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2 years ago

Alan is comparing the cost of a fresh lobster dinner at two different restaurants. The first

Mathematics

1 answer:

Pepsi [2]2 years ago

4 0

Good evening ,

Answer:

The weight : 29 pound

Alan would pay for his dinner : $130

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 14

the cost of the dinner at restaurant 2 is 3x + 43

Now ,we have to solve the equation : 4x + 14 = 3x + 43

4x + 14 = 3x + 43

⇔ x = 43 - 14

⇔ x = 29

In this case Alan would pay the same amount for his dinner at any restaurant:

the price = 4×(29)+14 = 130

= 3×(29)+43 = 130.

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One sample of n = 10 scores has a mean of M = 8, and a second sample of n = 5 scores has a mean of M = 2. If the two samples are

schepotkina [342]

Answer:

The mean for the combined sample = 6.

Step-by-step explanation:

We have been given that one sample of n = 10 scores has a mean of M = 8.

So the sum of 10 scores for 1st sample will be: $10\times 8=80$

We are also told that second sample of n = 5 scores has a mean of M = 2.

So the sum of 5 scores for 2nd sample will be: $5\times 2=10$

When the both samples are combined, so total points will be: $80+10=90$ and total scores will be $10+5=15$ .

$\text {Mean for the combined sample}=\frac{\text{Total points of both data sets}}{\text{Total scores of both data sets}}$

$\text {Mean for the combined sample}=\frac{90}{15}$

$\text {Mean for the combined sample}=6$

Therefore, the mean for the combined sample will be 6.

6 0

2 years ago

Write one problem using a dollar amputated of $420 and a percent of40% provide the solution to your problem

lianna [129]

Q- A $420 55' flat screen tv is on sale for 40%, what is the cost of the flat screen tv now?

A-168 the tv now cost $168 dollars

3 0

2 years ago

12(3w+8)=25 what is the w

Mashcka [7]

12(3w+8)=25
36w+96=25 ( I used the distributive property)
-96 . -96
36w=-71
w=-1.972222.... ( I divided both sides by 36)

7 0

3 years ago

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the accou

storchak [24]

Hello!

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?

We have the following compound interest formula

$P' = P*(1+\dfrac{r}{n})^{nt}$

$P' = 35000*(1+\frac{0,04}{4})^{4*5}$

$P' = 35000*(1+0,01)^{20}$

$P' = 35000*(1,01)^{20}$

$P' = 35000*(1.22019003995...)$

$P' \approx 42,706.66$

So the new principal P' after 5 years is approximately $42,706.66.

Subtracting the original principal from this amount gives the amount of interest received:

$P' - P = I$

$42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark$

________________________

I Hope this helps, greetings ... Dexteright02! =)

4 0

2 years ago

What is the area of a circle if the radius is 13

Kisachek [45]

A = pi * r^2.....r = radius and pi = 3.14

A = (3.14)(13^2)
A = 3.14(169)
A = 530.66

7 0

2 years ago