in y will be _____.

Answers

Answer:

search it

Step-by-step explanation:

Nora had $179 in her bank account an deposits $40 per month into her bank account. Liliana has $31 and deposits $77 per month into her account. Enter the number of months it will take for both Nora and Liliana to have the same amount of money in their accounts

Answers

Answer:

4 months

Step-by-step explanation:

y=179+40x.  Equation 1

y=31+77x.     Equation 2

179+40x=31+77x. Replace y from equation 1 and replace y of equation 2

148=37x

4=x

In a lab experiment, 760 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 15 hours. How long would it be, to the nearest tenth of an hour, until there are 1180 bacteria present?​

Answers

Answer:

9.5

Step-by-step explanation:

delta math

NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3 ( DISREGARD THE ALREADY MARKED ANSWER, I DID THAT ON ACCIDENT )

Answers

Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

x=5

Cos theta = -1/6 what is tan theta

Answers

Therefore , the solution to the given problem of trigonometry comes out to be tanθ = - √35 .

What is trigonometry?

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.

Here.

Given : Cosθ = -1/6

To find : Tanθ

Since cosθ is in second quadrant

Thus,

Cosθ = B/H

According to pythagoras theorem,

H²= B²+ P²

=> 6² = 1² + P²

=> 36-1 =P²

=>P= √35


So ,

value of Tanθ comes out to be

=> tanθ = - √35 /1

=>tanθ = - √35

Therefore , the solution to the given problem of trigonometry comes out to be tanθ = - √35 .

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A rectangle has an area of 7. 5m2.

One of the sides is 0. 3m in length.

Work out the perimeter of the rectangle.

Answers

The perimeter of rectangle could be  50.6 if a rectangle has an area of 7. 5 and One of the sides is 0. 3m in length.

What is Area of rectangle ?

area of rectangle could be the product of its sides that is length and breadth.

Given the area of rectangle is 7.5

one of its side, length = 0.3

let other side be x .

area = length*breadth

7.5 = 0.3 * x

x = 25

hence , other side could be 25.

perimeter of rectangle = 2 (length+breadth)

= 2 * (25+0.3)

= 2 * (25.3)

= 50.6

Hence, The perimeter of rectangle is 50.6

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Which of the following is an exponential function?
a) f(x)=5x-6
b) f(x)=2/x
c) f(x)=3x^3
d) f(x)=3^x

Answers

Answer:

d) f(x)=3^x

Step-by-step explanation:

it is written in exponential function form

Can someone please explain how to do inequalities in math.
please add an example too.

Answers

When solving inequalities, solve them like regular equations. Worry about the inequality sign/s at the end.

For instance, if the inequality is 11 - 8x < -13

1.Subtract 11 on both sides to get -8x by itself. 11-11 - 8x < -13-11

2. Simplify
-8x < -24

3. Divide both sides by -8
-8x/-8 < -24/-8

4. Simplify
X < 3, but since you divided by a negative number you need to switch the inequality sign to x>3. This is because an inequality rule says when you’re dividing a negative number, the inequality sign switches. But, if you’re dividing by a positive number, you don’t change the sign.

And you would graph this on a number line by having an open circle of 3 with the line going to the right. It would have an open circle because it doesn’t include 3 as the solution.

Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.)

Answers

The domain and range of the functions are Domain: (-∞,∞),{x|x∈R} and Range: [4,∞),{y|y≥4}.

What is vertex form of a quadratic function of graph?

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.

From the graph, vertex is (h, k)=(0, 4) and (x, y)=(2, 0)

Here, y= a(x - h)² + k

0=a(2-0)+4

-4=2a

a=2

Substitute, a=2 and (h, k)=(0, 4) in y= a(x - h)² + k, we get

y=2(x-0)²+4

y=2x²+4

So, f(x)=2x²+4

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (-∞,∞),{x|x∈R}

Range: [4,∞),{y|y≥4}

Now,

(a) f(-3)= 2(-3)²+4=18

(b) f(2)= 2(2)²+4=12

(c) f(0)= 2(0)²+4=4

(d) f(3)= 2(3)²+4=18

Therefore, the domain and range of the functions are Domain: (-∞,∞),{x|x∈R} and Range: [4,∞),{y|y≥4}.

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show your work plz and i will give brainliest

Answers

Answer:

B) is false

Explanation:

A triangle canot have 2 abtuse angles and one acute angle.

Answer:

B is false

Step-by-step explanation:

a is true because an equilateral triangle has three acute angles (60 degrees)

c is true because an iscoceles triangle can be drawn with one obtuse angle and two acute angles.

d is true because a right angled triangle can be drawn with one right angle  and two acute angles.

b is false because neither an equilateral, iscoceles, right-angled, or scalene triangle can be drawn with two obtuse angles.

a.
A rectangular prism has a volume of 192 cm. Its length is 8 cm and its width is 6 cm. What is the prism's height?
4 cm
C. 24 cm
b. 48 cm
d. 32 cm I'll give Brainly

Answers

Answer:

4cm

Step-by-step explanation:

Volume of a rectangular prism is V = L x W x H

plug in what we know:

192 = 8 x 6 x H

192 = 48H

divide both sides by 48

H = 4

10. A list of data has one number: 20. What is the
mean, median, mode, and range?

Answers

Answer:

Mean: 20

Median: 20

Mode: 20

Range: 20

Step-by-step explanation:

HELP THIS IS URGENT!!!! During a sale, a store offered a 35% discount on a camera that originally sold for $750. After the sale, the discounted price of the camera was marked up by 35%. To the nearest whole number, what percent of the original price was the price after markup?

