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2 years ago

Decide if the expressions in each pair are equivalent. Explain how you know.

Mathematics

2 answers:

lilavasa [31]2 years ago

7 0

Answer:

x + x + x + x is the same as 4x

because its "x four times"

5x and x+5 are not the same because x+5 in not "x five times"

5x is 5 multiplied by x.

x + 5 is 5 added to x.

Lera25 [3.4K]2 years ago

5 0

Answer:

1) 4x and x+x+x+x are equal

2) 5x and x + 5 are not equal

Step-by-step explanation:

1) 4x is essentially 4 x , which is x + x + x + x

2) 5x is equal to 5 x , not x + 5

Hope this helps. If you have any questions, let me know.

You might be interested in

Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 5.

Alex787 [66]

Answer:

$27,72

Step-by-step explanation:

The information that we have its

The cost gas its $3.60 per gallon
Irene's car had 5.3 gallons
Irene's car tank is 13 gallons

so now for the know, How much did Irene spend on gas?

First

The gas that its necesary for filled de tank its

13gallons-5,3gallons=7,7 gallons

The cost for 7,7 its

7,7g*3,6$/g= $27,72

7 0

3 years ago

The vertices of a right triangle are (0, 0), (1, 0), and (0, 1).

Alchen [17]

Answer:

(3,3)

Step-by-step explanation:

Given

$Vertices: (0,0)\ (1,0)\ (0,1)$

$Scale\ Factor = 3$

Required

Determine which can't be any of the new vertices

First, we need to determine the new vertices:

$New\ Vertex = Scale\ Factor * Old\ Vertex$

For (0,0):

$New\ Vertex = 3 * (0,0)$

$New\ Vertex = (3 * 0,3 * 0)$

$New\ Vertex = (0,0)$

For (1,0):

$New\ Vertex = 3 * (1,0)$

$New\ Vertex = (3 * 1,3 * 0)$

$New\ Vertex = (3,0)$

For (0,1):

$New\ Vertex = 3 * (0,1)$

$New\ Vertex = (3 * 0,3 * 1)$

$New\ Vertex = (0,3)$

<em>Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle</em>

5 0

3 years ago

Sammy has x flavors of candies with which to make goody bags for Frank's birthday party. Sammy tosses out y flavors, because he

harkovskaia [24]

Answer:

$^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}$

Step-by-step explanation:

Total flavors Sammy initially had = x

Number of flavors Sammy throw away = y

After throwing away y flavors, the number of flavors Sammy will be left with = x - y

He needs to make 10-flavor bags from these (x - y) flavors. In order words he needs to chose 10 flavors for each bag from(x - y) flavors. The order of selection is not important here, so this is a problem of combinations. Also since we have to make selections or small groups, this also indicates that we have to use combinations.

So we need to make combinations of 10 flavors from a total of (x - y) flavors. This can be represented as $^{(x-y)}C_{10}$

The formula for combinations is:

$^{n}C_{r}=\frac{n!}{r!(n-r)!}$

Using the values in this formula, we get:

$^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}$

7 0

3 years ago

What is the product (2t+1) (t-4)

____ [38]

Answer:

Step-by-step explanation:

(2t+1)(t-4)

= 2t^2 - 8t + t - 4

= 27^2 - 7t - 4

3 0

3 years ago

PLEASE HELP NEED NOW!!!

ddd [48]

If the number of adult tickets are taken as x then the number of children’s tickets can be taken as (89 — x ) then we can set up the equation

4.10(x) + 2.70 (89 — x) = 331.30
4.10x + 240.3 — 2.70x = 331.30
1.4x = 331.30 — 240.30
1.4x = 91
X = 65

Therefore 65 adult tickets and 24 children tickets as 89 — 65 is 24

5 0

3 years ago