X, y, z are each a different digit
a. Max(2x+3y+7z)=?

Answers

Answer 1

Answer:

  101

Step-by-step explanation:

To get the largest weighted sum, you want to give the largest weight to the largest possible digit.

  Max( ) = 7·9 +3·8 +2·7 = 63 +24 +14 = 101 . . . . (x, y, z) = (7, 8, 9)

The maximum sum is 101.


Related Questions

find the slope of the line 2y+5x=3​

Answers

Answer:

-5/2

Step-by-step explanation:

First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.

So in our case, we get Y= -5/2x+3/2 so my slope is -5/2

Convert 6432 Decimal to Binary Number system ?

• Kindly don't spam !! ​

Answers

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

[tex]\huge \bf༆ Answer ༄[/tex]

The method to convert the number from Decimal to binary number system is simple ~

Divide the number continuously until it become 0 and write all the remainders from bottom to top.

Now let's solve the given question ~

[tex]\textsf{6432 ÷ 2 = 3216 , r = 0} [/tex]

[tex]\textsf{3216 ÷ 2 = 1608 , r = 0} [/tex]

[tex]\textsf{1608 ÷ 2 = 804 , r = 0} [/tex]

[tex]\textsf{804 ÷ 2 = 402 , r = 0} [/tex]

[tex]\textsf{402 ÷ 2 = 201 , r = 0} [/tex]

[tex]\textsf{201 ÷ 2 = 100 , r = 1 } [/tex]

[tex]\textsf{100 ÷ 2 = 50 , r = 0} [/tex]

[tex]\textsf{50 ÷ 2 = 25 , r = 0} [/tex]

[tex]\textsf{25 ÷ 2 = 12 , r = 1} [/tex]

[tex]\textsf{12 ÷ 2 = 6 , r = 0} [/tex]

[tex]\textsf{6 ÷ 2 = 3 , r = 0} [/tex]

[tex]\textsf{3 ÷ 2 = 1 , r = 1} [/tex]

[tex]\textsf{1 ÷ 2 = 0 , r = 1 } [/tex]

Now, write the numbers from bottom to top ~

[tex] \sf{1100100100000}[/tex]

I hope it helps ~


pls help for 50 pts!!!!!!!!!!!!!

Answers

Answer:

w is 22.5°

See solution in the photo

Answer:

22.5⁰

Step-by-step explanation:

<Q = <S = 5w⁰

<R + <S = 180 (Linear pair)

3w + 5w = 180

8w = 180

w = 180/8

w = 22.5⁰

Can someone help me out here?​

Answers

Answer:

with what?

Step-by-step explanation:

Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1).

Answers

Answer:

x = notebooks

y = indexboks

3x+4y=32 ( here is spent all money so I add 32 here )

5x+5y=50

by elemination method

3x+4y=32×5

5x+5y=50×4 ( here I'm going to eliminate y )

15 x+20y= 160

20x+20y= 200

- - = -

____________

-5x = -40

x = - 40 / -5

x = 8

here - × - = + so iam taking positive 8

now substitute the value of x in any equation

3×8+4y = 32

24 + 4y = 32

4y = 32-24

y = 8 / 4

y = 2

CHECKING

SUBSTITUTE BOTH VALUES IN ANY EQUATION

5×8+5×2 = 50

40 + 10 = 50

50 = 50

I SUBSTITUTE IN 2ND EQUATION

Answer:

(8,2)

Step-by-step explanation:

Given that:

3x + 4y = 32  --------- eq1

5x + 5y = 50 --------- eq2

From taking 5 common from eq2:

x + y = 10

Or it can also be written as:

x = 10 - y ----------eq3

Now put this value of x in eq1

3(10 - y) + 4y = 32

By simplifying:

30 - 3y +4y= 32

30 +y = 32

Subtracting 30 from both sides:

y = 32 - 30

y = 2

Putting value of y in eq 3

x = 10 - 2

x = 8

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

y= 1/3x + 3

Step-by-step explanation:

Graph the following equation.
x+2y>-6

Answers

Answer:

im not to sure i think it is 45

Step-by-step explanation:

your welcome

Answer:

-2y=6-x

y=0.5x-3

x=0

y=0.5*0-3=-3

(0;-3)

y=0

0=0.5x-3

0.5x=3

x=3/0.5=6

(6;0)

An analyst surveyed the movie preferences of moviegoers of different ages. Here are the results about movie preference, collected from a random sample of 400 moviegoers.
A 4-column table with 4 rows. The columns are labeled age bracket and the rows are labeled type of movie. Column 1 has entries cartoon, action, horror, comedy. Column 2 is labeled children with entries 50, 22, 2, 24. Column 3 is labeled teens with entries 10, 45, 40, 64. Column 4 is labeled adults with entries 2, 48, 19, 74.
Suppose we randomly select one of these survey participants. Let C be the event that the participant is an adult. Let D be the event that the participant prefers comedies.
Complete the statements.
P(C ∩ D) =
P(C ∪ D) =
The probability that a randomly selected participant is an adult prefers comedies is symbolized by P(C ∩ D).

Answers

Using it's concept, it is found that the probabilities are given as follows:

P(C ∩ D) = 0.185.P(C ∪ D) = 0.5775.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 400 moviegoers.

From the table, 74 are adults who prefer comedies, hence:

P(C ∩ D) = 74/400 = 0.185.

2 + 48 + 19 + 74 = 143 are adults, while 24 + 64 = 88 are not adults but prefer comedies, hence the "or probability" is given by:

P(C ∪ D) = (143 + 88)/400 = 0.5775.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

0.3575

0.405

Step-by-step explanation:

12. Fancy goldfish x cost $3 each and
common goldfish y cost $1 each. Graph
the function y
20
3x to determine
how many
of each type of goldfish Tasha
can buy for $20.

Answers

Answer:

x (Fancy Gold fish) = 3

y (Common goldfish) = 29

Step-by-step explanation:

Fancy goldfish x cost $3 each

common goldfish y cost $1 each

Graph: y  = 20 +  3x (I'm hoping this is the correct line equation, please do leave a comment below if it's not)

Thus, we graph it by subtitude either the x or y values. (Or you can use just X = 1,2,3).

Now, to find how many of each type of goldfish Tasha can buy. We subtitude the line equation by either using x = 3 or y = 1

Using either values to solve the equation, we get:

x = 3

y = 29

Hope this helps!

factor completely.
-3x^2+9x+30

Answers

Answer:

− 3 ( x − 5 ) ( x + 2 ) hope this helps

Step-by-step explanation:

Answer:

− 3 ( x − 5 ) ( x + 2

Step-by-step explanation:

Factor the polynomial expression 8x^3+1

Answers

[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Find the value of x





First person to answer correctly gets brainliest.

Answers

Answer:

x is 54

Step-by-step explanation:

90-36=54

A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?

Monthly cost with 9 slices:
Monthly cost with xx slices:

Answers

The pizza only would cost 11.25 dollars

The monthly cost would be 26.25 if he always buys 9 slices per months

find the midpoint of CD with C(-4,5) and D(-1,-4).

Answers

Answer:

(-2.5, 0.5)

Step-by-step explanation:

(-4) + (-1) / 2 = -2.5

5 + (-4) / 2 = 0.5

Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS

Answers

yes the triangles are congruent by the HL Theorem

Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4

Answers

The system of equations that can be used to determine the number of nickels and dimes is:

x + y = 468

0.05x + 0.01y = 34.40

Where:

x = number of nickels

y = number of dimes

The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.

