a)Carrie's map indicates Greenville and North Valley are 90 miles apart. b) On Krystal's map, using a scale of 1 inch = 18 miles, the distance is 5 inches.
Part a:
On Carrie's map, Greenville and North Valley are 4.5 inches apart. The scale on her map is 1 inch = 20 miles. To determine the distance between the two locations:
Measure the distance on the map: 4.5 inches.
Multiply by the scale: 4.5 inches * 20 miles/inch.
Result: The actual distance is 4.5 * 20 = 90 miles.
Part b:
The scale on Krystal’s map is 1 inch = 18 miles. To find how far apart Greenville and North Valley are on Krystal's map, we use the actual distance calculated from part a (90 miles) and apply Krystal’s map scale:
Divide the actual distance by the scale: 90 miles / 18 miles/inch.
Result: The distance between Greenville and North Valley on Krystal's map is 90 / 18 = 5 inches.
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.
What is a artafart and a Earth quack?
Help with the answer
z\12=10 what is it and there is no options to this
write each percent as a fraction in simplest form 45 1/2%
You are adding two rational numbers with different signs.how can you tell if the sum will be postitive a negative or zero?
Caffeine Castle buys bulk coffee to sell. The cost of 5 pounds of imported coffee is $60. What is the unit rate in cost per pound?
After the expression (x^16)3/4 is simplified as much as possible, x is raised to what exponent?
Solve the equation; x/4-16=(-32)
4.2x10^6+2.25x10^5+2.8x10^6
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 snail traveled 2 feet in 90 minutes. How far would it travel in 6 hours
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
an art dealer makes a 17.5 percent commission on every painting sold if a painting sold for 1,500 dollars what was the commission
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
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.
Molly has 24 muffins,18 breakfast bars,and 12 bottles of juice to be distributed evenly among a certain number of welcome baskets she wants to package the maximum number of welcome baskets that will contain the same combination of muffins breakfast bars and bottles of jucie which shows the correct number of muffins breakfast bars and juice bottles among with the proper explanation circle all that apply
Answer: Hello mate!
We want to distribute 24 muffins, 18 breakfast bars and 12 bottles of juice evenly into baskets, and we want to know the maximum amount of baskets that makes this possible.
This means that we are looking for the maximal common factor between 12, 18 and 24.
To find it, you can took the smallest number in the set, in this case, 12, and look at his divisors, then see if these divisors also divide the other numbers in the set.
Let's do it:
The biggest divisor of 12 is 6, because of 12/6 = 2.
Now 18/6 = 3, so 6 is also a divisor of 18.
24/6 = 4, then 6 is also a divisor of 24.
Then the maximal common factor of the numbers 12, 18 and 24 is 6.
This means that the maximum number of baskets that have an even distribution of the things is 6, where each basket has 2 bottles of juice, 3 breakfast bars, and 4 muffins.
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.
what is the value of x
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!
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
There are 10 boys and 14 girls in your class.Three new students, 2 boys and 1 girl, join your class. Compare the ratio of boys to girls before and after the new students enrolled.Solve and give a short response explaining your answer.
answer a and b please......
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]
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.
what is the sum of -11/4 + 2?
Function Question!!!!!!!!
If something starts out costing $500, and then is marked down by 25% on each of three separate occasions,what is the final price
Simona si Andrei au impreuna 648 de lei. Andrei are o suma de trei ori mai mare decat a Simonei. Cei doi copii hotarascsa cumpere un joc Lego care costa 128 de lei. Afla cati bani ii raman fiecarui copil, stiind ca ei au cheltuit sume egale.
DATI-MI VA ROG RASPUNS SI EXPLICATIE XX DAU COROANA XX
1/6(18x+24)=−14 solve for x
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?