They’re the same.
Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.
So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.
1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.
Answer:
The are the same.
Step-by-step explanation:
Because both begin with a 1, ignore that for now.
You have 4/6 and 14/21. Do your best to reduce each. Think about a number that can go into each.
Start with 4/6. They are both even numbers, so 2. 4/2 = 2 and 6/2 = 3
so 4/6 can be reduced to 2/3.
14/21 is trickier, one is odd and the other is even, so no even number will work. 3 can't go in to 14, or 5, but 7 can, and cool! 7 can go in to 21 as well!
14/7 = 2 21/7 = 3 so 14/21 can be reduced to 2/3!
You can also use a common denominator, but you need a calculator for this problem. To solve that way you would take 4/6 and multiply by 21/21 and you would multiply 14/21 by 6/6, this way you'll end up with 126 on the bottom, and you'll see you get 84 on the top.
[tex]\frac{4}{6} * \frac{21}{21} = \frac{84}{124}[/tex]
[tex]\frac{14}{21} * \frac{6}{6} = \frac{84}{124}[/tex]
This is much harder without a calculator. Always try and reduce first, because if you end up having to find a common denominator, it will be smaller and more manageable.
y/2 - 1/5 = 2 - y/3
please tell me this asap
Answer:
y=2 16/25
in other words, two and sixteen twenty-fifths
Step-by-step explanation:
y/2-1/5=2-y/3
Move the variables to one side and constants to the other
y/2+y/3=2+1/5
Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator
3y/6+2y/6=2 1/5
5y/6=11/5
Cross multiply
66=25y
y=66/25
y=2 16/25
HOPE THIS HELPS!!!
What is the first step in solving the equation 4.2 y minus 5.2 = 18.5?
Answer:
add 5.2
Step-by-step explanation:
A cell phone manufacturer designed the new packaging shown below that will hold a cell phone, accessories, and an owner's manual. Which is the volume of the new packaging? A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches. The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches. 130 in.3 120 in.3 110 in.3 90 in.3
Answer:
90 inches³
Step-by-step explanation:
Given that:
A small rectangular prism sitting on top of a larger rectangular prism. The top prism measures 5 inches by 1 inch by 2 inches.
The bottom prism measures 5 inches by 4 inches by 1 plus 3 inches
Volume of rectangular prism = (width * length * height)
Volume of smaller prism: ( 5 * 1 * 2) inches = 10inch³
Volume of larger prism : (5 * 4 * (1 +3)) inches
(5 * 4 * (1 +3)) inches = (5 * 4 * 4) inches = 80 inches³
Total volume of the new packaging:
Volume of smaller + volume of larger prism
10 inches³ + 80 inches³ = 90 inches³
What is the equation of the polynomial function?
Answer:
f(x) = (1/2)(x-2)^2(x+1)(x+2)
Step-by-step explanation:
You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.
Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.
However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.
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Solve for x.
0.3 (12x – 16) = 0.4(12 — 3x)
A: 2
B: -4
C: 4
D: -2
Answer:
Step-by-step explanation:
the answer is 2 if you go to the website www.tiger-algerbra.com>drill>0.3(12x-16)=0.4(12-3x)
2x - 4y=28+6y=10
Write equation in slope-intercept form
Answer:
Step-by-step explanation:
Y=1/2x - 5/2
Consider the partial construction of a line parallel to liner through point Q.
What would be the final step in the construction?
Draw a line through P and S.
Draw a line through W and S.
Draw a line through Q and S.
Draw a line through T and S.
Answer:
Option (3)
Step-by-step explanation:
To construct a line parallel to the line through point Q we will follow the following steps,
1). We join two points P (on the line) and point Q above the line PT with the help of a straightedge.
2). Now we will copy the angle QPT at point P with the help of a compass (Arcs as shown in the figure)
3). Finally we will join points Q and S to construct a line QS parallel to the line PT.
Therefore, Option (3) will be the answer.
At a place 11 Friends met together and they shook their hands. how many hand-shakings did they do?
Answer:
121
Step-by-step explanation:
Because every one of them shook with each other and one person shook 11 times so 11 into 11 is 121.
Answer:
55 handshakes.
Step-by-step explanation:
n(n-1)
----------
2
= 11(11-1) / 2
= 11* 10 / 2
= 110 / 2
= 55
The relationship between two variables is inverse when a decrease in one variable is associated with an increase in the other variable. A. False B. True
Answer: True
If one variable goes down, then the other goes up, and vice versa. Think of it like a see-saw. We'll have x on one side pushing down to make y go up. An example of this would be y = 1/x which graphs out a hyperbola.
