Answer:
t(g)= -4g + 20
Step-by-step explanation:
James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays
Solution
Let
g=No. of games James plays
t= No. of tokens James has.
Find the slope using
y=mx + b
Where,
m = Slope of line,
b = y-intercept.
Before James started playing the games, he has a total of 20 tokens.
That is, when g=0, t=20
After James played the games 3 times, he has 8 tokens left
That is, when g=3, t=8
(x,y)
(0,20) (3,8)
m=y2-y1 / x2-x1
=(8-20) / (3-0)
= -12 / 3
m= -4
Slope of the line, m= -4
y=mx + b
No. of tokens left depend on No. of games James plays
t is a function of g.
t(g)
t(g)= -4g + 20
Answer:
-4g + 20
Step-by-step explanation:
I did it on khan and this was right
Cheeseburgers are two for
$5.00. How much would 5
cheeseburgers cost?
Answer:
5 cheeseburgers would be 12.50
Step-by-step explanation:
5 / 2 is 2.50 , 2.50 for one cheeseburger times 5 is 12.50
Answer: If two cheeseburgers are $5 the then one cheeseburger is 2.50
So 2.50 x 5 is 12.50
So it's 12.50 for 5 cheeseburgers
Name the intersection of lines a and b
Answer:
W is the point of intersection of the lines 'a' and 'b'.
Step-by-step explanation:
Three points lying on line 'b' are points Y, Z and W.
Similarly, three points on line 'a' are points V, X and W.
Common point lying on both the lines 'a' and 'b' is W.
Therefore, point of intersection of the lines 'a' and 'b' is W.
What is this please answer quick it’s easy
I think you multiply 3/5 times 14. You would get 8.4 pounds which would be 8 2/5.
What property are these? Associative property of addition, Commutative property of addition, identity property of multiplication, Associative property of multiplication, Commutative property of multiplication. 1. (3 x 7)(8) = 3(7 x 8) 2. (7k)5 = 5(7k) 3.8(x + 15) = (8)(x) + (8)(15)
Answer:
Step-by-step explanation:
1) (3 * 7)(8) =3 (7 * 8)
Associative property of multiplication
It states that product of three or more numbers remains same regardless the way they are grouped
2) (7k)5 = 5(7k)
Commutative property of multiplication
3) 8(x +15) = (8)(x) + (8)(15)
distributive property
Which sign makes this number sentence true?
|-56| __ |56|
A. >
B. <
C. =
D. x
Answer:
C) =
Step-by-step explanation:
I -56I = I56I
Absolute value of a number I X I is always non-negative value
Value of I -2 I = 2 & I 2I = 2
Answer:
C
Step-by-step explanation:
Since they are absolute value, they are both the same distance from zero
Question 1 (1 point)
Simplify the expression 167x - x by combining like terms.
a) 166x
b) 167x
c) 167
D) 166x*2
Answer:
a) 166x.
Step-by-step explanation:
167x - x
= 166x.
Answer:
The correct answer is A) 166x
Hoped I helped
Which graph shows a proportional relationship?
Answer:
The second option
Step-by-step explanation:
The rate of change needs to stay constant.
The rate of change can be explained by looking at the "rise" (y) over the "run"(x)
The rate of change for the second option is 2. We know this because...
Rise(2)
----------
Run(1)
Try looking at one of the points, now go up 2 and over 1, you should now be at the second point, do it again but twice, you should now be at the third point. A proportional relationship must also go through the origin (0,0)
Choose the product of
(3+v7)(3-7)
Answer:
In descending order, you answer would be (70v - 18). Hope this helps!
Step-by-step explanation:
Answer:
the answer is C on edge
Step-by-step explanation:
You have a bag of M&M’s with 4 green, 5 yellow, 3 brown, and 8 red M&M’s. What is the probability of selecting 1 yellow followed by a green without replacement?
Answer:
the probability is 5/20 for picking one yellow
and the probability is 4/19 for picking green one right after
Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________
A) Replaced
B) Not Replaced
Answer:
A) 1/2197
B) 1/5525
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome.
Since there are 52 random cards in a deck of card, the total outcome will be 52.
a) Also in a deck of card, there are 4 aces. If we are to select 3 aces with replacement, this means that each time we pick up an ace from the card, it was returned.
Pr(drawing an ace) = 4/52
Pr(drawing 3 aces and replacing it) = 4/52 *4/52*4/52
Pr(drawing 3 aces and replacing it) = 64/140,608
Pr(drawing 3 aces and replacing it) = 1/2197
b) If we pick 3 aces without replacement then each time we pick an ace, the total number cards keeps reducing.
Pr(picking the first ace) = 4/52
Pr(picking the second ace without replacing) = 3/51 (Since we didn't replace the first one, the total ace in the deck of card will reduce to 3 and the total will be 51)
Pr(picking the third ace without replacing) = 2/50 (since we didn't replace the first two aces, the total ace in the deck of card will reduce to 2 and the total will be 50)
Pr(drawing 3 aces without replacement) = 4/52*3/51*2/50
Pr(drawing 3 aces without replacement) = 24/132,600
Pr(drawing 3 aces without replacement) = 1/5525
One number is times a first number. A third number is 100 more than the first number. If the sum of the three numbers is , find the numbers. The three numbers are nothing. (Use a comma to separate answers as needed.)
Question:
One number is 7 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 505, Find the numbers.
Answer:
The numbers are 45, 315 and 145
Step-by-step explanation:
Represent the three numbers with A, B and C
Required
Find A, B and C
From the first statement;
[tex]B = 7 * A[/tex]
[tex]B = 7A[/tex] --- (i)
From the second;
[tex]C = 100 + A[/tex] ---- (ii)
From the third;
[tex]A + B + C = 505[/tex] ---- (iii)
Substitute 7A for B and 100 + A for C in (iii)
[tex]A + 7A + 100 + A = 505[/tex]
Collect like terms
[tex]A + 7A + A = 505 - 100[/tex]
[tex]9A = 405[/tex]
Divide both sides by 9
[tex]A = 45[/tex]
Substitute 45 for A in (i)
[tex]B = 7A[/tex]
[tex]B = 7 * 45[/tex]
[tex]B = 315[/tex]
Substitute 45 for A in (ii)
[tex]C = 100 + A[/tex]
[tex]C = 100 + 45[/tex]
[tex]C = 145[/tex]
Hence, the numbers are 45, 315 and 145
Jaycee Alvarez deposits $425 in a savings account at City Bank. The account pays an annual interest rate of
5.5 percent. She makes no other deposits or withdrawals. After three months the interest is calculated. How
much simple interest does her money earn?
Answer: $5.84
Step-by-step explanation:
Simple interest is calculated using the formula: PRT/100
where P = principal = $425
R = rate = 5.5%
T = time = 3/12 = 1/4 = 0.25
S.I = PRT/100
= (425 × 5.5 × 0.25)/100
= $584.375/1000
= $5.84
What is the value of this expression?
(-2)5
Answer:
the answer is -10
Step-by-step explanation:
-2 × 5 = -10
for 10 pts what is 2 1/5 + 1 3/4
Answer:
3 19/20
Step-by-step explanation:
11/5+7/4=
44/20+35/20=
79/20=
3 19/20
Which expression is equal to 3 V-75?
15173
15v3i
-15iV3
-1573
न
2
3
4
5
Answer:
15i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Given
3[tex]\sqrt{-75}[/tex]
= 3 × [tex]\sqrt{25(3)(-1)}[/tex]
= 3 × [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]
= 3 × 5 × [tex]\sqrt{3}[/tex] × i
= 15i[tex]\sqrt{3}[/tex]
Marc wants to guess how many marbles are in a box that has a height of 18 inches. He calculates that there are 32 marbles in a height of 5 inches. Approximately how many marbles are in the box?
So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.
[tex]\frac{32}{5} = \frac{x}{18}[/tex]
To get from 5 to 18, you multiply by 3.6.
Do the same thing to the numerator; 32 × 3.6 = 115.2.
Since 0.2 marbles is no marbles, you round down.
There are 115 marbles in the box.
♡ Hope this helps! ♡
❀ 0ranges ❀
The length of a rectangle is 3 more than twice the width. The area of the rectangle is 119 square inches. What are the dimensions of the rectangle
the graph models the projected populations, in thousands, of two towns after x years. both towns experience a 1.9% annual growth rate. which equation represents g(x) as a transformation of f(x)?
a. g(x) = f (x+3/5)
b. g(x) = f (x-5/3)
c. g(x) = f (x) + 3/5
d. g(x) = 5/3 * f(x)
Answer:
d. g(x) = 5/3 * f(x)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. Transforming an object involves transforming all the points in the object. Types of transformation are rotation, reflection, dilation and translation.
From the graph When x = 0, y = f(0) = 30, also when x = 16, y = f(16) = 40
For the graph of g(x), when x = 0, y = g(0) = 50 and when x = 16, y = g(16) = 67
This means that g(x) = 5/3 * f(x), g(0) = 5/3 * f(0) = 5/3 * 30 = 50, also g(16) = 5/3 * f(16) = 5/3 * 40 = 67
Answer:
D.)
Step-by-step explanation:
0.580 repeating as a fraction
Answer:
Write out your decimal as the numerator of a fraction:
0.50 /1
Multiply to remove the 2 decimal places:
0.50 /1 × 100 /100= 50 /100
Find the Greatest Common Factor of 50 and 100:
GCF is 50
Divide both numerator and denominator by 50:
50 ÷ 50
100 ÷ 50 = 1 /2
therefore your answer is 1/2
Hope this helps! （づ￣3￣）づ╭❤～
Answer:
115/198
Step-by-step explanation:
The correct answer is 115/198.
Find the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20
Answer:
Step-by-step explanation:
I have listed every number and unbolded the numbers that are divisible by 2 and 3
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
so it is 13/20
The probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20 is 13/20.
What is probability?Probability is the likeliness of happening an event among all the events possible to happen. The formula of calculating probability is number/ events/total numbers/ total events. The value of probability lies between 0 and 1.
How to calculate probability?We have to find out the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20.
Multiples of 2 from 1 to 20=2,4,6,8,10,12,14,16,18,20= 10 numbers
Multiples of 3 from 1 to 20=3,6,9,12,15,18=6 numbers
Common multiples 6,12,18=3 numbers
Total numbers from 1 to 20=20
Probability=(10+6-3)/20
[ we have deducted 3 because we have to just take a number once while calculating probability]
=13/20
Hence the probability of selecting a multiple of 2 or a multiple of 3 from the integers 1-20 is 13/20.
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1. Martha can paint a room in 2 hours. Jamie can paint the same room in 6
hours. How long, to the nearest tenth of an hour, will it take them to paint
the room together?
2. Sally can paint a room in 4 hours. Joe can paint a room in 6 hours. How
long will it take if they paint the room together?
3. Nicole can paint a room in six hours, Alexandra can paint a room in 5 hours,
and Liana can paint a room in 4 If all three work together, how long
will it take them to paint the room?
4. Jake can paint a room in 7 hours, and Karen can paint the same room in 5
hours. How long will it take to paint the room if they work together?
Answer:
3. 60/37 hours
4. 35/12 hours
Step-by-step explanation:
3.
Nicole: 1 room in 6 hours; in 1 hour: 1/6 room
Alexandra: 1 room in 5 hours; in 1 hour: 1/5 room
Liana: 1 room in 4 hours; in 1 hour: 1/4 room
Combined in 1 hour:
1/6 + 1/5 + 1/4
When they work together, they paint a room in x hours.
In 1 hour: 1/x room
1/6 + 1/5 + 1/4 = 1/x
10/60 + 12/60 + 15/60 = 1/x
37/60 = 1/x
x = 60/37
Answer: 60/37 hours
4.
Jake: 1 room in 7 hours; in 1 hour: 1/7 room
Karen: 1 room in 5 hours; in 1 hour: 1/5 room
Combined in 1 hour:
1/7 + 1/5
When they work together, they paint a room in x hours.
In 1 hour: 1/x room
1/7 + 1/5 = 1/x
5/35 + 7/35 = 1/x
12/35 = 1/x
x = 35/12
35/12 hours
Answer: 35/12 hours
A retailer buys pairs of shoes for $45.50 each. He marks up all his merchandise 25%. How much will he sell the shoes for? (Round to the nearest cent.) $36.40 $47.99 $56.87 $56.88
Answer:
56.88
Step-by-step explanation:
2 ways to do this
45.50 x 25% = 11.375
45.50 + 11.375 = 56.875
and that rounds to 56.88
for option 2 I recommend a calculater
45.50 + 25% = 56.875
56.88
How do I rewrite the expression x^3+10x^2+13x+30/x^2+x^2+2x+1
Answer:
A
Step-by-step explanation:
x²+2x+1)x³+10x²+13x+39 (x+8
- x³+2x²+x
+ - -
--------------------
8x²+12x+39
8x²+16x+ 8
- - -
____________
-4x+31
I NEED HELP PLEASE !!! :(
Answer:
11^5/3
Step-by-step explanation:
when you move the 5 over to the right, it always goes above the other exponent. if that makes sense? I use this shortcut.
another way of showing is:
[tex]x\frac{a}{b} = \sqrt[b]{x^a}[/tex]
Answer:
[tex]11^{\frac{3}{5} }[/tex]
Step-by-step explanation:
Proof:
The power of a fraction is:
[tex]x^{\frac{a}{b} } =\sqrt[b]{x^{a} }[/tex]
Find P (Junior|Girl) Hint: P(A and B)
P(B)
Classroom of Students
Boys Girls
Freshman
4 48
Sophomore S 17 12
Junior 2 3 5
Senior 4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Enter
1
====================================================
Explanation:
There are two methods to approach this type of problem.
-------------------------------------
Method 1
A = junior
B = girl
P(A) = probability of selecting a junior
P(B) = probability of selecting a girl
P(B) = (number of girls)/(number total)
P(B) = (4+7+3+4)/(4+4+5+7+2+3+1+4)
P(B) = 18/30
P(B) = 9/15
P(A and B) = probability of selecting a girl who is a junior
P(A and B) = (number of girl juniors)/(number total)
P(A and B) = 3/30
P(A and B) = 1/10
P(A given B) = P(A and B)/P(B)
P(A given B) = (1/10) divided by (9/15)
P(A given B) = (1/10) times (15/9)
P(A given B) = (1*15)/(10*9)
P(A given B) = 15/90
P(A given B) = 1/6
-------------------------------------
Method 2
This method doesn't involve dividing two fractions which could get messy, which is why I find this the easier route. Since we are given the person is a girl, this means we only need to focus on the "girls" column. There are 3 who are juniors out of 4+7+3+4 = 18 total. The probability of selecting a girl junior is 3/18 = 1/6
What is the probability of randomly picking a five-digit number whose leftmost digit is 1 and units digit is 9 from all the odd five-digit numbers that have different digits? 1/80 1/40 1/25 1/20 1/10
Answer:1/25
Step-by-step explanation: do 5 to the second power which will get all combinations then do 1 as the numerator over the denominator which is the number of combinations.
Why the correct answer of this question is 7 while I always find 3 as the minimum value instead of 7? The picture includes two different solutions.
Answer:
see below
Step-by-step explanation:
This solution is based off of the Triangle Inequality, which states that the sum of the two shortest sides of a triangle must be greater than the longest side of the triangle. The solution looks at the diagram on the bottom where y = DB. Looking at ΔABD, to find the range of values for y, we must consider two possible cases: y is either the shortest side or the longest side. If y is the shortest side then y + 5 > 6 which means y > 1 and if y is the longest side then 6 + 5 > y which means 11 > y. Therefore, the range of values for y is 1 < y < 11.
Next, they made y as small as possible, which would be 1.1 in this case. Looking at ΔDCB, again, to find the range of values for x, we must consider two possible cases: x is either one of the shortest sides or x is the longest side. If x is one of the shorter sides then 1.1 + x > 8 so x > 6.9 and if x is the longest side, 1.1 + 8 > x so 9.1 > x. Therefore, the range of values for x is 6.9 < x < 9.1. The smallest integer value that satisfies this inequality is x = 7.
The area of this rectangle is 5x squaredWhat does the coefficient 5 mean in terms
of the problem?
width x
length 5x
A. The total area of the square is 5.
B. The width is 5 times the length.
ОО
C. The length is 5.
D. The length is 5 times the width.
Answer:
D. The length is 5 times the width
because width is x
and the length is x x x x x
uhh pls help lol i’m confused
Answer:
50°
Step-by-step explanation:
angle ABE and angle CBD are vertical angles and has same measure so <ABE = 50°
If f(x) = 7x6cos-1x, find f '(x).
Answer:
F(x)=g'(x)h(X)+g(x)h'(x)
F(x)=90x9tan-1-[9*10/(1+x2)}
The derivative of f(x) is f'(x) = 42x⁵ * cos⁻¹(x) - 7x⁶ / (√(1 - x²))
To find the derivative of the function f(x) = 7x⁶ * cos⁻¹(x), we'll use the chain rule and the power rule of differentiation.
The chain rule states that if we have a function of the form f(g(x)), then its derivative is given by f'(g(x)) * g'(x).
Let's break down the function f(x) into two parts:
u(x) = 7x⁶
v(x) = cos⁻¹(x)
Now, we'll find the derivatives of u(x) and v(x):
u'(x) = d/dx (7x⁶) = 6 * 7x⁵ = 42x⁵
To find v'(x), we differentiate cos⁻¹(x) using the inverse trigonometric differentiation formula:
d/dx [cos⁻¹(x)] = -1 / (√(1 - x²))
Now, applying the chain rule to the function f(x) = 7x⁶ * cos⁻¹(x), we get:
f'(x) = u'(x) * v(x) + u(x) * v'(x)
f'(x) = 42x⁵ * cos⁻¹(x) + 7x⁶ * (-1 / (√(1 - x²)))
So, the derivative of f(x) is:
f'(x) = 42x⁵ * cos⁻¹(x) - 7x⁶ / (√(1 - x²))
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