1
You are running a fuel economy study. One of the cars you find is blue. It can travel 383 miles on
1
3
4
1-
gallons of gasoline. Another car is red. It can travel 255
miles on
4
gallon of gasoline. What is
5
the unit rate for miles per gallon for each car? Which car could travel the greater distance on
1 gallon of gasoline?
The unit rate for the blue car is mile(s) per gallon.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
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Answer 1

The answer t^{}

o your question is i^{}

n the file


Related Questions

Will give brainliest

Answers

Answer:

I think its the lifo method im not sure but i had a question like this in class

as an estimation we are told 5 miles is 8 km convert 58 km into miles

Answers

Solution:Given, 5 miles is 8 Km.So, 8 Km = 5 milesTherefore, 1 Km = 5/8 milesSo, 58 Km= 5/8 × 58 miles= 36.25 milesAnswer:

36.25 miles

HELP!!
To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true
Why or why not? What does that mean about the slope between points E and A and the slope between the points A an
C?

Answers

Answer: Slope for both is 2/3

Step-by-step explanation:

The slope for blue is 4/6, or 2/3 simplified

The slope for yellow is 2/3

Therefore, the slope is the same for both. EA and AC have the same slope.

Use thermos to find c in the following circles x= a b c

Answers

9514 1404 393

Answer:

  x = ab/c

Step-by-step explanation:

The applicable theorem tells you the product of chord lengths is the same for the two crossing chords:

  ab = cx

  x = ab/c . . . . . divide by the coefficient of x

If it takes a fan 12 minutes to walk her seat in the last section in the stadium and it takes 7 minutes to get to the
lowest-level seats, what is the average time to find a seat in these two sections at the stadium?

Answers

Answer:

9.5

Step-by-step explanation:

Probably wrong, but to find average you add up 12+7 then divide by 2, that is 19/2 which is 9.5

The average value of the time is 9.5 minutes.

What is average?

"The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set".

For the given situation,

Time to walk in the stadium are 12 minutes and 7 minutes.

Number of values = 2

Formula to find average,

Average = Sum of Values/ Number of values

⇒ [tex]Average = \frac{12+7}{2}[/tex]

⇒ [tex]Average = \frac{19}{2}[/tex]

⇒ [tex]Average = 9.5[/tex]

Hence we can conclude that the average value of the time is 9.5 minutes.

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If the simple interest on a certain sum of money for 3 years is three-tenth of the sum,then find the rate of interest per annum

Answers

9514 1404 393

Answer:

  10%

Step-by-step explanation:

We assume the "sum" being referred to in both cases is the principal amount invested. The simple interest formula tells you ...

  I = Prt . . . . . . interest on P invested at annual rate r for t years

We have ...

I = 0.3Pt = 3

Filling in these values, we get ...

  0.3P = Pr(3)

  0.1 = r . . . . . . . . divide by 3P

The interest rate is 0.1×100% = 10% per year.

39. The difference between simple and compound interest on Rs. 500 for 3 years in yearly rate of interest is Rs. 2.432. What is the rate of interest ? ​

Answers

9514 1404 393

Answer:

  4%

Step-by-step explanation:

The multiplier for computing simple interest over a 3-year period is ...

  I = Prt . . . . . interest on principal P at rate r for t years

  I/P = rt = 3r

The multiplier for computing compound interest over a 3-year period is ...

  A = P(1 +r)^t . . . . amount with interest

  A/P -1 = (1 +r)^3 -1 . . . . multiplier for computing interest only

Then the multiplier for the difference in amounts of interest is ...

  ((1 +r)^3 -1) -3r = (1 +3r +3r^2 +r^3) -1 -3r = r^2(3 +r)

This means we need to solve the cubic ...

  r^2(3 +r) = 2.432/500

__

This can be solved a variety of ways. Perhaps my favorite is a graphical solution.  For that, we would rewrite the equation to the form ...

  f(x) = x^2(3 +x) -0.004864

so the solution is found where f(x) = 0. The graph shows the solution to be ...

  x = 0.04

The rate of interest is 0.04 = 4%.

_____

Additional comment

Using the above f(x) to develop a Newton's Method iterator, we find it to be ...

  x' = (x²(2x +3) +0.004864)/(3x(x +2))

This needs a starting value, so we need an initial clue as to the approximate interest rate.

That can be offered by rearranging the cubic we first developed:

  r = √(0.004864/(r +3))

Starting with r=0, this gives r ≈ 0.0402. At this point, we can either use this equation as an iterator, or use the Newton's method iterator above. Both will give an interest rate accurate to 4 or 5 decimal places in one iteration.

__

You may be aware from the development above that the polynomial that must be solved will have a degree equal to the number of years over which interest is computed. That is, solving the same question for a 10-year period would involve finding the root of a 10th-degree polynomial.

Suppose that you borrow $10,000 for four years at 8% toward the purchase of a car. Find the monthly
payments and the total interest for the loan.

Answers

Answer:

25thousand six hundred

help on this i don’t get it

Answers

9514 1404 393

Answer:

opening upwardaxis of symmetry: x = 0.25vertex: (0.25, -3.25)x-intercepts: 0.25 ±√0.8125 ≈ {-0.651388, 1.151388}y-intercept: -3

Step-by-step explanation:

I find it useful to graph the function using a graphing calculator. That answers most of the questions.

This function is written in standard form (terms have decreasing powers of x). It is a 2nd degree function, because the highest power of x is 2. A second-degree function is also called a quadratic. The leading coefficient is the coefficient of the term with the highest power of x. Here the leading coefficient is 4. The sign of it is positive, which tells you which way the graph opens (when the degree is even).

Opening

When the leading coefficient is positive, the function's graph opens upward. (If it were negative, the graph would open downward.)

Vertex

The vertex is the extreme point on the graph. If you want to find it algebraically, its coordinates are ...

  (-b/(2a), c -b^2/(4a))

where 'a', 'b', and 'c' are the coefficients of ax² +bx +c. In this function, a=4, b=-2, c=-3, so the vertex is ...

  (-(-2)/(2(4)), -3 -(-2)^2/(4(4)))  = (1/4, -3 1/4)

Axis of Symmetry

The axis of symmetry is the vertical line through the vertex. It will have the equation x=constant. Of course, the constant must be the x-value of the vertex (which is why we found the vertex first).

  x = 1/4

x-intercepts

The x-intercepts are where the graph crosses the x-axis. The attached graph shows an approximation of them, rounded to thousandths. You can compute the x-intercepts algebraically from the vertex and the leading coefficient.

  x-intercepts = (vertex x-value) ± √(-(vertex y-value)/(leading coefficient))

  x-intercepts = 1/4 ± √((3 1/4)/(4)) = 0.25 ±√0.8125 ≈ {-0.651388, 1.151388}

y-intercept

The y-intercept is the value of f(0), the point where the graph crosses the y-axis. It is always the constant in the polynomial, named 'c' above. The y-intercept is ...

  y-intercept = -3

_____

Additional comment

Sometimes you want the x- and y-intercepts written as coordinates. Of course the y-coordinate of the x-intercepts is 0. Similarly, the x-coordinate of the y-intercept is 0. The coordinate ordered pairs are shown on the graph.

These are fairly standard questions that are asked about quadratic functions. It can be worthwhile to get familiar with the way they are answered. (The computation of the x-intercepts shown here is perhaps a bit unusual, but is very effective once you have the function vertex. The values it gives are correct even when the "x-intercepts" are complex numbers.)

there are about 20 school days in a month so how many miles does I walk to school in a month​

Answers

Answer:

We need to know how many miles it takes to get to school

Edit:

100 miles

Explanation:

5 x 20 = 100  

Answer:

100mile

Step-by-step explanation:

5miles a day multiplied by 20 school days

Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!​

Answers

Answer:  -18w^7

This is the same as writing [tex]-18w^7[/tex]

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

Explanation:

The three terms we are multiplying are:

3w^(-2)2w^6-3w^3

The coefficients of those terms are: 3, 2, -3

Multiplying the coefficients gets us 3*2*(-3) = -18 which is the coefficient of the final answer.

