Josh is trying to find the least common multiple (LCM) of 6 and 8. His work is shown at the right. What is Josh's mistake?
Explain how to find the correct LCM of 6 and 8.
Answers
Answer: C is the valid answer to the mistake part
Step-by-step explanation:
6: 2x 3
8: 2x 2 x 2
all together: 2x2x2x2x3 = 48
They were finding the prime factorization and what they were trying to find was the lcm.
Related Questions
X3
If x = 7, what is the value of the expression above?
A. 21
B. 147
C. 343
D. 2,187 plz explain
Answers
Answer:
A
Step-by-step explanation:
if X is 7, and is connected/touching the three. You have to multiply and 7×3=21
If the question is X to the power 3 then the answer is 343 (7 to the power 3 or 7 multiplied by 7 and then multiplied by 7 again)
Someone please help me with this and explain it please.
Answers
===========================================
Explanation:
Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)
2pi = 6.28sqrt(42) = 6.48sqrt(34) = 5.83We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48
So the order of the terms, from smallest to largest, is [tex]\sqrt{34}, 6, 2\pi, \sqrt{42}[/tex]
Can anyone please do these questions? This is Unit 1 Geometry basics Homework 5 Angle Relationships.
Answers
Answer:
Step-by-step explanation:
11). 6x + 7 = 8x - 17 [Since vertical angles are equal in measure]
8x - 6x = 17 + 7
2x = 24
x = 12
12). (11x - 15) + (5x - 13) = 180°
16x - 28 = 180°
16x = 180 + 28
16x = 208
x = 13
13). Since DB⊥AC,
m∠CBD = 90°
m∠CBE + m∠DBE = 90°
(5x - 42) + (2x - 1) = 90°
7x - 43 = 90
7x = 133
x = 19
14). Since QS bisects angle PQR,
m∠PQS = m∠RQS
10x + 1 = [tex]\frac{82}{2}[/tex]
10x + 1 = 41
10x = 40
x = 4
15). 10x - 61 = 18y + 5 [Vertical angles]
10x - 18y = 61 + 5
10x - 18y = 66
5x - 9y = 33 ------(1)
(18y + 5) + (x + 10) = 180 [linear pair of angles are supplementary]
18y + x + 15 = 180
x + 18y = 165 ------(2)
By adding equation (1)×2 and equation (2)
(10x - 18y) + (x + 18y) = 66 + 165
11x = 231
x = 21
16). (5x - 17) + (3x - 11) = 180 [[linear pair of angles are supplementary]
8x - 28 = 180
8x = 180 + 28
8x = 208
x = 26
(3x - 11)° = 78 - 11
= 67°
67° + 90° + (2y + 5)°= 180° [Sum of angles on a line]
162 + 2y = 180
2y = 180 - 162
2y = 18
y = 9
17). NP bisects ∠MNQ.
Therefore, m∠MNQ = 2(m∠PNQ)
8x + 12 = 2×78
8x + 12 = 156
8x = 156 - 12
8x = 144
x = 18
m∠MNQ = (8x + 12)° = 156°
m∠RNM = m∠ONQ [Vertical angles]
(3y - 9)° = 180° - m∠MNQ
3y - 9 = 180 - 156
3y - 9 = 24
3y = 33
y = 11
Using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:
11. x = 12
12. x = 13
13. x = 19
14. x = 4
15. x = 21; y = 8
16. x = 26; y = 9
17. x = 18; y = 11
Applying the knowledge of angle relationships, we can solve each given problem by first, creating a an equation from the relationship between angles, then solve for the variables.
11. [tex]6x + 7 $ and $ 8x - 17[/tex] are vertical angles.
Since vertical angles are congruent, therefore:[tex]6x + 7 = 8x - 17[/tex]
Solve for x[tex]6x - 8x = -7 - 17\\\\-2x = -24\\\\x = 12[/tex]
12. [tex]11x - 15 $ and $ 5x - 13[/tex] are linear pair angles.
