The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
SpeedLet x be the speed of the current in km/h units
Speed of the boat traveling against the current= (15-x) km/h
Time spent traveling 36 miles against the current=36/15-x hours
Time spent rafting36miles (with the current) =35/x hours
Equation=36/x-36/15-x=9
Multiply both sides by x×(15-x)
36×(15-x) - 36x = 9x×(15-x)
540 - 36x - 36x=135x-9x²
9x²-207x+540=0
x²-23x+60=0
(x-3)×(x-30) = 0
Roots are x= 3 and x= 30
Since 15-x must be positive, the only root x = 3 survives
Hence:
Speed =3 km/h
Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
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Teleia bought 25 shirts for $237.50. How much would only one shirt cost?
Answer:
$9.50
Step-by-step explanation:
Divide 237.50 by 25
if the width of a rectangle with periemter is P is 6 units what is its length
write using algebra
Answer:
L = [tex]\frac{P - 12}{2}[/tex]
Step-by-step explanation:
Since perimeter is 2L + 2W, and width is 6, then P = 2L + 2*6, and solving for L gives you (P - 12)/2
Hopefully this helps- let me know if you have any questions!
A large box of strawberris vaires in price.the cost of a box is never graeater than or equal to 10$ the lowest price ever reached for the box of strawberries is 5$. write an inquality to show all the possible prices (P) for a box of strawberries
Answer:
10 > P ≥ 5
Step-by-step explanation:
inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions
sine the price can't be greater than or equal to 10$ we set it up 10 is greater than P ( 10 > P )
sine the lowest price ever was 5$ then we know P can't be any lower than 5$ but can still be 5$ so we set up as P is greater than or equal to 5 ( P ≥ 5 )
then to get your answer you just but the two comparisons together ( 10 > P ≥ 5 )
Please Help! Will Give Brainlest!
Answer:
y = 1
Step-by-step explanation:
Answer:
it's the second option
[tex]y=1[/tex]
Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
x2 – 3x + 27 = 6x + 7
A. 3
B. 6
C.-4
D. 5
E. 4
Answer:
4 and 5
Step-by-step explanation:
its right
can sombody help me i am bad at math illl give brainlist tho
Answer:
A and C are correct
Step-by-step explanation:
Making the decimal value greater than 4.3 or 4.30 will make the statement correct
Answer:
A
Step-by-step explanation:
incomplete statement
4.3 < 4 ← obviously not true
to make the statement true requires the value in the tenths place to be greater than 3 , for example
4.3 < 4.4 ← is a true statement
A pew research poll asked u.s. adults whether fathers today were doing as good a job of fathering as fathers of 20-30 years ago. the table shows their responses. if we select a respondent at random from this sample, what is the probability that the person responded "same" or "better"?
Using it's concept, it is found that there is a 0.4901 = 49.01% probability that the person responded "same" or "better".
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that 424 + 566 = 990 out of 2020 respondants said that they were doing the same or better, hence:
p = 990/2020 = 0.4901
0.4901 = 49.01% probability that the person responded "same" or "better".
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How many cents are in n nickels and c cents?
Using proportions, it is found that there are c + 0.25n cents in n nickels and c cents.
What is a proportion?A proportion is a fraction of a total amount. To solve problems involving proportions, such as this one, multiplications of the amounts and their values are made.
In this problem, we consider that each nickel has 0.25 cents, hence, there are c + 0.25n cents in n nickels and c cents.
More can be learned about proportions at https://brainly.com/question/24372153
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c+0.25n cents is the answer.
These triangles are similar. Solve for the scale factor.
Answer:
Scale factor = 3
Step-by-step explanation:
A - B = 1-3
3 - 1 = 2
A' - B' = 3-9
9 - 3 = 6
6 / 2 = 3
To play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped.
Use a table to represent the sample space.
What is the probability of flipping a head AND rolling either a 3 or a 5? Round the percent to the nearest tenth.
PLEASE HELP!!!
Answer:
Using it's concept, it is found that there is a 8.3% probability of flipping a head AND rolling a 3.
Please help this is using the digits 0 to 9
Answer:
1% of 100 = 1
Step-by-step explanation:
simple and easy :D hope this helps
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
The table has been created just we need the formula to utilise
The formula is given by
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{\sum f(x-\overline{x})^2}{n}}[/tex]
Find f(x-x^-)²It's
313.29+806.45+474.32+72.9+58.19+532.9+605.16+0+497.293360.5Now
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{3360.5}{50}[/tex]
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{67.21}[/tex]
[tex]\\ \rm\Rrightarrow \sigma=8.2[/tex]
Complete this pattern please?
Answer:
30, 40, 50, 60, 70
Step-by-step explanation:
A garden table and a bench cost $767 combined. The garden table costs $53 less than the bench. What is the cost of the bench?
Answer:
55833 that may answer
Step-by-step explanation:
thanktou
Jaden is looking up at the top of a 56 Foot
rock climbing wall
. If Jaden is standing 15 feet
from the base of the wall,
what is the angle
of elevation from Jaden to the top of the wall?
noooooooooooooooooooolo
An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
A rectangular flower bed measures 10 m by 6 m. It has a path 2 m wide around it. Find the area of the path.
Step-by-step explanation:
the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).
we know the dimensions of the small rectangle : 10×6
and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10
(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).
the area of the large rectangle is
14 m × 10 m = 140 m²
the area of the small rectangle is
10 m × 6 m = 60 m²
so the area of the path is
140 - 60 = 80 m²
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.
The surface area of the box is 1048 square inches
How to calculate the total surface area of the boxThe formula for calculating the surface area of the prism is expressed as:
Surface area = 2(lw + wh +lh)
Given the following
l = 20in
w = 8in
h = 13in
Substitute the given parameters'
Surface area = 2(lw + wh +lh)
Surface area = 2(20(8) + 8(13) +20(13))
Surface area = 2(160+104+260)
Surface area = 1048 square inches
Hence surface area of the box is 1048 square inches
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I don't understand this
Answer: (2,1)
Step-by-step explanation:
The two equations given are:
y = 3 -x
y = x - 1
The question is asking to determine the point of intersection for two linear functions aka two lines.
Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.
Add x to both sides to get 2x - 1 = 3Add 1 to both sides to get 2x = 4Divide both sides by 2 to get x = 2Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.
The point of intersection is (2,1).
Hope this helps ^_^
Dillon buys a hand bag priced at $33. Shipping and handling are an additional 30% of the price. How much shipping and handling will Dillon pay?
Answer:
$10.89 should be your answer
determine the common factors and HCF for each of the following terms
1) Зw, 5w
2)5bc ,2c², 3cd
3)4a² b, 8b² c ,6bcd
PLS HELP
1) For the term 3w, 5w, the HCF is "w" since it is common for both terms
2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"
3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.
Common factors and HCF of valuesThe HCF is the smallest value that can divide a set of values without leaving a remainder.
Given the following terms, we are to find their HCF's
1) For the term 3w, 5w, the HCF is "w" since it is common for both terms
2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"
3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.
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help meeee
Given the following formula, solve for a.
A.
B.
C.
D.
Answer:
The correct answer is D.
I hope this helps
Help please…………………….
Answer:
get better maybe
Step-by-step explanation:
just pay attention in class
What is the area of the quadrilateral
How can I write a model of a function in a linear relationship? No links or I will report you! The best explanation and answer gets Brainliest!
