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Dennis_Churaev [7]
3 years ago
7

Lily bought 6 skirts and 5 coats for a total of $452.62. If Lily's

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Let x = cost of one skirt

Let y = cost of one coat.

We need to construct a system of equations to help us solve this problem.

Lily: $452.62 = 6x + 5y

Sis: $289.36 = 3x + 5y.

Let's solve this by elimination. Multiply the second equation by -1

Lily: $452.62 = 6x + 5y

Sis: -$289.36 = -3x + -5y. Add the equations together.

$163.26 = 3x. Divide each side by 3.

$54.42 = x. Plug this into one of our original equations.

$452.62 = 6(54.42) + 5y. Multiply 6 by 54.42

$452.62 = 326.52 + 5y. Subtract 326.52 from each side.

$126.1 = 5y. Divide each side by 5

$25.22 = y.

One coat costs $25.22

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(6.0x10^5)x(3.0x10^4)=? <br><br> 18x10^20 <br> 18x10^9 <br> 1.8x10^20 <br> 1.8x10^10
Leto [7]
(6.0 x 10^5) x (3.0 x 10^4) = (6 x 3) x 10^(5 + 4) = 18 x 10^9 = 1.8 x 10^10
7 0
3 years ago
Janet bought a book for $19.95, and the tax was 6.25%. including tax how much did she pay round to nearest cent​
drek231 [11]

Answer:$21.2

Step-by-step explanation:

multiply 19.25*6.25 then divide by 100 then add that answer onto 19.25 to then get an estimate of 21.2 dollars

3 0
3 years ago
I would appreciate this a lot if someone could help me with this.
VARVARA [1.3K]

Answer: 1 - 2 = u got this

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
PLEASE HELP!!! BRAINLIEST TO CORRECT COMPLETE ANSWER!
notka56 [123]

Answer:

y=16x+1

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,17) and (2,33).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1,17), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=1 and y1=17.

Also, let's call the second point you gave, (2,33), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=2 and y2=33.

Now, just plug the numbers into the formula for m above, like this:

m=  

33 - 17/  2 - 1

or...

m=  16/ 1

or...

m=16

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=16x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,17). When x of the line is 1, y of the line must be 17.

(2,33). When x of the line is 2, y of the line must be 33.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=16x+b. b is what we want, the 16 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (1,17) and (2,33).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,17). y=mx+b or 17=16 × 1+b, or solving for b: b=17-(16)(1). b=1.

(2,33). y=mx+b or 33=16 × 2+b, or solving for b: b=33-(16)(2). b=1.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,17) and (2,33)  is   y=16x+1

4 0
2 years ago
If a car drove 180 miles in 3 hours and a truck drove 150 miles in 2 hours, what is the speed (in miles per hour) of the faster
grigory [225]

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

6 0
2 years ago
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