speed of current is 1.5 mi/hr
Answer:
let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h
speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr
The probability that Jessica is on time for a given class is 64 percent. If there are 53 classes during the semester, what is the best estimate of the number of times out of 53 that Jessica is on time to class? Round your answer to the nearest integer.
Provide your answer below:
Using the principle of probability, the estimated number of times Jessica will be on time is 34.
Given the Parameters :
Probability of being on time, p = 64% = 0.64Total number of classes, n = 53The best estimate for the number of times Jessica will be on time can be calculated thus :
Mean = npHence, we have ;
Mean number of times = (0.64 × 53)
Mean number of times = 33.92
Hence, the estimated number of times Jessica will be on time is 34.
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Any MATHEMATICIANS IN THE HOUSE PLS
Find the equation of the circle centre (-3,4) with radius 7 units
options
(a) x2+y2+6x+8y−24=0
(b) x2+y2-6x-8y+24=0
(c) x2+y2+6x-8y-24=0
(d) x2+y2+6x-8y+24=0
Answer:
A po
Step-by-step explanation:
pa like po and pa point ty po
(x-(-3))² + (y-4)² = 7²
x2+6x+9+y²-8y+16= 49
x2+y²+6x-8y+25-49=0
x2+y2+6x-8y-24=0
answer:
B. x2+y2+6x-8y-24=0
Give the digits in the tens place and the tenths place.
74.89
Answer:
7 is in the tens place
.8 is in the tenths place
Step-by-step explanation:
Rounded:
75
Answer:
Step-by-step explanation:
74.89
Tens place = 4
Tenths place = 8
write in Egyptian numerals 412
Answer:
Step-by-step explanation:
The screen on a computer monitor has a length of 3 inches and a width of 4 inches. What is the length of the diagonal to the nearest tenth of an inch?
Answer:
0.12? i think its wrong
Step-by-step explanation:
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ d^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} d=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ d = \sqrt{3^2+4^2}\implies d = \sqrt{9+16}\implies d = \sqrt{25}\implies d = 5\implies \stackrel{\textit{rounded up}}{d = 5.0}[/tex]
84 divided 5,376 ? (Show work)
Answer:
64
Step-by-step explanation:
6 4
8 4 5 3 7 6
- 5 0 4
3 3 6
- 3 3 6
0
18c) Find the value of x in each case.
Answer:
x = 22.5°
Step-by-step explanation:
m∠DEA = 2x
DE || AB
m∠EAB = 2x - by Alternate Interior Angles
Exterior angle = 6x, which equals 2x + 4x
m∠BEA = 4x
Exterior Angle 4x = 2x + 2x
m∠B = 2x
2x + 4x + 2x = 180°
8x = 180°
x = 22.5°
Exterior Angles of a Triangle:An exterior angle of a triangle is equal to the two REMOTE angles inside the triangle.
In this example, we know that 6x has remote angles of ∠EAB and ∠BEA
We found out that m∠EAB = 2x, so m∠BEA must equal 6x - 2x or 4x
Sum of angles in a Triangle:The sum of all angles in a triangle is equal to 180°.
In this example, we found all the angles, 2x, 4x, 2x. We added all of those values to equal 8x
Since the sum of all angles = 180°:
8x = 180°
x = 180°/8
x = 22.5°
-Chetan K
During the evaporation
experiment, Sample A lost 0.983
grams, Sample B lost 0.092 grams, and
Sample C lost 0.979 grams. Place the
samples in order from least weight lost
to most weight lost.
Answer:
- 0.092g
- 0.979g
- 0.983g
Explanation: 0.83 > 0.979 > 0.092
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Sample lost is equal to ~
[tex]0.983 \: g \: (sample \: \: 1)[/tex][tex]0.092 \: g \: (sample \: \: 2)[/tex][tex]0.979 \: g \: (sample \: \: 3)[/tex]If we arrange it in order from least weight lost to most weight lost, we will get ~
[tex] \fbox{Sample 2 < Sample 1 < Sample 3}[/tex]Suppose that your saving account earns interest at an APR of 1.8%, compounded daily. Determine the annual percentage yield (APY) of your saving account.
Describe a situation and write an equation that you could use in your everyday life.
Answer:
Variable Costs
Step-by-step explanation:
Imagine that you are taking a taxi while on vacation. You know that the taxi service charges $9 to pick your family up from your hotel and another $0.15 per mile for the trip. So you simply make an equation as y = 0.15x+9. Math is also used in stocks we use math daily in our life, calculating prices for something we use basic multiplication and addition almost everyday.
14. Explain why a rotation of positive 180 degrees is the same as a rotation of -180 degrees.
Answer:
t is the same because...
Step-by-step explanation:
turning -180 is like turning right turning left no matter how you turn you will still be in the opposite from which you started
2. Use any strategy to multiply.
a. 4 x 79
Please help if u can’t read:
It cost $8 to sign up for a music download. Service and $0.7 to download music. Complete the table showing how jada can spend money downloading songs.
Answer:
4=11
$19.25=15
30=$38.75
use the given conditions to write an equation!!!!
