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3 years ago

What property is this 6(x + 4) = 6x + 24

Mathematics

1 answer:

sertanlavr [38]3 years ago

5 0

Answer:

distributive

Step-by-step explanation:

6 * x = 6x

6 * 4 = 24

move the plus sign

6x+24

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A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the pri

Ainat [17]

Answer:

s= 2( lw + hw+ hl)

298

Step-by-step explanation:

w = 8inched

l=12inches

h=4inches

s = 2 ((12×8)+(4×8)+(4×12))

=2 (96+32+48)

= 2 (149) =298

6 0

4 years ago

Find n for the arithmetic sequence for which sn=345, u1=12 and d = 5 .

liq [111]

Answer:

n = 10

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 and $S_{n}$ = 345, thus

$\frac{n}{2}$ [ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )

n( 24 + 5n - 5) = 690 ← distribute and simplify left side

n(19 + 5n) = 690

19n + 5n² = 690 ( subtract 690 from both sides )

5n² + 19n - 690 = 0 ← in standard form

(5n + 69)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - $\frac{69}{5}$

n - 10 = 0 ⇒ n = 10

However, n > 0 , thus n = 10

6 0

3 years ago

The license plates on all karts in MarioLand contain three numbers followed by three letters. If you know that the MarioLand num

iogann1982 [59]

Answer:

It can be created 1575 license plated with at least one three-piece palindrome.

Step-by-step explanation:

If a license plates has at least one three-piece palindrome, we have the following cases:

1. The license plate just has a palindrome in the three numbers: The number license plates for this case can be calculated using the rule of multiplication as:

5 * 5 * 1 * 3 * 3 * 2 = 450

1st Number 2nd 3rd 1st Letter 2nd 3rd

For have a palindrome in the numbers, the first and the 3rd number need to be the same. So, we have 5 digits for the first and the 2nd Number and one digit for the 3rd Number.

On the other hand, if the palindrome is just in the numbers, the 3rd letter need to be different from the 1st. So we have 3 options for the 1st and the 2nd letter and 2 options for the 3rd letter.

At the same way, we can calculated the number of license plates for the other cases:

2. The license plate just has a palindrome in the three letters:

5 * 5 * 4 * 3 * 3 * 1 = 900

1st Number 2nd 3rd 1st Letter 2nd 3rd

3. The license plate has a palindrome in the three numbers and in the letters:

5 * 5 * 1 * 3 * 3 * 1 = 225

1st Number 2nd 3rd 1st Letter 2nd 3rd

Then, It can be created 1575 license plates with at least one three-piece palindrome and it is calculated as:

450 + 900 + 225 = 1575

5 0

3 years ago

Find x 3x-5 32 5x-5 56

Liula [17]

hope it helps..explanation..

7 0

3 years ago

Read 2 more answers

Which of the following would best be solved using factoring by grouping?

snow_lady [41]

Answer:

The fourth

Step-by-step explanation:

It has 4 terms

5 0

3 years ago

Read 2 more answers

What property is this 6(x + 4) = 6x + 24​

What property is this 6(x + 4) = 6x + 24