Answers

Answer:

the percentage is 62%

Step-by-step explanation:

answer to this please

Answers

Answer:

Sue travels for 3 hours and a half

Sue stays stationary for 2 hours and a half

Step-by-step explanation:

Everytime the curve climbs, it means Sue is travelling. Everytime the curve stays flat, it means Sue is stays stationary. It remains to count up the total for both categories, with one square being 30 minutes.

Sue spends 3.5 hours on travelling and 2.5 hours stationary.

What is distance-time graph?

It is a graph which shows how far an object has travelled in a given time.

What is a stationary graph?

It is graph of function which represents there is no change in the function value or the function value is constant.

What is change in value?

"subtract old value from new value."

For given example,

Given distance-time graph represents a journey made by Sue.

Let 't' represents the travelling time and 's' represents the stationary time.

If we observe the graph,

from 2 pm to 3 pm Sue travelled 5 miles

⇒ t1 = 3 - 2

⇒ t1 = 1 hour

from 3.5 pm to 4 pm she travelled 10 miles

⇒ t2 = 4 - 3.5

⇒ t2 = 0.5 hour

from 5 pm to 6.5 pm she travelled 15 miles

⇒ t3 = 6.5 - 5

⇒ t3 = 1.5 hours

from 7.5 pm to 8 pm she travelled 5 miles

⇒ t4 = 8 - 7.5

⇒ t4 = 0.5 hour

So, the total travelling time would be,

⇒ t = t1 + t2 + t3 + t4

⇒ t = 1 + 0.5 + 1.5 + 0.5

t = 3.5 hours

Also, Sue spends stationary from 3 pm to 3.5 pm

⇒ s1 = 3.5 - 3

⇒ s1 = 0.5 hour

She spends stationary from 4 pm to 5  pm

⇒ s2 = 5 - 4

⇒ s2 = 1 hour

She spends stationary from 6.5 pm to 7.5 pm

⇒ s3 = 7.5 - 6.5

⇒ s3 = 1 hour

So, the total stationary time would be,

⇒ s = s1 + s2 + s3

⇒ s = 0.5 + 1 + 1

s = 2.5 hours

Therefore, Sue spends 3.5 hours on travelling and 2.5 hours stationary.

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There are 8 pencils in each pack of pencils. A teacher ordered some packs of pencils. How many pencils will the
teacher receive?

Answers

Answer: The teacher will receive 96 pencils

Step-by-step explanation:

1.) You take the amount of packs she ordered and multiply it with the amount pencils in each pack. (12x8)

Troy walked 85 meters. Rico walked 29 meters.
How much farther did Troy walk than Rico?

Answers

Answer:

he walked 56 more than rico

Dobra has 20 birr to Spenclon juice boxes for her son's preschool picnic. Each pack of juice boxes Corts 2.50- what is the maxiumum a numbers of packs she can buy

Answers

Using simple unitary method and with the total and per unit value provided, The answer is 8 boxes maximum can be bought.

What is unitary method?

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

Why is unitary method important?

The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.

each box costs  = 2.5

total money =20

maximum that can be bought = 20/2.5 =8

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Would it be possible for 3x2 to equal 1?

Answers

Answer:

no

Step-by-step explanation:

3x2=6 ;-;

Is it possible for [tex]3\times2[/tex] to equal 1?

[tex]3\times2=6[/tex]

[tex]6\neq 1[/tex]

Therefore, [tex]3\times2[/tex] DOES NOT equal to 1.

3 Points
SHORT ANSWER
Question 10
What is the area of the regular polygon shown below?
8 cm
Answer using complete sentences and include all relevant calculations.
H.

Answers

Answer:

[tex]12 \sqrt{6} [/tex]

Step-by-step explanation:

If each side of the regular hexagon measures 8cm then the area of the given hexagon is 96√3 square centimeters. 96√3 simplified is 12√6.

Select all the as that inequalities that have the same solution as -4x<20

A. -x<5
B. 4x>-20
C. 4x<20
D. X<-5
E. X>5
F. X>-5

Answers

Answer:

A, B, F

Step-by-step explanation:

Divide both sides of -4x<20 by 4, and we have A

Multiply both sides of -4x<20 by -1, since -1 is a negative number, we reverse the inequality, and we have B

Multiply both sides of -x<5 (A) by -1, since -1 is a negative number, we reverse the inequality, and we have F

1. What is the measure of angle ABE?
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2. Select all true statements about the figura
E
A
B
129
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40°
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20 Wov
C
saq bebundenda
10 bos kasnil 62 anil

Answers

The solution is 40°

The measure of the angle ∠ABE = 40°

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

Let the angle be represented as ∠ABE

Now , let the line be EBC and the total angle of a straight line = 180°

And , the measure of ∠CBD = 40°

Since , ∠ABE and ∠CBD are vertically opposite angles ,

The measure of ∠ABE = measure of ∠CBD

Therefore , the value of ∠ABE = 40°

Hence , the measure of vertically opposite angle ∠ABE = 40°

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