Let's look at an example.
We'll add the fractions 1/6 and 1/8
Before we can add, the denominators must be the same.
To get the denominators to be the same, we can...
multiply top and bottom of 1/6 by 8 to get 8/48multiply top and bottom of 1/8 by 6 to get 6/48At this point, both fractions involve the denominator 48. We can add the fractions like so
8/48 + 6/48 = (8+6)/48 = 14/48
Add the numerators while keeping the denominator the same the entire time.
The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.
14/2 = 748/2 = 24The fraction 14/48 reduces to 7/24
Overall, 1/6 + 1/8 = 7/24
Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x^2 from (−1, 2) to (0, 0)
(a) find a function f such that f = ∇f.
f(x, y) =
(b) use part (a) to evaluate c ∇f · dr along the given curve C.
(a) If there is a scalar function f(x, y) such that ∇ f(x, y) = x² i + y² j, then
∂f/∂x = x²
∂f/∂y = y²
Integrating both of these equations with respect to x and y (respectively) gives
f(x, y) = 1/3 x³ + g(y)
f(x, y) = 1/3 y³ + h(x)
Differentiating with respect to the other variable gives
∂f/∂y = g'(y) = y²
∂f/∂x = h'(x) = x²
so it follows that
f(x, y) = 1/3 x³ + 1/3 y³ + C
for some constant C.
(b) By the gradient theorem,
[tex]\displaystyle \int_C \nabla f \cdot d\vec r = f(0,0) - f(-1,2) = \boxed{-\dfrac73}[/tex]
-5x + 7y = -3
-3x - y = 19
Answer:
x=-5, y=-4
Step-by-step explanation:
to solve this system of equations, first multiply the second equation by 7 to get -21x-7y=133. this allows for the y terms in both equations to cancel once you add the two equations together.
adding these together, the y term cancels and you are left with -26x=130. so dividing both sides by -26 will get x=-5. then plug this x value back into either original equation (i chose -3x-y=19) so solve for y.
-3(-5)-y=19 so -y=4 so y=4
so the answer to the system of equations is x=-5 and y=-4
A family of 6 used 5400l of water in 7 days. Each member of the family used the same amount of water each day. How many litres of water did each person use in a day?
Answer:
Hello! The answer for this is 900 liters a day
Step-by-step explanation:
Interest: Tutorial
Question
Calculate the interest earned on each simple-interest account given the original principal, annual interest rate, and the length
of time the account was held. Match each amount to the corresponding account description.
Drag each tile to the correct box. Not all tiles will be used.
Tiles
$41.85
$55.80
$36.24
$45.45
$48.00
$46.35
Pairs
$500 at 3.2% for 3 years
$450 at 3.1% for 4 years
$515 at 3% for 3 years
Answer:
$48.00$55.80$46.35Step-by-step explanation:
In each case, the answer is the product of the three given numbers.
i = Prt
a) $500×0.032×3 = $48.00
b) $450×0.031×4 = $55.80
c) $515×0.03×3 = $46.35
Choose the number that makes the statement true: -5>?
a. 9
b. -9
C. -3
d. 3
Answer: This is B.) -9
Step-by-step explanation:
Step-by-step explanation:
All of those numbers are greater than -5 except for B.
A graph, a table and equation are shown below. Please help!
Answer:
A) slope is 1
B) Slope is 3
C) slope is 0.5
Step-by-step explanation:
Using Rise over run method and mx+b
identify a possible explicit rule for the nth term of the sequence 9, 17, 25, 33, 41
Answer:
The explicit formula for the nth term of the sequence is [tex]a_n=9+8(n-1)[/tex]
Step-by-step explanation:
Recall:
The explicit formula for a sequence is [tex]a_n=a_1+(n-1)d[/tex] where [tex]a_n[/tex] is the [tex]n[/tex]th term, [tex]a_1[/tex] is the first term, and [tex]d[/tex] is the common difference
Given:
First term --> [tex]a_1=9[/tex]
Common Difference --> [tex]d=8[/tex]
Substitute:
[tex]a_n=9+(n-1)(8)[/tex]
[tex]a_n=9+8(n-1)[/tex]
Help please and thanks
Answer:
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
Step-by-step explanation:
Consider the figure
We have
[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]
[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]
[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
f(x) = 11 – 5x for f(9)
A.-46
B.-44
C.44
D.45
Answer:45
Step-by-step explanation: math solver
Answer:
the answer is not there. the answer is -34
Step-by-step explanation:
11-5(9) . 11-45
If 3(x − 2) = −7, then x =?
