three orders are placed at a pizza shop.
two small pizzas, a liter of soda, and a salad costs $14.
one small pizza, a liter of soda, and three salads costs $15.
three small pizzas, a liter of soda, and two salads costs $22.
how much does each item cost?

Answers

Answer 1

Given:

Two small pizzas, a liter of soda, and a salad costs $14.

One small pizza, a liter of soda, and three salads costs $15.

Three small pizzas, a liter of soda, and two salads costs $22.

To find:

The cost of each item.

Solution:

Let x be the cost of a small pizza.

y be the cost of a liter of soda

z be the cost of a salad.

According to the question, two small pizzas, a liter of soda, and a salad costs $14.

[tex]2x+y+z=14[/tex]           ...(i)

One small pizza, a liter of soda, and three salads costs $15.

[tex]x+y+3z=15[/tex]         ...(ii)

Three small pizzas, a liter of soda, and two salads costs $22.

[tex]3x+y+2z=22[/tex]      ...(iii)

From (i), we get

[tex]z=14-2x-y[/tex]        ...(iv)

Putting [tex]z=14-2x-y[/tex] in (ii), we get

[tex]x+y+3(14-2x-y)=15[/tex]

[tex]x+y+42-6x-3y=15[/tex]

[tex]-5x-2y=15-42[/tex]

[tex]-(5x+2y)=-27[/tex]

[tex]5x+2y=27[/tex]            ...(v)

Putting [tex]z=14-2x-y[/tex] in (iii), we get

[tex]3x+y+2(14-2x-y)=22[/tex]

[tex]3x+y+28-4x-2y=22[/tex]

[tex]-x-y=22-28[/tex]

[tex]-(x+y)=-6[/tex]

[tex]x+y=6[/tex]

Multiply both sides by 2.

[tex]2x+2y=12[/tex]    ..(vi)

Subtracting (vi) from (v), we get

[tex]5x+2y-2x-2y=27-12[/tex]

[tex]3x=15[/tex]

[tex]x=5[/tex]

Putting x=5 in (vi), we get

[tex]2(5)+2y=12[/tex]

[tex]10+2y=12[/tex]

[tex]2y=12-10[/tex]

[tex]2y=2[/tex]

[tex]y=1[/tex]

Putting x=5 and y=1 in (iv), we get

[tex]z=14-2(5)-(1)[/tex]

[tex]z=14-10-1[/tex]

[tex]z=3[/tex]

So, [tex]x=5,y=1,z=3[/tex].

Therefore, the cost of a pizza is $5, cost of a liter of soda is $1 and cost of salad is $3.


Related Questions

Can anyone solve this? If so tell me and make sure u know what ur doing please

Answers

Answer:

-2

Step-by-step explanation:

To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be using the points (-3, 2) and (-1, -2).

[tex]\frac{rise}{run}[/tex] = [tex]\frac{-2-2}{-1-(-3)}[/tex]

     = [tex]\frac{-2-2}{-1+3}[/tex]

     = [tex]\frac{-4}{2}[/tex]

     = -2

A wizard-in-training has 300 grams of 20% liquid-gold solution. He wishes to drain some and replace it with an 80% solution, so that he gets 300 grams of 35% solution. How many grams should the wizard drain and replace with 80% solution?

Answers

Answer:

it would take 4 grams. I hope this helps

Answer:

75 grams! hope this helps :3

Find the greatest common factor of 6 and 35

Answers

Answer:

6

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

in a cookie recipe 1 and 2/3 cups milk makes 16 cookies. How many cups of needed to make 24 cookies

Answers

Answer:

2 1/2 or 5/2 cups of milk

Step-by-step explanation:

if 16 cookies are made from 1 2/3 cups of milk which equals 5/3 cups of milk that means that you need 5/2 or 2 1/2 cups of milk to make 24 cookies because you need to multiply 5/3 by 16 and then multiply 5/48 by 24 which is 5/2 or 2 1/2 cups of milk

There is a proportional relationship between time in hours and time in days.

