Mike and his family drove 460 miles on their vacation. Their car averaged 23 miles per gallon of fuel. If the cost of fuel was $1.55 a gallon, how much did they spend on fuel?!!!!!!!

Answer:

c

Step-by-step explanation:

Answer:

\(6^{10}\)

Step-by-step explanation:

We can use the following rule of surds to solve the problem:

\(\boxed{a^m \times a^n = a^{m + n}}\),

which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.

Applying this rule:

\(6^2 \times 6^8\)

⇒ \(6^{2 + 8}\)

⇒ \(\bf 6^{10}\)

Answer:

C.

Step-by-step explanation:

Answer:

C. Segment AC

Step-by-step explanation:

I am going to figure all the angles first. Triangles always add up to 180 degrees so I am going to use that.

50 + 49 = 99

180 - 99 = 81

<C = 81°

99 + 37 = 136

180 - 136 = 44

<A = 44°

The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°. Therefore, Segment AC is the shortest.

Answer:

4

Step-by-step explanation:

How many 2/5s are in 1 1/2? To make it easier and simpler , I would change these fractions into decimals . Our answer is there are ALMOST 4 of 2/5ths in 1 and a half .

Answer:

12

Step-by-step explanation:

you divide

Answer:

12

Step-by-step explanation:

Answer:

b. 5π/6 is not a solution to cosØ=3√2.

Answer:

x^2-2x-48

Step-by-step explanation:

FOIL

Firsts = x*x = x^2

outside = x*-6 = -6x

inside = 8*x = 8x

lasts = 8*-6 = -48

add all together x^2-6x+8x-48 = x^2-2x-48

Answer:

x² + 2x - 48

Step-by-step explanation:

( x + 8 ) ( x - 6 )

=  x ( x - 6 ) + 8 ( x - 6 )

= x*x - 6*x + 8*x + 8*( - 6 )

= x² - 6x + 8x  - 48

= x² + 2x - 48

Answer:

Third degree because it is cubed or to the power of 3.

Answer:

y= .45x + 11/3

Step-by-step explanation:

Those points are not on the same line but you can get pretty close with

y= .45x + 11/3

Answer:

5.33 or 5 33/100

Step-by-step explanation:

Divide sixteen by three

Note: it’s going to have on going threes.

Each person will get a fraction 3 / of 16 of 3 apple pies in the thanksgiving dinner.

Given that,
Evan baked 3 apple pies for Thanksgiving dinner. There were 16 people over at the house, including Evan. Each person ate the same amount of apple pie, and all of the pie was eaten.
To determine how much pie did each person eat?.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Total apple pies = 3
Number of people = 16

Each person eats = 3 / 16
                           

Thus, each person will get a fraction 3 / 16 of 3 apple pies in thanksgiving dinner.

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The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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Inequalities help us to compare two unequal expressions. The inequality that model this situation is 1c + 2k ≤ 10. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Let c represents the number of carrots and k represents the number of leeks.

Given that At the store, carrots are marked at $1.00 per pound, and leeks are marked at $2.00 per pound. Therefore, the total cost can be written as,

1c + 2k

Also, it is given that Emily wants to buy carrots and leeks for a stew, but she only has $10.00 with her. Therefore, she must spend $10 or less than that.

Thus, the inequality can be written as,

1c + 2k ≤ 10

The graph of the given inequality can be made as shown below.

Hence, the inequality that model this situation is 1c + 2k ≤ 10.

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We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

The affect of mean and median due to the birth of the 4th kitchen is B. Both the mean and median will increase, but the mean will increase by more than the median.

The median is the middle value when the values are ordered from smallest to largest. In this case, the median of the first 3 kittens is 153 because it is the middle value of (147, 153, 159). The median of all 4 kittens is 153 because it is the middle value of (57, 147, 153, 159). The median does not change because the addition of the 4th kitten does not change the position of the middle value.

The mean is calculated by adding up all the values and dividing by the number of values. In this case, the mean of the first 3 kittens is:

(147 + 153 + 159) / 3 = 153

The mean of all 4 kittens is:

(147 + 153 + 159 + 57) / 4 = 128

The mean increases because the addition of the 4th kitten with a lower mass pulls the overall average down.

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The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

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Answer:

34

Step-by-step explanation:

Answer:

C) y = (5^x)/2

Step-by-step explanation:

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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Answer:

9/12

6/8

30/40

27/36

15/20

Step-by-step explanation:

Answer:

7cm

Step-by-step explanation:

3cmx3cm=9cm

9cmx3.14=28.26

28.26/197.9=7 (plus a bunch of decimals!)

So 7cm is your height

Answer:

7.50 is the answer so either 7 or 8

Step-by-step explanation:

h= (A/2piR) -r

Plug in the area and the radius and you got the answer. Use 3.14 as pi

Answer:c=200

Step-by-step explanation:

30(5) + 50 = 200

20(5) + 100 = 200

-------------------------------|

100 30m

- 50 - 20m

——— ———

50 10m 50/10 = 5 [m=5]

Answer:

(x+2)(x+3)

Step-by-step explanation:

Answer:

f(x)=27000(0.086)^x

Step-by-step explanation:

An exponential function, f(x), that models the goal for the number of hay bales sold x years from now is f(x)= 27000(1.086)ˣ. Therefore, option 1 is the correct answer.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

Given that, Principal = $27,000, rate of interest = 8.6% and time = x years.

Here, the exponential function = 27000(1+8.6/100)ˣ

= 27000(1+0.086)ˣ

f(x)= 27000(1.086)ˣ

Therefore, option 1 is the correct answer.

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Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

The graph of the absolute value inequality is on the image at the end.

The options are missing, so I will do the graph and post it so you can see how it should look.

Here we have the inequality:

|x − 21| < 3

We can decompose that inequality with two:

x - 21 < 3

x - 21 > -3

Solving both od these for x we will get:

x < 3 + 21 = 24

x > -3 + 21 = 18

Then we have the inequality:

18 < x < 24

The graph will be a segment with two open circles at x = 18 and x = 24, the graph is in the image at the end.

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