4. Suppose you have $75.00 to spend on gas for
your whole trip. You know that gas costs $2.70 per
gallon.
(4a) How many gallons of gas can you buy with the
money you have?
Round your answer to the nearest tenth of a gallon
You can buy gallons of gas.
(4b) If you know that you can drive 210 miles with
that much gas, how many miles per gallon does
your bus get?
Round your answer to the nearest tenth of a mile.
The bus gets
miles per gallon
.

Answer:

The value of cot 75° is 2 - √3 or 0.2679(approx).

Step-by-step explanation:

I hope it helps!
Muffin<3

Answer:

complete sentence

Step-by-step explanation:

it has a subject and a verb

Answer:

I would say sentence.

Step-by-step explanation:

It has punctuation, a subject, and a verb, so I would say it's a sentence.

There are different ways to estimate a variable. The sample mean is a point estimate of the population mean for the variable of interest.

A point estimate is known to be the value of a sample statistic that is often applied as one estimate of a specific population parameter.

The sample mean is defined simply as a form of average value seen in a sample. A sample is known to be the little portion of a whole.

Learn more about sample mean from

https://brainly.com/question/7597734

Answer:

In 11 weeks they will both be 162lbs each

Step-by-step explanation:

Answer:

(A) The unshaded octagon is a reflection because it is a flip over a diagonal line.

Step-by-step explanation: Trust, rust, and pixie dust

Answer:

A is correct

The unshaded octagon is a reflection because it is a flip over a diagonal line.

i took the test

Reducing

30-30*0.3=

21

21+21*0.05=22.05

Answer:

  26, 11, 4, 5, 14

Step-by-step explanation:

To find the value of the function, replace the variable with the number and do the arithmetic.

  f(-2) = 4(-2)² -3(-2) +4 = 16 +6 +4 = 26

For doing repetitive calculations, it is convenient to write the formula into a calculator or spreadsheet and let it work from the list of values. That is what we did in the attached. It shows a table of x and f(x) for the values of x you are interested in.

The function values are ...

_____

Additional comment

For evaluating polynomials, either by hand or machine, it is often convenient to rewrite the polynomial in Horner Form. The total number of math operations tends to be reduced. When doing this by hand, the arithmetic tends to be easier.

  f(x) = (4x -3)x +4

That is, the powers of x accumulate as each layer in parentheses is multiplied by x and the next coefficient added to the result.

Using this form, ...

  f(-1) = (4(-1) -3)(-1) +4

  f(-1) = (-7)(-1) +4 = 11

Answer:

True

Step-by-step explanation:

Just a tip, there are 16 ounces in a pound, and just searching 180 ounces into pounds can help with this stuff to if you don't want to do math yourself

Answer: False

Step-by-step explanation: Pound weighs more in ounce.

Answer:

KL = 51

Step-by-step explanation:

1: Make an equation

[tex]10x -2 = 5x-8 + 7x -12[/tex]

the 10x is the JL line which is the whole line segment

2: start solving by getting all x to be on one side

[tex]10x-5x-7x = -8 -12 +2[/tex]

3: simplify

[tex]-2x = -18[/tex]

4: solve for x

[tex]x=9[/tex]

5: plug x back into KL

[tex]7(9)-12 = 51[/tex]

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\stackrel{\textit{first term}}{-3}\\ r=\stackrel{\textit{common ratio}}{6} \end{cases}[/tex]

[tex]\stackrel{S_n}{-4665}~~ = ~~-3\left( \cfrac{1-6^n}{1-6} \right)\implies -4665=-3\left( \cfrac{1-6^n}{-5} \right) \\\\\\ -4665=\cfrac{3}{5}(1-6^n)\implies -4665\cdot \cfrac{5}{3}=1-6^n\implies -7775=1-6^n \\\\\\ -7776=-6^n\implies 7776=6^n\implies 6^5=6^n\implies \boxed{5=n}[/tex]

Answer:

  5 terms

Step-by-step explanation:

The attached table shows that the sum of 5 terms is -4665.

__

Additional comment

A table for a problem like this is easily made using a spreadsheet. Each value is 6 times the previous, and each sum is the new value added to the previous sum. The first value and the first sum are -3.

In the attached, we have simply summed the terms, each term being computed using the explicit formula for this geometric sequence.

Answer:

Step-by-step explanation:

1. 4/1

2. 5/1

3. 1/8

4. 2/3

5. 3/4

6. 4/12 = 1/3, 8/12 = 2/3

7. 2/5, 3/5

Answer:

the answer is 42 can i have brainliest please:)

Step-by-step explanation:

3x7x2=42

Answer:

42

Step-by-step explanation:

Answer:

(2x + 1)(3x - 2)

Step-by-step explanation:

f(x) = 6x² - x - 2

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 2 = - 12 and sum = - 1

the factors are + 3 and - 4

use these factors to split the x- term

6x² + 3x - 4x - 2 ( factor the first/second and third/fourth terms )

= 3x(2x + 1) - 2(2x + 1) ← factor out (2x + 1) from each term

= (2x + 1)(3x - 2) , then

f(x) = (2x + 1)(3x - 2) ← in factored form

the model is using "t" as years after 2003, if we want to know the population in that country using that model at year 2003, then "t" must be 0, when t = 0, that's the initial population for that model.

[tex]A=920.2e^{0.005t}\implies A=920.2e^{0.005(0)}\implies A=920.2(1)\implies A=920.2[/tex]

Answer:

C is not true

Step-by-step explanation:

r is not larger than or equal to s

Answer:

b

Step-by-step explanation:

Repeating domain (x-values) does not represent a function.

Option b does not have any repeating domains.

Hope this helps!

Answer:

The answer is the third one.

Step-by-step explanation:

Hopefully this is helpful :)

Answer:

112x + 32y

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

      5x

Step-by-step explanation:

x and y are variables

1- Convert the expression

2- Simplify the expression

3- Calculate

cos 0 = 1/6

1 - cos²0 = sin²0

sin²0 = 35/36

in quadrant IV (4) the cos is positive sin is negative.

sin0 = - √35/6

[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

Let the cost of hamburgers and drinks be x and y

According to the question,

[tex]\sf{ 2x + 4y = 13.00 ...eq( 1 ) }[/tex]

[tex]\sf{ 3x + 7y = 21.00 ...eq(2) }[/tex]

Solving eq( 1 ) we get :-

[tex]\sf{ 2x + 4y = 13 }[/tex]

[tex]\sf{ 2x = 13 - 4y }[/tex]

[tex]\sf{ x = (13 - 4y)/2 ...eq(3)}[/tex]

Subsituting eq(3) in eq( 2 ) :-

[tex]\sf{ 3( 13 - 4y)/2 + 7y = 21 }[/tex]

[tex]\sf{ 39 - 12y/2 + 7y = 21 }[/tex]

[tex]\sf{ 39 - 12y + 14y = 42}[/tex]

[tex]\sf{ 2y = 42 - 39 }[/tex]

[tex]\sf{ 2y = 3 }[/tex]

[tex]\sf{ y = 3/2 }[/tex]

Subsituting value of y in eq(3) :-

[tex]\sf{ x = 13 - 4(3/2)/2}[/tex]

[tex]\sf{ x = 13 - 2(3)/2}[/tex]

[tex]\sf{ x = 13 - 6/2}[/tex]

[tex]\sf{ x = 7/2 }[/tex]

Therefore,

[tex]\sf{ Cost\: of \:8 \:drinks}[/tex]

[tex]\sf{ = 8 * 3/2 }[/tex]

[tex]\sf{ = 4 * 3 }[/tex]

[tex]\sf{ = 12.00 dollars}[/tex]

And

[tex]\sf{ Cost\: of \:9 \:hamburgers }[/tex]

[tex]\sf{ = 9 * 7/2 }[/tex]

[tex]\sf{ = 63/2}[/tex]

[tex]\sf{ = 31.50 dollars}[/tex]

Total cost of the 8 drinks and 9 hamburgers

[tex]\sf{ 12.00 + 31.50}[/tex]

[tex]\sf{\red { = 43.50 \:dollars}}[/tex]

Hence, The total cost paid by you for 8 drinks and 9 hamburgers is $43.50 .

Answer:

1st one is adjacent

2nd one is complementary

3rd one is adjacent

4th one is complementary

Answer:

Point Form:

(

8

3

,

−

5

3

)

Equation Form:

x

=

8

3

,

y

=

−

5

3

Answer:

x=4, y=-3, or (4,-3)

Step-by-step explanation:

Hi there!

We are given the following system of equations:
-2x+y=-11

4x+4y=4

And the problem wants us to solve it by substitution

In substitution, we will solve one of the equations for one of the variables to equal an expression containing the other variable, then substitute that expression as the variable it equals into the other equation, solve that equation, then use the value of the solved variable to solve for the first equation we made (the one that is a variable equaling an expression containing the other variable)

It's easier to do this when one of the variables already has a coefficient of 1, as we can just move a couple of terms around without having to multiply or divide anything; for example, in the first equation, -2x+y=-11, y already has a coefficient of 1

So we can just add 2x to both sides, in order to solve the equation for y

-2x+y=-11

+2x      +2x

______________

y=2x-11

Now substitute this expression into the the second equation as y.

So, 4x+4y=4 would become 4x+4(2x-11)=4

Now we need to solve 4x+4(2x-11)=4

Do the distributive property:

4x+8x-44=4

Combine like terms

12x-44=4

Add 44 to both sides

12x=48

x=4

We found the value of x

Now we need to find the value of y
Substitute 4 as x in y=2x-11

y=2(4)-11

Multiply

y=8-11

subtract

y=-3

The answer is x=4, y=-3, or as a point, (4, -3)
Hope this helps!
See more on solving systems by substitution here:
https://brainly.com/question/24420448

Answer:

200

Step-by-step explanation:

This problem is about linear equations. We assume Joe drive X miles, and the total cost is $Y, then we can get:

Plan I: Y=51.98+0.17X

Plan II: Y=59.98+0.13X

When both plans cost the same, 51.98+0.17X=59.98+0.13X. We will get X = 200

Answer:

B) 6.3 feet

Step-by-step explanation:

sin Θ = opp/hyp

sin 75° = h/6.5

h = 6.5 sin 75°

h = 6.3

Answer: B) 6.3 feet

Answer:

y = 14

Step-by-step explanation:

If the line is horizontal, it will always have the ssame value of y for all values of x.  Therefore, y = 14.

Answer:

0.66 cups of cranberry juice is needed to make 1 gallon of punch

Step-by-step explanation:

2 / 3 = 0.66

i hope this helped! have a wonderful rest of your day :)

Answer:

(a) d = 2.1     (b) a = 8.7

Step-by-step explanation:

[tex]d^{2}+d^{2} = 3^{2}[/tex]

[tex]2d^{2} = 9\\d = \sqrt[2]{9/2} = 2.1[/tex]

The hypotenuse = 5*2 = 10

[tex]5^{2} + a^{2} = 10^{2}\\a^{2} = 100 - 25 = 75\\a = \sqrt{75} = 8.7[/tex]

Answer: r=2.69. Calculate the radius of circle:Round the number: r=2.69Answer: r=2.69

Answer:

D

Step-by-step explanation:

y = 2x + 10 is the same thing as y = 2(x + 5) because 2 x x = 2x and 2 x 5 = 10

Simplify Option D

As everything is same

i.e

Hence infinitely many solutions are present