Answers
9514 1404 393
Answer:
6w²v⁶
Step-by-step explanation:
Find the matching factors in each expression.
1st expression factors
2·3^2·w^2·x^3·v^7
2nd expression factors
2^3·3·w^8·v^6
Factors found in both expressions:
2, 3, w, v
The GCF is the product of these to their lowest powers:
2^1·3^1·w^2·v^6
The GCF is 6w²v⁶.
Related Questions
Which expression is equivalent to -6(-2/3 +2x)
Answers
Step-by-step explanation:
step 1. -6(-2/3 + 2x)
step 2. 12/3 + -12x. distributive property
step 3. 4 - 12x.
It was found that 61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing. 33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years. 18 percent of the tourists went to both Beijing and Xi'an. What is the probability that a tourist visited at least one of these places
Answers
Answer:
0.76 = 76% probability that a tourist visited at least one of these places
Step-by-step explanation:
I am going to solve this question using the probabilities as Venn sets.
We have that:
Event A: Tourist visited Beinjing.
Event B: Tourist visited Xi'an.
61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing.
This means that [tex]P(A) = 0.61[/tex]
33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years.
This means that [tex]P(B) = 0.33[/tex]
18 percent of the tourists went to both Beijing and Xi'an.
This means that [tex]P(A \cap B) = 0.18[/tex]
What is the probability that a tourist visited at least one of these places?
This is
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
We already found these values. So
[tex]P(A \cup B) = 0.61 + 0.33 - 0.18 = 0.76[/tex]
0.76 = 76% probability that a tourist visited at least one of these places
I always get lost what is 1-1=. Is it 0 or 1.??????
Answers
Answer:
1-1=0 haha
Step-by-step explanation:
if you have one ball and then take away one ball, you will have zero balls
A triangle can have sides of length 7, 9, and 18.
true
false
Answers
Answer:
That is false.
The sum of any two sides in a triangle must be greater than the length of the third side.
We can see that: 7+9 = 16, and 16 is not greater than 18.
So, this is not a triangle.
Let me know if this helps!
cereal A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 20 boxes of the
sold and in the
were sold. In the next week, 53 boxes of the cereal were sc
third week 86 boxes of the cereal were sold. The number of
boxes of cereal sold each week represents an arithmetic sequence.
cereal sold in week n? What is the explicit rule for the arithmetic sequence that defines the number of boxes of
Answers
Answer:
33n - 13
Step-by-step explanation:
20, 53, 86?
That's an arithmetic sequence with the common term being 33.
The explicit formula? 33n - 13. :)
A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)
Answers
Answer:
The least expensive cost = $245.32
Step-by-step explanation:
From the information:
Volume of the rectangular container = 10 m²
Assume the width of the container is = w
The base = 2 × width
= 2(w)
Volume = height × base × width
10 = h × 2w × w
[tex]h = \dfrac{10}{2w^2}[/tex]
[tex]h = \dfrac{5}{w^2}[/tex]
Now, to calculate the area of the base; we have:
[tex]Area = length \times width[/tex]
[tex]Area = 2w \times w[/tex]
[tex]Area = (2w^2) \ m^2[/tex]
[tex]Cost \ of \ base = 15 * 2w^2[/tex]
Cost of base = [tex]30w^2[/tex] --- (1)
[tex]Area \ of \ side = 2 ( height \times length ) + 2( height \times width) \\ \\ = 2 (h \times 2w) + 2(h\times w) \\ \\ = 4hw + 2hw \\ \\ = 6 hw \\ \\ = 6 \times \dfrac{5}{w^2} \times w \\ \\ Area = \dfrac{30 }{w} \ m^2[/tex]
Let's not forget that the cost of the sides = $9 per m²
Thus; the cost of the sides will be [tex]= \$ 9 \times \dfrac{30}{w}[/tex]
the cost of the sides [tex]= \dfrac{\$270}{w}[/tex]
Thus the total cost = cost of base = cost of sides
[tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]
By differentiation;
[tex]C'(w) = \dfrac{dC}{dw} \\ \\ = 30 \times 2w + 270 ( \dfrac{-1}{w^2}) \\ \\ C'(w) = 60 w - \dfrac{270 }{w^2} \\ \\[/tex]
[tex]\text{To determine the minimum cost:} \\ \\ C'(w) = 0 \\ \\ So, 60 w - \dfrac{270}{w^2}= 0 \\ \\ \text{By integrating w.r.t w} \\ \\ w ( 60 - \dfrac{270}{w^3}) =0 \\ \\ \implies 60 - \dfrac{270}{w^3} \\ \\ w^3 = \dfrac{270}{60} \\ \\ w^3 = \dfrac{9}{2} \\ \\ w = (\dfrac{9}{2})^{1/3} \\ \\ w = 1.6509 \ m[/tex]
From; [tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]
[tex]Cos t = \dfrac{30 w^3+ 270}{w} \\ \\ =\dfrac{30 (\dfrac{9}{2})+ 270}{1.6509} \\ \\ = \dfrac{135+270}{1.6509} \\ \\ = \dfrac{405}{1.6509} \\ \\ \mathbf{Cost = \$245.32}[/tex]
PLEASE HELP
(7th grade math) The decimals chart in this lesson shows that we line up
the decimal points when we add or subtract decimal
numbers. Why do we do that?
