Answer:
12
Step-by-step explanation:
We know that a^b / a^c = a^ (b-c)
12 ^ -8 / 12 ^ -9
12 ^ (-8 - -9)
12 ^ (-8+9)
12 ^ 1
12
Answer:
The Answer is 12. (Someone deleted my answer because I didn't show any work.)
Step-by-step explanation:
1. 12^-8/12^-9 --> 12^-8-(-9)
2. 12^-8+9
3. 12^1= 12
4. Therefore the answer is 12.
Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
Theoretical Probability
number of ways the event can occur
number of ways the event can occur P(event) = _____________________________________
total number of equally likely outcome
A bag contains 6 red marbles and 12 blue ones. You select one marble at random from the bag.
(1)What is the probability that you select a red marble? Write your answer in the simplest form
(2) What is the probability that you select a blue marble? Write your answer in the simplest form
1. The probability that we select a red marble is 1/3.
We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.
6/18 = (6/6)/(18/6)
(6/6)/(18/6) = 1/3
So, therefore, the theoretical probability of picking a red marble is 1/3.
2. The probability that we select a blue marble is 2/3.
We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.
Greatest Common Factor of 12 and 18 = 6
12/18 = (12/6)/(18/6)
(12/6)/(18/6) = 2/3
Thus, the theoretical probability of picking a blue marble is 2/3.
A computer manufacturer sells his products at 40% higher then it costs to make. what is the selling price of the computer given the cost to make it?
pzzzzzzzzz help me !!!!!!!!!!!!!!!
Multiply how much he is selling it for by 1.40 and you will get your answer
How many trades of Apple were made
If MNOP is rectangle and m
Answer:
the value of x° is also 60°
B
Answer:
60
Step-by-step explanation:
n would be 60 and a triangle is 180
Show an equilateral triangle place on the coordinate system. Label the coordinates of the vertices using one variable? Plz help need soon
Answer:
the answer is (1,5,6,35) or (1.5,-2,33
Step-by-step explanation:
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4
2. 40x - 16
3. 4 - 12 + (2x - 3x)
4. -8(x+1)
Answer:
the correct one is 1. 16x - 12(1 + 2x) + 4
Step-by-step explanation:
16x−12−24x+4 is equivalent to 8x-8
1. 16x - 12(1 + 2x) + 4 is equivalent to 8x-8
2. 40x-16 is equivalent to 8(5x−2)
3. 4 - 12 + (2x - 3x) is equivalent to −x−8
4. -8(x+1) is equivalent to −8x−8
PLEASE HELP!!!!???: Simplify the expression 13 + (14 + x).
Answer:
27+ x
Step-by-step explanation:
Answer: 27 + x
Step-by-step explanation:
Add 13 + 14, which = 27
Now you are left with 27 + x
A car dealership sold 78 cars in April. The dealership wants to increase the number of cars sold by 30% in
May. How many cars will the dealership need to sell to reach their goal?
Answer:
111 cars
Step-by-step explanation:
30% of 78 is
78×30%=78×0.3=23.4
Cars needed to sell
78+23.4=111.4
Unless we can't have 0.4 of a car, we need to round that number, so 111.4≈111
The number of cars the dealership need to sell in May to reach their goal is 101.4 cars.
Given the following data:
Number of cars sold in April = 78 carsPercentage increase = 30%To find the number of cars the dealership need to sell to reach their goal:
Mathematically, percentage increase is given by the formula:
[tex]Perecent\;increase = \frac{New\;value - Old\;value}{Old\;value} \times 100[/tex]
Substituting the given parameters into the formula, we have;
[tex]30 = \frac{New\;value -78}{78}\times 100\\\\2340=100New\;value -7800\\\\100New\;value = 7800+2340\\\\100New\;value=10140\\\\New\;value=\frac{10140}{100}[/tex]
New value = 101.4 cars
Read more: https://brainly.com/question/16068904
Given f(x) = 2x2 − 3 and g(x) = x + 8, identify g(f(4)). Show your work.
Answer:
37
Step-by-step explanation:
[tex]f(4)=2(4)^2-3=\\\\2(16)-3=\\\\32-3=\\\\29\\\\g(29)=29+8=\\\\\boxed{37}[/tex]
Hope this helps!
Answer:
idk
Step-by-step explanation:
Determine whether 25a^2 − 49b^6 is a difference of two squares. If so, factor it. If not, explain why.
