My mom doesn't understand this question:
[tex]7\frac{1}{5} - 5\frac{1}{4}[/tex]
Please solve this equation step by step and explain, preferably with multiple methods. I tried explaining it to her but she still doesn't get it.
Thanks!
The solution of the given expression is-
[tex]7\frac{1}{5} -5\frac{1}{4} = 1\frac{19}{20}[/tex]
We must first transform mixed fractions into improper fractions before we can subtract them.
Let's transform [tex]7\frac{1}{5}[/tex] it into an improper fraction :
[tex]7 \frac{1}{5} = \frac{(7 * 5 + 1)}{5} = \frac{36}{5}[/tex]
Let's change [tex]5\frac{1}{4}[/tex] into an improper fraction now:
[tex]5\frac{1}{4} = \frac{(5 * 4 + 1)}{4} = \frac{21}{4}[/tex]
We can now subtract the fractions:
To subtract fractions, we need to find a common denominator. The least common multiple or the LCM of 5 and 4 is 20.
Converting the fractions to have a common denominator of 20:
(36/5) * (4/4) = 144/20
(21/4) * (5/5) = 105/20
So the subtraction will be as follows:
[tex]\frac{36}{5} -\frac{21}{4} =\frac{(36*4)+(21*5)}{4*5} =\frac{144-105}{20}=\frac{39}{20}[/tex]
Therefore, [tex]7\frac{1}{5} -5\frac{1}{4}[/tex] is equal to [tex]\frac{39}{20}[/tex] or, [tex]1\frac{19}{20}[/tex] .
The solution of the given expression is-
[tex]7\frac{1}{5} -5\frac{1}{4} = 1\frac{19}{20}[/tex]
To know more about mixed fractions, improper fractions,
https://brainly.com/question/28957298
1.Justin was tracking the growth of his new plant. His plant grew 2 inches every week.His plant was 10 inches when he got it, and 12 inches in the second week. Haw many inches tall was his plant in the sixth week?
2.If Justin's partern of growth continues, how tall will his plant be in the ninth weeks.
Answer:
1.20 inches
2.26
Step-by-step explanation:
6-2=4
so 4 weeks
4x2=8
8 more so 8+12=20
20 +((9-6)x2)=20+(3x2)=26
Answer:
1. 20 in
2. 26 in
Step-by-step explanation:
6-1=5
5*2=10
10in+10in=20in
(9-1)*2=16
16+10=26
The charts show the distribution of data for two classes on the time they spend on homework. Use center measures and variability measures to compare the average time spent on homework by both classes.
Answer:
40 is the median of both classes
Step-by-step explanation:
Q3-Q1=15
Q3-Q1=30
A box and whisker plot shows the five number summary from a data-set, listed and explained as follows:
The minimum non-outlier value.The 25th percentile, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.For measure of center, we use the median of each data-set, as follows:
Class 1: 40 minutes.Class 2: 40 minutes.For measure of variability, we use the interquartile range of each data-set, as follows:
Class 1: 45 - 30 = 15 minutes.Class 2: 60 - 30 = 30 minutes.More can be learned about box plots at brainly.com/question/3473797
#SPJ1
In a game, each player spins two spinners A and B. Spinner A is divided into thirds, filled with colors Black, Green, and Red. Spinner B is divided into thirds, numbered 1, 2, and 3. What are all the possible outcomes? How many possible outcomes are in the sample space?
Please help ASAP!! -Screenshot-
Answer:
5. 36
6.5
7.150
8.320
Step-by-step explanation:
Answer:
5. 36 students
6. 5 questions
7. 150 students
8. 320 bags
A circle has a diameter of 8 inches. What is the area of this circle? Use 3.14 for pi.
(100 POINTS I NEED THE ANSWER SO I PASS THIS YEAR)
Given that a circle has a diameter of 8 inches and we are required to find its area using 3.14 as pi.
We know that the formula for calculating the area of a circle is A = πr², where A is the area, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle.
Since we are given the diameter of the circle, we can calculate its radius using the formula: radius (r) = diameter/2
Therefore, the radius of this circle is: r = 8/2 = 4 inches
Now, we can calculate the area of the circle using the formula: A = πr² Substituting the value of r, we get: A = 3.14 x 4² A = 3.14 x 16 A = 50.24 square inches
Therefore, the area of the circle is 50.24 square inches.
The answer is:
50.24 in²Work/explanation:
The formula for the circle's area :
[tex]\sf{A=\pi r^2}[/tex]
where :
A = areaπ = 3.14r = radiusWe know the diameter, but the radius is one-half of that, so the radius is :
Radius = Diameter ÷ 2 = 8 ÷ 2 = 4 inchesHere's a diagram for better understanding:
[tex]\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\small 4\ in}\end{picture}[/tex]
Now, plug in the data:
[tex]\large\begin{gathered}\bf{A=\pi r^2}\\\\\bf{A=3.14\times4^2}\\\\\bf{A=3.14\times16}\\\\\bf{A=50.24\:in^2}\end{gathered}[/tex]
Therefore, the area is 50.24 in².4 liters of 2% milk contains 8% cholesterol. A container of skim milk contains 2% cholesterol. How many liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol?
