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kumpel [21]
3 years ago
7

Amanda spent $73 on shirts. Tee Shirts cost $9 and long sleeve shirts cost $11. IN she bought a total of 7, then how many of eac

h kind did she buy?
Mathematics
1 answer:
pentagon [3]3 years ago
5 0

Answer:

2 tee shirts

5 sleeves

Step-by-step explanation:

Let the number of shortsleeves be S and longsleeves L.

Total is 7

That is

L + S = 7

Total money spent is $73, while shorts cost 9 and longs 11

Hence,

9S + 11L = 73

We now have two equations we can solve simultaneously. From the first equation,

L = 7 - S

Putting this in equation 2

9s + 11(7 - S) = 73

9s + 77 - 11S = 73

2S = 4

S = 2

Since s = 2, then L = 5

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What is the equation of the points (-3,2) (2,-1) in standard form? 
Evgen [1.6K]
You can just plug in one of the points to each equation until you get an equality that is true.

I chose to use (-3,2)

1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)

2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)

3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)

So, the correct equation is 3x+5y=1.

Make sense?
3 0
3 years ago
1.) 3(x + 7) - 9x (x = 1​
MrMuchimi

Answer:

bonjour voilà la réponse 4.55

7 0
3 years ago
I am having trouble with helping a friend on math and the question is
Archy [21]
In simplest form it should be 5/7
6 0
2 years ago
A fitted multiple regression equation is Y = 28 + 5X1 - 4X2 + 7X3 + 2X4. When X1 increases 2 units and X2 increases 2 units as w
ad-work [718]

Answer:

A. Increase by 2

Step-by-step explanation:

Given that a  fitted multiple regression equation is

Y = 28 + 5X_1 -4X_2 + 7X_3 + 2X_4

This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4

The coefficients of independent variables represent the slope.

In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.

Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units

Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y

i.e. for 2 units change in x1, we expect 10 units change in Y

Similarly for 2 units change in x2, we expect -2(4) units change in Y

Put together we have

10-8 =2 change in y

Since positive 2, there is an increase by 2

A. Increase by 2

5 0
3 years ago
Given the system of linear equations:
Vanyuwa [196]

Answer:

Step-by-step explanation:

hello :

Part A :  x+6y =6 means : 6y = - x+6

so : y = (-1/6)x+1  an equation for the line (D)

     y = (1/3)x -2 is the line (D')

PartB : solution of the system  : y = (-1/6)x+1 ....(1)    color  red

                                        y =  (1/3)x -2 ....(2)  color  bleu

is the intersection point : (6 ; 0)

PartC : Algebraically  by (1) and (2) : (-1/6)x+1 =  (1/3)x -2

(-1/6)x  - (1/3)x = -2-1

(-x-2x)/6= -3

-3x = -18

so : x = 6  put this value in (1) or (2) : y = (-1/6)(6)+1 =0 the solution is : (6 ;0)

3 0
3 years ago
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