The result of the expression 18(26) using the distributive property is 468
Given the product of integers 18(26), we are to write it using the distributive property.
Given 3 integers A, B and C
A(B+C) = AB + AC
This shows that the variable A was distributed over A and B
Applying this in the given question;
18(26) = 18 (20 + 6)
18(26) = 18 (20) + 18(6)
18(26) = 360 + 108
18(26) = 468
Hence the result of the expression 18(26) using the distributive property is 468
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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.
find the area and perimeter of the shape below. Help plzzz.
If 3/4 gallon of paint covers 1/3 of the wall, then how much paint is needed for the entire wall?
The paint needed for the entire wall is 9/4 gallons.
Given:
The 3/4 gallons of paint are required to cover 1/3 portion of the wall.
To find:
The paint needed for the entire wall.
Solution:
The volume of the paint required to cover 1/3 portion of wall = 3/4
The volume of paint required to cover the entire wall:
[tex]=\frac{3}{4}\times \frac{3}{1}\\\\=\frac{9}{4} gallon[/tex]
The paint needed for the entire wall is 9/4 gallons.
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The area of a rectangle is 384 square feet and the width is 24 feet. Find the length
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:
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 If no other money was deposited into or withdrawn from the account, how much was his initial deposit?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]
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.
The city of Jasper has a water tower that holds 1,325,000 gallons of water. Express this number in scientific notation.
A)
1.325 x 10 to the -6th power
B)
1.325 x 10 to the 6th power
C)
13.25 x 10 to the 5th power
D)
132.5 x 10 to the 4th power
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.
Solve for n.
25n−3=5n+8
the n-3 and n+8 are powers
Final answer:
The equation 25n⁻³ = 5n⁺⁸ suggests an incorrect use of exponents, as no solution exists if we assume the bases should be the same. However, if the bases are 25 and 5, after simplifying, we find that the solution is n = 14.
Explanation:
To solve the equation 25n⁻³ = 5n⁺⁸, we need to use properties of exponents and logarithms. Here are the steps:
Assuming the bases are the same and only the exponents are different, equate the exponents: n - 3 = n + 8.This implies that no solution exists because once the bases are the same, the exponents on both sides must be equal for the equation to hold true, but here they are not.Alternatively, if 25 and 5 are the bases, we can rewrite the equation as (52)n-3 = 5n+8, then applying properties of exponents gives us 52n-6 = 5n+8. Equating the exponents yields 2n - 6 = n + 8, which we can solve for n.
Subtract n from both sides: n - 6 = 8.Add 6 to both sides to isolate n: n = 14.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.
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?
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.
2.5 to the nearest tenth
5000 - 50x = 4800 - 30x
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.
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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What is the pattern for n times 3 plus 1
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.
what time what equal 27
Answer:
boi do you know your multiplication tables!?
Step-by-step explanation:
1 times 27
3 times 9
that's it
125 invitations to 75 invitations
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 need to draw a picture to show 26 divided by3
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.
A particular amusement park ride will make 156 revolution in 180 seconds. At this rate, how many revolutions will it make in 2 minutes?
I do not understand the question. Plz help!
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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John bought z hamburgers at $3 each and paid with a 20 dollar note. How much change did he get?
Fin each unit rate. Determine which is lower.
Ingredient C: 1/4 cup for 2/3 serving
Ingredient D: 1/3 cup for 3/4 serving
The rate of each ingredient is required.
Rate of ingredient C is lower.
The number of cups is [tex]\dfrac{1}{4}[/tex]
The number of servings is [tex]\dfrac{2}{3}[/tex]
The rate for ingredient C is
[tex]\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}\\ =\dfrac{1}{4}\times \dfrac{3}{2}\\ =\dfrac{3}{8}=0.375\ \text{cups per serving}[/tex]
The number of cups is [tex]\dfrac{1}{3}[/tex]
The number of servings is [tex]\dfrac{3}{4}[/tex]
The rate for ingredient D is
[tex]\dfrac{\dfrac{1}{3}}{\dfrac{3}{4}}\\ =\dfrac{1}{3}\times \dfrac{4}{3}\\ =\dfrac{4}{9}=0.44\ \text{cups per serving}[/tex]
Rate of ingredient C is lower.
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a gazelle can jump over a hundred five feet in a single jump how many yards is that