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vredina [299]
3 years ago
12

What is 3x+6y=16. what do i do please help

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0
Ok, so for this you're likely graphing in y=mx+b format (slope intercept). So to start, you'all first subtract 3x from the equation to get 6y=-3x+16. Now you'll divide the equation by 6 to get y alone. Your final equation will be y=-1/2x+16/6
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This is a bit confusing?
kow [346]

9514 1404 393

Answer:

  • Noah: 3 cups
  • Lin: 4 cups

Step-by-step explanation:

When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.

There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.

__

Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.

Lin will use 4 cups of flour for 6 cups of sugar.

__

<em>Alternate solution</em>

The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.

Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar

Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar

4 0
3 years ago
The First National Bank of Wilson has 600 checking account customers. Recent sample of 50 of these customers show 29 have a visa
uranmaximum [27]

Answer:

0.58 - 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.466

0.58 + 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.694

The 90% confidence interval would be given by (0.466;0.694)

Step-by-step explanation:

The estimated proportion of interest would be:

\hat p=\frac{29}{50}= 0.58

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.58 - 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.466

0.58 + 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.694

The 90% confidence interval would be given by (0.466;0.694)

4 0
4 years ago
2 months, 3 months , 4 months, or 5 months?
Molodets [167]
I’ll chose 4 months so you’re guaranteed too have enough to rent the instrument
6 0
3 years ago
2x-4y+7=0 how do I find the slope for this?
Digiron [165]

Answer:

The slope is 1/2 and the y intercept is 7/4

Step-by-step explanation:

2x-4y+7=0

To find the slope, we need to put the equation in slope intercept form

y = mx+b

So we need to solve for y

Subtract 2x from each side

2x-2x-4y+7=0-2x

-4y +7 = -2x

Subtract -7

-4y+7-7 = -2x-7

-4y = -2x-7

Divide by -4

-4y/-4 = -2x/-4  -7/-4

y = 1/2 x +7/4

The slope is 1/2 and the y intercept is 7/4

8 0
3 years ago
Derek uses a $50 gift card to purchase 3 books for $12 each and a calendar for $9.What is the amount left on the card ?
sergey [27]
The answer is D. Hope it helps! :)
6 0
3 years ago
Read 2 more answers
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