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Basile [38]
2 years ago
14

The formula for glue says to at 50ML of a hardener to each container of resin how much hardener should be added to 19 containers

of resin
Mathematics
1 answer:
Alchen [17]2 years ago
7 0
\bf \begin{array}{ccll}
\stackrel{mL}{hardener}&\stackrel{resin}{container}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
50&1\\
x&19
\end{array}\implies \cfrac{50}{x}=\cfrac{1}{19}\implies \cfrac{50\cdot 19}{1}=x\implies \stackrel{mL}{950}=x
\\\\\\
\textit{now, there are 1000 mL in 1 liter, so }950~\underline{mL}\cdot \cfrac{L}{1000~\underline{mL}}
\\\\\\
\cfrac{950}{1000}L\implies 0.95~L
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Which ordered pair minimizes the objective function C = 60x + 85y?. (0, 160). (55, 70). (80, 50). (170, 0)
dangina [55]

Step-by-step explanation:

The given objective function is C = 60x + 85y

To check that which ordered pair is minimizing the objective function-we will substitute all the ordered pair one by one in the given function and we will calculate the value of C. The ordered pair which will give the minimum value will be the answer.

For (0, 160)

C=60\times 0+85\times 160=13600

For (55, 70)

C=60\times 55+85\times 70=9250

For (80, 50)

C=60\times 80+85\times 50=9050

For (80, 50)

C=60\times 170+85\times 0=10200

Hence the ordered pair which minimizes the objective function is (80, 50)




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2 years ago
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Given: LMNB is a square, LM = 20cm, P∈ LM , K ∈ PN , PK = 1 5 PN, LP = 4 cm Find: Area of LPKB
Bad White [126]

Answer:

  80 cm²

Step-by-step explanation:

Trapezoid LPKB has area ...

  A = (1/2)(b1 +b2)h = (1/2)(4 +20)(20) = 240 . . . . cm²

Triangle BPN has area ...

  A = (1/2)bh = (1/2)(20)(20) = 200 . . . . cm²

Triangle BKN has a height that is 4/5 the height of triangle BPN, so will have 4/5 the area:

  ΔBKN = (4/5)(200 cm²) = 160 cm²

The area of quadrilateral LPKB is that of trapezoid LPNB less the area of triangle BKN, so is ...

  240 cm² - 160 cm² = 80 cm²

6 0
2 years ago
What is 4.75 as an improper fraction in simplest form
jek_recluse [69]
4.75 = 4 75/100 =
 = 475/100 = ( we can divide numerator and denominator by 25 ) = 19/4
Answer:
4.75 as an improper fraction in simplest form is 19/4.
8 0
2 years ago
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The letters that spell TENNESSEE are each written on separate tiles lying facedown on a table. A tile is selected at random, the
DochEvi [55]

Answer:

There are 9 Letters in TENNESSEE. And 4 letters are E.

So the correct probability is 4/9.

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If you were to make a scatter plot of data, you would be able to determine the line of best fit. Using the regression equation y
VMariaS [17]

Answer:

Option B. is correct

Step-by-step explanation:

Given: The regression equation is y = 1.73 x + 0.39

To find: number of representatives for Oregon, which has a population of about 3.3 million

Solution:

The regression equation determined the specific relationship between a dependent variable and one or more independent variables.

To find number of representatives for Oregon, which has a population of about 3.3 million, put x=3.3 in the regression equation is y = 1.73 x + 0.39

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So, 6 representatives for Oregon has a population of about 3.3 million

Option B. is correct

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2 years ago
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