A pizza shop used 100 pounds of pizza dough to make 155 pizzas. If a large pizza requires 1 pound of pizza dough, and medium pizza requires 1/2 a pound, how many large and medium-sized pizzas were made
Answers
Answer:
45 Large and 55 Medium
Step-by-step explanation:
First, we have to make our 2 equations. One has to have the pizzas and the total pizzas and one has to have the pounds. Suppose large is L and medium is M. L + 1/2M = 100 (pounds) and L + M = 155 (pizzas). Now, we can use elimination to remove one of the variables. But first, we need to multiply the equation (L + 1/2M = 100) by -2 to get (-2L + -M = -200). We can now add the two equations together and get -L = -45. Then we divide this by -1 and get L = 45. The large pizzas and 45 and with some easy subtracting (100 - 45 = 55) we can determine the amount of medium pizzas, which is 55.
Related Questions
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
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An average fly has a mass of 0.048 grams. An average ant has a mass of 3.12 x 10^-3grams
Would 3.99 million flies or 47,000.000 ants have a greater mass?
Approxmately how much greater, in grams, would the greater mass be? Justity your answers Respond in the space provided
Answers
Answer:
the flies have a greater mass
Step-by-step explanation:
First, we should solve 10^-3 = 0.001 "for the ants" it is NOT negative now 0.001 times 3.12=0.00312 to find the total fly mass we should just multiply 0.048 times 3990000=191520 and for the ants 0.00312 times 47million=146640 so now the answer would be that the flies has a greater mass
Answer:
the flight have greater mass
Step-by-step explanation:
Help me please I just need help
Answers
Answer:
Step-by-step explanation:
utude por favor nickew
Answer: I dont know algebra but if we are adding its 40 probaly I dont even know
Only answer these if u know french history and you're also fluent in french again this a french question
Answers
Answer:
1. An island in the middle of the Seine River
2. A castle somewhere in Europe
3. A Parisian park
4. A park outside of Paris
5. A place that houses an important collection of modern art
1.An island in the middle of the Seine River2. A castle somewhere in Europe 3. A Parisian park 4. A park outside of Paris5. A place that houses an important collection of modern art
I think that because i used to have a friend who speaks French
The equation 4.05p+14.40=4.50(p+3) represents the number p of pounds of peanuts you need to make trail mix. How many pounds of peanuts do you need for the trail mix?
Answers
Answer: p=2
Step-by-step explanation:
4.05p+14.40=4.50p+13.50
4.50p-4.50p=13.50-14.40
-0.45p=-0.90
p=-90/-0.45
p=2
.'. 2 pounds are needed to trail milk
Sam is packing gift boxes with fruit. For each apple, he packs 3 plums, and 5 oranges. If he puts three apples in a box, how many plums and oranges will Sam put in the box?
Answers
Answer:
9 plums and 15 oranges
Step-by-step explanation:
3+3+3 = 9 plums
5+5+5= 15 oranges
1+1+1= 3 apples
Which phrase represents the meaning of the symbol <? A. Less than B. Equal to c. Take away d. Greater than
Answers
Answer:
I think the answer is (less than symbol)
Step-by-step explanation:
Answer:
the answer is A. Less then (<)
Step-by-step explanation:
PLEASE HELP THANK YOU SO MUCH!!! :)
(solve, show work) Jennifer earns $1,920 in interest after making a deposit 6 months ago at a rate of 12.5%. What was the initial deposit 6 months ago? PLS answer this seriously its really important tysm!
Answers
Answer:
P = $1807.058
Step-by-step explanation:
Given
A=$1, 920
R=12.5% =12.5/100
T= 6month = 6/12 .... to change to year
Required
p=?
Solution
A= I + P ......... I= PRT
A = PRT + P
A= P(RT+1)
$1920 = P( 12.5/100 ( 6/12) + 1 )
$1920= P(1.0625)
P = $ 1920 / 1.0625
P = $1807.058
We can use the simple interest formula to solve this problem. The formula is:
I = P*r*t
where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate, and t is the time in years.
First, we need to convert the annual interest rate of 12.5% to a monthly rate. We can do this by dividing the annual rate by 12 (the number of months in a year):
r = 12.5%/12 = 0.01041667
Next, we need to convert the time of 6 months to a fraction of a year. We can do this by dividing 6 by 12:
t = 6/12 = 0.5
Now we can plug in the given values and solve for P:
I = P*r*t
$1,920 = P*0.01041667*0.5
$1,920 = P*0.00520833
P = $1,920/0.00520833
P = $368,640
Therefore, the initial deposit 6 months ago was $368,640.
I need help its due today
Answers
Answer:
positive its A
remember that whatever is first in the ratio picture is what will be first in the word answer!
Step-by-step explanation:
mkwenqeffwefw fw HELPPPPPPP PLEASE
Answers
Answer:
The length is 69
Step-by-step explanation:
because 248 - 110 is 138 and 138 divided by 2 is 69
HURRRRRRRRRRRRRRRRRRYYYYYYYYYYYYYYYYY
Answers
Find the range of allowable values based on the given information. Round to the nearest tenth.
44 can vary by 4.2%
Enter the correct answers in the boxes.
Answers
Answer:
24×3.5%=0.84 so round to nearest tenth is 0.9.
Step-by-step explanation:
Which of the following is a true statement about this equation?
y = -x 2 + 3x + 2
A. The equation is a function.
B. The equation is not a function.
C. A horizontal line test would show that the equation is a relation but not a function.
D. A vertical line test would show that the equation is a relation but not a function.
Answers
Yasin has tried to work the size of the angle marked g in the regular decagon below, using the fact that exterior angles sum to 360°. His workings are shown below.
a) Write a sentence to explain what Yasin has done wrong.
b) What is the size of angle g? Show all your workings.
Answers
well, Yasin is correct, the exterior angles are all 36° each, however "g" is including more than just that, Check the picture below.
Answer: 36 is wrong
Step-by-step explanation: 360 - 36 = 324 degrees
The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answers
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
The volume of a cone is 80π cubic units. The radius of this cone is tripled.
Eric says the new volume will be tripled. It is 240π cubic units.
Natalie says the new volume will be multiplied by 9. It is 720π cubic units.
Who is correct? Explain your reasoning.
Answers
V = (1/3)πr^2h
Where V is the volume, r is the radius, and h is the height. If the radius of a cone is tripled, the volume of the cone will be multiplied by 9. This is because the radius is squared in the formula, so tripling the radius is the same as multiplying it by 3*3=9.
To see this more clearly, consider the following example:
Suppose the radius of a cone is 2 units and the height is 4 units. The volume of the cone is:
V = (1/3)π(2^2)(4) = (1/3)π(4)(4) = (1/3)π(16) = 16π/3 cubic units
If we triple the radius of the cone to 6 units, the volume of the cone becomes:
V = (1/3)π(6^2)(4) = (1/3)π(36)(4) = (1/3)π(144) = 144π/3 cubic units
The volume of the cone has been multiplied by 9.
Please brainliest if you’re satisfied
Alright. I tried solving it but my mind is on vacay. Help me please! ✌
Answers
An atlas contains a map of Ohio (look at the picture for parts a,b,c, and d
Answers
Answer:
Step-by-step explanation:
a
Select all ratios equivalent to 1:2 A. 10:20 B. 12:24 C. 8:16
Answers
Answer:
A, B, ad C
In order to find the ratio of something you must:
Add the parts of the ratio to find the total number of parts.
Find the value of each part of the ratio by dividing the number by the total number of parts calculated in step 1.
Multiply each part of the original ratio by the value of each part calculated in step 2.
you purchase a telescope in a state with a 5% sales tax you pay 12.45 in tax how much was the telescope
Answers
Answer:
The price is $249
Step-by-step explanation:
In order to find the price from taxes, you have to multiply the % so that it equals 100%, then you multiply the tax you paid by that number. For example, since 20 x 5% is 100%, you multiply $12.45 x 20, which equals $249.
What is the value of 0!
Describe your answer
Answers
The value of zero is nothing. Zero has no value. It is a number bigger than -1 but smaller than 1. It is hard to explain but there are numbers smaller than zero, like -1, -2, -3, -4, -5, -6 and so on into infinity.
PLZ HELP ME PLZ PLZ HELP ME
Answers
Answer:
I dont have an answer but i do have something that could help .
Paulo tracks his commute time. The coordinate plane below shows some of his commute times in the last two weeks. The x-axis of the graph represents the number of days before today. For example, -1 would represent yesterday. The y-axis represents the commute time in minutes.
2 days ago, Paulo's commute time was halfway between his commute times 8 and 9 days ago.
At what coordinates should Paulo graph his commute time 2 days ago?
Answers
Answer:
-2 Means Day 2 & 21 is commute time
Step-by-step explanation:
The coordinate plane below shows some of his commute times in the last two weeks.
See attached graph
Yesterday means - 1
Days 8 means - 8
Day 9 means -8
- 8 has dot on 24 => Commute time on Days 8 = 24 minutes
-9 has dot on 18 => Commute time on Days 9 = 18 minutes
2 days ago, Paulo's commute time was halfway between his commute times 8 and 9 days ago.
=> Commute time on Days 2 =(24 + 18)/2 = 21
Day 2 = - 2
Coordinate = (-2 , 21 )
-2 Means Day 2 & 21 is commute time
Find the area of the shaded region.
Answers
Answer:
are means to multiply and perimeter means to add so you multiply the numbers outs the polygon
Step-by-step explanation:
What does MAT mean in education?
Answers
Answer: Master of arts in teaching
Step-by-step explanation:
it's for people that want to teach or are teaching already and want to continue teaching in the classroom.
Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answers
Answer:
The equivalent ratios are: (1, 2), (2, 4), and (3, 6)
The graph can be plotted on a coordinate grid as shown in the diagram attached below.
Recall:
Ratio between two quantities, x and y, can be represented by the equation, y = kx, where k is the constant of proportionality.
k = y/x
Let x = number of books
y = cost (dollars)
Using any of the ordered pairs from the table, say, (7, 14), find k:
k = y/x = 14/7 = 2
Write the equation by plugging in the value of k into y = kx
y = 2x
Using the equation, y = 2x, find the equivalent ratios when x = 1, x = 2, and x = 3:
When x = 1:
y = 2(1) = 2 --> (1, 2)
When x = 2:
y = 2(2) = 4 ---> (2, 4)
When x = 3:
y = 2(3) = 6 ---> (3, 6)
The graph for the three equivalent ratios, (1, 2), (2, 4), and (3, 6) can be plotted on a coordinate grid as shown in the diagram attached below.
-by-step explanation:
I don't know whats this is
Answers
Answer:
a
Step-by-step explanation:
dont use
Step by step: don’t use
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
My little brother needs to know how (8+9)+3 is equivalent to 8+(9+3) and what is the benefit of using that property.
Answers
Answer:
The commutative property let's us know that we can add numbers in any order and the answer will always be the same. 2+4=6 and 4+2=6
The international space station has small cupboards that are used for storage. A cupboard is drawn below (redrew by me cause I'm using chrome book and computer)
1. What is a formula that can be used to find the area of one triangular section of the door?
2. How do you know the formula will work?
Answers
Answer:
\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)
Step-by-step explanation:
Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.
\(A = \frac{h_{b}+b}{2}\)
Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.
By using trigonometric relations we will see that the area is:
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