Answer:
build linear model
When modeling scenarios with linear functions and solving problems involving quantities with a constant rate of change, we typically follow the same problem solving strategies that we would use for any type of function.
fitting linear models to data
A professor is attempting to identify trends among final exam scores. His class has a mixture of students, so he wonders if there is any relationship between age and final exam scores. One way for him to analyze the scores is by creating a diagram that relates the age of each student to the exam score received.
distinguish between linear and nonlinear relations
As we saw in the cricket-chirp example, some data exhibit strong linear trends, but other data, like the final exam scores plotted by age, are clearly nonlinear. Most calculators and computer software can also provide us with the correlation coefficient, which is a measure of how closely the line fits the data.
use a linear model to make predictions
Once we determine that a set of data is linear using the correlation coefficient, we can use the regression line to make predictions. As we learned previously, a regression line is a line that is closest to the data in the scatter plot, which means that only one such line is a best fit for the data.
key concepts
1. Scatter plots show the relationship between two sets of data.
2. Scatter plots may represent linear or non-linear models.
3. The line of best fit may be estimated or calculated using a calculator or statistical software.
4. Interpolation can be used to predict values inside the domain and range of the data, whereas extrapolation can be used to predict values outside the domain and range of the data.
glossary
correlation coefficient
1. a value, r, between –1 and 1 that indicates the degree of linear correlation of variables or how closely a regression line fits a data set.
extrapolation
1. predicting a value outside the domain and range of the data
Step-by-step explanation:
What is the value of x?
Answer:
20
Step-by-step explanation:
3x=x+40
Because Vertical Angles
2x=40
x=20
What is the absolute deviation of 30 in this data set?
{26, 35, 27, 30, 22}
2
3
5
8
Answer:
The answer is 2
Step-by-step explanation:
I took the k12 test. Hope this helps!
The correct answer is 2
What is mean absolute deviation?The mean absolute deviation is a measure of variability that indicates the average distance between observations and their mean.How to calculate the MAD (Mean absolute deviation)?Take the sum of the absolute value Divide the sum of the absolute value by the total number of values in the data set. Substract the mean after dividing the sum of the absolute value by the total number of values in the data set.
Now , taking the data {26,35,27,30,22}
Adding the data
26+35+27+30+22 = 140
Now , Divide 140 by the total number of values in data set is 5
Therefore, 140/5 = 28
The mean is 28
Now substract the mean from the absolute deviation of 30
that is 30-28 = 2
Hence , The absolute deviation of 30 is data set is 2.
Learn about the absolute deviation below
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Craig won first prize in Mrs. Short's class
so he gets to pick a prize from the treasure
box. He doesn't know what he wants, so
he is going to chose randomly. There are
different gift card prizes: fast food, ice cream,
CD's, DVD's, movies, the mall and Carowinds.
If there is an equal number of each card in
the box, what is the probability he will pull out
the gift card for Carowinds?
Answer: 14%
Step-by-step explanation:
It is now 11:15 A.M. What time will it be in three quarters of an hour?
A) noon
B) 11:45 A.M.
C) 11:45 P.M.
D) midnigh
Answer:
Ur mom
Step-by-step explanation:
Ur mom JK here's the answer 11:45 A.M. because 15 + 15 + 15 = 45 15 is a quarter so yeah Bois is 11:45 A.M Good luck
A triangle has side lengths of 9 cm, 25 cm, and 33 cm. Classify it as acute, obtuse, or right.
Answer:
Obtuse.
Step-by-step explanation:
If sides are a b and c, with c the longest:
c^2 = a^2 + b^2 = Right triangle
c^2 < a^2 + b^2 = Acute ...
c^2 > a^2 + b^2 = Obtuse ...
33^2 = 1089
25^2 = 625
9^2 = 81
625 + 81 = 706
1089 > 706 so the triangle is obtuse.
Answer:
Obtuse scalene triangle
Step-by-step explanation:
Side 1: 9 cm
Side 2: 25 cm
Side 3: 33 cm
1. Find 9 squared, 25 squared, and 33 squared:
9 squared = 81
25 squared = 625
33 squared: 1089
Find sum of the squares of 2 smallest sides:
81 + 625 = 706
Longest Side Squared = 1089
706 < 1089
Hence, since 706 < 1089, aka sum of the squares of the smaller 2 sides < longest side squared - you have a obtuse scalene triangle
I used a triangle calculator, so yeah in advance you should probably just use one of those :)