Answer:
-5 2/3
Step-by-step explanation:
is 3(x-2) = -7 then it's same as 3x-6=-7
We simplify this by adding 6 and subtracting 6.
Our result is
3x=-17
-17/3=-5 2/3
1985 x 99 I already know the answer: 196515
Answer:
196515
Step-by-step explanation:
Answer:
196515
Step-by-step explanation:
2 squared all divided by 4
please
Answer:
think answer is 0.5 each
Please help me with this question. I will mark you brainliest.
Answer:
Option D : $153
This is how I got that:
9:30 AM to 1:15 PM = 3 hours and 45 minutes
The first hour charges $15 and for the remaining 2 hours and 45 minutes
Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.
So our total for one paddle boat is $51
But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:
Mr. Anand must pay $153 or Option D
~That's All Folks~
-Siascon
3. A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth (1/5)off
the original price. If an item is marked with the original price of $175, what is the sale price? Show your
work.
Step-by-step explanation:
1/5 of 175
=1/5×$175
=$35
sale price = original price - discount price
= $175 -$35
= $140
How much pizza will each person get if 4 people share
of a pizza equally?
A)1/3
B)1/4
C)1/6
D)3/16
Answer: B)1/4
Step-by-step explanation: If you divide a pizza into 4 pieces, each person will get a fourth of the pizza.
what is the product of -2/7 and -3/7?
Answer:
6/49
Step-by-step explanation:
2/7 * 3/7
2 * 3/ 7 * 7
3 * 3/7¹⁺¹
2 * 3/7²
6/49
Answer:
D
Step-by-step explanation:
Juan has 6 times as many baseball cards as Nick. If Juan has 192 cards, how many does Nick have?
32
Step-by-step explanation:Divide 192 by 6, to find the amount of baseball cards Nick has.
192 ÷ 6 = 32
Check:32 · 6 = 192
192 ÷ 6 = 32
Nick has 32 baseball cards, which is 6 times less than Juan's amount.
TRUE OR FALSE
There are whole numbers that are not integers.
There are rational numbers that are not whole
numbers.
All rational numbers are integers.
All whole numbers are rational numbers.
ANSWERS:
[tex]1. False \\ 2. True \\ 3. False \\ 4. True \\ [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
20% percent tip on 8 dollar
Answer:
9.60 dollars tip is $1.60
Step-by-step explanation:
Which equation has the same solution as w / 3.9 = 3? A. w+0.6=1.9 B. w-0.6 = 11.1 C. w+1.03=2.93 D. w-1.03=8.24
The equation has the same solution as w / 3.9 = 3 is w+0.6=1.9
Given:
w / 3.9 = 3
cross multiply
w × 3 = 3.9
3w = 3.9
divide both sides by 3
w = 3.9 / 3
w = 1.3
Check all that applies
A. w+0.6=1.9
w = 1.9 - 0.6
w = 1.3
B. w-0.6 = 11.1
w = 11.1 + 0.6
w = 11.7
C. w+1.03=2.93
w = 2.93 - 1.03
w = 1.9
D. w-1.03=8.24
w = 8.24 + 1.03
w = 9.27
Therefore, the equation has the same solution as w / 3.9 = 3 is w+0.6=1.9
Learn more about equation:
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MAX POINTS!!! Where did I go wrong? Please explain where I went wrong and redo it.
Answer:
Ms. I am sure that you are already correct
Alex can make 3 pies in 4 hours. At this rate, how long will it take him to make 15 pies?
Answer
To make 15 pies, it will take Alex 20 hours
Step-by-step explanation:
3 x 5 = 15 pies
4 x 5 = 20 hours
pls help im gonna fail geometry:(
(4 points) Given two lengths of a triangle 2.2 ft. and 3.2 ft. which inequality will give all the
possible lengths of the third side, s?