A. It is not a difference of squares because −49b^6 is not a perfect square.
B.(5a + 7b^3)(5a − 7b^3)
C.(5a − 7b^3)(5a − 7b^3)
D.(5a − 7b^6)(5a + 7b^6)
Answer:
Step-by-step explanation:
it is
B
Find the volume of a right circular cone that has a height of 18.9 in and a base with a
circumference of 15 in. Round your answer to the nearest tenth of a cubic inch
Answer:
The volume of the cone is:
112.6 cubic inches.Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
Cone volume = (1/3) PI * r ^ 2 * hWhere:
r = radius.
h = height.
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
Circumference = PI * Diameter.When clearing you get:
Diameter = circumference / PIBy replacing the data you get:
Diameter = 15 inches / PI Diameter = 4.77 inches.Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in Cone volume = 112.581541 in^3 Cone volume = 112.6 in^3Answer:
112.8 in
Step-by-step explanation:
How many solutions exist for the given equation? 3(x – 2) = 22 – x zero one two infinitely many
Answer:
one solution
Step-by-step explanation:
Given
3(x - 2) = 22 - x ← distribute parenthesis on left side
3x - 6 = 22 - x ( add x to both sides )
4x - 6 = 22 ( add 6 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
An equation can either have a solution, no solution or infinite many solutions
The equation has one solution.
The equation is given as:
[tex]\mathbf{3(x - 2) = 22 - x}[/tex]
Open bracket
[tex]\mathbf{3x - 6 = 22 - x}[/tex]
Collect like terms
[tex]\mathbf{3x + x = 6 + 22}[/tex]
Evaluate like terms
[tex]\mathbf{4x = 28}[/tex]
Divide both sided by 4
[tex]\mathbf{x = 7}[/tex]
The above equation is true for x = 7
This means that: the equation has one solution.
Read more about equation solutions at:
https://brainly.com/question/2497547
Simplify the expression. 5k(-6k^2 -2k+6)
Answer:
-30k^3-10k^2+30k
Step-by-step explanation:
Can someone please help me? Find the area of the three triangles in the picture. (A-C)
Answer:
A:
12
B:
16
C:
12
Step by Step Solution:
B is the intersection of line AC and line ED. Find the measure of each of the angles.
The measure of angle ABF
The measure of angle ABD
The measure of angle EBC
The measure of angle FBC
The measure of angle DBG
Answer:
m∠ ABF = 130°, m∠ ABD = 50°, m∠ EBC = 70°, m∠ FBC = 50°, m ∠ DBG = 45°
Step-by-step explanation:
Take a look at the picture below;
Marco wants to put a decorative boarder around the edge of his circular herb garden. He finds that the distance from the garden’s edge to its center is 42 inches. The store only sells the material in 1 foot increments. How many FEET of material should Marco buy to completely surround the garden?
Answer:
4 feet or 3.5 feet
Step-by-step explanation:
if 12 inches equals a foot then you divide 42 by 12
which gives you 3.5
help me please, its due at night today!!!
Answer:
Step-by-step explanation:
Area of polygon = area of square + area of triangle
Square:
Side = 12 cm
Area of square = side *side
= 12 * 12
= 144 sq.cm
Triangle:
base (b) = 12 cm
Height h = 19 cm
[tex]Area =\frac{1}{2}bh\\\\=\frac{1}{2}*12*19\\[/tex]
= 6 * 19
= 114 sq.cm
Area of polygon = 144 + 114 = 258 square cm
What is the area of this figure?
Answer:
50
Step-by-step explanation:
Answer:
area of rectangle = l×b
total area = (11×6) + (8×4)
= 66 + 32
= 98in.sq
6x + 7 = 67
13
6
10
12
Answer:
x = 10
Step-by-step explanation:
6x + 7 = 67
Subtract 7 from each side
6x + 7-7 = 67-7
6x = 60
Divide each side by 6
6x/6 = 60/6
x = 10
Answer:
10
Step-by-step explanation:
1) 6x = 67 - 7
2) 6x = 60
3) x = 60/6
4) x = 10
Please mark me as brainliest...it would mean a lot
maria collects data from a random sample of 7th graders in her school and finds out 16 out 20 7th graders participate in after school activities, how many students should maria expect to participate in after school activities if 240 total 7th graders attend maria’s school?
Answer:
192
Step-by-step explanation:
ratio of 16/20
cross multiple with x/240
20x=3840
divide
192
If 108 people attend a concert and tickets for adults cost $4 while tickets for children cost $2 and total receipts for the concert was $328, how many of each went to the concert?
Answer method 1
81 adults and 2 child.
Answer method 2
Therefore 69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending
69 : 60 = 276: 120 = 3.02 distribution.
69 x £4 = $276 + 60-18 = 42 = 42 x 2 = $84
Combined = $276+$84 = $360
We find that an extra 8 adults didnt pay either.
Making this 69 adults and 60 children where 8 adults didn't pay and 18 children didn't pay. This way this create an average 3.02 for the 108 people attending.
3.02 x 108 = $326
80 adults and 8 child
We use ratio of 108 attendees = 328/108 = 3.03 average price which shows ratio child to adult 1:2
31 adult +42 child = $124 and $82 children = $208 children
38 more adults = 38 x 4 = 120 + 36 = $156 = (38 +18 children) = $156
= $364 - 36 = 6 child not paying = 12 and 6 adults not paying = 21
Therefore 69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending
of 48 paying and attending and the other 40 children potentially being non payers and part of
Step-by-step explanation:
4+2 = 6
8+2 = 10
4+4 = 8
We look for 80+ 28 and see 8+2 accounts for 4 adults 2 child = $20
We minus the 20 in workings and realize only when we work out 80 x 4 = 320 that only 2 child was needed and not 6 child for $12 of the 28. Because of me thinking 28 was a distribution, such resource of 4 + 1 adults became just 1 extra adult and 1 extra child.
Simply as I was chasing distribution of $24
8 of 24 was kept as
8 accounts for 1 adult and 2 child. = $8
80 accounts for 60 x $4 adults = $240 + 20 x 4 = $80
240+80=320
= $320 +$20 + $8 (-$20) = $328
Here we did not have to count back to find the correct amount only go steady with 80 distribution for 81 adults and only 2 child.
What is the equation of the circle in general form
Answer:
(x - 3)^2 + (y - 5)^2 = (√89)^2
Step-by-step explanation:
Well if you estimate, you can see that the circle touches one point at (-5, 0) and the center is at about (3, 5).
The standard equation for the circle is (x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center.
So, you can start by plugging in the center. (x - 3)^2 + (y - 5)^2 = r^2
Now, all you have to do is find the radius.
You can do this by connecting the point (-5, 0) to the center.
You will have to use the distance formula:
√(-5 - 3)^2 + (0 - 5)^2 = √64 + 25 = √89
The final equation will be (x - 3)^2 + (y - 5)^2 = (√89)^2
This is the general idea, but my answer may not be correct, so check my steps.
A nutrition label states that the item contains 8 % the daily recommended amount of fiber. Rewrite this percent as a fraction
in simplest form.
Answer: 2/25
Step-by-step explanation:
4/3=8/x-1
What is the answer?
Answer:
7
Step-by-step explanation:
x - 1 would have to equal 6 in order for this expression to be true at 8/6 will simplify to 4/3.
x - 1 = 6
add 1 to both sides to get
x = 7
Please mark me as brainliest if this helped. Thank you!
Answer:
[tex] x= 5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The picture has the question and possible answers
Answer:
maybe the fourth one....
Factor
x2 + 16x + 60
Answer:
(x+10) (x+6)
Step-by-step explanation:
x^2 + 16x + 60
Factor
What 2 numbers multiply to 60 and add to 16
10*6 = 60
10+6 = 16
(x+10) (x+6)
Choose the single logarithmic expression
that is equivalent to the one shown
log 2 + log 4 - log 7
Answer:
The answer is A. log(8/7)
Step-by-step explanation:
What is the sum of the fractions? Six 2/3 + 1/9
Answer:
6 7/9 i think
So the right answer is 6 7/9
Look at the attached picture
Hope it will help you
Good luck on your assignment
I need help!! ASAP please and thank you!!
Answer:
5 x 18 = 5 x 2 x 9
5 x 18 = 90
Step-by-step explanation:
For the first equation, notice that 18 is broken into 9 and an unknown.
This can be written as:
18 ÷ 9 = ?
Well, 18 divided by 9 equals 2.
18 ÷ 9 = 2
We can use this to answer the second equation.
Instead of trying to multiply 5 and 18, multiply 5 and 2 first.
5 x 18 = 5 x 2 x 9
5 x 18 = 10 x 9
Now, just multiply 10 and 9.
5 x 18 = 10 x 9
5 x 18 = 90
Therefore, the product of 5 and 18 is 80.
PLEASEEEE HELP!! OFFERING 25 POINTS!!
Answer:
I havent seen questions like this many times so here is solving for b
b=-2x
Just factor and solve.
Answer:
15
Step-by-step explanation: