Kyle types college reports for $1.70 per page. He also charges $6 to cover the cost of supplies. How many pages did he write if he charged $40.00? Write and solve an equation.

Answer: 118 degrees

Step-by-step explanation:

By the exterior angle theorem.

3x + 12 + 2x + 16 = 6x + 10

5x + 28 = 6x + 10

x = 18

So measure of angle 3 = 6(18) + 10 = 118 degrees

Answer:

If 7.40 is the price of a pizza, we have to make sure that he spends less than $40 on large pizzas. if Diego buy 5 pizzas he would spend $37 and would not have enough to afford another large pizza, meaning that he can buy 5 large pizzas

Answer:

Step-by-step explanation:

By using the Pythagorean theorem:

b^2+3^2=5^2
b^2+9=25

b=sqrt (25-9)

b=sqrt(16)

b=4

=> 4^2+7^2=c^2
16+49=c^2
65=c^2
=>c=sqrt(65)

c = (approximately) 8

Step-by-step explanation:

Substitute f(-10) into the function:

[tex]f(-10)=\frac{9}{4(-10)}[/tex]

Multiply:

[tex]f(-10)=\frac{9}{(-40)}[/tex]

Simplify:

[tex]f(-10)=-0.225[/tex]

Answer:

  x ∈ {0, π, 2π}

Step-by-step explanation:

The expression can be simplified, which facilitates an answer.

  tan(x -π) -cos(x -3π/2) = 0

The tangent function has a period of π, so tan(x-π) = tan(x). The cosine function shifted right by 3π/2 is equivalent to the opposite of the sine function.

  tan(x) +sin(x) = 0 . . . . substitute simpler equivalents

  sin(x)/cos(x) +sin(x) = 0 . . . . use equivalent for tan(x)

  sin(x)(1/cos(x) +1) = 0 . . . . factor out sin(x)

  sin(x)(cos(x)+1)/cos(x) . . . . . combine terms to a single fraction

This has solutions where sin(x) = 0 and where cos(x) = -1. Those solutions are integer multiples of π.

  x ∈ {0, π, 2π}

Answer:

B

Step-by-step explanation:

Answer:

20 ft

Step-by-step explanation:

Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.

ZY=(24⋅12) in.

Simplify.

ZY=288 in.

RH=(4⋅12) in.+2 in.

Simplify.

RH=50 in.

RQ=(5⋅12) in.

Simplify.

RQ=60 in.

ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground

are congruent: ∠Z≅∠Q.  

∠Y≅∠R by the Right Angle Congruence Theorem.

Therefore, by the Angle-Angle Similarity △ZXY~△QHR.

Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tower).

ZYQR=XYHR

Substitute the values.

28860=h50

Cross multiply.

60h=50(288)

Simplify.

60h=14400

Divide both sides by 60.

h=240

The height of the tower is 240 in., or 20 ft.

Answer:

The fraction, or the one on the right is larger by just a few decimals.

Step-by-step explanation:

Have an amazing day :D

Answer :

22 Cubic Units Enjoy.

◊ YusuCr ◊

Answer:

-17x+10y=3

Step-by-step explanation:

Standard form is:

Ax+By=C

Let's start by simplifying the equation:

4y-5x=3(4x-2y+1)

Distribute the 3:

4y-5x=3(4x)+3(-2y)+3(1)

4y-5x=12x-6y+3

Subtract 12x from both sides

4y-17x=-6y+3

Add 6y to both sides

10y-17x=3

-17x+10y=3

Answer:

1792

Step-by-step explanation:

14(a^2 ab)

a=4      b=2

=14(4^2*4*2)

=14(16*8)

=14*128

1792

Percentage is a way to describe a part of a whole. French government gathers €85,930,190,677 more than the German government.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

We know that the number of people who are working in France is 31,491,232 and their average salary is €29,766 while the amount of tax they pay from their salary is 69.3%. therefore, the total amount of tax that France will gather,

[tex]Tax_{France} = 31,491,232 \times 29,766 \times 69. 3\%[/tex]

               [tex]= 31,491,232 \times 29,766 \times \dfrac{69. 3}{100}\\\\= 31,491,232 \times 29,766 \times 0.693\\\\=6.49596\times 10^{11}[/tex]

Now, the population that is working in Germany is 38,844,017 while the average earning of the population is €32,104 and they pay 45.2% of their salary as tax. therefore,

[tex]Tax_{Germany} = 38,844,017 \times 32,104 \times 45.2\%[/tex]

                   [tex]= 38,844,017 \times 32,104 \times 45.2\%\\\\= 38,844,017 \times 32,104 \times \dfrac{45.2}{100}\\\\= 38,844,017 \times 32,104 \times 0.452\\\\=5.63666 \times 10^{11}[/tex]

Further, the difference between the tax of the two countries can be written as,

[tex]\text{Differene in the tax}= Tax_{France} - Tax_{Germany} = 85,930,190,677[/tex]

hence, the French government gathers €85,930,190,677 more than the German government.

Learn more about Percentage:

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Answer:

Based on the information in the table, how do the annual tax revenues of Germany and France compare to one another?

b. }   The French government gathers €543,141,128,984 more than the German government.

c. }   The German government gathers €309,680,310,056 more than the French government.

d.}   The German government gathers €223,750,119,378 more than the French government.

Step-by-step explanation:

Correct on Edge 2022

Answer: The Philadelphia Eagles tried to blow a 19-point lead to the Chicago Bears, but managed to hold on for a 22-14 victory in a rematch of the NFC Wild Card Game to move to 5-4 on the year. Philadelphia allowed the Bears to score 14 unanswered points after taking a 19-0 lead in the third quarter, but put together one of their most impressive drives of the season in taking 8:14 off the clock in the fourth quarter, converting four consecutive third downs in the most critical junction of the game.

Chicago never got the ball back after Jake Elliott hit a 38-yard field goal with 26 seconds left to make it 22-14. Bears tight end Adam Shaheen muffed the catch on the kickoff and the Eagles recovered to deny Chicago a last ditch effort for a Hail Mary and an attempt to tie the game with a two-point conversion.

Jordan Howard scored a touchdown in his first game against his former team, finishing with 19 carries for 82 yards and a touchdown. Zach Ertz had his best game of the season as the Eagles tight end had nine catches for 103 yards and a touchdown, a 25-yard catch for his second score of 2019.

The Bears had just nine total yards in the first half, but rallied back in this game with two scoring drives in three possessions between the third and fourth quarter. Chicago's offense had no turnovers, but finished with just 164 yards of offense. Mitchell Trubisky went 10 of 21 for 125 yards with no touchdowns and a 66.6 passer rating. The Bears have lost their fourth consecutive game after a 3-1 start to the season, falling to 3-5 and remaining in last place in the NFC North.

Step-by-step explanation:

The number of points scored by the eagles is 19 points.

Suppose the points scored by the bears, eagles, and cowboys are x, x+2, x+4 respectively.

It is given the product of the points scored by the bears and cowboys was 37 more than the 8 times the sum of the points scored by the eagles and cowboys.

This means, x(x+4) =37+8(x+2+x+4)

x(x+4) =37+8(2x+6)

[tex]x^{2} +4x = 37+16x+48[/tex]

[tex]x^{2} -12x-85=0[/tex], which is a quadratic equation.

Any equation in the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].

[tex]x^{2} -17x+5x-85=0[/tex]

[tex]x(x-17)+5(x-17)=0[/tex]

[tex](x-17)(x+5)=0[/tex]

[tex]x=17[/tex]

So, eagles scored x+2 = 17+2 =19 points.

Therefore, The number of points scored by the eagles is 19 points.

To get more about quadratic equations visit:

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Answer:

[tex]f(10) \: is \: \: - 183[/tex]

Step-by-step explanation:

[tex]f(x) = { - 2x}^{2} + 17[/tex]

Find f(10) ?

