The manager at a pizza restaurant keeps track of the number of large pizzas and small pizzas sold each day and the total money received. On Monday, a total of 63 pizzas were sold, and the money collected was $989. If large pizzas are sold for $18 and small pizzas are sold for $13, how many large pizzas and small pizzas were sold?

Answers

Answer 1

34x18 = 612

29x13=377

377+612 = 989

34 large 29 small

Answer 2

The number of large pizza is 34 and the number of small pizza is 29.

How to find the number of small and large pizza in the problem given ?

It is given that a total of 63 pizzas were sold.

Also,  the money collected was $989.

Moreover, large pizzas are sold for $18 and small pizzas are sold for $13.

Let the number of large pizzas be x and the number of smaller pizzas be y.

From the problem statement , x + y = 63.

The total cost for large pizza is $18x and the total cost for small pizza is $13y . Now this sum is the total money collected.

∴ 18x + 13y = 989.

We have two equations ,

x + y = 63 and 18x + 13y = 989.

Substituting the value of x from first and putting it to second,

⇒ 1134 - 18y + 13y = 989.

⇒ -5y = -145

∴   y = 29 .

Putting value of y in the first equation, we have x = 34.

Therefore the number of large pizza is 34 and the number of small pizza is 29.

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Related Questions

PLEASE HELP! ILL MARK BRAINLIEST Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = nine divided by x squared + 2

Answers

y = (9 / (x^2))  + 2

Rewrite in terms of f(x):

y = (9/(g(x))) + 2

To get

g(x) = x^2

f(x) = 9/x + 2

SV is an angle bisector of ∠RST. If m∠RSV = (2x + 8)° and m∠RST = (6x − 26)°, find x.

Answers

Answer:

x = 21

Step-by-step explanation:

Given that SV is the angle bisector of ∠RST, then

∠RSV = ∠TSV, thus

∠RSV + ∠TSV = ∠RST ← substitute values

2x + 8 + 2x + 8 = 6x - 26, that is

4x + 16 = 6x - 26 ( subtract 6x from both sides )

- 2x + 16 = - 26 ( subtract 16 from both sides )

- 2x = - 42 ( divide both sides by - 2 )

x = 21

Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next strings identify the number of beads she uses in 5th string.

Answers

Answer:

She uses 243 beads for the 5th string.

Step-by-step explanation:

In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:

The second uses 9, 3 * 3 = 9

The third uses 27, 9 * 3 = 27

The fourth uses 81, 27 * 3 = 81

And the 5th uses 243, 81 * 3 = 243.

3. Your father gives one-half of the money in his pocket to your mother, one-fourth of what is left to your brother, and one-third of what then remains to your sister. He then splits the rest with you. If you get $4.00, how much did your father start with?​

Answers

Answer:

The father start with $16

Step-by-step explanation:

Let

x -----> the original amount of money

step 1

Your father gives one-half of the money in his pocket to your mother

[tex]\frac{1}{2}(x)=\frac{1}{2}x[/tex]

The remaining is

[tex]x-\frac{1}{2}x=\frac{1}{2}x[/tex]

step 2

Your father gives, one-fourth of what is left to your brother

[tex](\frac{1}{4})\frac{1}{2}x=\frac{1}{8}x[/tex]

The remaining is

[tex]\frac{1}{2}x-\frac{1}{8}x=\frac{3}{8}x[/tex]

step 3

Your father gives one-third of what then remains to your sister

[tex](\frac{1}{3})\frac{3}{8}x=\frac{3}{24}x[/tex]

The remaining is

[tex]\frac{3}{8}x-\frac{3}{24}x=\frac{6}{24}x=\frac{1}{4}x[/tex]

step 4

Your father gives the rest with you

[tex]\frac{1}{4}x=\$4[/tex]

[tex]x=\$16[/tex]

therefore

The father start with $16

Which of the following decimal numbers equals 4 thousands, 9 hundreds, 2 tens, and 6 ones?

Answers

4,926 is the answer since of the expanded form written, 4,000 + 900 + 20 + 6, but there is no decimal since nothing says tenths or hundredths or thousandths.

Hope this helped!

Nate

Final answer:

The decimal equivalent of 4 thousands, 9 hundreds, 2 tens, and 6 ones is 4926. This is calculated by adding the value of each quantity: 4000 (from the 4 thousands), 900 (from the 9 hundreds), 20 (from the 2 tens), and 6 (from the 6 ones)

Explanation:

The question is asking for the decimal equivalent of the quantity represented by 4 thousands, 9 hundreds, 2 tens, and 6 ones. To determine the answer, you would simply total the value of each quantity: 4 thousands equals 4000, 9 hundreds equals 900, 2 tens equals 20, and 6 ones equals 6. When you add these values together (4000 + 900 + 20 + 6), you get the total value of 4926 which is the decimal equivalent that we are looking for.

