Nathaniel's sister has 5/6 as many songs on her MP3 player as he has on his MP3 player. His sister has 35 songs. How many songs does Nathaniel have?
Answer:
42 songs.
Step-by-step explanation:
Let x represent the number of songs Nathaniel's has.
We have been given that Nathaniel's sister has 5/6 as many songs on her MP3 player as he has on his MP3 player. This means his sister has [tex]\frac{5}{6}x[/tex] songs.
We are also told that his sister has 35 songs. We can represent our given information in an equation as:
[tex]\frac{5}{6}x=35[/tex]
Let us solve for x.
[tex]\frac{6}{5}\cdot \frac{5}{6}x=\frac{6}{5}\cdot35[/tex]
[tex]x=6\cdot 7[/tex]
[tex]x=42[/tex]
Therefore, Nathaniel has 42 songs.
A player has 26 hits in 120 times at bat. Write the player's batting average as a decimal. Round to the nearest thousandth
Answer: 0.217
Step-by-step explanation:
Given : Number of hits = 26
Number of times at bat = 120
The formula to find the player's batting average is given by :-
[tex]\text{Player's batting average}=\dfrac{\text{Number of hits}}{\text{Number of times player at bat}}\\\\\Rightarrow\ \text{Player's batting average}=\dfrac{26}{120}\\\\\Rightarrow\ \text{Player's batting average}=0.216666666667\approx0.217\ \ \text{[ Rounded to the nearest thousandth]}[/tex]
Hence, the player's batting average = 0.217
A teacher deposits $3,000 in a retirement fund. If she doesn't add any more money to the fund, which earns an annual interest rate of 6%, how much money would she have in 1 year?
After one year, the teacher would have $3,180 in the retirement fund without adding any more money to it.
To calculate the amount in the retirement fund after one year, we need to take into account the principal amount deposited and the interest earned over that period. The formula to calculate the total amount after one year is:
Total Amount = Principal Amount + (Principal Amount * Interest Rate)
Where:
Principal Amount = $3,000 (the initial deposit)
Interest Rate = 6% (expressed as a decimal, which is 0.06)
Now, we can plug the values into the formula:
Total Amount = $3,000 + ($3,000 * 0.06)
Total Amount = $3,000 + $180
Total Amount = $3,180
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evaluate 9/m +4 when m=3
Answer:
7
Step-by-step explanation:
Change the problem from 9/m + 4 to 9/3 + 4.
If you do 9 divided by 3, you get 3 so your problem is now 3 + 4.
3 + 4 = 7. Your answer is 7.
Hope that helps!
A seafood restaurant claims an increase of $1,750.00 over its average profit during a week where it introduced a special of baked clams
a. If this is true, how much extra profit did it receive per day?
b. if it had, instead, lost $150 per day, how much money would it have lost for the week?
c. If it's total loss was $490 for the week, what was its average daily change?
van someone please help me please solving number 6 and 7 please.
if a new cd player in north Carolina costs 225 dollars and the sales tax is 4.75 percent how much will a customer save during a tax free holiday when tax does not need to be paid
1/6(18x+24)=−14 solve for x
what is the value of x
In the transit museum, there are 1,763 modern train paintings and 447 antique train paintings. There are 76 more paintings than sculpture. How many sculptures are in the museum?
To find the number of sculptures in the museum, we add the number of modern and antique train paintings and then subtract 76 from the total because there are 76 more paintings than sculptures. The museum has 2,134 sculptures.
The student asked how many sculptures are in the museum, given the number of modern train paintings and antique train paintings, and also knowing there are 76 more paintings than sculptures. To find out the number of sculptures, we first add the number of modern and antique paintings together: 1,763 + 447 = 2,210 paintings in total. Since there are 76 more paintings than sculptures, we subtract 76 from the total number of paintings to find the number of sculptures: 2,210 - 76 = 2,134 sculptures.
Camille subtracted 3,256 from 6,000 and got 9,256.
Which correctly explains the mistake that Camille made and gives the correct answer?
A.
Camille added instead of subtracting. The correct answer is 2,744.
B.
Camille added instead of subtracting. The correct answer is 3,256.
C.
Camille forgot to regroup. The correct answer is 3,256.
D.
Camille forgot to regroup. The correct answer is 3,854.
A snail traveled 2 feet in 90 minutes. How far would it travel in 6 hours
Help with the answer
z\12=10 what is it and there is no options to this
Is this right here's what I did just in case you don't understand my rewriting
43,000. =43
43x 1,000
=43 x10^3 is this right or wrong this is scientific notion
write each percent as a fraction in simplest form 45 1/2%
what three steps should be followed when multiplying fractions?
Answer:
1 multiply the top numbers the numerators
2 multiply the bottom numbers the denominators
3 simplify the outcome if needed
Step-by-step explanation:
We call a number special if every digit in the number either is a 1 or borders a 1. For example, 11111, 13, 141, 1441, 515151, and 101 are all special, but 10001, 222, 122, and 1333 are not special. How many positive 3-digit numbers are special?
Let us say that:
T = numbers from 2-9
Z = numbers from 0-9
X = all except 1 (0, 2-9)
If a number begins with 1:
1 _ _
Then we can have
1 1 Z (10 numbers)
1 X 1 (9 numbers)
So a total of 19.
Now if a number starts with 2-9
T _ _
The second digit must be 1
T 1 _
but the third can be anything so
T 1 Z = 8 * 1 * 10 = 90 numbers
Total = 99
where do young tigers swim
Young tigers, also known as tiger cubs, typically swim in bodies of water such as rivers, streams, lakes, and ponds found within their natural habitat.
Tigers are known to be excellent swimmers and are generally comfortable in water.
They use swimming as a means to cool off, explore their surroundings, and sometimes to hunt or catch prey.
Swimming also helps tiger cubs develop their physical abilities and gain confidence in the water.
Thus, it's important to note that tigers are found in various habitats across Asia, including mangrove swamps, grasslands, and forests, so the specific locations where tiger cubs swim may vary depending on their environment.
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find the value of x (and wrote how you solve It)
please help!!!
1. Use the graph for Parts A–D.
A. Is the relation a function? Explain.
B. What is the domain of the relation?
C. What is the range of the relation?
D. What is the value of y when x = 2? Explain.
- The relation is not a function due to multiple y-values for the same x-value.
- Domain: {-4, -3, 2}
- Range: {0, 2, -3}
- Value of y when x = 2: -1
Let's analyze the graph and address each part:
A. Is the relation a function? Explain.
- A function is a relation where each input (x-value) corresponds to exactly one output (y-value).
- Looking at the graph, we see that there are two different y-values for x = -3: (x = -3, y = 2) and (x = -3, y = -3).
- Since there are multiple y-values for the same x-value, the relation is not a function.
B. **What is the domain of the relation?
- The domain consists of all the x-values represented in the graph.
- From the graph, we can identify the following x-values: -4, -3, 2.
- Therefore, the domain of the relation is {-4, -3, 2}.
C. What is the range of the relation?
- The range consists of all the y-values represented in the graph.
- From the graph, we can identify the following y-values: 0, 2, -3.
- Therefore, the range of the relation is {0, 2, -3}.
D. What is the value of y when x = 2? Explain.
- To find the value of y when x = 2, we look at the graph.
- At x = 2, the corresponding y-value is -1.
- Therefore, the value of y when x = 2 is -1.
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 31 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 350 square feet of carpeting. What dimensions should the rug have?
Final answer:
Cynthia should calculate the dimensions of the rug by solving the quadratic equation derived from the area she can afford and the dimensions of her room, taking into consideration the width of the uniform strip she wants to leave around the rug.After finding [tex]\( w \), the dimensions of the rug will be \( (20 - 2w) \) ft by \( (31 - 2w) \) ft.[/tex]
Explanation:
To find the dimensions of the rug, we need to subtract the width of the strip left around the rug from the width and length of the room.
The area of the room is given by [tex]\( A_{\text{room}} = W \times L \).[/tex]
Cynthia wants to leave a uniform strip of floor around the rug. This means that the dimensions of the rug will be reduced by twice the width of the strip. So, the dimensions of the rug will be [tex]\( (W - 2w) \times (L - 2w) \).[/tex]
Given that she can afford to buy 350 square feet of carpeting, the area of the rug must be equal to 350 square feet.
So, we have the equation:
[tex]\[ (W - 2w) \times (L - 2w) = 350 \][/tex]
Substituting the given values:
[tex]\[ (20 - 2w) \times (31 - 2w) = 350 \][/tex]
Expanding the equation:
[tex]\[ 620 - 82w - 40w + 4w^2 = 350 \][/tex]
Simplifying:
[tex]\[ 4w^2 - 122w + 620 = 350 \][/tex]
[tex]\[ 4w^2 - 122w + 270 = 0 \][/tex]
Now, we can solve this quadratic equation for w . Once we find the value of w , we can calculate the dimensions of the rug.
After finding [tex]\( w \), the dimensions of the rug will be \( (20 - 2w) \) ft by \( (31 - 2w) \) ft.[/tex]
Solve the equation; x/4-16=(-32)
Please Help: If M angle 1 = 72 degrees and m angle JKL = 126 degrees.
Find the measure of Angle 2.
help please ! 15 points
what is the sum of -11/4 + 2?
answer a and b please......
3.75 student of 320 are absents find the number of student that are absent
Scientists were studying bears by catching, tagging, and releasing 24 bears. A month later, the scientists come back and catch 4 bears, of which 2 are tagged. Assuming that the catch is representative, how many bears are there?
Final answer:
The mark and recapture method is used to estimate the size of a population. In this case, 24 bears were initially tagged and 4 bears were recaptured, 2 of which were tagged. The estimated population size can be calculated using the mark and recapture formula as (24 * 4) / 2 = 48 bears.
Explanation:
The mark and recapture method is used to estimate the size of a population. By catching, tagging, and releasing a known number of individuals and then recapturing a second sample, scientists can calculate an estimate of the total population size. In this case, scientists initially tagged 24 bears and then recaptured 4 bears, 2 of which were tagged. Using the mark and recapture formula, the estimated population size can be calculated as follows:
Number of initial tagged individuals: 24
Total number of individuals in the second sample: 4
Number of tagged individuals recaptured in the second sample: 2
Estimated population size = (Number of initial tagged individuals * Total number of individuals in the second sample) / Number of tagged individuals recaptured in the second sample
Using this formula, the estimated population size of bears in this case would be (24 * 4) / 2 = 48 bears.
A plumber charges a fee of $100 for the first hour and $50 for every hour thereafter. Write a linear model to represent the charges for any amount of hours.
Nick is rock climbing. He climbs 30 feet up a rock wall and then climbs 22 feet down to a landing area. The number of feet Nick climbs can be represented using the expression |30| + |-22|. How many feet does Nick climb? Evaluate the expression and show all your work.