Metric countries rate the fuel efficiency of a car by the number of liters of gasoline required to drive 100 kilometers. If a car takes 9 liters per 100​ kilometers, what is its efficiency in miles per​ gallon? Use the conversions 1 gal= 3.7854 L and 1 mile = 1.6 km.
WILL MARK BRAINLIEST

Answer:

3 years

Step-by-step explanation:

Answer: [tex]\frac{3}{4} x^4y^3[/tex]

Answer:

12

Step-by-step explanation:

(66 2/3)

---------- (x) = 8

  100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

Look at the attached picture

Hope it will be helpful to you

Answer:

x>-1              or        x<-5

Step-by-step explanation:

4 |x+3|>8

Divide each side by 4

4/4 |x+3|>8/4

|x+3|>2

Absolute value inequalities have 2 solutions, one positive and one negative

Remember to flip the inequality when finding the negative solution

x+3 >2      or       x+3 <-2

Subtract 3 from each side

x+3-3>2-3    or     x+3-3 <-2-3

x>-1              or        x<-5

Answer:

C

Step-by-step explanation:

The data is skewed, and the lowest number of crackers in a package was 7

Answer:

they are correct the answer is C

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation: It's the same as finding the area of a cube but you have to divide by 2

Answer:

300

Step-by-step explanation:

To find the volume of a prism (it doesn't matter if it is rectangular or triangular) we multiply the area of the base, called the base area B, by the height h. 6x10=60 which is the base times the height 5 and you get 300.

Hope this helps!

Final answer:

To find the number of different ways for the four friends to choose who cooks and who cleans, one can use combinators to calculate that there are 6 different combinations.

Explanation:

The student asked, "My three friends and I have dinner together every weekend. Each weekend, two of us cook and the other two clean up afterwards. How many different ways are there for us to choose who cooks and who cleans?" To solve this, we can use combinatorics, which is a branch of mathematics dealing with combinations of objects belonging to a finite set in accordance with certain constraints.

There are four friends, so we want to know in how many ways we can select two of them to cook. The number of ways to choose the two people who will cook can be calculated using the formula for combinations, which is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, and k is the number of items to choose.

Here, n would be 4 (since there are four friends), and we want to choose 2 (the number of friends who will cook), so we get C(4, 2) = 4! / (2! * (4-2)!) = (4 * 3) / (2 * 1) = 6 ways to choose cooks. The other two automatically become the cleaners. So, there are 6 different ways for the four friends to choose who cooks and who cleans.

Answer: C

Step-by-step explanation: its C

AnsweR: I did the hw and got the answers right here,

It is the sum of the shape’s volumes.

The volume in terms of pi is the exact volume.

Using the calculator to multiply by pi provides the approximate volume.

Step-by-step explanation:

The correct answer is :

The volume of the composite solid is simply the sum of the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'.

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Answer: The correct answer is C.35.

Step-by-step explanation:

70÷2=35

The value of the measure of XBA is,

⇒ 35 degree

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Here, ray BA bisects XBY which measures 70 degrees

Hence, The value of the measure of XBA is half of the measure of XBY.

So, We get;

the measure of XBA is,

⇒ 70 / 2

⇒ 35 degree

Thus, The value of the measure of XBA is,

⇒ 35 degree

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1st page : 16 , 32 , 7

2nd page : (Going down) 8 , 4 , 2 , 15 , 3 , 35 , 12 , 1 , 105 , 25 , 21 , 90

Plz correct me if I'm wrong

Answer:

a because that seems the most accurate

Step-by-step explanation:

Answer:

The standard deviation of the sample is 2.55 gigabytes

Step-by-step explanation:

Here we have the responses as follows;

Storage space usage on their computer [tex]x_i[/tex]

The number of respondents or sample size, n = 5

        [tex]x_i[/tex]            [tex](x_i - \bar x)[/tex]         [tex](x_i - \bar x)^{2}[/tex]

        4                -4                 16

        8                 0                  0

        8                 0                  0

        9                 1                   1

        11                 3                  9

∑      40                                   26

The sum = ∑X = 4 + 8 + 8 + 9 + 11 = 40

The mean  = (The sum)/(The count) = 40/5 = 8

Formula for population standard deviation is;

[tex]\sigma = \sqrt{\frac{\Sigma (x_i - \mu)^2}{n } }[/tex]

Where:

σ = Population standard deviation

μ = Population mean

Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample therefore;

The formula for sample standard deviation is;

[tex]s = \sqrt{\frac{\Sigma (x_i - \bar x)^2}{n - 1} }[/tex]

Where:

s = Sample standard deviation

n = Sample size

[tex]x_i[/tex] = Each value of the sample

[tex]\bar x[/tex] = Sample mean

We find each value of [tex](x_i - \bar x)[/tex] by subtracting the x values from the mean, 8, as in the table above, next we find [tex](x_i - \bar x)^{2}[/tex] by squaring the [tex](x_i - \bar x)[/tex].

Next, we find the sum of the differences from the mean square values from the table after which we divide by n - 1, to get [tex]{\frac{\Sigma (x_i - \bar x)^2}{n - 1} } = \frac{26}{5 - 1} = \frac{26}{4} = 6.5[/tex]

We find the root of the result which gives us the standard deviation hence

√6.5 = 2.5495.

Standard deviation, s = 2.5495 ≈ 2.55 to two significant places of decimal.

After making a table for summation the standard deviation of the sample is 2.55 gigabytes.

