Mr. Majors ordered six hot dogs and a bucket of popcorn at the concession stand. If the popcorn
was $3.20, and the total was $18.20, what was the price of one hot dog?

Answer:

The measure of angle ∠PQS is 28.5°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half of the measure of this angle.

In our question

∵ Ray QS bisects ∠PQR  

→ That means it divides it into two angles PQS and SQR

∴ m∠PQS = m∠SQR = [tex]\frac{1}{2}[/tex] m∠PQR

∵ m∠PQR = 57°

→ Multiply its measure by  [tex]\frac{1}{2}[/tex] to find the measures its parts

∴ m∠PQS =  [tex]\frac{1}{2}[/tex] × 57°

∴ m∠PQS = 28.5°

∴ The measure of angle ∠PQS = 28.5°

Answer:

(2n+3)(2n+5)

Step-by-step explanation:

Answer:

[tex]it \: has \: a \: circular \: symmetry[/tex]

you're correct that, since Hugo is charging Johnny $2000, so the amount invested will be 98000.

[tex]~~~~~~ \stackrel{\textit{\Large Hugo}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$98000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases}[/tex]

[tex]A=98000\left(1+\frac{0.06}{4}\right)^{4\cdot 15}\implies A=98000(1.015)^{60}\implies A\approx 239435.54 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large Hector}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases} \\\\\\ A=100000\left(1+\frac{0.055}{12}\right)^{12\cdot 15}\implies A=100000\left( \frac{2411}{2400} \right)^{180}\implies A\approx 227758.38[/tex]

well, seems that even though Hugo is charging some Johnny, the returned amount is more than with Hector, so Johnny should give Hugo a call.

Answer:

4

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

write down the 12 times table

12 , 24, 36, 48, 60, 72, 84, 96, 108, 120

20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Now you can see that 60 is the multiple that comes up first in both of the times tables which means it is the lowest common factor.

Answer:

19.2

Step-by-step explanation:

Take note:

a = edge

v = volume

Equations for a Cube

[tex]v=a^{3}[/tex]

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

We are given V. Plug 7,077.888 into the second equation.

[tex]a=7077.888^{\frac{1}{3} }[/tex]

[tex]a=19.2[/tex]

Answer:

900 acres of wheat

1350 acres of corn

750 acres of oats

Step-by-step explanation:

3000 = 100%

÷ 10 both sides

300 = 10%

× 3

900 = 30%

300 = 10%

× 4

1200 = 40%

300 ÷ 2 = 150 (5%)

1200 + 150 = 1350

1350 + 900 = 2250

3000 - 2250 = 750

Step-by-step explanation:

We have that the vertices of triangle ABC are:

A(4, 2)

B(7, 9)

C(7, 2)

First, we are reflecting over the y axis, which makes (x,y) map onto (-x, y). This gives us:

A'(-4, 2)

B'(-7, 9)

C'(-7, 2)

Then, we translate 5 units down, meaning we subtract 5 from each of the y coordinates. This gives us a final answer of:

D(-4, -3)

E(-7, 4)

F(-7, -3)

Graph of a function is plotting of its input and corresponding output. The graph of the considered cubic function is attached below.

Suppose the considered function whose graph is to be made is [tex]f(x)[/tex]

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values [tex]f(x)[/tex]

are plotted on the vertical axis.

They are together plotted on the point

[tex](x,y) = (x, f(x))[/tex]

This is why we usually write the functions as:

[tex]y = f(x)[/tex]

For the considered function [tex]f(x) = x^3 +x^2 +x + 1[/tex] is attached below.

Learn more about graphing functions here:

https://brainly.com/question/10166124

Answer:

12 tiles

Step-by-step explanation:

1 yard = 3 feet, so 3*4 = 12, because it makes four yards in total with each side being a yard.

If the slope of the line is 7 /10, the vertical change that will be present for a horizontal change of 63 ft is 44.1 ft

The slope of a line is the measure of its steepness. Therefore,

slope = change in y(vertical) / change in x(horizontal)

slope = y₂ - y₁ / x₂ - x₁

slope = 7 / 10

Therefore,

7  / 10 = y / 63

cross multiply

441 = 10y

divide both sides by 10

y = 441 / 10

y = 44.1 ft

learn more on slope here: https://brainly.com/question/18555739

Answer:

Step-by-step explanation:

It’s 60 baka

Answer:

Delivery Trip: 3 hours

Return Trip: 4 hours

Step-by-step explanation:

d/60 + d/45 = 7

45d/2700 + 60d/2700 = 7

105d/2700 = 7

105d = 18900

d = 180

180/60 = 3

180/45 = 4

Answer:

delivering 180/45 = 4 hours and return trip 180/60 = 3 hours

Step-by-step explanation:

d = unknown number to calculate each trip

[tex]\frac{d}{45}[/tex] + [tex]\frac{d}{60}[/tex] = 7

find common denominator (45 * 60 = 2700)

([tex]\frac{60}{60}[/tex])*([tex]\frac{d}{45}[/tex]) +( [tex]\frac{45}{45}[/tex])*([tex]\frac{d}{60}[/tex]) =7

