Find two positive numbers such that the sum of the first and twice the second is 200 and their product is a maximum.

Answers

Answer 1

Answer:

20 and 90

Step-by-step explanation:

20 + 2(90) = 200

20 + 180 = 200

200 = 200

20 × 2(90)

= 20× 180

= 3,600


Related Questions

Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the store and can give her an additional 10% off. If the sales tax is 7.5%, how much does Claire pay for the dress?
a.
$93.24
b.
$103.20
c.
$108.36
d.
$120.40

Answers

Answer:

Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the store and can give her an additional 10% off. If the sales tax is 7.5%, how much does Claire pay for the dress?

a.$93.24 b.$103.20 c.$108.36 <<<<CORRECT d.$120.40    Step-by-step explanation: Edge 2021

Answer:

C

Step-by-step explanation:

Todd and his wife are having company for dinner so he is tasked with stopping at the store to buy creamer for coffee and something for dessert. The creamer is in the far left corner of the store. As Todd is walking back to get the creamer he sees a sign for cookies that says “Just like grandma used to bake”, and the bag has a picture of a woman that reminds Todd of his grandmother. Todd buys the cookies for dessert.
Todd’s purchase was least likely a result of _____.

a.
the location of the creamer
b.
the location of the display
c.
the packaging of the cookies
d.
his shopping budget

Answers

Answer:

I think it is D because it says LEAST LIKELY a result so I would think that it is not because his shopping budget

Answer:

D

Step-by-step explanation:

<3

What is the midpoint of (1, 8) (9, 6)

Answers

Answer:

(5,7)

Step-by-step explanation:

x = 1 + 9 / 2 = 5 and y = 8 + 6 / 2 = 7

So the coordinate is (5,7)

Please help me with this question

Answers

Answer:

D would be your answer please mark as brainlest you press the crown button at bttom on me when sombody else answers too

Step-by-step explanation:

have a nice week

[o]-[o]

\___/

Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.

Required:
a. Find a real-world situation that can be represented by a sinusoidal function. You may find something online that represents a sinusoidal graph or you can create a sinusoidal graph yourself with a measuring tape and a rope.
b. Provide a graph complete with labels and units for the x- and y-axes.
c. Describe the amplitude, period, and vertical shift in terms of the real-world situation.

Answers

Answer:

a. An example of a real situation that can be represented by a sinusoidal function is a Ferris wheel

b. The graph of the sinusoidal function representing the Ferris wheel created with Microsoft Excel is attached

c. The amplitude is the radius of the Ferris wheel

The period is the time it takes to complete one cycle

The vertical shift is the height of the wheel above ground

Step-by-step explanation:

Solve. Remember to insert units when writing your answer. A carpenter needs to cut a board into fourths. If the board is 32 ft 8 in. long originally, how long will each cut be?​

Answers

Answer:

[tex]Each\ cut = 8ft\ 2in[/tex]

Step-by-step explanation:

Given

[tex]Length = 32ft\ 8in[/tex]

[tex]Cuts = 4[/tex]

Required

Determine the length of each cut

This is calculated by dividing the total length by the number of cuts.

So, we have:

[tex]Each\ cut = \frac{Length}{Cuts}[/tex]

[tex]Each\ cut = \frac{32ft\ 8in}{4}[/tex]

Split:

[tex]Each\ cut = \frac{32ft}{4} + \frac{8in}{4}[/tex]

[tex]Each\ cut = 8ft+ 2in[/tex]

[tex]Each\ cut = 8ft\ 2in[/tex]

150% as a simplified fraction

Answers

Answer:

It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%

Step-by-step explanation:

Ava's Ice Cream Shop sold 25 sundaes with nuts and 3 sundaes without 10
nuts. What is the ratio of the number of sundaes with nuts to the number
of sundaes without nuts? *

Answers

Answer:

7:5 or 5:7

Step-by-step explanation:


[tex] \sqrt{x - 1} (x - 6) {}^{2} [/tex]
inflection points?​

Answers

Answer:

1 and 6

Step-by-step explanation:

it is just like the roots of a polynomial, since [tex]\sqrt{x-1}[/tex](x-6)^2=0

we can separate the two pieces of the problem

\sqrt{x-1} =0

square both sides to get

x-1=0.   x=1

(x-6)^2=0

square root both sides and get

x-6=0

x=6

so the two inflection points of the equation are 6 and 1

Hope that helps :)


I need help please it’s due tomorrow

Answers

Answer:

<E(it is obtuse), <C, <D

The angle opposite to the longer side is greater than the angle opposite to the shorter side

^^for the second one use the same logic <C, <B, <A

Given the function f(x) = 4x + 1, EXPLAIN and show how to find the average rate of change between x = 1 and x = 3.

Answers

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Therefore the slope, or the average rate of change, between these points is 2.

Average rate of change is another word for the slope. The function you have is presented in slope-intercept form (y=mx+b), where m=your slope. This means that you already know the slope, which is 4.

Just in case you need to show why the slope = 4, I’ll leave how to find it here:

To find the slope, use the formula: y2-y1/x2-x1

First, you need to find the y-values at x=1 and x=3. To do this, plug the x-values into the equation. The value you end up with is your y-value.

f(1) = 4(1) + 1 = 5
f(3) = 4(3) + 1 = 13

So your two points are (1, 5) and (4, 13). Now plug these points into the slope formula

m = (13-5)/(3-1) = 8/2. 8 divided by two is 4, so your average rate of change is 4. You can double check this by graphing.