For more information, please check: https://brainly.com/question/25802822

HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPP

Answers

Answer:

a, h and k have values 1, -5 and -10 respectively

WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

Y -.-

Answer:

Point Y is the answer to this

please answer


when a whole number is rounded to the nearest ten the answer is 340







a write down the smallest possible value for the number


b write down the largest possible value for the number​

Answers

Answer:

a) 335

b) 344

Step-by-step explanation:

im so confused please help me quickly

Answers

Answer:

a

Step-by-step explanation:

Very important question ☺️​

Answers

Answer:

130⁰

Step-by-step explanation:

Let,

<Q = x

<R = y

So,

In ∆PQR

2x + 2y + 80 = 180(Sum of all angle in a triangle is 180⁰)

2(x + y) = 180 - 80

2(x + y) = 100

x + y = 100/2

x + y = 50

Now,

In ∆QOR

x + y + QOR = 180(Sum of all angle in a triangle is 180⁰)

50 + QOR = 180

QOR = 180 - 50

QOR = 130⁰

The graph represents an object that is shot upwards from a tower and then falls to the ground.

1. How tall is the tower from which the object was shot?

2. When did the object hit the ground?

3. Estimate the greatest height the object reached and the time it took to reach that height. I indicate this situation on the graph.​

Answers

Answer:

1: The tower is around 93 meters tall. 2: The object hit the ground at 6 seconds. 3: 3 seconds to get to about 93 meters up.

Step-by-step explanation:

1: The tower is around 93 meters tall.

2: The object hit the ground at 6 seconds.

3: the time it took to reach that height is 3 seconds to get to about 93 meters up.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Linear function is a function whose graph is a straight line

1. Since the shot was made from the top of the tower, the starting height of the object (time zero) is equal to the height of the tower.

It represent in the graph by the y-intercept of the function, that is, the value of y when x=0.

The y-intercept is at (0,10) which shows that the height of the tower is 10m

2. The point where the object hit the ground, the height is zero meters, thus

The coordinates of the x-intercept are (6,0)

This shows that the object hit the ground 6 seconds after being shot.

3.The y-coordinate of the vertex shows the highest point of the object, which is 93 meters.

The x-coordinate of the vertex shows the time it took the object to reach said height, which is 2.8 seconds

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Solve for x in the equation p(m+qx)=rx+n

Answers

[tex]p(m+qx)=rx+n\\\\\implies pm+pqx = rx+n\\\\\implies pqx-rx = n-pm\\\\\implies x(pq -r) = n-pm\\\\\implies x = \dfrac{n-pm}{pq-r}[/tex]

Rationalize the denominator​

Answers

Answer:

[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]

[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]

Here..Step 3 contains the algebraic identity

( a + b ) × ( a - b ) = -

Also.. in the very last step ,

we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..

we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.

‎ ‎

‎ ‎

‎ ‎

hope helpful~

~Be Brainly!~Exhausted Zombie
Here’s the answer….hope it helps ;)

The volume of the triangular prism is 54 cubic units.
What is the value of x?
03
O 5
O 7
9
3x
what is the answer

Answers

Answer:

3 units

Step-by-step explanation:

I hope it helps you!

i'm in ISP which is In school probation. I need help! Thanks doubled the points btw

Answers

If 310 is 30% of some number x, then

0.30x = 310

⇒   x = 310/0.30

⇒   x = 310/(3/10)

⇒   x = 310 × 10/3

⇒   x = 3100/3 ≈ 1033.33

SOLVE HYPOTENUSE LEG-HL
-GEOMETRY

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

The required information needed to prove the two triangles congruent by HL congruency criteria is ~

[tex] \sf {VW} \cong BA[/tex]

need help asap ………….

Answers

Answer:

0.85

Step-by-step explanation:

HOPE THIS HELPS :)

Apply the distributive property to create an equivalent expression.
-9x(5j+k)
PLEASE HELP THANK YOUU!!

Answers

Answer:

-45xj-9xk

Step-by-step explanation:

-9x(5j+k)

Multiply -9x with 5j

Multiply -9x with k

-9x times 5j is -45xj

-9x times k is -9xk

So the equivalent expression is

-45xj-9xk

Hope this helps!

Use the factorial operation to evaluate 4!
4×3×2×1
4+3+2+1
4.321
4-3-2-1​

Answers

Answer:

4x3x2x1=25

Step-by-step explanation:

hope this helps :)

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