[tex]f(x) = { - 2x}^{2} + 17[/tex]

Substitute x = 10

[tex]f(10) = - 2 {(10)}^{2} + 17[/tex]

[tex] f(10) = - 2(100) + 17[/tex]

[tex]f(10) = - 200 + 17[/tex]

[tex] \boxed{f(10) = - 183}[/tex]

Answer:

Step-by-step explanation:

Given equation:

Convert this to standard form by completing the square:

The center is (- 4, 2) and the radius is √27

Answer:

190mm2

Step-by-step explanation:

8x6=48

8x7=56

8x7=56

6x5/2=15

6x5/2=15

48+56+56+15+15=190

Answer:

(x-3)/9

Step-by-step explanation:

STEP

1

:

           -x

Simplify   ——

           3

Equation at the end of step

1

:

 (3 - x)   -x

 ——————— • ——

   3x      3

STEP

2

:

           3 - x

Simplify   —————

            3x  

Equation at the end of step

2

:

 (3 - x)   -x

 ——————— • ——

   3x      3

STEP

3

:

Canceling Out :

3.1    Canceling out x as it appears on both sides of the fraction line

Final result :

 x - 3

 —————

   9  

hope this helps!!

Answer:

The answer is B.

3x + 5y = 24

4x + 3y = 21

Step-by-step explanation:

x = cost of a chocolate chip cookie

y = cost of an oatmeal cookie

3x + 5y = 24

4x + 3y = 21

Lets solve:

-3(3x + 5y = 24) ==> -9x - 15y = -72

5(4x + 3y = 21) ==>   20x + 15y = 105

Let's add our new equations:

-9x - 15y = -72

20x + 15y = 105

11x = 33

/11    /11

x = $3.00 (the cost of each chocolate chip cookie)

Now lets find the cost of each oatmeal cookie using one of our original equations: 3x + 5y = 24

3(3) + 5y = 24

9 + 5y = 24

-9          -9

5y = 15

/5     /5

y = $3 (the cost of each oatmeal cookie)

Each type of cookie (chocolate chip and oatmeal), costs $3.00

Hope that helps!

Answer:

0, 1, 2, 3

Step-by-step explanation:

-1 < x < 4 means that x has to be an integer (whole number aka no fractions)  between -1 and 4. Note that the < and > means that x cannot be -1 or 4 since it has to be greater than -1, or smaller than 4.

The expression "x -16.5" is expressed as "x less 16.5". Option B shows the correct expression.

The expression is defined as a set of terms combined using the operations addition, subtraction, multiplication, or division.

The given expression is [tex]x - 16.5[/tex].

The expression shows that 16.5 is subtracted from x. The resulting value is 16.5 less than x.

If the expression is expressed in words, it would be "x minus 16.5" or "x is reduced by 16.5"

Hence we can conclude that the expression "x -16.5" is expressed as "x less 16.5". Option B shows the correct expression.

To know more about the expression, follow the link given below.

brainly.com/question/13947055.

The volume of the cylinder depends on its radius and height. The volume of the cylinder is 141.3 m3.

The volume of the cylinder is defined as the density of the cylinder which measures the amount of material contained by the cylinder.

Given that the height h of the cylinder is 5m and the diameter d of the base of the cylinder is 6m.

The radius of the cylinder is given below.

[tex]r = \dfrac {d}{2}[/tex]

[tex]r= \dfrac {6}{2}[/tex]

[tex]r = 3\;\rm m[/tex]

The volume of the cylinder is calculated as given below.

[tex]V = \pi r^2 h[/tex]

[tex]V = 3.14 \times 3^2 \times 5[/tex]

[tex]V = 141.3 \;\rm m^3[/tex]

Hence we can conclude that the volume of the cylinder is 141.3 m3.

To know more about the volume of the cylinder, follow the link given below.

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Answer:

Your answer would be 25.

Answer:

The first part of the course is 34 miles

Step-by-step explanation:

If you get 34 miles into a 102 miles bike race, you still have 68 miles left, which is double 34

Answer:

34

Step-by-step explanation:

34 + 68 =102

34×2 =102 so 34 is the answer.

Answer:

8 pieces

Step-by-step explanation:

Answer:

42.6%

Step-by-step explanation:

The percent increase is calculated as

percent increase = [tex]\frac{increase}{original}[/tex] × 100%

increase = $3.55 - $2.49 = $1.06

% increase = [tex]\frac{1.06}{2.49}[/tex] × 100% ≈ 42.6% (to the nearest tenth )

Answer:

a) $60

b) 60 + 6(22) = 132 + 60 = $192

c) 60 + 6(30) + 9(8) = 240 + 72 = $312

Answer:

negative.

Step-by-step explanation:

rules of multiplying intergers;

- * - = +

+ * + = +

- * + = - (-2) x 3 follows this rule)

+ * - = -