The statement "two variables is inverse when a decrease in one variable is associated with an increase in the other variable." is True statement.
What is Inverse Proportion?One kind of proportionality relationship is inverse proportion. If two quantities are inversely related, one will increase while the other will decrease. Building a wall would be an example of an inverse proportion in action.
Given:
We know in direct relation if one quantity increase then another quantity increase.
and, in Inverse Relation if one quantity increase then other Quantity decrease.
So, two variables is inverse when a decrease in one variable is associated with an increase in the other variable is true statement.
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A container holds 2/3 gallon of apple juice if four people from the cross country track trans share the juice equally how much juice will each team member get
Answer:
you divided and the answer is 1/6
Step-by-step explanation:
Answer:
1.) You would divide to solve this problem.
2.) Each runner will get 1/6 gallon of apple juice.
Step-by-step explanation:
I'm SO sorry for the late answer, but I do hope this helps! Have a good day and stay safe! :D
(I'm not sure on how to explain this answer, sorry!)
The population of a small town can be described by the equation PN equals 4000+70n. Where n is the number of years after 2005. Explain in words what this equation tells us about how the population is changing.
Answer:
The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).
Explain why angle is considered a defined term in geometry.
Answer:
Step-by-step explanation:
In Euclidean geometry there are three undefined terms: Points, line and plane. An angle is a defined term, since it is formed by two lines that intersects each other and are coplanar.
If f(x) = 5x + 40, what is f(x) when x = -5? 0 g -8 O 7 O 15
answer is 15
[tex]f(x)=5x+40\\f(-5)=5(-5)+40\\f(-5)=-25+40\\f(-5)=15[/tex]
If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.
option D is correct.
Here, we have,
given that,
f(x) = 5x + 40
now, we have to find the value of f(x) when x = -5.
To find the value of f(x) when x = -5,
we substitute -5 into the function f(x) = 5x + 40:
we get,
f(-5) = 5(-5) + 40
= -25 + 40
= 15
Therefore, f(x) when x = -5 is 15.
Hence, If f(x) = 5x + 40, then the value of f(x) when x = -5 is: 15.
option D is correct.
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I want the answer for this doubt Click on the link
Answer:
[tex] {x}^{2} = 16 \\ x = 4 \\ y = 1[/tex]
4x - 4y = 1 Solve the equation for y. 10 points!
Answer:
infinite solutions
y = x - 1/4
Step-by-step explanation:
4x - 4y = 1
4y = 4x - 1
y = x - 1/4
substitute
4x - 4(x - 1/4) = 1
4x - 4x + 1 = 1
0 = 0
infinite solutions
A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = the cube root of x gives the side length, in inches, for a cube with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?
Step-by-step explanation:
Initially, let the side of the cubical box is [tex]a[/tex] inches,
So, the volume of the box, [tex]x = a \times a \times a= a ^3[/tex].
Given that [tex]g(x)=\sqrt[3]{x} =\sqrt[3]{a^3}[/tex]
[tex]\Rightarrow g(x)=a \; \cdots (i)[/tex]
On doubling the volume of the box, the new volume is [tex]2x[/tex].
So, [tex]g(x)=\sqrt[3]{2x} =\sqrt[3]{2a^3}[/tex]
[tex]\Rightarrow g(x)=\sqrt[3]{2} a \; \cdots (i)[/tex]
As [tex]\sqrt[3]{2} >1[/tex], so the graph of [tex]g(x)=\sqrt[3]{2} a[/tex] will be above of the [tex]g(x)=a[/tex] as shown in the graph.
NEED HELP WITH NUMBER 4!!!?
on the number line the numbers to the left have least value
M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM
Answer:
[tex]AM =40[/tex]
Step-by-step explanation:
Given
[tex]AM = 5x + 10[/tex]
[tex]MB = 4x + 16[/tex]
Required
Determine AM
Since M is the midpoint, we have that;
[tex]AM = MB[/tex]
Substitute values for AM and MB
[tex]5x + 10 = 4x + 16[/tex]
Collect Like Terms
[tex]5x - 4x = 16 - 10[/tex]
[tex]x = 6[/tex]
To solve for AM; substitute 6 for x in [tex]AM = 5x + 10[/tex]
[tex]AM = 5 * 6 + 10[/tex]
[tex]AM =30 + 10[/tex]
[tex]AM =40[/tex]
simply by distributing and combining like terms
-7(w-4)+3w-27
Answer:
answer is in the box. I hope this helps! :)
There are 2 students in James' class. How many students remain if 3 go outside?
