Answer:
[tex]\frac{1}{400}[/tex] or 0.0025 0r 0.25%
Step-by-step explanation:
There are three categories that will get a prize
1) First place = 1 person
2) Second place = 5 persons
3) Third place = 20 persons
A total of 26 people will get prizes.
However, we want to determine your chance to win one of the second place prizes
There are 5 prizes in second place
This means out of a total of 2000 people, you could be among the 5
i.e 5 out of 2000
This is [tex]\frac{5}{2000} = \frac{1}{400} = 0.0025[/tex]
This means you have a chance of 1 out of 400
= 0.25%
The theoretical time for an apple to drop 2 meter is 0.64 second.sam did the experiment himself and measured that it took 0.62 second for him. What is the percent error?
An art school charges a materials fee in addition to a fee per class. The equation y=40x+25 the y is the total cost and the x is the number of classes. How many dollars is the fee for one class?
3(m+3)=_m+_ write equivalent expressions in the blanks
Paige paid $38.99 for 7 ounces of Hawaiian coffee. What did she pay per ounce? Round to the nearest cent. A. $2.44 per ounce B. $5.57 per ounce C. $17.06 per ounce D. $21.93 per ounce.
does the equation y = 20x + 500 represent a linear function
Noah wants to display his 72 collectors flags.He is going to put 6 flags in each row.How many rows of flags will he have in his display?
Na figura, r//s. O valor, em graus, de a+b é: a)180 b) 196 c) 216 d) 240
I need help with this question 2 -3/4K=1/8k+9
The value of k in the expression is -8.
We have,
2 - (3/4)k = (1/8)k + 9
Combine like terms on one side.
-(3/4)k - (1/8)k = 9 - 2
Simplify.
-k (3/4 + 1/8) = 7
-k (6 + 1)/8 = 7
-(7/8)k = 7
Multiply 8 on both sides.
-(7/8)k x 8 = 8 x 7
-7k = 56
Divide -7 on both sides.
k = -56/7
k = -8
Thus,
The value of k in the expression is -8.
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Explain why it can be helpful to use partial quotients when dividing?
Using partial quotients for division is helpful as it simplifies division into easier to manage multiplication and subtraction problems, enhances intuitive and mental math skills, and allows students to verify their answers easily.
Explanation:Using partial quotients when dividing can be helpful because this method turns a complex division problem into a series of simpler multiplication and subtraction problems. Unlike traditional long division that requires more complex, multiple-digit calculations, partial quotients approach the division process by allowing the student to subtract multiples of the divisor from the dividend in parts. This can be intuitive and less intimidating for students as they can work with smaller, more manageable numbers.
Partial quotients also allow for flexible thinking in mathematics. One can use estimates and adjust them in subsequent steps if necessary. This builds a deeper understanding of the division process instead of just rote procedure-following, and develops estimation and mental math skills over time. Moreover, it provides a clear pathway to check the work by adding the partial quotients, enhancing the student's ability to verify their own answers, and reinforcing the relationship between multiplication and division.
In practice, breaking down a division problem into smaller parts makes solving complex calculations more accessible and can be considered a shortcut that streamlines the division process. As such, this technique can be especially useful when dealing with larger numbers where traditional methods could become cumbersome. It introduces students to the concept of approximation, which is a valuable skill in both mathematics and real-life problem-solving scenarios.
The cost of 9 oranges is $1. What is the cost of 3 dozen oranges?
a dozen is 12
Answer:
$4
Step-by-step explanation:
36/9=4
36 is the number of oranges.
We know that 9 oranges is $1.
If 36 goes into 9, 4 times, that means 36 oranges costs $4.
Hope this helps :)
Wilma works at a bird sanctuary and stores bird seed in plastic containers. she has 3 small containers that holds 8 pounds of bird seed each and 6 large containers that hold 12 pounds of bird seed each. Each container was full until she used 4 pounds of bird seed. She wants to put some of the remaining bordered into 30 bird feeders that can hold 2 pounds each. How much birdseed does she have left over? Show the expression you used to find your answer.
The correct answer is:
32 pounds
Explanation:
She has 3 containers that hold 8 pounds each; 3(8) = 24 pounds of bird seed.
She has 6 containers that hold 12 pounds each; 6(12) = 72 pounds of bird seed.
This gives her a total of 24+72 = 96 pounds of bird seed.
She used 4 pounds of this; this gives her 96-4 = 92 pounds left.
She wants to use 30 containers that hold 2 pounds each; 30(2) = 60 pounds. This would give her 92-60 = 32 pounds left.
The amount of birdseed leftover is 32
The number of containers is:
[tex]\mathbf{Small = 3}[/tex]
[tex]\mathbf{Large = 6}[/tex]
The number of pounds is
[tex]\mathbf{Small = 8}[/tex]
[tex]\mathbf{Large = 12}[/tex]
So, the total number of pounds is:
[tex]\mathbf{Total = 3 \times 8 + 6 \times 12}[/tex]
[tex]\mathbf{Total = 96}[/tex]
From the question, 4 pounds were used.
So, the amount left is:
[tex]\mathbf{Amount = 96 - 4}[/tex]
[tex]\mathbf{Amount = 92}[/tex]
She wants to use 30 containers that contains 2 pounds each.
So, the left over is:
[tex]\mathbf{Left= 92 - 30 \times 2}[/tex]
[tex]\mathbf{Left= 92 - 60}[/tex]
[tex]\mathbf{Left= 32}[/tex]
Hence, the amount of birdseed leftover is 32
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Jim and Holly are making gingerbread men. It takes them both 2 minutes to make 2 gingerbread shapes. At this rate, how many people are needed to make 400 gingerbread men in 400 minutes?
Please help!!! It's about the types of quantities if they are proportional or not if there is a constant number.