Use the formula for population standard deviation is:

[tex]\sqrt{\dfrac{\sum{(x_i - \mu)^2}}{n}[/tex]

Where:

σ = Population standard deviation

μ = Population mean

The formula for sample standard deviation is;

[tex]\sqrt{\dfrac{\sum{(x_i - X)^2}}{n-1}[/tex]

Where:

s = Sample standard deviation

n = Sample size

[tex]x_i[/tex] = Each value of the sample

X = Sample mean

Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample, therefore;

The storage used is represented by [tex]x_i[/tex]

The number of respondents or sample size represented by n

Then n = 5

The table for summation is attached below.

Find the sum of the differences from the mean square values from the table after which we divide by n - 1,

[tex]\dfrac{\sum{(x_i - X)^2}}{n-1} = \dfrac{26}{5-1}\\\\\dfrac{\sum{(x_i - X)^2}}{n-1} =6.5[/tex]

Find the root of the result which gives us the standard deviation hence

√6.5 = 2.5495.

Hence,

Standard deviation,

s ≈ 2.55 about two significant places of decimal.

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Answer:

The set (39, 80, 89) can be used to make a right triangle. Thus, option D is correct.

Explanation:

We know that right-angle triangles obey the Pythagoras theorem, i.e.,

a² + b² = c²

Let's check for each set:

(39, 41, 45): 39² + 41² ≠ 45²

(39, 49, 59): 39² + 49² ≠ 59²

(39, 69, 99): 39² + 69² ≠ 99²

(39, 80, 89): 39² + 80² = 89²

Answer:

umm whats the question?

Step-by-step explanation:

Answer

13

Step-by-step explanation:

4(3)+1

12+1=13

Answer:

39 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

Let:

base = b = 4 ft

height = h = 3 ft

Solve for the area of the triangle:

A = 1/2(4)(3)

A = 2 * 3

A = 6 ft²

Area of a rectangle = bh

Let:

base = b = 9 ft

height = h = 5 ft

Solve for the area of the rectangle:

A = (9)(5)

A = 9 * 5

A = 45 ft²

Subtract the area of the triangle from the area of the rectangle:

45 - 6 = 39 ft²

39 ft² is your answer.

~

Answer:

39 ft²

Step-by-step explanation:

Shaded area = rectangle - triangle

(5 × 9) - (½ × 3 × 4)

45 - 6

39 ft²

Answer:

The first one is 5m - 4y.

The second one is 3x - 4y.

Step-by-step explanation:

Answer:

(7,3)

Step-by-step explanation:

Given,7 units away from x axis and 3 units away from y axis,

Coordinates are written in (x,y) form

(x,y)=(7,3)(Given)

Answer:

A

Step-by-step explanation:

7 units away from the origin in the direction of the x-axis

So it can be (7, ?) or (-7, ?)

3 units away in the direction of the y-axis

So it can be (7, 3) or (-7, -3) or other things

Remember: (X, Y)

A is (7,3) which is a possible based on this

B would not work based on this

C would not work either

D wouldn't too

Answer:

-4 degrees

Step-by-step explanation:

Starting at 2 degrees, you need to subract 6 since 200 km= 6 degrees and it decreases.

The temperature after 200 km of the polar bear's journey is -4° C.

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The daily average temperature decreases 3°C for every 100 km traveled

At the start of the bear's journey, the temperature is 2°C

The total distance traveled by the polar bear = 200 km

For 200 km, [tex](3+3)[/tex] totally 6° C should get decreased.

⇒ [tex](2-6)[/tex]

⇒ [tex]-4[/tex]

Hence we can conclude that the temperature after 200 km of the polar bear's journey is -4° C.

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Answer:

Option D, 7, is the right answer.

Step-by-step explanation:

It is given that 28 slips of papers are numbered through 1 to 28.

Accordingly, there are 28 numbers.

For a fair decision, the number of slips with each one must be the same.

Therefore, the decision will only be fair if the number of people in the group is a factor of 28.

The factors of 28 are -  1, 2, 4, 7, 14 and 28.

In this way, 7 is the only factor of 28 among the given options.

Hence, the answer will be 7.

Answer:

multiply: Length x Width x Height

Step-by-step explanation:

Answer: It is B

Step-by-step explanation: this is it because a linear line has a point 0,0 and B is the only one who does have that point.

Here Is a trick my dad taught me for this geometry, every time I did geometry I would've gotten mad about it so we made a trick

M-ultiply

A-nd

D-ivide

Hope this trick helps you!

Answer:

1.

3x = 0.5x2

x = -6 or x = 0

x = -4 or x = 3

x = -2 or x = 1.5

x = 0 or x = 6

2.

0 = 5x2 - 2x + 6

D. & C.

Answer:

[tex]3x^4-7x^3+x^2+2x+11[/tex]

Step-by-step explanation:

[tex]3x^2(x^2 - 4x - 2) + (5x^3 + 7x^2 + 2x + 11)[/tex]

First, I will expand the expression [tex]3x^2(x^2 - 4x - 2)[/tex]

[tex]3x^2(x^2 - 4x - 2) \\3x^4-12x^3-6x^2[/tex]

So, we got

[tex]3x^4-12x^3-6x^2+ 5x^3 + 7x^2 + 2x + 11[/tex]

Adding similar elements, we get:

[tex]3x^4-7x^3+x^2+2x+11[/tex]

Answer:

Machine's useful number of years = 9 years

Step-by-step explanation:

Using the straight line method, depreciation is calculated as the difference between the cost of the equipment minus the salvage value, all divided by the number of useful years.

Yearly Depreciation

= (Cost - Salvage value) ÷ (Number of useful years)

Yearly depreciation = P20,000

Cost = P200,000

Salvage Value = P20,000

Number of useful years = n

20000 = (200000 - 20000) ÷ n

20000 = (180000/n)

n = (180000/20000) = 9 years

Hope this Helps!!!