Answer:
x = 5/2 km/h
Step-by-step explanation:
Lets x be the speed of the current
The sea lion's speed with the current: 15 + x
The sea lion's speed against the current: 15 - x
Total distance in km with the current: 35
Total distance in km against the current: 25
Time with the current: 35/(15 + x)
Time against the current: 25/(15 - x)
So we do...
35/(15 + x) - 25/(15 - x) = 0
35(15 - x)/(15 + x) - 25(15 + x)/(15 - x): Having common denominators which is (15 + x)(15 - x)
525 - 35x - 375 - 25x = 0: Mutipling the (15 + x)(15 - x)to 0 getting 0
150 - 60x = 0
30(5 - 2x) = 0
x = 5/2
The speed of the current is 2.5 km/hr
Speed and DistancesFrom the given information
Lets x be the speed of the current
The sea lion's speed with the current will be 15 + xThe sea lion's speed against the current will be 15 - xAlso, we have that;
Total distance in km with the current to be 35 while the total distance in km against the current is 25
mathematically;
Time with the current = 35/(15 + x)
Time against the current = 25/(15 - x)
Equating both expression to get the value of "x
35/(15 + x) = 25/(15 - x) = 0
35/(15 + x) - 25/(15 - x) = 0
35(15 - x)/(15 + x) - 25(15 + x)/(15 - x)
Mutiplying the (15 + x)(15 - x)to have:
150 - 60x = 0
30(5 - 2x) = 0
x = 5/2
x = 2.5
Hence the speed of the current is 2.5 km/hr
Learn more on speed and distance here: https://brainly.com/question/4931057
HELPPP PLEASE OMGGG!!!
Answer:
Step-by-step explanation:
Has to be D Square root is always bigger.
7. -3.5, 5, 0.6,-0.2
Witch one is least to greatest
Answer:
-3.5,-0.2,0.6,5 ... is the answer
I really really need help with this! I will give brainliest! It is a 3 part question, but i really need help with it.
The graphs of y=p(x) and y=q(x) are shown. The graph of y=q(x) is a transformation of the graph of y=p(x).
a. Write a formula for the function p.
b. Describe how the graph of y=q(x) can be obtained from the graph of y=p(x).
c. Write a formula for the function q.
Answer:
Step-by-step explanation:
The function p is an absolute value equation p(x)=|x| or it could be described as the sqare root of x squared.
q(x) could be the negative of p(x) raised by two units
q(x)=-|x|+2
6x +2(5x - 6) *
Your answer
What would the economic situation of the country be if its income from overseas is more than its expenses?
A.
GNP would be higher than GDP
B.
GDP would be higher than GNP
C.
no effect on GNP or GDP
D.
GDP and GNP would be the same
Answer:
gnp would be higher than gdp
what is the value of x if 2x-41=13
Answer:
x = 27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
2x - 41 = 13
Step 2: Solve for x
[Addition Property of Equality] Add 41 on both sides: 2x = 54[Division Property of Equality] Divide 2 on both sides: x = 27Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(27) - 41 = 13Multiply: 54 - 41 = 13Subtract: 13 = 13Here we see that 13 does indeed equal 13.
∴ x = 27 is the solution to the equation.
uhhhhh why does my bottle thats called shampoo taste like soap and its fluffy it says cucumber edition i wanted to taste it but it tastes nothing like cucumber and it makes me gassy please help and explain how to stop this?????????
Answer:
Are we stopping the problem of it not tasting like cucumber or the problem that you're eating it...?
Step-by-step explanation:
Option 1: Easy Fix! Get real cucumbers and crush them into your bottle so the next time you go to eat it you will have organic, real cucumber tasting soap.
Option2: Drink it instead.
Hope I helped! :)
How many 3/8 are in 8?
Answer: 8 times
Step-by-step explanation: 3 divided by 3/8.
3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3
have a good day
A ball is dropped on the tiles to the right. what are the chances that it would land on a shaded tile?
Answer:
1/3
Step-by-step explanation:
So, we know that the ball is landing on the right side. and on the right side only 1 block is shaded, out of 3 blocks. making the answer 1/3, i hope this helped! If not, put a comment asking to clarify and i will try to help out more
PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: If I had to guess it would be the fourth one down
You go to the mall to buy a pair of shoes. The shoes are $45.00 and you have to add on 6% sales tax. How much is the total that you will pay?
