Which mathematical sentence most accurately expresses the information in the problem below? Crystal has 121 compact discs that she wants to put into boxes. Each of the boxes that she brought home holds 25 discs. How many of these boxes will she need for all of her discs?
Answers
Crystal has 121 compact discs. The total number of boxes required are 5.
Solution:
Given, Crystal has 121 compact discs that she wants to put into boxes.
Each of the boxes that she brought home holds 25 discs.
We have to find how many of these boxes will she need for all of her discs?
Now, we know that, number of boxes required
Here we took 5 because 0.84 means that box with discs less than 25 still we require a box.
Hence, the total number of boxes required are 5.
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Robert bought a used car for $1,500. If the sales tax is 5% what will the total that Robert had to pay for the car
In the triangle below y=? Round to the nearest tenth
Answers
We have three placeholders.
x, y, and z will represent the number of cookie boxes they sold for the first, second, and third weeks, respectively.
"The girls sold 5 more boxes the second week than they did the first."
x + 5 = y
"They doubled the sales of the second week for the third week."
z = 2y
"To sell a total of 431 boxes of cookies"
x + y + z = 431
Now we have our three equations.
x + 5 = y
z = 2y
x + y + z = 431
Obviously, we can substitute y and z in the last equation, because the other two open sentences tell us what they are.
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2(x + 5) = 431
Collect Like Terms.
2x + 5 + 2(x + 5) = 431
Distribute.
2x + 5 + 2x + 10 = 431
Collect Like Terms.
4x + 15 = 431
Subtract 15 from both sides.
4x = 416
Divide both sides by 4.
x = 104
Now we can use the other two original sentences to figure out what y and z are.
x + 5 = y
104 + 5 = y
109 = y
z = 2y
z = 2(109)
z = 218
Now, to check, add x, y, and z.
x + y + z = 431
104 + 109 + 218 = 431
213 + 218 = 431
431 = 431 This checks.
The Girl Scouts sold 104 cookie boxes on the first week, 109 boxes on the second week, and 218 boxes on the third week.
Answer:
IT'S CORRECT!
Step-by-step explanation:
Answers
All you need to do is replace the letters by their value
(a+b)
(2+3)
= 5
I hope that's help:)
Answers
The probability of rolling a 6-sided die and getting a 1 or a prime number is 0.66 or 66%.
What is the probability?
The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.
Assuming the die is numbered 1 to 6.
To answer the question, we first need to know many prime numbers can be represented on the die. What are the prime numbers equal to 6 or lower?
We have 2, 3 and 5. (since 4 and 6 are not prime numbers). So we have 3 prime numbers, plus the number 1... so there are 4 possibilities valid for rolling a 1 or a prime number: 1,2,3 and 5.
There 4 possibilities out of 6 total possible outcomes, the probability of rolling a 6-sided die and getting a 1 or a prime number is;
Hence, the probability of rolling a 6-sided die and getting a 1 or a prime number is 0.66 or 66%.
Learn more about probability here;
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b. n3
c. 3n
d. n + n + n
Answers
Answer:
Option (a) is correct.
n + 3 represents the given expression "the sum of 3 and n" correctly.
Step-by-step explanation:
Given : Expression "the sum of 3 and n"
We have to choose the correct option from the given options that represents the given expression "the sum of 3 and n" correctly.
Consider the given expression "the sum of 3 and n"
We know the mathematical symbol for sum is '+'
So, The sum of 3 and n is written mathematically as 3 + n
Thus, n + 3 represents the given expression "the sum of 3 and n" correctly.
Answers
Answers
Cross multiply: 36*?= 108*100
⇒ ?= 108*100/36= 300
108 is 36% of 300.