==========================================================
Explanation:
The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.
Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.
Solve for x.
x/162 = 16/27
27x = 162*16 ... cross multiplication
27x = 2592
x = 2592/27
x = 96
The team would win 96 games if it kept the same winning rate going.
Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.
-------------------------
Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.
w = number of games won over the entire 162 game season
162-w = number of games lost over the entire season
w/(162-w) = win to loss ratio
16/11 = win to loss ratio after winning 16 games and losing 11
Setting those last two expressions equal to each other and solving for w gets us...
w/(162-w) = 16/11
11w = 16(162-w)
11w = 2592-16w
11w+16w = 2592
27w = 2592 ... this hopefully looks a bit familiar from before
w = 2592/27
w = 96 games won
Yea also all of this
Answer:
yea I cant really do this over a screen
Answer:
16) photo
Step-by-step explanation:
- parallel lines never meet (a, b, c have no points in common)
- perpendicular lines meet other lines at one point, forming two angles of 90 °
Find the measures of the indicated angles pictures included!!!
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
This is confusing and makes no sense
Answer:
A is the answer
rrrrrrrr
V= 1/3Bh solve for H
A. 3b/v
B. b/3v
C. v/3b
D. 3v/b
Answer: D
Step-by-step explanation:
v = 1/3bh
3v/b = h
Help geometry need help
Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280
14 + 28 + 42 + 56 + … 280
= 14 (1 + 2 + 3 + 4 + … + 20)
= 14 × 20 × 21 / 2
= 2940
where we use the well-known identity,
[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]
If 3x = y -5 and x = 4, then y =
Answer:
y = 17
Step-by-step explanation:
3x = y - 5, for x = 4
=> 3(4) = y - 5
=> 12 = y - 5
=> 12 + 5 = y
=> 17 = y
1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving
Answer:
Below.
Step-by-step explanation:
I'll write sin x as s and cos x as c so we have:
(1 + s +c)/(1 + s - c) = (1 + c)/s
Cross multiplying:
s + s^2 + cs = 1 + s - c + c + cs - c^2
s + s^2 + cs = 1 + s + cs - c^2
s^2 + c^2 + s - s + cs - cs = 1
s^2 + c^2 = 1.
- that is sin^2 x + cos^2 x = 1 which is a known identity.
Therefore the original identity is proved.
If a=b+7 and b+7=9, then a=9
Answer:
a = 9
b = 2
Step-by-step explanation:
Given : a = 9
a = b + 7
9 = b + 7
b = 9 - 7 = 2
need help with this please..
Answer:
.1/2
Step-by-step explanation:
is the same as 20÷40
which gives you 1/2
how do you solve x/4+7=-2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
How do you solve x/4+7 = -2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]
Multiply both sides of the equation by 4.[tex] \large \sf \: x+28=-8 [/tex]
Subtract 28 from both sides.[tex] \large \sf \: x=-8-28 [/tex]
Subtract 28 from -8 to get -36.[tex] \large \boxed{ \bf \: x=-36 }[/tex]
Anyone? Got an ideas
the number of people left to play if ten of fifteen have played
Answer:
5
Step-by-step explanation:
15-10=5
x= -6, Y= 9 and z = -2 evaluate the expression. -5 x Y - (X^4)/ Y-2z
Answer:
418
Step-by-step explanation:
please make me brainlist
which of the following is the best estimate of the square root of 90
Answer:
9.5
Step-by-step explanation:
9.5x9.5= 90.25 which is the closest you can get without going into further decimals
plz help me plz and correctly!!!! only 3 questions plz!!! 100 points
Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
is -15 an integer and rational number?
Answer:
I guess it would help you
For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!??
Answer:
The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.
How many milligrams are equal to 39 grams?
A 390 milligrams
B 390,000 milligrams
C 3,900 milligrams
D 39,000 milligrams
Answer:
39000
1 gram=1000milligrams
hence,
39 grams=39×1000milligrams
=39000milligrams
(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:
Step-by-step explanation:
Distance = √(x_2 - x_1)² + (y_2 - y_1)²
Distance = √[(-a) - a]² + (b - b)²
Distance = √[-2a]² + (0)²
Distance = √4a²
Distance = 2a
A restaurant chef wants to install a new floor In her kitchen the kitchen measures 8 yards wide and 12 yards long, and the flooring costs $3.00 per square yard. How much will the chefs new floor cost?
helpppppppppp it’s multiple choice questions I’ll brainlist!
Answer:#1 is D
Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141
Here is a room with two lasers. Your goal is to get to the opposite side of the room. However there is a catch; if you do not stay equidistant from each laser, you will be blasted. Describe in a Word document how you would find the straight-line path across the room. Be sure to use correct geometric terminology from what you have learned so far.
Step-by-step explanation:
we would calculate the line of sight between the 2 lasers.
then we would create a line that goes through the middle point between the 2 lasers and is perpendicular to the line between the lasers. if we are lucky, then "You" is on the same perpendicular line. if not, we need to shift our starting point to a point where the perpendicular line hits the wall of the room.
by following that perpendicular line precisely, we we always have the same distance from both lasers.
Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon
384400 km = 3.844 × 10⁵ km
Answer:
Exponential notation is a powerful way to express repeated
multiplication of the same number. Specifically, powers of 10
express very large and very small numbers in a manner which is
convenient to read, write and compare.
• For any non-zero integer a, a–m 1
m a
=
• Laws of exponents are
(a) am × an = am+n
(b) am ÷ an = am–n
(c) (am)
n = amn
(d) am × bm = (ab)
m
(e) a° = 1, where a ≠ 0
(f)
m m
m
a a
b b
=
• Numbers can be expressed in expanded form by using exponents.
• Very large and very small numbers can be expressed in standard
form.
• Standard form is also called scientific notation form.
Step-by-step explanation:
Example 1 : Multiplicative inverse of 27 is
(a) 2–7 (b) 72 (c) – 27 (d) – 27
Solution : The Correct answer is (a).
Example 2 : The human body has about 100 billion cells. This number
can be written in exponential form as
(a) 10–11 (b) 1011 (c) 109 (d) 10–9
Solution : The correct answer is (b).
In examples 3 to 5, fill in the blanks to make the statements true.
Example 3 :
4
4 5 (– 4) ______ 4
× =
Solution : 54
Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =
Solution : 6–6
Example 5 : The distance between earth and sun is 150 million
kilometres which can be written in exponential form as
_______.
Solution : 1.5 × 108 km
In examples 6 and 7, state whether the statements are true (T) or false (F):
Example 6 : Very small numbers can be expressed in standard form
using positive exponents.
Solution : False.
Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4
Solution : False.
Step-by-step explanation:
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
Help me with 19 and 20
19 find x
20 find y
Answer:
19) x = 48
20) y = 21
Step-by-step explanation:
19)
7x - 248 + x + 44 = 180
(because they're supplementary angles)
8x - 204 = 180
8x = 180 + 204
8x = 384
x = 48
20)
2y + 50 + 5y - 17 = 180
7y + 33 = 180
7y = 180 - 33
7y = 147
y = 21
Angle A is three times the size of angle B.
The sum of the angle measures is 128 degrees.
What is the measure of angle A?
O 32 degrees
O 90 degrees
O 96 degrees
O 30 degrees
First, let's declare our variables
B = x+2
A = 3(x+2)
Now, let's create our expression.
A + B = 128
Plug in the values for A and B
x+2 + 3(x+2) = 128
We need to solve for x. Start off by simplifying the left side.
x+2 + 3x + 6 = 128
Combine like terms.
4x + 8 = 128
Subtract 8 from both sides.
4x = 120
Divide both sides by 4
x = 30
B = x+2 = 30 + 2 = 32 degrees
A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees
length and width of a field are in the ratio 5.3 If the wilth of 아 the field is 42m, then its length is
Answer:
The length of the feild is:
(42 / 3) x 5 = 70m
So the length of the feild is 70m
Hope it helps, Brainliest please <3
A man is three times as old as his son in 10 years time their combined ages will be 68 how old is each person now person now
Answer:
The dad is 36 and the son is 12
11. Eve reads 25 pages per hour. Write an expression for the number of pages she reads
in h hours.
Answer:
25h = x
Step-by-step explanation:
If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!