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2 years ago

9

Diego then says, If we take half of the first number and double the second, the sum is 14. Write an equation that could represen

t this description. what is the solution?

1 answer:

Luden [163]2 years ago

8 0

Step-by-step explanation:

let the first number be x

let the second number be y

½ of the first number= ½x

Double the second; 2*y=2y

the sum... that is ½x+2y=14

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Please explain your answer as well, THANKS!!!

dusya [7]

Answer:

11,232,000

Step-by-step explanation:

The key to this problem is knowing "repetition is NOT ALLOWED".

<u>For the first 3 letters slot:</u>

For the 1st slot, we can pick any of the 26 alphabets

For the 2nd slot, we can pick any of the 25 remaining alphabets (since 1 is already taken)

For the 3rd slot, we can pick any of the 24 remaining letters (since 2 is already taken)

<u>For the three digits slot:</u>

For the 1st slot, we can pick any one of the 10 digits

For the 2nd slot, we can pick any one of the 9 digits left, since 1 is taken already

For the 3rd slot, we can pick any one of the 8 digits left, since 2 is already taken

The number of license plates, thus, would be all of these multiplied together:

26 * 25 * 24 * 10 * 9 * 8 = 11,232,000

7 0

2 years ago

Of all rectangles with area 324324, which one has the minimum perimeter? Let P and w be the perimeter and width, respectively

ra1l [238]

Answer:

For w = 18 units perimeter is minimum

P = 2(18 + w)

Step-by-step explanation:

Given;

Area of the rectangle = 324 units²

P is the perimeter

w is the width

Let L be the length of the rectangle

therefore,

P = 2(L + w) ............(1)

also,

Lw = 324

or

L = $\frac{324}{w}$ ..........(2)

substituting 2 in 1

P = $2(\frac{324}{w} + w)$

now,

for minimizing the perimeter

$\frac{dp}{dw}=\frac{d(2(\frac{324}{w} + w))}{dw}$ = 0

or

$2((-1)\frac{324}{w^2}+1)$ = 0

or

$(-1)\frac{324}{w^2}+1$ = 0

or

$(-1)\frac{324}{w^2}$ = -1

or

w² = 324

or

w = 18 units

For w = 18 units perimeter is minimum

therefore,

from 2

L = $\frac{324}{18}$

or

L = 18 units

objective function for P is:

P = 2(18 + w)

8 0

2 years ago

What properties makes the equation ture?

Oksi-84 [34.3K]

Answer:

A.2z+5=5+2z

Associative properties

Distributive properties

Commutative properties

Indentity propertie

5 0

2 years ago

What is the sum of 0.03+ 1.85

Kryger [21]

Answer:

0.03 + 1.85 = 1.88

6 0

3 years ago

Read 2 more answers

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64

andreev551 [17]

Answer:

104 miles hope i helped

6 0

2 years ago

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