1 = 104
2 = 79
find the measure of the third angle

Answer:

To add mixed numbers, we first need to convert them to improper fractions. 5 2/3 = (5 x 3 + 2)/3 = 17/3 6 21/23 = (6 x 23 + 21)/23 = 139/23 Now we add the fractions together: 17/3 + 29/69 + 139/23 To add these fractions, we need to find a common denominator. The smallest common denominator for 3, 69, and 23 is 3 x 69 x 23 = 15087. So we rewrite each fraction with the common denominator: 17/3 x 5039/5039 = 85763/15087 29/69 x 219/219 = 633/15087 139/23 x 657/657 = 9123/15087

If they worked for k hours, the amount of work done would be \(\mathbf{ \dfrac{k(x+y)}{xy}}\)hours.

Algebraic expression involves the use of variables and their arithmetic operations.

Given that:

If we have a function denoted by k (hours) indicating the work they both can do together. Then we can conclude that they can both work for:

\(\mathbf{=\dfrac{k}{x}+\dfrac{k}{y}}\)

\(\mathbf{ \dfrac{k(x+y)}{xy}}\)

Learn more about algebraic expressions here:

https://brainly.com/question/2164351

#SPJ1

Most secured loans are not high-interest loans and they are usually backed by collateral.

Secured loans demand the borrower to dedicate an asset or security as an assurance or collateral for the loan in order to get it.

For example:

Secured loans are often long-term loans; e.g, the average period of a house loan is 30 years, whereas vehicle loans run 4-5 years.

These kinds of loans are often repaid in monthly installments and have low-interest rates.

Learn more about secured loans here:

https://brainly.com/question/14997152

the given graph is smooth and its domain is containing all real numbers

so it is a polynomial function.

Answer:

\(3n + 3\)

\(3(n+1)\)

Step-by-step explanation:

Given

\(7n - (4n - 3)\)

Required

Simplify

To simplify the given expression, you start by opening  the bracket

\(7n - (4n - 3)\)

\(7n - 4n + 3\)

Next, you perform arithmetic operations on like terms

\(3n + 3\)

The answer can be further simplified;

Factorize \(3n + 3\)

\(3(n+1)\)

Hence;

\(7n - (4n - 3)\) when simplified is equivalent to \(3n + 3\) or \(3(n+1)\)

Answer:

3n+n

Step-by-step explanation:

Answer:

2.4 m

Step-by-step explanation:

Answer: inequalities are x + y ≤ 13 and 4x + 7y ≥ 65

Step-by-step explanation:

Given: Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She wants to make at least $65 dollars. She is only allowed to work 13 hours per week.

We have to write and graph the system of inequalities to represent this situation.

Let she babysits for x hours per week

and she works as a tutor for y hours per week

Then given she is allowed to work for 13 hours per week.

this inequality is stated as x + y ≤ 13

Mary babysits for $4 per hour if she babysits for x hours then she get 4x

She also works as a tutor for $7 per hour if she teach for y hours then she get 7y

also, she wants to make at least $65 dollars.

Then, this inequality is represented as 4x + 7y ≥ 65

(sorry if im wrong)

:(

Answer:

Step-by-step explanation:

a, e, f

Answer:

1. Pattern (rule) : y = x-6

2. Pattern (rule) : y=x^2+1

3. Pattern (rule)  : y = -3x

4. Pattern (rule) : y = 2x-2

5. Pattern (rule) : y = x^2

Step-by-step explanation:

Note: question number correspond to your order of questions.

1. Pattern (rule) : y = x-6

for missing parts, see attached table.

2. Pattern (rule) : y=x^2+1

3. Pattern (rule)  : y = -3x

4. Pattern (rule) : y = 2x-2

5. Pattern (rule) : y = x^2

Answer:

19135

Step-by-step explanation:

did the math in a calculator

Answer:

£19135

Step-by-step explanation:

Calculated

Answer:

132

Step-by-step explanation:

a straight line is 180% , so if the other triangle has a 48% we would subtract 180% by 48%.

Answer:

132

Step-by-step explanation:

Since those two angles are linear, they would form to make 180 degrees. So 180-48 is 132.

Answer:

54 m^3

Step-by-step explanation:

this is the answer = 54 m^3

Volume of the rectangular pyramid will be 54\(m^{3}\).

Rectangular pyramid has 5 faces where one face is rectangular which is at bases and other 4 faces are triangular which is connected at the one point .

If we assume that l is the length of the base and b is the width of the base and h is height of the rectangular pyramid then we can calculate the volume of the rectangular pyramid using the formula stated below

                 Volume of the rectangular pyramid = V=  (1/3)×l×b×h

According to the asked question

l = 6m

b = 3m

h = 9m

then we can calculate the volume of the rectangular pyramid by using the above formula

= V=  (1/3)×l×b×h

= (1/3)×6m×3m×9m

= 54\(m^{3}\)

Learn more about volume of the rectangular pyramid

Here:https://brainly.com/question/924442

#SPJ2

Answer:  12 row plans

The first seat has 2 possible options, the 2 directors. The second seat has another 2 options. With each director comes 2 options for the second seat, so 2 x 2=4 possible options for the 1st and 2nd seats. The third seat has 3 options. That means for each combination of the 1st and 2nd seat, there are 3 possible options. 4x3=12 combinations.

Step-by-step explanation:

The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

Answer:

Patty has 10 onions, And has 500 watermelons and Ava has a banana

Answer:

A

Step-by-step explanation:

Hey There!

