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3 years ago

Can someone please help me I don’t understand how to do it

2 answers:

7 0

This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem

Step 1: Create an equation for the perimeter respect to x

The equation for the perimeter p is:

$p=2w+2l$ where w is the width and l is the length

The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:

$p=2(3x+4)+2(2x-1)$

$=6x+8+4x-2$

$=10x+6$

This is the equation for the perimeter

Step 2: Solve for x since we are given the perimeter

We are given that the perimeter is 96, thus we can create the equation:

$10x+6=96$

Subtract 6 from both sides

$10x=90$

Divide both sides by 10

$x=9$

We have now found the value of x

Step 3: Find the length and width now that we know x

Plug the value of x into the expressions for the length and the width that we are given

$\text{Length}=3x+4=3(9)+4=31$

$\text{Width}=2x-1=2(9)-1=17$

Step 4: Solve for the area now that we know the dimensions

This is probably the easiest step. Multiply the length and width to find the area:

$31 \times 17=527$

The area of the patio is 527.

I've double- and triple-checked that this is the correct answer, so do not worry about any errors.

Let me know if you need any clarifications, thanks!

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Korolek [52]3 years ago

7 0

Answer:

Padoru Deserves a brainliest

Step-by-step explanation:

So i wrote this answer so she could have one please give them a brainliest

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What is the equation of the line in the slope intercept form

Grace [21]

Answer:

Equation of line; y = - 6x

Step-by-step explanation:

As we can see from this graph, point ( 0, 0 ) lying on this graph intersects the y - axis such that it forms a y - intercept of 0;

At the same time we can note that the change in y / change in x, in other words the slope, differs by a rise of 6 / run of - 1, 6 / - 1 being a slope of - 6;

If this equation is in slope - intercept form ⇒

y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,

Equation of line; y = - 6x

7 0

2 years ago

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EASY MATH (no links or get reported)

katovenus [111]

Answer:

Find the Roots (Zeros) f(x)=x^3-6x^2+13x-20. f(x)=x3−6x2+13x−20 f ( x ) = x 3 - 6 x 2 + 13 x - 20. Set x3−6x2+13x−20 x 3 - 6 x 2 + 13 x - 20 equal to 0 0 .

Step-by-step explanation:

hope this helps

4 0

3 years ago

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a

rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

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 $1 - \alpha$ .

That 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.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that $\sigma = 2$

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when $M = 0.5$ . So

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

$0.5 = 1.96\frac{2}{\sqrt{n}}$

$0.5\sqrt{n} = 2*1.96$

Dividing both sides by 0.5

$\sqrt{n} = 4*1.96$

$(\sqrt{n})^2 = (4*1.96)^2$

$n = 61.5$

Rounding up

We would have to take a sample of 62 to achieve this result.

8 0

3 years ago

Find the lateral area for the prism. L.A. = Find the total area for the prism. T.A. =

Ksivusya [100]

The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

6 0

3 years ago

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Assume y varies directly with x. when y=2 2/3 when x=1/4, what is y when x=1 1/8? NEED HELP QUICK!!

snow_tiger [21]

3y=8x

Explanation:

If y varies directly with x then

y=c⋅x for some constant of variation c

If (x,y)=(14,23) is a solution to this equation, then

23=c⋅14

→c=23⋅41=83

y=83x

or (clearing the fraction)

3y=8x

7 0

2 years ago