Which operation should you perform first when you simplify 175 - (8 + 45 / 3) * 7? A. Addition B. Division C. Multiplication D. Subtraction
PLEASE ANSWER THIS IM IN A HURRY
Answer:
B. Division
Step-by-step explanation:
We have been given an expression [tex]175-(8+\frac{45}{3})*7[/tex]. We are asked to determine which operation will we use first to simplify our given expression.
Using order of operations PEMDAS, we will remove parenthesis first. To remove parenthesis, we need to simplify [tex]\frac{45}{3}[/tex].
Therefore, we will use division first to simplify our given expression.
Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment what fraction of her allowance did she spend on other items
PLEASE HELP ME I WILL DO ANYTHING I NEED HELP ASAP PLEASE HELP ME
A rock climber descends from a peak at a rate of 1/20 vertical km each minute. What is the climber's total change in elevation in 10/11 min?
Enter your answer in the box as a simplified fraction.
Convert 2/3 to a decimal
Answer is provided in the image attached.
Please help me with my math homework
An angle turns through 60 one-degree angles. What is the measure of the angle?
An angle turns through 160 one-degree angles. What is the measure of the angle?
The measure of an angle is equivalent to the number of one-degree angles it turns through. Therefore, an angle that turns through 60 one-degree angles measures 60 degrees. Similarly, an angle that turns through 160 one-degree angles measures 160 degrees.
Explanation:In mathematics, when we say an angle turns through 60 one-degree angles, we mean the angle measure is 60 degrees. This means that counter-clockwise rotation that makes up this angle is equivalent to 60 one-degree angles. Similarly, if an angle turns through 160 one-degree angles, then the angle is 160 degrees.
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An angle turns through 60 one-degree angles, so the measure of the angle is 60 degrees. An angle turns through 160 one-degree angles, so the measure of the angle is 160 degrees.
Explanation:An angle turns through 60 one-degree angles. Since each one-degree angle is a small portion of the whole angle, dividing the whole angle into 60 equal parts gives us the measure of each one-degree angle. Therefore, the measure of the angle is 60 degrees.
An angle turns through 160 one-degree angles. Using the same logic as before, dividing the whole angle into 160 equal parts gives us the measure of each one-degree angle. Hence, the measure of the angle is 160 degrees.
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the graph shows the mass of a radioactive substance as a function of time
enter the initial mass of the substance box.
__g
The Correct answer to your
question is 45 g. if you are wondering how I know I just did the 6.05 test in Algebra I (K12). I hope I helped you Today!
How many times greater is the product 4x300 than the product 4x30?
10 times greater is the product 4x300 than the product 4x30 after taking the ratio of the number, the answer is 10.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The two numbers are 4x30 and 4x300
To find how many times greater the other number.
Let x time greater the product of 4x300 than the product 4x30
4×300 = 4×30x
x = 4×300/4×30
x = 10
Thus, 10 times greater is the product 4x300 than the product 4x30 after taking the ratio of the number, the answer is 10.
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Sydney made 21 wooden penguins to sell at a fair. She used 5 pompoms and 4 beads to decorate each penguin . How many pompoms and beads did she use for the wooden penguins in all.
She used 84 pompoms and 105 beads for the wooden penguins
How many pompoms and beads did she use for the wooden penguins in all.
From the question, we have the following parameters that can be used in our computation:
wooden penguins = 21
Also, we have
Pompoms = 4 and Beads = 4 for each wooden penguins
Using the above as a guide, we have the following:
Total pompoms = 4 * 21 = 84
Total beads = 5 * 21 = 105
Hence, she used 84 pompoms and 105 beads
Sydney used a total of 189 pompoms and beads for all 21 wooden penguins.
To find the total number of pompoms and beads Sydney used for all the wooden penguins, we first need to determine how many decorations she used for one penguin.
She used 5 pompoms and 4 beads for each penguin.
So, for each penguin, the total number of decorations = 5 (pompoms) + 4 (beads) = 9 decorations.
Now, to find the total number of decorations for all 21 wooden penguins, we multiply the number of decorations for one penguin by the total number of penguins:
Total decorations = 9 decorations/penguin × 21 penguins
= 189 decorations.
Therefore, Sydney used a total of 189 pompoms and beads for all the wooden penguins.
use the multiplication table.describe the pattern you see in the row for 10?
sally is x years old and her sister ann is 4years younger. If the product of their ages is 140, form an equation in x and solve it to find ann's age
use divisio to find all the whole number ratios equivalent to 56:24
Answer:
7:3
Step-by-step explanation:
a box contains 16 cherry fruit chews, 15 peach fruit chews, and 12 plum fruit chews. Which two flavors are in the ratio 5 to 4
The flavors are in the ratio 5 to 4 which is Peach to plum .
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We are given that box contains 16 cherry fruit chews, 15 peach fruit chews, and 12 plum fruit chews.
Therefore, we have
15 divided by 3
15/3 = 5
12 divided by 3
12/3 = 4
The ratio 5 to 4 is Peach to plum .
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One dieter in a weight loss contest weighed 149 pounds after 8 weeks on his diet. By week 13, he weighed 134 pounds. What is his average weight loss per week?
Each digit in the division example has been replaced with the same letter throughout. (r stands for remainder.) The digits used were 1,2,3,4,5,7, and 9. Find the numbers. (Clue: U = 5.) ( Which means turn the letters into numbers. )
SU rE
_________
U) CAN
- CU
________
I N
- I U
_________
E
One cab company charges a flat rate of $5.60 plus $2.05 per mile. If a person took the cab to the store and the total was $36.35, how many miles did it take to drive to the store?
Select one:
a. 15 miles
b. 63.04 miles
c. 12.13 miles
d. 13 miles
40 is 50% of what number