There are 53 rolls of wrapping paper.
To solve for the number of rolls of wrapping paper that Shya has, we can set up a system of linear equations based on the information provided:
Let R be the number of rolls of wrapping paper.
Let P be the number of packages.
From the question, we have two equations:
R + P = 125 (the total number of rolls and packages)
3.50R + 2.25P = 347.50 (the total cost of rolls and packages)
To find the value of R, we will solve this system using the substitution or elimination method.
First, let's use the substitution method by expressing P in terms of R from the first equation:
P = 125 - R
Now substituting this expression into the second equation gives us:
3.50R + 2.25(125 - R) = 347.50
3.50R + 281.25 - 2.25R = 347.50
1.25R = 347.50 - 281.25
1.25R = 66.25
R = 66.25 / 1.25
R = 53
Therefore, there are 53 rolls of wrapping paper.
You have 2424 homework problems for math class. You finish 1212 of them during some extra time in class. If you complete 44 more problems while waiting for the bus, what fraction of the 2424 problems will remain?
How many sixteenths are in 15/16?
In the car lot,4/12 of the cars are white and 3/12 of the cars are blue.What fraction of the cars in the lot are either white or blue?
The fraction of the cars in the lot are either white or blue is 7/12.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, in the car lot, 4/12 of the cars are white and 3/12 of the cars are blue.
Either white car or blue car means sum of white and blue car
Now, 4/12 + 3/12
= (4+3)/12
= 7/12
Therefore, the fraction of the cars in the lot are either white or blue is 7/12.
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Simplify the ratio 36 to 45.
The simplified ratio of 36 to 45 is 4 to 5.
To simplify the ratio 36 to 45,
First, find the greatest common divisor (GCD) of 36 and 45 as
36 = 1, 2, 3, 4, 6, 9, 12
45 = 1, 3, 5, 9, 15 .
So, the GCD of 36 and 45 is 9.
Now, simplifying the ratio
= 36/48
= (9 x 4)/ (9 x 5)
= 4/5
Therefore, the simplified ratio of 36 to 45 is 4 to 5.
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Peter flips a coin 50 times. What is the theoretical probability of flipping a heads?
Kelly orders t-shirts and sweaters from a clothing company she buys them at the prices of $659.00 for a t-shirt and $600.00 for a sweater the quantity is 100 for a t-shirt and 50 for a sweater how much does one sweater cost than one t-shirt?
the ratio of saves for a baseball pitcher to the number of save opportunities are given for three relief pitchers: 9/10, 4/5, 17/20. write each ratio as a percent. Order the percents from least to greatest.
80%, 85%, 90%.
= = =
4/5, 17/20, 9/10 is least to greatest.
4/5 equals to 80 out of 100. 17/20 is equal to 85 out of 100. 9/10 is equal to 90 out of 100.
A cape is on sale for 30% off. It's sale price was $126. What is the original price?
The original price of the cape, before a 30% discount that resulted in a sale price of $126, was $180. Since 70% of the original price equals the sale price, dividing $126 by 0.7 yields the original price.
Explanation:To find the original price of an item that has been discounted by 30%, we first recognize that the sale price represents 70% of the original price because 100% - 30% = 70%. If $126 is the sale price, it is 70% of the original price.
To find 100% of the original price, you can set up a proportion or simply divide the sale price by 0.7.
Using division:
Original Price = Sale Price / 0.7
Original Price = $126 / 0.7
Original Price = $180
Therefore, the original price of the cape was $180.
When we include sales tax in the calculation, assuming we know the tax rate, we would add that to the original price to get the total cost that will be paid at the register.
However, this question doesn't provide a tax rate, so we only calculate the original price.
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
how to solve measurement a pool that holds 320 cubic feet of water is 84 percent filled to capacity. another pool that hold 400 cubic feet of water is 82.5 percent filled to capacity. which pool contains more water? how much more?
a car travels 406 miles in 7 hours (with a constant speed). how mush time will it take traveling 435 miles?
item is mainly priced at $80. It is now priced at a discount 60% off the regular price. What is the price now ?
1.2and 1.4 which one bigger
Where can we put parentheses in the following expression to make it equivalent to 2?
60÷(10×3)
or
(60÷10)×3
Lisa paid $43.95 for 16.1 gallons of gasoline what was the cost per gallon rounded to the nearest hundredth
Answer:
The cost per gallon of gasoline, rounded to the nearest hundredth is $2.73.
Step-by-step explanation:
The cost of 16.1 gallons of gasoline = $43.95
So, the cost of 1 gallon of gasoline is given by = [tex]\frac{43.95}{16.1}[/tex]
= $2.7298 rounded $2.73.
Therefore, the cost per gallon of gasoline, rounded to the nearest hundredth is $2.73.
Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 20 chores, and $18 in allowance the week he did 8 chores. Write an equation for his allowance in slope-intercept form.
the 6 a.m. temperature for four constructive days in the town of Lincoln were -21.1 °c, -7.8°c, -14.3°c, and -14.3°c. what was the average 6 o'clock a.m. temperature for the four days
lilah's band had practiced 24 songs. at a performance, they played 7 songs in their first set and 8 in their second set. how many songs did they have for their third set, if they had to save one song for an encore?
For the third set, they had 9 songs, but one was saved for an encore, so they had 8 songs remaining.
If Lilah's band had practiced 24 songs and they played 7 songs in their first set and 8 songs in their second set,
find out how many songs they had for their third set by subtracting the songs played in the first two sets from the total number of songs they practiced.
Total songs practiced = 24
Songs played in the first set = 7
Songs played in the second set = 8
Total songs played in the first two sets = 7 + 8 = 15
Now, to find the number of songs they had for their third set, subtract the songs played in the first two sets from the total songs practiced:
Number of songs for the third set = Total songs practiced - Total songs played in the first two sets
Number of songs for the third set = 24 - 15
Number of songs for the third set = 9
However, they had to save one song for an encore.
Therefore, they had 9 songs for their third set, but they played one for the encore, leaving them with 8 songs for the third set.
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an automobile tire loses t milliliters of tread traveling m miles. What is the independent variable?
In the given scenario, the independent variable is 'm miles', which is the controlled variable that dictates how much tread an automobile tire will lose, represented as 't milliliters'.
Explanation:In the situation described, an automobile tire loses t milliliters of tread traveling m miles. When analyzing this scenario, it's clear that the amount of tread lost depends on the distance traveled. Thus, the independent variable is the variable that you have control over or can set prior to the start of the experiment or observation, which in this case is m miles. The dependent variable, which changes in response to the independent variable, would be t milliliters of tread lost. As the car travels more miles, the amount of tread lost would likely increase, which shows a dependency of t milliliters on m miles.
What is the advantage of using exponential notation
jax has 6 marbles his sister has 3 times as many as jax
Jax's sister has 3 times as many marbles as Jax. By using multiplication, we calculate that if Jax has 6 marbles, his sister, therefore, would have 18 marbles.
Explanation:In this problem, Jax's sister has 3 times as many marbles as Jax. If Jax has 6 marbles, we get the number of marbles that his sister has by multiplying 6 with 3. That's because we're given that she has 3 times the amount of marbles that Jax has.
So, the calculation would be 6 * 3 = 18. Therefore, Jax's sister has 18 marbles. The principle used here is multiplication in basic arithmetic. It's a method of scaling quantities based on given ratios or proportions. In this case, the ratio given was '3 times as many'.
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Mamie saved 161.25. This is 25% of the amount she needs to save. How much money does Mamie need to save?
How many 10's are in 1900
explain how a bar model can be used to show a subtraction problem
if the Browns plant 3/16 tomatoes, 1/4cabbage, and 2/8pepper, what fraction of their garden will be unplanted?
Hence, the fraction of their garden will be unplanted is [tex]\frac{5}{16}[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
If the Browns plant [tex]\frac{3}{16}[/tex] tomatoes, [tex]\frac{1}{4}[/tex] cabbage, and [tex]\frac{2}{8}[/tex] pepper.
So,
The unplanted plants are [tex]\frac{5}{16}[/tex].
[tex]\frac{3}{16}+\frac{1}{4}+\frac{2}{8}\\\\=\frac{3+4+4}{16}\\\\=\frac{11}{16}\\\\[/tex]
Then, the fraction of their garden will be unplanted
[tex]\frac{16}{16}-\frac{11}{16}=\frac{5}{16}[/tex]
Hence, the fraction of their garden will be unplanted is [tex]\frac{5}{16}[/tex].
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Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. If all 3 boxes sold for $42, how much money did each box of strawberries cost?
Write an expression that can be used to multiply 6 x 198 mentally.
What's the area of 8.6 and 3.7?
8.6m
◼️◼️◼️◼️◼️ 3.7m
A recipe calls for 1/4 cup of flour. Carter does not have a quarter-cup measuring cup, though he has a measuring cup that holds an eighth of the cup. How can carter measure the flour he needs for his recipe.
Answer:
Carter should measure two times the flour in the cup to obtain the quarter of cup he needs to the recipe.
Step-by-step explanation:
To solve this problem you should use a simple equation. As Carter has a cup that holds an eighth of the cup and he need to add a quarter cup to the recipe he needs to find a factor that multiplied by [tex]\frac{1}{8}[/tex] gives as result the [tex]\frac{1}{4}[/tex] he needs, that is:
1. Let´s name x the factor and we have the following equation:
[tex]\frac{1}{8}*x=\frac{1}{4}[/tex]
2. Solving for x:
[tex]\frac{x}{8}=\frac{1}{4}[/tex]
[tex]x=\frac{8}{4}[/tex]
[tex]x=2[/tex]
The result x=2 means that Carter should measure two times the flour in the cup to obtain the quarter of cup he needs to the recipe.
What is the greatest common factor of 88 and 98