Answers
Answer:
101+102+103+104+105= 515
Step-by-step explanation:
the fifth number is counting by 5 each time so you can just count by 5s till you reach 21: 5 (1),10 (2),15 (3),20 (4),25 (5) and so on then once you reach 21 which is 105 you count back from 105 to find the first number then add them all together. This is a simple non-equation solution, I'm sure if I sat there for more than 2 minutes I could think of an equation but it's easier this way, and the problem doesn't require it.
Related Questions
Use a mutiplication strategy to solve 12x12.
Answers
Answer:
144
Step-by-step explanation: Hope this helps
Answer:
144
Step-by-step explanation:
Use the method of lagrange multipliers to find
a. The minimum value of x+y, subject to the constraints xy=196, x>0, y>0
b. The maximum value of xy, subject to the constaint of x+y=196
Answers
Answer:
a) The function is: f(x, y) = x + y.
The constraint is: x*y = 196.
Remember that we must write the constraint as:
g(x, y) = x*y - 196 = 0
Then we have:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x + y + λ*(x*y - 196)
Now, let's compute the partial derivations, those must be zero.
dL/dx = λ*y + 1
dL/dy = λ*x + 1
dL/dλ = (x*y - 196)
Those must be equal to zero, then we have a system of equations:
λ*y + 1 = 0
λ*x + 1 = 0
(x*y - 196) = 0
Let's solve this, in the first equation we can isolate λ to get:
λ = -1/y
Now we can replace this in the second equation and get;
-x/y + 1 = 0
Now let's isolate x.
x = y
Now we can replace this in the last equation, and we will get:
(x*x - 196) = 0
x^2 = 196
x = √196 = 14
then the minimum will be:
x + y = x + x = 14 + 14 = 28.
b) Now we have:
f(x) = x*y
g(x) = x + y - 196
Let's do the same as before:
L(x, y, λ) = f(x, y) + λ*g(x, y)
L(x, y, λ) = x*y + λ*(x + y - 196)
Now let's do the derivations:
dL/dx = y + λ
dL/dy = x + λ
dL/dλ = x + y - 196
Now we have the system of equations:
y + λ = 0
x + λ = 0
x + y - 196 = 0
To solve it, we can isolate lambda in the first equation to get:
λ = -y
Now we can replace this in the second equation:
x - y = 0
Now we can isolate x:
x = y
now we can replace that in the last equation
y + y - 196 = 0
2*y - 196 = 0
2*y = 196
y = 196/2 = 98
The maximum will be:
x*y = y*y = 98*98 = 9,604
the length of a triangle is 3 centimeters less than twice its width its area is 35 square centimeters find the dimensions of the rectangle use formula area=length*width the width is ?_ the Length is?_
Answers
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
We have:
The length of a triangle is 3 centimeters less than twice its width.Area = 35 cm²We need to find:
Dimensions of the rectangle?Solution:
Let the width be w. Then the length would be:
➝ Length = 2(width) - 3
➝ l = 2w - 3
Area of rectangle: l × b
➝ Length × width = 35 cm²
➝ (2w - 3)w = 35
➝ 2w² - 3w - 35 = 0
Now finding value of x by middle term factorisation,
➝ 2w² - 10w + 7w - 35 = 0
➝ 2w(w - 5) + 7(w - 5) = 0
➝ (2w + 7)(w - 5) = 0
Hence,
w = 5 because width can't be negative.l = 2(5) - 3 = 7Therefore,
Width = 5 cmLength = 7 cm⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
let x represent the rectangle's width;
thus;
Width = x
Length = 2x - 3
Area = 35 sq. cm.
Area = Length × Width
35 = (2x - 3)(x)
35 = 2x^2 - 3x
2x^2 - 3x - 35 = 0
Factorizing:
x = 5 or -3.5
but width is a scalar quantity and cannot be negative:
Hence:
Width = 5 cm.
Length = 2(5) - 3 = 7 cm.
6x = 41
x = 7 to the nearest whole number.
Width = 7 cm.
Length = 2(7) - 3 = 11 cm.
