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4 years ago

35x+10. How do I solve this?

Mathematics

1 answer:

kicyunya [14]4 years ago

3 0

Hey there Bfarrar07 !

This is pretty simple when you think about it.

With algebra problems like this, you want to set it equal to zero.

So your first step is to take 35x + 10 and set it equal to zero.

35x + 10 = 0

Then bring the 10 to the other side by subtracting it, so you have something like this:

35x + 10 (-10) = -10 (Remember, what you do to one side you have to do to the other!) So when you take 10 from the left, you have to take ten from the right.

You now have 35x = -10

In order to get x by itself, you need to divide the problem by 35.

35x/35 = -10/35

On the left hand side, the 35's cancel out, so you're left with x.

And on the right hand side you have -10/35

So x = -10/35 (Don't forget to simplify!)

-10/35 can be reduced to -5/7

X = - 5/7

Hope this helps!

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Nancy is saving $2 from her allowance. Marco is saving $1 the fist week, $2 the second week, $3 the third week, and so on. At th

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He would have said $55

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3 years ago

A sample of 20 pages was taken from a Yellow Pages directory. On each page, the mean area devoted to display ads was measured in

Snezhnost [94]

The 95 percent confidence interval for the mean is (266.76,426.24).

A confidence interval is how much uncertainty there is with any particular statistic. Confidence intervals are often used with a margin of error. It tells you how confident you can be that the results from a poll or survey reflect what you would expect to find if it were possible to survey the entire population. Confidence intervals are intrinsically connected to confidence levels.

The formula of Confidence Interval = Mean ± $t\frac{Standard Deviation}{\sqrt{number of observations} }$

where t is a constant

Given:

Mean = 346.5

Standard Deviation = 170.378

t-critical value for 95% Confidence interval with degrees of freedom(df)=n-1= 19 is 2.093

∴ Substituting values in formula we get

E = $2.093 X170.378/\sqrt{20}$ = 2.0931.96 x 38.0976=79.74

95% Confidence interval : (346.5-79.74,346.5+79.74)

95% Confidence interval : (266.76,426.24)

Learn more about confidence intervals here :

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4 0

2 years ago

Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether

svet-max [94.6K]

<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

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

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

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

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

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

Summary:

If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479 - 484 = 132.2479 square feet.

3 0

3 years ago

Pedro can drive 2 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Pedro to travel 72 miles, h

galben [10]

Pablo can ride his bicycle with speed of 18 miles per hour

Solution:

Given, Pedro can drive 2 times as fast as Pablo can ride his bicycle.

Let the speed of Pablo be "n" miles per hour

Then the speed of the Pedro will be "2n" miles per hour

Now, If it takes Pablo 2 hours longer than Pedro to travel 72 miles,

We have to find how fast can Pablo ride his bicycle?

The formula for speed is given as:

$\text { distance }=\text { speed } \times \text { time }$

Let the time taken by Pedro to travel 72 miles be "t" hours, then time taken by Pablo will be "t + 2" hours

In case of Pablo:

$\begin{array}{l}{72 \text { miles }=\text { speed } \times (t+2) \text { hour }} \\ {\rightarrow 72=n \times(t+2) \rightarrow(1)}\end{array}$

In case of Pedro:

$\begin{array}{l}{72 \text { miles }=\text { speed } \times \text { thours }} \\ {\rightarrow 72=2 n \times t \rightarrow(2)}\end{array}$

Then, equate both (1) and (2)

$\begin{array}{l}{n \times(t+2)=2 n \times t} \\\\ {\rightarrow t+2=2 \times t} \\\\ {\rightarrow t+2=2 t} \\\\ {\rightarrow 2 t-t=2} \\\\ {\rightarrow t=2}\end{array}$