Mathematics College

find two numbers a and b for which a+2b=100 and the product ab is maximized

Answers

Answer 1
a : 100
b : 50

explanation : subtract 2b from both sides

Related Questions

find an antiderivative F(x) with F'(x) = f(x) = 11+(21x^2)+(21x^6) and F(1)=0

Answers

11x + 7x^3 + 3x^7 - 21

Please help me A.S.A.P.

Cheryl deposits 7.500 into the bank. She cannot withdraw or deposit any money for 6 years. She earns 6% interest during that time.

a. How much interest will she have earned at the of 6 years?

b. What will her new balance be when she is finally able to withdraw her money?

Answers

Answer: a. 450

b. 7950

Step-by-step explanation:

If Cheryl earns 6% interest during the 6 years she will have

(7500*6)/100=450

450 is the interest that she received

her new balance will be

7500+450=7950

simplify the equation-6z + (-5.5) + 3.5z + 5y - 2.5?

Answers

Answer:

5

y

−

2.5

z

−

8

Step-by-step explanation:

−

6

z

−

5.5

+

3.5

z

+

5

y

−

2.5

 

Add  

−

6

z

and  

3.5

z

.

−

2.5

z

−

5.5

+

5

y

−

2.5

Answer:

− 25z+5y−8

Step-by-step explanation:

DIFFERENTIATE W.R.T. Z

−2.5

Solve the equation for Y
3y=-6x+1

Answers

y is -2 is the answer for the question

Answer:

6x + 3y = 1

I hope this helps!

While shopping at the mall, Jonathan saw two toys he wanted to buy. The toys originally cost $15.95 and $11.65,
but they were on sale for off the regular price.

Jonathan paid for the toys with a $20 bill. Which expression can be used to determine how much change Jonathan received?

20-1/3(15.95+11.65)

20-((15.95+11.65)-1/3(15.95+11.65))

((15.95+11.65)-1/3(15.95+11.65))-20

1/3(15.95+11.65)-20​

Answers

Answer: B

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

URGENT I ONLY HAVE 5 MINUTES LEFT I WILL GIVE YOU 42 points

Answers

I don’t know sorry :(((

if y varies jointly as x and x = 33 when y = 22, find x when y = 32

Answers

Answer:

answer is 43

Step-by-step explanation:

Jake's mom is making peanut butter cookies with her chocolate chips. In her first batch, she used the ratio of 2:2 for the number of cups of chocolate chips to the number of peanut butter chips. In her second batch she used the ratio of 3:1 for the number of cups of chocolate chips to the number of cups of peanut butter and made the same number of cookies in the first batch. Jake made the following tape diagrams for his mom to reference. If her first batch used 4 cups of peanut butter chips, how many cups of chocolate chip did jakes mom use for the second batch?

Answers

Answer: i need help on this one to

Step-by-step explanation:

Answer:

6 just trust me

Step-by-step explanation:

What is the slope of the line of the equation y = x + 4?

Answers

The slope of the line equations y=x+4 is m=1

Answer:

x

Step-by-step explanation:

bc the coefficient of x is 1 and that's invisible so it's x

PLEASE HELP MEEE!!! What is the experimental probability that Mr. Fell's class rolled a 3?

Answers

Probability = the number of ways of achieving success (getting the desired outcome).

P(E) = event with the desired outcome/total no. of events

P(E) = 7/60

The leg of a right triangle is 3 units and the hypotenuse is 6 units. What is the length, in units, of the other leg of the triangle? (5 points)

Answers

Answer:

a. rad27

Step-by-step explanation:

we can use a2+b2=c2 where c is the hypotonuse.

we plug in 3^2+b2=6^2

9+b^2=36

b^2=27

then do a rad over each to get rid of the ^2 on the b

b=rad 27

answer is rad27

Find the perimeter of a rectangle with the length of 4 cm and a width of 7 cm.

Answers

Answer:

22 cm

Step-by-step explanation:

Hi! Can someone help, please with a cherry on top?

Answers

Answer:

b bbb bbhdixbxidndidjd

if bob and billy went on a date, and had kids even though it is not biologically possible, what is the distance between the sun from john and paul's baby?

please i need a lot of help

Answers

Answer:

who's john?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because A GAY couple can adopt or its hypothetical that they can have a baby obviously

sally has 2/8 cookies in a jar she ate 1/4 how many dose she have left :explain

Answers

Answer:

1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie

Step-by-step explanation: \

1.5: 2 x 3/4 (already ate 1/4) = 1.5

1/16= 1/4 (2/8 reduced)  x 1/4

Identify the solution to the system of equations graphed below.

Answers

There is no solution.
Since the lines are parallel, there are no intersection point; no solution
The answer is not solution the lines are parallel

Please help me with this question

Answers

Answer: 135

Step-by-step explanation:

remember PEMDAS

3^3=27

(27*10)/2=270/2=135

This is a test please help me I have a D on math here’s the question!!

