Answer:
heres what i did on the 2.1.4 practice problem on apex
Step-by-step explanation:
1. Circle the two boats you picked for your trip.
the yacht and the tall ship (aka the pirate ship)
2. Make sense of the problem.
what do you know?
The tall ship makes the trip in 10 hours. The yacht makes the trip in 2.5 hours. The tall ship is 30 knots slower than the yacht.
what do you want to find out?
How fast is each boat traveling in knots (nautical miles per hour)?
what kind of answer do you expect?
probably just some numbers like 10 miles per hour or 40 miles per hour
Writing some expressions
3. Write an expression for the distance going to the island. Let x be the speed of the boat you are taking to the island. Distance is equal to speed times time. (2 points)
the expression would be D = 10(x-30), d is the distance. it could also be simplified to 10x - 300
4. Write an expression for the speed of the boat coming back from the island in terms of the other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)
so the yacht's speed would be S = x knots, s is for speed.
5. Write an expression for the distance returning from the island. Use the expression for speed you found in question 4. Remember that distance is equal to speed times time. (2 points)
the distance returning from the island would be D = 2.5x.
6. Each ship travels the same distance. Set the distances equal to each other to get the equation for the speed of the ship you are taking to the island. (1 point)
10x - 300 = 2.5x
7. Solve the equation from question 6 for x. What does this tell you? (5 points: 1 point for showing your work, 3 points for solving for x, 1 point for explaining the answer)
10x - 300 = 2.5x
10x - 300 + 300 = 2.5x + 300
10x -2.5x = 300
7.5x = 300
x = 40
x is the speed of the yacht. (40 nautical miles per hour)
8. How fast does the second boat travel? Show your work. (2 points: 1 point for showing your work, 1 point for the answer)
the yacht travels at 40 nautical miles per hour and the tall ship travels at 100 (10x - 300) nautical miles per hour.
9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle.
Find the speed for the kayak. Use one of these facts to help.
The steamboat's speed is 4 less than 8 times the speed of the kayak.
The tall ship's speed is 1 more than 3 times the speed of the kayak.
The yacht's speed is 5 less than 15 times the speed of the kayak.
Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)
the equation for the speed of the kayak is 40 = 15x - 5, which in this case, x is the speed of the kayak
40 = 15x - 5
40 + 5 = 15x -5 + 5
45 = 15x
x = 3
therefore, the speed of the kayak is 3 nautical miles per hour.
10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef.
It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then?
If so, how long will you have to spend at the reef?
If not, how late will you be for the return trip?
Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)
the distance to the island is 100 nautical miles, so the expression would be 100 = 20x -40, with x being the distance to the reef.
we can solve for x by doing:
100 = 20x -40
100 + 40 = 20x - 40 + 40
140 = 20x
140 / 20 = x
x = 7
so the distance from my starting point to the reef will be 7 nautical miles, and the distance from the island to the reef would be 93 nautical miles.in that case, I would be like a day and a half late, but if you are trying to say that the ship is waiting for me at the starting point of my "adventure", then I would not be late if I kayak from my starting point to the reef, in fact, I could stay at the reef for like 50 min, because:
7 / 3 = 2 1/3 hours.
2 1/3 x 2 = 4 2/3 hours or 280 min. (to the reef and back)
7:30 p.m. - 2:00 p.m. = 5 1/2 hours or 330 min. (how much time I have till the ship leaves)
330 - 280 = 50 min. (how many min I can spend at the reef)
(a) Reuben runs 12 miles in 96 minutes.
How many miles does he run per minute?
miles per minutes?
Answer:
0.125 miles per minute
Which statement is true about this equation? y=-3x^2+4x-11 A. It represents a function only. B. It represents both a relation and a function. C. It represents a relation only. D. It represents neither a relation nor a function.
Answer:
For plato users, the answer would be letter C.
Step-by-step explanation:
A.
It represents neither a relation nor a function.
B.
It represents a relation only.
C.
It represents both a relation and a function.
D.
It represents a function only.
This equation represents both a relation and a function.
Took the test, hope this helps!
B. It represents both a relation and a function.
Is every relation also a function?Note that both functions and relations are defined as sets of lists. In fact, every function is a relation. However, not every relationship is a function. In a function, there cannot be two lists that disagree on only the last element.
Which graph of a relation is also a function?Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function. This is a function. Any vertical line will cross this graph at only one point.
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I got this question wrong. So the 50% is not right. Please help.
Answer:
25%
Step-by-step explanation:
sorry if its wrong but im pretty sure its 25%
the answer is 3/8
give me a brainliest
HELP! Due in 10 mins! Pls I rlly need this!!!
Steve is recording the temperature of an object on Celsius and Fahrenheit scales. Relationship between the two scales is given by F = 1.8 ⋅ C. Steve will plot the Celsius readings along the y-axis and the Fahrenheit readings along the x-axis.
