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Sveta_85 [38]
3 years ago
9

What's the value of x and y when 4x+y=210 and 3x+2y=195?

Mathematics
2 answers:
noname [10]3 years ago
8 0
After substitution method, I got x=45 and y=30
adell [148]3 years ago
7 0
You already hve the answer, but you do this by turning the equation into standard form. Since we are isolating y for each linear equation, we must first subtract the 4x and 3x on both sides. This should come out to y=-4x+219 and 2y=-3x+195. Since we have our first equation in standard form, all we have go do is divide 2 on both sides frome the second equation. Then you can solve by substitution (y=y)
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Write in y=mx+b form
MA_775_DIABLO [31]

Answer:

y = -2/3x

Step-by-step explanation:

To write in y=mx+b form, you need the y-intercept (b) and the slope (m).

The y-intercept is the point the line crosses the y-axis.  This line crosses the y-axis of (0, 0).  This makes the y-intercept equal to 0.

The slope is the rise of the line over the run of the line.  Pick two points from the line.  It doesn't matter which ones, you will get the right answer regardless.  

I picked (0, 0) and (-3, 2).  Subtract the x-values from each other, and subtract the y-values from each other.

-3 - 0 = -3  (x)

2 - 0 = 2  (y)

Divide the y by the x to find the slope.

2/-3 = -2/3

Plug in the slope and y-intercept into the equation.

y = mx + b

y = -2/3x + 0

y = -2/3x

6 0
3 years ago
Signs for science project displays are cut from pieces of poster board that measure 1 yard on each side. Each sign is LaTeX: \fr
iren [92.7K]

Answer:

27

Step-by-step explanation:

Given that :

Dimension of poster board = 1 yd by 1 yd

Dimension of each poster sign = 1/3 yd by 1/9 yd

Number of poster signs that can be cut :

Area of poster sign = 1/3 * 1/9 = 1/27 yard²

Area of poster board = 1 yard²

Number of poster signs that can be cut :

Area of poster board / area of poster sign

1 yard² ÷ (1/27) yard²

1 ÷ 1/27

1 * 27/1

= 27 poster signs

4 0
3 years ago
Which shows 4 x 4 x 4 x 4 x 4 x 4 written as a single base with an exponent? A. 64 B. 46 C. 44
Digiron [165]
<span>4 x 4 x 4 x 4 x 4 x 4 = 4^6

answer is 4^6</span>
3 0
3 years ago
Read 2 more answers
Write y=2|x+2|−3 as a piecewise function.
hichkok12 [17]

Answer:

Below.

Step-by-step explanation:

f(x) = 2(x + 2) - 3   when x ≥ -2

f(x) = -2(x + 2) - 3 when x < -2

5 0
2 years ago
34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a
Vlad1618 [11]

Answer:

24.6 < μ < 27.2

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{3.8}{\sqrt{34}} = 1.3

The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.

The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.

So the correct answer is:

24.6 < μ < 27.2

4 0
2 years ago
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