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:
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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!
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
- 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
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
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
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
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
..
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
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
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
3/10 Divided by 3.7
Answer: 3/37
Step-by-step explanation:
Answer:
0.09375
Step-by-step explanation:
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
what is 1,016 rounded to the nearest thousand
Answer:
Step-by-step explanation:
1,000
Its the closest from 1000 to 2000
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
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
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 :-)
What number must be subtracted from negative 5 for the difference to be negative 2
hope it helps you .
this is the right answer.
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 :)
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?
Convert 42,670,000 into an estimated power of 10
Answer:
4 x 10^7
Step-by-step explanation:
equals 40,000,000
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
Solve the equation vf=vi+at for a
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 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...
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:
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
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:
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:
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!!!!!!