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3 years ago

Please help with my math due soon

Mathematics

1 answer:

MaRussiya [10]3 years ago

4 0

Answer:

x=2 y=6

Step-by-step explanation:

Using the substitution method 3x=9x-12 then combine like -6x=-12 then divide by -6 and x=2 then plug x=2 into any equation for example the bottom one. y=3(2) which y equal 6

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The DiMonte Corporation invented a new type of sunglass lens. Their variable expenses are $12.66 per unit, and their fixed expen

Sladkaya [172]

Answer:

a)one lens: 111,212.66

15000 lenses: 301,100

b)y=111,200+12.66x

slope: 12.66

c)12.66 dollars per unit of lens produced

d) 20.07

e) 19.2

f)decreases

Step-by-step explanation:

a) Cost of producing one lens

fixed expenses+variable expenses=111,200+12.66=111,212.66

Cost of producing 15,000 lenses

fixed expenses+variable expenses=111,200+12.66(15,000)=301,100

b)Expense function:

let y be the expense cost

let x be the number of lenses produced

y=111,200+12.66x

Slope:

The function is a line equation: y=mx+b where m is the slope.

In this case b=111,200 and m=12.66. So the slope is 12.66

c) the cost increases 12.66 dollars per unit of lens produced

d) The cost of producing 15000 lenses is:

111,200+12.66(15,000)=301,100

If DiMonte produces 15000 lenses, the average cost per lens is:

301,100/15000=20.073≈20.07

e)The cost of producing 17000 lenses is:

111,200+12.66(17,000)=326,420

If DiMonte produces 17000 lenses, the average cost per lens is:

326,420/17,000=19.2

f)The average per lens decrease.

8 0

4 years ago

Simplify the given expression below:<br> (4 + 21) – (1 – 71)

zzz [600]

Answer:

-45

Step-by-step explanation:

PEMDAS

First, parenthesis:

4 + 21 = 25

1 - 71 = 7

Then Subtraction:

25 - 70 = -45

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Simplify the following expression<br> by combining like terms.<br> 3b + 8 – 3- b = 2b + [?]

babymother [125]

The missing term is 5

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3 years ago

"Suppose that you are a city planner who obtains a sample of 20 randomly selected members of a mid-sized town in order to determ

frosja888 [35]

Answer: 2.093

Step-by-step explanation:

As per give , we have

Sample size : n= 20

Degree of freedom : df= n-1=19

Significance level : $\alpha: 1-0.95=0.05$

Since , the sample size is small (n<30) so we use t-test.

For confidence interval , we find two-tailed test value.

Using students's t-critical value table,

Critical t-value : $t_{\alpha/2, df}=t_{0.025,19}=2.093$

Thus, the critical value for the 95% confidence interval = 2.093

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3 years ago