By multiplying the fractions 3/5, 4/7, and 1/3, which represent the boys, sixth graders, and runners respectively, we find that 4/35 of the track team are sixth-grade boy runners.
To find the fraction of the track team that consists of sixth-grade boy runners, we'll need to multiply three fractions that represent different parts of the team:
The fraction of the team that are boys: 3/5
The fraction of these boys that are sixth graders: 4/7
The fraction of the sixth-grade boys that are runners: 1/3
Now, multiplying these numbers expressing common fractions gives us:
(3/5) × (4/7) × (1/3) = 12/105 = 4/35.
So, 4/35 of the track team are sixth-grade boy runners.
Karita had 138.72 in her checking account. She wrote checks for 45.23 and 18.00. Then she made a deposit of 75.85 into her account. What's the best estimate for how much money is in karitas account now?
Answer:
The best estimates is $150
Step-by-step explanation:
The initial value in her account was 138.72
She wrote checks, so this are debits. So, you have to substract the values of the checks from the initial number.
[tex]138.72-45.23-18=75.49[/tex]
Then she made a deposit of 75.85, a deposit is credit value, so you have to add this number to the account value.
[tex]75.49+75.85=151.34[/tex]
Estimated ammount of money on karitas account is $150.
dimensions definition
Final answer:
Dimensions in physics are the measurable extents that define an object or quantity, such as length for one-dimensional measures and volume for three-dimensional space. Length is typically measured in meters, while volume is a product of lengths and measured in cubic meters. Dimensional analysis is used for unit conversion and to ensure equations are dimensionally consistent.
Explanation:
The term dimensions in the context of physics refers to the measurable extents of any object or physical quantity, which are necessary for defining that quantity. Length is a one-dimensional measure, representing the extent of an object along its greatest dimension, typically measured in meters or its derived units such as kilometers (km) or micrometers (μm). On the other hand, volume is a three-dimensional measure of the space occupied by a sample of matter, represented as the product of lengths in each dimension and has the dimension L3. Dimensional analysis is a method in physics for converting between units using conversion factors to ensure that equations and calculations are dimensionally consistent. Physical quantities must align in dimension in any mathematically correct equation, otherwise known as having dimensional consistency, meaning each term within an equation must have the same dimensional expression.
Write an expression that represents the sum of b and 5 times 2
The mathematical expression for the sum of b and 5 times 2 is b + (5 × 2).
The expression that represents the sum of b and 5 times 2 is written as b + (5 × 2). The parentheses indicate that the multiplication should be done first, resulting in 5 times 2, which equals 10. Then, you add the value of b to this result. Therefore, the complete expression evaluates to b + 10.
It is important to understand the role of parentheses in mathematical expressions. Parentheses define the order of operations, ensuring that operations inside them are carried out first. Without the proper use of parentheses, expressions can yield different results.
Sam will buy apples that cost $0.89 per pound. The total cost of the apples is proportional to the number of pounds he buys. Write an equation to model the situation . Let c = total cost and n = number of pounds.
in 2011, the population of Laos was about 6.586 x 10 to the 6 people. what is the number written in standard notation?
The population of Laos in 2011, given in scientific notation as 6.586 x 10 to 6, is equivalent to 6,586,000 in standard notation.
Explanation:The question is asking to convert the population of Laos in 2011, which is given in scientific notation, into standard notation. The scientific notation given is 6.586 x 10 to the 6. To convert this to standard notation, we simply move the decimal point 6 places to the right, as the exponent of 10 is positive. This results in the number 6,586,000; which is in standard notation.
This process of conversion is part of a larger mathematical concept known as scientific notation, which is commonly used to express very large or very small numbers.
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A piece of ribbon is cut into two shorter pieces in the ratio 2.8 : 1.25. The difference in the length of the two shorter pieces is 80.6 centimeters. What is the length of the original piece of ribbon?
Nathaniel measured the height of one shelf on his bookcase. He wants to know which books will fit on the shelf. The shelf is 22.86 sentimeters tall. He measured it again with an inch ruler. The shelf is 9 inches tall.
PART A - Wrte an equatioon you could use to find the number of centimeters in 1 inch.
PART B - Solve the equation you wrote in PART A. Show your work.
PART C - The top shelf of Natheniel's bookcase is 12 inches tall. How many centimeters tall is the top shelf?
Factor completely 81a^2+36a+4
The answer is (9a+2)(9a+2) or you can write it like the picture
write to explain how you can break apart 16×34 into four simpler multiplication problems.
The expression written in 4 simplified multiplication is
10×30 + 10×4 + 6×30 + 6×4. It is written using the distributive property.
What is multiplication?Multiplication is the process of adding a number up to a given number.
The given expression is 16 × 34.
Simplify the expression as follows:
16 × 34
= ( 10 + 6 ) × (30 + 4)
= 10×30 + 10×4 + 6×30 + 6×4
Hence, the expression written in 4 simplified multiplication is
10×30 + 10×4 + 6×30 + 6×4.
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The sum of two numbers is 144 and the difference is 81. What are the two numbers?
An inequality is a statement that shows that two numbers are equal. TRUE OR FALSE?
(x÷(y÷z))÷((x÷y)÷z)
also the variables are not specified.
On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?
Answer:
Yes, the answer is 4 playlist
Step-by-step explanation:
12 and 40 need to be divided, and get an answer like this 3 not this 5.3. The Maximum, means most.
2 can you?
3 can you?
10 can you?
Hope this helps!
Have a nice rest of your day! :)
There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall?
So the problem is p___853
A. <
B. >
C. underlined <
D. underlined >
Answer:
less because cant be more than u know 835
Step-by-step explanation:
btw p stand for people
Sara has to pay $10.75 a month for gym membership but will be billed yearly.how much will she pay in 5 1/2 years.
Juan plays little league baseball. In 24 at-bats, he had 8 hits. What is the ratio of at-bats to hits?
Combine like terms to simplify the expression:
1.3b+7.8−3.2b
A baker was going to arrange 432 deserts into rows of 28 the baker divides 432 by 28 and gets a quotient of 15 with a remainder of 12 explain what the quotient and remainder represent
A pitcher contains 2/3 quart of water. If an equal amount of water is poured into 6 glasses how much water will each glass contain?
Answer:
1/ 9 quart of water or 0.11 quart
Step-by-step explanation:
A pitcher contains= [tex]\frac{2}{3}[/tex] quarts of water
An equal amount of water is to be poured into 6 glasses
We have to find the amount of water in each glass
Hence, amount of water in each glass = [tex]\frac{amount of water }{number of glasses}[/tex]
Hence, amount of water in each glass = [tex]\frac{[tex]\frac{2}{3}[/tex] }{6}[/tex]
Amount of water in each glass = [tex]\frac{2 }{18}[/tex]
Amount of water in each glass = [tex]\frac{1 }{9}[/tex]
Hence, amount of water in each glass = 0.111 quart
What is the prime factorization of 302 in exponent form?
Phil has 189 stamps to put into his stamp album he puts the same number of stamps on each of 9 pages. how many stamps does Phil put on each page?
Describe two different methods you can use to graph the equation y=2x+4.
Which method do you prefer? Explain.
a linear equation inn two different unknowns x and y is called a system of equation true or false
Use the number line to find 3/4 times 2/5 . Label all the parts above and below.
is 3x-5+y=2y-4 linear if so write the equation in standard form and give the values of A B and C
Final answer:
The given equation is linear and can be written in standard form as 3x - y = 1, where the coefficients are A = 3, B = -1, and C = 1.
Explanation:
The equation 3x - 5 + y = 2y - 4 is indeed linear. To write it in standard form, we combine like terms and move all terms involving variables to one side of the equation and the constant terms to the other side. Subtracting y from both sides and adding 5 we get 3x - y = 1. Here, A is 3, B is -1, and C is 1.
There are 26.2 miles in a marathon. Enter the number of miles using a mixed number in simplest form.
Answer:
[tex]26\frac{1}{5}[/tex] miles.
Step-by-step explanation:
We have been given that there are 26.2 miles in a marathon. We are asked to find the number of miles using a mixed number in simplest form.
First of all, we will convert our given number as a fraction by multiplying and dividing by 10 as:
[tex]26.2\times\frac{10}{10}=\frac{262}{10}[/tex]
[tex]\frac{262}{10}=26\frac{2}{10}[/tex]
[tex]26\frac{2*1}{2*5}[/tex]
[tex]26\frac{1}{5}[/tex]
Therefore, the number of miles in mixed number would be [tex]26\frac{1}{5}[/tex] miles.
Jack and jill painted one-half of Their bedroom in three-fourths of an hour. At this rate, how long would it take them the paint the entire room
a machine takes 2.8 hours to make 9 parts at that rate,how many parts can machine make in 28.0
Which ordered pair is a solution to the system of linear equations -4x+y=8 and x-5y=17
Can someone help me in this thanks