Answer:
-1
Step-by-step explanation:
When you add a positive num to a negative number the negative number goes in the direction towards zero.
hope this helps you:)
Sydney needs 15 inches of string to make a necklace. If she has 9 feet of string, what is the maximum number of necklaces that she can make?
Answer:
7 necklaces
Step-by-step explanation:
108/15=7.2, to make a whole last necklace you round it to just 7
Answer:
7
Step-by-step explanation:
9x12= 108. 108 ÷ 15 = 7.2, which I rounded to 7.
What is the inverse of the function
Answer:
1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Switch x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
(x-1)/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
Answer:
[tex]\huge\boxed{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x+1[/tex]
Put f(x) = y
[tex]y = 2x + 1[/tex]
Interchange x and y
[tex]x = 2y+1[/tex]
Solve for y
[tex]x = 2y+1[/tex]
Subtracting 1 to both sides
[tex]x-1 = 2y[/tex]
Dividing both sides by 2
[tex]\frac{x-1}{2} = y \\\\ OR\\\\ y = \frac{x-1}{2}[/tex]
Put y = h(x)
[tex]\bold{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]
convert 22 Australian dollars to US dollars
Answer:
22 Australian dollars are 16.12 USD
what is the value of m (5m+100)
o is the value of m i think
In the drawing above two rugby players start 41 meters apart at rest. Player 1 accelerates at 2.2 m/s^2 and player 2 accelerates at 1.7 m/s^2. How much time elapses before the players collide?
Answer:
The time that elapses before the players collide is 4.59 secs
Step-by-step explanation:
The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.
We can write that
S₁ + S₂ = 41 m
Where S₁ is the distance covered by Player 1 before collision
and S₂ is the distance covered by Player 2 before collision
From one of the equations of kinematics for linear motion,
[tex]S = ut[/tex] + [tex]\frac{1}{2} at^{2}[/tex]
Where [tex]S[/tex] is distance
[tex]u[/tex] is the initial velocity
[tex]a[/tex] is acceleration
and [tex]t[/tex] is time
Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision
That is, t₁ = t₂ = t
Where t₁ is the time spent by player 1
and t₂ is the time spent by player 2
For player 1
[tex]S[/tex] = S₁
[tex]u[/tex] = 0 m/s ( The player starts at rest)
[tex]a[/tex] = 2.2 m/s²
Then,
S₁ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (2.2)t^{2}[/tex]
S₁ = [tex]1.1t^{2}[/tex]
[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]
For player 2
[tex]S[/tex] = S₂
[tex]u[/tex] = 0 m/s ( The player starts at rest)
[tex]a[/tex] = 1.7 m/s²
Then,
S₂ = [tex]0(t)[/tex] + [tex]\frac{1}{2} (1.7)t^{2}[/tex]
S₂ = [tex]0.85t^{2}[/tex]
[tex]t^{2} = \frac{S_{2} }{0.85}[/tex]
Since the time spent by both players is equal, We can write that
[tex]t^{2}[/tex] = [tex]t^{2}[/tex]
Then,
[tex]\frac{S_{1} }{1.1} = \frac{S_{2} }{0.85}[/tex]
[tex]0.85S_{1} = 1.1S_{2}[/tex]
From, S₁ + S₂ = 41 m
S₂ = 41 - S₁
Then,
[tex]0.85S_{1} = 1.1 ( 41 -S_{1} )[/tex]
[tex]0.85S_{1} = 45.1 - 1.1S_{1}[/tex]
[tex]0.85S_{1} + 1.1S_{1} = 45.1 \\1.95S_{1} = 45.1\\S_{1} = \frac{45.1}{1.95} \\S_{1} = 23.13 m[/tex]
This is the distance covered by the first player. We can then put this value into [tex]t^{2} = \frac{S_{1} }{1.1}[/tex] to determine how much time elapses before the players collide.
[tex]t^{2} = \frac{S_{1} }{1.1}[/tex]
[tex]t^{2} = \frac{23.13 }{1.1}[/tex]
[tex]t^{2} = 21.03\\t = \sqrt{21.03} \\t = 4.59 secs[/tex]
Hence, the time that elapses before the players collide is 4.59 secs
A parking attendant charges a different rate for cars than for trucks. It costs $10.75 to park 3 cars and 2 trucks. It costs $12.25 to park 7 cars and 1 truck. How much does it cost to park a single car? A single truck?
