Answer:
There are 7 teams in the league
Step-by-step explanation:
Given that the number of games is given by:
[tex]G(n) = \frac{(n^2-n)}{2}[/tex]
The equation will be used to determine the number of games. As we already know, that 21 games are scheduled which means G(n) is 21 so we have to find n when G(n) is 21
Putting this mathematically
[tex]21 = \frac{n^2-n}{2}[/tex]
Multiplying equation by 2
[tex]2*21 = 2*\frac{n^2-n}{2}\\42 = n^2-n\\n^2-n-42 = 0\\n^2-7n+6n-42 = 0\\n(n-7)+6(n-7) = 0\\(n-7)(n+6)=0\\n-7 = 0 => n=7\\n+6=0 => n=-6[/tex]
As the number of teams cannot be negative, the number of teams in league are 7.
Hence,
There are 7 teams in the league
Can anyone help me with this?
Step-by-step explanation:
for a it's y=12x+60
for b it's y=1x+21
for c it would be) 40-70=-30/1-3=-2 and then divide -30/-2 is 15.
for d it would be y=20x+20
it would be ethier a or d
Question 1 An online music store is offering a promotion. When you spend $35 or more, you receive 3 songs for free. You buy an album for $12. Identify an inequality that represents how much more money *m* you must spend to receive the three free songs.
Answer:
you need to spend 23 Dollars
What appears to be the range of the part of the function shown on the grid?
Answer:
(-5,2)
Step-by-step explanation:
Answer:
x ≥ −5
Step-by-step explanation:
I'm pretty sure this is the answer.
if it isn't, I'm sorry for disappointing you.
Write the equation for (3,6) in a point-slope form
Answer )Step-by-step explanation:
y
−
6
=
3
(x
−
3)
Answer:
y - 6 = m(x - 3)Step-by-step explanation:
Use the given point (3, 6)
But slope is not known, need it to be known or the second point to find it
y - 6 = m(x - 3)The teachers need to buy eggs and plastic spoons for the egg race event. The teachers want to have 1 egg for every spoon. The eggs are sold in packs of 6 , and the spoons are sold in packs of 10 . If the teachers want to buy exactly 30 spoons and have no leftovers, they need to buy
Answer:
5 packs of eggs
3 packs of spoons
Step-by-step explanation:
Eggs are sold in packs of 6
Spoons are sold in packs of 10
The teachers want to have 1 egg for every spoon
Find the Lowest common multiple of 6 and 10
6 = 12, 18, 24, 30, 36, 42, 48, 54, 60
10 = 20, 30, 40, 50, 60
The lowest common multiple of 6 and 10 is 30
If the teachers want to buy exactly 30 spoons and have no leftovers
Eggs are sold in packs of 6
Number of packs needed = 30 /6
= 5 packs
Spoons are sold in packs of 10
Number of packs needed = 30/10
= 3 packs
The teacher will buy 5 packs of eggs and 3 packs of spoons to have exactly 30 spoons and have no leftovers
The first five multiples of the number 3
Answer: 3,6,9,12,15
Step-by-step explanation:
Im not sure how to explain this but if you listen to school house rock multiple of three song it helps.
please help asap !!!!
please, i really need help
Find the slope of 1,3 and 1,-2
Answer:
M=0
Step-by-step explanation:
i did math
(Give Brainliest)need ASAP
Answer:
the answer is 1/2
Step-by-step explanation:
Mean is add up all the numbers and divide by how many numbers there is, so -(2+5-10+15)/4, which is 2/4 or 1/2 plz mark brainliest hope this helps
Anthony pald $273.20 for 4 new tires. What was the cost of each tire in dollars and cents?
F) $269.20
G) $6.83
H) $53.40
J) $68.30
Answer: J) $68.30
Step-by-step explanation:
$273.2/4=$68.3 for each tire
Answer:
J) $68.30
Step-by-step explanation:
Because there are 4 tyres, you split $273.20 into 4 parts, which is $68.30. I hope this helps!
A local school sold 230 tickets for their performance of Hamlet. They sold a combination of regular tickets and student tickets. The regular tickets sold for $8 each and the student tickets sold for $5. That night they collected $1522 in ticket sales. Write an equation that describes each piece of information. Let "R" represent the number of regular tickets and "S" represent the number of Student tickets. (Hint: Create a system of equations.)
Answer:
R+S=230-------------1
8R+5S=1522--------2
Step-by-step explanation:
Step one:
given data
let regular be R
and Students be S
total tickets =230
cost of regular = $8 each
cost of students tickets = $5 each
total cost of the both tickets = $1522
Required
The systems of equations
1. for the total number of tickets
R+S=230-------------1
2. For the total cost
8R+5S=1522--------2
Hence the systems of equation for the situation is
R+S=230-------------1
8R+5S=1522--------2
A computer store buys a computer system at cost of 572.40 cents the selling price was first at 9:54 but then the store was advised at 20% markdown on the system answer parts a and b
Answer: See explanation
Step-by-step explanation:
A. Find the current sale price. Round to the nearest cent if necessary.
B) Members of the stores loyalty club can and additional 10% off their computer purchases. How much do club members pay for the computer with their discount.
A. Current sales price will be:
= $954 - (20% × $954)
= $954 - (0.2 × $954)
= $954 - $190.80
= $763.20
B. Club members will pay:
= $763.20 - (10% × $763.20)
= $763.20 - (0.1 × $763.20)
= $763.20 - $76.32
= $686.88
If point P(3,-2) is rotated 90° about the origin, what is the
image of P?
