The tick mark labeled 'm' in a measurement can be considered a fraction over 1, and the unit 'meters' cancels out when present in both the numerator and denominator. This concept is also applied in metric unit conversions, where equivalent quantities yield a value of 1 after simplification.
Explanation:Fractions can often be used to express measurements, including those with units like meters (m). In the question provided, the measurement 3.55 m could be considered as a fraction by placing it over 1 (3.55 m/1). The abbreviation for meters appears in both the numerator and the denominator; hence, they cancel out in this fraction representation, which does not affect the measurement's value.
When performing unit conversions, the same concept is applied. For example, 1 m is equivalent to 100 cm, thus forming a fraction with 100 cm in the numerator and 1 m in the denominator (100 cm/1 m) would equate to 1 after canceling 'm' out since they represent the same length but in different units. This technique is particularly useful when converting between metric units, such as millimeters (mm) and meters (m), where the prefix 'milli-' means 1/1000, allowing us to rewrite the fraction with 1000 mm in the numerator (1000 mm/1m).
In the context of the provided example, the expression 0.00675 (0.15)m over 0.00300 (0.10)m can be simplified by canceling equivalent terms that appear both in the numerator and the denominator.
Michael drinks 355 milliliters of orange juice and puts 6 centiliters of syrup on his pancakes for breakfast. How many milliliters of liquid did he consume?
Answer:
415 milliliters
Step-by-step explanation:
Given,
The quantity of orange juice she consumes = 355 milliliters,
And, the quantity of syrup she consumes = 6 centiliters,
Since, 1 centiliters = 10 milliliters
⇒ The quantity of syrup she consumes = (10×6) milliliters = 60 milliliters
Thus, the total liquid she consumed = The quantity of orange juice she consumes + the quantity of syrup she consumes
= 355 + 60
= 415 milliliters
a world map has a scale of 1/4th of an inch equals 250 miles. You measure the distance between New York, NY and Los Angeles, California and it equals 3 inches. What is the real distance between New York and LA?
A. 2,500 mi
B. 2,750 mi
C. 2,800 mi
D. 3,000 mi
E. 3,250 mi
How would I complete this application?
What is the solution for the system of equations?
Use the substitution method to solve.
y=5−3x5x−4y=−3
Answer:
A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwiches. Last month, the cafe sold $4524 worth of sandwiches. The cafe sold a total of 925 sandwiches.
How many turkey sandwiches did they sell?
Enter your answer in the box.
It is 523 not 412
Sarah is making flower bouquets that she will put in 10 vases. She will put 15 roses and some lilies in each vase. Which expressions represent the total number of flowers Sarah will put in all the vases? Choose all answers that are correct.
Answer:
150+10x
Where, x = number of lilies
Step-by-step explanation:
Lee has saved 65% of the money she needs to buy a pair of jeans that cost $52. How much money does lee have, and how much more money does she need to buy the jeans?
What is the product?
0.478 x (−0.2)
last year, 700 students attended walnut Springs middle school. this year there are 665 student. use the equation 700-d=665 to find detailed the decrease in the number of students from last year to this year
Marvin is trying to finish 1/2 of his test every 2/3 hour. How many hours will it take Marvin to complete his whole test
It will take Marvin 4/3 hours to complete his entire test.
Time taken to complete 1/2 of test = 2/3 hours
The total fraction of the test can be represented as 1
Therefore,
If 1/2 of test = 2/3 hours
1 of test = x
We can solve for x using cross multiplication :
1/2x = 2/3
Multiply both sides by 2 to isolate x
(1/2x × 2) = (2/3 × 2)
x = 4/3 hours
The number of hours it will take to complete the whole test is 4/3 hours
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Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y? 3.5x + 4y ≥ 45, y ≥ 11.25 3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375 3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25 3.5x + 4y ≤ 45, y ≥ 10.375
Answer:
The correct option is 3.
Step-by-step explanation:
Let the number of gallons of gas she bought at the first station be x and the number of gallons of gas she bought at the second station be y.
It is given that the first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.
Total cost is defied as
[tex]T=3.50x+4.00y[/tex]
Alina spent no more than $45 on gas for a road trip.
[tex]T\leq 45[/tex]
[tex]3.50x+4.00y\leq 45[/tex] .... (1)
If she bought all number of gallons from the second station, then
[tex]4y\leq 45[/tex]
Divide both sides be 4.
[tex]y\leq 11.25[/tex]
Number of gallon can not negative.
[tex]0\leq y\leq 11.25[/tex] .... (2)
Inequality (1) relates the number of gallons of gas and inequality (2) represent all the possible values of x.
Therefore, the correct option is 3.
Answer:
3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25 (c)
There are 21 students in one class and 19 in another. The lab has 34 computers. How many students will need to share a computer when both classes are in the lab at the same time ?
A total of 6 students from the combined classes of 21 and 19 students will need to share computers in a lab with 34 computers available.
The question involves determining how many students will need to share a computer when both classes with 21 and 19 students, respectively, are in a computer lab with 34 computers at the same time. To solve this, you can add the number of students in both classes to get the total number of students, and then subtract the number of available computers to find out how many students will need to share.
Adding the two classes together, 21 + 19, we get a total of 40 students. Since there are 34 computers, we subtract this from the total number of students: 40 - 34 equals 6. Therefore, 6 students will need to share a computer.
The price of a pair of pants is $29.95 and the sales tax is 5%.
What is the total cost of the pair of pants?
Please help me I NEED HELP BAD
To find the total cost of a pair of pants priced at $29.95 with a 5% sales tax, calculate $29.95 multiplied by 0.05 for the tax amount, add that to the original price, and the total cost including tax is $31.45.
To calculate the total cost of a pair of pants with a sales tax, you first need to determine the amount of tax to be added to the price. Here's how you can do it:
Convert the sales tax rate from a percent to a decimal by dividing by 100. For a 5% sales tax, you get 0.05.
Multiply the price of the item by the decimal sales tax rate to find the amount of sales tax. So, $29.95 imes 0.05 = $1.4975.
Round the sales tax to the nearest cent, giving us $1.50.
Add the sales tax to the original price of the item. Therefore, $29.95 + $1.50 = $31.45, which is the total cost with tax.
what is 2 1/2 divided by 1/3
The value of the 2¹/₂ divided by 1/3 is equal to 15/2, or 7¹/₂
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
So, we can rewrite the expression as:
2¹/₃ ÷ 1/3 = (5/2) ÷ (1/3)
Now, we multiply the first fraction by the reciprocal of the second fraction:
(5/2) ÷ (1/3) = (5/2) × (3/1)
Multiplying the numerators and denominators, we get:
(5 × 3) ÷ (2 × 1) = 15/2
Therefore, 2¹/₂ divided by 1/3 is equal to 15/2, or 7¹/₂.
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Can you answer #1.Please due tomorrow 11-5-16
Second grade homework easy!!!! Plz answer 15 points
Thx
Charlie and 10 friends are planning for a pizza party. They purchased 3 quarts of milk. If each glass holds 8oz how much milk will be left over?
If h(x) = −2x − 10, find h(−4). −2 −18 −3 −16
Answer:
The correct option is (a) i.e.
h(-4) = -2
Step-by-step explanation:
The mathematical expression is given as :
[tex]h(x)=-2x-10[/tex]......(1)
Where
h(x) is dependent on x
We need to find the value of h(x) at x = -4 . Putting the value of x in equation (1) we get :
[tex]h(-4)=-2(-4)-10[/tex]
[tex]h(-4)=8-10[/tex]
h(-4) = -2
The value of h(-4) is -2. So, the correct option is (a). Hence, this is the required solution.
The ratio of the number of red marbles to the number of green marbles in a bag is 2:3. The ratio of the number of green marble to the number of blue marbles is 9:4 There are 76 marbles in the bag.
a) Find the number of red marbles in the bag.
b) Find the number of green marbles in the bag.
C) Find the number of blue marbles in the bag
///I already did a and b can you guys help me with c///
at Jared's last tennis match, he completed 65% of his first serves. if he attempted 80 first serves last match, how many did he complete?
how to solve -9 2/7 - (-10 3/7)
3.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
The velocity of sound through wood at 0 Celsius is 1454 meters per second. How many miles is this per hour
|2d-3n|-4
If n=5 and d=3
Answer:
5
Step-by-step explanation:
A number has the digit 8 and 4 .to the nearest 10.the number round to 50.what is the number?
Given that digits 8 and 4 makes up a number, and when rounded, it gives us 50, the number would be: 48.
Recall:
When rounding a number, if the number close to the number you want to round is more than 4, you round up. For example, rounding 39 to nearest ten, 9 is more than 4. Therefore, we will round up 39 as 40.If a number consist of 8 and 4, and we are to round the number so it gives us 50, the number would be: 48:
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Ethan thinks that 5(13) can be found by adding 50+15
A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam. What is true about the number of cups of blueberries in each jar?
Answer:
1.71 cups
Step-by-step explanation:
A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam.
We solve this problem by dividing 12 by 7 to get how many cups of blueberries use to make 1 jar of blueberry jam.
therefore, [tex]\frac{12}{7}[/tex] = 1.71 cups of blueberries.
In each jar 1.71 cups of blueberries would use.
Theo needs to measure 3/4 cups of water. He has a 1/8 cup measuring cup. How many 1/8 cups are in 3/4 cup?
The number of 1/8 cups in 3/4 cup is given by the equation A = 6 cups
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of cups be represented as A
Now , the equation will be
The amount of the bigger cup = 3/4
The size of the measuring cup = 1/8
So , the number of cups A = amount of the bigger cup / size of the measuring cup
Substituting the values in the equation , we get
The number of cups A = ( 3/4 ) / ( 1/8 )
On simplifying the equation , we get
The number of cups A = ( 3/4 ) x 8
The number of cups A = 3 x 2
The number of cups A = 6 cups
Therefore , the value of A is 6 cups
Hence , the number of cups is 6 cups
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use place value to find the product
Answer:
a.350
b.240
c.210
d.270
Step-by-step explanation:
We have to find the product of given number using place value.
a.[tex]5\times 70[/tex]
Place of 7 in 70 =tens
[tex]5\times 7\; tens =35 \;tens[/tex]
[tex]5\times 70=35\times 10=350[/tex]
c.[tex]7\times 30[/tex]
Place of 3 in 30 =Tens
[tex]7\times 3 \;tens=21 \;tens[/tex]
[tex]7\times 30=21\times 10=210[/tex]
b.[tex]60\times 4[/tex]
Place of 6 in 60=Tens
[tex]6 \;tens\times 4=24 \;tens[/tex]
[tex]60\times 4=24\times 10=240[/tex]
d.[tex]90\times 3[/tex]
[tex]9\;tens\times 3=27\;tens[/tex]
[tex]90\times 3=27\times 10=270[/tex]
Andrea and 2 friends are playing a game of dominoes. there are 28 dominoes in the set. Andrea wants each player to receive the same number of dominoes. can she divide them equally among the 3 players? why or why not?
Kelly’s baby brother weighs 7.71 pounds. Her newborn kitten weighs 0.24 pound. How much more does Kelly’s baby brother weigh than her kitten?
A rate that describes how much smaller or larger the scale drawing is than the real object
how to do 40% of 45.explain your answer