Answer:
$1.25 to park a car and $3.50 to park a truck
Step-by-step explanation:
Set up a system where c is the number of cars parked and t is the number of trucks:
3c + 2t = 10.75
7c + t = 12.25
Solve by elimination by multiplying the bottom equation by -2 to eliminate t:
3c + 2t = 10.75
-14c - 2t = -24.5
Add them together and solve for c:
-11c = -13.75
c = 1.25
Then, plug in 1.25 as c in the equation to solve for t:
3c + 2t = 10.75
3(1.25) + 2t = 10.75
3.75 + 2t = 10.75
2t = 7
t = 3.5
So, it costs $1.25 to park a car and it costs $3.50 to park a truck
1. Simplify. 4(2a - 1) - 4 + 7a
Answer:
=15a−8
Step-by-step explanation:
Let's simplify step-by-step.
4(2a−1)−4+7a
Distribute:
=(4)(2a)+(4)(−1)+−4+7a
=8a+−4+−4+7a
Combine Like Terms:
=8a+−4+−4+7a
=(8a+7a)+(−4+−4)
=15a+−8
Answer:
=15a−8
hope i helped
-lvr
Please Help ASAP Will give the brainiest answer
I'll give you the answers but make sure you know how to do these.
1) -32
2) -11
3) 77
4) -23
5) -1.3
6) -19.32
7) -10.4
8) 1.408
9) -1/4
10) 9/5
11) -1/6
12) -2 2/3
Hope this helps
I need helppppp it’s geometry
Answer: Corresponding Angles
Step-by-step explanation:
When two lines are crossed by another line (The Transversal), the angles in matching corners are called Corresponding Angles.
Yesterday, there were b milligrams of bacteria in a lab experiment. Today, there are b^2 milligrams of bacteria. If there are 400 milligrams today, how many milligrams of bacteria were there yesterday. a. 20 milligrams b. 200 milligrams c. 1,600 milligrams d. 160,000 milligrams Eva chose B as the correct answer. How did she get that answer. Show the correct answer
Answer:
A
Step-by-step explanation:
b^2 = 400
b = 20.............
A club has 20 members, 12 boys and 8 girls. The club needs to select a president, vice-president and secretary. They decide to select randomly. What is the probability that: a) The officers are all female? b) The officers are all male? c) At least one member from each gender is an officer?
Answer:
a)2/5
b)3/5
C) 1
Step-by-step explanation:
a-8/20=2/5
b-12/20-3/5
c-12+8=20/20=1
i am not that sure about c
hope this help
Marco's football team gained 13 yards on their first play, but lost 7 yards on the second. How many yards did they gain between the two plays?
Answer:
6
Step-by-step explanation:
thirteen minus seven equals six
Answer:
6
Step-by-step explanation:
13 minus 7 equals 6
hope this helped you
what is 135 square root in between on a number line?
Answer:
11.61
Step-by-step explanation:
It has to be between 11 and 12 and closer to twelve
Solve the equation for 'C' B + C = -D
Answer:
C = -D - B
Step-by-step explanation:
Step 1: Write out equation
B + C = -D
Step 2: Subtract B on both sides
C = -D - B
Jordan uses three lemons to make 1 pitcher of lemonade. He makes 4 pitchers. How many lemons does he use altogether? *What visual would you use to draw this story problem?
Answer:
The number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons
Step-by-step explanation:
The number of lemons the Jordan uses to make 1 pitcher of lemonade = three lemons
The number of pitcher lemonades Jordan makes = 4 pitcher of lemonades
The number of lemons Jordan uses altogether, is given by the following relation;
1 pitcher of lemonade = 3 lemons
4 pitcher of lemonades = 4 × 3 lemons = 12 lemons
Therefore, the number of lemons Jordan uses to make the 4 pitcher of lemonade is 12 lemons.
When introduced in 1997, a DVD player sold for about $500. Five years later, the average price was $155. Find and interpret the average rate of change in price per year.
Answer:
-69
Step-by-step explanation:
Use rise over run (change in y/change in x)
The change in y is -345, since that is how much the price decreased
The change in x is 5 years
-345/5
= -69
So, the average rate of change in price per year is -69
which statement is true about the function f(x) =√-x
If PR = 25 and PQ = 12, then QR=
Answer:
QR= 13
Step-by-step explanation:
the points on the line in order from left to right are P, Q, R, which means that the distance from P to R is the length of the line. So PQ is only about half the line. To solve this question you would subtract 12 from 25:
25-12=13
hope that helps. can i have brainliest?
Answer:
It depends on whether P lies on QR or not.
If not, we can't find the exact answer for this question.
If P does, there are 2 cases:
Case 1: P is between Q and R
so QR = PQ + PR = 12 + 25 = 37
Case 2: Q is between P and R (because PQ < PR so there is no likelihood for R to lie betweem P and Q)
so QR = PR - PQ = 25 - 12 = 13
The lifespan of a zebra is 15 years. The lifespan of a black bear is 3 years longer than the lifespan of a zebra. Write an addition equation that you could use to find the lifespan of a bear.
Answer:
15+3=18 years
Step-by-step explanation:
Since the black bear lives 3 years longer than the zebra, all it really means is 3 additonial year so you add 3 on to the 15.
2(3x–1)=9(x–2)–7 simplify plz help
Hi
2(3x-1) = 9(x-2)-7
6x-2 = 9x-18-7
6x-9x = 2-18-7
-3x = -23
x = 23/3
A species of fish was added to a lake. The population size Pt of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t) = 1000+(12e^−0.34t)where t is the number of years from the time the species was added to the lake.
Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary.
Answer:
1,012 ; 1,001
Step-by-step explanation:
Given the population function :
P(t) = 1000+(12e^−0.34t)
where t is the number of years from the time the species was added to the lake.
Initial population size of the species ; that is the population at year 0
At time, t = 0
P(0) = 1000+(12e^−0.34(0))
= 1000 + (12e^0)
= 1000 + 12(1)
= 1012
Initial population = 1,012
Population after 9 years :
P(9) = 1000+(12e^−0.34(9))
= 1000 + (12e^-3. 06)
= 1000 + (12×0.0468876)
= 1000 + ( 0.5626523)
= 1000.5626
= 1001 ( nearest whole number)
Mike can read 15 pages of a book in 24 minutes.
At this rate, how many minutes will it take Mike
to read 45 pages of the book?
Previous
Next
36
54
72
84
10, 14, 25, 25, 27, 31, 36, 38, 41, 53
What is the median number of t-shirts sold?
Answer:
The median number of shirts sold is 29
Step-by-step explanation:
Order the number from least to greatest (in this case they already are), then take the middle number or the two middle number if you have to numbers in the middle. If you have to numbers in the middle add them and the divide by 2.
27+31=58
58÷2=29
Answer:29
Step-by-step explanation:
First find the two middle numbers in this case 27 and 31 add them together and divide by 2
Which Set Of Numbers Does √35 Belong?
Answer:
rational
Step-by-step explanation:
5.6 as a fraction show all work
Answer:
5 6/10
Step-by-step explanation:
I can't really write a fraction but it would be 5 the 6 over 10. Hope this helps!
Solve for all values of x in simplest form.
(10 – 4x) – 2 = 9
12-4= +2
second Grade math help pls
Answer:
6
Step-by-step explanation:
Step 1:
12 - 4 = x + 2
Step 2:
8 = x + 2
Step 3:
8 - 2 = x
Answer:
x = 6
Hope This Helps :)
Sean says that to add a number to -100 and still have -100 is to add a zero.Candice says that she can add 2 numbers to -100 and still have -100. Who is correct and why?
Answer:
Sean because zero added to anything is the same answer.
Step-by-step explanation:
The consumer price index is
___
Answer:
the consumer price index measures changes in the price level of a (weighted) average market basket of consumer goods and services.
What is the order for the set of daga
Answer:
the last answer number 3