Answer:
20 + 1 + 0.9 + 0.07
Step-by-step explanation:
Given the number 21.97 ;
To wite in expanded form:
Tens ___ Unit ____ tenth ____ hundredth
2_______ 1 _______ 9_________ 7
2 = 20
1 = 1
9 = 0.9
7 = 0.07
Hence,
20 + 1 + 0.9 + 0.07
Answer: The seasonal relatives is calculated are as follows:
Step-by-step explanation:
Given that,
restaurant only open from Wednesday to Saturday,
- 29 percent of its business on Friday
- 31 percent on Saturday night
- 21 percent on Thursday night.
∴ The remaining 19% of its business he does on Wednesday
Now, suppose that total production of sales in a given week be 'y'
So, average sales in a week = 
If we assume that y = 1
hence, average sales in a week = 
= 0.25
Now, we have to calculate the seasonal relatives,
that is,
= 
Wednesday:
= 
= 0.76
Thursday:
= 
= 0.84
Friday:
= 
= 1.16
Saturday:
= 
= 1.24
Answer:
1.5 seconds
Step-by-step explanation:
Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:
340 = -16x² - 4x + 382
0 = -16x² - 4x + 42 (Subtract 340 from both sides)
16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)
8x² + 2x - 21 = 0 (Divide entire equation by 2)
(4x + 7)(2x - 3) = 0 (Factor LHS)
4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)
4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)
or 
x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.
Hope this helps!
ANSWER
Length of the playing alley = 9m
Width of the playing alley = 3m
STEP-BY-STEP EXPLANATION:
Given information
<em>The perimeter of a rectangular playing alley = 24 m</em>
<em>The length of the alley is three times the width</em>
Let l represents the length of the alley
Let w represents the width of the alley
Step 1: Write the formula for calculating the perimeter of a rectangle

Where l is the length and w is the width of the rectangle
Recall, length = 3 times the width of the alley
Mathematically,

Step 2: Substitute the value of l = 3w into the above formula

Step 3: Solve for w

From the calculations above, you will see that the width of the playing alley is 3m
Step 4: Solve for l

Hence, the length of the playing alley is 9m
The complete question: <span>Working together it takes two computers </span>
10 minutes<span> to send out a company’s email. If it takes the slower computer 35 minuets to do the job on its own, how long will it take the faster computer to do its job on its own ?
</span>
To solve this, we are going to use the formula for rate of work problems:

<span>where
</span>

is the time it takes the first worker (person or machine) to complete the job.

is the time it takes the second worker (person or machine) to complete the job.

it the tames it takes to both workers working together to complete the job.
<span>
Let </span>

be the it takes the slower computer to the job, so

will be the time it takes the faster computer to do the job. We know from our problem that it takes the slower computer 35 minuets to do the job on its own, so

; we also know that it takes 10 minutes to both computers working together to do the job, so

. Lets replace those values in our formula to find

:





We can conclude that it takes the faster computer
14 minutes to do the job on its own.