Answer: the answer is 3.2 miles
Step-by-step explanation:
The distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A fisherman can row upstream at 1 mph and downstream at 4 mph.
He started rowing upstream until he got tired and then rowed downstream to his starting point.
Let the time of row upstream is x hours
Let the time of row downstream be y hours
From the question:
x + y = 2
x = 2 - y
x = 4y
Solving the above two linear equations by substitution method:
2 - y = 4y
5y = 2
y = 2/5
y = 0.4 hours
Distance = speed×time
Distance = 4×0.4 = 1.6 miles
= 1.6×2 = 3.2 miles
Thus, the distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
The elevation of an airplane changes by-420 feet in 12 seconds. What is the change in the airplane's elevation each second?
Answer:
-35 feet each second
Step-by-step explanation:
Divide -420 by 12:
-420/12
= -35
So, the change in the plane' elevation is -35 feet each second
Answer:
-35 feet per second
-420/12 = -35
Reduce to the simplest form. -9/6 + (-3/5)
Answer:
[tex]-\frac{21}{10}[/tex] or [tex]-2.1[/tex] (they're the same)
Step-by-step explanation:
Simplify: [tex]-\frac{9}{6} + (-\frac{3}{5}) = -\frac{9}{6} - \frac{3}{5}[/tex] Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18Write the new fractions: [tex]-\frac{45}{30} - \frac{18}{30}[/tex] Subtract: -45/30 - 18/30 = [tex]-\frac{63}{30} = -\frac{21}{10}[/tex]I hope this helps!
Answer: -21/10
Step-by-step explanation: khan
A equivalent ratio of 3:7 is?
3:9
6:10
9:12
Answer:
it is none of these options
Step-by-step explanation:
after multiplying it by 1,2 or 3 none of the option comes up
..
El productor del números es 28. Sabiendo que el primer número es 3 unidades menor que el segundo, calcula los dos número
Answer:
Tienes 3 números, "x", "y", "z"
=> El primero es 20 unidades menor que el segundo:
El primero es "x", y el segundo es "y", entonces:
x = y - 20
=> El tercero es igual a la suma de los dos primeros:
El tercero es "z", entonces:
z = x + y
z = (y - 20) + y
z = 2y - 20
=> Entre los tres suman 120
x + y + z = 120
y - 20 + y + 2y - 20 = 120
4y - 40 = 120
4y = 160
y = 40
Si y = 40, entonces:
x = y - 20
x = 20
Además, z = 2y - 20
z= 60
RPTA:
x=20
y=40
z=60
Step-by-step explanation:
Solve the equation vf=vi+at for a
What number must be subtracted from negative 5 for the difference to be negative 2
hope it helps you .
this is the right answer.
please help i’m very confused on this one
Answer:
34.224
Step-by-step explanation:
C(2.76, 310) means you want to evaluate the expression for g=2.76 and d=310. Put those numbers where the variables are and do the arithmetic.
[tex]C(2.76,310)=\dfrac{2.76\cdot 310}{25}=\dfrac{855.6}{25}=\boxed{34.224}[/tex]
GEOMETRY: need some help on these equations, i'm giving a lot of points for this.
Answer:
1) ML=93
2) GE=58
Step-by-step explanation:
1)
We want to find ML.
So, we need to find x first.
Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:
[tex]NM+ML+LK=NK[/tex]
And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:
[tex](110+4x)+(x+103)+(70)=x+243[/tex]
On the left, combine like terms:
[tex](4x+x)+(110+103+70)=x+243[/tex]
Add:
[tex]5x+283=x+243[/tex]
Subtract 283 from both sides:
[tex]5x=x-40[/tex]
Subtract x from both sides:
[tex]4x=-40[/tex]
Divide both sides by 4:
[tex]x=-10[/tex]
So, the value of x is -10.
Substitute this into ML to find it. So:
[tex]ML=(-10)+103[/tex]
Add:
[tex]ML=93[/tex]
And we're done!
2)
Here, we want to find GE. This means solving for x again.
Note that HF plus FE equates to the entire segment.
HG plus GE also equates to the entire segment.
Thus:
[tex]HF+FE=HG+GE[/tex]
Substitute 3x-129 for HF and 4 for FE.
Substitute 13x-993 for HG and 3x-185 for GE. Thus:
[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]
Combine like terms on both sides:
[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]
Add or subtract:
[tex]3x-125=16x-1178[/tex]
Add 1178 to both sides:
[tex]3x+1053=16x[/tex]
Subtract 3x from both sides:
[tex]1053=13x[/tex]
Divide both sides by 13:
[tex]x=81[/tex]
So, the value of x is 81.
To find out GE, GE is the 3x-185. So:
[tex]GE=3(81)-185[/tex]
Multiply:
[tex]GE=243-185[/tex]
Subtract:
[tex]GE=58[/tex]
And we're finished!
You are saving to buy a new phone you have $150 in your bank account and can save $55 each week assuming you don’t spend any money write an expression to represent the amount of money you will have in your bank account after W weeks
Answer:
150+55w
Step-by-step explanation:
150+55w
150 never changes
(55)(w), 55 changes depending on number of weeks
Answer:
The expression is: 150 + 55W
Step-by-step explanation:
amount already in your a/c = $150
Amount saved per week = $55
Number of weeks to save for is W
Amount saved in W weeks is $55W
Total amount saved in W weeks is $150 + $55W
Ignoring the symbols, the expression is 150+55W
- Naya had 48 tickets for games at the school carnival. She used 1/3 of her tickets to play the
spin-the-wheel game. She used 1/2of the remaining tickets to play a balloon game, where
she won 8 more tickets. How many tickets did Naya have after playing these two games?
Answer:
16
Step-by-step explanation:
48/3=16
16/2=8
8+8=16
Simplify : -9c - 15 + 7c + 10 + 2c
Answer:
-5
Step-by-step explanation:
-9c - 15 + 7c + 10 + 2c
-9c + 7c + 2c -15 + 10
-9c + 9c - 5
-5
Answer:
5
Step-by-step explanation:
-9c - 15 + 7c + 10 +2c
-9c + 9c + -15 + 10
5
simpfly the expression -8x-4=-10
Answer:
x = 3/4 would be the correct answer.
Step-by-step explanation:
Add four to both sides
Divide both sides by -8
Simplify 6/8 to 3/4
The midpoint of AB is M(-3,-3). If the coordinates of A are (-8,-2), what are the coordinates of B? Please explain
Step-by-step explanation:
Hey there!!!
Here,
The midpoint of AB is M(-3,-3) and coordinates of A is (-8,-2).
Now,
Using midpoint formulae,
[tex](x,y) =( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )[/tex]
Put all values.
[tex]( - 3,- 3) = ( \frac{ - 8 + x}{2} , \frac{ - 2 + y}{2} )[/tex]
As they are equal, equating with their corresponding elements we get,
[tex] - 3 = \frac{ - 8 + x}{2} [/tex]
Simplify them.
[tex] - 6 = - 8 + x[/tex]
[tex]x = - 6 + 8[/tex]
Therefore, x= 2
Now,
[tex] - 3 = \frac{ - 2 + y}{2} [/tex]
Simplify them.
[tex] - 6 = - 2 + y[/tex]
[tex]y = - 6 + 2[/tex]
Therefore, y = -4.
Therefore, the coordinates of B are (2,-4).
Hope it helps...
Joni has a box that has a mass of 67 dekagrams. She converts this to centigrams. Her work is shown below.
67 dekagrams over 1,000 = 0.067 centigrams
Answer:Joni should have multiplied by 1,000
Step-by-step explanation:
vickiesmith Beginner 1 answer
Answer:Joni should have multiplied by 1,000
3/10 Divided by 3.7
Answer: 3/37
Step-by-step explanation:
Answer:
0.09375
Step-by-step explanation:
Assessment timer and count
Assessment items
Item 15
A floor rug is rectangular in shape. The width of the rug is 3 ft less than its length. The perimeter of the rug is 42 ft.
What are the rug’s dimensions?
Enter your answer by filling in the boxes.
Answer:
its not showing ur question
Step-by-step explanation:
which number is between pi ans the square root of 14
Answer:
3.5
Step-by-step explanation:
pi = 3.14159...
sqrt(14) = 3.74165...
The choices are: 1.5, 2.5, 3.5, 4.5
Of the four choices, the only one between 3.14... and 3.74... is 3.5.
Answer: 3.5
A sample of copper (Cu) contains 69.17% Cu-63. The remaining copper atoms are Cu-65. What is the average atomic mass of copper?
What is the solution to this equation?
X/-2 = 18
O A. X=-36
OB. X=-9
O c. x = 36
O D. x = 9
The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need help pls
Answer:
G=2H+6. -(1)
Also, G and H are supplementary angles which mean their sum would be180.
