C. You filled your car tank with gas at the beginning of the trip. At the start of
the trip, your odometer read 25,678 miles. At the end of your trip, your
odometer read 26,109 miles. When you filled your tank at the end of the trip,
it took 15 gallons of gas. How many miles per gallon did the car get?

Use the point-slope formula.

y - y_1 = m(x - x_1)

y - 4 = (-2/3)(x + 6)

y - 4 = (-2/3)x - 4

y = (-2/3)x - 4 + 4

y = (-2/3)x + 0

y = (-2/3)x

Slope = -2/3

y-intercept = 0, which means the x-axis.

Answer:

Where's the table and graph?

Answer:

21 = n

Step-by-step explanation:

[tex]5 - \frac{1}{3}n = -2[/tex]

-5 - 5

________________

-⅓n = -7

____ __

-⅓ -⅓

21 = n

* Dividing by a fraction is the exact same as multiplying by its multiplicative inverse:

[tex]\frac{-7}{-\frac{1}{3}} = -7 \times -3 = 21[/tex]

I am joyous to assist you anytime.

Value of expression at x = -3 is 28.

All the mathematical equations which have any variable and constant in them are linear equations where variables are not fixed.

Given expression -2(3x-2)+x+9 at x=-3

simplify equation

-6x+4+x+9  = -5x+13

substitute x= -3

-5(-3)+13 = 15+13= 28

Hence the value at x= -3 is 28

Learn more about linear equations

https://brainly.com/question/29739212

#SPJ5

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&1196.61\\ P=\textit{original amount deposited}\\ r=rate\to 2.25\%\to \frac{2.25}{100}\dotfill &0.0225\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &8 \end{cases}[/tex]

[tex]\bf 1196.61=P\left(1+\frac{0.0225}{4}\right)^{4\cdot 8}\implies 1196.61=P(1.005625)^{32} \\\\\\ \cfrac{1196.61}{(1.005625)^{32}}=P\implies 999.9969 \approx P[/tex]

Answer:

y = -2

Step-by-step explanation:

You would use the Point-Slope Formula since we are given a point:

y - y₁ = m(x - x₁)

y + 2 = 0

y = -2

Because there was no rate of change [slope] given, it was automatically assumed to be a zero slope, which is a horizontal line.

I am joyous to assist you anytime.

Answer:

D

Step-by-step explanation:

y = -2/5x+4

Hope I helped all you have to do is subsitute the values for m and b!

Answer: 147

Step-by-step explanation:

First, 9 x 4 = 36

Again, 9 x 4 = 36

Finally 15 x 5 = 75

So, 36 + 36 + 75 = 147

Answer:85.15

Step-by-step explanation:

Answer:

37:103

Step-by-step explanation:

First, you have to identify how many people preferred the Bucaneers. That would be 74.

Secondly, you have to figure out the total number of responses. To do this, you add up ALL of the responses. They key word TOTAL is telling you this.

Thirdly, you write it as a ratio. This can be with the two numbers side by side, a fraction, or in a written response.

Lastly, you simplify your final answer.

Hope this helped!

Answer:

Wrong

Step-by-step explanation:

Since 54 / 12 is 4.5

Answer:

Step-by-step explanation:

the answer is b

Answer:

Step-by-step explanation:

[tex]g(x) = 3x^{2} - 5x + 5[/tex]

[tex]g(2) = 3(2^{2}) - 5(2) + 5[/tex]

[tex]g(2) = 3(4) - 10 + 5[/tex]

[tex]g(2) = 12 - 10 + 5[/tex]

[tex]g(2) = 7[/tex]

Represent it as N+3/2.

☺Happy to help!

Answer:

[tex]-7 + 8i[/tex]

Step-by-step explanation:

[tex](-11 + \sqrt{-4}) + (4 + \sqrt{-36}) = (-11 + 2\sqrt{-1}) + (4 + 6\sqrt{-1})[/tex]

We know [tex]\sqrt{-1}[/tex] is a complex number and is defined by [tex]i[/tex]

∴[tex](-11 + \sqrt{-4}) + (4 + \sqrt{-36}) = (-11 + 2i) + (4 + 6i) = -7 + 8i[/tex]

Answer:

180 people

Step-by-step explanation:

If there are 5 people for each table and there are 36 tables, so then you would need to multiply 36 by 5, because you wouldn't want to add 5 people 36 times lol, so then when you multiply them together, you would get 180 people in total in the restaurant. :-)

hope this helped! ♡

Answer:

$342.63

Step-by-step explanation:

0.19 * 423 = 80.37

423 - 80.37 = 342.63

Answer: zero and zero nineteenth thousandths

Step-by-step explanation:

The number 0.019 in expanded form is written as 0.010 + 0.009, which represents one-hundredth and nine-thousandths respectively.