Use the distributive property to remove the parentheses (x+12)8
Answers
Answer:
Using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]
Step-by-step explanation:
We need to use distributive property to remove the parentheses (x+12)8
According to distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
Now, using the above distributive property to solve the given question. Multiply 8 with terms inside the bracket and solving:
[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]
So, using distributive property to remove the parentheses [tex](x+12)8[/tex] we get [tex]8x+96[/tex]
Maricopa's Success scholarship fund receives a gift of $ 75000. The money is invested in stocks,
bonds, and CDs. CDs pay 2.25 % interest, bonds pay 4.4 % interest, and stocks pay 6.5 % interest.
Maricopa Success invests $ 30000 more in bonds than in CDs. If the annual income from the
investments is $ 3610, how much was invested in each account?
Maricopa Success invested $___in stocks.
in bonds.
Maricopa Success invested $___ in bonds.
Maricopa Success invested $____in CDs.
Answers
Answer:
Maricopa's Success invests $25,000 in stocks, $40,000 in bonds, and $10,000 in CDs.
Step-by-step explanation:
a = Stocks
b = Bonds
c = CDs
a + b + c = 75000
b = 30000 + c
a = 75000 - c - 30000 - c = 45000 - 2c
0.065(45000 - 2c) + 0.044(30000 + c) + 0.0225c = 3610
2925 - 0.13c + 1320 + 0.044c + 0.0225c = 3610
0.0635c = 635
c = 10000
So b = 40000 and a = 25000
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?
A) one and ten forty eighths ounces
B) one and three fourteenths ounces
C) two and ten forty eighths ounces
D) two and three fourteenths ounces
(Here is an image if needed) :
Answers
5(7/8) - 4(4/6)
47/8 - 28/6
29/24
1 and 5/24
1 and 10/48
There are 43 children at a school. They want to make teams with 6 children on each team for kickball. Two of the children go home. How many complete teams can they make? Explain.
Answers
Answer:
6 teams
Step-by-step explanation:
They can only make 5 teams with 8 kids on each. 1 child will remain
PLEASE HALP IM TIMES
Answers
Answer:
1,3,4
Step-by-step explanation:
For f(x) =1/x^2-3
find:
(a) f(3) (3 points)
(b) f(2+h) (3 points)
Answers
Answer:
[tex]f(3) = \frac{-26}{9}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{x^2} - 3[/tex]
Required
Find f(3) and f(2 + h)
Solving f(3)
Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(3) = \frac{1}{3^2} - 3[/tex]
[tex]f(3) = \frac{1}{9} - 3[/tex]
Take LCM
[tex]f(3) = \frac{1 - 27}{9}[/tex]
[tex]f(3) = \frac{-26}{9}[/tex]
Solving f(2 + h)
Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]
[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]
Take LCM
[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]
[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]
f(x)=-3x2 + 2x - 7 f(-1)=
Answers
Loading....
Answer: I hope I’m not too late, but the answer is A.) 12
Step-by-step explanation:
1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?
Answers
m = 6 kg, g = 9.8 m/s^2, h = 10m
6 * 9.8 * 10 = 588 J
What is 7y + 15 - 7y - 8?
Answers
Answer:
7
Step-by-step explanation:
7y + 15 - 7y - 8
15 - 8
7
Answer:
7
Step-by-step explanation:
PROBABILTY- Could you help me please?
Answers
Answer:
I think the answer is (c) 3
What is 31; can vary by 7% ?
Answers
9514 1404 393
Answer:
28.83 ≤ x ≤ 33.17
Step-by-step explanation:
7% of 31 is ...
0.07 × 31 = 2.17
When we say the value can vary from 31 by 7%, we usually mean it can go that much lower or higher. For some value x, this means ...
31 -2.17 ≤ x ≤ 31 +2.17
28.83 ≤ x ≤ 33.17
A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________
a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above
Answers
Answer:
b
Step-by-step explanation:
80% +15% +5%=100
15/100= 0.15
5/100= 0.05
therfore
0.15 + 0.05 = number of flaws
=0.20
Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.
The expected number of flaws is a weighted average of the percentages that have flaws:
=∑ (Percentage of flaws x Number of flaws)
The expected number of flaws is therefore:
= (80% x 0) + (15% x 1) + (5% x 2)
= 15% + 10%
= 0.25
In conclusion, you would expected the number of flaws to be 0.25.
Find out more at https://brainly.com/question/13412627.
Butch wanted to buy a book about football. The book was $25.00 new. His friend Jake
told him to check the used book store. The book was $15.00 used. What percentage
was the book marked down?
OA
60%
О В.
40%
O C.
33%
OD.
25%
Answers
Answer:
B) 40%
10 is 40% of 25.
Answer:
40%
Step-by-step explanation:
4^4÷4^7 as a fraction
Answers
Answer: multiply it by the bisector of the photosynthesis.
obviously
Step-by-step explanation:
GIVING OUT BRAINLIST
ASAP
find the sales price:
$89.95 DVD Player, 5% discount.
(Round your number to the nearest cent (hundredths place)
Answers
= 4.4975
89.95 - 4.4975 = 85.45
The sales price is $85.45.
(Also i love the pfp and username!)
In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=2, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.
Answers
Answer:
The area of the shaded region is 3.
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:
[tex]A_s=2 * A_t[/tex]
Where At is the area of each triangle.
[tex]\displaystyle A_t=\frac{AB*BC/2}{2}[/tex]
[tex]\displaystyle A_t=\frac{AB*BC}{4}[/tex]
We know AB=3 and BC=2, thus:
[tex]\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}[/tex]
Simplifying:
[tex]\displaystyle A_t=\frac{3}{2}[/tex]
Finally:
[tex]\displaystyle A_s=2 * \frac{3}{2}[/tex]
[tex]A_s=3[/tex]
The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
if the endpoints of AB are A(-2,3) and B(1,8), which shows the correct way to determine the coordinates of point C,
the midpoint of AB?
Answers
Answer:
(-1/2 , 5/2)
Step-by-step explanation:
=(-2+1)/2,(-3+8)/2
=(-1/2 , 5/2)
please help this question is very difficult ................
Answers
Answer:
[tex]\lim _{x\to \:0}\left(\frac{\sqrt{1+x}+\left(1+x\right)^7-2}{7}\right)\\\\\frac{\sqrt{1+0}+\left(1+0\right)^7-2}{7}\\\\then\ simplify\\=0[/tex]
Step-by-step explanation:
What is an equation in point-slope form of the line that passes through (-7, 1) and (-3, 9)?
A. y+ 3 = 2(x - 9)
B. y- 3 = 2(x + 9)
C. y + 9 = 2(X - 3)
D. y- 9 = 2(X + 8)
Answers
Answer:
Step-by-step explanation:
y+3=2(x-9)
Find the quotient:
7/8
Answers
Answer:
c.) 2 1/3
Step-by-step explanation:
i know
Looking at the histogram, how many students took the exam?
A: 37
B: 14
C: 5
D: 28
Answers
Answer:
(-2, 33) and (5, - 16)?
A. 7x- y=51
B. 7x+ y= -47
C. 7x+ y= -14 D. 7x+y= 19
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
I hope I helped have a great day.
y = 3x - 12x +9
In standard form?
Answers
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
A department store buys 500 shirts at a cost of $4000 and sells them at a selling price of $10 each. Find the percent markup.
Answers
9514 1404 393
Answer:
25%
Step-by-step explanation:
The markup is the difference between the selling price and the cost price.
markup = (500)($10) - $4000 = $1000
Then the percent markup of the cost price is ...
markup/(cost price) = $1000/$4000 × 100% = 25%
The percentage markup was 25%.
YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3
Answers
Answer:
y=5x-3
Step-by-step explanation:
it just is
Answer:
y=5x-3
Step-by-step explanation:
Pls help me don’t make fun
Answers
9. Which of the following equations has NO solution?
A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2
Answers
Answer:
C. a +2 = a - 2
Step-by-step explanation:
a + 2 = a - 2
a + 4 = a
4 = 0
A radius of 8.5m what is the area
Answers
Answer:
22/7 * 8.5 * 8.5 = answer
Answer:
Step-by-step explanation:
A = π r² ≈ 3.14 × (8.5)² = 226.865 m²