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A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant.
a. Write an expression to show how to find the total number of oranges ordered.
b. Next week, Mr. Lee will double the number of boxes he orders. Write a new expression to represent the number of oranges in next week’s order.
c. Evaluate your expression from Part (b) to find the total number of oranges ordered in both weeks.

Answers

Answer:

a)480

b)960

c)1440

Step-by-step explanation:

We are given the following information:

Number of oranges in a box = 24

a)Boxes ordered by Lee for his store = 8

Number of boxes ordered by Lee for his restaurant = 12

Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box

[tex]= (8+12)\times 24 = 20\times 24 = 480[/tex]

b) Now Mr. Lee doubled his order for next week.

Boxes ordered by Lee for his store = 16

Number of boxes ordered by Lee for his restaurant = 24

Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box

[tex]= (16+24)\times 24 = 40\times 24 = 960[/tex]

c) Total number of oranges ordered =

[tex](20\times 24) + (40\times 24) = (20+40)\times 24 = 1440[/tex]

Therefore, total 1440 oranges were ordered by Mr. Lee.

Question 1 of 10
2 Points
Use long division to find the quotient below.
(3x² - 5x-2) = (x-2)
A. 24-1
B. 3x-1
C. 2x+1
D.3x + 1

Answers

Answer:

3x+1

Step-by-step explanation:

Solve the equation for the specified variable
Y=cd-8, for c

Answers

Y=cd-8
Add 8 to each side giving you
y+8=cd

Divide by d on each side giving you

C=(y+8)/d

What decimal is equal 35%

Answers

Answer: 0.35

Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left. Therefore, 82 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.

35% can be written as the decimal 0.35.

The decimal equivalent of 35% is 0.35 .

Given,

35%

Now,

To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left.

Therefore, 35 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.

Hence,

35% can be written as the decimal 0.35.

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What group set out to make sure woman knew how to use their votes wisely? -Apex

A. AWSA
B. NWSA
C. NAWSA
D. League of Women Voters

Answers

The correct answer is D)

The group set out to make sure woman knew how to use their votes wisely is NWSA

What is National Woman Suffrage Association?

The National Woman Suffrage Association (NWSA) was formed on May 15, 1869, to work for women's suffrage in the United States. Its main leaders were Susan B. Anthony and Elizabeth Cady Stanton.

Given is to find out which group set out to make sure woman knew how to use their votes wisely.

The NWSA wanted a constitutional amendment to secure the vote for women, but it also supported a variety of reforms that aimed to make women equal members of society.

Therefore, the group set out to make sure woman knew how to use their votes wisely is NWSA.

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2,3,5,7,11,13 find the next 5 numbers

Answers

Answer:

15,17,19,21,23

Step-by-step explanation:

It goes up by 2

what is the answer to -52 + 8|-1| + (-3)

Answers

Answer:

the answer is is -47

Step-by-step explanation:

First take the 8|-1|

anything between the lines is turned positive. therefore it simplifies to just 8 * 1  

so, now we have -52 + 8 + (-3)

-52 + 8= -44

-44+(-3)=-47

hope this helps you! ^^

I am a pattern block that has 2 fewer sides than a hexagon. I have 2 pairs of parallel sides a 4 right angles. Which shape am I

Answers

The shape described is a square, having four sides, two pairs of parallel sides, and four right angles, making it two sides fewer than a hexagon.

The shape you are referring to is one with four sides, two pairs of parallel sides, and four right angles. A hexagon has six sides, so a shape with two fewer sides would have four sides. This description matches that of a rectangle. However, since all angles are right angles, which is 90 degrees, this particular rectangle is also a square. Therefore, the pattern block shape you are asking about is a square, which fits the criteria of having two fewer sides than a hexagon, two pairs of parallel sides, and four right angles.

Simplify by combining like terms: 10x - 12y + 8 + 12y

Answers

the simplified expression is [tex]\( 10x + 8 \)[/tex].

To simplify the expression[tex]\( 10x - 12y + 8 + 12y \)[/tex] by combining like terms, follow these steps:

1. Combine the terms with the same variable:

[tex]\[ 10x - 12y + 8 + 12y \] \[ = (10x) + (-12y + 12y) + 8 \] \[ = 10x + 0y + 8 \] \[ = 10x + 8 \][/tex]

So, the simplified expression is [tex]\( 10x + 8 \)[/tex].

Identify the written form of this number 4,812,000

Answers

Answer: Four million eight hundred twelve thousand

Hope this helps you!

Answer:

four million eight hundred and twelve thousand

Step-by-step explanation:

Whats
180,000+66. ; )

Answers

Answer:

I'm gonna take a wild guess and say 180,066 ;)

Answer:

180,066

Step-by-step explanation:

Simply add the two numbers. :) 180,000

                                                    +        66

                                                     -------------

                                                     180,066

Can you explain this for me it im3 thank you

Answers

Answer:  see graph (attached)

Step-by-step explanation:

This is 4 line segments on one graph.

Segment 1

y = -2   when x is between -2 and -1

including -2 (closed dot) excluding -1 (open dot)

Segment 2

y = -1   when x is between -1 and 0

including -1 (closed dot) excluding 0 (open dot)

Segment 3

y = 0   when x is between 0 and 1

including 0 (closed dot) excluding 1 (open dot)

Segment 4

y = 1   when x is between 1 and 2

including 1 (closed dot) excluding 2 (open dot)

See graph for each of the line segments plotted on the graph

Given AC = LN and BA= ML, which statement must be
true?
MBC BC > MN
BC = MN
BA= LN

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer: The correct Answer Is A BC<MN

Step-by-step explanation:

Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets sold (x) and the total income from the tickets (y)?
A?
B?
C?
D?

Answers

D. Y is the price of the ticket

If f(x) = 1/x+1 and g(x) = x^2, what does f(g(-1)) equal?
A. -1
B. -1/2
C. 0
D. 1/2
E. 1

Answers

Answer:

D: f(g(-1)) = 1/2

Step-by-step explanation:

f(x) = 1/(x + 1)

g(x) = x²

g(-1) = 1

f(g(-1)) = 1/(1 + 1)

f(g(-1)) = 1/2

The great factory makes 6,793 toys each day. It makes 257 more toys than the super toy factory. How many toys does the super toy factory make each day?

Answers

6536 6793-257= 6536 is how many toys the super toy factory makes each day

Final answer:

The super toy factory makes 6,536 toys each day, which is calculated by subtracting the 257 additional toys made by the great factory from its total production of 6,793 toys.

Explanation:

To determine how many toys the super toy factory makes each day, we need to subtract the number of additional toys made by the great factory from its total daily production. The great factory makes 6,793 toys each day and it makes 257 more toys than the super toy factory. So:

Number of toys made by the super toy factory = Number of toys made by the great factory - Extra toys made by the great factory

Number of toys made by the super toy factory = 6,793 - 257

After performing the subtraction:

Number of toys made by the super toy factory = 6,536

Therefore, the super toy factory makes 6,536 toys each day.

in one math class there are 30 students, 12 of them are "nontraditional" in terms of age . If you randomly pick one person from that class, what's the probability that he or she will be of nontraditional age​

Answers

Answer:

the answer will be 12/30

The answer will be 12/30 or 6/15 simplified

Evaluate x + y + z for x = 2, y=-3, z=-4​

Answers

Answer:

-5 is the answer

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

You have to plug the numbers for each letter

2 + (-3) + (-4)  /  2 - 3 - 4 = -5

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nalia worked 3.5 hours more than lisa together they worked a total of 18 hours lisa worked h hours

Answers

Answer:

7.25 and 10.75 Hours

Step-by-step explanation:

Total hours Nalia and Lisa worked = 18 Hours

Nalia worked 3.5 hours then Lisa which is [tex]h[/tex] hours

⇒[tex]h + (h + 3.5) = 18[/tex]

[tex]2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25[/tex]

Lisa has worked for 7.25 hours

Nalia has worked for = 7.25 + 3.5 = 10.75 hours

Can anyone help me with this question please.(12points)

Answers

Answer:

8(8 + 7 + 5)

8(7 + 5)

40 + 56

15 + 13

(8 - 7) + (8 - 5)

Step-by-step explanation:

8 (64 + 56 + 40)

8(56 + 40)

96

28

1  + 3

What is -6 + 5a - 6a - 10 - 4a simplified

Answers

Answer:

-5a -16

Step-by-step explanation:

-6 + 5a - 6a - 10 - 4a

=5a -6a -4a -10 -6

= -5a -16

Answer:

-16 - 5a

Step-by-step explanation:

-6 + 5a - 6a - 10 - 4a

= -6 - 10 = -(6 + 10)

= -16

= -16 + 5a - 6a - 4a

= 5a - 6a - 4a

= (5 - 6 - 4)a

= -5a

= -16 - 5a

How many solutions does this equation have?
7 - 8 = -8j
no solution
one solution
infinitely many solutions

Answers

One solution because when you switch the - to the other side it will be positive which will equal one and make it one solution.

6×104 find the value

Answers

Answer:

624

Step-by-step explanation:

624
Step by step explanation:
When u multiply 6 x 104 it will equals to 624

Round 9.843 to the nearest tenths

Answers

Answer: 9.8

Step-by-step explanation:

9.8 is the answer for rounding to the nearest tenths spot

Simplify the expression -3/8 -1/10

Answers

The simplified expression is -11/40.

The expression -3/8 - 1/10 can be simplified by following these steps:

1. Find a common denominator for the two fractions. The smallest number that both 8 and 10 can divide into is 40.

2. Rewrite the fractions using the common denominator.

  -3/8 = -15/40
  -1/10 = -4/40

3. Subtract the rewritten fractions.

  -15/40 - (-4/40) = -15/40 + 4/40 = -11/40

Therefore, the simplified expression is -11/40.

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