A. What is the constant of proportionality?

B. what equation describes this relationship?

Answers

Of the proportional relationship between time in hours and time in days, we have that:

a) The constant of proportionality is 24.

b) The equation is [tex]h = 24d[/tex].

What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

Item a:

A day has 24 hours, hence the constant of proportionality is 24.

Item b:

Considering the time in hours as the output and the time in days as the input, the equation is:

[tex]h = 24d[/tex]

You can learn more about proportional relationships at https://brainly.com/question/25815502


The point (-3, 8) is translated using the rule (x + 5, y - 7). The new point is (____).
O (2, 1)
O (8,1)
O (-2, 15)
0 (-8, 1)

Answers

Answer:

(2, 1)

Step-by-step explanation:

You add 5 to the x coordinate, which is -3 and you get 2. Then add -7 to the y coordinate, which is 8 and get 1

Answer:

(2, 1)

Step-by-step explanation:

(x + 5, y - 7), (-3, 8)

(- 3 + 5, 8 - 7) = (2 + 1)

Thus, The new point is (2 + 1).

-TheUnknownScientist

A card is randomly selected out of a standard 52 deck of cards. What is the probability of selecting a queen or a
heart?
Leave your answer as a fraction in lowest terms

Answers

Hello,

Answer: 1/52 (Queen) 1/52 (Heart)

Further explaining: A 52 deck of cards has one each of queen and heart. So take the selected card, and plug it into the numerator and the total, (including selected card) and add that into the denominator.
Hope this helps!

Some plz help it’s for all of them

Answers

Answer:

a is 0,4

Step-by-step explanation:

Answer:

A) 4,0

G) 1,4

Q) 0,-4

N) -4,-3

the polygons in each pair are similar. find the missing side length

Answers

Answer:

Can you add a picture?

The radius of a ball is 7 inches. What is the approximate surface area of the ball? Round to the nearest tenth and use
3.14 fors
Recall the formula SA-4.
O 87.9 square inches
O 175.8 square inches
O 196 square inches
O 615.4 square inches

Answers

Answer:

615.832in^2

Step-by-step explanation:

Step one:

given

The radius of a ball is 7 inches.

Required:

the surface area of the ball

Step two:

the formula for the surface area is

SA= 4πr^2

substitute

[tex]SA=4*3.142*7^2\\\\SA= 4*3.142*49\\\\SA=615.832 in^2\\\\[/tex]

The difference between teenage female and male depression rates estimated from two samples is 0.08. The estimated standard error of the sampling distribution is 0.04. what is the 95% confidence interval? Use the critical value z - 1.96.
Round all calculations to two decimal places. Put lower bound in the first box and upper bound in the second box.

Answers

Answer: (0.0016, 0.1584)

Step-by-step explanation:

Given that:

Mean (m) = 0.08

Standard Error = 0.04

Zcritical at 95% = 1.96

Using the relation :

Mean ± Zcritical * (standard error)

0.08 ± 1.96 * (0.04)

Lower boundary = 0.08 - (1.96 * 0.04)

Lower boundary = 0.08 - 0.0784 = 0.0016

Upper boundary = 0.08 + (1.96 * 0.04)

Upper boundary = 0.08 + 0.0784 = 0.1584

Confidence interval is Hence,

(0.0016, 0.1584)

The 95% confidence interval is given by (0.0016 , 0.1584) and this can be evaluated by using the mean and standard error relation.

Given :

The difference between teenage female and male depression rates estimated from the two samples is 0.08.The estimated standard error of the sampling distribution is 0.04.The critical value z = 1.96.95% confidence level.

To determine the 95% confidence interval using the following relation:

[tex]\rm \mu \pm z_{critical}\times standard \;error[/tex]

[tex]0.08\pm 1.96\times 0.04[/tex]

So, the lower and upper boundary is (0.0016 , 0.1584).

Therefore, the 95% confidence interval is given by (0.0016 , 0.1584).

For more information, refer to the link given below:

https://brainly.com/question/16555520

what is the midpoint of the segment shown below ?

Answers

(1, -3/2) is your answer. The answer is D.