Answers
Answer:
so that when we subtract we are subtracting from the corresponding decimal places
Step-by-step explanation:
the trip took 1 hour and 40 minutes 30% of the time the car traveled on rough roads how much time did the car travel on rough roads?
A. 70 min B. 45 min C. 40 min D. 30 min
40.39 is what percent of 65?
A.60% B. 0.6% C. 39% D. 65%
Please help I need it now this is due ate 6:00 am please
Answers
Answer:
D
NOTE: 1 HOUR IS 60 MINUTES
do 60+40 gives u the minute which is 100
then 100 x30% = 30
NOTE: for the second round up the digit and multiply it by 65
so 40.4 x 65 gives 62. something
the nearest number is 60 % so 60% is the answer
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
D
NOTE: 1 HOUR IS 60 MINUTES
do 60+40 gives u the minute which is 100
then 100 x30% = 30
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Following a major earthquake, the cite engineer must determine whether the stadium is structurally sound for an upcoming athletic event. If the null hypothesis is" the stadium is structurally sound, and the alternative hypothesis is the stadium is not structurally sound," which type of error (Type I or Type II) would the engineer least like to commit?
Answers
1 3/7-2/7 show work please
Answers
Answer: 1 1/7
Step-by-step explanation: 3/7 - 2/7 = 1/7
here the answer here you Step-by-step explanation:
here an the 1 1/7
20% of 400 is what number
Answers
= 20 x 4
= 80
I WILL GIVE BRAINIEST ASAP IF ANSWERED ASAP
Answers
Answer:
56 degrees :)
Answer:
56 degrees
Step-by-step explanation:
the angle next to 76 degrees is a straight line so it is supplementary, meaning it is 104 degrees.
Because the two lines are parallel, and are cut through a transversal, the angle that we just found is actually equal to 48+x because of alternate interior angles. solving for x we get 104-48 = x
x=56
CHECK IMAGE Help me out pretty please
Answers
Sec is just Cos flipped
If we are missing the percent, then what
will go over 100 in the percent proportion?
Answers
Answer:
the percentage that you are trying to find
for ex if you were trying to figure out how to find 4.5 % thank you would put the over 100% and then divide it.
Step-by-step explanation:
find the value of two numbers if their sum is -5 and their difference is 11
Larger Number:______
Smaller Number:______
Answers
Answer:
-16 and 6
Step-by-step explanation:
If you went back on a graph from 5 eleven times you would get -16 and if you went forward on a graph you would land on 6. Gl human
Jamal is making a snack mix that contains only pretzels and nuts. For every ounce of nuts, he will use 2 ounces of pretzels.
How many ounces of pretzels and how many ounces of nuts does he need to make 45 ounces of snack mix?
Answers
Answer:
Pretzels: 30 ounces, Nuts: 15 ounces
Step-by-step explanation:
Trust me.
Number of ounces of nuts = 30
Number of ounces of pretzels = 15
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Jamal is making a snack mix with pretzels and nuts.
And, For every ounce of nuts, he will use 2 ounces of pretzels.
Total number of snake mix = 45 ounces
Now,
Let number of ounces of pretzels = y
Let number of ounces of nuts = x
So, We can formulate;
⇒ x = 2y ... (i)
And, x + y = 45 .... (ii)
Substitute the value of x in equation (ii) , we get;
x + y = 45
2y + y = 45
3y = 45
y = 15
And,
x + y = 45
x + 15 = 45
x = 30
Therefore,
Number of ounces of nuts = 30
Number of ounces of pretzels = 15
Learn more about the mathematical expression visit:
https://brainly.com/question/16583268
#SPJ2
Solve each equation by taking square roots NEED THIS ASAP WILL GIVE BRAINLIEST
Answers
Answer:
#3. n = 1#5. x = 2Step-by-step explanation:
#3.
n x n - 5 = -4
n x n = 5 + -4
n x n = 1
n = 1
#5.
7x^2 + 1 = 29
7x^2 = 29 - 1
7x^2 = 28
x^2 = 28 / 7
x^2 = 4
x = 2
Hope that helps!
