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Norma-Jean [14]
3 years ago
6

The width of a soccer field should be 60% of its length. Write and simplify an expression for the perimeter of a soccer field wi

th a length of x feet.
Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

here you go

Step-by-step explanation:

W = (0.6) L

       P = 2  (  L + W  )

       P = 2  [  L + (0.6) L  ]

       P = 2  ( 1.6 L  )

       P = (3.2) L  

       P = (3.2) x

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3) How many liters of a 20% acid solution must be mixed with a 60% solution to obtain 40 liters of a 35% solution? (25,15)THATS
serg [7]
<span>let x = the number of liters of the 20% solution. 

let y = the number of liters of the 60% solution. 

you want x + y to be equal to 40 liters. 

x is the number of liters total in the first solution.
y is the number of liters total in the second solution. 

you want .2 * x + .6 * y to be equal to .35 * 40 

.2 * x is the number of liters of acid in the first solution.
.6 * y is the number of liters of acid in the second solution.
.35 * 40 is the number of liters of acid in the final solution. 

you have two equations that need to be solved simultaneously. 

they are: 

x + y = 40
.2x + .6y = .35*40 

simplify these equations to get: 


x + y = 40
.2x + .6y = 14 

you can solve by substitution or by elimination or by graphing.
i will solve this one by graphing.
this means to graph both equations and find the intersection. 

the graph looks like this: 

 
the graph says the intersection is at the coordinate point of (25,15). 

this means that x = 25 and y = 15. 

x is the number of liters of the 20% solution.
y is the number of liters of the 60% solution. 

the formula of .2x + .6y = 14 becomes .2 * 25 + .6 * 15 = 14.
simplify this equation to get 14 = 14.
this confirms the solution is good. 
</span>
8 0
3 years ago
Read 2 more answers
​Ramona's Garage charges the following labor rates. All customers are charged for at least 0.5 hr.
algol13

Answer:

a. The linear function is given by,

y = 60x + 30  [y is in $ and x is in hour and x ≥ 0.5]

  = 60 [for x < 0.5]

b. The total cost of the repair job is,  $ 675 .

Step-by-step explanation:

Let, the linear function describing garage charge( y in $) and no. of hours of repair job ( x in hour) be,

y = mx + c    [for x ≥ 0.5]  -----------(1)

where, m is the slope of the line and c is the y intercept.

Now ,

m = \frac {90 - 60}{1 - 0.5}

  = 60  ----------------(2)

Now, putting the value of m and the point (x,y) = (0.5, 60) in (1), we get,

60 = 60 \times 0.5 + c $

⇒ c = 30 ----------------- (3)  

Hence, the linear function is given by,

y = 60x + 30  [y is in $ and x is in hour and x ≥ 0.5] ------------(4)

  = 60 [for x < 0.5]

Now, putting

x = 4 hr 15 min

= 4\dfrac {15}{60} hour

= 4.25 hour in (4), we get,

y = 60 \times 4.25 + 30  [in $]

= $ 285

So, the total cost of the repair job,

= $ (285 + 390)

= $ 675

3 0
3 years ago
Sasah spent 55% of savings. she has $135 left. how much did she have at first
stepladder [879]
She started off with $74.25 , Hope that helps
3 0
3 years ago
Read 2 more answers
What is the value of x to the nearest tenth?
natka813 [3]
X = 2.1 x tan(37)

x = 1.58 = 1.6
5 0
3 years ago
Can somebody help me !
Ugo [173]

Answer:

\angle 1

Step-by-step explanation:

\angle 1 is not congruent to \angle 6

3 0
3 years ago
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