You can cut 60 pieces of 1/4 foot each from a string that is 15 feet long by carrying out the operation 15 ÷ 1/4, which turns into multiplication by the reciprocal of the fraction, 15 x 4 equals 60.
Explanation:The question is asking how many 1/4 ft pieces you can cut from a 15 feet long string. In other words, you want to divide the total length of the string by the length of each piece you're cutting out. So you will carry out a division operation: 15 ÷ 1/4. When dividing by a fraction, you actually multiply by its reciprocal. The reciprocal of 1/4 is 4, so 15 ÷ 1/4 becomes 15 × 4, which equals 60. Therefore, you can cut 60 pieces of 1/4 foot each from a string that's 15 feet long.
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Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account?
The ending balance would be (-8.23).
What is unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
After deposit her balance would be
=126.89 + 21.49
=148.38
and, the balance after paying for the repair
=148.38 - 156.61
=$ (-8.23)
Hence, the ending balance would be (-8.23).
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PLEASE HELP!
A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would have an A for the test! How many students are there in that class?
6 students are there in a class.
What is an example of a word problem?Word problems normally include mathematical modeling questions, in which records and statistics approximately a certain system is given and a pupil is needed to broaden a model. as instance: Jane had $5.00, then spent $2.00. How lots does she have now?
What are word problems referred to as?In computational mathematics, word trouble is the hassle of finding out whether given expressions are equivalent with admire to a hard and fast of rewriting identities. A prototypical instance is the word problem for corporations, but there are many other instances as nicely.
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Can someone help pleases
what is the constant term of the expression 90x-20
Shelley's score = 90x
Terrence's score = 90x-20
Difference between them is (90x - 20 - 90x) = -20
The constant term represents the difference between Shelly's and Terrence's scores.
The cover of a photo album has an area of 97.5 square inches. Find its area in square centimeters.(1cm =
0.3937 inches)
Answer: [tex]629.031 \text{ square centimeters}[/tex]
Step-by-step explanation:
Given : The cover of a photo album has an area of 97.5 square inches.
It is given that 1 cm = 0.3937 inches
By unitary method , 1 inch=[tex]\dfrac{1}{0.3937}=2.54000508001\approx2.54 \text{ cm}[/tex]
Then, 97.5 square inches =[tex]97.5\times2.54\times2.54[/tex]
[tex]\\\\=629.031\approx629.031 \text{ square centimeters}[/tex]
Hence, The required answer is[tex]629.031 \text{ square centimeters}[/tex].
for each pair of numbers identify which number is farther from positive 1 explain your reasoning
a. -7 or +3
b. -10 or +7
joseph tweets 13 times a day. define each variable and write an algebraic expression to describe the number of posts after any given number of days
write 2 numbers that fit each description.if there is no such number write none.
1) negative integer
2) negative rational number that is not an integer
3) negative irrational number
A school has 625 students and 325 of them are girls what fraction of the students are girls write your answer in simplest form
A. 13/25
B. 1/2
C. 65/125
D. 20/35
In 1990, one city’s population was 98,064. In 2000, the same city’s population increased by 13,434. In 2010, the city’s population increased by another 7,892.
What was the city's population in 2010?
Help please!
What type of equation will best fit the data below?
Linear
Quadratic
Exponential
What type of equation will best fit the data below?
The given data represents a parabolic curve, that means it is a quadratic equation.
Explanation:
A parabola is defined as a curve with all the points at an equal distance from the focus and the straight line. While calculating the whole parabola, make sure that the equation for the given parabola must be in the standard quadratic form f(x) = ax² + bx + c, where "a" is not equal to zero.
Kyra is particapatiog ina fundraiser walk a thon she walks 2 miles in 30 minutes if she continues to walk at the same rate determine how many minutes it will take her to walk 7 miles use a double line diagram to support your answer. PLEASE HELP ME I LOVE U IF U HELP ME
Help Needed.
Six and a half pounds of oranges cost $5.59. What is the cost of one
pound?
there are four seventh grade math teachers at central middle school mr. abott teaches 120 students in 6 classes mrs. garcia teaches 48 students in 3 classes mrs.nguyen's 5 classes total 109 students and ms. turner has a total of 121 students in 6 classes what is the average number of students in each seventh grade math class at central middle school
Yuna missed 5 points out of 100 on her math test.What decimal number reprents the part of her math test that she answered correctly
Answer:
0.05
Step-by-step explanation:
Given function:
5 of 100find the decimal number1.00=100%=100
this means..
5 of 100=0.05.
joshua swims 25 meters in 1 minute.Draw a graph of meters swam versus time.Find the value of the slope and interpret it in words
Answer:
Given,
The number of meters covered by Joshua in 1 minute = 25 meters,
So, the number of meters covered by him/her in x minutes, ( say y ) = 25x minutes,
⇒ y = 25x,
Which is the equation of line passes through origin,
If x = 1, y = 25,
If x = 2, y = 50,
So, by joining the points (1, 25) and (2,50) we will get the graph,
∵ Slope of a line y = mx + c is m,
By comparing,
The slope of the above line is 25 that shows the rate of change in meters per minute.
Note : x ≥ 0, because number of minutes can not be negative.
Grace sold 5/8 of her stamp collection. What is this amount as a decimal?
find the mean of the integers
-16,-27,21,-19,14,-3
On the album 1989 by Taylor swift, Blank space is 12 seconds longer than shake it off. If the combined time of the two songs is 7 minutes and 30 seconds, how long is Shake It Off? Give your answer in minutes and seconds.
Answer:
Givens:
Blank Space is 12 sec longer than Shake It Off.The duration combined is 7 minutes and 30 seconds, which is 420 seconds.Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be
[tex]B=12+S\\B+S=420[/tex]
Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:
[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]
Then, we replace this value into the first equation
[tex]B=12+S\\B=12+204=216[/tex]
This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.
Therefore, if we express in minutes and seconds, we would have:[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \ 24 sec[/tex]
[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36 sec[/tex]
2/3p-14=p+13
How do I solve this
Which are solutions to y=x-4? Choose all correct answers. (4,0), (3,-1), (6,3), (2,-4)
The coordinates (4, 0) and (3, -1) represents the solution of the function f(x).
We have a function -
y = f(x) = x - 4
We have to identify the possible solutions of this function from the ones mentioned.
What do you understand by the Solution of a function -y = f(x)?The solution of the function is the possible values of x (say a) for which f(a) equals to y.
According to the question -
y = f(x) = x - 4
Case 1 : P(4, 0)
0 = 4 - 4 = 0
P(4, 0) represents a solution
Case 2 : P(3, -1)
-1 = 3 - 4 = -1
P(3, -1) represents a solution
Case 3 : P(6, 3)
3 = 6 - 4 ≠ 2
P(6, 3) does not represents a solution
Case 4 : P(2, -4)
-4 = 2 - 4 ≠ -2
P(2, -4) does not represents a solution
Hence, the coordinates (4, 0) and (3, -1) represents the solution of the function f(x).
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Is sarah is 24 years younger than her mom and if the sum of their age is 68 how old is sarah?
Evaluate for x = 2.
(12x + 8)
4
A) 4
B) 5
C) 6
D) 8
What is the ratio 45:75 simplified
in a local coed softball keague, male to female ratio is 6:6. if there is 160 players in the league, how many are female?
80 divided in a ratio of 3:2
Lucy's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 3 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct. She needs more than 90 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
If a perimeter of a room is 78 feet, what is the area of the floor of the room?
There is a rectangular diagram with the longer written "2w+3"and shorter side has "w" written.
what is the answer to 38.22÷2.6 and how would you show your work
writing an inequality for x that would give this rectangle a perimeter of at least 300 ft.
Length: 3ft
width formula: x+5ft
please show steps!
Answer:
142≤ x.
Step-by-step explanation:
Given : rectangle a perimeter of at least 300 ft and Length: 3ft and width formula: x+5ft.
To find : Writing an inequality for x that would give this rectangle a perimeter.
Solution : We have given length = 3 ft.
Width = x + 5 ft .
Perimeter = 300 feet .
Perimeter = 2 ( length + width ) .
Plugging the values and greater than equal to sign for at least.
300 ≤ 2( 3 + x +5).
300≤ 2( 8 +x) .
300≤ 16 + 2x
On subtracting both sides by 16.
300 -16 ≤ 2x .
284 ≤ 2x.
On dividing both sides by 2.
142≤ x.
We can say x is at least 142.
Therefore, 142≤ x.