Answer:
Answer B as the difference between the values is the same
simplify:- the following fraction
Whole part = 2
Fractional part = 59/396
======================================================
Work Shown:
3 & 3/5 = 3 + 3/5
3 & 3/5 = 15/5 + 3/5
3 & 3/5 = 18/5
--------------------
4 & 8/9 = 4 + 8/9
4 & 8/9 = 36/9 + 8/9
4 & 8/9 = 44/9
--------------------
Now apply the rule that 1/(A/B) = B/A. We apply the reciprocal to the fraction A/B to get B/A
That means something like 1/(18/5) becomes 5/18
Also, 1 over (44/9) becomes 9/44
1 over (3/5) becomes 5/3
-------------------
We now have the following:
(5/18) + (9/44) + (5/3)
We'll come back to this later. But first need the LCD, which means we need the LCM of the denominators.
Write out the prime factorization of each denominator
18 = 2*3*344 = 2*2*113 = 1*3The unique prime factors are: 2, 3, 11
We have 2 occur at most twice, so 2^2 is part of the LCM.We have 3 occur at most twice, so 3^2 is part of the LCMWe have 11 occur at most 1 time, so 11^1 is part of the LCMThe LCM is 2^2*3^3*11^1 = 1188, which is also the LCD
-------------------
We need to get each fraction to have the LCD
5/18 = (5/18)*(66/66) = 330/1188
9/44 = (9/44)*(27/27) = 243/1188
5/3 = (5/3)*(396/396) = 1980/1188
We can now add the fractions like so
(5/18) + (9/44) + (5/3)
(330/1188) + (243/1188) + (1980/1188)
(330+243+1980)/1188
2553/1188
-------------------
We're almost done. We just need to convert to a mixed number, aka mixed fraction
Using a calculator or long division, you should find that
2553/1188 = 2.1489898989899
approximately. Focus just on the stuff to the left of the decimal point. That's the whole part of the answer.
We can then say: 2553-1188*2 = 177
This forms the numerator of the fractional part. The denominator stays at the LCD 1188
That forms the fraction 177/1188. Divide both parts of that fraction by 3 to fully reduce it. You should get to 59/396
-------------------
So that's how we end up with the mixed number 2 & 59/396
a chalkboard is 250 cm long and 60 cm wide what is the area of the chalkboard
Answer:
15000 cm^2
Step-by-step explanation:
Area is found by multiplying the length and width. 250 cm times 60 cm equals 15000 cm squared.
Step-by-step explanation:
by the given information it seems to be the chalkboard is rectangular so the area of rectangle is = length × breadth..
So, 250cm×60cm
=15,000cm² is the Area
please help! urgently
Answer:
sinC = [tex]\frac{4\sqrt{41} }{41}[/tex]
Step-by-step explanation:
We require to find the side DE before finding sinC
Using Pythagoras' identity in the right triangle
DE² + CE² = CD²
DE² + 5² = ([tex]\sqrt{41}[/tex] )²
DE² + 25 = 41 ( subtract 25 from both sides )
DE² = 16 ( take the square root of both sides )
DE = [tex]\sqrt{16}[/tex] = 4 , then
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DE}{CD}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex] , rationalise the denominator
sinC = [tex]\frac{4}{\sqrt{41} }[/tex] × [tex]\frac{\sqrt{41} }{\sqrt{41} }[/tex] = [tex]\frac{4\sqrt{41} }{41}[/tex]
-x+2y=11 on a graph plz help
Answer:
Hope this helps.
simplify and find the absolute value
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you
Step-by-step explanation:
{(-10)-(-15)÷5}
-10+15÷5
-10+3
= -7
what number is not a perfect square
Answer:
1 -1
2-4
3-9
4-16
5-25
6-36
7-49
8-64
9-81
10-100
11-121
12-144
Those are the first 12
Step-by-step explanation:
Solve the expression one half x (48 ÷ 6) − 2 + 5 using PEMDAS.
7
8
9
10
Answer:
7
Step-by-step explanation:
I got it correct on a test
Determine if the product of 2/18 • 3/3 is rational or irrational?
Explain your answer.
Answer:
Rational.
Step-by-step explanation:
2/18=0.1 repeating.