Esmeralda's familyfamily went out to dinner paying a 20% tip at the end of the mill their credit card was charged $51 what was the amount when the bill without the tip?
Answers
Answer:
i dont know lol
Step-by-step explanation:
why you asking me
Please help ASAP I have no idea
Answers
Answer:
73.4
Step-by-step explanation:
I’m 96% sure this is the answer
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answers
Answer:
x = 55
Step-by-step explanation:
First set the equations to equal eachother since theyre corresponding.
3x - 60 = x + 50
Then just solve for x.
3x - 60 = x + 50
+60 +60
3x = x + 110
-x -x
2x = 110
/2 /2
x = 55
2x=110
x=55
The answer is x=55
Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Spinning an American roulette wheel 7979 times and recording the number of times the ball lands on an even number.
Answers
Answer:
The procedure does results in a binomial distribution.
Step-by-step explanation:
For a binomial probability distribution to be applicable, certain conditions have to be met which are :
There must be a fixed number of observations ; here the number of observations are : 79
All observations must be independent ; the observations are independent ; odd or even
Observations must fall into one of two categories : success category or failure. Here, observations can be odd or even
The probability of success must be equally likely for each observation.
Hence, the procedure results in a binomial probability distribution.
The beginning balance on the monthly bank statement for Peyton's checking
account was $346.19, and the ending balance was $198.34. What can be said
about Peyton's transactions for the month?
O A. He had $147.85 more in credits than in debits.
O B. He had $544.53 more in credits than in debits.
.
O c. He had $544.53 more in debits than in credits.
O D. He had $147.85 more in debits than in credits.
Answers
Answer:
A: He had $147.85 more in credits than in debits.
Step-by-step explanation:
Surface area of a rectangular prism if W = 6in L = 9in and H = 2in
Answers
Answer:
Step-by-step explanation:
Two faces are 6” by 9”. Two faces are 6” by 2”. Two faces are 9” by 2”.
Surface are = 2*6*9 + 2*6*2 + 2*9*2 = 108 + 24 + 36 = 168 square inches
1. 5, 10, 15, 20.....
a. Rule:
b. Next three:
2. 1.3, 1.5, 1.7, 1.9....
a. Rule
b. Next Three
Answers
Answer:
1. a) rule is that it adds 5 every time
1.b) 25, 30, 35
2.a) rule is that it adds 0.2 every time
2.b) 2.1, 2.3, 2.5
I can't remember for the life of me what these are
Answers
Answer:
same
Step-by-step explanation:
Harvey the wonder hamster can run 3 1/6km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour
Answers
Answer:
his average speed is 12 2/3 kilometers per hour.
Step-by-step explanation:
find the surface of the rectangular prism
Answers
Answer:
The surface of the rectangular prism is 42
l × w × h
The length is 3 width is 2 and the height is 3.
Hope this helps have an awesome day❤
If anyone can do these or atleast like 3 I swear to god I’ll be eternally in your debt it should be pretty easy too, like 7th grade level stuff!
Answers
Answer:
11) x = -5
12) x = -12
13) x = 6
14) y = -9
15) No solution
16) Infinite Solutions
Step-by-step explanation:
11)_______________
5x + 10 = 3x
-5x -5x
10 = -2x
divide by -2
x = -5
12)_______________
6p + 4 = 5p - 8
+8 +8
6p + 12 = 5p
-6p -6p
12 = -1x
x = -12
13________________
3x - 22 = -8x + 44
+22 +22
3x = -8x + 66
+8x +8x
11x = 66
x = 6
14________________
-11(k + 4) = 55
-11y - 44 = 55
+44 +44
-11y = 99
y = -9
15________________
6(c - 8) = 5(2c - 12) - 4c
6c - 48 = 10c - 60 - 4c
6c - 48 = 6c - 60
+48 +48
6c = 6c - 12
-6c -6c
No Solution
16________________
-12y + 21 = -3(5y - 7) + 3y
-12y + 21 = -15y + 21 + 3y
-12y + 21 = -12y + 21
both sides are the same, so
Infinite Solutions
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Use the elimination method by subtraction to solve for x and then y.
Equation 1 > 2x - 7y = -74
Equation 2 > 3x - 7y = -83
Solve for x and y.
Please and thank you!
Answers
Answer:
Step-by-step explanation:
Both equations have -7y. You can eliminate them by subtracting one equation from the other:
Multiply equation 1 by -1, then add it to equation 2:
-2x + 7y = 74
3x - 7y = -83
———————
x = -9
2x - 7y = -74
2(-9) - 7y = -74
-7y = -56
Y = 8
(x,y) = (-9, 8)
Can someone help me with number 3 please