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alisha [4.7K]
3 years ago
6

Simplify the expression. 11(32 + 5x) + 4x - x

Mathematics
2 answers:
malfutka [58]3 years ago
5 0

Answer:

352 + 58x

Step-by-step explanation:

alex41 [277]3 years ago
3 0

Answer:

352+58x

Step-by-step explanation:

Distribute to get 352+55x+4x-x

Combine like terms to get 352+58x.

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Select the correct inequality for the graph given
Kaylis [27]

Answer:

y<= 3x-1

Step-by-step explanation:

When it comes about inequalities, keep in mind the following

the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign

So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied

The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.

So the answer is y<= 3x-1

4 0
3 years ago
The sum of three consecutive even numbers is 552. What is the 1st number?
wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

7 0
2 years ago
Read 2 more answers
Formula for 4,9,14 19​
alexira [117]

Answer:

a_{n } = 5n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

9 - 4 = 14 - 9 = 19 - 14 = 5

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 5 , then

a_{n} = 4 + 5(n - 1) = 4 + 5n - 5 = 5n - 1

4 0
3 years ago
Read 2 more answers
Truax Corporation pays its employees on a graduated commission scale: 6% on the first $40,000 sales; 7% on sales from $40,000 to
vagabundo [1.1K]
Answer: Bernie’s commision is $6950

8 0
2 years ago
Which of the following expressions is equivalent to (8x)^2/3 ?
miv72 [106K]

Answer:

<h3>4x^2/3</h3>

Step-by-step explanation:

Given the expression (8x)^2/3

This can also be expressed as;

(8x)^2/3

= (2^3x)^2/3

= (2³)^2/3 * x^2/3

= 2^2 * x^2/3

= 4x^2/3

Hence the equivalent expression is 4x^2/3

5 0
2 years ago
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