a boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour. what is the rate of the current?
Answer:
7 or 8 miles per hour
Step-by-step explanation:
The rate of current or velocity of current upriver is 4.5 miles per hour.
What is velocity?Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.
For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.
Let's suppose the velocity or speed of the boat (Velocity in still water ) = V miles/hour
Velocity of current = x miles/hour
Given that,
The boat takes 2 hours to travel 15 miles upriver against the current.
15 miles in 2 hour
⇒ 7.5 miles/hour
Since it is traveling against the current velocity so
V - x = 7.5
And V = 12 miles/hour
By substitution,
12 - x = 7.5
x = 12 - 7.5
x = 4.5 miles/hour
Hence "The rate of current or velocity of current upriver is 4.5 miles per hour".
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6 more than 7 times 3 ?
Answer:
27
Step-by-step explanation:
maria and emme each had 4 pints of paint on the first day of painting maria used 3/5 of her 4 pints amd emma used 3/4 of her 4 pints of paint altogether how much of maira and emma paint remained altogether how much of maria and emme paint remained after the first day of painting
HEELLPP ME PLZZZ
Answer:
[tex]\frac{13}{5}[/tex] pints of paints are left together
Step-by-step explanation:
Given
Number of pints of paint with Maria [tex]= 4[/tex]
Number of pints of paint with Emme [tex]= 4[/tex]
On the first day , Maria used [tex]\frac{3}{5}[/tex] of her [tex]4[/tex] pints of paints
Hence, Paint left after first day with Maria
[tex]= 4 - (\frac{3}{5} * 4)\\= \frac{20 - 12}{5} \\= \frac{8}{5}[/tex]
On the first day , Emme used [tex]\frac{3}{4}[/tex] of her [tex]4[/tex] pints of paints
Hence, Paint left after first day with Emme
[tex]= 4 - (\frac{3}{4} * 4)\\\\= 4-3\\= 1[/tex]
Total pint of paint left with both Maria and emme altogether
[tex]= 1 + \frac{8}{5}\\= \frac{5+8}{5} \\= \frac{13}{5}[/tex]
For each of the following propositions, identify simple propositions, express the compound proposition in symbolic form, and determine whether it is true or false: The world is flat or zero is an even integer. If 432,802 is a multiple of 4, then 432,802 is even. 5 is a prime number and 6 is not divisible by 4. 3 ∈ Z and 3 ∈ Q . 2 / 3 ∈ Z and 2 / 3 ∈ Q . The sum of two even integers is even and the sum of two odd integers is odd.
Answer:
a) True
b) True
c) True
d) True
e) False
f) False
Step-by-step explanation:
a) The world is flat or Zero is an even Integer
simple proposition : it is a compound interestexpressing compound proposition in symbolic form : p v q ; where p = world is flat and q = Zero is an integerIt is a true statementB ) If 432,802 is a multiple of 4, then 432,802 is even
simple proposition : It is a compound statement expressing compound proposition in symbolic form : p ⇒ q ; where p = 432,802 is a multiple of 4 and q = 432,802 is evenp q p ⇒ q hence statement is trueF T T
C) 5 is a prime number and 6 is not divisible by 4
simple proposition : it is a compound statementsymbolic form ; p ∧ qwhere p = 5 is a prime number and q = 6 is not divisible by 4
statement is trueD) 3 ∈ Z and 3 ∈ Q
simple proposition : it is a compound statementsymbolic form : p ∧ qwhere p = 3 ∈ Z and q = 3 ∈ Q
statement is trueE) 2 / 3 ∈ Z and 2 / 3 ∈ Q
simple proposition : It is a compound statementsymbolic form : p ∧ qwhere p = 2 / 3 ∈ Z ( false ) and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false
statement is falseF) The sum of two even integers is even and the sum of two odd integers is odd.
simple proposition : It is a compound statementsymbolic form : p ∧ qwhere p = The sum of two even integers is even and q = the sum of two odd integers is odd.
statement is falsePLEASE HELP
I WILL GIVE BRAINLIST
Answer:
64
Step-by-step explanation:
cut triangle on right then on left you have 4x4 and then for right you have 2x2 then multiply them together and get 64
what are three things in Canada measured in metric system
Answer:
meter,liter and gram metric system
Answer:
The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.
One teacher wants to give each student 13/8 slices of pizza. If the
teacher has 22 slices of pizza, then how many students will she be able to
hand out pizza to?
