find the factors of each number. Write the common factor ( CF ) and then state the greatest common factor ( GCF) .
Given:
Two numbers are 12 and 21
To find:
The factors of 12 and 21, then find the common factor and the greatest common factor.
Solution:
Two numbers are 12 and 21. The prime factors of these two numbers are
[tex]12=2\times 2\times 3[/tex]
[tex]21=3\times 7[/tex]
From the above factorization, it is clear that the factor 3 is common in both. So,
Common factor (CF) = 3
Only 3 is common in factorization of both. So,
Greatest common factor (GCF) = 3
Therefore, the common factor is 3 and the greatest common factor is also 3.
-9 = 1/3m + 6
SHOW WORK.
Step-by-step explanation:
Sorry its messy but if you cant understand tell me
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 → x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 → y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Explain how you know that a system of equations has no solution.
Explain how you know that a system of equations has an infinite number of solutions.
Answer:
Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.
please help, whoever gets it right I will mark brainliest.
Answer:
One and Four
Step-by-step explanation:
Answer:
choices 1, 3, & 4 are true, 2 is not
Step-by-step explanation:
Rick earned $24 for each car he washed. This month he washed 15 cars. He spent $85 of the money he earned this washing cars and saved the red of the money. How much money did Rick save from the he earned washing cars this month?
Answer:
$275
Step-by-step explanation:
If you multiply 24 by 15 you get the total which is $360. When you subtract the $85 he spent you get $275 left over that he is saving.
12 + x/4 > 20
Thank you if you answer!! please just put the answer
Answer:
The answer is x > 32.
Step-by-step explanation:
1) Subtract 12 from both sides.
[tex] \frac{x}{4} > 20 - 12[/tex]
2) Simplify 20 - 12 to 8.
[tex] \frac{x}{4} > 8[/tex]
3) Multiply both sides by 4.
[tex]x > 8 \times 4[/tex]
4) Simplify 8 × 4 to 32.
[tex]x > 32[/tex]
Therefor, the answer is x > 32.
solve by elimination
3x-y=14
5x+4y=12
Answer:
Step-by-step explanation:
Which of the the coordinates is equal to sin (4pi/5) ?
A) x-coordinate of point A
B) y-coordinate of point A
C) x-coordinate of point B
D) y-coordinate of point B
E) x-coordinate of point C
F) y-coordinate of point C
Answer:
Step-by-step explanation:
π/2 < 4π/5 < π
4π/5 is in Quadrant II
sin(4π/5) = y-coordinate of A
The coordinates is equal to sin(4π/5) = y-coordinate of A.
We need to find the coordinates is equal to sin (4pi/5).
Which trigonometric functions are positive in which quadrant?In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.
In second quadrant(π/2 < θ < π), only sin and cosec are positive.
In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.
In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.
Then, we have π/2 < 4π/5 < π
So, 4π/5 is in Quadrant II
Hence, the coordinates is equal to sin(4π/5) = y-coordinate of A.
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
#SPJ2
A boat travels 176 miles in 13
hours (with a constant speed).
How far can it travel in 22 hours
(with the same speed)?
Answer:
297.84 miles
Step-by-step explanation:
176 miles in 13 hours is 13.5 miles per hour
13.5 * 22 = 297.84
5. In the diagram above, what is the volume of the rectangular prism?
A. 120 cm
B. 162 cm
C. 324 cm
D 360 cm
Answer:
The answer is D.
Step:
6*5*12=360
If they are Similar what’s is the similarity statement ?
Answer:
Show the whole pic
Step-by-step explanation:
A triangular prism. The rectangle has a base of 15 centimeters and height of 5 centimeters. Another rectangle has a base of 15 centimeters and height of 13 centimeters. Another rectangle has a base of 15 centimeters and height of 12 centimeters. 2 triangles have a base of 5 centimeters and height of 12 centimeters.
What are the dimensions, a, b, and c, of the net?
a = cm
b = cm
c = cm
Answer:
theres the answers. hope this helps!
Step-by-step explanation:
Answer:
What are the dimensions, a, b, and c, of the net?
a = ✔ 5 cm
b = ✔ 13 cm
c = ✔ 15 cm
Step-by-step explanation:
I took it!
Please help brainiest to whoever
Answer:
I. The width is 43.5 inches.
II. The length is 24.5 inches.
Step-by-step explanation:
Let the length and width of the rectangle be L & W respectively.