A 2.2 ft < s <3.2 ft tabclft < s < 5.4 ft
B 2.2 ft < s < 5.2 ft
1326
Answer:
its ether a or d
Step-by-step explanation:
ps (id like to tell you the exact answer but that would be considered plagerism and i dont want anyone to receive the consenquesnces of that. I hope you understand and that this helps you)
The following system of equations will be used to answer all remaining questions.
(8 - 12)
x + 2y = 11
2x + 3y = 18
=
Write the system as a matrix equation then identify the coefficient matrix.
The given equation above written in the form AX = b will be;
[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]
Given the system of equation;
x + 2y = 11 2x + 3y = 18This equation can be represented in matrix form as [tex]AX = b[/tex]
where:
A is the coefficient of the matrixX is the variablesb is a column matrixThe given equation above written in the form AX = b will be;
[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]
Learn more on equation matrix here: https://brainly.com/question/11989522
find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)
Answer:
Step-by-step explanation:
x²+y²-2x-10y+1=0
compare with x²+y²+2gx+2fy+c=0
center is (-g,-f)
radius=√(g²+f²-c)
2g=-2
g=-1
2f=-10
f=-5
radius=(1,5)
c=1
let eq. of circle be x²+y²-2x-10y+c=0
∵ it passes through (2,-3)
2²+(-3)²-2(2)-10(-3)+c=0
4+9-4+30+c=0
c=-39
eq. of circle is is x²+y²-2x-10y-39=0
Please help!!!! Will give brainliest!!!!
Answer:
it is c
Step-by-step explanation:
SOMEBODY HELP NO LINKS PLZ AND THANK YOU
given the table below which function shos an exponential function
table
x f(x) g(x) h(x)
1 64 65 5
2 32 54 7
3 16 43 10
4 8 32 14
A f(x)
B g(x)
C h (x)
D none of the above
What is with simplifying
-3p + 6p
Answer:
-3p+6p=3p
Step-by-step explanation:
It's just like saying -3+6,
but just with the p.
-3+6=3
therefore the answer is 3p
A gardener measures the dimensions of a rectangular garden that is 9 meters wide by 12 meters long. If the gardener draws a blueprint of the garden, where each meter is equivalent to
inch, which statements are true?
Select ALL that apply.
The area of the blueprint is square inches
The area of the blueprint is 108 square inches
The length of the blueprint is 6 meters
The perimeter of the blueprint is 28 inches.
The width of the blueprint is 8 meters
Calculator
Answer:
Catalog Name:*Shimmering Chic Earrings*
Base Metal: Alloy
Plating: Gold Plated
Stone Type: Cubic Zirconia/American Diamond
Type: Jhumkhas
Multipack: 1
Easy Returns Available In Case Of Any Issue
*Proof of Safe Delivery! Click to know on Safety Standards of Delivery Partners- https://ltl.sh/y_nZrAV3
The statements are true:
The area of the blueprint is square inches
The area of the blueprint is 108 square inches
What is Area of rectangle?The Area of Rectangle is product of its length to its width.
So, Area of Rectangle = length x width
Given:
length= 12 inch
and width= 9 inch
Area of Blue print = l x w
= 12 x 9
= 108 square inches.
Perimeter of Blue print = 2 ( l+ w)
= 2( 12+ 9)
= 42 inches
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10. Find three consecutive even integers such that the product of the first and the second is 92 more
than twice the third integer.
Answer:
10, 12, 14 or -10, -8, -6
Step-by-step explanation:
We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...
(x-2)(x) = 92 +2(x+2)
x^2 -2x = 92 +2x +4 . . . eliminate parentheses
x^2 -4x = 96 . . . . . . . . . subtract 2x
x^2 -4x +4 = 100 . . . . . . add 4 to complete the square
(x -2) = ±√100 = ±10 . . . take the square root
x = 2 ± 10 = -8 or +12 . . . . add 2
The three integers might be ...
-10, -8, -6 or 10, 12, 14