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3 years ago

Which expression is equivalent to (7x-5)-(3x-2)?

2 answers:

8 0

Apply the distributive property.
7x−5−(3x)−1(−2)

Simplify.
7x−5−3x−1(−2)

Multiply −1 by −2 to get 2.
7x−5−3x+2

Add 7x and −3x to get 4x.
4x−5+2

Add −5 and 2 to get −3.
4x−3

4x−3

IgorLugansk [536]3 years ago

5 0

$(7x-5)-(3x-2)=7x-5-3x+2=4x-3$

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Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2

ollegr [7]

Answer:

$2x^2+8x-30$ represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = $2x^2-16$ and breadth = $-x^2+4x+1$

Thus, perimeter of rectangle = $2(2x^2-16+(-x^2+4x+1))$

$=2(2x^2-16-x^2+4x+1)$

$=2(x^2+4x-15)$

$=2x^2+8x-30$

Thus, perimeter of rectangle is $2x^2+8x-30$ ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

$2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12$

Thus, $2x^2+8x-30$ represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

5 0

3 years ago

Read 2 more answers

The sum of two integers is 26. the sum of the squares of the two integers is 340. what is the product of the two numbers?

Phoenix [80]

Lets say that the two unknown integers are $n$ and $m$ .

We know the following things about $n$ and $m$ :

$n+m=26$
$n^2+m^2=340$

And, we want to find $nm$ .

To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

$(n+m)^2=n^2+2nm+m^2$

So, given what we know about the unknown integers, the previous can be written as:

$(26)^2=340+2nm$

We can easily solve for $nm$ :

$nm= \frac{(26)^2-340}{2}= \frac{676-340}{2}= \frac{336}{2}=168$

The answer is 168.

Another approach to solve the problem is, from the two starting equations, compute the values of $n$ and $m$ , which are 12 and 14, and directly compute their product; however, the approach described is more elegant.

5 0

3 years ago

Alonzo works as a tutor for $7 an hour and as a waiter for $8 an hour this month he worked a combined total dollar total dollar

docker41 [41]

Answer: -1t + 720

Step-by-step explanation:

He worked at both jobs for 90 hours for this month.

He worked t hours as a tutor which means that as a waiter he worked;

= 90 - t hours

The amount earned is therefore;

= 7t + (8 * (90 - t))

= 7t + 720 - 8t

= -1t + 720

6 0

3 years ago

Find the values of x and y

Tom [10]

Answer:

x = 110°, y = 110°

Step-by-step explanation:

y = 110° ( vertical to 110° )

x = 110° ( alternate angle to y )

7 0

4 years ago

UT bisects WV. WV = ? A. SV B. 2(SV) C. UT D. none of the above

ValentinkaMS [17]

2(sv) is the answer for the question

4 0

4 years ago