Answer:
x=-2
y=-10
Step-by-step explanation:
x+y=-12
x-y=8
x=y+8
(y+8)+y=-12
2y+8=-12
2y=-20
y=-10
x+10=8
x=-2
Answer:
[tex]x = - 2 \\ y = - 10[/tex]
Step-by-step explanation:
[tex]x + y = - 12 \\ x - y = 8[/tex]
[tex]x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ \frac{2x}{2} = \frac{ - 4}{2} \\ x = - 2[/tex]
[tex]x + y = - 12 \\ - 2 + y = - 12 \\ y = - 12 + 2 \\ y = - 10[/tex]
Which choice is equivalent to the fraction below
Answer:
D
Step-by-step explanation:
Answer: letter D five divided by twelve
Identify the equation of the translated graph in general form x^2+y^2=7 for T(-8,4) A. x^2 + y^2 + 16x - 8y + 73 = 0 B. x^2 + y^2 + 8x - 4y - 73 = 0 C. x^2 + y^2 + 16x + 8y + 73 = 0 D. x^2 + y^2 + 8x + 4y + 73 = 0
Answer:
The correct option is A
Step-by-step explanation:
The standard form of equation of circle is written as:
(x - a)² + (y - b)² = r²
Where centers is given as (a,b)
The equation of the circle given in the question is:
x² + y² = 7
If the circle is translated T(-8,4), it means that the centre of translated circle lies at (-8,4).
So standard form of equation of circle is:
(x + 8)² + (y - 4)² = 7
Simplifying the equation:
(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7
x² + 64 + 16x + y² + 16 - 8y = 7
x² + y² + 16x - 8y + 80 = 7
x² + y² + 16x - 8y + 80 - 7 = 0
x² + y² + 16x - 8y + 73 = 0
which is the general form of the equation of circle
There are 5 positions open. 20 candidates applied. 14 are men, 6 are women. The
company decided to give 3 positions to men, 2 to women. How many outcomes are
possible?
Answer:
2307 ways
Step-by-step explanation:
Given
Candidates: 5
Men (Applicants): 14
Women (Applicants): 6
Job Positions: 5
Man = 3
Women = 2
Required:
Number of possible outcomes
This question represent selection; i.e. selecting candidates for job positions;
This question can be solved by using Permutations/Selection formula
Given that 3 man are to be selected from 14 men and 2 women from a total of 6 women
Let M represent Men and W represent Woman
Number of ways = M + W
Calculating M
[tex]M = nPr[/tex]
Substitute nPr with its formular
[tex]M = \frac{n!}{(n-r)!}[/tex]
Where n = 14 men and r = 3 applied
[tex]M = \frac{14!}{(14 - 3)!}[/tex]
[tex]M = \frac{14!}{11!}[/tex]
[tex]M = \frac{14*13*12*11!}{11!}[/tex]
[tex]M = 14*13*12[/tex]
[tex]M = 2184[/tex]
Calculating W
[tex]W = nPr[/tex]
Substitute nPr with its formula
[tex]W = \frac{n!}{(n-r)!}[/tex]
Where n = 6 men and r = 2 applied
[tex]W = \frac{6!}{(6-2)!}[/tex]
[tex]W = \frac{6!}{2!}[/tex]
[tex]W = \frac{6*5*4*3!}{2!}[/tex]
[tex]W = 6*5*4[/tex]
[tex]W = 120[/tex]
Recall that Number of ways = M + W
Number of Ways = 2184 + 123
Number of Ways = 2307
Brainliest for whoever gets this right
Please help ASAP!!!
Answer :
x = 2
y = -1
I hope it helps
Simplify please -4x -3x
Answer:
-7x
Step-by-step explanation:
= -4x-3x
Taking x common
= x(-4-3)
= x(-7)
= -7x
A student spends 17/35 of his pocket money on transport and fruits. He spends 5/6 of the remainder on sweets. What fraction of his pocket money does he spend on sweets?
Answer:
1/3
Step-by-step explanation:
Help please URGENT
50 POINTS!
Answer:
2y° + x° + y° + 2x° + (180-33)° = 360°
3x + 3y + 147 = 360
3(x+y) = 360 - 147
3(x+y) = 213
x+y = 71
2y + 2x + K = 180
2(x+y) + K = 180
2 *71 + K = 180
142 + K = 180
K = 38°
the last one
Answer a on edge
Step-by-step explanation:
HELP ME PLEASE THIS IS REALLY IMPORTANT
Answer:
4
Step-by-step explanation:
COUNT ALL (16) DIVIDE BY 4
Answer: 4
Step-by-step explanation:
Each baseball team has a quantity of baseballs.
To find the mean, add all quantities and divide by how many teams there are.
7 + 2 + 4 + 3 = 16
16 / 4 = 4
What type of triangle center is shown as point H in the figure? ANSWERS: A) Orthocenter B) Circumcenter C) Incenter D) Centroid
Answer:
D) Centroid
Step-by-step explanation:
DB,AG and CE are medians of the triangle and when they intersect at one point, their point of concurrency is called centroid.
