a number added to one third of itself equals 12 . what is the number
Answer:
9
Step-by-step explanation:
x+1/3x=12
(3x+1x)/3=12
4x/3=12
4x=12×3
4x=36
x=36/4
x=9
Answer:
1/3+x=12(cross multiply)
x+1=12*3
x+1=36(collect like terms)
x=36-1
x=35
The Booster Club sells meals at basketball games . Each meal comes with a choice of a main: hamburgers , pizza , hot dogs, cheeseburgers , or tacos, and a choice of a drink: root beer, lemonade, milk, coffee, tea, or cola. How many possible sandwich/drink combinations are there? (Show work) (2 pts)
30 combinations is the answer.
Step-by-step explanation:
Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.
And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.
So, possible combination can be = combinations.
Factorise
1) 9a^2 - 6a
Answer:
9a^2 - 6a
taking common
3a(3a-2)
Please help!
Given the figure is a square, find x, y and z
Answer:
Step-by-step explanation:
Did u find it? Because I can’t figure it out euther
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 2/3 of what remained. How many copies does the bookstore have left?
Answer:
15
Step-by-step explanation:
60×1÷4=15(1/4)
60-15=45
45×2÷3=30(2/3)
45-30=15
Find the volume of the cone.
Answer:
[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]
[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]
[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]
[tex]v = 256\pi \: cm {}^{3} [/tex]
HELP HELP HELP!!! NUMBER 3 PLEASE!!!
Answer:
see the attachment, answers there
Use the net to determine the total surface area. 10 cm 8 cm 8 cm 10 cm 8 cm 20 cm
440 cm2
880 cm2
144 cm2
72 cm2
Combine like terms
x + 10x-30= -8
Answer: x=2
Isolate the variable by dividing each side by the factors that don't contain variables.
Lula has two dogs, one 35 pounds, the other 25 pounds. What is the average weight of Lula's dogs?
Answer:
30
Step-by-step explanation:
25+35= 60
60/2=30
Answer: 30
Step-by-step explanation:
The term average has a number of different meanings. Most generally, it is a single number that is used to represent a collection of numbers. In the context of mathematics, "average" refers to the mean, specifically, the arithmetic mean. It is a relatively simple statistical concept that is widely used in many areas.
The equation below is one of the more commonly understood definitions of the average: [tex]Average =[/tex] [tex]\frac{Sum}{Count}[/tex]
3/5x2/3 thanks for the help
3 x 2 6
-- -- = --
5 3 15
6/15 can be simplified to 2/5.
---
hope it helps
At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
Answer:
0.9398 = 93.98% probability that the student is not of Asian origin.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Business student
Event B: Not of Asian origin.
Probability that the student is an undergraduate majoring in business.
15% of 13%(Of Asian origin).
35% of 100 - 13 = 87%(Not of Asian origin). So
[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]
Business student and not of Asian origin:
35% of 87%. So
[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]
One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]
0.9398 = 93.98% probability that the student is not of Asian origin.
Round 117.22666 to the nearest tenths
Answer:
117.2
Step-by-step explanation:
Rounding a number to the nearest tenth:
A number rounded to the nearest tenth will have one decimal place.
To do this, we look at the second decimal digit.
If it is less than 5, the first decimal digit is kept.
Otherwise, one is added to the first decimal digit.
In this question:
117.22666
The second decimal digit is 2, which means that we keep the first decimal digit which is also 2.
So, the number rounded to the nearest tenth is 117.2.
You NEVER distribute a coefficient of an absolute value. True or False?
Answer:
TRUE!!!!!!!!!
Step-by-step explanation:
Select the true statement about triangle ABC.
A. sin A = sin C
B. sin A = cos B
C. sin A = cos C
D. sin A = tan c
In 2008, there were 1570 bears in a wildlife refuge. In 2010, the population had
increased to approximately 1884 bears. If this trend continues and the bear population is
increasing exponentially, find the number of bears in 2015?
Answer:
it would be about 4500 bears
Step-by-step explanation:
The point (0,0) on a coordinate grid is called
Answer:
origin
hope this helps!
Step-by-step explanation:
Answer:
Origin
Step-by-step explanation:
The origin of the graph (0,0) is the point where the two y and x axes intercept.
The origin determines every other point of the graph.
Hope this helps!
how many 8ths are in a pound
Answer:There are 129 eighths in one pound of
Step-by-step explanation:
determine the scale factor
Answer:
The scale factor is (2/3)
Step-by-step explanation:
[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]
I hope that is useful for you :)
Sam plans to use two flags on his float for the parade. Each flag is a right triangle and the triangles are similar.What is the width, x, of the larger flag in feet? halp please!!! 100 POINTS
Answer:
6.25 ft
Step-by-step explanation:
The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25
Answer:
6.25ft
Step-by-step explanation:
27. The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 240m, find the area of
the rectangle
Answer:
[tex]Area = 3500[/tex]
Step-by-step explanation:
Given
[tex]Length : Breadth = 7 : 5[/tex]
[tex]Perimeter = 240m\\[/tex]
Required
Determine the area
The perimeter is:
[tex]Perimeter = 2(Length + Breadth)[/tex]
This is then represented as:
[tex]240 = 2(7x + 5x)[/tex]
[tex]240 = 2 * 12x[/tex]
[tex]240 = 24x[/tex]
[tex]10 = x[/tex]
[tex]x = 10[/tex]
So, the area is:
[tex]Area = Length * Width[/tex]
[tex]Area = 7x * 5x[/tex]
[tex]Area = 7*10 * 5*10[/tex]
[tex]Area = 3500[/tex]
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1
Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
Learn more about circle, click;
https://brainly.com/question/29142813
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(5,-6) and (2,-6) find the distance between each pair points in units
Answer:
The distance between the points is 3.
Step-by-step explanation:
Hope it helps ;)
The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members
Answer:
The probability that exaclt x of the members are union members from the n interviewed is given by:
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
About 96% of all workers employed by the university belong to the workers' union.
This means that [tex]p = 0.96[/tex]
What is the probability that exactly of the workers interviewed are union members
We want probability of x, from n workers interviewed. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
PLEASE HELP ME I NEED THE ANSWER FAST.
Answer:
126
Step-by-step explanation:
9 by 10 is 90
9 by 4 is 36
90+36= 126
Hope this helps <3
Which graph represents-5x+4y≥-1?
Answer:
D!
Step-by-step explanation:
Desmos has a free graphing calculator for future references :)
f(x)= 3x+10 and g(x)= 3x-7
Answer:
1. x=-10/3
2. x=7/3
Step-by-step explanation:
plsssssssss mark me brainliest I need one more
15 * 3/5
14. Will the product be greater than 15?
Answer:
NoStep-by-step explanation:
When you divide by a fraction or a decimal you are essentially multiplying that by something lesser than one and so the Calculator, if you are using a Calculator to solve this will, see multiplying something by a decimal or a fraction as a division and vice versa.
What is the perimeter of the triangle?
Answer: 3y + 5 cm
Step-by-step explanation: The perimeter of a triangle
is just the distance around the outside of the figure.
So just add up all the sides.
So we have y + y + y + 5 and we get 3y + 5.
Please help me math inequality grade 8
Answer: x > 2/3
Step-by-step explanation:
-1 - x/2 < x
Simplify:
-1/2x + 1 < x
Subtract x from both sides:
-1/2x + 1 - x < x - x
-3/2x + 1 < 0
Subtract 1 from both sides:
-3/2x + 1 - 1 < 0 - 1
-3/2x < -1
Multiply both sides by 2/(-3):
2/(-3) (-3/2) < 2/(-3) (-1)
x > 2/3