David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos
cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of
$78.50 and sold a total of 87 nachos and sodas combined. Which system of equations
represents this situation?

Answer:

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Answer:

x = 1

$990

Step-by-step explanation:

First you want to write the linear equations for both scenarios

in the first scenario hotel:

y = 86x + 904 where x = # of people, y = total cost

in the second scenario restaurant:

y= 89x + 901

now you want to set them equal to each other since you want to know how many people (x) will be needed to make total costs equal.

86x + 904 = 89x + 901

subtract 86x on both sides to move all x terms on the right

904 = 3x + 901

subtract 901 on both sides to move numbers to the left

3 = 3x

divide both sides by 3

1 = x or x=1

So it would take 1 attendee.

Now plug in x=1 into either equation to find the total cost that is the same.

y = 86(1) + 904

= 86 + 904

= $990

please give thanks by clicking heart :)

Answer:

the total mass is 212.5 kg

Step-by-step explanation:

The computation of the total mass is as follows;

Given that

Number of family members = 5

And, the average mass is 42.5 kg

Now based on the above information

The total mass is

= Number of family members × average mass

= 5 × 42.5 kg

= 212.5 kg

Hence, the total mass is 212.5 kg

Answer:

£3591

Step-by-step explanation:

Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.

The formula for Depreciation rate =

P = Po × e^-rt

P = Amount after depreciation

Po = Initial amount = £ 3600

r = depreciation rate = 5% = 0.05

t = time in years = 2

Hence:

P = £3600 × e ^ -0.05 × 2

P =£ 3600 × e-0.0025

P = £ 3591.0112406

Approximately = £3591

Answer:

part.a  11.75

part.b 1.50

part.c 10.25

Step-by-step explanation

first you do is add your original prices first

then you go back to your percentages and sense the ground beef doesn't have a coupon off its the original price for that

and your coupons added up deduct from the price and 10.25 is your new answer

Step-by-step explanation:

x-3/4=5 1/6

(4x-3)/4=31/6

(4x-3)/2=31/3

12x-9=62

12x=71

X=71/12

Answer:

Yes

Step-by-step explanation:

Have a nice day

Answer: year 5

Step-by-step explanation:

t=-5

y=1200*2^t

y=1200*2^-5

y=37.5

Answer:

x ≤ 2

Step-by-step explanation:

If you referencing ">=" as greater than or equal to, follow the solution below:

Solve:

3x - 6 + 2 ≥ 5x - 8

Combine like terms.

3x - 4 ≥ 5x - 8

Subtract 5x from both sides.

-2x - 4 ≥ -8

Add 4 to both sides.

-2x ≥ -4

Divide both sides by -2, while flipping the inequality as well since you're dividing by a negative number.

x ≤ 2

Your answer would be x ≤ 2

Answer:

24

Step-by-step explanation:

Can i have brainliest

Answer:

$221.1

Step-by-step explanation:

Divide 73.70 by 5 pounds so that you can get the price of 1 pound beef

After diving the price for one pound of beef is $14.74.

Now, you have the price of 1 pound beef, you can just multiply it with 15 pounds.

15 x 14.74 = 221.1

Answer:

$221.1

Step-by-step explanation:

you multiplie it buy 5

Answer:

a. 19 b. -53

Step-by-step explanation:

I did it mentally, but you plug those x values into the equation.

Given that,

No of cups of Apple juice = 10

No of cups of Orange juice = 16

Solution,

The ratio of Apple juice to the Orange juice will be :

[tex]R=\dfrac{10}{16}[/tex] ....(1)

For equivalent fraction, multiply both numerator and denominator by 2 such that,

[tex]R=\dfrac{10\times 2}{16\times 2}\\\\=\dfrac{20}{32}[/tex]

Dividing both numerator and denominator 2 such that,

[tex]R=\dfrac{10/2}{16/2}\\\\=\dfrac{5}{8}[/tex]

So, the required ratio is 5/8.

Answer:

30 adult tickets and 24 kid tickets

Step-by-step explanation:

set up equations

x=adult tickets

y=kid tickets

x(adult tickets)+y(kid tickets)=54(people in total)

x+y=54

$8x+$5y=$360

$8 per ticket for adults

$5 per ticket for kids

total of $360 earned

8x+5y=360

↓

x+y=54

8x+5y=360

solve by elimination or substitution or even graph to get

(x,y)=(30,24)

x=30

y=24

Answer:

3/8

Step-by-step explanation:

Answer:

C: 3/8

Step-by-step explanation:

edg2021

There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8

Answer:

in my opinion you should wear black velvet skinny jeans with oversized rose top and lightly curled hair

Step-by-step explanation:

that is in my opinion

Answer:

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.

Answer: 1,2,5

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

The second one because if you compare 12+6=18 to 14 the better buy is the second one because 14 is less than 18

Answer:

[tex] P= 6 \frac{1}{7}\\\\

Q = 4 \frac{2}{7}[/tex]

Step-by-step Explanation

[tex] \frac{5 + 3 \sqrt{2} }{5 - 3 \sqrt{2} } = P+Q\sqrt 2 \\ \\ \frac{(5 + 3 \sqrt{2}) }{(5 - 3 \sqrt{2}) } \times \frac{(5 + 3 \sqrt{2}) }{(5 + 3 \sqrt{2} )} = P+Q\sqrt 2 \\ \\ \frac{ {(5 + 3 \sqrt{2} )}^{2} }{ {(5)}^{2} - (3 \sqrt{2})^{2} } = P+Q\sqrt 2 \\ \\ \frac{ {5}^{2} + {(3 \sqrt{2} )^{2} + 2.5.3 \sqrt{2} } }{25 - 9 \times 2} = P+Q\sqrt 2 \\ \\\frac{ 25 + 18 + 30 \sqrt{2} }{25 - 18} = P+Q\sqrt 2 \\ \\\frac{ 43 + 30 \sqrt{2} }{7} = P+Q\sqrt 2 \\ \\ \frac{43}{7} + \frac{30 }{7} \sqrt{2} = P+Q\sqrt 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ P = \frac{43}{7} \\ \\ \huge \red { \boxed{ P= 6 \frac{1}{7}}} \\ \\ Q = \frac{30}{7} \\ \\ \huge \orange { \boxed{ Q = 4 \frac{2}{7} }}[/tex]

Answer:

(-6, 6)

Step-by-step explanation:

The coordinates of B to start with is

(-2, 2)

To dilate this by a factor of 3....

-2 * 3 = -6

2 * 3 = 6

The new coordinates of B' would be

(-6, 6)

A few things to know:

- The number 3 is called a "scale factor"

- Dilation means we are multiplying all the (X, Y)'s by the scale factor

- If the scale factor is greater than 1, the size of the shape overall increases

- If the scale factor is less than 1, the size of the shape overall decreases

- If the scale factor is negative, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.

Answer:

-9,-1

Step-by-step explanation:

this is for A

I was looking for it so here you go

you multiply your x and Y by 2

hope this helps :))

Answer:

x = 12

Step-by-step explanation:

Let the number be x.

9 added to twice a number is the same as 27 reduced by 4 times the number

If we add 9 to the number = (9+x)

If 27 reduced by 4 times the number = (4x-27)

ATQ,

(9+x) = (4x-27)

Taking like terms together,

x-4x = -27-9

-3x = -36

x = 12

Hence, the number be 12.

Answer: Okay, the answer is [tex]2\sqrt{5}[/tex], the decimal form is 4.4, please mark me as brainliest! :)

Step-by-step explanation: You'll need to pull terms out from under the radical, assuming positive real numbers. I hope you using Math-way to simplify the square root expression correctly to find this helpful for you, have a wonderful day! :D

Answer:

6 adults

Step-by-step explanation:

72/24= 3 and 3*2=6 adults

Answer:

there are 6 adults

Step-by-step explanation:

24x3=72

2x3=6

Have a great day!

Answer:

[tex]x = - 1 \\ y = - 5 \\ m = - 6 \\ z = 3 \\ q = 0 \\ n = - 2 \\ w = - 1 \\ k = - 2[/tex]

Step-by-step explanation:

I just showed my work process in the pictures.

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

Step-by-step explanation:

She switched the divisor and the dividend when creating an equation to model the problem in step 1.

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

She multiplied the two numerators and the two denominators to generate her product in step 3.

She reduced the improper fraction incorrectly when getting her final answer.

5/16 = 1/3h

Correct steps

Step 1:

h = 5/16 ÷ 1/3

Step 2:

h = 5/16 × 3/1

Step 3:

h = (5*3) / (16*1)

= 15/16

h = 15/16

Incorrect steps:

Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h

5/16 ÷ 1/3 = h

Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h

16/5 × 3/1 = h

Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h

48/5 = h

9 3/5 = h

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2  

Step-by-step explanation:

please give me brain list, please

Answer:

Step-by-step explanation:

A + B + C = 180

x + x - 24 + 68 = 180

2x - 24 + 68 = 180

2x + 44 = 180

2x = 180 - 44

2x = 136

x = 68

A = 68

B = 44

C = 68