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2 years ago

12

the table shows the number of lift tickets and ski rentals sold to two different groups. Is it possible to determine how much ea

ch lift ticket cost? Justify your answer.

1 answer:

zysi [14]2 years ago

7 0

It is possible

Group 1 : 684 divided by 36 = 19$

Group 2 : 456 divided by 24 = 19$

Therefore, both groups 1 and 2 charge $19 for each ticket

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Tyrell Otis deposited his IRS refund check for $760 at 5% and made no other deposits or withdrawals. How much simple interest di

Helga [31]

Answer:

He earned $114 in interest.

The final amount in the account is $874

Step-by-step explanation:

Initial balance (b): $760

Interest rate (i): 0.05

Period (n): 3 months

Simple interest applications yield the same amount in interest every period. Therefore, the total simple interest earned can be defined by:

$I = n*B*i\\I= 3*760*0.05\\I=114$

The final amount (A) in the account is the initial balance plus the interest earned in 3 months.

$A = 760 +114\\A=874$

He earned $114 in interest and the final amount in the account is $874

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2 years ago

Select all of the potential solution(s) of the equation 2log5x = log54?

Romashka-Z-Leto [24]

Answer:

jit is good work i am sorry i am doing this but that is how business work

Step-by-step explanation:

also here sorry

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2 years ago

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What is the lateral area of a right rectangular prism that has rectangular bases measuring 3" by 5" and a height of 6"?

Mademuasel [1]

Answer:

The answer is the option A

$96\ in^{2}$

Step-by-step explanation:

we know that

The lateral area of a right rectangular prism is equal to

$LA=P*h$

where

P is the perimeter of the base

h is the height of the prism

Find the perimeter

$P=2*(3+5)=16\ in$

$h=6\ in$

substitute in the formula

$LA=16*6=96\ in^{2}$

6 0

2 years ago

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All members of our painting team paint at the same rate. If $20$ members can paint a $6000$ square foot wall in $24$ minutes, th

Yuri [45]

Let x represent time taken by 20 members to paint 9000 square foot wall.

We have been given that all members of our painting team paint at the same rate. 20 members can paint a 6000 square foot wall in 24 minutes. We are asked to find the time taken by 20 members to paint 9000 square foot wall.

We will use proportions to solve our given problem.

$\frac{\text{Time taken}}{\text{Area of wall painted}}=\frac{24\text{ min}}{6000\text{ ft}^2}$

$\frac{x}{9000\text{ ft}^2}=\frac{24\text{ min}}{6000\text{ ft}^2}$

$\frac{x}{9000\text{ ft}^2}\times 9000\text{ ft}^2=\frac{24\text{ min}}{6000\text{ ft}^2}\times 9000\text{ ft}^2$

$x=\frac{24\text{ min}}{6}\times 9$

$x=4\text{ min}\times 9$

$x=36\text{ min}$

Therefore, it will take 36 minutes for 20 members to paint 9000 square foot wall.

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2 years ago

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A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the

velikii [3]

Answer:

$\theta=cos^{-1}(\frac{2}{3})$

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

$\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}$

$\times =2\hat{i}-\hat{j}+2\hat{k}$

Now, we are finding the angle between $\times$ and vertical vector <0,0,1>

Angle between two vectors formula

$cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }$

Now, using this formula

$cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}$

$\theta=cos^{-1}(\frac{2}{3})$

Hence, the tower deviate from the vertical by the angle $\theta=cos^{-1}(\frac{2}{3})$

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2 years ago