Cindy's shortcut will not work because;
She made a mistake by not multiplying the 2 tens by 3 .
She wants to multiply 3 × 24.Now, for 24; 2 is the tens digit and 4 is the units digit.
This means according to partial products, we can rewrite 24 as; (2 × 10) + (4 × 1)
Now, to multiply 3 by (2 × 10) + (4 × 1) gives the expression;
3[(2 × 10) + (4 × 1)]
Using distributive property to distribute 3 into the bracket, we have;3(2 × 10) + 3(4 × 1)
For her first step, she did; 3 × 4 = 12This corresponds with the solution i got which is 3(4 × 1) = 12.
Now, the second part of the solution is; 3(2 × 10) = 60
But she just used 2 tens which is (2 × 10) = 20.
She now proceeded to add the 2 tens to the 1 ten and 2 ones instead of adding 6 tens to the 1 ten and 2 ones .This means she failed to multiply 2 tens by 3 and that was her mistake.
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the sum of two numbers is 30 and their difference is 12
Final answer:
The student's question involves finding two numbers with a known sum of 30 and a difference of 12. By setting up a system of linear equations and solving them, the two numbers are determined to be 21 and 9.
Explanation:
The student is asked to solve a system of linear equations where two numbers have a known sum and difference. Let's define the numbers as x and y. According to the problem, x + y equals 30, and x - y equals 12. We can solve these equations simultaneously to find the values of x and y.
Adding the two equations: (x + y) + (x - y) = 30 + 12, which simplifies to 2x = 42, so x = 21. Substituting x back into one of the original equations, 21 + y = 30, gives y = 9. Therefore, the two numbers are 21 and 9.
This exercise demonstrates one of the fundamental rules of mathematics used to find unknown quantities. Regardless of the context, such arithmetic rules are universally valid, and misunderstanding these rules, like miscounting goats or students as in the provided examples, leads to errors.
A rectangular flower garden is Samantha backyard has hundred feet around its edge. The width of the garden is 20 feet what is the length of garden
Answer:
The length of rectangular garden is 30 feet.
Step-by-step explanation:
Given a rectangular flower garden is Samantha backyard has hundred feet around its edge. The width of the garden is 20 feet then we have to find the length of garden.
Perimeter of rectangular garden is given which is
Perimeter=100 ft
Width=20 ft
[tex]Perimeter=2(L+W)[/tex]
[tex]100=2(L+20)[/tex]
[tex]50=L+20[/tex]
[tex]L=50-20=30 ft[/tex]
The length of rectangular garden is 30 feet.
A theater can sell 600 tickets for each performance.for one performance,80% of the tickets were sold.For another performance,91% of the tickets were sold.What was the total number of tickets sold for both performances?
For the two performances, a total of 1026 tickets were sold.
To find the total number of tickets sold for both performances, we calculate the number of tickets sold for each performance and then add them together. The theater can sell 600 tickets for each performance.
For the first performance:
80% of 600 tickets = 0.80 * 600 = 480 tickets
For the second performance:
91% of 600 tickets = 0.91 * 600 = 546 tickets
Therefore, the total number of tickets sold for both performances is:
480 tickets (first performance) + 546 tickets (second performance) = 1026 tickets sold in total.
Raul deposited $3000 into a bank account that earned simple interest each year. After 3.5 years, he had earned $262.50 in interest. If no money was deposited into or withdrawn from the account, what was the annual interest rate? Enter your answer in the box.
Answer:
assuming simple interest
I=PRT
I=262.5
P=3000
R=?
T=3.5
262.5=3000(?)(3.5)
262.5=10500?
divide both sides by 10500
0.025=?
2.5%=?
answer is 2.5%
What are the factors of 48?
Rachel and Abby are trying to solve a science homework question. They need to find how much a rock that weighs 6 pounds on Earth would weigh on the moon. They know they can multiply weight on Earth by about 0.16 to find weight on the moon. Select the partial products Rachel and Abby would need to add to find the product of 6 and 0.16. Mark all that apply.
A. 0.22 B.0.6 C.3.65 D.3.6 E0.36
Answer:
Step-by-step explanation:
A,C,E
The partial products method helps break down a multiplication problem that can simplify calculations. In this case, for the multiplication of 6 * 0.16, we would select 0.6 (6 * 0.1) and 0.36 (6 * 0.06) as the partial products.
Explanation:This is a multiplication problem regarding how much a rock would weigh on the moon if it weighs 6 pounds on Earth. To find the weight of a rock on the moon, we multiply the weight on Earth by the lunar weight factor, which is 0.16 in this case. Hence: 6 * 0.16 = 0.96.
Now, when we break down the multiplication using the partial product method, 6 * 0.16 can be viewed as (6*0)+(6*0.1)+(6*0.06), which equals 0 + 0.6 + 0.36. So the correct answers are B.0.6 and E.0.36.
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The velocity of sound through wood at 0 Celsius is 1454 meters per second. How many miles is this per hour
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
A recipe uses 8 3/4 cup of milk for every 3 1/2 cup of oatmeal How many cups of milk are used for each cup of oatmeal
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 the sales tax on the chair shown if the tax rate is 5.75%
what is 20% more than 1.50
why is estimating products of fractions useful
A box is 50 cm long. Which of these is closest to the length of this box in feet? (1 inch = 2.54 cm)
1.02 feet
1.17 feet
1.64 feet
4.15 feet
50 cm is about 19.67 inches that's a foot and 7.89 inches
I think 1.64 feet is the closest length
Jordan has 260 basketball cards.He divides them into 4 equal groups.How many cards are in each group.
15/60 equals 3/4 are the fractions equivalent
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?
I need help on number 3 on my math homework sheet and it's 8,376+blank=45,791 please help me I'm so stuck bye now
PLEASE HELP!!! What are the cross products of the problem of the proportion 12/20=3/5
combine like terms to simplify the expression
Hailey has a summer job at the water slide park. She earns $9.50 an hour as a lifeguard, but never works more than 25 hours in a week. She determines that her salary is modeled by the function s = 9.5h.
What is the domain of this function in this situation?
A) s ≤ 237.50
B) all real numbers
C) {0 ≤ h ≤ 25}
D) {0 ≥ h ≥ 25}
Pls ..who ever answers it right will be marked brainliest...(and first)
the ratio of boys to girls in mr bakers class is 2 to 3 if there are 30 total students in the class how many more girls are in the class than boys.
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
Can you help me understand this question? And what are they looking for?
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)
Can a brick which measures 9cm by 12cm by 25cm pass down a cylindrical pipe of diameter 14cm
What is 32.93 divided by 37
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?
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:
write and solve a problem involving money that can be solved with a mu
ltiplication equation