HELP
Answer:
I think it's 18 students
Step-by-step explanation:
I used division. Hope this helps
Match each simplified form to it's equivalent radical expression. Tiles: 4√3, 3 3√2, 2 3√3, 3√5
Pairs
3√24
√48
3√54
√45
Answer:
Step-by-step explanation:
Given the following simplified expressions:
4√3, 3 3√2, 2 3√3, 3√5
It's radical equivalent is :
4√3 = √4² * √3 = √16 * √3 = √16*3 = √48
3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18
2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27
3√5 = √3² * √5 = √9 * √5 = √9*5 = √45
Answer:
answer attached
Step-by-step explanation:
hope this helps!
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below: Step 1: 8+12x Step 2: 4(4) +4(8x) Step 3: 4(4+8x) Step 4: Dimensions of the rectangle are 4 and 4+8x In which step did the student first make an error and what is the correct step?
a. Step 2;4(2)+4x(2)
b. Step 2;4(2)+4(3x)
c. Step 3;4+(4+8x)
d. Step 3;4+(4•8x)
PLEASE LEAVE EXPLENATION!! :)
Answer:
Step (2) is incorrect.
Step-by-step explanation:
The area of a rectangle is given by :
A = length × width
Area = 8+12x
Width = 4
Step 1: 8 + 12x
Step 2: 4(2) + 4(3x)
Step 3: 4(2 + 3x)
Step 4: Dimensions of the rectangle are 4 and 2 + 3x.
It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).
Which graph represents this system of equations?
y + 2x = 3
y + 2 = 3x
Answer:
The options are not given, so i will answer in a general way.
First, we have the system:
y + 2*x = 3
y + 2 = 3*x
To graph this system, the easier way is writing both equations as linear equations, like:
y = -2*x + 3
y = 3*x - 2
Now we just need to graph these two lines in the same coordinate axis.
To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.
For example, for the first equation if we have x = 0, we have:
y = -2*0 + 3
y = 3
Then we have the point (0, 3)
and if x = 1
y = -2*1 + 3 = 1
y = 1
we have the point (1, 1)
Now we only need to graph these points, and draw a line that passes through them.
Once we did this for both lines, the graph we will get will look something like the one above.
And the point where the lines intersect is the solution of the system of equations.
Which is the point (1, 1)
Please help!!! 10 points for it!!
Answer:
Step-by-step explanation:
x = 180 - ((180-96)+(180-130))
x = 180 - (84+50)
x = 46°
Answer:
x = 46 degrees
Step-by-step explanation:
180 - 130 = 50
180 - 96 = 84
50 + 84 = 134
180 - 134 = 46
IF U KNOW IT
Kai buys 6 fiction books and 4 nonfiction books.
What is the ratio of fiction books to nonfiction books?
2 : 3
2 : 10
3 : 10
3 : 2
Answer: 3:2
Step-by-step explanation:
This is correct because 3:2 is equal to 6:4. 3:2 is 6:4 divided by 2.
Hope this helps ;)
Answer:
3:2
Step-by-step explanation:
Fiction to non-fiction.
6:4
Now, simplify. Divide both by 2.
6/2=3
4/4=2
3:2 is the ratio.
f(x)=-x^(2)-2x-5 , -5
Step-by-step explanation:
Needs more detail unable to answer
it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?
Maggie earns $20 each time she babysits. If she babysits 8 times, how much money did she earn?
The solution is
Answer:
160 minutes
Step-by-step explanation:
20 every time
8 times
20 times 8 = 160
PLZ SOLVE PIC ATTACHED BELOW
Answer:
[tex] \tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}[/tex]
★ Value of x is 8.1.[tex] \sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}[/tex]
★ Value of H is 12.8676.Remember:
tan∅=Perpendicular/Basesin∅=Perpendicular/HypotenuseWhich power of 2 is equal to the expression below?
____________________
| |
| (23)-2 |
|____________________|
A.) 25
B.)2-1
C.)21
D.)2-6
etj.
Which of the following is equivalent to
E+f/a-d =b/a
Answer:
a is the answerStep-by-step explanation:
to understand thisyou need to know about:cross multiplicationPEMDASgiven:[tex] \frac{e + f}{a - d} = \frac{b}{a} [/tex]let's solve:[tex]step - 1 : define \\ \frac{e + f}{a - d} = \frac{b}{a} \\ step - 2 : cross \: multiplication \\ b(a - d) = a(e + f)[/tex]
The equivalent expression of (e+f)/(a-d) = b/a is a(e+f) = b(a-d). The correct option is A.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression (e+f)/(a-d) = b/a.