The student is asking for the number 0.019 to be written in expanded form. Expanded form is a way to break down a number to show the place value of each digit. The number 0.019 in expanded form can be written as:

0.010 + 0.009

The first 0.010 represents one-hundredth and the second 0.009 represents nine-thousandths.

https://brainly.com/question/34236895

#SPJ3

Answer:

z=2x+3

z-3=2x

x=z-3/2

Answer:

75

Step-by-step explanation:

Answer:75

Step-by-step explanation:

1/5=.2

15/.2=75

Answer:

5/6 + 4/9 = 23 / 18

= 1 5/18

Step-by-step explanation:

Answer:64<84

Step-by-step explanation:

Answer: 40

Step-by-step explanation: You need to divide first because of the order of operations. This gives you 36+2+2, which is 40

Answer:

The correct answer is 40

Step-by-step explanation:

When solving use PEMDAS

"Please excuse my dear aunt sally"

there are no parentheses or exponents so look for and multiplication or  division and you see that there is division so solve:

6÷3 = 2

Then look for addition or subtraction and solve:

36+2+2=40

the answer is 40.

Have a blessed day.

Answer:

His car's speed rate to the nearest thousandth of an hour is 100.489

Step-by-step explanation:

First: This is the only step, round the speed rate to the nearest thousandth:

When rounding always look at the place value they're telling you to round to and the place value to the right of it. Since, the question wants us to round to the nearest thousandth, look at the thousandths place but more specifically the place value to its right. The thousandths is the third digit behind the decimal point and the one to its right would be the fourth.

100.4893

So, if the number to the thousandths' right is less than 5 turn that number into a zero and keep the rest of the number the same. If the number is greater than or equal to 5 round up by making the number in the thousandths place a digit bigger.

Since 3 is smaller than 5, we'll turn the 3 into a zero and keep the rest the same.

100.4890

Since the zero is behind the decimal point and it is the number farthest to the left we can take it out.

100.489

Thank you for reading

Topic: Rounding, Place Value

Answer:

C

Step-by-step explanation:

EFGH is a kite, so EF ≅ FG and EH ≅ HG.

The area of the kite consists of two area of triangles EFG and EHG.

1. Area of triangle EFG:

[tex]A_{\trangle EFG}=\dfrac{1}{2}\cdot EG\cdot h,[/tex]

where h is the height drawn from point F to the side EG.

1. Area of triangle EHG:

[tex]A_{\trangle EHG}=\dfrac{1}{2}\cdot EG\cdot H,[/tex]

where H is the height drawn from point H to the side EG.

3. Note that

[tex]EG \cong \text{rectangle's length}[/tex]

[tex]h+H\cong \text{rectangle's width}[/tex]

So,

[tex]A_{\text{kite }EFGH}\\ \\=A_{\triangle EFG}+A_{\triangle EHG}\\ \\=\dfrac{1}{2}\cdot EG\cdot (h+H)\\ \\=\dfrac{1}{2}\cdot \text{rectangle's length}\cdot \text{rectangle's width}\\ \\=\dfrac{1}{2}A_{\text{rectangle}}[/tex]

Thus, option C is true (the area of the kite doesn't depend on ratio in which points E and G divide the side)

Answer:

C.) The area of EFGH is always 1/2 of the area of the rectangle.

Step-by-step explanation:

The answer would be {3, 5, 7, 9, 11, 13, 15}.

Answer:

The other answer is wrong the correct answer is {3, 5, 7, 9, 11, 13}

Step-by-step explanation:

Odyssey

Answer:

m/3

Step-by-step explanation:

lets say they earn $600

we will use the variable m

m=money

so....

m/3

is your answer

Answer:

Any number plus 0 is the same as the first number.

Step-by-step explanation:

6 + 0 = 6, 8 + 0 = 8,9+ 0 = 9, 100 + 0 = 100.

Conclusion: Any number plus 0 is the number.

For example: x + 0 = x

x is the number.

Answer: 0

Step-by-step explanation:

100+0=100.

Just basic addition too. 100+0=100. That simple.

No other number can give off 100 like 0 can. 100 plus 0 just gives it the number itself.

Just like how 6+0=6. 6 is just being added to itself.

So, your answer for this is 0. No other number can give off a better answer than the 0 for this problem.

Bada bing bada boom! I hope this helps you!

Answer:

a

Step-by-step explanation:

Given

2| x - 3 | + 5 = 17 ( subtract 5 from both sides )

2| x - 3 | = 12 ( divide both sides by 2 )

| x - 3 | = 6

The absolute value function always returns a positive value but the expression inside can be positive or negative, that is

x - 3 = 6 OR -( x - 3) = 6

x - 3 = 6 ( add 3 to both sides )

x = 9

OR

-( x - 3) = 6 ← distribute left side

- x + 3 = 6 ( subtract 3 from both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

Hence x = 9 or x = - 3 are the solutions → a

Slope = -6/5

Work is provided in the image attached.

The slope of the line passing through the given points is -6/5.

The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1).

In this case, the coordinates of the two points are (-8, -6) and (-18, 6). Applying the formula, we have: m = (6 - (-6)) / (-18 - (-8)) = 12 / (-10) = -6/5.

Therefore, the slope of the line that passes through the points (-8, -6) and (-18, 6) is -6/5.

https://brainly.com/question/34849567

#SPJ3