Answers

Ok so Mercury is 300 miles, and Jupiter is 9000, so 9000 divided by 300 is 30, so you could fit 30. In scientific notation it would be 3X10 to the one power. I really hope this help, good luck in math :)

segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the origin. Which statement describes the pre-image?

Answers

Answer:

YZ is located at Y (0, 1) and Z (-2, 1) and is one-third the size of Y'Z'.

Step-by-step explanation:

Since Y'Z' was dilated from the origin at a scale factor of 3, you can divide its X and Y coordinates by 3 to find the coordinates of YZ.

The statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.

What is dilation?

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

The question is incomplete.

The complete question is:

Segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the origin. Which statement describes the pre-image?

segment YZ is located at Y (0, 9) and Z (−18, 9) and is three times the size of segment Y prime Z prime.segment YZ is located at Y (0, 3) and Z (−6, 3) and is the same size as segment Y prime Z prime.segment YZ is located at Y (0, 1.5) and Z (−3, 1.5) and is one-half the size of segment Y prime Z prime.segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime.

As we know, in the dilation image of the two-dimensional figure can be larger or smaller depending on the dilation factor.

We have:
segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3).

After dilation:

Y (0, 1) and Z (−2, 1)

Thus, the statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.

Learn more about the dilation here:

brainly.com/question/13176891

#SPJ5

PLEASE HELP ME!! ITS RLLY EASY!!

Answers

Answer:

i think its the last option

Step-by-step explanation:

Evaluate 6+ 4/a + b/3 when A = 4 and when be = 3

Answers

Answer

8....

Explanation

6+ 4/4 +3/3

In 1983, a hardcover dictionary cost $145.75. If the CPI is currently 209, what would a hardcover dictionary cost today? Round to the nearest cent.

a. $354.75
b. $304.62
$254.75
d. $209.00

Answers

Answer:

b. $304.62

Step-by-step explanation:

Just took the test and got it right

The cost of the hardcoer dictionary today given the CPI is  $304.62.

What is the consumer price index?

The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.

Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62

To learn more about, consumer price index, please check: https://brainly.com/question/26382640

20 pts You have hip-hop dance practice for 5 weeks. You attend practice 5 days each week. Each practice is the same length of time. You practice for 37.5 hours altogether. How many hours do you practice each day?

Answers

Answer:

1.5 hr

Step-by-step explanation:

The number of hours of practice each day is 1.5 hours.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of practice weeks = 5

Number of practice days in a week = 5

The total number of practice days.

= 5 x 5

= 25 days

Total time for 25 practice days = 37.5 hours.

The number of hours each practice day.

= 37.5 ÷ 25

= 1.5 hours

Thus,

1.5 hours of practice each day.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Angle a is 5/3 of Angle b.
Find Angles a and b plz

Answers

Answer:

Angle a = 112.5°

Angle b = 67.5°

Step-by-step explanation:

Angle a + angle b = 180° (Supplementary Angles/angles on a straight line)

Let x = m<b

m<a = ⁵/3(x)

Therefore:

⁵/3x + x = 180

[tex] \frac{5x}{3} + x = 180 [/tex]

[tex] \frac{5x + 3x}{3} = 180 [/tex]

[tex] \frac{8x}{3} = 180 [/tex]

Multiply both sides by 3

[tex] \frac{8x}{3} \times 3 = 180 \times 3 [/tex]

[tex] 8x = 540 [/tex]

Divide both sides by 8

x = 67.5°

Angle a = ⁵/3(x) = ⁵/3(67.5) = 112.5°

Angle b = x = 67.5°

please help with this. I got the first choice when I picked wrong so i would like help on a second attempt. thanks ​

Answers

Answer:

4

Step-by-step explanation:

im pretty sure that's the right answer!! let me know if I'm right

Are the equations m + 3 = -5 and m = -2 equivalent?​

Answers

m + 3 = 5
-3 -3

m = -2
m= -2

yes the equations are equivalent

In a baseball game Joey took 2,900 shots and sored 39% of the time how manytimes did Joey score?

Answers

Answer:

1131

Step-by-step explanation:

2900 x .39 = 1131

3x + 2=11 solve for x

Answers

Answer:

x=3

Step-by-step explanation:

3x3=9

9+2=11

Brainliest plz :)

Answer:

X = 3

Step-by-step explanation:

3x + 2 = 11

3x = 11 - 2

3x = 9

X = 9/3

X = 3

boy weighs 55 pounds. How much does he weigh in kilograms? Use the following conversion: 1 kilogram is 2.2 pounds.

Answers

Answer:

24.9476

Step-by-step explanation:

55= 24 kilo. but since its 2.2 pounds its gonna be the answer i said (i think) Hope this helps

Answer:

24.94

Step-by-step explanation:

this is the answer

The area of a triangle is 105 square inches. The base is 15 inches. What is the height in inches?

Answers

Step-by-step explanation:

Area of triangle=1/2×base×Height

105=1/2×15×h

210=15×h

h=14inches

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