Answer:
(-1,10)
Step-by-step explanation:
At the point when the paths cross, the respective x and y values of each equation will be equal.
Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:
4x+2x+12=6
6x=-6
x=-1
y=2x+12
y=2(-1)+12=10
So you will cross paths at (-1,10)
There are 6 seniors on the high school soccer team. Two of them will be chosen to be co-captains. How many ways are there to choose the co-captains? Decide if this is a permutation or a combination, and then find the number of ways to choose the co-captains.
A. Permutation; number of ways = 30
B. Combination; number of ways = 15
C. Combination; number of ways = 30
D. Permutation; number of ways = 15
Answer:
B. Combination; number of ways = 15
Step-by-step explanation:
Since order doesn't matter, this is a combination:
6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15
Therefore, there are 15 possible ways to choose 2 co-captains out of 6.
Combination; the number of ways = 15.
Option B is the correct answer.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.
The number of ways to choose two seniors out of six seniors is given by the formula:
C(6,2) = 6! / (2! * 4!) = 15
Therefore,
Combination; the number of ways = 15.
Learn more about combination here:
https://brainly.com/question/14355408
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2(x+4)-6 = 2(x-8)+1
plz show work because if I don't have it then I can't pass
Answer:
no solution
Step-by-step explanation:
Given
2(x + 4) - 6 = 2(x - 8) + 1 ← distribute and simplify both sides
2x + 8 - 6 = 2x - 16 + 1
2x + 2 = 2x - 15 ( subtract 2 from both sides )
2x = 2x - 17 ( subtract 2x from both sides )
0 = - 17 ← not possible
This indicates the equation has no solution
WILL GIVE BRAINIEST what is the sum of the interior angles of the polygon shown below.
Answer:
900
Step-by-step explanation:
(n-2)*180
5*180=900
Answer:
900°
Step-by-step explanation:
The polygon shown in the picture has 7 sides. The formula for finding the sum of interior angles of an n-gon is:
(n - 2)(180)
We can substitute in 7 for n to get the sum:
(7 - 2)(180)
(5)(180)
900°
please someone answer this question fast!
Answer:
100.05 in^2
Step-by-step explanation:
Area of parallelogram: base times height
=11.5 x 8.7=100.05 in^2
A six-pack of soda costs $1.69, a 12-pack of soda costs $3.99, and a 24-pack of soda costs $5.90. Which pack was the best deal?
Answer:
The 24 because it is suposed to cost 6.76 and it cost 5.90.
What is the measure of ZGMII?
Answer:
answer is A
Step-by-step explanation:
50+90=140
180-140=40
brainliest plz
12. The roots of a quadratic are x = -5 and x = 3.
Which of the following are possible factors of the
quadratic?
David has 55% ownership of a company. If there are 1,300,000 stocks, how many stocks
loes he own?
Answer:
715000
Step-by-step explanation:
1300000 • 55%,
55% = 0.55
1300000 • 0.55 = 715000
Math problem please help me answer A and B
Answer:
a) [tex]\frac{19}{52}[/tex]
b) [tex]\frac{7}{52}[/tex]
Step-by-step explanation:
Total number of students = 52
Number of students who are democrats = 26
Number of students who are business majors = 12
Number of students who are business majors as well as democrats = 7
Now, lets come to the question.
a) Number of students who are democrats but not business majors =
(Number of democrats) - (Number of democrats as well as business majors)
⇒ 26 - 7
⇒ 19
∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]
b) Number of students who are neither democrats nor business majors =
(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)
⇒ 52 - (26 + 12 + 7)
⇒ 52 - 45
⇒ 7
∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]
in the sum of two numbers is 20 and their difference is 10 find the numbers
"The sum of two numbers is 20" can be translated mathematically into the equation:
x + y = 20.
"... and their difference is 10" can be translated mathematically as:
x - y = 10
We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:
Adding the two equations will eliminate the variable y:
x + y = 20
x - y = 10
-----------
2x + 0 = 30
2x = 30
(2x)/2 = 30/2
(2/2)x = 15
(1)x = 15
x = 15
Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):
x + y = 20
15 + y = 20
15 - 15 + y = 20 - 15
0 + y = 5
y = 5
CHECK:
In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:
x + y = 20 x - y = 10
15 + 5 = 20 15 - 5 = 10
20 = 20 10 = 10
Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:
xy = 15(5)
xy = 75
Practice solving roblems involving the volume or
cylinders, cones, and spheres.
Ant
What is the volume of the sphere in terms of r?
V=
IT in 3
6 in
Done
Answer:
V = 4.187r³
Step-by-step explanation:
Volume of a sphere is expressed using the formula;
V = 4/3πr³
r is the radius
Substitute π = 3.14 into the formula
V = 4/3 * 3.14r³
V = 4.187r³
Hence the volume of a sphere in terms of the radius is V = 4.187r³
In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who take History. There are 10 that take Geometry and French, 7 that take History and French and 15 that take Geometry and History. There are 2 students who take all 3 and 5 that take none of these subjects.
Answer:
58 students
Step-by-step explanation:
Given
[tex]Total = 85[/tex]
[tex]French = 27[/tex]
[tex]Geometry = 51[/tex]
[tex]History = 38[/tex]
[tex]None = 5[/tex]
[tex]All = 2[/tex]
Required
Students that take only 1 subjects
The attached image illustrates the question.
For French only (x), we have:
[tex]x + 7 -2+10-2+2=27[/tex]
[tex]x + 15=27[/tex]
Collect like terms
[tex]x =- 15+27[/tex]
[tex]x =12[/tex]
For Geometry only (y), we have:
[tex]y+10-2+15-2+2=51[/tex]
[tex]y+23=51[/tex]
Collect like terms
[tex]y=-23+51[/tex]
[tex]y=28[/tex]
For History only (z), we have:
[tex]z +15-2+7-2+2=38[/tex]
[tex]z +20=38[/tex]
Collect like terms
[tex]z =-20+38[/tex]
[tex]z =18[/tex]
Students with one subject is then calculated as:
[tex]1\ subject = x+y+z[/tex]
[tex]1\ subject = 12 + 28 + 18[/tex]
[tex]1\ subject = 58[/tex]
A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table.
A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries a, d, g. Column 3 is labeled do not play a sport with entries b, e, h. Column 4 is labeled total with entries c, f, i.
Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80
Answer:
yes
Step-by-step explanation:
mark me brainlist please
Answer:
the answer is d
Step-by-step explanation:
Inverse Functions
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.
1
⁻
1
a. 45°
b. 90°
c. 0°
d. 1°
Please select the best answer from the choices provided
Answer:
A. 45°
Step-by-step explanation:
I calculated it logically
What is the surface area of the figure below?
Indicate the answer choice that best completes the statement or answers the question.
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
30 is what percent of 60?
A 200%
ь. 50%
c. 90%
d 18%
Answer:
no.D) 18% is the answer of this question
What is the area of the figure?
A. 54 cm2
B. 42 cm2
C. 54 cm
D. 42 cm
Answer
The area is 54cm² To get the area i split the shape into two shape both having a length of 9in and a width of 3in. I calculate the area for one by using lxw=area and get 27 and times that by two to get 54.
When calculating the area for this object you get 54 and you add the ²symbol because its area is not one dimensioned it is two dimensioned or length times width not just length, so you use the ² symbol to show that.
Answer:
the answer is
b.)42cm2
Step-by-step explanation:
if u add all the figures together u will get ur answer
nana has a water purifier that filters 1/3 of the contaminates each hour
At the Silvermine Subs, they charge $5.75 for the basic sandwich and then $0.45 per ounce for the toppings. If Jordan paid for their sandwich with a $10 billhow many ounces of toppings could they have ordered?
Answer:
9.4 ounces
Step-by-step explanation:
this equation can be derived from the question
$5.75 + $0.45t = 10
where t = ounces of toppings
combine like terms
$0.45t = 10 - $5.75
$0.45t = $4.25
t = 4.25 / 0.45
t = 9.4 ounces
The ratio of pants to shots that John has is 2:3. If John has 8
pairs of pants then how many pants and shorts does he have?
Answer:
12 shirts
Step-by-step explanation:
Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.
Check:
2/3 is equivalent to 8/12
Hope this helps :)
Select all ratios equivalent to 10:5.
110:55
24:2
14:6
Answer:
110:55
Step-by-step explanation:
first, let's simplify all our options
110:55=10:5
the first one works!
