Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. Remember, units of distance and time must agree. Use the conversion information from the warm-up to write a rate in miles per minute.
A piece of string is cut in half, so thata one half can be used to bundle newspapers for recycling. One thrid of the remaining string is cut off and used to tie a parcel. The leftover string is 2m. How long was the whole piece of string?
If a bookshelf is 28 1/8 inches long,how many 1 7/8 inch thick books will it hold?
Answer: Bookshelf can hold 15 books.
Step-by-step explanation:
Given : The length of the book shelf = [tex]28\dfrac{1}{8}[/tex] inches
In improper fraction , [tex]28\dfrac{1}{8}=\dfrac{8(28)+1}{8}=\dfrac{225}{8}[/tex]
i.e. Length of the book shelf = [tex]\dfrac{225}{8}[/tex] inches
Similarly, Thickness of a book = [tex]1\dfrac{7}{8}=\dfrac{8(1)+7}{8}=\dfrac{15}{8}[/tex] inches
Now, the number of books the shelf can hold = Length of the bookshelf ÷Thickness of a book
[tex]=\dfrac{225}{8}\div\dfrac{15}{8}\\\\=\dfrac{225}{8}\times\dfrac{8}{15} \\\\=\dfrac{225}{15}=15[/tex]
Hence, the bookshelf can hold 15 books.
find the next 3 terms of the following sequence 22 21 18 13 6
The next 3 terms of the sequence 22, 21, 18, 13, 6 are 2, -3, and -8.
Explanation:The next 3 terms of the sequence 22, 21, 18, 13, and 6 can be found by analyzing the pattern in the sequence. The difference between each term is decreasing by 1 each time. So, the next difference would be 5 - 1 = 4. Subtracting 4 from 6 gives us 2. Therefore, the next term in the sequence is 2. Repeating this process, we can find the following terms: 2, -3, and -8.
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Adam says that the number 4 has four factors. Explain why this statement is incorrect.
Answer:Sample response: The number 4 only has three factors: 1, 2, and 4. Adam probably counted the factor 2 twice.
Step-by-step explanation:BRAINLIEST AWARD!!!!!
Miss Connor asks her class to guess her mystery number she tells him this number has two digits is a prime less than 20 and a factor of 34 what is the number and the mystery number missed Connor has in mind
Answer:
17
Step-by-step explanation:
You are to follow the clues. Since it is 2 digits and is prime, go through the prime numbers between 10 and 20. They are 11, 13, 17, and 19. Then you find the factors of 34 which are 1×34 2x17. That leaves only 1 possible answer: 17
It takes 52 minutes for 5 people to paint 5 walls. How many minutes does it take 20 people to paint 20 walls?
Answer:52 min
Step-by-step explanation:
Given
5 people paint 5 walls in 52 minutes
Now if 1 person paints the 5 walls then time required will be 5 times more
1 Person paint 5 walls in [tex]52\times 5[/tex]
For 20 walls person has to do 4 times the previous walls
1 person paints 20 walls in [tex]52\times 5\times 4[/tex]
For 20 People time required will be 20 times less
i.e.
[tex]\frac{52\times 5\times 4}{20}=52 mins[/tex]
what number is 8.2 of 50
What is the conclusion of the following conditional?
A number is divisible by 2 if even.
A. The sum of the digits of the number is divisible by 2.
B. If a number is even, then the number is divisible by 2.
C. The number is even.
D. The number is divisible by 2.
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
"A number is divisible by 2 if even."
It means that if the number is even , then that number is always be divisible by 2.
So, the conclusion of the conditional is that
"If a number is even, then the number is divisible by 2."
Hence, Option 'B' is correct.
Which set is the subset of every set
The set which is the subset of every set is:
Empty set or null set.
Step-by-step explanation:Set--
A set is a well defined collection of the distinct objects.
The number of objects in the set is the cardinality of the set.
The set whose cardinality is zero is known as the empty set or the null set.
i.e. it is the set which is having zero element i.e. no element.
Such a set is unique.
Also, the null set or the empty set is the subset of every set.
Please older brother is 4 3/4 feet tall lien is 1/3 foot shorter than his brother how old how tall is Leon
Answer: Leon is 53/12 feet tall (4 5/12)
Step-by-step explanation:
Hi, to answer this question we have to subtract the height difference (1/3 ) to the Older brother's height. (4 3/4).
Mathematically speaking:
4 3/4 -1/3 = (4x4+3)/4 -1/3 = 19/4 -1/3 = 57/12-4/12 = 53/12 feet
Leon is 53/12 feet tall (4 5/12)
Feel free to ask for more if needed or if you did not understand something.
How do you convert the percent 83.1 to a fraction
la o brutarie, numarul de covrigi este dublul numarului de chifle iar numarul de paini este un sfert din numarul de chifle. cate paini sunt daca in total sunt 2314 produse
What is the value of 6x^3 +8x when x = 5
Frank needs to memorize words on a vocabulary list for Latin class. He has memorized
6
of the words, which is two-thirds of the list. How many words are on the list?
Frank has memorized 6 words which is two-thirds of his vocabulary list, so by dividing 6 by 2/3, we find out that the total number of words on the list is 9.
Frank has memorized 6 words on his Latin vocabulary list, which is two-thirds of the total number of words. To find out the total number of words on the list, we can set up a proportion where 6 words corresponds to 2/3. Therefore, we need to find a number that, when multiplied by 3/2 or 1.5, gives us 6.
We can set up the equation like this: 2/3 * total words = 6 words. To find the total words, we divide 6 by 2/3:
total words = 6 ÷ (2/3)
total words = 6 * 3/2
total words = 9
So, the vocabulary list has a total of 9 words.
If 12 gallons of gas costs $25.20, how much is the gas per gallon?
$1.98
$2.05
$2.10
$2.25
F=fg/f+g-d Solve for f. F and f are different!
Please help me with math please, they are number lines.
(3 pt)
Multiply.
Express the product in simplest form.
2/10 X 20
The Watertown science contest allowed teams of 5 students compete. If 45 students entered the contest, how many teams competed? What type of problem is it?
1. A room is in the shape of a rectangle. The width of the room is 2 feet longer than two thirds the length. If the room is 33 feet long, what is the area?
To calculate the area of the rectangular room with a length of 33 feet and width that is 2 feet longer than two thirds of its length, we first find the width to be 24 feet and then multiply it with the length to get the area of 792 square feet.
Calculating the Area of a Rectangle
The question involves finding the area of a rectangular room given the length and a relationship between the length and width. The room is 33 feet long and the width is stated to be 2 feet longer than two thirds of the length. First, we determine the width by using the length to find two thirds of it and then adding 2 feet:
Width = (2/3)Omar has 8 marbles.joy has 7marbles.how many marbles do they have together?
In the afternoon, a television station reported the temperature as 3.7°F . That evening, they reported the temperature as −1.5°F .
Which expression represents the total temperature change from afternoon to evening?
A:
|−1.5+3.7|
B:3.7+(−1.5)
C:|3.7−(−1.5)|
D:−1.5+3.7
An expression is a way of writing a statement with a mathematical operation such as addition, subtraction, multiplication, and division.
If the temperature in the afternoon is 3.7°F and in the evening is -1.5°F
The expression that represents the temperature change from afternoon to evening is:
-1.5 - 3.7
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with a mathematical operation such as addition, subtraction, multiplication, and division.
Example: 2x + 3 - 8 is an expression.
We have,
The temperature in the afternoon = 3.7°F
The temperature in the evening = -1.5°F
The temperature change from afternoon to evening:
= -1.5 - 3.7
= -5.2°F
Thus,
If the temperature in the afternoon is 3.7°F and in the evening is -1.5°F
The expression that represents the temperature change from afternoon to evening is:
-1.5 - 3.7
Option D is the correct answer.
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A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 parking spots for store employees. If c cars can be parked in each of the 4 main rows of the parking lot, what is the expression for the maximum number of cars that can be parked in the parking lot?
15c − 4
c(15 − 4)
4c + 15
4(c + 15)
The expression for the maximum number of cars that can be parked in the parking lot is:
4c+15
Step-by-step explanation:As there are a total of 4 rows.
and If c cars can be parked in each of the 4 main rows of the parking lot then the total number of cars that are parked in all the rows are:
4c
Also, 15 parking spots are for store employees.
Hence, the maximum number of cars that can be parked is represented by the expression as:
4c+15
how do mental math strategies help you solve problems such as the ones above?
With mental math, you can perform equations quickly and efficiently. They also help you to develop your own strategies and solve more complex math equations. Hope this helps;)
A line passes through (2, −1) and (4, 5).
Which answer is the equation of the line?
A)−3x+y=−7
B)−3x+5y=−13
C)−3x+5y=13
D)−3x+y=17
Answer:
1. A line passes through (2, −1) and (4, 5).
Which answer is the equation of the line?
−3x+y=−7
2. A line has slope −3/4 and y–intercept 5.
Which answer is the equation of the line?
y=−3/4x+5
3. There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day.
Which linear equation represents the total amount of quarters in the jar after x days?
y = 2x + 6
4. Which answer is an equation in point-slope form for the given point and slope?
Point: (1, 9); Slope: 5
y−9=5(x−1)
Step-by-step explanation:
how do you solve 7+1/4r=-17
Answer:
It helped thankyou very much
Step-by-step explanation:
I didn't even need it
lenght of segment OP
PLEASE HELP!
Which is greater -6.875 or -6.89...
find the slope of the line through P(5,7) and Q( -1 + 7)
Final answer:
The slope of the line through points P(5,7) and Q(-1,7) is calculated to be 0, indicating a horizontal line.
Explanation:
To find the slope of the line through points P(5,7) and Q(-1,7), we can use the formula for the slope of a line through two points: slope (m) = (y2 - y1) / (x2 - x1). In this case, the coordinates for P are (x1, y1) = (5, 7) and the coordinates for Q are (x2, y2) = (-1, 7).
Plugging these values into the slope formula, we get:
m = (7 - 7) / (-1 - 5)
m = 0 / (-6)
m = 0
So the slope of the line is 0, which means that the line is horizontal.