3/3 = 1
Multiplying these together get you 0.1 repeating.
There is only one rule that makes a number irrational.
This is a number that is not divisiable by two integers, and is not capable of being expressed as a fraction.
0.1, as we know, can be written as 2/18, or 1/9.
So it must be a rational number.
Something you may not know - Rational numbers CAN be infinitly repeating numbers.
For instance, 0.111 like shown above is repeating, and its rational.
However, pi is a repeating number...but its irrational.
This is not because its infinitly repeating, this is actually becuase it is not divisiable by two numbers, and cannot be put into fraction form.
Some people think infinitly repeating numbers are irrational, however this is not correct, for some fractions are actually repeating.
Hope this helps!
Can somebody pls help !!
Answer:
$26.84
Step-by-step explanation:
We have to find 10% of 268.40. To do that, we multiply it by 0.10:
268.40 * 0.1 = 26.840, or $26.84
what is the width of a rectangle if the length is 5cm
Answer:
it's can be anything from 1 to infinite.
Second Number Cube
1
2.
3
4
5
6
First Number Cube
locN-
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
How many possible outcomes are there?
O 6
12
Answer:
36
Step-by-step explanation:
summation of all the outcome
There are 36 possible outcomes is shows in table for rolling two six - sided number cubes.
What is mean by Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The table shows all the possible outcomes for rolling two six - sided number cubes.
Now, We know that;
For rolling one six - sided number cubes,
There is 6 possible outcomes.
Hence, For two six - sided number cubes.
Number of possible outcomes = 6 × 6
= 36
Thus, There are 36 possible outcomes is shows in table for rolling two six - sided number cubes.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ7
Please help I don’t know how to do this
Step-by-step explanation:
I cannot see all the answer options.
square garden, side length x.
area = x² (or x×x)
new area r = (x-p)(x+q) = x² - px + qx - pq =
= x² + (q - p)x - pq
3D printer. costs p in general.
makes x figurines.
material per figurine costs q.
costs per figurine r = q + p/x
as the printer costs themselves need to be distributed equally across all produced figurines.
investment account. q% pretty year.
p dollars starting balance.
letting it sit for x years.
a0 = p
a1 = a0 + a0×q/100 = a0 × (1 + q/100)
a2 = a1 + a1×q/100 = a1×(1 + q/100) = a0×(1 + q/100)²
a3 = a2 + a2×q/100 = a2×(1 + q/100) = a0×(1 + q/100)³
...
ax = a0×(1 + q/100) to the power of x =
= p × (1 + q/100) to the power of x
account without interest. p dollars are already in it.
adding q dollars every month for x months.
balance after these x months
r = x×q + p = q×x + p
There were 7200 cars involved in a survey. 17% were driven by women. a What percentage were driven by men? b How many were driven by men?
Answer:
83%
Step-by-step explanation:
Percentage of cars driven by man = total percentage - percentage of car driven by women
= 100-17
= 83%
Find the sum of the first terms of the sequence
Answer:
-4+8+-16+32+-64+128 = 84
Step-by-step explanation:
The fifth and sixth terms are -64 and 128
Which term best describes a major arc of a circle that has the same starting
and ending point?
A. Diameter
B. Chord
O
C. Radius
D. Circumference
Answer:
Circumference! it's the major arc whose starting and ending point coincide.
help please asap!!! working too please not just the answers!!
Answer:
Area = 4600m
explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step
Answer:
244280
Step-by-step explanation:
you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280
Solve the proportion
[tex]y = \frac{28}{5} [/tex]
Answer:
[tex]y=5.6[/tex] or [tex]y=28/5[/tex]
Step-by-step explanation:
4/5 = y/7
⇒ Cross multiply:
4 × 7 = 5 × y
⇒ Multiply 4 × 7 & 5 × y:
[tex]28=5y[/tex]
⇒ Solve the formed equation:
[tex]28=5y[/tex]
⇒ Move all the terms containing y to the right side and the other values to the left side:
⇒ Add '-5y' to each side of the equation:
[tex]28+-5y=5y+-5y[/tex]
⇒ Combine like terms: [tex]5y+-5y=0[/tex]
[tex]28+-5y=0[/tex]
⇒ Add '-28' to each side of the equation:
[tex]28+-28+-5y=0+-28[/tex]
⇒ Combine like terms: [tex]28+-28=0[/tex]
[tex]0+-5y=0+-28[/tex]
[tex]-5y=0+-28[/tex]
⇒ Combine like terms: [tex]0+-28=-28[/tex]
[tex]-5y=-28[/tex]
⇒ Divide each side by '-5':
[tex]y=5.6[/tex] or [tex]y=28/5[/tex]
hope this helps :)
100 students are interviewed to see which of biology, chemistry or physics they prefer.