As for multiplying the w terms, we add the exponents: -2+6+3 = 7, and this is the exponent of the final answer.

Wrapping everything up, that's how we end up with -18w^7

Answer: -18w ^ 7

I hope this helps

help plsssssssssssssssssssssssssssssss

Answers

9514 1404 393

Answer:

  (16, -23)

Step-by-step explanation:

We assume your notation means the figure is dilated by a factor of 3 with the origin as the center of dilation, then it is translated 2 units left and 4 units up.

These transformations can be written as ...

  (x, y) ⇒ (3x, 3y) . . . . . . . dilation by a factor of 3 about the origin

  (x, y) ⇒ (x -2, y +4) . . . . translation by (-2, 4)

These two transformations together give you ...

  (x, y) ⇒ (3x -2, 3y +4)

  (6, -9) ⇒ (3·6 -2, 3(-9) +4) = (18 -2, -27 +4) = (16, -23)

The point is transformed to (16, -23).

Noah started to solve the equation -4.6p - 6.3p + 3.9= 9.18 below.

1. Combine like terms: -10.9p+3.9=-9.18

Apply the next steps to solve the equation. What is the solution?

P= ?

Answers

9514 1404 393

Answer:

  p = 1.2

Step-by-step explanation:

From here, it is a 2-step linear equation.

Step 1:

Identify the constant term on the side of the equation with the variable. Subtract that constant from both sides.

  -10.9p = -13.08

Step 2:

Divide both sides by the coefficient of the variable.

  p = -13.08/-10.9 = 1.2

The solution is p = 1.2.

What are two numbers that round to 130 when rounded to the nearest tenth

Answers

Two numbers that round to 130 when rounded to the nearest tenth are 125 and 134.

Two numbers that equal 130 when rounded by the nearest tenth are 129 and 131

a bottle of shampoo and a bottle of body wash cost $14.50 in all. Mrs. Diaz buys 3 bottles of shampoo and 5 bottles of body wash for $56.90. What is the cost of one bottle of shampoo?

Answers

Answer:  $5.50

Step-by-step explanation: because adding all the shampoo together

The cost of one bottle of shampoo is $ 7.8

The cost is $ 7.8

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one bottle of shampoo be = x

Let the cost of one bottle of body wash be = y

Now ,

The total cost of a bottle of shampoo and a bottle of body wash = $ 14.50

Substituting the values in the equation , we get

x + y = 14.50   be equation (1)

And ,

The cost of 3 bottles of shampoo and 5 bottles of body wash = $ 56.90

Substituting the values in the equation , we get

3x + 5y = 56.90   be equation (2)

On simplifying equation (1) and equation (2) , we get

Multiply equation (1) with 5 , we get

5x + 5y = 72.5   be equation (3)

Subtract equation (2) from equation (3) , we get

2x = 15.6

Divide by 2 on both sides of the equation , we get

x = $ 7.8

Therefore , the value of x is $ 7.8

Hence , The cost of one bottle of shampoo is $ 7.8

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negative three times a number plus 4 is no more than the number minus 8 find the number

Answers

Answer:

[tex]x \geqslant 3[/tex]

[3, infinity)

Step-by-step explanation:

-3n + 4 < n-8

get all of the n's to the same side

-3n + 4 < n-8

+3n + 4 < +3n-8

4 < 4n-8

send the number (-8) off to the other side

4 < 3n-8

+8< 3n +8

12 < 3n

isolate variable

12/3 < 3n/3

4 < n

so

[tex]x \geqslant 3[/tex]

determine whether the function is even odd or neither ​

Answers

Answer:

neither

Step-by-step explanation:

If the graph is symmetric by the y-axis the function is even OR we can say that

f(x) = f(-x) for the function to be even

for f(3) = 2 and f(-3)= 2  works yet

for f(2) = 0 and f(-2) = 1 NOT an even function

f(-x) = -f(x) will make the function odd

f(-3) = 2 and -f(3) = -2 NOT an odd function

f(-x) ≠ -f(x) will make the function neither

f(-3) = 2 ≠ -f(3) = -2 the function is neither odd or even


Helpppppooooo quickly

Answers

Answer:

it is the last one

Step-by-step explanation:

The book club spent $455 on bookmarks. If they plan to sell them for $5 each how many must they sell to make a profit?

