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?
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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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
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.
Write an expression that can be used to multiply 6 x 198 mentally.
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.
What is the greatest common factor of 88 and 98
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?
Where can we put parentheses in the following expression to make it equivalent to 2?
60÷(10×3)
or
(60÷10)×3
a car travels 406 miles in 7 hours (with a constant speed). how mush time will it take traveling 435 miles?
What's the area of 8.6 and 3.7?
8.6m
◼️◼️◼️◼️◼️ 3.7m
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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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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george collects 25 baseball cards each month. how many cards will he have at the end of one year?complete the equation to help you solve the problem . 25 × =n
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?
item is mainly priced at $80. It is now priced at a discount 60% off the regular price. What is the price now ?
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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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?
Which statements about the value of the digits in the number 6,666,666 are true?
Choose all answers that are correct.
A.
The digit in the thousands place is the value of the digit in the ten thousands place.
B.
The digit in the hundred thousands place is the value of the digit in the millions place.
C.
The digit in the ten thousands place is 10 times the value of the digit in the thousands place.
D.
The digit in the hundreds place is 60 times the value of the digit in the tens place.
Mamie saved 161.25. This is 25% of the amount she needs to save. How much money does Mamie need to save?
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.
How many sixteenths are in 15/16?
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?
On the last history quiz, Kanesha answered 0.75 of the 20 questions correctly. How many questions did Kanesha answer correctly?
Dakota had a kite with 25 6/12 string.The kite got stuck in a tree.she lost 4 3/12 feet of string trying to free it.how much string does Dakota still have?
Final answer:
After subtracting the lost string (4 3/12 feet) from the initial length (25 6/12 feet) and simplifying, Dakota is left with 21 1/4 feet of kite string.
Explanation:
To calculate the amount of kite string Dakota has left after losing some, we need to perform a subtraction operation involving mixed numbers. Initially, Dakota had 25 6/12 feet of kite string. When Dakota's kite got stuck, she lost 4 3/12 feet of string.
First, let's simplify the mixed numbers by converting them to improper fractions. To do this, multiply the whole number by the denominator and add the numerator. So, 25 6/12 becomes (25 × 12) + 6 = 300 + 6 = 306/12. Similarly, 4 3/12 becomes (4 × 12) + 3 = 48 + 3 = 51/12.
Now subtract the lost string from the initial length: 306/12 - 51/12 = 255/12. Finally, we convert this back to a mixed number by dividing the numerator by the denominator: 255 ÷ 12 = 21 with a remainder of 3, which gives us 21 3/12 feet of string, or 21 1/4 feet when simplified.
Therefore, Dakota now has 21 1/4 feet of kite string left.
A computer software store is having a sale. The table shows the regular price r and the sale price s of various items. Which formula can be used to calculate the sale price?
Final answer:
The formula to calculate the sale price of items on sale is s = r - (r × discount rate), where 's' is the sale price, 'r' is the regular price, and the discount rate is expressed as a decimal. An example illustrates the process for a $100 item with a 20% discount, resulting in a sale price of $80.
Explanation:
Generally, the sale price can be calculated by subtracting the discount amount from the regular price. The discount amount itself is often a percentage of the regular price. Therefore, if the discount rate is given as a percentage, the formula to find the sale price could be expressed as s = r - (r × discount rate). This is a simplification and assumes that the discount rate needs to be converted from a percentage to a decimal form before applying.
For example, if an item's regular price is $100, and there is a 20% discount, the calculation would be: s = 100 - (100 × 0.20) = $80. Hence, the sale price is $80. This formula is crucial for both customers and businesses to understand how much they save or earn respectively on sale items.
1.2and 1.4 which one bigger
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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Peter flips a coin 50 times. What is the theoretical probability of flipping a heads?
How many 10's are in 1900