Explain how you can use doubles when multiplying with4 to find 4x8?
To multiply 4 by 8 using doubles, you double the numbers sequentially (4 to 8, 8 to 16, 16 to 32) to reach the desired result of 32. Moreover, when comparing the area of two squares, where one has a side length that is double the other, the area of the larger square is four times that of the smaller square.
Explanation:To multiply 4 by 8 using doubles, you can double 4 to get 8, and then double 8 to get 16, and then double again to get 32. So essentially, you've found that 4 x 2 = 8, then took that result and found 8 x 2 = 16, and finally, you took that result and found 16 x 2 = 32, which is the same as 4 x 8. This method of doubling allows you to use simpler multiplication facts you may already know well, like multiplying by 2, to find the answer to more complicated problems.
In the context of scale factors and area comparisons, if you have a square with a side of 4 inches, and another square with sides twice as long (4 inches x 2 = 8 inches), the area of the second square would be 8 inches x 8 inches, which is 64 square inches. Compared to the first square, which has an area of 4 inches x 4 inches (16 square inches), the second square is larger by a factor of four (64 / 16 = 4). This demonstrates how the area increases by the square of the scale factor, not just by the scale factor itself.
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Find the reciprocal of 7\8
The fraction of the given rational number 7/8 is 8/7.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
It can be written in the form of p : q, which is equivalent to p / q.
The reciprocal of a fraction is defined as 1/fraction.
The given rational number is :
7/8
The reciprocal of it is written as,
1/(7/8) = 8/7
Hence,
The reciprocal of 7/8 is equal to 8/7.
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The reciprocal of 7/8 is 8/7, which is found by flipping the numerator and denominator of the original fraction.
This question demands basic understanding of fractions and reciprocals along with the related concepts.
To find the reciprocal of a fraction, you simply flip the numerator and denominator. In this case, the reciprocal of 7/8 is 8/7. When we cross multiplying both sides, we are actually finding a value that can prove the two fractions are equivalent.
Multiplication and division come into play when we think of a reciprocal, which is essentially the result of dividing 1 by the number or flipping the fraction.
Knowing the reciprocal concept helps in various areas like simplifying complex fractions or dividing fractions, where you multiply by the reciprocal.
Therefore, as per the above explaination, the correct answer is 8/7.
what is 3a minus 5 equals -14
marcia puts 2 slices of cheese on each sandwich. she makes 4 cheese sandwich. how many slices of cheese does marcia use in all?
Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 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:
8.5%✅
Step-by-step explanation:
I took a K12 2.08 Quiz: Simple Interest, so these are confirmed correct answers on my side, it could be different for other platforms.
An account with an initial balance of $5000 earns 5% interest for 3.5 years. What is the ending balance?
Enter your answer in the box
$5875
Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest. No money was deposited into or withdrawn from the account. What was the annual interest rate?
Enter your answer in the box.
8.5%✅
Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closing the account. No money was deposited into or withdrawn from the account.
How many years was the money in the account?
Round your answer to the nearest whole year.
Enter your answer in the box.
4 years✅
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after 3 years?
Round your answer to the nearest cent. Enter your answer in the box.
$329.18✅
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in interest on the account. No other money was deposited into or withdrawn from the account. How much was her initial deposit?
Enter your answer in the box.
$160✅
Have a wonderful day, and hope it helped.
I do not understand the question. Plz help!
16 is 20% of what number?
What is the highest unit price per kazoo if 25 are $10, 50 are $18.50 and 80 are $27.20
Answer:
$0.34
Step-by-step explanation:
Write a problem you can use to make a table strategy to solve then solve the problem
Answer:
A Cadillac travels at 70 mph. A Buick travels at 60 mph. How long does it take to a Cadillac to catch up the Buick that started travelling one hour earlier?
Step-by-step explanation:
A Table strategy needs an understanding of the problem. In addition to this strategy provides a clear vision of the problem.
Let's write it in a row, for the Cadillac. The second one for the Buick.
Plugging in values, here it is a Table like
[tex]\left\{\begin{matrix}Hour/Distance &1&2&3&4&5&6 \\ Cadillac&0&70&140&210&280&350 \\ Buick&60&120&180&240&300&360 \end{matrix}\right.[/tex]
Since the smallest distance between them is given in 6 hours, (10 miles). This is clearly the answer.
Each movement can be described as a function the Cadillac
y=70x
And the Buick: y=60x
And plugging values for x, you can test it alternatively than using table strategy.
Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in interest on the account. If no other money was deposited into or withdrawn from the account, how much was his initial deposit?
we know that
The simple interest formula is equal to
[tex]I=Prt[/tex]
where
P is the Principal amount of money to be invested
I is the amount of money in interest
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=2\ years\\ I=\$14.65\\r=0.025[/tex]
substitute in the formula above and solve for P
[tex]14.65=P(0.025)(2)[/tex]
[tex]P=14.65/[(0.025)(2)][/tex]
[tex]P=\$293[/tex]
therefore
the answer is
[tex]\$293[/tex]
Gavin's anemometer measures the wind speed at 44.14 kilometers per hour. 4 times faster than the wind speed 5 hours ago.
question: what was the wind speed 5 hours ago?
A new pencil weighs 25 grams. After the pencil has been used for a while, it weighs 2 decagrams. How many grams of the pencil have been used up. plz explain how to solve.
John bought z hamburgers at $3 each and paid with a 20 dollar note. How much change did he get?
Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes, and a watermelon that weighed 6.78 pounds. What is the total weight, in pounds, of the fruit that Shawn bought last week?
Total weight, in pounds Shawn bought is 10.54 pounds
Given that;
Amount of banana bought by Shawn = 2.26 pound
Amount of grapes bought by Shawn = 1.5 pound
Amount of watermelon bought by Shawn = 6.78 pound
Find:
Total weight, in pounds Shawn bought
Computation:
Total weight, in pounds Shawn bought = Weight of banana + Weight of grapes + Weight of watermelon
Total weight, in pounds Shawn bought = 2.26 + 1.5 + 6.78
Total weight, in pounds Shawn bought = 10.54 pounds
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Use operations of decimal, fraction, and percent numbers and your models from Part (b) to solve the following application problems. In your final answer, include all of the necessary calculations.
Equation: $157.30 × 10%
3. A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
To find the new total after a 10% discount on a $157.30 dinner bill, you multiply $157.30 by 0.10 to get the discount amount of $15.73. Then subtract the discount from the original bill to get the new total, which is $141.57.
Explanation:To calculate the new total after applying a 10% discount to a $157.30 dinner bill, we first need to find the amount of the discount. To do this, we convert the percent to a decimal by dividing by 100. Therefore, 10% as a decimal is 0.10. Next, we multiply this decimal by the total bill amount.
$157.30 × 0.10 = $15.73
This value represents the amount of discount the family will receive. To find the new total, we simply subtract this discount from the original total bill amount.
$157.30 - $15.73 = $141.57
Thus, the new total after applying the 10% discount is $141.57.
2.5 to the nearest tenth
What is the pattern for n times 3 plus 1
John says that if one side of an inequality is 0, you don't have to reverse the inequality symbol when you multiply or divide both sides by a negative number. Find an inequality that you can use to disprove John's statement. Explain your thinking.
The area of a rectangle is 384 square feet and the width is 24 feet. Find the length
Tara has $2,000 in her savings account. David has one-tenth as much as Tara in his savings account. How much does David have in his savings account?
David has $200 in his saving account.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given, Tara has $2,000 in her savings account.
And David has one-tenth as much as Tara in his savings account.
To find the amount of David's saving account:
We find the 1/10 part of 2000,
Amount of David's saving account = tenth part of Tara's amount
= 1/10 x 2000
= $200
Therefore, David have $200.
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damon kayaks on a river near his home. he plans to kayak a total of 6.4 miles. Damon kayaks at an average speed of 1.6 miles per hour. How many hours will it take Damon to kayak the 6.4 miles?
Damon will need 4 hours to kayak 6.4 miles on the river near his home, given his average speed of 1.6 miles per hour.
To calculate how many hours it will take Damon to kayak a total of 6.4 miles if his average kayaking speed is 1.6 miles per hour. To solve this, we can use the formula for time which is distance divided by speed. In this case, the distance is 6.4 miles and the speed is 1.6 miles per hour. Therefore:
Time = Distance \/ Speed = 6.4 miles \/ 1.6 miles per hour = 4 hours.
It will take Damon a total of 4 hours to kayak the 6.4 miles on the river near his home.
find the area and perimeter of the shape below. Help plzzz.
use the simple interest formula to find the ending balance
$4000 at 6.5% for 5 years
i took the test it is actually 5300.00
The product of r and 9 divided by 2 is equal to 27 what is the value of r?
Answer: r = 6
Step-by-step explanation: We would start by making an equation for this which would be 9r / 2 = 27. We need to get r by itself so we first multiply 2 on both sides by 2 to get rid of that pesky 2.
[tex]\frac{9r}{2}[/tex] * 2 = 27 * 2
9r = 54
Now we have to get rid of the 9 and since this is multiplication, we have to divide 9 on both sides.
[tex]\frac{9r}{9}[/tex] = [tex]\frac{54}{9}[/tex]
This would give us r = 6.
The value of r is found by setting up an equation from the given statement, solving which gives r = 6.
To solve for the value of r when the product of r and 9 divided by 2 is equal to 27, we can set up the following equation: (r imes 9) / 2 = 27. Multiplying both sides by 2 to eliminate the denominator gives us r imes 9 = 54. We then divide both sides by 9 to solve for r, resulting in r = 6.
A tool set on sale for $424.15. The original price of the tool set was $4.99. What percent of the original price is the sale price?
An “A” train leaves a subway station every 12 minutes. An “E” train leaves every 9 minutes. If both trains just left the station on parallel tracks, when will both leave the station together again?
A. in 108 minutes
B. in 36 minutes
C. in 72 minutes
D. in 24 minutes
B. In 36 minutes because 12×3=36 and 9×4=36 and this is the first number they share.
The A train and the E train will both leave the station together again in 36 minutes. Hence the correct option is B.
To find out when both the A train and the E train will leave the station together again, we need to calculate the Least Common Multiple (LCM) of their departure intervals, which are 12 minutes for the A train and 9 minutes for the E train. To find the LCM, we list multiples of each:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108...
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108...
We can see that the common multiples of 9 and 12 are 36, 72, and 108. The smallest of these is 36 minutes, so that is the first time they will both leave the station together after initially departing at the same time.
Therefore, the correct answer is B. in 36 minutes.
Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer.
125 invitations to 75 invitations
the Marriott rivercenter in San Antonio Texas has a main roof height of 441 feet. with the additional height of antennas the structure is 546 feet tall. What is the height of the antennas
The height of the antennas on the Marriott River center is 105 feet, which is calculated by subtracting the main roof height (441 feet) from the total structure height (546 feet).
To calculate the height of the antennas on the Marriott River center in San Antonio, Texas, we need to subtract the main roof height from the total structure height. The main roof height is reported as 441 feet, while the overall structure height, including antennas, is 546 feet.
Here's the step-by-step calculation:
Write down the total structure height: 546 feet.Write down the main roof height: 441 feet.Subtract the main roof height from the total structure height to get the antenna height: 546 feet - 441 feet = 105 feet.Thus, the height of the antennas is 105 feet.
5000 - 50x = 4800 - 30x