Answers

Answer:

92

Step-by-step explanation:

they must sell at least 92 because 92 times 5 equals 460 and so 460 is more than 455 so they made a profit

well they would need to sell over 91 to make more than the amount spent
91

Plssss helppppp, this is geometry

Answers

Answer:

Step-by-step explanation:

measure angle b

add it with 90

90 + b = A

and create an angle with the measure of sum (A)

Answer:

90

Step-by-step explanation:

the question sat sum of A'angle and B'angle.

so A+B=180  

so when you subtract 180-90=90

Can someone explain to me how you dot these?

Answers

Answer and Step-by-step explanation::

250 grams.

Is that 0.25 kg converted to grams? the picture is way too small.

Every kg has 1000 grams. Because it is 0.25 kilograms, you need to take 0.25  of 1000.

1000

x

0.25

= 250.

Please use the graph to answer

Answers

Answer:

Step-by-step explanation:

Pick two points and calculate the slope (Rise/Run).

I picked (-2,0) and (2,-2)

Rise = (-2 - 0) = -2

Run = (2-(-2)) = 4

Slope (Rise/Run) = -2/4 or -1/2

The line has an intercept of -1  (the "b" in y=mx + b)

So the equation is y = -(1/2)x -1

whoever answers correctly gets brainliest answer

Answers

Answer:

[tex] \frac{162.5}{325} = \frac{156}{x} \\ x = (325 \times 156) \div 162.5 = 312[/tex]

Answer:

This can solve by using corresponding triangles.

(TS/RT) = (VU/RV)

[tex](156 \div 162.5) \times 325 = vu[/tex]

VU = 309.12

= 309 m

solve pls brainliest

Answers

Answer:

1/2

Step-by-step explanation:

1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2 (common denominator: 6)

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

[tex] \frac{1}{6} + \frac{1}{3} = \frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2} [/tex]

──────────── ೄྀ࿐ ˊˎ-

PRELIMINARY

Fractions are part of a whole. For example, if an object is divided into two equal parts, the value of each part is half or one-half of the total number of objects. Fractions can be expressed in the form:

[tex] \frac{a}{b} [/tex]

a is the numeratorb is the denominator

DISCUSSION

Fractions also have fractions in different forms but have the same value which are called equivalent fractions. Fractions can also be simplified. To find a fraction equal to a fraction, we can multiply (×) or divide (÷) the numerator and denominator of the fraction by the same number. And to simplify fractions, we can divide (÷) the numerator and denominator of the fraction with the same number.

**

There are various forms of fractions, including:

Common Fractions are fractions that consist of a numerator and denominator.Mixed fractions are fractions that consist of whole numbers and fractions. If the numerator of a fraction is greater than the denominator, the fraction can be converted into a mixed number. To get the mixed number form of a common fraction, divide the numerator of the fraction by the denominator.A decimal fraction is a fraction of tenths, hundredths, thousandths, and so on written using a comma (,).Percents are another form of fraction with a denominator of one hundred. Percent is written with the symbol %.

**

Now from the discussion above, it turns out that ordinary fractions still have two more types, namely =

Pure Fraction

➳ A pure fraction is a fraction whose numerator is smaller than the denominator.

Impure fractions

➳ An impure fraction is a fraction whose numerator is greater than its denominator.

**

The arithmetic operations also apply to fractions, including:

Addition (+)Subtraction (-)Multiplication (×)Division (÷)................................Answer Details:

Subject: Mathematics

Grade: 5

Question Code: 2

Material : Chapter 5 - Fractions

Categorization Code : 5.2.5

Keywords: Definition of Fractions, Types of Fractions

Solve each inequality, graph the solution W + 5 < 12 ​

Answers

Answer:

W < 7

Step-by-step explanation:

1.

Step 1: Subtract 5 from both sides.

[tex]W + 5 - 5 < 12 - 5[/tex] [tex]W < 7[/tex]

2. Check out the image below to see the graphed solution.

4.
Which shows how to solve the equation 5 x = 80 for x in one step?

-(-5)X = 80(-5)
(5)x=80(5)
Help pls

Answers

Answer:

The second one.

Step-by-step explanation:

With the equation -4/5x=80, you need to multiply the reciprocal of the fraction in order to isloate x so that you can solve. Therefore, the second answer seems to best represent this.

The answer is B

Good luck and I hope this helps

help quick i will give 10 points

Answers

Answer:

See below.

Step-by-step explanation:

The top is a square 3 cm by 3 cm.

The other 4 sides are rectangles. Each one is 4 cm by 3 cm.

Front: 4 cm * 3 cm = 12 cm^2

Back: 4 cm * 3 cm = 12 cm^2

Right: 4 cm * 3 cm = 12 cm^2

Left: 4 cm * 3 cm = 12 cm^2

Top: 3 cm * 3 cm = 9 cm^2

TOTAL: 12 cm^2 + 12 cm^2 + 12 cm^2 + 12 cm^2 + 9 cm^2

TOTAL: 57 cm^2

Bottom prism (blue):

Front: 5 cm * 6 cm = 30 cm^2

Back: 5 cm * 6 cm = 30 cm^2

Right: 5 cm * 6 cm = 30 cm^2

Left: 5 cm * 6 cm = 30 cm^2

Bottom: 5 cm * 5 cm = 25 cm^2

Top: 5 cm * 5 cm - 3 cm * 3 cm = 25 cm^2 - 9 cm^2 = 16 cm^2

TOTAL: 30 cm^2 + 30 cm^2 + 30 cm^2 + 30 cm^2 + 25 cm^2 + 16 cm^2

TOTAL: 161 cm^2

Explanation for area of top of bottom (blue) prism.

Notice that the entire bottom of the top (yellow) prism is connected to the bottom prism, so there is no area of the bottom of the top prism that adds to the total surface area of the composite solid. With the bottom prism's top surface it is different. Since the top surface of the blue prism is larger than the bottom surface of the yellow prism, there is a bit of top surface of the blue prism that is seen. That area is the area of the top surface of the blue prism minus the area of the bottom surface of the top prism.

5 cm * 5 cm = 3 cm * 3 cm = 25 cm^2 - 9 cm^2 = 16 cm^2

The area of the top surface of the blue prism is 16 cm^2

Total surface area of the composite solid:

57 cm^2 + 161 cm^2 = 218 cm^2

Answer:

57 cm^2

Step-by-step explanation:

4 (4x3) + (3x3) = 48 + 9 = 57 cm^2

Front: 12 cm2

Back: 12 cm^2

Right: 12 cm^2

Left: 12 cm2

Top: 9 cm^2

what is the answer for this question? i will mark as brainliest

Answers

Answer:

45 degrees, 135 degrees, 225 degrees, 315 degrees

Step-by-step explanation:

x = 45 degrees + k * 90 degrees

t^3-4t^2-.5t+2=0

t = 4

t = 2^.5/2

cosx=2^.5/2


from 15 to 20
what percent of change

Answers

Answer:75/100 or 75%

We can see that our fraction is 75/100, which means that 15/20 as a percentage is 75%.

Since 20 x 5=100 so 75/100

15 x 5=75

Hope this helped!

Have a great day!

Hi, please help out on this.

Answers

The answer is the last one, [tex]2\frac{11}{12}[/tex]

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