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7/8 is equivalent to 56/64

The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

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Answer:

A 1.04d

Step-by-step explanation:

The amount of the loan (d) must be paid, along with the interest (0.04d).

d + 0.04d = 1.04d

Answer : The correct options are, (A), (C) and (D)

Step-by-step explanation :

Given:

Principle = P = (d) dollars

Interest rate = R = 4 %

Time = T = 1 year

First we have to determine the simple interest.

Using simple interest formula:

where,

P = principle  

R = interest rate

T = time

S.I = simple interest

Now put all the given values in the above formula, we get:

Now we have to determine the total amount.

Amount = Principle + Simple interest

Amount = d + 0.04d

Amount = 1.04 d

Amount = d + 1/25d

Thus, the correct options are, (A), (C) and (D)

904.32 is the volume.

Volume of sphere

= (4/3)πr³

= (4/3) × 3.14 × (6cm)³

= (4/3) × 3.14 × 6cm × 6cm × 6cm

= 4 × 3.14 × 2cm × 6cm × 6cm

= 904.32 cm³

Answer:

IT IS EASY FORMULAE OF SPHERE IS 4/3πr³ so,

Step-by-step explanation:

                                                    put the value,

                                              =   4/3 * 3.14 *  6³

                                              =  1.333 * 3.14 * 216

                                              =  4.18562 * 216

                                               =  904.09 cm³ ans

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

Answer:

300%

Step-by-step explanation:

To find percent change we need to use this formula:

\(change = \frac{Amount of change}{Original} * 100\)

To find the amount of change we need to minus 50 from 200:

200 - 50 = 150

Now that we have the amount of change we can plug it in to the equation with the original amount (50):

\(change = \frac{150}{50} = 3 * 100 = 300\)

Therefore, the percent of change is 300%.

I hope this helps!!

- Kay :)

Therefore, the measure of angle ∠Y to the nearest tenth of a degree is approximately 103.2 degrees.

To find the measure of angle ∠Y, we need to use the law of cosines, which relates the lengths of the sides of a triangle to the cosine of its angles.

The formula for the law of cosines is:

\(c^2 = a^2 + b^2 - 2ab cos(C)\)

Where a, b, and c are the lengths of the sides of the triangle, and C is the angle opposite to side c.

In our case, we know the lengths of the sides w, x, and y, and we want to find the angle ∠Y, which is opposite to side y. So, we can use the formula as follows:

\(y^2 = w^2 + x^2 - 2wx cos(Y)\)

Substituting the values, we have:

\(630^2 = 170^2 + 590^2 - 2(170)(590) cos(Y)\)

Simplifying and solving for cos(Y):

\(cos(Y) = (170^2 + 590^2 - 630^2) / (2170590)\)

cos(Y) ≈ -0.236

Note that the cosine of an angle is negative if the angle is between 90 and 180 degrees, which is the case for angle ∠Y in this triangle. Therefore, we need to use the inverse cosine function to find the measure of angle ∠Y:

Y ≈ 103.2 degrees

Rounding to the nearest tenth of a degree, we get:

Y ≈ 103.2°

Therefore, the measure of angle ∠Y to the nearest tenth of a degree is approximately 103.2 degrees.

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The final rule for g(x) is g(x) = 3|3x| + 12.

To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.

So, the rule for g(x) is g(x) = 3f(x).

Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:

g(x) = 3f(x)

g(x) = 3(-|3x| - 4)

g(x) = -3|3x| - 12

This is the expression for g(x), which represents the transformed graph.

To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.

Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.

Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.

The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).

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We'll use the exponent rule that a^(b+c) = a^b*a^c

to break up 17^16 into 17^(14+2) = 17^14*17^2

That allows us to factor like so

17^16+17^14

17^14*17^2+17^14*1

17^14(17^2 + 1)

Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.

Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290

Because 290 ends in a 0, this means that 5 is a factor

290 = 5*58

This makes 5 to be a factor of the original expression.

----------------

So overall,

17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58

The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.

Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.

Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.

Answer:

32

Step-by-step explanation:

Use the given functions to set up and simplify  f (− 2 ) .

First,

Write the problem as a mathematical expression

Then,

Replace the variable  x  with  − 2  in the expression.