Factor
x^3+8x^2+11x-20

Answers

Answer:

it would be: (x-1)(x+4)(x+5)

Step-by-step explanation:

to solve factor the polynomial using the rational roots theorem.

Solve the question below

Answers

Answer:

name as AB =CD

angle A=angle D

BC=BC

hence angle ABC is congruent to angle BCD

(by sas congruency)

hence proved

Brooklyn's family took a road trip to Mount Rushmore. Brooklyn fell asleep 72% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Brooklyn fell asleep?

Answers

Answer:

13

Step-by-step explanation:

plus 2 = 11 = 13

Answer:

The correct answer is 288

Step-by-step explanation:

72% of 400 is 288 you can do that in a calculator its common sense, its not 13.

What is the answer I need to know

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

.

Complete the ratio table

Answers

Answer:

Sugar | Flour

¼ | 1

½ | 2

⅝ | 2½

4 | 16

Step-by-step explanation:

¼ part of sugar = 1 part flour (given)

Ratio of sugar to flour = ¼ : 1

Use this proportion to complete the table.

✔️Sugar to flour = ¼ : 1

½ : x = ¼ : 1

½/x = ¼/1

cross multiply

x*¼ = 1*½

x/4 = ½

Multiply both sides by 4

x = ½*4

x = 2

✔️Sugar to flour = ¼ : 1

x : 2½ = ¼ : 1

x : ⁵/2 = ¼ : 1

x/⁵/2 = ¼/1

Cross multiply

x*1 = ¼*⁵/2

x = ⅝

✔️Sugar to flour = ¼ : 1

4 : x = ¼ : 1

⁴/x = ¼/1

Cross multiply

x*¼ = 1*4

x/4 = 4

Multiply both sides by 4

x = 4*4

x = 16

Cuál es el valor de 3/2? es para una tarea :(​

Answers

Answer:

1.5

Step-by-step explanation:

Tienes que dividir 3/2 y es 1.5

wn
he quantity
8. 25% of 32.4​

Answers

Step-by-step explanation:

25 percent of 32.4 is 8.1

Answer:

8.1

Step-by-step explanation:

.25x32.4=8.1

how far did we jump to go from 17 to 20
r=26-17
17+r=26​

Answers

Answer:

Both are correct!

Step-by-step explanation:

if R = 26 - 17 = 9

now the next one

17 + R = 26

Same thing as R = 26 - 17 = 9

Both are correct :)

Bob took his family out to lunch. He bought 3 hot dogs and 2 hamburgers for $11. If the guy in front of him bought 2 hot dogs and 4 hamburgers for $16, what is the cost of one hamburger?

Answers

Answer:

Hotdog: $1.50

Hamburger: $3.25

Step-by-step explanation:

You write down the 2 equations based off of the information as I did:

Let x = cost of a hotdog

Let y = cost of a hamburger

and so:

3x + 2y = 11

2x + 4y = 16

Now, we need to find x and y:

We will make both equations equal to y to compare them to each other.

2y = 11 - 3x

y = 5.5 - 1.5x

4y = 16 - 2x

y = 4 - 0.5x

4 - 0.5x = 5.5 - 1.5x

x = $1.5

Now plugging in x into the equation:

2(1.5) + 4y = 16

3 + 4y = 16

4y = 13

y = $3.25

And so hotdog = $1.5 and hamburger = $3.25

Find the area of the figure.
The area is
square units.

Answers

Answer:

36 square units

Step-by-step explanation:

split the figure so that it's a triangle and a rectangle. Find the area of the rectangle (base x height or 6 x 4), which is 24 square units. Then, find the area of the triangle ((base x height)/2 or (6 x 4)/2), which would be 12 units. Then add those units up (24 + 12) and you get 36.

50 points decreased by 26% is __________ points.

Answers

37% I believe.

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

The measure of a smaller angle =


find a =

find c =

Answers

A= 48
C= 132

Hope it’s right
Best luck with your studying

In two or more complete sentences compare the number of xintercepts in the graph of f(t)=t^2 to the number of x-intercepts in the graph of g(t)=(t+3)^2

Answers

Answer:

f(t)=t^2 rests at (0/0) and grows upwards, so there is only a single x-intercept. g(t)=(t+3)^2 is f moved 3 to the left, so it also only has one intercept but at (-3,0).

Step-by-step explanation:

is it rigt ghghghghghghghghghghgh

Answers

Answer:

nope, the answer is the one above the one you chose

PLZ ANSWER I WILL MARK BRAINLISTToni practices the piano 6 days a week.
The table shows the total number of hours she practiced one week.
Complete each statement.
Days
Practice Time (h)
Over 2 days, Toni practiced
2
1
hour per day
4.
3
6
5
5

Answers

Over two days she practiced 1/2 or .5 hour per day

Over 2 days Toni practiced 1 hour practicing the piano.

What are the types of representing data?

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

Given, A table that shows the total number of hours Toni practiced piano in one week.

From the given table Toni practiced 1 hour over 2 days.

learn more about the representation of data here :

https://brainly.com/question/19126310

#SPJ2

According to exponent rules, when we divide the expressions we _______ the exponents.

Multiply

Subtract

Divide

Add

Answers

Subtract :) Hope this helps

Write the equation

Please help!

Answers

Answer:

y=3x-8

Step-by-step explanation:

Y=3x-8 for your equation

Factor: 16m+8n-3 pls now

Answers

but u can’t factor this anymore, there’s no like terms , this is the final form

Did i get this right?
Am trying to find the area​

Answers

Answer:

Yea If im correct then you are

Step-by-step explanation:

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