Answer:
-1
Step-by-step explanation:
Have to FOIL: (3x + y) (2x - y)
Hi there! :)
Answer:
6x² -xy - y²
---- --- --- --- --- --- --- --- --- --- --- ---
(3x + y) ( 2x - y)
FOIL: (First, Outer, Inner, Last)
3x(2x) + 3x(-y) + y(2x) + y(-y)
Simplify:
6x² -3xy + 2xy - y²
6x² -xy - y²
Solve for m: am/c = n
Hey there! I'm happy to help!
We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.
am/c=n
We multiply both sides by c.
am=nc
We divide both sides by a.
m=(nc)/a
I hope that this helps! Have a wonderful day! :D
A graph where the horizontal axis shows time (t), numbered 1 to 4, and the vertical axis shows height (h) numbered 10 to 60. Solid circles appear at point (0, 48), point (1, 64), point (3, 0). A solid curved line connects all 3 points.
Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.
What is the domain?
Answer:
the answer is A
Step-by-step explanation:
just did it
Answer:
a
Step-by-step explanation:
solve for the variable.
r
—— + 4 = 5
10
help quick!
-n if n = -16 I need help
(It says high school at the top but it's supposed to be middle school)
Answer: 16 is the correct answer.
Step-by-step explanation: -n if n=-16 --16 two negatives equal positive and makes it +16.
Area of square = 135 mm²
Perimeter of square=
Answer:
About 11.62 by 11.62
A square had equal sides so you find the square root of 135 and that is rounded to 11.62.
So the perimeter would be about 46. But 46.48 exactly.
Answer:
P≈46.48
A= Area
135
Step-by-step explanation:
Express y in terms of x, given 2x+3y =4. Check whether the point (2,1) lies on the given line.
Answer:
see explanation
Step-by-step explanation:
Given
2x + 3y = 4 ( subtract 2x from both sides )
3y = - 2x + 4 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex]
To determine if the point (2, 1) lies on the line, substitute x = 2 into the right side of the equation and if the value obtained equals the y- coordinate of the point then it lies on the line.
y = - [tex]\frac{4}{3}[/tex] + [tex]\frac{4}{3}[/tex] = 0 ≠ 1
Ths (2, 1) does not lie on the line
The difference between a number and 20 is 45...
Answer:
Step-by-step explanation:
25
The electrical resistance of a wire, R, varies directly as its length, L, and inversely as its cross sectional area, A. If the resistance of a wire is 0.08 ohm when the length is 100 ft and its cross-sectional area is 0.05 in^2 , what is the resistance of a wire whose length is 4000 ft with a cross-sectional area of 0.02in^2 ? a) Write the variation equation. (R=k(l/a) b) Determine the value of the quantity indicated. WILL MARK BRAINLIEST - 50PTS! NEED FAST - with work please so I understand how to do it, thank you:)
Step-by-step explanation:
(A)
Length of wire = 30.48 m
Area of cross section = 3.22 * 10 ^ -5 m^2
[tex]R = k \frac{l}{a} [/tex]
[tex]k = \frac{R \times a}{l} = \frac{0.08 \times 3.22 \times {10}^{ - 5} }{30.48} = 8.45 \times {10}^{ - 8} ohm \: m^{ - 1} [/tex]
(B) length of wire = 1219.2 m
Area of cross section = 1.29 * 10^-5 m^2
Resistance = 8.45 * 10^-8 * 1219.2 / 1.29 * 10^-5 = 7.98 Ohms
Identify 21, 46, and 57 as prime or composite.
HELP!!
21 is composite because its factors are 1, 3, 7 and 21. If a number has 3 or more factors, then it's composite.
46: 1, 23, 46.
57: 1, 3, 19, 57.
Hope this helps!
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[tex]GraceRosalia[/tex]
The numbers 21, 46, and 57 are composite numbers.
Given,
21, 46 and 57
We need to identify which are prime or composite numbers.
What are prime numbers and composite numbers?Prime number - The numbers whose factor is only 1 and itself.
Example: 2, 5, 7
2 x 1 = 2
5 x 1 = 5
7 x 1 = 7
Composite number - The numbers which have factors other than itself and 1.
Example: 4, 6, 8
4 = 2 x 2
6 = 2 x 3
8 = 2 x 4
Find the factors
21 - 7 x 3
46 - 2 x 23
57 - 3 x 19
We see that each number has factors other than 1 and itself.
So,
21, 46, and 57 are composite numbers.
Thus 21, 46, and 57 are composite numbers.
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