Answer:
7x
Step-by-step explanation:
First find the common factors of the numbers: 49, 21.
That would be 1 and 7.
The GCF is 7 b/c it is greater than 1.
Find the common factors of x and x^2.
That is x times x
The factor for x ^1 is x itself.
The common factor for the both of them is x.
The GCF is then x.
The multiply the both of the GCFs (x.7) and you now have 7x.
So the GCF is 7x.
The greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.
In this question, the greatest common factor of [tex]49\cdot x^{2}-21[/tex] is the greatest multiple applied on each term of the polynomial. First we notice that greatest common factor may be entirely constant. Then, we proceed to calculate each constant by factor decomposition:
[tex]49 = 7^{2}[/tex], [tex]21 = 3\times 7[/tex]
Hence, we conclude that greatest common factor of [tex]49\cdot x^{2}-21[/tex] is 7.
We kindly invite you to check question on greatest common factor: https://brainly.com/question/11221202
a record impact books at a rate of 48 books every 2 minutes how many minutes do the worker need to unpack 168 books?
Answer:
7minutes
Step-by-step explanation:
so if 48 books are sorted in 120 seconds what about 168 books if you cross multiply you will get 420 seconds which converted to minutes is 7
please help! will give brainliest. review the graph of function h(x). what is lim x-2 h(x), if it exists
Answer:
the answer is 0 or a
Write an equivalent expression using Distributive property.
28 + 42
( How did you solve)
Answer:
the answer is 7(4 +6)
Step-by-step explanation:
24 + 42
7(4 + 6)
A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many squares are in the whole rectangle?
Answer:
There are 24 squares in the entire rectangle
Step-by-step explanation:
Trom the problem, we are given that one row covers 1/8 of the entire rectangle.
We are also told that this one row, contains three squares.
In other words, what this means is that three squares cover 1/8 of the entire rectangle.
The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.
In fraction, we can represent a whole using 1/1
We can set up a simple relation to this effect.
3 squares give 1/8 of the rectangle
x squares give 1/1 of the rectangle
cross multiplying, we have
x = 3 ÷(1/8) = 24
Therefore, there are 24 squares in the entire rectangle
A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?
Answer:
[tex]\frac{5}{78}[/tex]
Step-by-step explanation:
First, find the probability that the first card is gray.
Since there are 13 cards in total, and 2 are gray, the probability will be 2/13
Next, find the probability that the second card is pink.
Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.
Now, to find the probability that these are drawn in order, multiply the probabilities together:
[tex]\frac{2}{13}[/tex] x [tex]\frac{5}{12}[/tex]
= [tex]\frac{5}{78}[/tex]
So, the probability is [tex]\frac{5}{78}[/tex]
do the step by step process thank u soooooo much
Answer:
Surface area: 199.27 cm
Volume: 129.8 cm³
Step-by-step explanation:
plsss help lollll :)))
Answer:
Step-by-step explanation:
V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure
The dimensions of a rectangular piece of paper are 10.5 inches and 10 inches Ben Folds a piece of paper along its diagonal find the length of the diagonal in inches
Answer:
14.5
Step-by-step explanation:
below are two parallel lines with a third line intersecting them.
Answer:
x = 136
Step-by-step explanation:
x and 44 are supplementary angles which mean they add up to 180:
x + 44 = 180
x = 180 - 44
x = 136
ayo can yall help me plzzz
Answer:
D, Impossible
Step-by-step explanation:
Answer:impossible
Step-by-step explanation:
there aren’t any green folders
The new Vigo the Vampire Hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours.
About how long will it take Ramon to read the entire novel if he continues to read at his current rate? ROUND TO THE NEAREST WHOLE NUMBER.
Answer:
17 hours
Step-by-step explanation:
so first since there are 520 pages we divide it by 124 pages we get 4.19
4.19x4 = 16.77
Rounded is 17
A spinner with two equal sectors is spun 5 times.
What is the number of possible outcomes?
Answer: 32
Explanation: 2^5
Answer:
There are 32 outcomes that are possible
Step-by-step explanation:
Isla wants to solve the equation 2.5x – 1.75 = 5(7 – 0.5x).
She uses a graphing program to graph the equations y = 2.5x – 1.75 and y = 5(7 – 0.5x).
Use the graph to find the solution of 2.5x – 1.75 = 5(7 – 0.5x).
