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Vsevolod [243]
2 years ago
11

Alexandra and Stephanie are sisters, and they're saving their money to buy a used car. Together they have more than $2,500, and

Alexandra has $700 more than Stephanie. How much money does Stephanie have?
Mathematics
1 answer:
Vilka [71]2 years ago
7 0

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns:  a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

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liraira [26]

Answer:

Part A: a. the point 3 units to the left of 7

Part B: b. -4

Step-by-step explanation:

Part A: The expression can be simplified into 7 - 3, and when you subtract a number, you go left on the number line, so the point 3 left of 7

Part B: 7 - 3 = 4, and to get to 0 from 4, you need to subtract 4 or add -4

7 0
2 years ago
In 2016, there were a total of 41 national battlefields and national memorials. The number of national memorials is three less t
goldfiish [28.3K]

Answer: 11, 30

Step-by-step explanation:

Given

There were a total of 41 national battlefields and national memorials

Suppose there are x national battlefields

So, national memorials are 3x-3

The sum of the two must be 41

\Rightarrow x+3x-3=41\\\Rightarrow 4x=44\\\Rightarrow x=11

So, there are 11 national battlefields and 3\times 11-3=30 national memorials.

3 0
2 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
Find the surface area of this right tringular<br>Prism. Dimensions are in feet​
larisa86 [58]
Ummm there’s no right triangular
5 0
2 years ago
Will give brainliest if correct.
Nataly [62]

Answer:

The answer would be, 81cm.

Step-by-step explanation:

36÷4=9

9×9=81

8 0
3 years ago
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