What is 6 and 3/4 add 1 and 6/7? Write answer as a mixed number thanks! Next Question: What is 9 and 1/5 takeaway 2 and 7/8? Write the answer as a mixed number ok! Next Question : What is 4 and 1/3 times 1 and 3/4 ? Write the answer as a mixed number ok thanks! Last question: What is 6 and 6/7 divided by 3 and 2/3 ? Write the answer as a mixed number!!!!! Ok thanks! Try and answer all the questions ok !!!!!!!!!

Answers

Answer 1

Answer: 1). 6 3/4+1 6/7

= 27/4 + 13/7

= ((27 × 7) + (13 × 4)) / (4 × 7)

= (189 + 52) / 28

= 241/28

= 241/28

= 8 17/28

2). 9 1/5- 2 7/8

= 46/5 − 23/8

= ((46 × 8) − (23 × 5)) / (5 × 8)

= (368 - 115) / 40

= 253/40

= 253/40

= 6 13/40

3). 4 1/3* 1 3/4

= 13/3 × 7/4

= (13 × 7) / (3 × 4)

= 91/12

= 91/12

= 7 7/12

4). 6 6/7 ÷ 3 2/3

= 48/7 ÷ 11/3

= (48 × 3) / (11 × 7)

= 144/77

= 144/77

= 1 67/77

Hope I helped!

Answer 2

Answer: 1. $6 (3)/(4)+1 (6)/(7):6+1=7. [tex] (3*7)/(4*7)= (21)/(28) \ and \ (6*4)/(7*4)= (24)/(28) \n$ Add: $(21)/(28)+ (24)/(28)= (45)/(28) \n$ $Answer:\boxed{7 (45)/(28)} \n$ 2. $9 (1)/(5)-2 (7)/(8):9-2=7. [tex] (1*8)/(5*8)= (8)/(40) \ and \ (7*5)/(8*5)= (35)/(40) \n$ Subtract: $(35)/(40)- (8)/(40)= (27)/(40) \n$ Answer: $\boxed{7 (27)/(40)} \n$ 3. $4 (1)/(3)*1 (3)/(4):4*1=4.[tex] (1*4)/(3*4)= (4)/(12) \ and \ (3*3)/(4*3)= (9)/(12) \n$ Cross Multipy: $(4)/(12)* (9)/(12)= (9)/(36) \n$ Simplify:4 \frac{9}{36}=4 \boxed{3}{12}=4 \boxed{1}{4} $\n Answer:\boxed{4 (1)/(4)} \n$ 4. 6 \frac{6}{7}÷3 \frac{2}{3}:6÷3=3. $(6*2)/(7*2)= (12)/(14) \ and \ (3*7)/(2*7)= (21)/(14) \n$ Multiply: $(12)/(14)* (21)/(14)= (252)/(14) \n$ Simplify: $3 (252)/(14)=3 (18)/(1) \n$ Answer: $\boxed{3 (18)/(1)} \n$

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Ashley works for 2.8 hours. For each hour that she works, she makes $7.75. How much money does she make in all

Answers

Answer:

$21.7

Step-by-step explanation:

2.8 hours * 7.75 dollars = 21.7 dollars

Allie deposited $300.00 into a new savings account that earns 13% interest compounded quarterly. How long will it take for the balance to grow to $995.00? Round your answer to the nearest month. years and months

Answers

Answer:

9 years 4 months

Step-by-step explanation:

To find out how long it will take for Allie's initial deposit of $300to grow to $995 in a savings account with a 13% annual interest rate compounded quarterly, we can use the compound interest formula:

$\boxed{\begin{array}{l}\underline{\textsf{Compound Interest Formula}}\n\nA=P\left(1+(r)/(n)\right)^(nt)\n\n\textsf{where:}\n\phantom{ww}\bullet\;\;\textsf{$A$ is the final amount.}\n\phantom{ww}\bullet\;\;\textsf{$P$ is the principal amount.}\n\phantom{ww}\bullet\;\;\textsf{$r$ is the interest rate (in decimal form).}\n\phantom{ww}\bullet\;\;\textsf{$n$ is the number of times interest is applied per year.}\n\phantom{ww}\bullet\;\;\textsf{$t$ is the time (in years).}\end{array}}$

In this case:

A = $995
P = $300
r = 13% = 0.13
n = 4 (quarterly)

Substitute the values into the formula and solve for t:

$995=300\left(1+(0.13)/(4)\right)^(4t)$

Simplify the expression inside the bracket:

$995=300\left(1.0325\right)^(4t)$

Divide both sides of the equation by 300:

$(995)/(300)=\left(1.0325\right)^(4t)$

Take natural logs (ln) of both sides of the equation:

$\ln\left((995)/(300)\right)=\ln\left(1.0325^(4t)\right)$

$\textsf{Apply the power law:} \quad \ln x^n=n \ln x$

$\ln\left((995)/(300)\right)=4t\ln\left(1.0325\right)$

Divide both sides of the equation by 4ln(1.0325) to isolate t:

$(\ln\left((995)/(300)\right))/(4\ln\left(1.0325\right))=t$

$t=(\ln\left((995)/(300)\right))/(4\ln\left(1.0325\right))$

Evaluate using a calculator:

$t=9.37184241...$

Therefore, it will take 9.37 years for the balance to grow to $995.00.

To determine the number of months, subtract 9 from the value of t and multiply by 12:

$\textsf{Months}=12(9.37184241...-9)=4.46210895...$

Therefore, it will take 9 years and 4 months (rounded to the nearest month) for the balance to grow to $995.00.

Additional comments

In the case of quarterly compounding, the interest is calculated and added to the account balance every three months (once every quarter). So, even though it will take 9 years and 4 months for the balance to reach $995.00, Allie's account will not show this exact amount at that specific time. It will show a balance of $979.61 at 9 years and 3 months, and a balance of $1,011.45 at 9 years and 6 months, so technically, the account balance will still show as $979.61 at 9 years and 4 months.

Answer:

9 years and 4 months

Step-by-step explanation:

In order to calculate the number of years and months it will take for Allie's savings account balance to grow to $995.00, we can use the following compound interest formula:

$\sf A = P\left(1 + (r)/(n)\right)^(nt)$

where:

A is the future value
P is the present value
r is the annual interest rate
n is the number of compounding periods per year
t is the number of years

We can use the following values for the variables in the formula:

P = $300.00

r = 13% = 0.13

n = 4 (compounding quarterly)

A = $995.00

Substituting value, we get

$\sf 995 = 30000\left(1 + (0.13)/(4)\right)^(4\cdot t)$

$\sf 995 = 300.00\left(1.0325\right)^(4\cdot t)$

$\sf (995)/(300)=\left(1.0325\right)^(4\cdot t)$

$\sf 3.316 = \left(1.0325\right)^(4\cdot t)$

In order to solve the exponential equation, we can take the natural log of both sides:

$\sf ln(3.316) = ln(1.0325) ^ {4t}$

Using the properties of logarithms, we can bring the exponent down in front of the log:

$\sf 4t * ln(1.0325) = ln(3.316)$

Dividing both sides by ln(1.0325), we get:

$\sf t =( ln(3.316) )/(4ln(1.0325))$

Evaluating this expression, we get:

$\sf t = 9.3702710709672$

In the nearest hundred:

$\sf t \approx 9.37$

Therefore, year = 9 year

month = 37% of 12 = 4.44≈ 4 month

So, it will take Allie 9 years and 4 months for her savings account balance to grow to $995.00.

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges.Part A: Write equations to represent Company A's and Company B's total charges for cleaning a certain number of windows. Define the variable used in the equations. (4 points)

Part B: Which company would charge less for cleaning 8 windows? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows? (3 points)

Answers

Part A
y=6x+12
y=5x+15
x is the amount of windows, y is the total amount of money
Part B
y=6(8)+12 =60
y=5(8)+15 =52
Company B
Part C
y=6(6)+12 =48
y=5(6)+12 =42
$6 is saved

Kimberley wants to plot a graph to show the price of different numbers of skateboards. She has to plot the following points:(1, 49.99), (2, 99.98), (3, 149.97), (4, 199.96)

Which of the following best describes how the x-axis should be labeled?

From 0 to 6 at intervals of 3

From 0 to 8 at intervals of 4

From 0 to 3 at intervals of 1

From 0 to 5 at intervals of 1

Answers

Based on the given above, the values of the x's are 1, 2, 3, 4. It is best to draw the x-axis and label them from 0 to 5 with an interval of 1 to allow the better plotting of the points. In addition, all the values of the x may be found in the labels of the x-axis.

PLS HeELP ASAP ILL GIVE BRAINLIEST TYVM PLS

Answers

The first one is Y= x+9 and the second one is y=x-2

What is the midpoint of (-12,0) and (-3,0)?

Answers

The midpoint is (-15/2,0)

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