G+H=180
G=180-H. -(2)
From (1)&(2)
2H+6=180-H
3H=174
H=58
Hope it helps :-)
Matt is four years younger than twice his cousin Andy’s age. The sum of their ages is greater than 35. What is the youngest age that Andy can be?
Answer: 13
Step-by-step explanation:
let m = Matt's age
let a = Andy's
:
Write an equation for each statement
:
Matt is four years younger than twice his cousin Andy’s age.
m = 2a - 4
The sum of their ages is greater than 35.
m + a > 35
What is the youngest age that Andy can be?
replace m with (2a-4) from the 1st statement
2a - 4 + a > 35
3a > 35 + 4
a > 39/3
a > 13
least integer has to be a = 14
:
:
Check, find m
m = 2(14) - 4
m = 24
24 + 14 = 38 greater than 35
If a = 13
m = 2(13) - 4
m = 22
22 + 13 = 35 which is not greater than 35
what is the answer to 6(2x+3)-6
Answer:
12x+12
Step-by-step explanation:
first you distribute the 6 into the parenthesis.
so it becomes:
12x+18-6
Then you solve the common terms:
12x+12
& thats your answer!
Answer:
12x +12
Step-by-step explanation:
6(2x +3) - 6
12x +18 - 6
12x +12
if f(x) = x^2, and
g(x) = x-1, then
g(f(x))=x^__+__
Answer:
(x^2) + (-1)
Step-by-step explanation:
the equation f(x) BECOMES x in the g(x)
x-1
(x^2) -1
Answer:
g(f(x)) = x^2 + (-1)
Step-by-step explanation:
f(x) = x^2
g(x) = x - 1
Therefore, for g(f(x)), we need to substitute the value of x in f(x) in g(x).
Therefore,
g(x) = (x^2) - 1
= (x^2) + (-1)
PLEASE MARK MY ANSWER AS BRAINLIEST!!!!!!0.5444 as a fraction
1361/2500 or 54.44%.
Answer:
49/90
Step-by-step explanation:
x=0.5444....
10x=5.4444....
1x=0.5444....
9x=4.9
x=4.9/9
x=49/90
hope it might help you
Convert 42,670,000 into an estimated power of 10
Answer:
4 x 10^7
Step-by-step explanation:
equals 40,000,000
Solve by elimination:
4x+9y=28
-4x-y=-28
Step-by-step explanation:
4x+9y=28
-4x-y=-28
8y=0
divide both side by 8
y=0
solve for X in equation 1
4(X)-9(0)=28
4x-0=28
4x =28
divide both side by 4
4x/4=28/4
X= 7
y=0,x=7
A grocery store sells a bag of 3 oranges for $2.79. How much would it cost for 4 oranges?
Answer:
$3.72
Step-by-step explanation:
$2.79 divided by 3 equal 0.93.
0.93 times 4 equals 3.72.
Answer:
$3.72
Step-by-step explanation:
Step 1:
$2.79 ÷ 3 = 0.93
Step 2:
0.93 × 4
Answer:
$3.72
Hope This Helps :)
what is 1,016 rounded to the nearest thousand
Answer:
Step-by-step explanation:
1,000
Its the closest from 1000 to 2000
Which function is the inverse of f(x) = 2x+3?
Answer:
f^-1(x)=x-3/2
Step-by-step explanation:
we have f(x)=2x+3
let
y=f(x)
y=2x+3
Exchanges the variables x for y and y for x
x=2y+3
isolate the variable y
2y=x-3
y=x-3/2
let
f^-1(x)=y
f^-1(x)=x-3/2
Answer:
Step-by-step explanation:
The answer is B on Edgenuity
f^-1 (x) = 1/2x - 3/2
Solve for x:
X- 6 = -3x + 22
Answer:
Your answer is x=7
Step-by-step explanation:
[tex]x - 6 = -3x + 22[/tex] add 6 to both sides
[tex]x - 6(+6) = -3x + 22(+6)[/tex] cross out -6(+6) and add 22+6=28
[tex]x = -3x + 28[/tex] add 3x on both sides
[tex]x (+3x) = (+3x)-3x + 28[/tex] x+3x=4x and cross out (+3x)-3x
[tex]4x = 28[/tex] divide 4 on both sides
[tex]\frac{4x}{4} = \frac{28}{4}[/tex] cross out 4 leave x and divide 28 and 4 =7
[tex]x=7[/tex]
Answer:
x=7
Step-by-step explanation: