Answer:
x = 49 mi/hr
y = 6 mi/hr
Step-by-step explanation:
A motorboat travels 258mi in 6 hours going upstream. It travels 330mi going downstream in same amount of time. What's the rate of the boat in still water and what is the rate of the current.
Let
x = the speed of the boat in still water.
y = the speed of the stream
The speed upstream is x - y
The speed downstream is x + y
Distance = rate × time
258 = (x - y)6 (1)
330 = (x + y)6 (2)
From (1)
x - y = 43 (3)
From (2)
x + y = 55 (4)
x - y = 43 (3)
x + y = 55 (4)
Add the equations to eliminate y
x + x = 43 + 55
2x = 98
x = 98/2
x = 49 mi/hr
Substitute x = 49 into (4)
x + y = 55 (4)
49 + y = 55
y = 55 - 49
y = 6 mi/hr
Children and adults purchased tickets for a local amusement park.all tickets were sold at the park entrance-season passes,discount,atc.we’re not allowed.A child’s tickets cost $8 while an adult ticket cost $15.A total of 5,500 was collected.600 tickets were sold.how many of each type of ticket were sold?
Answer:
x = number of children tickets sold = 500
y = number of adult tickets sold = 100
Step-by-step explanation:
Let
x = number of children tickets sold
y = number of adult tickets sold
x + y = 600 (1)
8x + 15y = 5,500 (2)
From (2)
x = 600 - y
Substitute x = 600 - y into (2)
8x + 15y = 5,500 (2)
8(600 - y) + 15y = 5,500
4,800 - 8y + 15y = 5,500
- 8y + 15y = 5,500 - 4,800
7y = 700
y = 700/7
y = 100
Substitute y = 100 into (1)
x + y = 600 (1)
x + 100 = 600
x = 600 - 100
x = 500
x = number of children tickets sold = 500
y = number of adult tickets sold = 100
whats the answer to 876 + 17.2638
893.2638
is this what you mean?
HELP ASAP
Find x to the nearest hundredth.
Answer:
x = 10.28
Step-by-step explanation:
sin = opp/hyp
sin 40 = x / 16
multiply both sides by 16
16 * sin40 = x
x = 10.284601754984629
Rounded
x = 10.28
If the truck has a mass of 3,000 kilograms, and a velocity of 45 m/s, what is its momentum? show working
Answer: p = 70,000 kg m/s
Step-by-step explanation:
PLS HELP THIS IS URGET ILL GIVE 100 POINTS
BOTH OR ONE QUESTION ANSWER WILL DO
36% in its simplest fraction
Answer:
9/25
Step-by-step explanation:
Of a group of 200 workers, 15 are chosen to participate in a survey about the number of miles they drive to work each week. What is the sample size?
A) 200
B) 15
C) 185
D) 0
Answer:
15 works were choosen to be the sample size. that means the answer is B.(BRAINLEST!!!)
Step-by-step explanation:
Please Help ASAP!!! Last question!
Initially, the ratio of Alex's toy cars to Pete's toy cars was 7:3. After Alex gave 20 toy cars to Pete, they each had an equal number of cars. how many toy cars did they have altogether?
Answer:
100 cars
Step-by-step explanation:
Alex: Pete
7: 3
Multiply by x to get the number of cars
Alex has 7x cars
Pete has 3x cars
Now Alex gives pete 20
Alex has 7x-20
Pete has 3x+20
They have the same number of cars so set the expressions equal
7x-20 = 3x+20
Subtract 3x from each side
7x-20-3x = 3x+20-3x
4x-20 = 20
Add 20 to each side
4x-20+20 = 20+20
4x= 40
Divide by 4
4x/4 = 40/4
x = 10
Alex had 7x = 7*10 = 70 to start
Pete had 3x = 3*10 = 30 to start
Together 70+30 = 100 cars
Answer:
100 cars
Step-by-step explanation:
Alex: Pete
7: 3
Multiply by x to get the number of cars
Alex has 7x cars
Pete has 3x cars
Now Alex gives pete 20
Alex has 7x-20
Pete has 3x+20
They have the same number of cars so set the expressions equal
7x-20 = 3x+20
Subtract 3x from each side
7x-20-3x = 3x+20-3x
4x-20 = 20
Add 20 to each side
4x-20+20 = 20+20
4x= 40
Divide by 4
4x/4 = 40/4
x = 10
Alex had 7x = 7*10 = 70 to start
Pete had 3x = 3*10 = 30 to start
Together 70+30 = 100 cars
grade 9 maths pls help
Find the zeroes of i) ( x-31) (x+2) ii) 3x +5
Answer:
ok i will help .........
HELP!!!!! need the answer
Answer:
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
Can someone help me please
Answer:
51
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 54 and the smallest number is 3
54-3 = 51
If cost price of 10 calculators is equals to selling price of 16 calculators .find profit or loss percentage......... tell me
Answer:
37.5%
Step-by-step explanation:
10 × cost price = 16 × selling price
cost price : selling price = 16 : 10
=8:5
loss % = (3/8)×100
=37.5%
Answer:
It's a loss
Step-by-step explanation:
The price of an article is increased from Rs 75 to Rs 78. Find the percentage increase in the price of the article.
( 78 -75 / 75 ) × 100 =
(3/75 )× 100 =
( 3 / 3 × 25 ) × 100 =
(1/25) × 100 =
100/25 =
% 4
what is the area of this octagon
Answer:
59cm^2
Step-by-step explanation:
first you can do 8x9 to get 72 then you can subtract 4x2 from 72 to get 64 and lastly you have to subtract 4 from 9 to get the area of the small rectangle on the left so you get 5 and then you have to get the width which is 4+3 from the top and subtract that from 8 on the bottom which is 1 so now you have 5x1 which is 5 and subtract that from 64 to get 59cm^2
hope this helps
Ms. Potter bought x number of shirts for the new members of her chorus. The cost for x numbers of shirts, including $6.99 shipping, was $195.99. Each shirt costs $18.25. There was no sales tax on this purchase. Which equation could be used to find x?
Answer:
instead of finding x find an ps4
Step-by-step explanation:
like what
Need help thanks :)
Answer:
Answer 1= 2 square
Answer 2= 33
Find the area of this circle. Use 3.14 for . A circle has diameter 62 feet. 62 ft
PLS HELP
Answer:
3017.54
Step-by-step explanation:
Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2
Plug in the numbers 3.14 * 31 ^2
31 is half the diameter or the radius
Answer = 3017.54
is 4.083 rational number
A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?
Given:
The height of ball is represented by the below function:
[tex]h(t)=-16t^2+20t+24[/tex]
To find:
The number of seconds it will take to reach the ground.
Solution:
We have,
[tex]h(t)=-16t^2+20t+24[/tex]
At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].
[tex]-16t^2+20t+24=0[/tex]
Taking out greatest common factor.
[tex]-4(4t^2-5t-6)=0[/tex]
[tex]4t^2-5t-6=0[/tex]
Splitting the middle term, we get
[tex]4t^2-8t+3t-6=0[/tex]
[tex]4t(t-2)+3(t-2)=0[/tex]
[tex](t-2)(4t+3)=0[/tex]
Using zero product property, we get
[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]
[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]
Time cannot be negative, so [tex]t=2[/tex].
Therefore, the ball will reach the ground after 2 seconds.
Which ordered pair is a solution of the equation?
-x- 4y = -10
Answer:
There are many ordered pairs that are solutions to the equation but here are the few; (0,2.5), (2,2), (4,1.5), (-2,3), (-4,3.5), (-6,4), (6,1), (8,0.5), etc...
Step-by-step explanation:
I used a graphing calculator
hope this is helpful
i have 1 hour to do this. please help me :). 20pts!!!
One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?
Answer:
Hello! answer: 7
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
therefore the missing leg is 7
75 is 24% of what number?
I WILL GIVE BRAINLIEST!!!!
Answer:
312.5
Step-by-step explanation:
Is means equals and of means multiply
75 = 24% * n
Change to percent form
75 = .24 n
Divide each side by .24
75/ .24 = .24n/.24
312.5 = n
Simplify for ez fast points!
Answer:
-81
Step-by-step explanation:
-3 ^4
The negative is not included in the exponent
- (3)^4
- 3*3*3*3
-81
Mrs. Rios put a wallpaper border around the room shown below. She used 70 feet of wallpaper border. What is the unknown side length?
Answer: 16 feet
Step-by-step explanation:
Looking at the shape, one can notice that the unknown side can be found by adding the sides that are circled because they will give the same distance.
The length of the unknown side is therefore:
= 8 + 8
= 16 feet
HELP!!! im running out of time
student is selected at random what is the probability the student is a female junior
Answer:
20%
Step-by-step explanation:
total male = 14
total female = 16
total students 30
there are only 6 females that are juniors so the probability of picking one would be 6/30
and 6/30 is equal to 0.2 (divide)
and 0.2 is equal to 20% (move the decimal right two spaces)
(trigonometry) solve for x
Step-by-step explanation:
since given triangle is right angle,
Taking angle X as reference angle.
Tan x =p/b
Tan x=37/8
Tan x=4.625
X=tan^-1(4.625)
X=77.79
X=78°
A township supervisor hopes to improve the current recycling program by having residents separate their recycled
materials by type. For example, glass and plastic materials would be placed into separate recycling containers. To
measure community support for a change to the recycling program, the supervisor visits a busy shopping area and
asks randomly selected residents to respond to the following question: "Do you agree that responsible citizens
would separate their recycled items by type of material?” What type of bias could be present in the survey results
and what is a likely direction of the bias in estimating community support for the change to the recycling program?
This is question wording bias. The survey overestimates community support for change to the recycling program.
This is question wording bias. The survey underestimates community support for change to the recycling
program
This is voluntary response bias. The survey overestimates community support for change to the recycling
program
This is voluntary response bias. The survey underestimates community support for change to the recycling
program
Answer:
B
Step-by-step explanation:
It is necessary and the strategic way to collect the waste materials and separate them by material type before recycling. Hence, this is voluntary response bias. The survey overestimates community support for change to the recycling program.
What is recycling?Recycling is the process regenerating new products from the decomposed materials such as broken plastics, fuel from biowastes, glasses from broken glass parts etc.
Recycling technology is a nature genuine strategy and it helps to reduce the accumulation of wastes on earth surface. Not all people are aware of the significance of this method.
Therefore, the bias possible to be occur for the question is from voluntary response and the survey underestimates community support for change to the recycling program.
To find more on recycling, refer here:
https://brainly.com/question/11861824
#SPJ2
A box contains 60 identical marbles where x of them are red while the rest are yellow. If a marble is drawn and the probability that it is white is 1/12, find the value of x.
b: How many white marbles must be added to the box so that the probability of choosing a white marble is 5/16?
Please answer I will make brianliest!!
Answer:
a. x is 55
b. 20 white marbles
Step-by-step explanation:
Question: A box contains 60 identical marbles where 'x' of them are red while the rest are white; (given that in the original question, the box only contains red and yellow marbles, the yellow can be replaced by white to explain the question idea)
a. The number of identical marbles in the box, n = 60
The number of red marbles = x
The number of white marbles = The rest of the marbles which are not red
The probability that a marble drawn is white, P(y) = 1/12
Let 'y' represent the number of white marbles
From probability theory, we have;
The number of white marbles, y = n × P(y) = 60 × 1/12 = 5
The number of red marbles, x = n - y = 60 - 5 = 55
x = 55
b. The number of white marbles that must be added to make the probability of choosing a white marble = 5/16 is given as follows;
Let Δy represent the number of white marbles added, therefore;
P(y) = (y + Δy)/(y + Δy + x)
∴ P(y) = (5 + Δy)/(5 + Δy + 55) = 5/16
5 × (60 + Δy) = 16 × (5 + Δy)
300 + 5·Δy = 80 + 16·Δy
16·Δy - 5·Δy = 300 - 80
11·Δy = 220
Δy = 220/11 = 20
The number of white marbles that must be added, Δy = 20 white marbles
Find BC in ABC round to the nearest 10th PLEASE ROUND TO THE NEAREST THENTH
Answer:
The measure of angle A is 48.4 degrees
Step-by-step explanation:
To find the measure of angle A, we are going to use the cosine rule
We have this as;
a^2 = b^2 + c^2 - 2bc Cos A
a^2 = 11^2 + 13^2 -2(11)(13) cos A
100 = 121 + 169- 286cos A
286 cos A = 290-100
286 cos A = 190
cos A = 190/286
cos A = 0.6643
A = arc cos 0.6643
A = 48.4 degrees