1 millimeter on the map represents 1 meter on the ground. What is the ratio
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MATH SOLUTIONS
A fast food chain has a contest in which a card
with numbers on it is given to each customer who
makes a purchase. If some of the numbers on the
card add up to 100, then the customer wins $100.
You make a purchase and receive a card contain-
ing the numbers 72, 21, 15, 36, 69, 81, 9, 27, 42,
and 63.
Will you win $100?
Why or why not?
Final answer:
After examining possible combinations of the given numbers (72, 21, 15, 36, 69, 81, 9, 27, 42, and 63), we find no subset that adds up to exactly 100. The closest sum we can get is 99, which is not sufficient to win the prize. Hence, we will not win the $100.
Explanation:
To determine whether we will win the $100 by finding a combination of the given numbers that add up to 100, we should examine possible combinations. The provided numbers are 72, 21, 15, 36, 69, 81, 9, 27, 42, and 63.
Looking at these numbers, we can see if any subsets add to 100:
27 + 72 = 99 (close, but not exactly 100)63 + 36 = 99 (also close, but still not 100)21 + 15 + 9 + 27 + 27 = 99 (using 27 twice is not allowed, and it's still not exactly 100)It becomes evident that combinations of the given numbers will either fall short of or exceed 100. The closest combinations we can make are 99, just one short of the required total, meaning we cannot win the $100 with the provided numbers on the card. Therefore, the answer is no; we will not win $100 as we cannot make a sum of exactly 100 using the numbers on the card.
0.04 divided by 1.68
Suppose a carpet for an 8ft by 12 ft room cost $500. How much would an 16 ft by 24ft cost
To determine the cost of carpeting for a room that is twice the length and width of another, calculate the cost per square foot of the smaller room and then multiply that by the area of the larger room.
Explanation:The question is asking how much a carpet would cost for a room that is twice as long and twice as wide as an 8 ft by 12 ft room, given that the carpet for the smaller room costs $500.
To solve this, we first find the area of the smaller room, which is 8 ft multiplied by 12 ft, resulting in an area of 96 square feet.
The cost per square foot for the carpet is then $500 divided by 96 square feet, which equals approximately $5.21 per square foot.
Next, we calculate the area of the larger room.
Since both dimensions are doubled, the area will be 16 ft by 24 ft, which equals 384 square feet.
To find the cost for the larger room's carpet, we multiply the area of the larger room by the cost per square foot previously calculated.
Therefore, 384 square feet multiplied by $5.21 per square foot results in a cost of approximately $2,000 for the larger carpet.
My bathroom floor measures 3 feet by 3 feet. I can choose between a ceramic tile floor costing $3.75 per square foot or linoleum costing $32.99 per square yard. Which is cheaper, ceramic title floor or linoleum floor?
After calculating the total costs, linoleum flooring for a 3 feet by 3 feet bathroom floor is cheaper at $32.99 compared to ceramic tile flooring which costs $33.75.
The student's question is about comparing the costs of two different types of flooring options: ceramic tile and linoleum. To determine which is cheaper, we need to calculate the total cost of each option for a bathroom floor that measures 3 feet by 3 feet.
First, for the ceramic tile option, we can calculate the area of the bathroom floor (which is length times width), giving us 3 feet × 3 feet = 9 square feet. Next, we multiply the area by the cost per square foot of the ceramic tile: 9 square feet × $3.75 per square foot = $33.75.
For the linoleum option, we need to convert the area of the floor from square feet to square yards because the linoleum is sold by the square yard. There are 9 square feet in a square yard, so the floor area in square yards is 9 square feet ÷ 9 square feet per square yard = 1 square yard. Therefore, the total cost for linoleum would be 1 square yard × $32.99 per square yard = $32.99.
Comparing the two totals, we can see that the cost of linoleum at $32.99 is cheaper than the ceramic tile option which costs $33.75.
suppose f(x)=33.3+1.4 log (x+1) models salinity of ocean water to depths of 1000 meters at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the salinity to the nearest hundredth when the depth is 785 meters
A restaurant offers
7
appetizers and
9
main courses. In how many ways can a person order a two-course meal?
Using the concept of combinations, the person can order a two course meal in 63 ways
How many ways can a person order a two course meal?To determine the number of ways a person can order a two-course meal from the given options of appetizers and main courses, we can use the concept of combinations.
In this case, we need to choose one appetizer and one main course. Since these choices are independent, we can use the principle of multiplication.
The number of ways to choose one appetizer from 7 options is 7, and the number of ways to choose one main course from 9 options is 9.
Therefore, the total number of ways to order a two-course meal is given by the product of these two choices:
Number of ways = 7 * 9 = 63.
Hence, a person can order a two-course meal in 63 different ways from the given options of appetizers and main courses.
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Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 5 or a queen?
Using the probability concept, it is found that there is a 0.1538 = 15.38% probability of drawing a 5 or a queen.
A probability is the number of desired outcomes divided by the number of total outcomes, hence:
[tex]p = \frac{D}{T}[/tex]
In this problem:
In a standard deck, there are four 5s and also four queens, hence [tex]D = 4 + 4 = 8[/tex].In total, there are 52 cards, hence [tex]T = 52[/tex]The probability is:
[tex]p = \frac{D}{T} = \frac{8}{52} = 0.1538[/tex]
0.1538 = 15.38% probability of drawing a 5 or a queen.
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3/7×4 find the product in simplest form
.A new truck costs $32,000. The car’s value will depreciate over time, which means it will lose value. For tax purposes, depreciation is usually calculated linearly. If the truck is worth $24,500 after three years, write an explicit formula for the value of the car after n years.
The explicit formula for the value of the truck after [tex]\(n\)[/tex] years is:
[tex]\[V(n) = -2,500n + 32,000\][/tex]
Where [tex]\(V(n)\)[/tex] represents the value of the truck after [tex]\(n\)[/tex] years.
To write an explicit formula for the value of the truck after n years with linear depreciation, we can use the formula for the equation of a straight line:
[tex]\[y = mx + b\][/tex]
Where:
- [tex]\(y\)[/tex] is the value of the truck after [tex]\(n\)[/tex] years.
- [tex]\(m\)[/tex] is the slope of the line, which represents the rate of depreciation per year.
- [tex]\(x\)[/tex] is the number of years.
-[tex]\(b\)[/tex] is the initial value of the truck.
Given:
- Initial value [tex](\(b\)): $32,000[/tex]
- Value after 3 years [tex](\(y\)): $24,500[/tex]
We can use these values to find the slope [tex](\(m\))[/tex]:
[tex]\[m = \frac{y_2 - y_1}{x_2 - x_1}\][/tex]
Substituting the given values:
[tex]\[m = \frac{24,500 - 32,000}{3 - 0}\]\[m = \frac{-7,500}{3}\]\[m = -2,500\][/tex]
Now, we have [tex]\(m = -2,500\)[/tex]. We can substitute this slope and the initial value into the equation:
[tex]\[y = -2,500x + 32,000\][/tex]
The explicit formula for the value of the truck after [tex]\(n\)[/tex] years is:
[tex]\[V(n) = -2,500n + 32,000\][/tex]
Where [tex]\(V(n)\)[/tex] represents the value of the truck after [tex]\(n\)[/tex] years.
You are building a chair. The plans call for 1/2 inch nails. Your nails are 3/4 inch long. Are your nails too long are too short
The plans call for 1/2 inch nails, but the nails you have are 3/4 inch. Therefore, your nails are too long.
Explanation:The chair plans call for 1/2 inch nails, but the nails you have are 3/4 inch long. When comparing these lengths, you can see that 3/4 is greater than 1/2. Therefore, your nails are too long for what the plans call for.
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I need help finding the reference angles for these angles.
1) 1.4
2) [tex]-1.4 \pi [/tex]
3) 2.3
4) [tex]2.3 \pi [/tex]
Estimate each Quotient
1) 59,628 divide by 73
2) 361,245 divide by 58
3) 104,392 divide by 64
REALLY NEED IT! Thanks ;) also pls show work
if 2x -3 = 5 then x = ?
Population of the world was 5.7 billion in 1995 and the observed growth rate was 2% per year. By what year will the population triple?
The length of a rectangle is 10 meters more than the width. If the perimeter is 184 meters, what are the length and the width?
A researcher is studying the effects of caffine on exam scores of college students. In this study what would be the population and sample of this research?
how do you turn a fraction into a whole number
the speed of the stream is 4 mph. a boat travels 4 miles upstream in the same time it takes to travel 12 miles downstream. what is the speed of the boat in still water?
An election ballot asks voters to select four city commissioners from a group of
twelve candidates. In how many ways can this be done?
An assembly-line machine turns out washers with the following thicknesses (in millimeters). Find the mean and standard deviation of the thicknesses.
1.42, 1.83, 1.43, 1.87, 1.22, 1.44, 1.72, 1.91, 1.42, 1.87, 1.42, 1.99, 1.27, 1.94, 1.67, 1.22
The mean thickness of the washers is 1.55 mm and the standard deviation is approximately 0.296 mm.
Explanation:To find the mean of the thicknesses, we add up all the values and divide it by the total number of values. In this case, the sum of the thicknesses is 24.81. Dividing this by the total number of values, which is 16, gives us a mean of 1.55 mm.
To find the standard deviation, we need to calculate the variance first. The formula for variance is sum of (value - mean)^2 divided by n - 1, where n is the number of values. After calculating the variance, we take its square root to find the standard deviation. In this case, the variance is 0.0877, and the standard deviation is approximately 0.296 mm.
1/5+2/5=
3 4/6- 2 1/6=
5 1/4+ 2 1/4=
5 2/7-2 1/7=
please help
21 pts
A washer and dryer cost $600.00 combined. The cost of washer is 3 times more than dryer. What is cost of dryer?
A city council consists of six Democrats and six Republicans. If a committee of seven people is selected, find the probability of selecting four Democrats and three Republicans.
Factor out the GCF from each term in the expression
3. 30w5 + 25w3
4. 3x(7x + 1) – 2(7x + 1)
show that, except for 2 and 5, every prime number can be expressed as 10k+1, 10k+3 10k+7, 10k+9, where k is an interger
8 times what equals 49
If u get this question wrong u have to change your profile picture to Psyduck for 3 days and if u know the answer don't tell anyone but me((pm me)) because the answer is a secret.** If u bring 10 empty bottles to the bottle shop, the bottle shop will change 10 empty bottles to 1 drink. If u bring 100 bottles to the shop. How many drinks will you get?
In the given scenario, 10 empty bottles are equivalent to one drink. So, with 100 bottles, you'd be able to exchange for 10 drinks.
Explanation:
The subject is mathematics, specifically a problem relating to division. The scenario describes a situation where 10 empty bottles can be exchanged for a single drink. If you have 100 bottles, you will be able to exchange these for drinks. To figure out how many drinks you would get, divide the total number of bottles by the number of bottles needed for one drink. So, 100 bottles divided by 10 bottles per drink equals 10 drinks.
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a stereo is marked down $75. If this is a 15% decrease find the sale price. How do you work this problem out?
Answer:
The selling price is $425.
Step-by-step explanation:
Given information:
Marked down price = $75
15% decrease = $75
Let x be the market price.
[tex]x\times \frac{15}{100}=75[/tex]
[tex]0.15x=75[/tex]
Divide both sides by 0.15.
[tex]x=500[/tex]
The market price is $500.
Selling price = Market price - Marked down
Selling price = $500 - $75
Selling price = $425
Therefore, the selling price is $425.
Y-intercept is 100 and slope is 5. Partner gave example: Younger brother had 100 small building blocks, but lost 5 of them every month since. What mistake did Partner make?