True or false?
Answer: FALSE
Step-by-step explanation:
Daniella is celebrating her birthday by inviting her friends to the movies. At the early show, she can buy tickets
for $5 each and she plans on spending $20 on snacks. If y is the total cost she will spend, write an equation that
matches this situation.
Answer:
y=5x+20
Step-by-step explanation:
Find the values of x is 1/x + 1/x+2 undefined?
Answer: if x = O in the denominator of the first term or if x = -2 in the second term, the results are undefined.
Step-by-step explanation: If the denominator of a fraction is 0 there is no number that solves it because it is impossible to divide by zero.
Solve for E.
h=E/mg
Answer:
hmg = E
Step-by-step explanation:
Step 1: Write equation
h = E/mg
Step 2: Multiply both sides by mg
hmg = E
what is the domain?
what is the range?
what is g(0)?
what is g(x)3?
what is the max value?
is g(x) continuos or discrete?
what is the y intercept?
how many x intercept does g(x) have?
Round to the nearest ten thousand: 324,799 pls help I dont know how 2 right it
Answer:
It is 300000...........
Answer:
300,000+20,000+4,000+700+90+9
Step-by-step explanation:
Your welcome!!
4 boxes of candy costs $ 10. How much
would 14 boxes of candy cost?
Answer:
14 boxes of candy would cost $35
Step-by-step explanation:
First find the unit price. It is $2.50 per box. Next multiply it by 14. It is $35 for 14 boxes of candy.
I hope this helped and have a great day.
(Please vote this the brainliest)
is the population of cats on another island whose cat population was originally 11,000 but is doubling every 14 months. (t is time in months.)
Answer:
P = 11,000(2)^t/11
Step-by-step explanation:
The formula is given as:
P = Po(2)^t/d
Where
Po = Initial population = 11,000
t = time in months
d = doubling time = 11 months
Hence,
P = 11,000(2)^t/11
Hence, the population of cats is given by the equation:
P = 11,000(2)^t/11
Write 1,762 in scientific notation.
A. 1.762 x 10>4
B. 1.762 x 10>3
C. 17.62 x 10>3
D. 17.62 x 10>1
Hey there!☺
[tex]Answer:\boxed{1.762\times10^3}[/tex]
[tex]Explanation:[/tex]
1,762 in scientific notation would be written like this:
[tex]1,762\times10^3[/tex]
Hope this helps!
Answer:
B
Step-by-step explanation:
Please help. BRAINLIEST TO BEST ANSWER
Answer:
b
Step-by-step explanation:
we have the point
[tex](2,-4)[/tex]
so when
x=2
y=4
so we can try on all equations
[tex]y_1=2|x-2|-4\\\\y_1=2|2-2|-4\\\\y_1=2|0|-4\\\\y_1=0-4\\\\y_1=-4[/tex]
so equation 1 could be
[tex]y_2=\frac{1}{2} |x-2|-4\\\\y_2=\frac{1}{2}|2-2|-4\\\\y_2=\frac{1}{2}|0|-4\\\\y_2=0-4\\\\y_2=-4[/tex]
so equation 2 could be
[tex]y_3=2|x+2|-4\\\\y_3=2|2+2|-4\\\\y_3=2|4|-4\\\\y_3=8-4\\\\y_3=4[/tex]
so equation 3 is not
[tex]y_4=\frac{1}{2}|x+2|-4\\\\y_4=\frac{1}{2}|2+2|-4\\\\y_4=\frac{1}{2}|4|-4\\\\y_4=\frac{1}{2}(4)-4\\\\y_4=2-4\\\\y_4=-2[/tex]
so equation 4 is not
So another point that we have is
[tex](0,-3)[/tex]
so we plug in
[tex]y_1=2|x-2|-4\\\\y_1=2|0-2|-4\\\\y_1=2|-2|-4\\\\y_1=4-4\\\\y_1=0[/tex]
so this isn't
[tex]y_2=\frac{1}{2}|x-2|-4\\\\y_2=\frac{1}{2}|0-2|-4\\\\y_2=\frac{1}{2}|-2|-4\\\\y_2=\frac{1}{2}(2)-4\\\\y_2=1-4\\\\y_2=-3[/tex]
so the answer is b
A company was able to increase its staff from 127 employees to 204
employees. What was the percentage increase in staff? Round your
answer to the nearest tenth.
I NEED HELP ASAP
A square and a rectangle are modeled below. The perimeter of both shapes is equivalent. Create
the equation and solve for x.
Answer:
let side of square= x
breadth of rectangle= side if square= x
length of rectangle= y
perimeter of both are equal, so
4x= 2(y+x)
4x= 2y+2x
2x=2y
x=y
Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
same spot, Yasmina Young drove due south for 2 hours at 43 miles per
hour. How far apart were they after their trip?