Since, the sum of linear pair angles equals 180 degrees, therefore:[tex](11x - 15) + (5x - 13) = 180[/tex]
Solve for x[tex]11x - 15 + 5x - 13 = 180\\\\16x - 28 = 180\\\\16x - 28 + 28 = 180 + 28\\\\16x = 208\\\\x = 13[/tex]
13. <DBE and <CBE are complementary angles.
Since the some of complementary angles equals 90 degrees, therefore,[tex]m \angle DBE + m \angle CBE = 90[/tex]
Substitute[tex](2x - 1) + (5x - 42) = 90[/tex]
Solve for x[tex]2x - 1 + 5x - 42 = 90\\\\7x - 43 = 90\\\\7x = 90 + 43\\\\7x = 133\\\\x = 19[/tex]
14. Since QS bisects <PQR, therefore,
m<PQS = 1/2(PQR)
Substitute[tex]10x + 1 = \frac{1}{2} (82)[/tex]
Solve for x[tex]10x + 1 = 41\\\\10x = 41 - 1\\\\10x = 40\\\\x = 4[/tex]
15. [tex](x + 10) $ and $ (10x - 16)[/tex] are linear pair angles.
Since the sum of linear pair angles equals 180 degrees, therefore,[tex](x + 10) + (10x - 16) = 180\\[/tex]
Solve for x[tex]x + 10 + 10x - 61 = 180\\\\11x - 51 = 180\\\\11x = 180 + 51\\\\11x = 231\\\\x = 21[/tex]
Find y:Since [tex](10x - 61) $ and $ (10y + 5)[/tex] are vertical angles, they are congruent. Therefore,
[tex](10x - 61) = (10y + 5)[/tex]
Plug in the value of x and solve for y[tex]10(21) - 61 = 18y + 5\\\\149 = 18y + 5\\\\149 - 5 = 10y\\\\144 = 18y\\\\8 = y\\\\\mathbf{y = 8}[/tex]
16. Since [tex](5x - 17) $ and $ (3x - 11)[/tex] are linear pair, their sum equals 180 degrees. Therefore,
[tex](5x - 17) + (3x - 11) = 180[/tex]
Solve for x[tex]5x - 17 + 3x - 11 = 180\\\\8x - 28 = 180\\\\8x = 180 + 28\\\\8x = 208\\\\x = 26[/tex]
Find y:[tex](2y + 5) + 90 + (3x - 11) = 180[/tex] (angles on a straight line = 180 degrees)
Plug in the value of x and solve for y[tex]2y + 5 + 90 + 3(26) - 11 = 180\\\\2y + 5 + 90 + 78 - 11 = 180\\\\2y + 162 = 180\\\\2y = 180 - 162\\\\2y =18\\\\y = 9[/tex]
17. Since NP bisects <MNQ, therefore,
[tex]m \angle PNQ = \frac{1}{2}(m \angle MNQ)[/tex]
Substitute[tex]78 = \frac{1}{2}(8x + 12)[/tex]
Solve for x[tex]78 \times 2 = 8x + 12\\\\156 = 8x + 12\\\\156 - 12 = 8x \\\\144 = 8x\\\\18 = x\\\\x = 18[/tex]
[tex]m \angle RNM + m \angle MNQ = 180^{\circ}[/tex] (linear pair)
Substitute[tex](3y - 9) + (8x + 12) = 180[/tex]
Plug in the value of x and solve for y[tex]3y - 9 + 8(18) + 12 = 180\\\\3y - 9 + 144 + 12 = 180\\\\3y + 147 = 180\\\\3y = 180 - 147\\\\3y = 33\\\\y = 11[/tex]
Therefore, using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:
11. x = 12
12. x = 13
13. x = 19
14. x = 4
15. x = 21; y = 8
16. x = 26; y = 9
17. x = 18; y = 11
Learn more here:
https://brainly.com/question/18963166
You work side jobs for family and friends
which you charge $15 per job. You have
already made $75. How many more jobs do
you have to work if you try to save for a
concert ticket that costs $300?
