In a power, the number used as a factor is called the base.
A power is an expression that represents repeated multiplication of the base by itself. It consists of a base raised to an exponent.
The base is the number that is being multiplied, and the exponent represents the number of times the base is multiplied by itself.
For example, in the expression 2³, the base is 2. It indicates that 2 is being multiplied by itself 3 times.
So, in a power, the base is the number used as a factor.
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The drop in temperature from 6:00A.M to 12:00 PM was 14 degrees Fahrenheit. What was the average hourly drop in temperature for that time frame
There was a 2.3° Fahrenheit average hourly drop in temperature for that time frame.
What is unit rate?A unit rate is defined as a ratio that compares the first quantity to one unit of the second quantity. The two quantities being compared have different units.
Given that, the drop in temperature from 6:00 A.M to 12:00 PM was 14 degrees Fahrenheit.
We need to determine the average hourly drop in temperature for that time frame,
So, the numbers of the hour from 6:00 A.M to 12:00 PM = 12-6 = 6 hours
Therefore, there was a fall of 14° Fahrenheit in 6 hours,
i.e. 6 hours = 14° Fahrenheit
So, 1 hour = (14/6)° Fahrenheit
= 2.3° Fahrenheit
Hence, there was a 2.3° Fahrenheit average hourly drop in temperature for that time frame.
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Marcos earned $300 mowing lawns this month of his earnings he plans to spend 18% repair in lawn equipment put 20% of savings and use 35% for canvas he will spend the rest how much will Marcos have left to spend
Marcos will have $81 left to spend after allocating certain percentages of his $300 earnings to lawn equipment repairs, savings, and canvas.
Explanation:Marcos earned $300 mowing lawns this month. According to the given percentages, Marcos will allocate his earnings in the following manner:
18% for repairing lawn equipment20% into savings35% for canvasTo calculate the remaining amount that Marcos will have to spend, we need to sum up the allocated percentages and subtract from 100%:
Remaining percentage = 100% - (18% + 20% + 35%)
Remaining percentage = 100% - 73% = 27%
Now we can find the amount corresponding to 27% of his earnings:
Remaining amount to spend = 27% of $300
Remaining amount to spend = 0.27 x $300 = $81
Therefore, Marcos will have $81 left to spend after he has allocated money for repairs, savings, and canvas.
Find an equation for y in terms of x if y is directly proportional to y. X = 4 Y = 8
Arlene wants to create a scale drawing of the poster as in: 9 inches and 6 inches.What are the dimensions of the poster at one-third its current size?
Answer:
the answer is
Step-by-step explanation:
2/3
Gemma spends 4 hours each week playing soccer and 3 hours each week practicing her clarinet. Write the ratio of hours spent practicing clarinet to hours spent playing soccer three different ways.
Bella is planning to write in a journal. Some pages will have one journal entry on them, and other pages will have two journal entries on them. If Bella wants to make 10 entries, how many different ways can she write them in her journal?
Final answer:
Bella can write her 10 journal entries in 6 different ways by partitioning the number 10 into ones and twos and considering the different combinations of pages that can have one or two entries.
Explanation:
This problem can be solved by considering the journal entries as distinct objects and the pages as slots that can contain either one or two entries. Therefore, we need to find the number of partitions of the number 10 into ones and twos, which are the number of ways to write 10 as the sum of ones and twos.
To solve this problem systematically, we can start with the case where all 10 entries are on separate pages (10 ones), and then reduce the number of ones by two and increase the number of twos by one until we can no longer do so.
For example, the different ways could be (with '1' representing a single entry on a page and '2' representing two entries on a page):
1+1+1+1+1+1+1+1+1+1 (10 ones, 0 twos)
2+1+1+1+1+1+1+1+1 (8 ones, 1 two)
2+2+1+1+1+1+1+1 (6 ones, 2 twos)
2+2+2+1+1+1+1 (4 ones, 3 twos)
2+2+2+2+1+1 (2 ones, 4 twos)
2+2+2+2+2 (0 ones, 5 twos)
Therefore, Bella can write her 10 journal entries in 6 different ways.
Bella can write her journal entries in 6 different ways.
To solve this problem, let's consider the different combinations of pages Bella could use for her journal entries. Since some pages will have one entry and others will have two, we'll use a combination of single-entry pages and double-entry pages.
Let's denote:
x = number of single-entry pages
y = number of double-entry pages
Given that Bella wants to make a total of 10 entries, the equation representing this constraint is:
x + 2y = 10
Now, let's find the possible values of x and y that satisfy this equation:
1. x = 0, y = 5
2. x = 2, y = 4
3. x = 4, y = 3
4. x = 6, y = 2
5. x = 8, y = 1
6. x = 10, y = 0
Therefore, there are 6 different combinations of pages Bella can use for her journal entries.
Total number of ways = 6
factor de 16x + 40y ecuacion
What are two expressions that are equivalent to
-2(4-y)?
6 times 6 plus 3 times 3 times 2 thirds
Answer:
to be honest ima bit confused buuuuuut
Step-by-step explanation:
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it took morry 2 5/6 hous to drive to the beach.it took jason twice as long.how long did it take jason to drive to the beach
Maya collects stamps she has 20 stamps in her collection four fifths of her stance have been cancelled how many of the stands and collection has been cancelled
Maya has 20 stamps in her collection, and four-fifths of them have been canceled. Therefore, 16 stamps in Maya's collection have been canceled.
Maya has 20 stamps in her collection, and four-fifths of them have been canceled. To find out how many stamps have been canceled, you would multiply the total number of stamps by the fraction that has been canceled.
Calculate 4/5 of 20 stamps: 20 x 4/5 = 16 stamps.
Therefore, 16 stamps in Maya's collection have been canceled.
For which equation is 7 a solution?
A) 3x + 1 = 27
B) 3(x + 1) = 24
C) 2x + 3(x-4) = 21
D) x2 - 8 = 42
Evaluate –6(x – 2y) when x = –3 and y = –5
–42
80
–80
–16
L'Shanda rode her bike 2.5 miles. Shanay rode her bike 3 miles. How many more feet did shanay ride her bike than L'Shanda?
adam put 16 cups of flour into bags that hold 1/3 cup each. How many bags did he fill
what is the answer to (-38)+(-40)
jonna mixed 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch. each serving is 1/16 gallon. how many servings can jonna make?
Answer:
12 servings.
Step-by-step explanation:
We have been Joanna mixed 1/4 gallon of orange juice and 1/2 gallon of pineapple juice to make punch.
First of all, we will find amount of punch by adding amount of orange juice and pineapple juice as:
[tex]\text{Amount of punch}=\frac{1}{4}+\frac{1}{2}[/tex]
Make a common denominator:
[tex]\text{Amount of punch}=\frac{1}{4}+\frac{1*2}{2*2}[/tex]
[tex]\text{Amount of punch}=\frac{1}{4}+\frac{2}{4}[/tex]
[tex]\text{Amount of punch}=\frac{1+2}{4}[/tex]
[tex]\text{Amount of punch}=\frac{3}{4}[/tex]
Now, we will divide total amount of punch by amount of each serving to find number of servings.
[tex]\text{Number of servings}=\frac{3}{4}\div \frac{1}{16}[/tex]
Convert to multiplication problem by flipping the 2nd fraction:
[tex]\text{Number of servings}=\frac{3}{4}\times \frac{16}{1}[/tex]
[tex]\text{Number of servings}=3\times 4[/tex]
[tex]\text{Number of servings}=12[/tex]
Therefore, Jonna can make 12 servings of punch shake.
Use repeated subtraction to divide 93 by 3
Jeanette wants to save money, but she has not been good at it in the past. The ratio of the amount of money in her savings account to the amount of money in her checking account was 1:6. Because she is trying to get better at saving money, she moves some money out of her checking account and into her savings account. Now, the ratio of the amount of money in her savings account to the amount of her money in the checking account is 4:3. if Jeanette had $936 in her checking account before moving money, how much money does Jeanette have in each account after moving money?
Jeanette cannot have $936 in her checking account and satisfy the given ratios.
Explanation:To solve this problem, we can set up a proportion using the given ratios and the initial amount of money in Jeanette's checking account. The initial ratio is 1:6 and the new ratio is 4:3. Let's represent the amount of money in Jeanette's checking account as x.
According to the initial ratio, the amount of money in her savings account is 1/6 × x = x/6.
According to the new ratio, the amount of money in her savings account is 4/3 × x.
Setting these two expressions for the amount of money in her savings account equal to each other, we get:
x/6 = 4/3 × x
Multiplying both sides of the equation by 6 to eliminate fractions, we get:
x = 8/1 × x
Dividing both sides of the equation by x to solve for the ratio, we get:
1 = 8/1
Since 1 is not equal to 8/1, we have a contradiction. Therefore, there is no solution to the problem as initially stated. It is not possible for Jeanette to have $936 in her checking account and satisfy the given ratios.
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Quinn used breaking apart to find the product of 37 x 4 her answer was 124 what did she do incorrectly
Quinn used the breaking apart method incorrectly to find the product of 37 and 4
Explanation:Quinn used the breaking apart method to find the product of 37 and 4. However, her answer of 124 is incorrect. Let's break down the correct steps:
Write down the number 37 and break it apart into two numbers: 30 and 7.Multiply each of these numbers individually by 4. 30 multiplied by 4 is 120, and 7 multiplied by 4 is 28.Add the two products together: 120 + 28 = 148.Therefore, the correct product of 37 and 4 is 148, not 124.
Amy ran twice as many miles on Tuesday as she ran on Monday. Amy ran 2 mi on Monday. What is the total number of miles that Amy ran on Monday and Tuesday?
miles ?
Is 1/6 greater than 4/6
Faith had $100. She went to the grocery store and bought three gallons of ice cream for $7.29 each. Then she went to the farmer's market and bought two dozen ears of corn for $5/dozen. How much money did faith have left
Plz Help Fast!
20 points. Which equation applies the associative property of multiplication? A.−67⋅811⋅13=811⋅(−67)⋅13
B.(−78⋅25)+(−78⋅35)=−78⋅(25+35)
C.−512⋅(65⋅13)⋅92=(−512⋅65)⋅(13⋅92)
or D.(−14−53)−35=−14−(53−35)
Answer: B.(−78⋅25)+(−78⋅35)=−78⋅(25+35)
Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 4.5 feet of ribbon, and Baxter has 2.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
Final answer:
Carol has 90 inches of ribbon, Tino has 4.5 feet, and Baxter has 2.5 yards. The total length of the ribbon the three friends have is 234 inches, 19.5 feet, and 6.5 yards.
Explanation:
To express the total length of the ribbon, we need to convert each friend's measurement to inches, feet, and yards.
Carol has 90 inches of ribbon.
Tino has 4.5 feet of ribbon. Since there are 12 inches in a foot, we can calculate Tino's measurement in inches by multiplying 4.5 feet by 12 inches/foot, which gives us 54 inches.
Baxter has 2.5 yards of ribbon. Since there are 3 feet in a yard and 12 inches in a foot, we can calculate Baxter's measurement in inches by multiplying 2.5 yards by 3 feet/yard and 12 inches/foot, which gives us 90 inches.
Therefore, the total length of ribbon the three friends have in inches is 90 + 54 + 90 = 234 inches.
To convert this to feet, we can divide 234 inches by 12, which gives us 19.5 feet.
To convert this to yards, we can divide 234 inches by 36, which gives us 6.5 yards.
From a standard deck of cards, what is the probability that you choose a red card and then a 3, assuming you replaced the first card?
Answer:
1/26
Step-by-step explanation:
got right on usa test prep
Elsa spent
$26
on fruit at the grocery store. She spent a total of
$65
at the store. What percentage of the total did she spend on fruit?
Elsa spent 40% of the total expenditure at grocery store on fruits.
Elsa spent $26 on fruit at the grocery store out of a total of $65 spent. To find the percentage spent on fruit:
Calculate the percentage: ($26 / $65) x 100% = 40%.
The numbers 82, 406 and 768 both include a 6. Which statement is true about the value represented by the 6 in 768?
In 768, the 6 is in the tens place, representing sixty. The breakdown of values in each digit helps clarify its placement in the overall number.
Step by Step Solution:
In the number 768, the digit 6 represents the value found in the tens place. This means that the 6 in 768 is multiplied by 10 to get its actual value, which is 60.
The digit 8 is in the units place and has a value of 8.The digit 6 is in the tens place and has a value of 60.The digit 7 is in the hundreds place and has a value of 700.So, in 768, the 6 contributes sixty to the total value of the number.
Each year a store decreased the price of certain model of TV by $35.If the price in 2001 was $1,950,what was the price in 2009?
Which graph could be used to show the situation described?
The temperature starts at 0 degrees and decreases by 12 degrees every hour.
Answer:
C.
Step-by-step explanation:
We are given,
The temperature on the graph starts at 0 degrees and decreases by 12 degrees every hour.
Now, according to the options:
A. In this figure, the temperature starts from a point between ( 10,20 ) and not from 0. So, this is not correct.
B. In this figure, the temperature starts from the point 3 and not from 0. So, this is not correct.
D. In this figure, the temperature starts from 0 but it is decreasing by 1 degree every hour, which is not according to the given statement. So, this is also not correct.
C. In this figure, the temperature starts from 0 and it is decreasing appears to be decreasing by 12 degree every hour. Thus, it represents the given statement.
Hence, figure C is the correct option.