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AveGali [126]
2 years ago
13

What is the value of y in the solution to the following system of equations? 5x − 3y = −11 2x − 6y = −14 −1 0 1 2

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
5 0
5x - 3y = -11 (×2)
2x - 6y = -14 (x5)

10x - 6y = -22
10x - 30y = -70
---------------------- -
24y = 48
y = 2
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A coffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. If 120 pounds of beans create a mixture wo
atroni [7]
Let x be the number of pounds of the $1.35 beans. The cost of those beans is $1.35 * x, or 1.35x. 
<span>Let y be the number of pounds of the $1.05 beans. The cost of those beans is $1.05 * y, or 1.05y. </span>
<span>We know that 120 pounds of the mix sells for $1.15/pound, for a total of 120 * 1.15 = $138. </span>

<span>x + y = 120 </span>
<span>1.35(x) + (1.05)y = 138 </span>

<span>We can rewrite the first as </span>
<span>x = -y + 120 </span>

<span>Now we can substitute (-y + 120) in for (x) in the second equation, because we just proved they're equal. </span>

<span>1.35(x) + 1.05(y) = 138 </span>
<span>1.35(-y + 120) + 1.05y = 138 </span>
<span>-1.35y + 162 + 1.05y = 138 </span>
<span>-0.3y + 162 = 138 </span>
<span>-0.3y = -24 </span>
<span>y = 80 </span>

<span>And since x + y = 120, that means x = 40. </span>

<span>Check: </span>
<span>40 pounds of x at $1.35 costs 40 * 1.35, or $54. </span>
<span>80 pounds of y at $1.05 costs 80 * 1.05, or $84. </span>
<span>Do those add up to our target total, according to the question, of 120 * 1.15 = $138? </span>
3 0
3 years ago
What is 329 to the nearest 100
yuradex [85]
Here we will tell you what 329 is rounded to the nearest hundred and also show you what rules we used to get to the answer. First, 329 rounded to the nearest hundred is:

300

<span>Remember, we did not necessarily round up or down, but to the hundred that is nearest to 329.</span>
5 0
3 years ago
Read 2 more answers
Can someone help me with this prooblem
Scorpion4ik [409]

Answer:

9.85

Step-by-step explanation:

I hate these, LOL

We're going to draw a triangle on the graph paper to solve this. (in theory)

The top point is at 2 on the x axis, and the bottom is at 6. That's a difference of 4. Draw a line from the top dot over 4 spaces, so a line dropped from there could go straight to the bottom dot. We'll call this line/side of the triangle a, and a = 4.

Then we drop the line from there (6, 4) down to the second dot at (6, -5). That line is 9 places long. We'll call this line/side of the triangle b, and b = 9.

(This is so much easier to draw than type, I'll attach a picture).

Then we connect the two dots diagonally to form line/side c of our triangle. This is the length we don't know.

The pythagorean theorem says a^2 + b^2 = c^2

So a = 4, b = 9, c is unknown for our triangle

(4)(4) + (9)(9) = c^2

16 + 81 = 97

The square root of 97 = 9.8488, so if they have you round, I would say 9.85

Sorry if this just confused you more.

5 0
3 years ago
Hayden brought 18 new trading cards. Three-fourths of the new cards are baseball cards. How many baseball cards did Hayden buy
marshall27 [118]
<span>He bought 36 baseball cards. Since 3/4 of the 48 cards are baseball cards, you need to find 75% of 48, which is 36 cards. </span>
7 0
3 years ago
Factor completely 3x^2 − x − 4.
ozzi

3x^2 − x − 4

factor

= (3x − 4)(x + 1)


answer

D. (3x − 4)(x + 1)

8 0
2 years ago
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