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zubka84 [21]
3 years ago
15

Five times the number of test tubes in a school’s chemistry lab exceeds three times the number of beakers it has by 660. The sum

of two times the number of test tubes and five times the number of beakers is 450, If b is the number of beakers and t is the number of test tubes, the system of linear equations representing this situation is ...
The number of beakers in the school’s lab is ... and the number of test tubes in the school’s lab is...
Mathematics
2 answers:
Gnoma [55]3 years ago
8 0
Answer
Beakers: 30
Test tubes: 150
frutty [35]3 years ago
5 0

Answer:

The numbers of test tubes are 150 and beakers are 30.

Step-by-step explanation:

we have to  find numbers of beaker ans test tubes in chemistry lab

Given statement is "Five times the number of test tubes in a school’s chemistry lab exceeds three times the number of beakers it has by 660. The sum of two times the number of test tubes and five times the number of beakers is 450"

Let the number of beakers be b

and Let the number of test tubes be t

According to question

5t-3b=660           ......(1)

2t+5b=450          ......(2)

solve linear equation by substitution method,

isolate the b in equation (1)

5t-3b=660

subtract both the sides by 5t,

-3b=660-5t

divide both the sides  by -3,

tex]b=\frac{5t-660}{3}[/tex]

substitute the value of b in equation (2)

2t+5(\frac{5t-660}{3})=450

2t+(\frac{25t-3300}{3})=450

multiply both the sides by 3,

6t+25t-3300=1350

31t-3300=1350

Add  both the sides by 3300,

31t=1350+3300

31t=4650

divide both the sides by 31,

t=150

the numbers of test tubes are 150.

Put the value of t in equation (1)

5t-3b=660

5(150)-3b=660

750-3b=660

subtract both the sides by 750,

-3b=660-750

-3b=-90

divide both the sides by -3,

b=30

the numbers of beakers are 30.

Therefore, the numbers of test tubes are 150 and beakers are 30.

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Answer:

6 3/8, 6 1/2, 6 3/4, 6 5/6

Step-by-step explanation:

I recommend converting everything to decimals, so 6.375, 6.5, 6.75, and 6.833.

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6 0
3 years ago
Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a locat
-BARSIC- [3]

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Step-by-step explanation:

6 0
3 years ago
Help me please,Thanks
alisha [4.7K]
Answer:  The width is:  " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________
  
    V = L * w * h ; 
_________________________________________________
                 in which:
 
                     V = volume = 120 in.³ ;
                     L  = length  =  8 in.
                     w = width   =  ??
                     h = height  =  1.5 in.
____________________________________________
We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________
 
   V = L * w * h ; 
____________________________________________
Rewrite the formula; by dividing EACH SIDE of the equation by
   "(L * h)" ; to isolate "w" on one side of the equation;
                 and to solve for "w" ;
_____________________________________________
  →  V / (L * h) = ( L * w * h) / (L * h) ; 

to get:
_________________________________
     →  V / (L * h) =  w ; 

       ↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ; 
____________________________________________________
       → w = (120 in.³) / (8 in. * 1.5 in.) ;
    
       → w = (120 in.³) / (12 in.²) ;
 
       → w = (120/12) in. = 10 in.
____________________________________________________

8 0
3 years ago
Last month he sold 50 chickens and 30 duck fir $550. This month he sold 44 chickens and 36 ducks for $532
natali 33 [55]
Chicken - $8
Duck - $5

Work:
50c+30d=550
44c+36d=532
8 0
3 years ago
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.
vovikov84 [41]

Answer:

A=(4-g) 1.5

Step-by-step explanation:

Let g be the amount of glycerin in the lotion.  We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.

The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.

8 0
3 years ago
Read 2 more answers
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