Answer:
224 miles
Step-by-step explanation:
What you would do is take the 3 hours times the 46 mph to get 138 miles.
3*46=138
Next, multiply the 2 hours by the 43 mph to get 86 miles.
2*43=86
Lastly, you're going to add the two.
138+86=224 miles.
Find the perimeter of the shape below. Show your work!! Use 3.14 as an approximation for pi. Round solution
to nearest hundreth.
12 cm
7 cm
Answer:
The perimeter of the shape below is 44.48cm
Step-by-step explanation:
To calculate the perimeter of this figure we have to add
7cm + 12cm + 7cm + ( perimeter of semicircle)
To calculate the perimeter of the semicircle we have to use the following equation
d = 12cm
r = d/2 = 12cm/2 = 6cm
c = perimeter of semicircle
r = radius = 6cm
π = 3.14
c = π * r
we replace with the known values
c = * 3.14 * 6cm
c = 18.84cm
The perimeter of the semicircle is 18.84cm
Now that we have this value we can calculate the perimeter of the figure
7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm
The perimeter of the figure is 56.84 cm
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .
Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle
∴ 3.14×6+2(12+7)=56.84 cm
Hence, The perimeter of the figure is 56.84 cm
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helpooo pleaseeee and thank youu
K is the midpt. of AB.
Its in the middle of AB so its the midpt.
2 bracket 2x-2 bracket=12
The length of a rectangle is twice the width. The perimeter is 48in. Find the dimensions of the rectangle.
Answer:
w = 6in
l = 12in
Step-by-step explanation:
To solve this problem we propose 2 equations
2w + 2l = 48in
l = 2w
We replace the value of l = (2w) into the first equation and solve
2w + 2(2w) = 48in
2w + 4w = 48in
6w = 48in
w = 48in/6
w = 8in
we replace the value of w and solve
l = 2(8in)
l = 16in
Find two consecutive even integers such that four times the first equals three times the second
Answer:
1st: 2x
2nd: 2x+2
--------
Equation:
4(2x) = 3(2x+2)
-------
8x = 6x + 6
2x = 6
x = 3
-----
1st 2x = 6
2nd: 2x+2 = 8
Step-by-step explanation:
The two consecutive even integers such that four times the first equals three times the second is 6 and 8.
What is an integer ?An integer is a number which has no decimal part.
According to the given question we have to find two consecutive even integers such that four times the first equals three times the second.
Let, the first even integer to be x.
∴ The second integer will be (x+2). [ As every consecutive even
integers comes after 2 digits]
Now, Four times the first equals three times the second which is
4x = 3(x+2)
4x = 3x + 6.
4x - 3x = 6
x = 6.
∴ The even integer is 6 and the second integer is 8.
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Complete the sentences to make true statements 6 is 100 times 0.06 is 10 times 60 is 1/100 of
Answer:
6 is 100 times 0.06
0.06 is 10 times 0.006
60 is 1/100 of 6,000
Step-by-step explanation:
Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).
On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).
Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).
Can you please help
Solve: 4 + x/7 = 2
Answers are:
-14
10
12
42
2. Calculate your total variable costs for the summer at each price. a. 35 lawns per weekx 12 weeks x $24.25 variable cost = b. 20 lawns per weekx 12 weeks x $24.25 variable cost = c. 5 lawns per weekx 12 weeks x $24.25 variable cost =
Answer:
Total variable costs for the summer at each price:
a. = $10,185
b. = $5,820
c. = $1,455
Step-by-step explanation:
a. 35 lawns per week x 12 weeks x $24.25 variable cost
= 35 * 12 * $24.25
= $10,185
b. 20 lawns per week x 12 weeks x $24.25 variable cost
= 20 * 12 * $24.25
= $5,820
c. 5 lawns per week x 12 weeks x $24.25 variable cost
= 5 * 12 * $24.25
= $1,455
d. The variable cost, as can be seen from above, changes based on the volume of activity or production. The number of lawns influenced the cost, since the other indexes are the same in each case.
Help ASAP pllllllllllsssssssssssssssssss
Answer:
15
Step-by-step explanation:
multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15
33/(20-9)
33 divided by (20-9) I need help
Answer: 3
Step-by-step explanation:
To solve, we need to use algebraic properties.
[tex]\frac{33}{(20-9)}[/tex] [parenthesis]
[tex]\frac{33}{11}[/tex] [divide]
3
Mr. Josey is tasked with cutting the grass this weekend. He can cut 1/4 of the yard in 20 minutes. How long will it take to cut the entire yard?
Explain how to find the LCM of 8 and 10
Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.
Step-by-step explanation:
Answer:
Start by listing the first five multiples of each number. Then circle the common multiples
Step-by-step explanation:
3) Find the total cost of a $14.50 movie with a 30% markup.
Answer:
18.85
Step-by-step explanation: