Answer: x > 0, x = 12 miles per hour
Step-by-step explanation:Let x = speed of boat in still water
Speed upstream (against current) = x-4
Speed downstream (with current) = x+4
Distance = (Rate)(Time), so Time = Distance/Rate
Time upstream + Time downstream = 3
16/(x-4) + 16/(x+4) = 3
16(x+4) + 16(x-4) = 3(x+4)(x-4)
32x = 3(x2 - 16)
3x2 - 32x - 48 = 0
(3x + 4)(x - 12) = 0
x = -4/3 or x = 12
Since x > 0, x = 12 miles per hour
look at the picture nd hurry please it needs to be done by 3 I have to do reading too!
Answer:
First one
Step-by-step explanation:
Even numbers
2 is tossed 10 times
4 is tossed 10 times
6 is tossed 9 times
10 + 10 + 9 = 29
Odd numbers
1 is tossed 8 times
3 is tossed 6 times
5 is toosed 7 times
8 + 6 + 7 = 21
Given triangles are congruent. What is the measure of x? *
5
4
3
Answer:
measure of X is 5 cm.because they are congruent...
Answer:
X is 5 cm.
Step-by-step explanation:
9. A new classroom is 10.5 metres by 5.2 metres.
Each child needs 2m2 of space.
How many children are allowed in the classroom? Round to the nearest whole number
Answer:
14
Step-by-step explanation:
(10.5×5.2)÷(2×2)
=13.65
~14
Answer:
14 students
Step-by-step explanation:
because of round to the nearest whole number.
mark me brainliest please
you have been assigned a 9 digit identification number.
Explain why you should use a Fundamental Counting Principle?
How many identification numbers are possible?
Answer:
1,000,000,000 identification numbers are possible.
Step-by-step explanation:
We are assigned a 9 digit identification number.
Each digit is a number from 0 to 9. So, each digit has 10 different choices.
Using the Fundamental Counting Principle (is better than the tree diagram) because it's simpler. To illustrate this, we can attempt to draw a tree diagram.
The first column will be the digits 0 to 9.
Then for each of those digits, we need another 0 to 9.
As you can imagine, the amount of numbers grow exponentially, so using the Fundamental Counting Principle is simpler.
And since we have a 9 digit identification number, with each digit having 10 choices, the total number of identification numbers possible are:
[tex]10\times 10\times 10 \times 10\times 10 \times 10 \times 10 \times 10 \time 10\times 10=10^9=100000000[/tex]
So, 1,000,000,000 identification numbers are possible.
Determine whether the relation is a function
10
21
18
9
6
Is this relation a function?
Answer:
pppppp
Step-by-step explanation:
ppppppp
The value of y in 4(2y – 3) + 12 = 40 is _________
Answer:
5
Step-by-step explanation:
4(2y – 3) + 12 = 40
8y - 12 + 12 = 40
8y = 40
y = 40/8
y = 5
How do I do this ? Please help
Step-by-step explanation:
[tex](3.2 \times {10}^{2} )(3 \times {10}^{ - 2}) \\ = 3.2 \times 3 \times {10}^{2 - 2} \\ = 9.6 \times {10}^{0} \\ = 9.6[/tex]
Hope it will help :)
Answer:
9.6
Step-by-step explanation:
(3.2×10²) = 320
(3×10‐²)=0.03
320×0.03=9.6
cost of 4 dozen bananas is rupees 180 how many bananas can be purchased for rupees 30 unto
Answer:
8 bananas
Step-by-step explanation:
4 dozen is equal to 48 and 180 divided by 48 is 3.75 then 30 divided by 3.75 is 8
Imogene's car traveled 504 mi averaging a certain speed. If the car had gone 9 mph faster, the trip would have taken 1 hour less. Find the average speed.
The average speed of the car was mph.
A baby girl weighed 6 pounds at birth and 8
pounds one month later. How many ounces
did the baby gain in her first month of life?
A. 16 ounces
В.
64 ounces
C. 32 ounces
D. 48 ounces
Answer: C
Step-by-step explanation:
1 pound is equivalent to 16 ounces. She earned 2 pounds in 1 month, meaning that you have to multiply 16 times 2, which gives 32 ounces. Hope this can help you! Have a great day/night!
Find the range for the measure of the third side of a triangle given the measures 5 and 9 for two of its sides.
K + 20% of k
k = Rs
Rs 180
Answer:
216........................
HELPPPP MEEE OUTTTT???
On what day of the year 2009 was the year 250 000 minutes old? Give the month and day????
=========================================================
Explanation:
1 hour = 60 minutes
1 day = 24 hours
1 day = (24 hrs)*(60 min/1hr) = 24*60 min = 1440 min
1 day = 1440 min
Divide 250,000 minutes over 1440 min to convert from minutes to days
(250,000)/(1440) = 173.611
This means 250,000 minutes is approximately 173.611 days.
We round this down to the nearest whole number because 174 full days means that some portion of minutes has not elapsed just yet. In other words, we're still on day 173. Yes we're past the halfway point, but we're still on this day.
From here, bring out a Day-Of-Year Calendar which will help you locate any day of the year if you know its numeric value, and vice versa. For instance, if you selected any value between 1 and 31, then you'll be on January of that day number. If you selected 32, then you'll be on February 1st since day 32 is one day after day 31 (the last day in January). The largest value of the calendar is either 366 on leapyears or 365 for non-leapyears.
Keep in mind that 2009 is not a leapyear, so that means we won't be involving Feb 29. On non-leapyears, the 173rd day lands on June 22nd.
You could count out the number of days from Jan 1st until you count out 173 days (you should land on June 22). Though I don't recommend this method because it could be error prone and slow.
------------
Side note: Day-Of-Year Calendars are useful if you want to know the timespan between any two days of the year. For instance, June 22 is the 173 day of the year while Oct 9th is the 282 day of the year (I'm focusing on a non-leapyear). The difference in value is 282-173 = 109, meaning that 109 days elapse from June 22 to Oct 9.
Answer:
PLEASE DO NOT REPORT THIS..... I MA THE PERSON WHO ASKED THE QUESTION.... MY ACCOUNT GOT DELETED >:(
Please don't
Thanks :)
Step-by-step explanation:
Two families went to Rollercoaster World. The Garcia family paid $170 for 3 children and 2 adults. The McGruder family paid $360 for 4 children and 6 adults.
If x is the price of a child’s ticket in dollars and y is the price of an adult’s ticket in dollars, write a system of equations the models this situation.
Answer:
3x +2y =170 ---equation 1
4x +6y =360 ---equation 2
Price of child 's ticket =$30
price of an adult’s ticket =$40
Step-by-step explanation:
Let x represent the price of a child’s ticket in dollars
and y represent the price of an adult’s ticket in dollars
Such that
3 children and 2 adults for the cost of $170 be represented as
3x +2y =170 ---equation 1
4 children and 6 adults for the cost of $360 be represented as
4x +6y =360 ---equation 2
3x +2y =170 ---equation 1
4x +6y =360 ---equation 2
bY Elimination method Multiplying equation 1 by 4 and equation 2 by 3
12x+8y =680---equation 3
12x +18y =1080---equation 4
Subtracting equation 3 from 4
10 y=400
y =400/10
y=40
Puting the value of y=40 in equation 1 to foind x
3x +2y =170
3x+2 x 40= 170
3x+80 =170
3x=170-80
3x=90
x=90/3=30
Price of child 's ticket =$30
price of an adult’s ticket =$40
please help me solve
Answer:
d
Step-by-step explanation:
an athlete takes 10 rounds of a rectangular path, 70m long and 40m in wide. find the total distance covered by him.
Answer:
2,200 meters.
Step-by-step explanation:
Given that an athlete takes 10 rounds of a rectangular path, 70 meters long and 40 meters wide, in order to find the total distance covered by him the following calculation must be performed:
((40 + 70) x 2) x 10 = X
(110 x 2) x 10 = X
220 x 10 = X
2,200 = X
Thus, the total distance covered by the athlete was 2,200 meters.
can i get some help plz? God bless ❤️
Answer:
Step-by-step explanation:
a, i took this quiz a while ago
need these 2 questions answer fast pls
Answer:
4a) The sides are not scaled up equally for the sides. Plus, B is not a right triangle since it does not satisfy the pythogorean theorem.
4b) 6, 8, 10
The table shows the mean monthly temperatures in Alcudia for the last 2 years in degrees Celsius.
°C Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Last Year 9 10 11 14 19 22 27 29 21 18 11 6
2 Years Ago 7 11 10 13 17 23 25 25 20 18 12 9
What is the difference in the range of temperature between the two years?
°C
What was the modal temperature last year?
°C
What was the median temperature 2 years ago?
°C
Answer:
(a) The difference is 5
(b) No mode
(c) [tex]Median =15[/tex]
Step-by-step explanation:
Given
The above data
Solving (a): Difference in their range
Range is calculated as:
[tex]Range = Highest - Lowest[/tex]
For last year:
[tex]R_1 = 29 - 6 = 23[/tex]
For 2 years ago
[tex]R_2 = 25 - 7 =18[/tex]
The difference is:
[tex]R = R_1 - R_2 = 23 - 18[/tex]
[tex]R = 5[/tex]
Solving (b): The modal of last year
This is the entry with the highest frequency
From "last year" data, each of the entry has a frequency of 1.
This implies that there is no mode
Solving (c): Median of last 2 years
First, arrange in ascending order
[tex]Sorted: 7, 9,10, 11 ,12,13 ,17,18,20 ,23 ,25 ,25[/tex]
The median is then calculated as:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{12+1}{2}th[/tex]
[tex]Median = \frac{13}{2}th[/tex]
[tex]Median = 6.5th[/tex]
This means that we calculate the average of the 6th and 7th entry
[tex]Median = \frac{1}{2} * (13 + 17)[/tex]
[tex]Median = \frac{1}{2} * 30[/tex]
[tex]Median =15[/tex]
PLEASEEEEEEEEEEEEEEE HELPPP
Answer:
88, A
Step-by-step explanation:
16 x 4 = 64
3 x 8 = 24
64+24 = 88
600 students attend Ridgewood Junior High School. 10% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answer:
60
Step-by-step explanation:
10% of 600 is 60
write the word sentence as an quotation:
the sum of the number k and 5 is 11
Answer:
k+5=11
Step-by-step explanation:
Answer:
k=6
Step-by-step explanation:
k+5=11 (this is an algebraic expression)
k=11-5 (you move 5 to the left)
k=6
2x=11 need the answer plss
Answer:
x=11/2 = 5 1/2
Step-by-step explanation:
Answer:
5.5 =x
Step-by-step explanation:
2x=11
1. Start by dividing by ten since its a even number
2. Then you'll get 5
3. With the last number you'll divide it that'll end up with
.5
4. Just combine both 5 and .5 and you'll get your answers 5.5
A circle has a radius of 4 ft. What is its circumference?
Use 3.14 for I, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
C=25.13274 ft
Step-by-step explanation:
Circumference=2*pi*r
C=2*pi*4
C=25.13274 ft
please I need the answer
What is an exponent?
I am just confused. I need the definition. Thx
Answer:
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
Answer:
an exponent is how many times you multiply a number by itself.
Step-by-step explanation:
For example, if there is a 4 with a 3 as an exponent, you would solve 4x4x4, also known as 4 cubed. or if there was a 2 with a 4 as an exponent , you would do 2x2x2x2. Hope this helps :)
Write as a square of a binomial
4.8xy+36y^2+0.16x^2
Answer:
(6y+0.4x)^2
Step-by-step explanation:
This is a question my friend asked me help
Cranberry juice is made with a 16:3:1 ratio of water:sugar:cranberries. How much water, in gallons, is needed in order to make three gallons of cranberry juice? Express your answer as a common fraction.
Answer:
12 / 5 gallons
Step-by-step explanation:
Eveluate the expression for a = 5
2a + 6
Answer:-11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
a = 5
2a + 6 = 5
Substitute 5 in the place of a.
2(5) + 6 = 5
10 + 6 = 5
16 = 5
0 = 5 - 16
= -11
Omar deposited $4000 into an account with 3.3% interest, compounded semiannually. Assuming that no withdrawals are made, how much will he have in the account after 5 years? Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
4711.22
Step-by-step explanation:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=4000(1+\frac{0.033}{2}) ^{2*5}\\\\A=4711.22[/tex]