Answer:
( -3, -2 )
Step-by-step explanation:
Rate me branliest please :)
John's sister went shopping with him. She expected to spend $100 on clothes, but spent only $10. John wanted to help her calculate the percent error, but he thinks he may have made a mistake. Are his calculations below correct? Why or why not?
Answer:
10%
Step-by-step explanation:
Answer: John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.
Step-by-step explanation:
Solve 6.1−0.3≥c+1.
please help me
Answer:
c≤ 24/25
Step-by-step explanation:
"0.3" was replaced by "(3/10)". 2 more similar replacement(s). Simplify 3/10
61 3
(—— - ——) - (c + 1) ≥ 0 then simplify 61/10
10 10
3.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
61 - (3) 29
———————— = ——
10 5
29
—— - (c + 1) ≥ 0
5
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
c + 1 (c + 1) • 5
c + 1 = ————— = ———————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Rewrite the whole as a fraction using 5 as the denominator :
c + 1 (c + 1) • 5
c + 1 = ————— = ———————————
1 5
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
29 - ((c+1) • 5) 24 - 5c
———————————————— = ———————
5 5
24 - 5c
——————— ≥ 0
5
Multiply both sides by 5
5.2 Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
5c-24 ≤ 0
5.3 Divide both sides by 5
c-(24/5) ≤ 0
5.4 Add 24/5 to both sides
c ≤ 24/5
Answer:
wehj
Step-by-step explanation:
Could u guys help me plz?
9514 1404 393
Answer:
84.7 units²118.125 in³Step-by-step explanation:
The surface area of the triangular prism is the sum of its base areas and the lateral area. The total area of the two triangular bases is ...
A = bh = 7(6.1) = 42.7 . . . square units
The lateral area is the product of the perimeter of the base and the length of the prism. The height given for the prism is consistent with it having triangular bases that are equilateral triangles. That is, the unmarked dimension is likely 7 units, so the perimeter is ...
P = 7+7+7 = 21
and the lateral surface area is ...
LA = PL = 21·2 = 42
Then the total surface area of the prism is ...
total area = A + LA = 42.7 +42 = 84.7 . . . square units
__
The volume of a rectangular prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Your prism has a volume of ...
V = (26.25 in²)(4.5 in) = 118.125 in³
The graph shows the function f(x) = 2^x
What is the value of x when f(x) = 4?
O A. 2
O B. 3
O C. 1
O D.O
Answer:
2
Step-by-step explanation:
Does the data for oliva's pup show a function? Why or why not
Answer:
Yes, it does show a function because for every input(weeks), there is one output(weight).
Step-by-step explanation:
A function is something that takes in an input and gives you one output.
Based off the data, there is only one output for each input; therefore, the data is a function.
Which expression is equivalent to 5^10 times 5^5?
A. 5^2
B. 5^5
C. 5^15
D. 5^50
Awnser D is already ruled out
I believe the answer is A
I NEED help pls i will give branliest sry don’t kn how to spell it :p
Answer: 58°.
Step-by-step explanation: From what is given, we see that the other three angles are 122°, 90°, and 90°. Since we know that the sum of the interior angles of a quadrilateral adds up to 360°, we just add up 122, 90, and 90 and subtract the sum from 360°. 122 + 90 + 90 = 302. 360 - 302 = 58. Thus, the answer is 58°.
this is 3 question help please
When making a batch of cookies, the recipe calls for 1 cup of sugar and 2 cups of flour. What is the ratio of sugar to flour in the cookies?
Answer:
5243 65 A
Step-by-step explanation:
Answer:1/2
Step-by-step explanation:
1/2
1. (x + 2) < −3(x + 4)
2. −3x + 3 < 6
number 1:
[tex]x>\frac{-7}{2}[/tex]
number 2:
[tex]x>-1[/tex]
please help!! i need this done before tonight
Answer:
73.3
Step-by-step explanation:
cos 39=(57/x)
x=57/cos 39
= 73.345=73.3
cos x =adjacent/hypotenuse
adjacent is side where angle is subtended
hypotenuse is the longest side of the triangle
Im building my first gaming pc soon, any recommendations/tips?
Answer:
get a nvidia 2600 rtx it a good graphics card and then get a i7 its a good cpu
Step-by-step explanation:
What is the slope of the line?
A. 3/4
B. -3/4
C. -4/3
D. 4/3
Answer:
d, you go up for and over 3
I'm so lost in trigonometry please help??
Answer:
The ladder will go approximately 35.71 ft up the building.
Step-by-step explanation:
The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.
It means the ladder will form a right triangle with the building with the following dimensions:
base = 35 f t hypotenuse = 50 f t height = ?Using the Pythagorean Theorem to determine the height,
[tex]a^2+b^2=c^2[/tex]
Here,
a is the heightb is the basec is the hypotenuseSubstitute the given values into the equation to determine the height:
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+\left(35\right)^2=\left(50\right)^2[/tex]
[tex]a^2+1225=2500[/tex]
[tex]a^2=1275[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]a=\sqrt{1275},\:a=-\sqrt{1275}[/tex]
[tex]a\:=\:35.71,\:\:\:a\:=\:-35.71[/tex]
We know that height can not be negative. Thus,
[tex]a=35.71[/tex] ft
Therefore, the ladder will go approximately 35.71 ft up the building.
What's the reciprocal of -2?
Answer:
-1/2
Step-by-step explanation:
Mario’s speed while riding his bike is shown in the graph.
Answer:
99fht
Step-by-step explanation: