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Deffense [45]
2 years ago
9

Can anyone help Me solve this

Mathematics
1 answer:
suter [353]2 years ago
7 0

Answer:

but cheek s lol

Step-by-step explanation:

trying to get points bye

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Is -2/3 a rational number
Gelneren [198K]

Answer:

yes it is rational, as it can be expressed in the form p/q where p=-2 and q=3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60
anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

L=5W-60 (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

Area=W*L=W*(5W-60) (Equation #2)

Since the Area of the yard is 800 ft^2, then equation #2 turns into:

800=W*(5W-60)

Now, we rearrange this equation:  

800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0

We can divide the equation by 5 :

W^2-12W-160=0

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since (-20)*8=160 and -20+8=-12. The equation factorised looks like this:

(W-20)(W+8)=0

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

5*20-60=40

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0
3 years ago
You are trapped in a dark cave with three indistinguishable exists on the walls. One of the exits takes you 3 hours to travel an
bija089 [108]

Answer:

6 HOURS

Step-by-step explanation:

5 0
3 years ago
PLEASE HURRY! this is financial algebra
Zina [86]

Answer:

6 years

Step-by-step explanation:

Simple interest= P.R.T

I = $1300

P = 18000 deposit

Rate = 1.19%

T = ?

Putting into the formula we have

1300 = 18000x1.19/100xT

1300 = 18000x0.0119xT

1300 = 214.2T

Divide through to get T

T = 1300/214.2

= 6.069

So when we approximate T = 6 years

It would take 6 years to make $1300 in interest

7 0
3 years ago
Marisol is being paid $792 to provide nutrition counseling, It took her 8 hours more than she expected, so
olchik [2.2K]

Answer: 44 hours.

Step-by-step explanation:

Marisol is being paid $792.

We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:

T + 8 hours.

The amount of money per hour that she expected is calculated as:

$792/T = X

And for those 8 extra hours, she won $4 less per hour, then we have:

$792/(T + 8hs) = X - $4

Then we have a system of equations:

$792/T = X

$792/(T + 8hs) = X - $4

To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:

$792/(T + 8hs) = $792/T - $4

Now we can solve this for T.

$792 = ($792/T - $4)*(T + 8hs)  = $792 + $792*(8hs/T) - $4*T + $32*hs

0 = $792*(8hs/T) - $4*T + $32*hs

Let´s multiply this both sides by T

0*T = ($792*(8hs/T) - $4*T + $32*hs)*T

0 = $792*8hs - $4*T^2 +$32*T*hs

This is a quadratic equation, where i will write this witout units so it is easier to read and follow:

0 = -4*T^2 + 32*T + 792*8

The solutions cab be found by using the Bhaskara´s formula, these are:

T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4}  = \frac{-32 +-320}{-8}

Then the solutions are:

T = (-32 + 320)/-8 = -36 hours (This is a negative time, and it does not really have a meaning in this problem, so we can discard this option)

The other solution is:

T = (-32 - 320)/-8 = 44 hours.

Then we can conclude that she expected the job would take 44 hours in total.

5 0
2 years ago
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