Answer: D (Centeriod)
Step-by-step explanation:
Because point H is in the center of the triangle, and the centeroid is located in the center of the triangle
Determine the value of w. options: A) 90° B) 155° C) 89° D) 25°
Answer:
Please mark me brainliest and I hope this helped!
w = 89°
Step-by-step explanation:
For this triangle, we have to get the supplementary angle of 122°. 180° - 122° is 58°. We then take 58° and add it to 33°. That is 91°. To find w, we subtract 91° from 180°. That gives us 89°.
Answer:
89
Step-by-step explanation: I took the test
Paige’s Sub Shop charges $7 per 6-inch sub and $2 for delivery of each order. Which equation best represents the total cost of an order, y, based on x sandwiches ordered? A.y=2x+7 B. y=7x+2 C. y=76x+2 D. y=67x+2
Answer:
B. y=7x+2
Step-by-step explanation:
if 8 people can pick the apples from the trees in 6 days, how long will it take 12 people
Answer:
4 days
Step-by-step explanation:
8 people can do the job in 6 days, job is this case is picking apples.
The amount of the job (apples) is same and the only variable is number of people which changes the time accordingly.1 person can do same job for 6*8= 48 days
12 people can do same for 48/12= 4 days
1) A certain disease has an incidence rate of 0.5%. If the false negative rate is 6% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease. 2) Karla has 10 shirts, 6 shorts, and 3 pairs of sandals. How many different combinations of outfits could she make? 3) You get to choose your new 4 digit pin number for your debit card. If you are allowed to repeat the numbers, how many different pin numbers from which do you have to choose? 4) If 380 people ran in the Savannah Bridge Run, how many ways can first, second, and third place be awarded? 5) There are 210 employees that work the assembly line at the local automotive plant. The boss has to choose a group 5 to go to training. How many different ways can he choose the group?
Answer:
1) The probability that a person who tests positive actually has the disease is 0.1056 or 10.56%
2) 180 combinations
3) 5040 pin numbers can be chosen
4) 54439560 ways
5) 389283935040 ways
Step-by-step explanation:
1) From Bayes' theorem, we have;
[tex]P(A\mid B) = \dfrac{P(A)P(B\mid A)}{P(A)P(B\mid A)+P\left (\overline{A} \right )P\left (B\mid \overline{A} \right )}[/tex]
Where:
[tex]P(A\mid B)[/tex] = Percentage of the population that tests positive for the disease that actually have the disease
P(A) = Incidence rate = 0.5% = 0.005
[tex]P(B\mid A)[/tex] = Percentage of the population that have the disease and will tests positive = 1 - 0.06 = 0.94
[tex]P\left (\overline{A} \right )[/tex] = P(no disease) = 1 - 0.005 = 0.995
[tex]P\left (B\mid \overline{A} \right )}[/tex] = P(positive [tex]\mid[/tex] no disease) = False positive = 0.04
From which we have;
[tex]P(A\mid B) = \dfrac{0.005 \times 0.94}{0.005 \times 0.94 +0.995 \times0.04} = 0.1056[/tex]
Therefore, the probability that a person who tests positive actually has the disease = 0.1056 or 10.56%
2) The parameters given are;
The number of shirts that Karla has = 10 shirts
The number of shorts that Karla has = 6 shorts
The number of pairs of sandals that Karla has = 3 pairs
Therefore;
The number of ways Karla can choose her shirts = 10 ways
The number of ways Karla can choose her shorts = 6 ways
The number of ways Karla can choose her pair of sandals = 3 ways
The total combination of outfits Karla can make = 10 × 6 × 3 = 180 combinations
3) We have;
The number of permutations of 10 numbers taking 4 at a time is given as follows;
n!/(n-r)! = 10!/(10-4)! = 10!/6! = 5040 pin numbers can be chosen
4) The number of ways the first second and the third can be awarded is 380×379×378 = 54439560 ways
5) The number of ways is 210×209×208×207×206 = 389283935040 ways.
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Please help!!
Complete each table
Y=1/2x+3
What is the solution to the system of equations?
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,
[tex]y=\frac{1}{2}x+3[/tex]
x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)
Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical 115-volt outlet can be expressed by the function V(t)=163 sin wt Upper V left parenthesis t right parenthesis equals 163 sine omega t
,
where omega=w
is the angular speed (in radians per second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec.
How many times does the current oscillate in 0.30
sec?__times
Answer:
n = 18 cycles
Step-by-step explanation:
To know how many times does the current oscillates in the given time, you take into account that the number of oscillation can be calculated by using the following expression:
[tex]n=ft[/tex] (1)
f: frequency of the oscillation of the current
t: time = 0.30s
The frequency is the number of cycles per second, that is, f = 60 cycles/s
You replace the values of f and t in the equation (1):
[tex]n=(60\frac{cycles}{s})(0.30s)=18\ cycles[/tex]
In 0.30s the current oscillates 18 times
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answer:
I'm not sure, but I think it is (0, -6).
A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00, determine the individual prices.
Step-by-step explanation:
Let F represent fruitshake and C chocolate milkshake
one fruitshake cost more 2R more than chocolate shake and
3F + 5C = R78,00
Then (78 - 6) ÷ 8 = 9
a fruitshake costs R11,00 and chocolate milkshake costs 9R,00
8. Graph the function
Answer:
Last option is the correct choice.
Step-by-step explanation:
See the attachment below.
Best Regards!
Determine the length of AB .Write your answer in simplest form.
Answer:
Multiply to find your answer
Step-by-step explanation:
Answer:
AB= 4
Step-by-step explanation:
Big ideas :)
Question is the ScreenShot C:
A. 12
B. 13
C. 16
D. 18
Answer:
B. 13
Step-by-step explanation:
[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]
Answer:
B. 13 is the answerStep-by-step explanation:
First, use PEMDAS
Parenthesis, Exponents, multiplication, division, addition, subtraction
1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents
1/16*48 = 48/16 = 3 = Multiplication and Division
3+10 = 13 = Addition
This can conclude that 13 is the answer.
If we do not know the distraction type, we cannot apply Chebychev’s Theorem?
True or false ?
Find the area of the circle.
Use 3.14 for Pie
A = pie r to the 2nd power
14 cm is inside circle
Give your answer to the nearest hundredth.
A = [?] cm2
Answer:
See Explanation Below
Step-by-step explanation:
Your question isn't clear; However, I'll solve in two ways
1. Diameter = 14 cm
2. Radius = 14 cm
When Diameter = 14 cm
Given
[tex]Area = \pi r^2[/tex]
[tex]Diameter = 14cm[/tex]
Required
Calculate the area of the circle
First, the radius has to be solved;
[tex]Radius = \frac{1}{2} Diameter[/tex]
[tex]Radius = \frac{1}{2} * 14cm[/tex]
[tex]Radius = 7cm[/tex]
Using the given formula;
The area is as follows
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 * 7^2[/tex]
[tex]Area = 3.14 * 49[/tex]
[tex]Area = 153.86cm^2[/tex]
When Radius = 14 cm
Given
[tex]Area = \pi r^2[/tex]
[tex]Radius = 14cm[/tex]
Required
Calculate the area of the circle
Using the given formula;
The area is as follows
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14 * 14^2[/tex]
[tex]Area = 3.14 * 196[/tex]
[tex]Area = 615.44cm^2[/tex]
Imagine math help, what's the answer to the question?
Answer:
The Answer would be the Top Right
Step-by-step explanation:
One Pen equals 2x a Pencil
1 Pen + 1 Pencil = $2.10
1 pen would equal 2 pencils so you have 3 pencils which equal 2.10
Divide 2.10 by 3 to get .70
its distributed equally.
p/3 = 2.10
Answer:
Top Right
Step-by-step explanation:
Hope this helps :)
Karli's age now is twice what it was ten years ago. How old is Karli now? Use K for
Karli's age and write the equation
and find her age
Answer:
20
Step-by-step explanation:
K=?
K= x*2= 2x
K= 10*2 = 20
A ten year ago she was 10 and after ten years she is 20, so 20 is twice 10
Which statement illustrates the distributive property? A.3 (4 + 5) = 3 (4) + 5 B. 3 (4 + 5) = 3 (4) + 3 (5) C.3 [(4) (5)] = 3 (4) + 3 (5) D.3 [(4) (5)] = [ 3 (4)] + [ 3 (5)]
Answer:
B. 3(4+5) = 3(4) + 3(5)
Step-by-step explanation:
with distributive property, you multiply the number outside the parentheses to all of the numbers inside.
Answer:
it is B
Step-by-step explanation:
i did the test
For what values (cases) of the variables the expression does not exist: a/2x−4 (That equation is a fraction)
Answer:
When x=2 the expression is undefined
Step-by-step explanation:
When the denominator is zero, the expression is undefined
2x-4 =0
2x=4
x=4/2
x=2
When x=2 the expression is undefined
A battalion of 880 people is made up of four companies. Each company is made up of five platoons. Each platoon contains four squads. If each company has the same number of people, as do each platoon and each squad, how many people are in each squad?
Answer:
11 people are in each squad.
Step-by-step explanation:
A battalion of 880 people is made up 4 companies.
880/4 = 220 people
which means 1 company is made up of 220 people.
Each company is made up of 5 platoons.
220/5 = 44
which means each platoon is made up of 44 people
Each platoon contains 4 squads
44/4=11
which means each squad contains 11 people.
therefore each squad contains 11 people.
45% of a 300ml drink is concentrated pineapple juice. The rest is water. Find the volune of water that must be added so that 40% of the drink is concentrated pineapple juice.
Answer:
37.5 mL
Step-by-step explanation:
If x is the volume of water, then:
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
45% of a 300ml drink is concentrated pineapple juice.
If x is the volume of water, then we get;
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ5
Alex and Thomas share 30 sweets. They divide them in the ratio 3:2.How many sweets does Alex and Thomas receive?
Answer:
Alex: 18
Thomas: 12
Step-by-step explanation:
A : T : TOTAL
3 : 2 : 3 + 2 = 5
total number of units : 5
total number of sweets : 30
1u = 30 ÷ 5 = 6
Alex = 3u = 3 × 6 = 18
Thomas = 2u = 2 × 6 = 12