Answer:
The number of cheese pizza sold is 200 cheese pizzas
The number of sausage pizza sold is 80 sausage pizzas
The number of pepperoni pizza sold is 120 pepperoni pizzas
Step-by-step explanation:
The price at which the pepperoni pizza was sold is $14
The price at which the sausage pizza was sold is $11
price at which the cheese pizza was sold is $10
The total number of pizzas sold = 400
The total amount made = $4560
The number of cheese pizza sold = 80 + the number of pepperoni pizzas
Let the number of cheese pizza sold = C
The number of sausage pizza sold = S
The number of pepperoni pizza sold = P
We have;
C + S + P = 400..........................(1)
C = 80 + P...................................(2)
10·C + 11·S + 14·P = $4560.......(3)
Substituting the value for C from equation (2) in equation (1), we get;
C + S + P = 400 = 80 + P + S + P = 400
2·P + S = 400 - 80 = 320
∴ S = 320 - 2·P..........................(4)
Substituting the value for C from equation (2) and the value for S from equation (4) into equation (3), we get;
10·C + 11·S + 14·P = $4560
10·(80 + P) + 11·(320 - 2·P) + 14·P = 4560
800 + 10·P + 3,520 - 22·P + 14·P = 4560
4,320 + 2·P = 4560
2·P = 4560 - 4,320 = 240
P = 240/2 = 120
P = 120
C = 80 + P = 80 + 120 = 200
C = 200
S = 320 - 2·P = 320 - 2×120 = 320 - 240 = 80
S = 80
Therefore;
The number of cheese pizza sold = C = 200
The number of sausage pizza sold = S = 80
The number of pepperoni pizza sold = P = 120.
The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the width. Find the dimensions.
Answer:
The dimensions of the rectangle = 60ft by 107ft
Where 60 ft = Width of the playing field
107ft = Length of the playing field
Step-by-step explanation:
A playing field is Rectangular is shape, hence,
The formula for Perimeter of a rectangle = 2(L + W)
P = 334 ft
L = 47 + W
W = W
Hence we input these values in the formula and we have:
334 = 2(47 + W + W)
334 = 2(47 + 2W)
334 = 94 + 4W
334 - 94 = 4W
240 = 4W
W = 240/4
W = 60
There fore, the width of this playing field = 60 ft
The length of this rectangle is calculated as:
47 + W
47 + 60
= 107 ft
The length of this playing field = 107ft
Therefore the dimensions of the rectangle = 60ft by 107ft
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $82,910, and the variable costs will be $10.75 per book. With the other method, the one-time fixed costs will total $22,110 , and the variable costs will be $23.25 per book. For how many books produced will the costs from the two methods be the same?
Answer:
When 4864 books are sold
Step-by-step explanation:
Create an equation where x is the number of books produced:
The first method will be represented by 10.75x + 82,910
The second method will be represented by 23.25x + 22,110
Set these equal to each other and solve for x:
10.75x + 82,910 = 23.25x + 22,110
82,910 = 12.5x + 22,110
60,800 = 12.5x
4864 = x
So, the costs will be the same for both methods when 4864 books are sold
-3, -2,-1, 0, 1, 2, 3, are called_______
Answer: Integers
Step-by-step explanation: To help introduce the set
of integers, let's use the number line shown below.
Notice that on a number line, 0 is in the middle, all numbers to the
left of 0 are negative, and all numbers to the right of 0 are positive.
The set of integers includes the set of whole numbers, {0, 1, 2, 3, ...},
which appear at 0 and to the right of 0 on the number line.
The set of integers also includes {-1, -2, -3, ...} which
appear to the left of 0 on the number line.
So the ste of integers can be written as {...-3, -2, -1, 0, 1, 2, 3...}.
Answer:
Integers
Step-by-step explanation:
a positive (+) or negative (-) number with no fractional parts. zero (0) Is also an integer
Examples: -3, 3
Let f(x) = 3x² - x, find f(-3) *
Answer:
30
Step-by-step explanation:
if f(x)=3x^2 - x then,
f(-3)=3*-3^2 -(-3)
=3*9 +3
=27+3
=30
So, The value of f(-3) is 30
Hope Thiswill be helpful for you.
We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and 80% concrete mix. We want to end up with 30 pounds of a result that is 10% water and 90% concrete mix. Determine how many pounds of each variety we need.
Answers:
20 pounds of the 95% concrete mix10 pounds of the 80% concrete mix=================================================
Explanation:
x = amount of the 95% concrete mix
y = amount of the 80% concrete mix
Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.
So far we have 0.95x+0.80y pounds of pure concrete from the two mixes
Divide this over 30 to get (0.95x+0.80y)/30
Setting this equal to 0.90 means we want the final mix to be 90% concrete.
Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later
-------------------------------
(0.95x+0.80y)/30 = 0.90
0.95x+0.80y = 30*0.90 .... multiply both sides by 30
0.95x+0.80y = 27
0.95x+0.80(30-x) = 27 ..... plug in y = 30-x
0.95x+0.80*30-0.80*x = 27
0.95x+24-0.80x = 27
0.15x+24 = 27
0.15x = 27-24 ..... subtracting 24 from both sides
0.15x = 3
x = 3/0.15 ........... dividing both sides by 0.15
x = 20
y = 30-x
y = 30-20
y = 10
A line passes through the point (4,–2) and is perpendicular to the line with the equation y = 2∕3x + 4. What's the equation of the line? Question 1 options: A) y = –3∕2x – 4 B) y = 2∕3x + 3 C) y = 3∕2x – 8 D) y = –3∕2x + 4
Answer:
Step-by-step explanation:
perp. -3/2
y + 2 = -3/2(x - 4)
y + 2 = -3/2x + 6
y = -3/2x + 4
answer is D
HELPPP!!
SIMPLIFY!!!
5x²-7y+3x²-8y
Answer:
8
x
2
−
15
y
Step-by-step explanation:
Hope that helps
Answer the following questions about this figure.
PLS HELP ME
Answer:
143
Step-by-step explanation:
First, figure out the measurement of angle 2. Take 180 degrees (the total of the triangle) and subtract 90 (the right angle) and 53 (the given measurement of angle 1). 180-90-53=37
Angle 2 measures 37 degrees. The measurements of angles 2 and 3 need to equal 180 when added together as they form a straight line, so take the total (180) and subtract the value of angle 2 (37). 180-37=143
Angle 3 measures 143 degrees
what is equivalent to 5 meters
Answer:
500 centimeters
Step-by-step explanation:
cause it is
describe a real-world situation using opposites
Answer:
The real world using opposite would be like calling it perfect or or saying that it is normal now days. Hope this helps!
Which of the following is a rational number? 79, 80, 81, 82
What is the range of these wages £140 £525
Pat and Julie share some money in the ratio 2 : 5 Julie gets $45 more than
Pat. How much money did Pat get? (SHOW WORKING)
plsssss helppp
Answer:
Pat receives $18.
Step-by-step explanation:
Pats get 18 dollars because he only gets 40 percent of what Julie gets and 40% of 45 is 18.
(2ײy²)⁰ I need help with exponents
Answer:
1.
Step-by-step explanation:
Any real value to the power of 0 is 1.
Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
length of the hypotenuse to the nearest hundredth of a foot (2 decimal places)
Answer:
Length of the hypotenuse = 23.43ft
Step-by-step explanation:
First leg = 15ft
Second leg = 18ft
Length of the hypotenuse = ?
In a right angle triangle,
Hypotenuse^2 = opposite^2 + Adjacent^2
Let first leg and second leg of the triangle be opposite and adjacent respectively
Hypotenuse^2 = opposite^2 + Adjacent^2
= 15^2 + 18^2
= 225 + 324
= 549
Hypotenuse^2 = 549
Find the square root of both sides
√Hypotenuse^2 = 549
Hypotenuse = 23.43ft to the nearest of a hundredth
Length of the hypotenuse = 23.43ft
Can anyone solve this word problem?
Answer:
Mrs. Davis package is 30 ounces
Step-by-step explanation:
x for ounces
mailbox plus=0.25x+5
united package=0.35x+2
since Mrs.Davis noticed that she is going to pay same price then:
0.25x+5=0.35x+2
5-2=0.35x-0.25x
3=0.10x
x=3/0.10
x=30 ounces
Mrs. Davis package is 30 ounces
check:
0.25x+5=0.25(30)+5= 12.5 dollars
o.35(30)+2=12.5 dollars
Help me make sure this is right please??!!
Answer:
[tex]2\sqrt{3} -3\sqrt{3}[/tex]
Step-by-step explanation:
We need a number that is able to be square rooted, and then we square root it and take it out so it is simplified
[tex]\sqrt{4*3} -\sqrt{9*3}[/tex]
The square root of 4 is 2, and the square root of 9 is 3.
[tex]2\sqrt{3} -3\sqrt{3}[/tex]
(3x+4) and (2x−3). What is the perimeter of the park?
Answer: 10x-2
Step-by-step explanation:
I assume this is a rectangular park
Formula for perimeter: 2(l + w)
l= 3x+4
w= 2x-3
--------------------------------------------------------
Use PEMDAS to simplify (basic operation from left to right)
ParenthesesExponentsMultiplication and DivisionAddition and subtraction2(l+w)
=2[(3x+4)+(2x-3)]
=2[3x+4+2x-3]
=2[5x-1]
=10x-2
What is the simplified expression for the expression below? –1(2x + 3) – 2(x – 1)
Answer:
-4x - 1.
Step-by-step explanation:
-1(2x + 3) - 2(x - 1)
= -2x - 3 - 2x + 2
= -4x - 1.
Answer:
-4x -1
Step-by-step explanation:
-2x -3 -2x + 2
I dont understand hot to find g(3)
The answer to this equation is 4. This is because since the function is g(3), you plug in x with 3. 3*3 = 9. 9+7 = 16. The square root of 16 is equal to 4, so that is your answer.
What is the value of x in the equation −x = 3 − 4x + 15?
Answer:
x = 6
Step-by-step explanation:
First of all you should collect like terms
-x = 18 - 4x
Then you should move the variable to the left
-x + 4x = 18
After that you should collect like terms
3x = 18
Finally divide both sides by 3
x = 6
Hope this helps!
Answer:
6
Step-by-step explanation:
Really need help on this!!
Answer:
Hey there!
There are 3+4+6+3, or 16 females.
3 of the females are seniors.
Thus, the percent is 3/16, or 19%
Let me know if this helps :)
21-m=9 anyone know this ?
Answer:
m=12
Step-by-step explanation:
21-m=9
-m=9-21
-m=-12
m=12
Answer:
12
Step-by-step explanation:
21-m=9
21-9=12
m=12
(6 + h 2− j) ÷ 2; use h = 6, and j = 4
Answer:
19
Step-by-step explanation:
Given
(6 + h² - j) ÷ 2 , substitute h = 6 and j = 4 into the parenthesis
= (6 + 6² - 4) ÷ 2
= (6 + 36 - 4) ÷ 2
= 38 ÷ 2
= 19
3 is multipled by the cube of a number.
Answer:
Cube of a number is three times of the same number. Cube of any mathematical expression is represented by the superscript 3. For example a 3 of the number is a x a x a. It can also be told as the number multiplied by its square. a 3 = a x a 2 can you please help me
Step-by-step explanation:
At what value(s) of x does f(x) = -x4 + 2x2 have a critical point where the graph changes from decreasing to increasing?
Hope the graph helps!
What is the image of (–9,-5) after a dilation by a scale factor of 5 centered
at the origin?
Answer: (-45,-25)
Step-by-step explanation:
Multiply each coordinates value by the scale factor to find the new point.
-9 * 5 = -45
-5 * 5 = -25
(-45,-25)
Tina learns 2 new appetizer recipes during each week of culinary school. After 19 weeks of culinary school, how many total appetizer recipes will Tina know?
Answer:
38 recipes
Step-by-step explanation:
1 week=2 recipes
19 week=19×2 recipes
=38 recipes
Plz,marks me as a brainest ok.
Write 7*10*10*10*10 with an exponent
7*10*10*10*10=
what is [12÷(3-1)+4]×6
Answer:
60
Step-by-step explanation:
12 ÷ (3 - 1) = 6
6 + 4 = 10
10 × 6 = 60