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matrenka [14]
3 years ago
13

Someone please help ?

Mathematics
1 answer:
ikadub [295]3 years ago
8 0

a. 1490

5 x 37.25= 186.25

186.25 x 8 = 1,490

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A classmate simplifies the expression in exercise 1. is the expression he wrote equivalent to the original expression? explain.
AlladinOne [14]
Excercise 1:

No, this is not simplified fully. The full answer would be <span>−7dk+14d−21k</span>−7, not <span>14d - 9 - 21k - 7dk + 2. So, it is not equivalent.
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Excercise 4:
</span><span>7dk (2 - 3 - 1) - 7
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3 years ago
Factorise <br> a) 3x^2-7x+2<br> b)2x^2-x-3<br> c)3x^2-16x-12
Luba_88 [7]

Answer: Answers are in the steps read carefully!

Step-by-step explanation:

A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7.  The numbers -1 and -6 works out because -6 times -1 is 6  and -6 plus -1 is -7.

Now rewrite the polynomial as

3x^2 - 1x - 6x + 2   Now group it  

(3x^2 - 1x) (-6x+2)  Factor it by groups

x (3x -1)  -2(3x -1)    Now factor out 3x-1  

(3x -1) (x-2)  Done!    

B)  2x^2 - x -3     Now the same way.You will have two numbers that  their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient  2 by the constant -3.  The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.

 Rewrite the polynomial as

2x^2 +2x - 3x -3     GRoup them and factor them

(2x^2 + 2x)  (-3x-3)  

2x(x+1) -3(x+1)  Factor out x+1

(x+1) (2x -3) Done!  

C) 3x^2 - 16x - 12   Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.

Rewrite the polynomial

3x^2 +2x -18x - 12   GRoup them

 (3x^2 + 2x)   (-18x - 12)   Factor them

x (3x +2) -6(3x +2)  Factor out 3x+2

(3x+2) (x -6)  Done !

6 0
3 years ago
What is the answer to 7x+7 = 3x+9
devlian [24]

Answer:x=1/2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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Area= 709.86
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6 0
3 years ago
A carnival charges two different prices for admissions. Adults cost $4 while children cost $1.50. If a total of $5050 was collec
GenaCL600 [577]

Answer:

Step-by-step explanation:

We have to have 2 different equations to solve this.  One equation will represent the number of tickets sold while the other represents the money collected when the tickets were sold.

We know that adult tickets + children tickets = 2200 tickets.

That's the "number of tickets" equation.  Let's call adult tickets "a" and children's tickets "c".  So a + c = 2200

Now if each adult costs $4, then the expression that represents that as a cost is 4a.  If there is 1 adult, the cost is $4(1) = $4; if there are 2 adults, the cost is $4(2) = $8; if there are 3 adults, the cost is $4(3) = $12, etc.

The same goes for the children's tickets.  If each child's ticket is $1.50, then the expression that represents the cost of a child's ticket is 1.5c (we don't need the 0 at the end; it doesn't change anything to drop it off).  The total money brought in from the cost of these tickets was $5050, so

4a + 1.5c = 5050

Let's solve the first equation for a.  If a + c = 2200, then a = 2200 - c.  Sub that into the second equation and solve it for c:

4(2200 - c) + 1.5c = 5050 and

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That means that there were 1500 children's tickets sold.  If a + c = 2200, then a + 1500 = 2200 so

a = 2200 - 1500 so

a = 700

There were 1500 children's tickets sold and 700 adult tickets sold.

7 0
3 years ago
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