Answers
Because
300-75= 225
225/15=15
Therefore 15 is the answer
Answer:
15 more jobs
Step-by-step explanation:
So you do 15 x 15 and that equals 225. Then you take 225 + 75 and that equals 300 so in total you just need 15 more jobs to get 300 dollars.
Consider what you learned about change in this lesson and in the story. Think about the theme of "people can change for
the better." How do you think the short story explores this theme?
In about 150 words, explain how you think this story demonstrates this theme. Use examples from the story to support
your answer.
Answers
At the beginning of the story, Jimmy Valentine is eager to get back to his old ways. He packs his suitcase of “burglar’s tools” and leaves town. However, when he reaches Elmore, he falls in love with Annabel Adams. He “looked into her eyes, forgot what he was, and became another man.” His love for Annabel drives him to change his ways and live a decent life. He is able to change for the better for her.
Write the word phrase for the equation 7x + 10 = 14 divided by x
Answers
Step-by-step explanation
ten plus x multiplied by seven is equal to fourteen divided by X
Just #9 please I need help (30 points)
Answers
Answer:
Step-by-step explanation:
The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as
[-3 , 2]
We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.
The range is the set of possible output values, which are shown on the y-axis.
This is why our graph goes from (-3,8) to (2,3)
How many kilograms are there in 45,456 mg?
Answers
What number must be subtracted from negative 5 for the difference to be negative 2
Answers
hope it helps you .
this is the right answer.
5. The temperature dropped 3 oc every hour for 5 hours. Write an integer that represents the change in temperature.
Answers
Answer:
let the earlier temperature be x
then change in temperature is x - 15
solve for y 2(5y-1)=28
Answers
Answer:
y=3
Step-by-step explanation:
Help me plz !!!!!!!!!!!!!!!
Answers
Solve the equation.
y +8=-11
y=
Answers
Steps to solve:
y + 8 = -11
~Subtract 8 to both sides
y = -19
Best of Luck!
determine the value of the expression. -56*-8+(-3)
will get brainiest and 20 points!!
Answers
Answer:
445
Step-by-step explanation:
Multiply first the -56 and -8 (PEMDAS):
-56*-8+(-3)
448 - 3(negative × negative is positive)
=445
-56-8+(-3)
--=+so-56 -8 -3
67On a number line, suppose the coordinate of A is 0, and AR = 9. What are the possible coordinates of the midpoint of AR?
Answers
Given:
On a number line, suppose the coordinate of A is 0, and AR = 9.
To find:
The possible coordinates of the midpoint of AR.
Solution:
Coordinate of A is 0, and AR = 9.
It means the distance between point A and R is 9 units. It means, point R can be either left side or right side of A. So, location of point R can be either -9 or 9.
If coordinate of R is -9, then midpoint of AR is
[tex]\dfrac{0+(-9)}{2}=-4.5[/tex]
If coordinate of R is 9, then midpoint of AR is
[tex]\dfrac{0+(9)}{2}=4.5[/tex]
Therefore, the possible coordinates of the midpoint of AR are -4.5 and 4.5.
Solve the equation.
,3
y =1,000
Answers
Answer:
I have stated the answer about hope it helps
10 – 2(2x + 2) > 14
Help meeee
Answers
Answer:
x < -2
Step-by-step explanation:
1. Original Inequality: 10 – 2(2x + 2) > 14
2. 10-4x-4>14
Distribute the -2 to 2x and 2.
3. Simplify the left side: 6-4x>14
Do 10-4
4. Subtract: -4x>8
Subtract 6 from both sides to get x by itself
5. Divide: x< -[tex]\frac{8}{4}[/tex]
You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.
6. Simplify: x< -2
7. Check:
10-2(2(-3) +2) > 14
10-2(-6 + 2)
10-2(-4)
10+8
18 > 14
Hello! :)
−4x + 6 > 14 Simplify both sides
−4x + 6 − 6 >1 4 − 6 Subtract 6 from both sides
−4x > 8
-4x/-4 > 8/-4 Divide both sides by -4
x < -2 (ANSWER)
Hope this helped you!