[tex]\frac{60d}{2700}[/tex] + [tex]\frac{45d}{2700}[/tex] =7

[tex]\frac{60d + 45d}{2700}[/tex] =7

[tex]\frac{105d}{2700}[/tex] = 7

105d = 7 * 2700

105d = 18,900

d = 18900/105

d = 180

delivering 180/45 = 4 hours

return trip 180/60 = 3 hours

Answer:

143 to the nearest Whole #

Step-by-step explanation:

100/0.70=142.59

Answer:

  π/6 ≈ 11/21 cubic units

Step-by-step explanation:

Use the given values in the formula for the volume of a sphere:

  V = 4/3πr³

  V = (4/3)(22/7)(1/2)³ = 4·22/(3·7·8) = 11/21 . . . . cubic units

We know,

[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

Here,

⠀

Substituting the values in the formula :

[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(\dfrac{1}{2} \bigg)}^{3} }}}[/tex]

[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{1}{8} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ \cancel4}{3} \times \dfrac{22}{7} \times \dfrac{1}{ \cancel8} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ 1}{3} \times \dfrac{22}{7} \times \dfrac{1}{ 2} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{3 \times 7 \times 2} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{42} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\bf Volume_{(Sphere)} = \dfrac{11}{21} }}}[/tex]

⠀

Therefore,

Answer:

x = -10

Step-by-step explanation:

1.4x = -7.9 -6.1

1.4x = -14

x = -14÷1.4

x= -10

Answer:

x = -10

Step-by-step explanation:

Answer:

it's one of this two. if it's exactly how you have written it , it's the first picture.

Answer:

12[tex]\sqrt{5}[/tex]x^5

Step-by-step explanation:

Apply exponent rule

Add the numbers

Multiply the numbers

Factor integer

Answer:

8(2c - d)

Step-by-step explanation:

16c - 8d ← factor out 8 from each term

= 8(2c - d)

Answer:

28

Step-by-step explanation:

Replace x with 3, and multiply the number next to it.

5(3)= 15

3(3)=9

so, 15-3+9+7=28

Answer:

28

Step-by-step explanation:

To solve this, replace every x with (3). If x is next to a number, that means you multiply that number and the value of x. This gives us the equation 5(3)-3+3(3)+7. When a set of parentheses are next to a number, you multiply. 5 times three is 15, and 3 times 3 is 9. This gives us 15-3+9+7. 15 - 3 is 12. 12 + 9 is 21. 21 + 7 is 28. 28 is your answer.

Answer:

-1

Step-by-step explanation:

I used a calculator :)

The answer is -1

Because if you do all the math you will find that the answer is -1.

Answer:

The percentage reduction is 7%

Answer:

option 2 = 48 cm ²

12 × 4 = 48

cm × cm = cm²

answer = 48 cm²

Answer:

12123

Step-by-step explanation:

Answer:

A.) -3.396

Step-by-step explanation:

On edg ;)

Answer:

-71 + 71 =0 so 0°

Step-by-step explanation:

I hate the fact that it needs to be 20 letters

Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals  106 cards all together

Step-by-step explanation:

STEP 1 :

Let x represent number of football cards

He has four times as many baseball cards as football cards, let baseball cards be = 4x

Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7

Step 2 :

Putting in equation we have that

Football cards + Baseball cards + Pokemon cards = 106 cards

Therefore,

x + 4x + 4x+7 = 106

9x + 7 = 106

9x = 106-7

9x = 99

x =99/9 = 11

therefore football cards , x = 11 football cards

 baseball cards = 4x = 4 x 11 = 44 baseball cards

Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards

Answer:

14^2

Step-by-step explanation:

i just plugged into calculator lol

Given expression:

                    14⁶   /   14⁴

   Using the exponent rule;

               [tex]\frac{x^{n} }{x^{m} }[/tex]   = [tex]x^{n-m}[/tex]

  So;

                 x  = 14

                 n = ⁶6

                  m = 4

So;

         [tex]\frac{14^{6} }{14^{4} }[/tex]  = 14⁶⁻⁴

                = 14²

Answer:

27 units

Step-by-step explanation:

let t represent time and n represent number of units

given t is directly proportional to n then the equation relating them is

t = kn ← k is the constant of proportion

to find k use the condition t = 22, n = 18 , then

22 = 18k ( divide both sides by 18 )

[tex]\frac{22}{18}[/tex] = [tex]\frac{11}{9}[/tex] = k

t = [tex]\frac{11}{9}[/tex] n ← equation of variation

when t = 33 , then

33 = [tex]\frac{11}{9}[/tex] n ( multiply both sides by 9 )

297 = 11n ( divide both sides by 11 )

27 = n

27 units are produced in 33 minutes

Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

(4a + 3)² = (a + 5)(a - 2)

16a² + 24a + 9 = a² + 3a - 10

15a² + 21a + 19 = 0

Answer:

it's 21/4

Step-by-step explanation:

on time 4 learning

p.s. stream sour by Olivia Rodrigo