57 of the students are girls. 34 of the girls like biology best.
27 of the boys prefer physics.
20 out of the 28 who prefer chemistry are girls.
What percentage of the students prefer biology?
Step-by-step explanation:
everything can be found in the picture
n is an integer
Write the values of n such that [tex]-8\leq 4n\ \textless \ 12[/tex]
Answer:
-2, -1, 0, 1, 2,
Step-by-step explanation
Divide the whole thing by 4.
You will have -2 [tex]\leq[/tex] n < 3
The only values that fit range from -2 to 2.
In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12
Answer:
4
Step-by-step explanation:
Write the equation in slope-intercept form from the graph
Answer:
[tex]1) y=\frac{1}{2} x+1[/tex]
[tex]2)y=-x-1[/tex]
[tex]3)y=-\frac{1}{2} -3[/tex]
Step-by-step explanation:
Hope this helps
Order the list of numbers from least to greatest.
Answer:
0, 0.5, 8/3, root 5, 3.1
The following equation 3(2x - 1) = 6(1 + 1) has infinite solutions True False
Answer:
False
Step-by-step explanation:
3(2x - 1) = 6(1 + 1)
Distribute
6x -3 = 6(2)
6x -3 = 12
Add 3 to each side
6x =15
x = 15/6
There is one solution
Answer:
False.
Step-by-step explanation:
3(2x - 1) = 6 (1+1)
3*2x - 3*1 = 6*2
6x - 3 = 12
Add 3 to both side
6x = 12+ 3
6x = 15
Divide both sides by 6
x = 15/6
x = 2.5
This equation has one solution
In a class test.containing 15 questions 4 marks are given for every correct answer and -2 marks are given for every wrong answer james attempt all the question but only 9 of his answers correct .What is his total score
Answer:
48
Step-by-step explanation:
(9*4) + (6*2)
36 + 12
= 48
Step-by-step explanation:
no:questions=15
correct questions =9
marks for correct answers =9×4=36
incorrect answers=6
marks for incorrect answers =(-2)×6=(-12)
full marks =36 - (-12)
=36 + 12
=48
help help help help help
Answer:
y = 45
Step-by-step explanation:
y = 9x
input = 5
y = 9(5)
9(5) = 45
y = 45
Based on given information for each of the following, which lines cannot be parallel?
b) Angle 69 degrees, angle 7=71 degrees
c) Angle 1=103 degrees, angle 4=105 degrees
PLSSS HELP THANKS!!
Answer:
Step-by-step explanation:
C
Answer:
c
Step-by-step explanation:
Find the distance between the points (11,4) and (10,5)
help i need this asap
Answer:
The minimum is -4
Step-by-step explanation:
The minimum is the lowest point on the parabola
It is at (-3,-4)
The y value is the minimum of the function
The minimum is -4
Math a challenging subject, sigh...
Are the two triangles similar? How do you know? Explain your reasoning thoroughly.
Answer:
Yes, the triangles are similar ([tex]\triangle HMG \sim \triangle KMJ[/tex]).
Step-by-step explanation:
We're given that the two triangles share at least one angle, angles H and K. The two angles in the triangles at point M, [tex]\angle HMG[/tex] and [tex]\angle KMJ[/tex] are vertical angles, meaning they are on opposite sides of a point of intersection between two lines. Since vertical angles are always equal, these two angles are also equal.
If two triangles share two angles, they must share all three, because all triangles have a total sum of interior angles of 180 degrees. Therefore, the triangles share all 3 angles. AAA (Angle-Angle-Angle) is a proof of similarity, where two triangles share all three of their angles. Thus, the two triangles are similar.
Similarity statement (vertices should correspond):
[tex]\triangle HMG \sim \triangle KMJ[/tex]