What are two expressions that are equivalent to
-2(4-y)?
Tina practiced piano for 15 hours last month and 45 hours this month. Use multiplication to write a statement comparing the hours Tina practiced during the two months.
Answer: Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3 =45 hours.
Step-by-step explanation:
Given : Duration of Tina practiced piano last month= 15 hours
Duration of Tina practiced piano this month= 45 hours
We can see 45 is a multiple of 15 such that [tex]45=15\times3[/tex]
Therefore, Hours by Tina practiced this month is 3 times the hours she practiced last month such that 15 x 3= 45 hours.
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
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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)
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.
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.
Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.
To the nearest tenth of a percent, what is the percent error in Annie's estimate?
Answer:
2.75
Step-by-step explanation:
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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adam put 16 cups of flour into bags that hold 1/3 cup each. How many bags did he fill
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.
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.
Madison wants to make cookies for her little sister's birthday party. she is cutting a roll of cookie dough into piece that are 1/2 inch thick. if the roll is 13 inches long, how many cookies can she make?
Answer: There are 26 cookies from the roll.
Step-by-step explanation:
Since we have given that
Thickness of roll = 13 inches
Thickness of cookie that are cut off from the roll = [tex]\dfrac{1}{2}[/tex]
We need to find the number of cookies that are cut off from the roll.
So, Number of cookies is given by
[tex]\dfrac{13}{\dfrac{1}{2}}=13\times 2=26[/tex]
Hence, there are 26 cookies from the roll.
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
Evaluate –6(x – 2y) when x = –3 and y = –5
–42
80
–80
–16
a store marks up sporting goods 27%. write an expression that equals the retail price of an item with an original cost of p dollars?
The expression that equals the retail price of an item with an original cost of p dollars is option D: [tex]\( p \times 1.27 \)[/tex].
The retail price of an item with an original cost of p dollars is obtained by adding the markup percentage to the original cost.
Given that the store marks up sporting goods by 27%, the markup percentage is 27% of the original cost.
So, to find the retail price, we add the markup to the original cost:
[tex]\[ \text{Retail Price} = \text{Original Cost} + \text{Markup} \][/tex]
[tex]\[ \text{Retail Price} = p + 0.27p \][/tex]
[tex]\[ \text{Retail Price} = p \times (1 + 0.27) \][/tex]
[tex]\[ \text{Retail Price} = p \times 1.27 \][/tex]
So, the expression that equals the retail price of an item with an original cost of p dollars is option D: [tex]\( p \times 1.27 \)[/tex].
The probable question maybe:
A store marks up sporting goods 27%. Which expression equals the retail price of an item with an original cost of p dollars?
A p × 0.27
B p ÷ 0.27
C p × 0.73
D p × 1.27
if 7 units represent 98 liters find the value of 17 units
Molly read 75 pages of the latest thriller mystery novel in 45 minutes. What is her unit rate? At the same rate, how long will it take her to read the entire 425-page novel?
Molly reads at a unit rate of 1.67 pages per minute, and it would take her approximately 255 minutes to read a 425-page novel at this rate.
Explanation:The student's question is asking for a calculation of a unit rate, which in this context is the number of pages read per minute, and then an estimation of time needed to read the entire novel based on that rate. To find Molly's unit rate, we divide the number of pages she read (75) by the time in minutes (45).
Unit Rate = Total Pages Read / Total Time (in minutes)
= 75 pages / 45 minutes
= 1.67 pages per minute
Next, to figure out how long it will take Molly to read the entire 425-page novel at the same rate, we use the following formula:
Total Time = Total Pages / Pages Per Minute
= 425 pages / 1.67 pages per minute
= 254.49 minutes
Since it's not usual to read for a fraction of a minute, we round up to the nearest whole number, which means it would take Molly approximately 255 minutes to read the novel.
Molly's unit rate is 1.67 pages per minute. By using this rate, it will take her approximately 254.5 minutes to read the entire 425-page novel.
Explanation:Molly read 75 pages of the latest thriller mystery novel in 45 minutes. Her unit rate of reading is the number of pages read per minute, which can be calculated by dividing the number of pages (75) by the number of minutes (45). To find out how long it will take her to read the entire 425-page novel, we can use the unit rate.
To calculate Molly's unit rate, we divide 75 pages by 45 minutes which gives us a unit rate of 1.67 pages per minute.
Next, to determine how long it will take Molly to read the entire novel, we divide the total number of pages in the novel (425) by Molly's reading speed (1.67 pages per minute). This calculation will give us the total time in minutes, which we can then convert into hours if needed.
Calculate the unit rate: 75 pages / 45 minutes = 1.67 pages per minute.Calculate the time to read the entire novel: 425 pages / 1.67 pages per minute = approximately 254.5 minutes.
yes my last problem for my homework 1/7 N equals -4 solve the equation
138+710 is the same as _______
what is the answer to (-38)+(-40)
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%.
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.
A certain shade of green paint requires 4 parts blue to 5 parts yellow. If you mix 16 quarts of blue paint with 25 quarts of yellow paint, will you get the desired shade of green?
The ratio of blue to yellow paint should be 4:5 to get the desired shade of green. Mixing 16 quarts of blue paint with 25 quarts of yellow does not meet this ratio; thus the exact shade will not be achieved.
Explanation:The subject of the question is Mathematics, and it involves the concept of ratios and proportions to achieve a desired color mix. To determine whether mixing 16 quarts of blue paint with 25 quarts of yellow paint will produce the desired shade of green, we must ensure that the ratio of blue to yellow in the mixture is the same as the required ratio. The desired ratio is 4 parts blue to 5 parts yellow. Simplifying this ratio, we have 4/5, which means that for every 4 units of blue, there should be 5 units of yellow.
Illustrating this with an equation:
(16 quarts blue) / (25 quarts yellow) = 4/5?
Reducing the given amounts,
16/25 = ? 4/5
Now, the simplified form of 16/25 is 16/25 itself, while 4/5 is equivalent to 0.8. Since 16/25 is not equivalent to 4/5, the mixture of 16 quarts of blue paint and 25 quarts of yellow paint will not give us the exact desired shade of green. Therefore, to get the precise shade, an adjustment in paint quantities to reflect the 4:5 ratio would be needed.
No, the desired shade of green will not be achieved with the given mixture of blue and yellow paint.
Explanation:To determine if you will get the desired shade of green, we need to compare the ratio of blue to yellow in the desired shade with the ratio of blue to yellow in the mixture. The desired shade requires a ratio of 4 parts blue to 5 parts yellow. The mixture has a ratio of 16 parts blue to 25 parts yellow. To compare the ratios, we can simplify them. The desired shade ratio simplifies to 4:5, and the mixture ratio simplifies to 16:25. Since these ratios are not equivalent, the mixture will not result in the desired shade of green.
a 96 ounce container of orange juice cost 4.80. at what price should a 128 ounce container be sold in order for the unit rate for both containers to be the same
how to solve 5/6y + 1 = -1/2y + 1/4
Answer:
y= -1/4
y= -0.25
Step-by-step explanation:
5/6y+1= -1/2y+1/4
Subtract 1 from both sides
5/6y= -1/2y-3/4
Add 1/2y to both sides
1 1/3y= -3/4
Divide both sides by 1/3
y= -1/4
y= -0.25
5/8 of the 64 musicians in a music contest are guitarists. Some of the guitarists play jazz solos, and the rest classic solos. The ratio of the number of guitarists playing jazz solos to the total number of guitarists in the contest is 1:4. How many guitarists play classical solos in the contest?
Out of the 64 musicians, 40 are guitarists, and the ratio of jazz to classical guitarists is 1:4. There are 10 jazz guitarists, and by subtracting this from the total, it's found that 30 guitarists play classical solos.
To determine how many guitarists play classical solos in the music contest, we first find out the total number of guitarists.
Since 5/8 of the 64 musicians are guitarists, we multiply 5/8 by 64 to get the number of guitarists, which is 40.
Knowing that the ratio of guitarists playing jazz solos to the total number of guitarists is 1:4, we can say that for every 4 guitarists, 1 plays jazz solos.
Therefore, if we divide the total number of guitarists, 40, by 4, we will find out how many play jazz solos:
40 / 4 = 10.
The rest of the guitarists play classical solos, which is computed by subtracting the number of jazz soloists from the total number of guitarists:
= 40 - 10 = 30.
So, 30 guitarists play classical solos in the contest.
What is the quotient of 56,700 ÷ 15?
A 3,780
B 3,840
C 4,780
D 4,840
The answer is A: 3,780.
To find the quotient of 56,700 ÷ 15, we need to perform the division step-by-step:
First, set up the division problem: 56,700 ÷ 15.Divide the first two digits, 56, by 15. The closest is 3, so put a 3 above the line:3 × 15 = 45; subtracting 56 - 45 = 11.Bring down the next digit, 7, making it 117. Divide 117/ 15 = 7, so put a 7 above the line:7 × 15 = 105; subtracting 117 - 105 = 12.Finally, bring down the last digit, 0, making it 120. Divide 120/15 = 8 times:8 × 15 = 120; subtracting 120 - 120 = 0.Therefore, the quotient of 56,700 ÷ 15 is 3,780 which corresponds to option A.
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?
scott was 63 3/8 in tall when he started seventh grade and 65 1/4 in tall when he started eight grade. how many inches did he grow during this time?
The number of inches that he grows during this time will be 1 7/8 inches.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Scott was 63 3/8 inches tall when he started seventh grade and 65 1/4 inches tall when he started eighth grade.
Then the number of inches that he grows during this time will be
⇒ 65 1/4 - 63 3/8
⇒ 264/4 - 507/8
⇒ 15/8
⇒ 1 7/8 inches
The number of inches that he grows during this time will be 1 7/8 inches.
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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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