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3 years ago

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Sue has 18 sweets. Tony also has 18 sweets. Sue gives Tony x sweets. Sue then eats 5 of her sweets. Tony then eats half of his s

weets. Write expressions for the number sweets Sue and Tony now have

1 answer:

Ede4ka [16]3 years ago

6 0

Answer is below.........

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I hate Geometry.... Help?

Usimov [2.4K]

Hello there,

Okay, Let's start with RS. So what I did was I subtracted (3x-4)-(4x+1) and the reason I did that was because (4x+1) equal's the whole length. And sense I dont know the length of RS yet. . . I will use the other length to find out. So when you calculate those both. Your correct answer is (x+5).

RS= x=5

Hope this helps.

~Jurgen

8 0

2 years ago

Solve using elimination x-2y=10 and x+3y=5

Zina [86]

Multiply the equation (x-2y=10) by -1
-x+2y=-10
x+3y=5
The x’s cancel out
2y=-10
3y=5
Combine
5y=-5
Divide both sides by 5
y=-1
Plug in y to either original equation
x-2(-1)=10
x+2=10
Subtract 2 from both sides
x=8, y=-1

6 0

2 years ago

Point slope formula.. help

sertanlavr [38]

<h3>Answer: y = 2x+6</h3>

========================================================

Explanation:

We'll need the slope first

m = slope

m = (y2-y1)/(x2-x1)

m = (0-(-4))/(-3-(-5))

m = (0+4)/(-3+5)

m = 4/2

m = 2

The slope is 2.

Next, pick either of the two given points to play the role of $(x_1,y_1)$

Let's say we picked on (-5,-4). The order doesn't matter so you could easily pick the other point as well.

We'll plug these items into the point slope equation below to solve for y.

$y - y_1 = m(x - x_1)\\\\y - (-4) = 2(x - (-5))\\\\y + 4 = 2(x +5)\\\\y + 4 = 2x +10\\\\y = 2x +10-4\\\\y = 2x +6\\\\$

Or we could have picked on (-3,0). The m value stays the same (at m = 2)

$y - y_1 = m(x - x_1)\\\\y - 0 = 2(x - (-3))\\\\y = 2(x +3)\\\\y = 2x+6\\\\$

This one takes a few less steps. Either way, we get to the same answer.

You only need to pick one of the points, but doing both of them helps show that the two points are on the same line. It helps confirm the answer.

-----------------------

Another way to check the answer is to plug the (x,y) coordinates into y = 2x+6 for each point.

So let's say we check (x,y) = (-5,-4)

y = 2x+6

-4 = 2(-5)+6 ... replace x with -5, replace y with -4

-4 = -10+6

-4 = -4

This confirms the first point. I'll let you check the second point.

6 0

2 years ago

Read 2 more answers

Which measurement statement is correct?

Ivan

Answer:

There are two pints in a cup

6 0

2 years ago

Read 2 more answers

In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:

Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that $n = 1289$ .

Of the respondents, 436 replied that America is doing about the right amount. This means that $\pi = \frac{436}{1289} = 0.3382$ .

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. 

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364$

The 95% confidence interval is:

B (0.312, 0.364)

5 0

2 years ago