Answer:

The answer is 24

Step-by-step explanation:

You would get this by plugging in -2 for X

2(-2)3(-2)

Then with PEMDA do parenthesis first

So (-4)(-6)

Then multiply the final together and you would get..

24

This is because two negatives equal a positive when multiplying.

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

360/15 = 24

Step-by-step explanation:

Convert them all into decimals. Percent is just 0.--, and the fraction you can calculate out which gives: 0.625=5/8,0.64=64%

5/8

64%

0.65

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

9514 1404 393

Answer:

  61.5°

Step-by-step explanation:

The tangent relation is useful here. The angle is opposite the vertical side and adjacent to the horizontal side of the right triangle.

  Tan = Opposite/Adjacent

  tan(α) = 35/19

  α = arctan(35/19) ≈ 61.5°

The angle made by v and the positive x-axis is 61.5°.

Answer:

It is parallel to a surface

Step-by-step explanation:

Answer:

B. It is perpendicular to a surface.

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

x = 25

Step-by-step explanation:

We know that A and M are on a line, which is 180 degrees, and the little square means 90 degrees. So, ∠RAM = 180 - 90 = 90 degrees.

∠RAM = ∠RAX + ∠XAM

90 = (2x - 10) + (-3x + 125)

Now, simply combine like terms and solve for x:

90 = 2x - 3x - 10 + 125

90 = -x + 115

x = 115 - 90 = 25

Thus, x = 25.

~ an aesthetics lover

Answer:

128 + (-20)

u can solve it now

Step-by-step explanation:

as 2*10=-20

and 3+125= 128

and answer would be

128-108

=20x

Step-by-step explanation:

Hello there!

Its simple,

Given that, Ade had 23 hand bags.

selling price of each bag=$409

total sold bags= 22.

now, total amount he got was = no.of sold bag×sp of each bag.

so, total amount = 22×$409

=$8998.

Therefore, he has $ 8998 now.

Hope it helps...

Answer:

y - 4 = 4(x - 5)

Step-by-step explanation:

We are given that a line has a slope (m) of 4 and passes through the point (5,4).

We want to write this equation in point-slope form.

Point-slope form is given as \(y-y_1=m(x-x_1)\), where m is the slope, and \((x_1,y_1)\) is a point.

Since we are given the slope and the point, we can immediately plug them into the formula.

Let's start with the slope; we can replace m in \(y-y_1=m(x-x_1)\) with 4.

\(y-y_1=4(x-x_1)\)

We can now plug 5 for \(x_1\) and 4 for \(y_1\).

y - 4 = 4(x - 5)

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

The answer is y-7=4(x+4)

The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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In linear equations, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32.

What are instances of linear equations?

Let the number of players be n

Since each team can have between 2 and 4 players

n ≥ 2 or 2 ≤ n, and n ≤ 2

Therefore, the allowable number of players on a team   is given by 2 ≤ n ≤ 4

2) There are four players in Han's team and a perfect score is 20

Therefore, the number of points Han's team earns in one round if every player earns a perfect score   is given by 4 * 20

3) There are four players in Han's team

Total score if each player in Han's team earns a perfect score is 4 * 20 = 80

Let the total score of Han's team be T

Therefore, the number of points, Han's team earns in one round if no players earn a perfect score   is given by T < 80

4) If two team have 4 players, it is given by 2 * 4

If the rest four teams have 3 players each, it is given by 4 * 3

Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each  is given by (2 * 4) + (4 * 3)

5) Let the possible number of players in a game with be P

Maximum number of players in eight teams = 4 * 8 = 32

Minimum number of players in eight teams = 2 * 8 = 16

P ≤ 32 and P ≥ 16 or 16 ≤P

Therefore, the possible number of players in a game with eight teams  is given by 16 ≤ P ≤ 32.

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The complete question is -

In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents

Answer:

3. 84m^3

4. 16.2 ft^3

5. 14.7 ft

6. 288 m

hope this helps

have a good day :)

Step-by-step explanation:

The number itself equals any integer raised to the power of one.

What is Exponent?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.

What is integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z or blackboard bold mathbb Z.

Any number that is multiplied by one has the same value as the original number, according to the exponent rule.

Take this as an example:

You can write x to the power of 1 as x and 100 to the power of 1 as 100.

Therefore, anything raised to the power of one equals that number.

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