(x÷(y÷z))÷((x÷y)÷z)
also the variables are not specified.
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.
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?
Combine like terms to simplify the expression:
1.3b+7.8−3.2b
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.
Which ordered pair is a solution to the system of linear equations -4x+y=8 and x-5y=17
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.
a machine takes 2.8 hours to make 9 parts at that rate,how many parts can machine make in 28.0
We know 4 times 9 = 36
So, which of the following statements are also true?
Select all that apply.
9 is a multiple of 36
36 is a factor of 4
9 is a factor of 36
PLEASE HELP ASAP!!!
If you buy 12 pens for 22.20 dollars, how much does each pen cost?
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! :)
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?
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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Use the number line to find 3/4 times 2/5 . Label all the parts above and below.
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?
On the track team, 3/5 of the members are boys. Of these boys, 4/7 are sixth graders. Of the sixth-grade boys on the team, 1/3 are runners. What fraction of the track team are sixth-grade boy runners?
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.
Juan plays little league baseball. In 24 at-bats, he had 8 hits. What is the ratio of at-bats to hits?
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.
Can someone help me in this thanks
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
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.
You buy a pair of jeans at a department store.
Jeans 39.99
Discount -10.00
Subtotal 29.99
Sales tax 1.95
Total 31.94
a. What is the percent of discount to the nearest percent?
The percent of discount is ___%.
b. What is the percent of sales tax to the nearest tenth of a percent?
The percent of sales tax is ___%
c. The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?
The percent of markup is ___%
Answer
25%
Explanation
We know that original price of the jeans is $39.99 and the discount is $10, so we need to find what percentage of $39.99 is $10. To do it we can set up a proportion:
[tex]\frac{39.99---->100}{10---->x}[/tex]
Now we can express our proportion as a fraction and solve for [tex]x[/tex]:
[tex]\frac{39.99}{10}= \frac{100}{x}[/tex]
[tex]x=\frac{10*100}{39.99}[/tex]
[tex]x=25[/tex]
We can conclude that the percent of the discount to the nearest percent is 25%
b.Answer
6.5%
Explanation
Since the sales taxes is applied to the subtotal, this time we need to find what percentage of 29.99 is 1.95. To do it, we are going to set up a proportion, just like before:
[tex]\frac{29.99---->100}{1.95---->x}[/tex]
Now we can express our proportion as a fraction and solve for [tex]x[/tex]:
[tex]\frac{29.99}{1.95}= \frac{100}{x}[/tex]
[tex]x=\frac{1.95*100}{29.99}[/tex]
[tex]x=6.5[/tex]
We can conclude that the percent of sales tax to the nearest tenth of a percent is 6.5%
c.Answer
20%
Explanation
First, we need to find the cost of the Jeans; to do it, we are using the markup formula:
[tex]markup=(\frac{price-cost}{cost} )100[/tex]
We know that the price of the Jeans is $39.99 and the markup is 66%, so let's replace those values in our formula:
[tex]60=(\frac{39.99-cost}{cost} )100[/tex]
[tex]\frac{60}{100} =\frac{39.99-cost}{cost}[/tex]
[tex]0.6=\frac{39.99-cost}{cost}[/tex]
[tex]0.6cost=39.99-cost[/tex]
[tex]0.6cost+cost=39.99[/tex]
[tex]1.6cost=39.99[/tex]
[tex]cost=\frac{39.99}{1.6}[/tex]
[tex]cost=24.99[/tex]
Now that we have the cost now, we just need to use the markup formula again but this time using the price after discount ($29.99).
[tex]markup=(\frac{price-cost}{cost} )100[/tex]
[tex]markup=(\frac{29.99-24.99}{24.99} )100[/tex]
[tex]markup=(\frac{5}{24.99} )100[/tex]
[tex]markup=20[/tex]
We can conclude that the percentage of markup after the discount is 20%
An inequality is a statement that shows that two numbers are equal. TRUE OR FALSE?
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.
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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Describe two different methods you can use to graph the equation y=2x+4.
Which method do you prefer? Explain.
The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are
The correct answer is option C. (−2, −6). Hence the correct option is c.
Given the original point is (−2, 6), let's denote it as (x, y).
Identify the original point.
The original point is (−2, 6), where x = −2 and y = 6.
Reflect the point across the x-axis.
To reflect the point across the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate. This means that if the original y-coordinate is positive, it becomes negative, and if it's negative, it becomes positive.
So, for the reflected point:
[tex]\[ x_{\text{reflected}} = x_{\text{original}} = -2 \]\[ y_{\text{reflected}} = -y_{\text{original}} = -6 \][/tex]
Determine the coordinates of the reflected point.
So, the coordinates of the reflected point are (−2, −6).
Therefore, the correct answer is option C. (−2, −6). Hence the correct option is c.
Complete question:
The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are A.(2, 6) B.(−2, 6) C. (−2, −6) D. (2, −6)
What is the prime factorization of 302 in exponent form?
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
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