So the first thing that we want to do is find the formula for volume of a pyramid

\(V=\frac{lwh}{3}\)

l = length

w = width

h = height this is a square pyramid so if the length is 8 then the width is 8

So all we have to do now knowing the formula is plug in the values

\(V=\frac{8*8*9}{3} \\8*8=64\\V=\frac{64*9}{3} \\64*9=576\\V=\frac{576}{3} \\\frac{576}{3} =192\\\)

So we can conclude that the volume of the square pyramid is 192

hope this helps :)

Answer:

198

Step-by-step explanation:

V= a^2 h/3 = 8^2 x 9/3 = 192

Or

Volume = The base edge squared multiplied by the height divided by three. Which would convert to-

Volume = 8^2 x 9/3 = 192

The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

for more such questions on graphs

https://brainly.com/question/29538026

#SPJ8

The value of f(x) . g(x) is  3x² + 5x - 2 two linear functions multiplied together to form a quadratic function.

When the output of one function is given to the input of another function they are called composite functions.In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

Given, Are two function f(x)  3x - 1 and g(x) = x + 2.

Now, f(x) . g(x) is nothing but multiplication of f(x) and g(x).

Therefore,

f(x) . g(x) = (3x - 1)(x + 2).

f(x) . g(x) = 3x² + 6x - x - 2.

f(x) . g(x) = 3x² + 5x - 2.

learn more about composite functions here :

https://brainly.com/question/5614233

#SPJ1

The equivalent of a gallon (gal) is 16 cups, 8 pints, or 4 quarts. The biggest liquid measurement is this one.

The complete question is

What is the biggest measurement of liquid?

To learn more about liquid measurements refer to:

https://brainly.com/question/7744911

#SPJ1

Company A, Company B, & Company C have joined to control prices in the market is an example of an economic trust.

Trust is one of the foundations of the economy. With trust, sellers/buyers can transact and investors can send funds with peace of mind. Without trust, commercial trading and money transfer processes will not be realized as smoothly and globally as they are now.

Over the decades, traditional banking and financial institutions have built their reputation on public trust. Banks build tall buildings with magnificent architecture and employees who wear neat shirts to build public trust.

Learn more about economic trust at https://brainly.com/question/27993933

#SPJ1

You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

For similar question on annual interest rate.  

https://brainly.com/question/29059795  

#SPJ11

Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

Answer:

a. answer choice c

b. 20301

Step-by-step explanation:

You first need to understand a formula for finding the sum of consecutive integers starting from one: (m*(m+1))/2, m is the biggest number in the set.

a. The biggest number in your set is 100, so we plug in 100 for m and solve:

100*101/2=50*101=5050

b. Same thing. Use the formula t plug in 201 for m:

201*202/2=201*101=20301

The only reason you have the picture next to your question is to prove the formula (m*(m+1))/2.

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The logarithmic expression for the given equation is ln(8th root e^5) = 5/8.

To evaluate ln(8th root \(e^5\)) without a calculator, we first use the fact that the 8th root of  \(e^5\) is equivalent to raising  \(e^5\) to the 1/8 power. So, we can rewrite ln(8th root  \(e^5\)) as ln(\(e^{(5/8)\)).

We know that e is the base of the natural logarithm, so ln(e) = 1.

We can rewrite the expression as:

ln(8th root  \(e^5\)) = ln(\(e^{(5/8)\))

Using the property of logarithms that ln(\(a^b\)) = b ln(a), we get:

ln(\(e^{(5/8)\)) = (5/8) ln(e)

Since ln(e) = 1, we have:

(5/8) ln(e) = 5/8

Therefore,the equation ln(8th root  \(e^5\)) = 5/8.

For more details regarding logarithm, visit:

https://brainly.com/question/28346542

#SPJ1

Your question seems incomplete, the probable complete question is:

Evaluate the following logarithmic expression without the use of a calculator. Write your answer as a fraction reduced to lowest terms. ln(8th root e^5)

Answer:

F. 15 / 8

Explanation:

the tan ratio is defined as

Answer:58 approximately c

Step-by-step explanation:

Answer:

The probability that 6 or more women would be laid off is P=0.08.

Step-by-step explanation:

In this case, we have a group of people and a proportion of women and men. We can think of the people laid off as a random sample taken from the population (all employees of the department).

The right model to represent that is with a binomial distribution. In this case, the sample size is n=8 and the probability of picking a woman is p=0.44.

According to this model, the probability that 6 or more women, out of 8 persons, would be laid off is:

a. The chart is prepared below.

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.

The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.

The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.

Here are the steps for calculating the balance for each year:

Year 1:

Beginning balance = $2,500.00

Interest for the year = $2,500.00 x 0.032 = $80.00

Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00

Year 2:

Beginning balance = $2,280.00

Interest for the year = $2,280.00 x 0.032 = $72.96

Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96

Year 3:

Beginning balance = $2,052.96

Interest for the year = $2,052.96 x 0.032 = $65.76

Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72

Year 4:

Beginning balance = $1,818.72

Interest for the year = $1,818.72 x 0.032 = $58.20

Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92

Here's a table that shows the details:

Year ,principal ,Interest rate, interest, Payment ,annual owing

1 $2,500.00 $80.00 $300.00              $2,280.00

2 $2,280.00 $72.96 $300.00              $2,052.96

3 $2,052.96 $65.76 $300.00               $1,818.72

4 $1,818.72         $58.20  $300.00       $1,576.92

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ1

Answer:

-9/4, 2.1, -26/13, -13/8

Step-by-step explanation: