At a local movie theatre, sodas cost$4.50 and bags of popcorn cost &1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. Write a system of equations and solve it using any method to determine how many of each item Kirk bought.

Answer:

Profit of $110

Step-by-step explanation:

$710-$600=$110

Answer:

2/7÷3/4=2/7×4/3=8/21

[tex] \rm \ \blue{ \overbrace{ \underbrace{ \tt \color{hotpink} \: \: \: \: \: \: \: \: \: \: answer \: \: \: \: \: \: \: \: \: }}}[/tex]

[tex]\large \color{pink} \frac{8}{21} [/tex]

Step-by-step explanation:

[tex] \huge \color{brown} \frac{2}{7} \div \frac{3}{4} [/tex]

[tex] \large \color{hotpink} \frac{2}{7} \div \frac{4}{3} [/tex]

[tex] \huge \color{darkblue} \frac{8}{21} [/tex]

Answer:

[tex] {84mm}^{2} [/tex]

Step-by-step explanation:

Area of square= l×l

Area of square= 6mm × 6mn

Area if square = 36 mm²

Area of triangle 1= ½b ×h

Area of triangle 1= ½ (6mm)(8mm)

Area of triangle 1 = 24 mm²

Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight

: . area of triangles is 48mm²

Area of the figure= Area of square + Area of triangles

A of figure = 36+48

A of figure = 84 mm²

Option 2

Use trapezium formula

Area of trapezium= (a+b)/2 * h

a=6 mm (base)

b=8+6=14 mm (Base)

h= 6mm (height)

[tex]area \: of \: trapezium = ( \frac{6 + 14}{2} )(6) \\ = 60mm ^{2} [/tex]

Therefore the area of triangle= 24mm² as calculated in option 1

Area of the figure= Area of trapezium +Area of triangle

Area of figure = 60+24

= 84 mm²

Answer:

B

Step-by-step explanation:

It would take 70 years for the deer population to reach 800.

An exponential function is in the form:

y = abˣ

where b is the multiplier, y, x are variables and a is the initial value.

Let y represent the population and x represent the time in years.

a = 200, b = 100% + 2% = 102% = 1.02

y = 200(1.02)ˣ

For a population of 800:

800 = 200(1.02)ˣ

ln(4) = xln(1.02)

x = 70 years

It would take 70 years for the deer population to reach 800.

Find out more on exponential function at: brainly.com/question/2456547

Answer: 200, 0.02, and 800

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

The months whose names end in 'y' include Jan, Feb, May, Jul.  The probability of randomly selecting a month whose name ends in 'y' is 4/12 (remember that there are 12 months in a year), or 1/3.

Thus, the probability of selecting a month whose name does NOT end in 'y' is 8/12, or 2/3.  Note that this event is the 'complement' of the first event:  

P(name does not end in 'y') = 1 - P(name does not end in 'y') = 1 - 1/3 = 2/3

Answer:

11.8125 cups of flour

Step-by-step explanation:

4 dozen = 48 cookies

126/48=2.625 batches of 48 cookies

2.625 x 4.5 = 11.8125 cups of flour

Answer: √490  

Step-by-step explanation:

Answer:

just move the decimal to the right two place, for two zeroes. The answer is 1490.

Step-by-step explanation: Just simply multiply 14.9 by 100.

Answer:

1490.Step-by-step explanation:multiply 14.9 by 100

Answer:

LCM is [tex]72[/tex]

GCF is [tex]1[/tex]

Step-by-step explanation:

LCM is least common multiplier

LCM of

[tex]8,9=8\times 9\\\\=72[/tex]

GCF is greatest common factor

Factors of [tex]8=1,2,4,8[/tex]

Factors of [tex]9=1,3,9[/tex]

Greatest common factor is [tex]1[/tex]

GCF is [tex]1[/tex]

Answer:

:)))))

Step-by-step explanation:

<3

Answer:

6 meters

Step-by-step explanation:

Every 7 floors, it goes up by 22.4 meter intervals.

Let's count down,

the 7th floor would be 50.8 - 22.4, which is 28.4.

the 0th floor would be 28.4 - 22.4, which is 6.

Answer:

6

Step-by-step explanation:

Step-by-step explanation:

C = 2πr = 2 x π x 6 = 37.69911

Answer:

(-1, 2), (0,3), (1,4)

slope= 1

y-intercept= (0,3)

Step-by-step explanation:

Answer:

solution

Step-by-step explanation: total=209.75

Answer: (if your asking for the unit rate of that)

the unit rate is 1.10

Answer:

1.10

Step-by-step explanation:

2 /2 = 1

20/ 2 = 10

1.10 is the unit rate

Two supplementary angles equal 180 degrees

Subtract the difference from 180:

180-157.2 = 22.8

Divide by 2:

22.8 /2 = 11.4

One angle is 11.4

Now add the difference to 11.4

11.4 + 157.2 = 168.6

The second angle is 168.6

Answer: 11.4 and 168.6

Answer: 5.15 x 10^2

Step-by-step explanation:

3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2

The solution to the simplification of the algebraic expressions are;

A) 5p³q + 5pq³ + 5p²q

B) 14pqr² - 7p²qr

C) 20x² - 15xy - 16ax + 12ay

A) We have the expression;

5pq(p² + q² + pq)

Multiplying out using the concept of distributive property, we have;

(5pq × p²) + (5pq × q²) + (5pq × pq)

>> 5p³q + 5pq³ + 5p²q

B) We have the expression;

-7pr(pq – qr - rq)

Multiplying out using the concept of distributive property, we have;

-7p²qr + 7pqr² + 7pqr²

>> 14pqr² - 7p²qr

C) (4x - 3y)(5x - 4a)

By quadratic expansion, we have;

(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)

>> 20x² - 15xy - 16ax + 12ay

Read more about simplification of algebra at; https://brainly.com/question/4344214

Answer:

Using the number 4 as a place holder I think it would be 20 days before she has both chores on the same day

Answer:

Step-by-step explanation:

would help a lot if you show the picture or describe it very well.

Answer:

=8+2(5-x)

=8+10-2x

=18-2x

Answer:

hey am

I think that's be the answer

if you think it's not right

don't write

Answer:

false.

Step-by-step explanation:

Factors for 21: 1, 3, 7, and 21. Factors for 22: 1, 2, 11, and 22.

Answer:

B false

hello hope this helps

Answer:

The dots have a weak positive correlation.

Step-by-step explanation:

The values on the graph, or dots, are generally going upwards, meaning they are positive. If they were generally going downwards, or from the top left to bottom right, they would be negative.

The values are not tightly packed together. If they were, they would have a strong positive correlation. Instead, they are loosely around each other. But because they are not completely random all over the graph, the correlation is weak.

Hence, the values on the graph have a weak and positive correlation.

Answer:

34 miles

Step-by-step explanation:

jn

Answer:

z = 20

Step-by-step explanation:

subtract 19z from 20z, and add 8 to 12. you will be left with 20 = 1z. Divide 1 by 20 and you will have Xz =20.

I hope this helps!

Answer:

i think it's 1.8.

Step-by-step explanation:

why? bc if u add 6/20 + 1.5 = 1.8

i think it's 1.8, im not sure, hopefully it's correct!!

Answer:

1.8

Step-by-step explanation:

you just simplify -6/20 into a decimal and you get .3 then you add it to 1.5.

Answer:

f(3) = 2

Step-by-step explanation:

f(3) = 2(3) - 4

f(3) = 2