Twice the sum of five and a number is 36
Answer:
2(5+x)=36
Step-by-step explanation:
Answer:
N+5=36
Step-by-step explanation:
hope this helps good luck!
what percent of 36 is 24?
Answer:
66.67
Step-by-step explanation:
Answer:
66.67
Step-by-step explanation:
24 / 36 x 100 is 66.67%
Which three transformations described will result in a figure that has the same side lengths and angles as quadrilateral ABCD?
y
B
4
А
2-
D
O
4
4
c
-4
a vertical stretch by a factor of 3
a rotation of 90° clockwise about the origin
a reflection across the y-axis
a dilation by a factor of 1
Answer:
a translation 4 units right and 3 units up
a reflection across the y-axis
Step-by-step explanation:
on plato^ only got 2/3 right but its not this:
a vertical stretch by a factor of 3 (since . i got it wrong)
a horizontal stretch by a factor of 4( i also got this wrong on my second attempt)
Therefore the third one has to be one of these:
a dilation by a factor of 1/4
a rotation of clockwise about the origin
Answer:
A translation 4 units right and 3 units up
A reflection across the y-axis
A rotation of 90 degrees clockwise about the origin
Step-by-step explanation:
A gym is selling monthly memberships for $40 each and reusable water bottles for $6 each. The gym needs to make $1248 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1248, where m is the number of monthly memberships sold, an
Refer to the table. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.
Write the equation of the line that passes through the given points.
(1,2.5) and (0,6.5)
Answer:
no c
Step-by-step explanation:
An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28
Answer:
$28
Step-by-step explanation:
42 percent is equivalent to 42/100, which is equivalent to the decimal representation of .42
Multiplying .42 by the price will give the percentage of the price:
68.89 * .42 = 28.7
28.7 is closest to 28
7. Compare the values of the 3s in the
number 5,338.
Answer:
the first 3 is 10 times the value of the second 3
Nicole is playing a video game where each round lasts 7/12 of an hour. She has scheduled 3 3/4 hours to play the game.
How many rounds can Nicole play?
Answer:
6 3/7
Step-by-step explanation:
Lila evaluates the expression using the following steps:(−7.13+63.97)+(−54.8−3.4)−71.1+(−58.2)−129.3Describe the error that Lila made.
Lila's error was that she added -7.13 to 63.97 to get -71.1
Lila steps are as folows
(−7.13 + 63.97) + (−54.8 − 3.4) = −71.1 + (−58.2) = −129.3
In the first bracket, Lila was suppose to subtract 7.31 from 63.97 since there is a negative in front of 7.31.
So, the correct expression should be
(−7.13 + 63.97) + (−54.8 − 3.4) = 56.84 + (−58.2) = 56.84 - 58.2 = −1.36
So, Lila's error was that she added -7.13 to 63.97 to get -71.1
Learn more about addition and subtraction here:
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what is the slope of the line?
One side of a triangle has length 6 in. and another side has length 3 in. Which is the greatest possible value for the length of the third side?
Answer:
the ancwer is 18 in.
Step-by-step explanation:
thanks googel
The greatest possible value for the length of the third side is 8.9 .
What is Triangle Inequality theorem?The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
According to the question
One side of a triangle has length 6 in. and another side has length 3 in.
Let side be a, b, c
a = 6 inches
b = 3 inches
Now,
According to the Triangle Inequality theorem
The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
a + b > c
6+3 > c
9 > c
a + c > b
i.e
6+c > 3 ( Not possible )
b + c > a
3 + c > 6
c > 3
or
difference of two sides <c< sum of two sides, will give you the possible length of a triangle.
Therefore, 6−3<c<6+3
The third side is between 3 and 9 .
Hence, the greatest possible value for the length of the third side is 8.9 .
To know more about Triangle Inequality theorem here:
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#SPJ2
which of the following pairs of sets given below are equal?
Answer:
hi there is that OK for.
Step-by-step explanation:
ok bye por and thanks again and.
Simplify to the form of a square root of b
Answer:
If we substitute a and b to equal 6 for example
it would be
√
6
2
+
6
2
it would equal 8.5(1.d.p) as it would be written as
√
36
+
36
giving a standard form as
√
72
However if it was
√
6
2
+
√
6
2
it would equal 12 as the
√
and
^
2
would cancel out to give the equation 6+6
Therefore
√
a
2
+
b
2
cannot be simplified unless given a substitution for a and b.
I hope this isn't too confusing.
Step-by-step explanation:
which expression represents the situation
Answer:
12p = 48
Explanation:
There are 48 photos total, so multiply 12 pages, times the number of photos on each page to find the total number of photos.
Which are equivalent to 2 3/4 x 8/9? Check all that apply.
Answer:
The second, fourth one
Step-by-step explanation:
2nd: First thing you need to do is make 2 3/4 into a fraction so you would multiple 4x2 and add 3 which gives you 11. So you get 11/4 x 8/9
4th: Using the number from the 2nd you gte 11/4 x 8/9. WHen you multiple fractions you multiply straight accross so 11x8 and 4x9 which gives you 88/36
A woman bought 50 meters of cloth at 6000 and she sold the cloths at 150 per meter find her Percentage profit or loss
Answer:120
Step-by-step explanation:120 x 5 =6.000=6000