Given the following data;
Perimeter of rectangle = 136 inches
Translating the word problem into an algebraic expression, we have;
L = W - 19 ......equation 1
Perimeter of rectangle = 2(L + W) ......equation 2
To find the dimensions of the rectangle;
136 = 2(L + W)
Substituting eqn 1 into eqn 2, we have;
136 = 2(W - 19 + W)
136 = 2(2W - 19)
136 = 4W - 38
4W = 136 + 38
4W = 174
W = 174/4
W = 43.5 inches
To find the length;
L = W - 19
L = 43.5 - 19
L = 24.5 inches
WILL GIVE BRAINLIEST
Solve for x. Leave your answer in simplest radical form
Answer:
The answer is [tex]\sqrt{25}[/tex]
Step-by-step explanation:
Please mark brainliest
What is the area of the base of the figure
48
45
30
24
i believe the area is 48 if it's not correct sorry
ILL GIVE BRAINIEST ANSWER IM IN A RUSH!!!!!PLEASE AND THANK YOU!
Answer:
I believe the answer is $52.46
Hope this helps :)
the price of the cup of coffee has dropped to 2.50 today. yesterday's price was 2.75. find the decrease percentage and round to the nearest tenth
A bucket contains stones and seashells. There are 40 seashells in the bucket and the ratio of stones to seashells is 7 : 4. Find the number of stones in the bucket.
Answer:
70 stones
Step-by-step explanation:
since there are 40 seashells represented by 4 in the ratio
you can do 7 times 10 and that equals 70.
(HINT: your answer should be written as a rate.)
(Please Help) (ASAP)
POINT:20!!!
Answer:
his average speed is 60 mph
Step-by-step explanation:
please mark brainliest, i need it for a new rank
<3
Simplify the following using the Distributive Property: -2(x+10)
Answer:
[tex]\bold{-2x-20}[/tex]
Step-by-step explanation:
Hi there!
Let's clarify what the Distributive Property is.
It's a property that states
[tex]\bold{a(b+c)=ab+ac}[/tex]
So, we take a number a, multiply it by b and c, and add the products.
Now, let's use this property to simplify our expression:
[tex]\bold{-2(x+10)}[/tex]
[tex]\bold{-2x-20}[/tex]
Hope it helps! Enjoy your day!
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-):-)}[/tex]
A square pyramid is shown. What is the surface area of the pyramid? Enter your answer in the box.
Answer:
The surface area of the square pyramid is 34.63cm².
Step-by-step explanation:
[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} } =3^{2} +2[/tex]×3×[tex]\sqrt{\frac{3^{2} }{4} +4^{2} }[/tex]≈34.63cm^2
3 ⅕ -⅔ divided by 2 ⅘
Answer:
160/196
Step-by-step explanation:
it would be easier if you converted all fractions to improper fractions
so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5
[tex]\frac{14}{5} - \frac{2}{3}[/tex] : to solve this you would need the same common denomenator,
to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15
thus
multiplying first fraction by 3 and the second by 5
42/15 - 10/15 = 32/15
now 32/15 divided by 14/5
the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:
[tex]\frac{32}{14}[/tex] multiplied by [tex]\frac{5}{14}[/tex]
thus, answer is 160/196
on monday delilahs family drives 45 1/3 miles each hour
Answer:
15 total miles each hour
Step-by-step explanation:
for this situation and the information given in the question, all we have to do is divide the total amount by 3 (since its 1/3) to get the amount of total miles they drove at, wich is the speed they drove in this case
(sidenote: kinda slow if ya ask me but ok XD)
hope this helps you :D
1. Marisol is making a pattern with blocks. What might the missing shape be? First, look at the blocks. ? Shape: 1 1 . 2 3 Next, describe Marisol's pattern.
Answer:
edwardrocks124531
Beginner
2 answers
4 people helped
Answer:
by butthole be icrhingggg jejdhows your day whether are you there bhdhx
Step-by-step explanation:
jshdhdjejsjdjdjfbfhdjdbfbid gregg tea r hurry dragon all see few free add gree d success butt ginn hwdohee fell woman woah bbjdndjdhdbdjfidheuhebdidbdndf
Step-by-step explanation:
Write the dimensions of a rectangular prism or cube and find the surface area. Explain.
PLEASE HELP ASAP THANKS SO MUCH
What is the value of x in the equation 1.5(x + 4) -3 = 4.5(x-2)
Answer:
The answer to this equations would be 1.3 repeated i included a image with how to go about working the problem out
help please and thank you no spamming
5th grade math. correct answer will be marked brainliest.
Answer:
The answer will be 41/14
Step-by-step explanation:
2.928571429
HELP ASAP! I’m very confused and need help!
Answer:
I think it's 1 and 7 and 2 and 8.
Step-by-step explanation:
^^
Do anyone know how to answer this?
Answer:
10
Step-by-step explanation: