Answer:
77.14 minutes.
Step-by-step explanation:
Jack's time = 3 hours
Jill's time = 2.25 hours = 2 1/4 = 9/4 hours
Combined time = x
Rates :
Jack = 1/3 ; jill = 1 / 2.25 = 1 / 9/4 = 4 /9
Combined rate = 1/x
Setting up the equation :
1/3 + 4/9 = 1/x
Lcm of 3 and 9 = 9
(3 + 4) / 9 = 1/x
7/9 = 1/x
Cross multiply :
7x = 9
x = 9/7 hours
x = (9/7)* 60
x = 77.14 minutes
Combined time = 77.14 minutes.
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
A 36-foot-tall tree that is leaning toward the sun casts a 40-foot-long shadow when the sun is at a
41° angle of elevation. Approximately how many degrees does the tree lean?
a. 1°
c. 4°
b. 2°
d. 7°
Answer:
64degrees
Step-by-step explanation:
Give the following
Height of tree H = 36feet
length of the shadow L = 40feeet
Requires
Angle of eleation
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin theta = H/L
Sin theta = 36/40
SIn theta = 0.9
theta = arcsin0.9
theta = 64.16
Hence the required angle is 64degrees
Which number is NOT classified as an integer ? a) -4 b) -1.5 c) 0 d ) 5
Answer:
b)-1.5
Step-by-step explanation:
Find the Key words in the word problem
Define the Variable -
Write an expression
An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.
Giving Out Brainliest
Please answer this question Right away
I don't want the answer On a link and don't type anything random
Answer:
An artist charges $5 for each person in a cartoon drawing. Write an algebraic expression for the cost in dollars for a drawing that includes P people.
Step-by-step explanation:
IF YOU HELP ME ILL give U 2$ AFTER UR DONE
Triangle ABC is defined by the points A(-2, 4), B(6,2), and C(1,-1). Using what you know about the distance formula, what type of triangle would ABC be?
Answer:
LOL i dont need money jus mark me brainliest :P
Step-by-step explanation:
[tex]distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]AB = \sqrt{(6--2)^2 + (2-4)^2} = \sqrt{8^2 + 2^2} = \sqrt{68}\\\\BC = \sqrt{(1-6)^2 + (-1-2)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}\\\\AC= \sqrt{(1--2)^2 + (-1-4)^2}} = \sqrt{3^2 + 5^2 } = \sqrt{34}[/tex]
[tex]Clearly, this\ satisfies \ the\ Pythagoras\ theorem : AC^2 = AB^2 + BC^2[/tex]
[tex](\sqrt{68})^2 = (\sqrt{34} )^2 + (\sqrt{34} )^2\\\\68 = 34 + 34 \\68 = 68\\Hence\ satisfies .[/tex]
Therefore, the triangle ABC is a right angle triangle.
The diameter of a circle is 2 meters. What is the circles circumftance
Answer:
2π or 6.284 meters
Step-by-step explanation:
Circumference = πd
= 2π
A tortoise and hare are competing in a race. The function f and g are such that f(t) represents the tortoise's distance from the finish line (in meters) t seconds after the start of the race and g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
If we want to compute the number of seconds needed for the hare to finish the race, which of the following procedures should be used?
A. Solve g(t)=0 for the value of t.
B. Solve g(t)=1000 for the value of t.
C. Evaluate g(0).
D. Solve f(t)=g(t) for the value of t.
E. Evaluate g(1000).
Answer:
g(t) = 0; solve for t
Step-by-step explanation:
Given
Options (a) to (e)
Required
Which of the options is true
From the question, we understand that: g(t) represents hare's time to complete the race
At the beginning of the race, the time left to complete the race is at g(t) = 0; then solve for t.
Take for instance:
[tex]g(t) = 10 - t[/tex]
The time to complete the race is: g(t) = 0
So, we have:
[tex]0 = 10 - t[/tex]
Collect like terms
[tex]t = 10[/tex]
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Linear equation
Linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).
Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.
To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.
Find out more on Linear equation at: https://brainly.com/question/13763238
-4 (3+8h) =30 round to nearest hundredth
Answer
-1.31 if its getting rounded to nearest number.
The fraction will be -21/16
Dean Kuroff started a business of rehabbing old homes. He recently purchased a circa-1800 Victorian mansion and converted it into a three-family residence. Yesterday, one of his tenants complained that the refrigerator was not working properly. Dean’s cash flow is not extensive, so he was not excited about purchasing a new refrigerator. He is considering two other options: purchase a used refrigerator or repair the current unit. He can purchase a new one for $600, and it will easily last three years. If he repairs the current one, he estimates a repair cost of $150, but he also believes that there is only a 25% chance that it will last a full three years and he will end up purchasing a new one anyway. If he buys a used refrigerator for $200, he estimates that there is a 0.4 probability that it will last at least three years. If it breaks down, he will still have the option of repairing it for $150 or buying a new one. Develop a decision tree for this situation and determine Dean’s optimal strategy.
Answer:
The decision tree is a explained as follows
Step-by-step explanation:
Currently two options are available
Purchase a new refrigerator for $600.Repair this refrigerator for $150, There is only 25% chance that the refrigerator will work for the next three years. $37.5 ($150 * 0.25) There is 75% chance that the refrigerator will need to be purchased a new refrigerator for $600. $450 ($600 * 75%)3. If he buys a used refrigerator for $200 there is 40% chance that it will work for next three years. $80 ($200 * 40%)
But there is 60% chance that the refrigerator will not work and he willa. Repair the refrigerator for $150. $90 ($150 * 60%)
b. Buy a new refrigerator for $600. $360 ($600 * 60%)
brainliest and many poitns FAST
Answer:
you're answer is, 22
Answer:
Solution given;
[tex]11 \div \frac{1 }{2} = \frac{11}{ \frac{1}{2} } = 11 \times 2 = 22[/tex]
22 is a required answer:.
Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40
Complete question is;
Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them?
A) 12x
B) 12x² + 40
C) 12x + 40
D) 8x + 40
Answer:
C: 12x + 40
Step-by-step explanation:
We are told that the Cost to rent tables from Company A is;
f(x) = 4x + 25
Also, we are told that the Cost to rent tables from Company B is;
g(x) = 2(4x) + 15
Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;
Total = f(x) + g(x)
Total = 4x + 25 + 2(4x) + 15
Total = 4x + 25 + 8x + 15
Total = 12x + 40
The half-life of Iodine-131 is approximately 8 days. Find the amount of Iodine-131 left from a 42 gram sample after 16 days.
1) 0.0006 grams
2) 21 grams
3) 10.5 grams
4) 34 grams
Answer:
Step-by-step explanation:
The formula for this is
[tex]N=N_0(.5)^{\frac{t}{H}[/tex] where
N is the amount of the element left after a certain amount of time (for us it is measured in days),
N₀ is the initial amount of the element in grams,
t is the number of days gone by, and
H is the half life of the element. Filling in:
[tex]N=42(.5)^{\frac{16}{8}[/tex] which simplifies a bit to
[tex]N=42(.5)^2[/tex] and a bit more to
N = 42(.25) which gives us a remaining amount of
N = 10.5
PLEASE HELP QUICK!!!
COMPOUND INTEREST!!!
$600 is deposited in an account that pays 7% annual interest, compounded continuously. What is the balance after 5 years?
9514 1404 393
Answer:
$851.44
Step-by-step explanation:
The balance is given by the formula ...
A = Pe^(rt) . . . . principal P, interest rate r, t years
Using the given numbers, we find the balance to be ...
A = $600·e^(0.07·5) ≈ $851.44
In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?
Answer:
80/39
Step-by-step explanation:
what is the solution set for this inequalty? -8x + 40> -16
Answer:
x < 7
Step-by-step explanation:
-8x + 40> -16
Subtract 40 from each side
-8x + 40-40> -16-40
-8x >-56
Divide each side by -8, remembering to flip the inequality
-8x/-8 < -56/-8
x < 7
The volume of a cube with sides 3xy^2
Answer:
27(x^3)(y^6)
Step-by-step explanation:
the steps are in the pic above
Solve the inequality: a - 4 <10
Α. α >14
B. a < 14
C. a <-14
D. a > 6
E. a<6
HELP!!
==================================================
Explanation:
Add 4 to both sides
a-4 < 10
a-4+4 < 10+4
a < 14
The reason why we add 4 to both sides is to undo the "minus 4" that's happening to the variable.
Which graph is a function of x?
Answer:
A vertical line through the origin
Step-by-step explanation:
if no digit appears more than once how mang 2-digit numbers can be formed from the digits 1,3,5, and 7?
Answer:
12
Step-by-step explanation:
You can choose the first digit 4 ways.
After that and since we want no repeats, we can choose the third digit 3 ways.
4 times 3 =12
Answer:
12 Mark me as brainliest!!
Step-by-step explanation:
how many 2-digit can be formed from the digits...
Combine all the digits without repeating
13, 15, 17
31, 35, 37
51, 53, 57,
71, 73, 75
12 digits
If a survey is selected at random, what is the probability that the student is a girl who chose apple as her favorite fruit
Answer:
0.15
Step-by-step explanation:
Total number of students surveyed = 300
From the table,
(Girl n apple) = 46
P(girl n apple) = 46 / 300 = 0.153
the circle below is centered at (-1,1) and has a radius of 3. what is its equation?
Answer:
[tex](x+1)^2 + (y-1)^2 = 9\\\\or\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]
Step-by-step explanation:
[tex](x +1 )^2 + (y -1)^2 = 3^2\\\\x^2 +2x +1 + y^2 + 1 -2y = 9\\\\x^2 + y^2 +2x -2y +2 -9 = 0\\\\x^2 + y^2 +2x -2y -7 = 0[/tex]
Here is a system of equations. Is (1,3) a solution to this system of equations? Explain how determined your answer. Show your work!
4x + 5y = 19
x + 5y = 16
If a^b = 1, what is the value of 'b'?
Answer:
Step-by-step explanation:
the value of b is 0.
the base with the power 0 is always 1
Solve for y: 3y - x = a
What do the value of
(5 1/3)^3
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....the parabola y=-x^2+12x-11 has an axis of symmetry of x=6. which of the following represents its range?
1) y>-11
2)y<25
3)y<6
4)y>10
(all of the ">/<" are underlined ones)
Answer: 1) y>-11
Step-by-step explanation:
i will mark u brainliest if u answer this
Select all that are true for Triangle PQR
In other words, only choice A and choice D are false.
====================================================
Explanation:
An included angle is one between two given sides. Think of the angle sandwiched in between.
For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.
In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.
------------------------
For choices D through F, we'll just take this logic in reverse.
The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.
Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.
------------------------
Overall, we have four true statements and they are choices B, C, E and F.
Help!!!!!!Solve for X. Round to the nearest tenth of a degree, if necessary.
for what value of x is the equation 2x-3 over -3+4 =3 true
Answer:5
Step-by-step explanation:
......