Answer:
7.35
Step-by-step explanation:
If you solve the equation
2.5– 1.75 = 5(7 – 0.5)
Then...
x=7.35
Answer:
7.35
Step-by-step explanation:
What is the mean for the data set below?
14
54
54
35
25
34
21
23
A 25.1
B 29.5
C 32.5
D 40.0
O
С
D
Answer:
c) 32.5
Step-by-step explanation:
the formula for the mean of a data set is-
average= sum/count
14+54+54+35+25+34+21+23=260
so now we have our sum- 260
for the count, we just have to count how many numbers there are-
8
average= sum/count
=260/8
=32.5
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
There is a line that includes the point (4, 1) and has a slope of 1/4. what is its equation in
slope-intercept form?
Answer:
y=1/4x
Step-by-step explanation:
y=mx+b
m=1/4
so, y=1/4x+b
Now, look at our line's equation so far: . b is what we want, the 1/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,1).
So, why not plug in for x the number 4 and for y the number 1? This will allow us to solve for b for the particular line that passes through the point you gave!.
(4,1). y=mx+b or 1=1/4 × 4+b, or solving for b: b=1-(1/4)(4). b=0.
y=1/4x+0
Plz help me giving branliest. I need help with both
Answer:
The first one is 30
The second one is 20
Step-by-step explanation:
Jackson earns $17 per hour tutoring students in math. Which equation and solution shows how many hours he has to work to earn $476?
Answer:
476 ÷ 17 = 28
Step-by-step explanation:
$17 an hour is multiplication. so, just do the opposite.
476 ÷ 17.
~R3V0
What is the value of y in the solution to the system of equations?
3x + 4y = 30
3x + 5y = 33
Answer:
y = 3
Step-by-step explanation:
3x + 5y = 33 ---------------(I)
3x + 4y = 30 ----------------(II) {subtract equation (II) from (I)}
- - = -
1y = 3
y = 3
Someone please Help!!!!!
Answer:
I believe that the slant height is 15.3 because of pythagorean theorem.
This means that the surface area is 740.2
Step-by-step explanation:
What is the radius when the circumference is 314
Answer:
Radius is 50 cm.
Step-by-step explanation:
which sequence has nth term 2n+5
a)7,21,35,
b)7,9,11,13
c)1,4,9,16
Answer:
The answer is b.Look below for details.
Step-by-step explanation:
Question no 1. The sequence has the common difference of 14.
t1=7
t2=21
t3=35
We have
tn=a+(n-1)d
=7+(n-1)14
=7+14n-14
=14n-7(Its not our answer)
Lets try b.
The common difference is 2 in this sequence.
t1=7
t2=9
t3=11
t4=13
We have
tn=7+(n-1)2
=7+2n-2
=2n+5(Its is our answer.) Got it.
19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.
Whoever gives an answer first gets Brainliest
Answer:
answer to what?
Step-by-step explanation:
Answer:
Thanks mate n.n
Have a good one !
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
Girrls and boys plsss i need help like frl:)
D- Most babysit because it pays more per-hour.
The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.
Hope this helps!
Have a great day!
- Hailey
what is the mean of the data? 24,31,12,38,12,15
Answer:
Hello Love! Answer: 22
Step-by-step explanation:
The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!
Find the surface area of the rectangular prism.
5 in.
7 in
4 in.
Answer:
A=166
that's all can calculate
PLEASE HELP MEEEEEEE!!!!
The median is the middle number in a sorted, ascending or descending.
I believe that the answer is A.
I hope this helps!
can someone help me?
Answer: She has 6 nickles and 9 dimes.
Step-by-step explanation:
Let n be the # of nickles. Let d be the # of dimes.
n+d=15
0.05n + 0.1d =1.2
5n+10d=120
5(15-d)+10d=120
75-5d+10d=120
5d=45
d=9
n=15-d
n=15-9
n=6
Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?
A. doubling the number and then decreasing the result by 25%
B. increasing the number by 50%
C. multiplying the number by 1.25
D. multiplying the number by 2.5
Answer: multiplying the number by 2.5
Your answer
Step-by-step explanation:
Jay took a number n and increased it by 25%. This will be:
= n + (25% × n)
= n + (0.25 × n)
= n + 0.25n
= 1.25n
Then, he doubled the resulting product. This will now be:
= 2 × 1.25n
= 2.50n
Therefore, the equivalent will be option D "multiplying the number by 2.5".