"Individuals, cultures, societies, and the world change through times of conflict and cooperation."
The statement above exemplifies the era of global expansion and encounter. What other word also reflects this theme?
Technology
Trade
Monopoly
Hegemony

Answers

I would say hegemony
Hegemony because it encompasses dominance in which cultures typically dominate over one another creating a popular culture.

A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?

Answers

It will cost you $7.45

A cell phone is plugged in to be charged. The table shows the percent of battery power at some times
after it was plugged in.
Time
Percent charged
6:00 pm
2%
6:15 pm
10%
6:35 pm
21%
7:05 pm
38%
At what time will the battery be 100% charged? Use the data to find out and explain or show your
reasoning

Answers

Answer:7:45

Step-by-step explanation:


Lisa has scored 24, 21, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average
(mean) is 21 points per game?
Explanation
Check

Answers

Answer:

She needs to score AT LEAST 19 points

Step-by-step explanation:

24 + 21 + 20 + 19 = 84

84 ÷ 2 = 21

If 3/4 = x/8 then x is equal to what

Answers

Answer:

x is 6

Step-by-step explanation:

3/4 * x/8

3*8=24 then,

divide by 4 which gives you 6.

Also if you simplify 6/8, it will give you 3/4.

Answer:

6 =x

Step-by-step explanation:

Determine a constant in 9x + 4y -13.
A) -13
B) 9x
C) 4y

Answers

I think the answer is c

g If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that: Both hypotheses H0 and H1 can be accepted The null hypothesis H0 cannot be rejected The null hypothesis H0 can be rejected The research hypothesis H1 can be accepted

Answers

Complete Question

If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that:

A  

Both hypotheses H0 and H1 can be accepted

B

The null hypothesis H0 cannot be rejected

C

The null hypothesis H0 can be rejected

D

The research hypothesis H1 can be accepted

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

     The p-value  is  [tex]p-value = 0.07[/tex]

     The level of significance is  [tex]\alpha = 0.05[/tex]

Generally given that it is a one tail test then the possible value of  

   The null hypothesis is  [tex]H_o : \mu = x[/tex]

Here [tex]\mu[/tex] is the mean and  x  is the value  

 the possible values of the  alternative hypothesis is  [tex]\mu > x \ \ or \ \ \mu < x[/tex]

Now from the value given we see that the  [tex]p-value > \alpha[/tex]  hence

The decision rule is  

    Fail to reject  the null hypothesis

       

Identify a diameter of circle E.

Answers

Answer: B) HI

Step-by-step explanation:

Muffins are sold in packages of 18. Select the expressions that can represent the total number of muffins in p packages of muffins.
A. 18 + p
B. 18 × p
C. 18 – p
D. 18 ÷ p
E. 18p

Answers

i would say that the answer is e

EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?

Answers

Answer: 6, 21, 3

Step-by-step explanation:

2:7:1

Also, 2x 7x and 1x or just x

2x+7x+x = 30

10x = 30

x=3

So the three numbers: 2(3):7(3):1(3) OR 6:21:3

Help me please i beed this now

Answers

Answer:

well 5% of 600 is 30. so if you make 600 phone calls and an average of 5% of those calls are people signing up, then that would be 30.

helpppppppp meeeeeeee​

Answers

Answer:A

Step-by-step explanation:

which of the following graph represents the solution set for 5x+38 ≤ 4(2-5x)

Answers

Answer:

Option C

Step-by-step explanation:

Given inequality is,

5x + 38 ≤ 4(2 - 5x)

5x + 38 ≤ 8 - 20x [Distributive property]

5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]

25x + 38 ≤ 8

(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]

25x ≤ -30

[tex]\frac{25x}{25}\leq -\frac{30}{25}[/tex] [Dividing by 25 on both the sides of the inequality]

x ≤ 1.2

Therefore, Option (C) will be the correct graph.

rename the fraction 2/5 using tenths and hundredths​

Answers

Answer:

20/50

Step-by-step explanation:

i think

Write an integer for: A bank deposit of $175

Answers

Answer:

175

Step-by-step explanation:

A deposit is adding money to the bank, so the integer will be positive.

