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Len [333]
1 year ago
11

Elena has $225 in her bank account. She takes out $20 each week for w weeks. After w weeks she has d dollars left in her bank ac

count. Write an equation the represents the amount of money left in her bank account after w weeks
Mathematics
2 answers:
boyakko [2]1 year ago
8 0

Answer:

f(w) = 225 -20w

Step-by-step explanation:

Sveta_85 [38]1 year ago
5 0

Answer:

225 - 20w = d

Step-by-step explanation:

Elena has $225 in her bank account.

She takes out $20 each week for w weeks.

After w weeks she has d dollars left in her bank account.

The equation that represents the amount of money left in her bank account after w weeks would be

225 - 20w = d dollars

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The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)
Alenkasestr [34]

Answer: 6x^2+11

Step-by-step explanation:

Given the polynomial of degree 3:

24x^3 - 54x^2 + 44x -99

You can observe make two groups or two terms each:

(24x^3 + 44x) - (54x^2 + 99)

The Greatest Common Factor (GCF), is the highest number that divides into two or more numbers without leaving remainder.

 You can observe that the GCF of both set are factored out (4x and 9), then, you can find  the common factor that is missing from both sets of parentheses with this procedure:

(\frac{24x^3}{4x}+\frac{44x}{4x})-(\frac{54x^2}{9}+\frac{99}{9})=(6x^2+11)-(6x^2+11)

You can observe that the common factor that is missing from both sets of parentheses is:

6x^2+11

3 0
1 year ago
The student to faculty ratio at a small college is 17:3 the total number of students and faculty is 740. How many faculty member
larisa86 [58]

Answer:

111

Step-by-step explanation:

It is given that the student to faculty ratio at a small college is 17:3.

Let number of students and faculty members are 17x and 3x respectively.

It is given that total number of students and faculty is 740.

17x+3x=740

20x=740

Divide both sides by 20.

x=37

Number of student =17\times 37=629

Number of faculty members =3\times 37=111

Therefore, there are 111 faculty members at the college.

3 0
2 years ago
Multiple 7/9 to the sum of 8 3/7 and 5 11/14
Brums [2.3K]

\frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) =  \\

\frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14}   ) =  \\

\frac{7}{9} \times (13 \frac{6 + 11}{14}) =  \\

\frac{7}{9}  \times (13 \frac{17}{14}) =  \\

\frac{7}{9} \times (14 \frac{3}{14}) =  \\

\frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) =  \\

\frac{7}{9} \times ( \frac{42 + 3}{14}) =  \\

\frac{7}{9} \times ( \frac{45}{14}) =  \frac{7 \times 45}{9 \times 14} =  \frac{5}{2}  \\

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0
2 years ago
Read 2 more answers
Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data
eduard

Answer:

we need the data to answer the question

3 0
2 years ago
The heights of fully grown sugar maple trees are normally distributed, with a mean of 87.5 feet and a standard deviation of 6.25
Julli [10]

Answer:

20.33%

Step-by-step explanation:

We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12

They ask us for P (x <86)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (86 - 87.5) / (6.25 / (12 ^ 1/2))

z = -0.83

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-0.83) = 0.2033

The probability is 20.33%

6 0
1 year ago
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