(to check if you're not sure, ratios are fractions. using the numerator to divide, you can divide the numerator by the denominator. in this case, the numerator happens to be greater. 110/55=2. 10/5=2. they both equal to 2! they are equivalent. you can use this to solve other problems!!)
24:2= 12:1
this does not work
14:6= 7:3
this does not work
the only one that works is 110:55
hope this helped <33333
Given: Triangle ABC with AB = 42 and BC = 20. Which of the following are possible lengths for AC?
Answer:
46.5
Step-by-step explanation:
Using the Pythagoras' Theorem, this is the answer you would get.
I hope this helped☺
A homeowner is replacing 4 solar modules at a cost of $6,200 for each solar module. She is going to get a discount of x dollars off each module. Write and expression that describes this situation and then simplify.
Answer:
[tex]C = 24800-4x[/tex]
Step-by-step explanation:
Given
[tex]Module =4[/tex]
[tex]Unit\ cost = \$6200[/tex]
[tex]Unit\ Discount = x[/tex]
Required
The expression for total discount
When the discount is applied, the cost (c) of 1 module is:
[tex]C = 6200-x[/tex]
For 4 modules, we have:
[tex]C = 4 * (6200-x)[/tex]
Open bracket
[tex]C = 24800-4x[/tex]
Solve the equation
2x - 4(x-2) = -5 + 4x - 35
HELP ME PLEASEEEEEEEEEEEEEEE
It would be 98 ft,
when you add all the numbers you would get 98, 21 + 7 + 6 + 21 + 15 + 28 = 98
(05.02)A farmer has decided to divide his land area in half in order to plant soy and corn Calculate the area of the entire area so he knows how much soil is needed. SOY #6 yards 6 yards CORN 2.5 yards 6.5 yards Each bag of soil covers 15 Square yards. How many bags should the farmer purchase? 0 1 bag O2 bags O 3 bags 4 bags
9514 1404 393
Answer:
4 bags -- the correct answer is marked
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
where b is the base length and h is the height.
Here, the base is the sum of lengths 2.5 yd and 6.5 yd. The height is given as 6 yd. So, the area is ...
A = (2.5 yd + 6.5 yd)(6 yd) = 54 yd²
At 15 yd² per bag, the farmer will need ...
(54 yd²)/(15 yd²/bag) = 3 3/5 bags
Assuming the farmer can purchase only whole bags, the farmer should purchase 4 bags of soil.
This month, Bia earned $157.50 in commission. How much money, in dollars, did she have in sales?
Enter a number in the space provided
Answer:
Total sales made = $ 4500
Step-by-step explanation:
The complete question is
Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3% commission on the first $3000 she has in sales. She earns a 4.5 % commission on the amount of her sales that are greater than $3000 .This month, Bia earned in commission $157.50. How much money, in dollars, did she have in sales? Enter a number in the space provided.
Solution
3% of the total sales made is the commission on the first $3000 for Bia and on the remaining sum of money the profit made was
Thus,
3% of 3000 + 4.5% of (X -3000) = $157.50
On solving we get -
3% * 3000 + 4.5% * (X-3000) = $157.50
$90 + 4.5% * (X-3000) = $157.50
$90 + 0.045 X - $135 = $157.50
0.045 X = $157.50 + $135 - $90
X = 4500
Total sales made = $ 4500
Zach has $50 to spend on a sweater. Let c represent the cost of the sweater. He has a coupon for 5% off. The expression 50 -(c -0.05c)
represents how much money Zach has left after buying the sweater and using his coupon.
Choose two expressions that also represent how much money Zach has left.
A. 0.950
B. 50 -0.05c
C. 50 -0.950
D. 50-C-0.050
E. 50-C+0.050
Answer:
B and D
Step-by-step explanation:
3. What is the measure of angle F? A 120° D G B A. 60 degrees. B. 90 degrees. C. 120 degrees. D. 180 degrees.
Answer:
120°
Step-by-step explanation:
The angles that has 120° is the same as angle E.
Angle E = 120°
Angle D = 180° - 120° = 60°
60° + Angle F = 180°
Angle F = 180° - 60°
Angle F = 120°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Jazmine has 4 and 2/3 fluid Ounces of coffee
creamer. She uses 1/6 fluid Ounce of
creamer in each cup of coffee. How
many cups of coffee can Jazmine make
with her creamer?