To find the equivalent expression:
(e+f)/(a-d) = b/a
Using cross multiplication,
a × (e+f) = b × (a-d)
Simplifying,
a(e+f) = b(a-d).
In order to solve further, we can use the PEMDAS method.
ae + fa = ba - bd.
Therefore, a(e+f) = b(a-d) is an equivalent expression.
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Norma and Jane go to the store to buy stocking stuffers. Norma spends $8 more than Jane. Total, Norma and Jane spend $52. How much did each girl spend?
Answer:
Norma spent $30
Jane spent $22
How many phone numbers (without area codes) are possible? The first digit cannot be 0 or 1.
Answer:
Step-by-step explanation:
For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).
For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).
Choose 6 of them. Repetition is allowed, and order matters.
There are 10⁶ possible choices.
There are 8×10⁶ possible phone numbers.
HELP HELP HELP HELP PLEASE PLEASE !!!!!
Answer:
Correct answer would be 84/12=7
Step-by-step explanation:
Reason being , Its asking the "product" Of Julies score (7)
If you divide 84 /7 it will be =12
since its already giving you what its equal you would flip it and it would be 84/12
Given O that is the center of the circle below, compare the quantity in column A with the quantity in column B.
Choose the best answer
A.The quantity in column A is greater
B.The quantity in column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
Answer:
the answer is b
Step-by-step explanation: edge 2020
Answer:
C. The two quantities are equal
Step-by-step explanation:
Edge 2020 2021
Can someone Help me please ?
9514 1404 393
Answer:
1) c, f
2) a, e
3) b, d
Step-by-step explanation:
If you think about the units associated with a coordinate (feet, for example), then you may recognize the following
a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).
__
b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).
__
c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).
|-3/4+1/8|- (2/3+1/6)
Answer:
-5/24
Step-by-step explanation:
-3/4 = -6/8
-6/8 + 1/8 = -5/8
|-5/8| = 5/8
2/3 = 4/6
4/6 + 1/6 = 5/6
5/8 - 5/6 = 15/24 - 20/24
15/24 + (-20/24) = -5/24
please help me in this homework :)
Answer:
la distancia que hay entre ellos es de 50+30=80km
Step-by-step explanation:
An employee works 22 days per month. If they work an average of 844 hours per day, how
many hours do they work per month?
Answer:
the answer is 181 2/4 OR 181 1/2 hours a month.
Step-by-step explanation:
Pretty simple hoped I helped sir or madame
Jasmine and Richard are arguing about which expression represents the sum of (6x - 3y) and (x + y). Richard says it is 7x - 2y but Jasmine says it is 7x - 4y. Who is right? Explain.
Answer:
Richard 7x-27
Step-by-step explanation:
6x-3y + x+y
Solve the system of equations, y = x – 3 and y = –2x + 6, using the substitution method.
(no answer choices)
Answer:
x=9
Step-by-step explanation:
-2x+6=x-3
-1x+6=-3
-1x=-9
divide both sides by -1
x=9
hope this helps
Answer:
(3, 0)Step-by-step explanation:
Given system:
y = x – 3 and y = –2x + 6Substitute y and solve for x:
x - 3 = -2x + 6x + 2x = 6 + 33x = 9x = 3Find y:
y = x - 3 = 3 - 3 = 0Solution is:
(3, 0)Giovanni started a new job and decided to open a bank account with $10. Each week he will deposit $8 from his pay to the account. Which of the following recursive formulas can be used to model the total amount of money in Giovanni's account?
Answer:
an=an−1+10, where a1=8
Step-by-step explanation:
it is
Answer:
an=an−1+10 , where a1=8
Step-by-step explanation:
I just took the test and I got it right!! :)
The graph of the reciprocal parent function, f(x) = 1, is shifted 5 units up
and 8 units to the left to create the graph of g(x). What function is g(x)?
Answer:
A. 1/(x + 8) + 5.
Step-by-step explanation:
Staring with 1/x a shift up of 5 units makes it 1/x + 5.
A shift of 8 to the left makes it 1/(x + 8) + 5