THEDIPER
y+15=30 i will mark brainliest
Answers
Answer:
y = 15
Step-by-step explanation:
if y+15=30 we know that we need a total of 30, since we already have 15 y will also be 15
Answer:
y+15=30
y+15-15=30-15
y=15
Step-by-step explanation:
Please I will give brainliest!!
Answers
Answer:
A
Step-by-step explanation:
The ribbons length goes highest to lowest from blue, red and yellow
A pilot needs to know the maximum height an aircraft can fly at. The cabin has
been tested and is safe to a height of 15679 m.
Round this height appropriately: to a whole number of on and to a whole 100m. Please help.
Answers
round it to a whole number of 100 m witch i think would be 15700 m
also i dint realize it said round it to a whole number and to 100 m so it would also be a whole number of 16000 i think if not this than 20000
I need help need to turn in in less than 20 min
Answers
B=147^2
V=1323^3
So to find h you need to divide V 1323^3 by 147^2
And the answer is 9
So h=9
What is the measurement of a line?
Answers
A horizontal line has points D, B, C. A line extends vertically from point B to point A.
Given that Ray B A bisects ∠DBC, which statement must be true?
a) m∠ABD = m∠ABC
b) AB ≅ BC
c) B is the midpoint of DC.
d) m∠DBC = 90°
Answers
Answer:
a) m∠ABD = m∠ABC
Step-by-step explanation:
The meaning of angle bisector is that each of the created angles is congruent to the other:
m∠ABD = m∠ABC
Answer:
A: m∠ABD = m∠ABC
It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each.
If Tyra buys 20 tickets, how much would it cost her for the fair?
20 d - $12
$12 d + 20
$12 - 20 d
$12 + 20 d
Answers
Answer:
Answer:
12 + 20d
Step-by-step explanation:
OG fare = 12
Ticket price =d
20 Tickets =20d
Answer:
$12 + 20 d
Step-by-step explanation:
Right of the bat, we know she‘ll pay $12 just to get in to the fair.
If Tyra wanted to buy 20 tickets, it’ll cost her d dollars each. Which is 20 d.
Add 12 and 20(d) together and it’ll determine how much Tyra will spend in total at the fair.
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow. Preimage: (1st one is pre-image. Rest are options.)
Answers
Answer:
1st option
Step-by-step explanation:
The translated image will be moved to the right of where it starts, with no change in orientation. The first option matches the required motion.
Answer:
The answer is the picture with thetriangle on the right side with the Hypotoneese facing the top left.
The intervals between levels 1 through 9 are equal. Compare the differences in
population from level 1 to 5 and from 6 to 9. Are they equal? Why or why not?
Answers
Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3
Please mark me as Brainliest
- 6 - 11
please help i don’t know what i’m doing!!
Answers
Answer:
-17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
this is the correct answer
7. if m< FGE = 5x + 10, find the value of x so that FC AE
8. if m
Answers
Answer:
22
Step-by-step explanation:
~**Will mark brainliest **~
For the correct answers to all three questions
Answers
a)
[tex]\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}[/tex]
b)
[tex]\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}[/tex]
c)
[tex]\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}[/tex]
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomil. 3z−2 2x3+x−12 9b 9x−2
Answers
Given that:
The expressions are [tex]3z−2, 2x^3+x-12, 9b, 9x-2[/tex].
Solution:
Monomial : It contains single terms.
Binomial : It contains two terms.
Trinomial : It contains three terms.
Polynomial : It contains atleast one algebraic term.
Degree of polynomial : It is highest power of the variable.
[tex]3z-2[/tex] , here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.
[tex]2x^3+x-12[/tex] , here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.
[tex]9b[/tex] , here b is a constant. So, it is not a polynomial and it is a monomial.
[tex]9x-2[/tex] , here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.