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Anika [276]
3 years ago
7

Algebra 2 word problem: Urgent!

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Answer:

180 hours

Step-by-step explanation:

Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.

By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.

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Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new wall
Gekata [30.6K]

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

  • <em>The equation for f(l) is: </em>f(l) = 1.5l<em>.</em>
  • <em>The desired length and width are 8m and 4m</em>

<em />

Given that:

l = 2w

Divide both sides by 2

w = 0.5l

<u>Equation of f(l)</u>

The sum of the length and the width is represented as: f(l).

So, we have:

f(l) = l + w

Substitute w = 0.5l

f(l) = l + 0.5l

f(l) = 1.5l

See attachment for the graph of f(l)

<u>The desired dimension</u>

From the question, we understand that the total length is 12m.

This means that:

f(l) = 12

So, we have:

1.5l = 12

Divide both sides by 1.5

l = 8

Recall that:

w = 0.5l

w = 0.5 \times 8

w = 4

Hence, the desired length and width are 8m and 4m, respectively.

Read more about linear equations at:

brainly.com/question/2263981

8 0
3 years ago
The perimeter of a rectangle is 30.8 km and it’s diagonal length is 11 km. Find it’s length and width
blsea [12.9K]

Answer:

Length of the rectangle is 15.0325 km and width is 0.3765 km.

Explanation:

Given:

Perimeter of a rectangle = 30.8 km

Length of diagonal of rectangle = 11 km

To find:

The length and width of rectangle=?

Solution:

Lets assume length of the rectangle = x km

And assume width of the rectangle = y km

Lets first create equation using given  perimeter

perimeter of rectangle = 2 ( length +  width )

=> 30.8 km = 2 ( x + y )  

=>x + y = \frac{30.8}{2}

=> y = 15.4 – x             ------(1)

As diagonal and two sides of rectangle forms right angle triangle whose hypoteneus is diagonal ,  

=> length^2 + width^2 = diagonal^2

=> x^2 + y^2 = 11^2

=> x^2 + y^2 = 121

On substituting value of y from (1) in above equation we get

=> x^2 + (15.4-x)^2 = 121

=>x^2 + (15.4)^2 + x^2 – 2 x 15.4 \times x   = 121

=> 2x^2-30.8x + 237.16 -121  = 0

=> 2x^2-30.8x + 116.16 = 0

Solving above quadratic equation using quadratic formula

General form of quadratic equation is  

ax^2 +bx +c = 0

And quadratic formula for getting roots of quadratic equation is  

x= \frac{ -b\pm\sqrt{(b^2-4ac)}}{2a}

As equation is 2x^2-30.8x + 116.16 = 0, in our case

a = 2 ,  b = -30.8 and c = 116.16

Calculating roots of the equation we get

x=\frac{ -(-30.8)\pm\sqrt{(-30.8)^2-4(2)( 11)} } {(2\times2)}

x=\frac{30.8\pm\sqrt{(948.64-88)}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{(30.8\pm29.33)}4

x=\frac{(30.8+29.33)}{4}

x=\frac{(30.8-29.33)}{4}

=> x = 15.0325 or x = 0.3675

As generally length is longer one ,  

So x = 1.0325

From equation (1) y = 15.4 – x = 0.3765

Hence length of the rectangle is 15.0325 km and width is 0.3765 km.

6 0
3 years ago
jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jest
sveticcg [70]

Answer:

2 pieces

Step-by-step explanation:

Given

Length = 1\frac{2}{3}m

Pieces = \frac{3}{4}m

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

x= \frac{Length}{Pieces}

x= 1\frac{2}{3}/\frac{3}{4}

Convert mixed numbers to improper fraction

x= \frac{5}{3}/\frac{3}{4}

Change division to multiplication

x= \frac{5}{3}*\frac{4}{3}

x= \frac{20}{9}

x = 2.22

<em></em>x = 2<em> </em>

6 0
3 years ago
6 + (4+9) =19 Rewrite using the Associative Property
maw [93]

5*4*6=120
4+(6+9)=19
675+9=75
8 0
3 years ago
Vanessa earns a base salary of $400.00 every week with an additional %5, percent commission on everything she sells. Vanessa sol
Leona [35]
$482.5 is the FINAL ANSWER

To find commission:
We can use the base of 100% being 1650
We can use 5% because thats her commission
Use: 100(x)=1650(5) -> 100(x)=8250 after doing math, youll get the outcome of 82.5 commission

To find the total:
Just add that commission to her total being 82.5 + 400 = 482.5 $

5 0
3 years ago
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