Mr. Seidel filled up his 14-gallon gas tank for $44.26. What was the price per gallon of gas - to the nearest hundredth?

Solution :-

given that,

→ Cost of meal before tax = $ 40

and,

→ Tax = 8.5%

So,

→ Total tax paid = 8.5% of cost of meal = (40 * 8.5)/100 = $ 3.4

now,

→ Tip = 18% of cost of meal = (18 * 40)/100 = $ 7.2

then,

→ Total cost of the meal = Cost of meal before tax + Total tax paid + Tip = 40 + 3.4 + 7.2 = $50.6 ≈ $51 (Ans.)

Shortcut :-

→ Total cost of the meal = Cost of meal * (100% + 8.5% tax + 18% tip) = 40(1 + 0.085 + 0.18) = 40 * 1.265 = $50.6 ≈ $51 (Ans.)

Answer:

153 185-32 is 153 so there's your answer

Answer:

A, C, E

Step-by-step explanation:

The required relation whose constant of proportionality matches with the constant of proportionality given in the graph.

Given that,
A curve is shown in the graph, it is to be determined that the constant of proportionality of the curve matches one of the curves given in the options.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Here,
Constant of proportionality  for the given function,

y/x = 2 / 8 = 0.25

Since the constant of proportionality of the functions mentioned in Option A, C and E matched with the given graph.

Thus, the required relation whose constant of proportionality matches the constant of proportionality is given in the graph.

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Answer:

5 degrees

Step-by-step explanation:

This week in order:

65, 71, 73, 73, 73, 74, 75 (Median= 73)

Last week in order:

51, 62, 66, 68, 72, 72, 85 (Median= 68)

73-68 is 5

Answer:

5 degrees

Step-by-step explanation:

Answer:

$6.25

Step-by-step explanation:

Each football costs the same amount, and each basketball costs the same amount.

Let the cost of:

Footballs = f

Basketballs = b

Hence, we have the following system of equations

At the first store, the coach paid $110 for 5 footballs and 14 basketballs.

5f + 14b = 110

At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs.

10f + 6b = 82.50

What was the cost in dollars of each basketball?

5f + 14b = 110..... Equation 1

10f + 6b = 82.50.....Equation 2

We solve using Elimination method.

Multiply Equation 1 by 10 and Equation 2 by 5 to eliminate f

50f + 140b = 1100.... Equation 3

50f +30b = 412.5.......Equation 4

Subtract Equation 4 from Equation 3

110b = 687.5

b= 687.5/110

b = $6.25

Therefore, the cost of one basketball in dollars = $6.25

Answer:

38 degrees

Step-by-step explanation:

corresponding angles are equal

Note:

You missed adding the answer options.

But, I am solving the given expression to determine its equivalent so that you could get an idea and could easily determine all the options which would be equivalent to the result we would get.

Answer:

[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]

Step-by-step explanation:

Given the expression

[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m[/tex]

[tex]5^{\frac{1}{3}}\times \:25^{\frac{1}{3}}=\left(5\times \:25\right)^{\frac{1}{3}}[/tex]

               [tex]=125^{\frac{1}{3}}[/tex]

[tex]\mathrm{Factor\:the\:number:\:}\:125=5^3[/tex]

               [tex]=\left(5^3\right)^{\frac{1}{3}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}[/tex]

               [tex]=\left(5^3\right)^{\frac{1}{3}}=5^{3\times \frac{1}{3}}=5[/tex]

Thus,

[tex]5^{\frac{1}{3}}\:\times 25^{\frac{1}{3}}=5[/tex]

Answer:

B. 4.5

Step-by-step explanation:

108 divided by 2 = 54

54 feet into inches is 4.5

Answer: 2.52

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

By the segment addition postulate, LM+MN=LN.

[tex]x+3=2x-3 \\ \\ 3=x-3 \\ \\ x=6[/tex]

Answer: can u please clear the screen more? I will answer it just clear the screen please I can’t see it

Step-by-step explanation:

Answer:

Circle

Step-by-step explanation:

[tex]x dx=-y dy \\ \\ \int x \text{ } dx=\int -y \text{ } dy \\ \\ \frac{x^2}{2}=-\frac{y^2}{2}+C \\ \\ x^2=-y^2+C \\ \\ x^2+y^2=C[/tex]

Which is the equation of a circle.

Answer:

[tex]\displaystyle x=\frac{39}{10}[/tex]

The midpoint of a line bisects that line into two congruent line segments - otherwise speaking, they are equivalent to each other.

Due to this, we can set the equations equal and solve for x.

First, set the equations equal to one another.