Answer:
$47.70
Step-by-step explanation:
45 increase 6% =
45 × (1 + 6%) = 45 × (1 + 0.06) = 47.7
A school fundraiser needs to raise a total of $1000. The students are selling artwork for $25 a piece. They have already raised $300 toward their goal. Write and solve an equation to represent this situation
find the percent change from $20 to $25
Answer:
20%decrease
Step-by-step explanation:
sorry I'm bad at explaining things
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 5 gallons per minute (gpm). In an initial study, eight runs were made. The average flow rate was 6.5 gpm and the standard deviation was 1.9 gpm. If the mean flow rate is found to meet the specification, the pump will be put into service. What is the P-value
Answer:
from the t-distribution table, at df = 7 and t = 2.23
Lies p-values [ 0.05 and 0.025 ]
Hence;
0.025 < p-value < 0.05
Step-by-step explanation:
Given that;
[tex]x^{bar}[/tex] = 6.5 gpm
μ = 5 gpm
n = eight runs = 8
standard deviation σ = 1.9 gpm
Test statistics;
t = ([tex]x^{bar}[/tex] - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]
we substitute
t = (6.5 - 5) / [tex]\frac{1.9}{\sqrt{8} }[/tex]
t = 1.5 / 0.67175
t = 2.23
the degree of freedom df = n-1 = 8 - 1
df = 7
Now, from the t-distribution table, at df = 7 and t = 2.23
Lies p-values [ 0.05 and 0.025 ]
Hence;
0.025 < p-value < 0.05
which criteria are responsible for deciding whether a heterogeneous mixture Is a colloid or a suspension?
O A. whether Its composition Is uniform and transparent
O B. whether the particles remaln suspended for an extended period of time
O C. whether It can be separated into simpler substances through physical separation techniques
• D. whether the ratio of components is fixed Is
Answer:
A
Step-by-step explanation:
Hope this helped! Please let me know if I'm wrong!
The correct answer is whether it can be separated into simpler substances through physical separation techniques.
what is m CDJ?
please help me I'm super confused.
Answer:
34 degrees.
Step-by-step explanation:
Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.
Drop the parentheses and get 7x - 8 = 90.
Add 8 to both sides 7x = 98.
Divide both sides by 7, x = 14.
Plug that x value into (3x-8), [3(14)-8] = 34 degrees.
Answer:
34 degrees
Step-by-step explanation:
So, because mJDK and mJDA lie on a line, they must be supplementary, and since mJDK is 90 degrees, mJDA must be too. So, you know that the combination of mADC and mCDJ must be 90 degrees. 4x+3x-8=90 simplified is 7x=98, which says that x is equal to 14. So you plug in the values for 3x-8, and voila! mCDJ is 34!
Using SOLVE, determine the number of marbles that are in a large cylindrical flask as depicted in the handout from Lesson 1. Solve by hand (or electronically) and clearly outline your individual steps. (Sketch, Organized Variables, List Egns, Vary eqns, Evaluate). Embed a photo of your work below. Click the linke, for instructions to embed. Use the following variables for your evaluate step and stay in Sl units. Diameter of Marble - 13 mm Diameter of Flask - 25 cm Height of Flask (to level of marbles) - 40 cm FYI: 10 mm -1 cm
Given :
Diameter of the flask = 25 cm
radius, r = [tex]$\frac{25}{2}$[/tex] cm
Height of the flask, h = 40 cm
We have to find out the volume of the cylinder flask
Volume [tex]$= \pi r^2h$[/tex]
[tex]$= 3.14 \times (\frac{25}{2})^2 \times 40$[/tex]
= [tex]$19634.95 \ cm^3$[/tex]
= [tex]$19635 \ cm^3$[/tex]
Now calculate the volume of the marble
Given :
Diameter = 13 mm
radius, R [tex]$=\frac{13}{2} \ mm$[/tex]
Therefore, volume of the marble [tex]$=\frac{4}{3}\pi R^3$[/tex]
[tex]$=\frac{4}{3}\times 3.14 \times (\frac{13}{2})^3$[/tex]
[tex]$= 1150.35 \ mm^3$[/tex]
or [tex]$= 115.035 \ cm^3$[/tex]
Therefore, the number of the marbles [tex]$=\frac{\text{volume of flask}}{\text{volume of marble}}$[/tex]
[tex]$=\frac{19635}{115.035}$[/tex]
= 170.68
Therefore, the number of the marbles used is approximately 170.
I WILL MARK BRAINLIEST HELP
Answer:
Option 3 and 5
Step-by-step explanation:
The points (–5, 6) and (5, 6) are vertices of a hexagon. The line segment joining the two points forms one of the sides of the hexagon. Which statement explains the segment formed by these endpoints?
Answer:
The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.
Look at the point's x and y coordinates:
First point:
x = -5, y = 6
Second point:
x = 5, y = 6
You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.
To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:
5 - (-5) = 5 + 5 = 10
The answer will be the following statement:
Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.
Step-by-step explanation:
Answer:
Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.
Step-by-step explanation:
Can someone please help me out?
Answer:wit wat?
Step-by-step explanation:
Answer:
63%
Step-by-step explanation:
You would have to set up a proportion.
so 504 of 800 = x of 100 is what you are trying to figure out.
504 x
____ = ____
800 100
To solve this logically, to get from 800 to 100 you need to divide by 8, so in order to keep with the proportion you would also have to divide 504 by 8, which results in x being 63. (Or 63%)
Shortcut: The shortcut I use when the numbers are a bit harder to work with is the cross multiply and then divide method. First you multiply the numbers that are diagonal from each other, in this case those numbers would be 504 and 100 which would result as 50,400. Then you would divide by the remaining number (800). With this method you would also arrive at x = 63. This method is just a bit quicker when it come to bigger numbers in my opinion.
Carlos drew a rectangle that
had a length of 9 inches and a
width of 4 inches.
Find the Area:
Find the Perimeter:
Find the Product.
Answer:
Area: 36 inches
Perimeter: 26 inches
Step-by-step explanation:
:)
Answer:
the area is 36 inches
the perimeter is 26 inches
the product is 132
Step-by-step explanation:
Area is length times width so.....
9×4=36
Perimeter is the distance around the shape 9+9+4+4=26
Product means to times so 80×52=132
Problem 3) A, B, and C are evenly matched tennis players. Initially A and B play a set and the winner then plays C. This continues, with the winner always playing the waiting player, until one of the players has won two sets in a row. That player is then declared the overall winner. Find the probability that A is the overall winner.
Answer:
the probability that A is the overall winner is 5/14 or 0.35714
Step-by-step explanation:
Given the data in the question;
probability that A is the overall winner P[A is the overall winner]
⇒ [tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex] [tex]P_{A}[/tex] + ................
= [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex] + ........
P(A) = [tex]\frac{1}{2}[/tex] = [tex]P_{B}[/tex] = [tex]P_{C}[/tex] ∴{ they are evenly matched player}
so P(A is overall winner) will be;
= ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁵ + ([tex]\frac{1}{2}[/tex])⁸ + ..........+ ([tex]\frac{1}{2}[/tex])⁴ + ([tex]\frac{1}{2}[/tex])⁷ + ([tex]\frac{1}{2}[/tex])¹⁰ + .............
= ([tex]\frac{1}{2}[/tex])² [1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........] + ([tex]\frac{1}{2}[/tex])⁴[1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........]
= [ ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁴ ] [ 1 / 1 - ([tex]\frac{1}{2}[/tex])³ ]
= [ ([tex]\frac{1}{4}[/tex]) + ([tex]\frac{1}{16}[/tex]) ] [ [tex]\frac{8}{7}[/tex] ]
= [tex]\frac{5}{16}[/tex] × [tex]\frac{8}{7}[/tex]
= 5/14 or 0.35714
Therefore, the probability that A is the overall winner is 5/14 or 0.35714
The probability that A is the overall winner is; 5/14
Let P be the chance that a player will win the tournament when he gets a new opportunity to play against the victor of the previous game.Now, if the player loses, then it means that two games in a row are won by the same player, and then the tournament will be over. Thus; [tex]P_{L}[/tex] = 0
However, If the player wins first, and then loses his next game, it means that such a player will have to hope for a new opportunity. What this implies is that the player to whom he lost to will not win the next game. The probability of this happening is; [tex]P_{WLX}[/tex] = ¹/₂ × ¹/₂ × ¹/₂;[tex]P_{WLX}[/tex] = ¹/₈
Furthermore from that above, he will have another chance to win twice in a row which gives a probability in form of a geometric series as;
¹/₄ + (¹/₄ × ¹/₈ ) + (¹/₄ × ¹/₈² ) + (¹/₄ × ¹/₈³ ) + ........
Now, for that series, as n approaches infinity, the sum of the series would give us;
∑ = ¹/₄(1/(1 - ¹/₈ ))
⇒ ¹/₄(⁸/₇)
⇒ ²/₇
Since player C's first game would already be against another game's winner, then it means that P is also the chance player C will win the tournament but the probability that player A will win is same as probability that player B will win which is;
[1 - (²/₇)]/2
⇒ ⁵/₇ × ¹/₂
P(A) = P(B) = ⁵/₁₄
Read more on probability at; https://brainly.com/question/24855677
A new sports equipment company, Sports EQUIP, sold 2,835 helmets in their second year
of operation. This is 225% of the number of helmets they sold in their first year. Another
sports equipment company, Sports Inc., sold 446 helmets in their second year of
operation. This is 35% of the number of helmets they sold in their first year. Which
company sold more helmets in their first year?
Answer:
sports Inc sold more helmets
Which of the following is not a desired characteristic of a ‘model?’
a. Correspondence (with real-world phenomenon being modeled).
b. Abstraction (inclusion of fewer features than the real-world phenomenon being modeled).
c. Simplification (i.e., simpler than real-world phenomenon being modeled).
d. Complexity (i.e., more complex than real-world phenomenon being modeled)
Answer:
Step-by-step explanation:
D.. Complexity (i.e., more complex than real-world phenomenon being modeled
~!!!!! LEASE HELP ME IN IN 7TH GRADE LEARNING 9TH AND 8TH !!!!!!~
Answer:
15 dollers per hour
Step-by-step explanation:
HOPE THIS HELPS!
BRAINLIST?????
Answer:
The fixed cost is 15 dollars an hour.
Step-by-step explanation:
At zero hours it is 15 dollars so y=5x+15
After each hour the price goes up by 5 dollars so it is 5 dollars an hour.
two families that live 270 mi apart plan to meet at a park located between their two homes.both leave at 9:00 am but one family averages 12 mph faster than the other family.
if the families meet at the designated spot 2 and half hours later, determine the average rate of speed for each family
Answer:
Family 1 average rate of speed was 66 miles per hour, while Family 2 average rate of speed was 54 miles per hour.
Step-by-step explanation:
Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:
Family 1: ((270/2) + (12 x 2.5)) / 2.5
Family 1: (135 + 30) / 2.5
Family 1: 165 / 2.5
Family 1: 66 miles per hour
Family 2: (270/2) / 2.5
Family 2: 135 / 2.5
Family 2: 54 miles per hour
In this exercise we have to use the knowledge of speed to calculate the speed each family achieves, thus we find that:
Family 1 the average rate of speed for each family is 66 miles per hour.Family 2 the average rate of speed for each family is 54 miles per hour
Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:
So looking at family 1 we found that:
[tex]F_1:\frac{ ((\frac{270}{2.5})+(12*2.5))}{2.5} \\F_1: \frac{(135 + 30)}{2.5}\\F_1: \frac{165}{2.5}\\F_1: 66 \ miles \ per \ hour[/tex]
So looking at family 2 we found that:
[tex]F_2: \frac{(\frac{270}{2})}{2.5}\\F_2: \frac{135}{2.5}\\F_2: 54 \ miles \ per \ hour[/tex]
See more about speed at brainly.com/question/7359669
Joanna earned $120 last week at her job. This is 1/4 of the amount that she earned for the month. What is the equation and the answer.
Answer:
120 x 4 = 480
Step-by-step explanation:
The equation would be 120 x 4 because it's 1/4 out of the whole sum. So 120 x 4 = 480.
A car originally priced at 58,900 is on sale at 15% off if the sales tax rate is 8.29%, what is the sale price of the can
Answer:
Your answer is 54,215( About)
Hope that this is helpful. Tap the crown button, Like & Follow me
When all the kids who tried out for the Little league were divided into teams of 16 players, there were exactly 8 teams. How many kids tried out?
Answer:
128
Step-by-step explanation:
16 x 8 = 128
Answer:
128
Step-by-step explanation:
you multiply 16 and 8 because each team has 16 and there are 8 teams so, 16×8=128
find x for this problem please!
Answer:
3 rigth? welp hope its right