I will give Brainliest. Please answer ASAP
Answer:
-by-step explanation:
It should be 32.56 mg hope this answers your question
Find the x- and y- intercepts of this two-variable equation:
y = 5 + x
To find the x-intercept, we set y = 0 and solve for x:
0 = 5 + x
Subtracting 5 from both sides:
x = -5
Therefore, the x-intercept is -5.
To find the y-intercept, we set x = 0 and solve for y:
y = 5 + 0
Simplifying:
y = 5
Therefore, the y-intercept is 5.
The x-intercept is (-5, 0).
The y-intercept is (0, 5).
Answer:
x: -5,0
y: 0,5
Step-by-step explanation:
y=0
0=5+x
x=-5
x=0
y=5+0
y=5
Which statement compares the fractions three fourths and four twelfths correctly?
A. three fourths < four twelfths
B. three fourths = four twelfths
C. four twelfths > three fourths
D. three fourths > four twelfths
Answer:
D
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] [tex]\frac{4}{12}[/tex] To compare you can use a common denominator. In this case, that would be 12
[tex]\frac{3}{4}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{9}{12}[/tex] Now we can compare
[tex]\frac{9}{12}[/tex] > [tex]\frac{4}{12}[/tex] so,
[tex]\frac{3}{4}[/tex] > [tex]\frac{4}{12}[/tex]
Helping in the name of Jesus.
Identify the property:
4(0.25) = 1
Answer:
Symmetric property
Step-by-step explanation:
The symmetric property states that if a = b, then b = a. In other words, if one side of an equation is equal to the other side, then the two sides are interchangeable. This is symbolized by the following equation: a = b if and only if b = a. The symmetric property is used to solve equations with two variables.
Answer:
The answer is Symmetric Property.
I'm not sure how to solve these types of questions, I need help. Thank you!
Answer:
The x-intercept is (-5, 0).
The y-intercept is (0, 5).
Step-by-step explanation:
To find the x-intercept, we set y = 0 and solve for x:
0 = 5 + x
x = -5
Therefore, the x-intercept is (-5, 0).
To find the y-intercept, we set x = 0 and solve for y:
y = 5 + 0
y = 5
Therefore, the y-intercept is (0, 5).
Answer:
x-intercept is (-5,0)
y-intercept is (0,5)
Step-by-step explanation:
We are given a linear equation and are asked to find the x- and y-intercepts of the equation.
[tex]\Huge{y=5+x[/tex]
[tex]\hrulefill[/tex]
What are x- and y-intercepts?In mathematics, the terms "x-intercept" and "y-intercept" refer to points where a graph intersects the x-axis and y-axis. They are important concepts in the study of functions and graphs.
The x-intercept is the point at which a graph crosses or intersects the x-axis. It represents the value of x when y is equal to zero. In other words, it is the value of x when the function or equation is satisfied with y = 0. The x-intercept is often denoted as (x, 0), where "x" is the x-coordinate of the point.
Similarly, the y-intercept is the point at which a graph crosses or intersects the y-axis. It represents the value of y when x is equal to zero. Geometrically, it is the point on the graph where x = 0. The y-intercept is often denoted as (0, y), where "y" is the y-coordinate of the point.[tex]\hrulefill[/tex]
(1) - Finding the x-intercept
To find the x-intercept, you set y equal to zero and solve the equation for x.
[tex]y=5+x\\\\\\\text{Let y=0}\\\\\\\Longrightarrow 0=5+x\\\\\\\Longrightarrow \boxed{x=-5}[/tex]
Thus, the x-intercept is (-5,0).
(2) - Finding the y-intercept
To find the y-intercept, you set x equal to zero and solve the equation for y.
[tex]y=5+x\\\\\\\text{Let x=0}\\\\\\\Longrightarrow y=5+0\\\\\\\Longrightarrow \boxed{y=5}[/tex]
Thus, the y-intercept is (0,5).[tex]\hrulefill[/tex]
We can check this answer using a graphing calculator. Simply type in the given function and see were the function crosses each axis. Refer to the attached image.
I need help with this question, I'm not very good at math and all help is appreciated!
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
[tex]\frac{J}{H} = G + \frac{I}{H}[/tex] >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
[tex]\frac{J}{H}- \frac{I}{H} = G[/tex] >There is a common denominator so you can
combine the fractions
[tex]\frac{J-I}{H} = G[/tex] >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
[tex]J-I = G(H)[/tex] >Divide both sides by G
[tex]\frac{J-I}{G} = H[/tex] >Answer is A
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