[tex]17x = 7x + 39[/tex]

Subtract 7x from both sides of the equation to combine like terms.

[tex]17x - 7x = 7x - 7x + 39[/tex]

[tex]10x =39[/tex]

Then, divide both sides of the equation by 10 to isolate the variable.

[tex]\displaystyle \frac{10x}{10} = \frac{39}{10}[/tex]

[tex]\displaystyle x=\frac{39}{10}[/tex]

[tex]\displaystyle \boxed{\bold{x=\frac{39}{10}}}[/tex]

Answer:

y + x = 7

Step-by-step explanation:

Standard form should be

y - 9 = -(x+2)

y = -x -2 +9

y + x = 7

Answer:

y + x = 7

Step-by-step explanation:

hope that helps :)

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The capacity of thumb drive disc is 4 gigabytes and the capacity of compact disc is 2 gigabytes.

Let thumb drive = (x)

Let the capacity of 1 compact disk = (y).

Therefore, the appropriate equation will be:

4x + y = 18

4x + 3y = 22

Subtract the equations

2y = 4

y = 4/2

y = 2

The capacity of compact disc is 2 gigabytes.

Since 4x + y = 18

4x + 2 = 18

4x = 18 - 2

4x = 16

x = 16/4

x = 4

The capacity of thumb drive disc is 4 gigabytes.

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Answer:

4 LBS

Answer:

5x - 13y + 2

Step-by-step explanation:

Given: 2x – 4y + 6 + 3x – 9y – 4

Combine all like terms:

5x - 13y + 2

The solution of expression after simplification is,

⇒ 5x - 13y + 2

We have to given that,

An expression to simplify as,

⇒ 2x - 4y + 6 + 3x - 9y - 4

Now, We can simplify the expression by combining the like terms as,

⇒ 2x - 4y + 6 + 3x - 9y - 4

⇒ 2x + 3x - 4y - 9y + 6 - 4

⇒ 5x - 13y + 2

Therefore, The solution of expression after simplification is,

⇒ 5x - 13y + 2

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The coordinates of point S is (4, -15)

The given parameters are

T = (0, 5)

Midpoint = (2, -5)

The midpoint of a line is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

So, we have

(2, -5) = 1/2 * (0 + x, 5 + y)

This gives

(4, -10) = (x, 5 + y)

Solve for x and y

So, we have

x = 4

5 + y = -10

This gives

x = 4

y = -15

Hence, the coordinates of point S is (4, -15)

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Answer:

15 ft

Step-by-step explanation:

using geometry, we can find that the triangles are proportional, so if 8:24::5:15. 24/8=3, so do 5×3

Answer:

hope this helps

Step-by-step explanation:

Answer:

=−71/3

Step-by-step explanation:3

+

1

−

6

=

7

2

{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72

3x+1−6x=72

−

3

+

1

=

7

2

{\color{#c92786}{-3x}}+1=72

−3x+1=72

2

Subtract

1

1

1

from both sides of the equation

−

3

+

1

=

7

2

-3x+1=72

−3x+1=72

−

3

+

1

−

1

=

7

2

−

1

-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}

−3x+1−1=72−1

3

Simplify

Subtract the numbers

Subtract the numbers

−

3

=

7

1

-3x=71

−3x=71

4

Divide both sides of the equation by the same term

−

3

=

7

1

-3x=71

−3x=71

−

3

−

3

=

7

1

−

3

−3−3x​=−371​

5

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=−71/3

x=-\frac{71}{3}

x=−371​

Answer:

C

Step-by-step explanation:

Use SOHCAHTOA

to find h we will choose cos due to Adj is 8 and Hypotunse is h

cos 45 = 8/h

h= 8/cos 45

h = 11.3137

in surd form is 8root 2

USE A CALCULATOR TO CONFIRM FROM THE ANSWERS USING THE DECIMALS YOU GOT AS ANSWER

Answer:

1.) -10

2.) 10

3.) -27

4.) 27

5.) -8

6.) 8

Answer:

the equation to find the slope is (y2-y1)/(x2-x1)

the points are (-1,2) and (2,2) so plug it in and you get

(2-2)/(2-(-1))

0/ (2+1)

0/3

whenever the numerator is 0, that means the slope is 0. the line is just a horizontal line.

Answer:

first and third

Step-by-step explanation:

Consider

y = [tex]\frac{1}{2}[/tex] x + 3 ( multiply through by 2 )

2y = x + 6 ← third equation

Answer:

the first and last equation

Step-by-step explanation:

Answer:

effort and studying were her highest and lowest scores because studying look for the book many get complete

Answer:

e

Step-by-step explanation:

Answer:

you found the value of x, just put it in the equation