That makes our integer: 175

4x + 2y = 32
5x - 2y = 31

Answers

Answer:

Step-by-step explanation:

-8x-y=16;3x-y=5 | | x-y=11;2x+y=4 | | -8x-8=-40y;50y-10=10x | | 0=-11y+8x+33;-1+4/9x+1/3y=0 | | 0=-16+4x+4y;0=28-7y+7x | | 3x-y=9;-3x+y=-9 | | -4x+y=8;4x-y=8 | | x=2y-8;-2x+3y=14 | | y=2x;y=2x-3 | | x-3y=2;7x+y=36 | | 2x+5y=16;2x+3y=8 | | 2c+5p=16;2c+3p=8 | | x/5;7/4 | | -(x-2)=3(y+1);2x+3=4y-1 | | 4x-12y=17;2x+6y=1 | | 1A+4C=85;3A+2C=105 | | 2x-11y=7;3x-9y=7 | | 40-2x;X=3 | | x+y=220;2x+4y=520 | | 3p+2b=29;5p+3b=47.50 | | 4x+2y=23.50;2x+4y=18.50 | | t=2r+3;5r-4t=6 | | x+y=5157.50;y-x=917.50 | | x+y=177;x=97 | | x+y=55;x+10=181 | | x+y=10;x-y=4 | | 1/5x+1/3y=14/15;1/5x+4y=78/5 | | 8x+16y=3520;-8x-8y=2560 | | 1/25x-1/100y=7/5;1/4x+4/25y=66/5 | | -2x+5y=5;-4x+10y=0 | | 1/2x+1/3y=-5/3;1/2x+4y=2 |

| 3x+2y=-3;x=21-8y | | 5x-y=27;x+y=9 | | 36x-4y=16;y=9x+4 | | -15x-10y=1;15y=1+10x | | 3x+7y=9;x=2-2y | | 2x+y=8;y=2x | | x-2y=10;x | | x+y=2;x-y=2 | | 7x-y=27;9x-4y=3 | | x+y=480;x-y=400 | | 3x+2y=78.39;2x+3y=74.61 | | 11x+15y=6912;-11x-11y=-6336 | | 1.6x+1.6y=160;x-y=10 | | y=-1/2x-5;6x-2y=24 | | x+y=4;y-x=4 | | 5x=22-y;7x=35+2y | | 3x=12+2y;-6/5x+y=-9/5 | | 3x+2y=0;12x+2=6y | | 2x-5y=-9;5x+2y=50 | | x+y=4;x+y=-2 | | 7x-y=41;x+5y=47 | | 2x-y=7;9y=2x-31 | | x+y=11;6x-y=10 | | 0.1x+0.5y=-0.8;0.8x-0.6y=7.4 | | 1/3x+1/2y=1/6;1/3x+2y=5/3 | | 16x-10y=4;8x=5y+2 | | 15x-20y=7;10y=-3+5x | | x=5y-5;-2x+10y=10 | | 5x-27=-y;4x-y=0 | | 5x-27=-1y;4x-1y=0 | | 4x+5y=3;x=3-2y | | 6x+2y=10;12x+4y=21 | | x+y=5;3x+2y=10 | | -12x+14z=-14;-14x-14z=98 |

Express (x+9)^2(x+9)
2
as a trinomial in standard form.

Answers

Given:

[tex](x+9)^2[/tex]

To find:

The given expression as a trinomial in standard form.

Solution:

We have,

[tex](x+9)^2[/tex]

Using the formula, [tex](a+b)^2=a^2+2ab+b^2[/tex], we get

[tex](x+9)^2=x^2+2(x)(9)+(9)^2[/tex]

[tex](x+9)^2=x^2+18x+81[/tex]

Standard form a trinomial is [tex]ax^2+bx+c[/tex].

[tex]x^2+18x+81[/tex] is in the standard form.

Therefore, the required expression is [tex]x^2+18x+81[/tex].

Rosalita is making chocolate chip cookies. She needs 20 ounces of
chocolate chips. She has
2 1/4 pounds of chocolate chips. There are 16 ounces in 1 pound. How
many ounces of chocolate chips will Rosalita have left after she makes her
cookies?

Answers

the correct answer is 16
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