Translate this phrase into an algebraic expression 66 decreased by twice Carlos's savings Use the variable c to represent Carlos's savings.​

The mathematical proof is given below. Then the claims are correct.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔABC is a right-angle triangle. And line CD is perpendicular to line AB.

In triangles ΔABC, ΔACD, and ΔCDB, we have

∠ACB = ∠ADC = ∠BDC                     (Right angle)

∠ABC = ∠ACD = ∠CBD                     (Corresponding angles)

Then the triangles ΔABC, ΔACD, and ΔCDB will be similar to each other. And in triangle ΔABC by the Pythagoras theorem is written as,

AB² = AC² + BC²

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Answer:

3 hours

Step-by-step explanation:

Time = distance / rate

.93 miles / 2.2 mile/hr    +   24.8 mile / 18.2 m/hr      +     6.2 mile / 5.1 mile/hr =   3.00 hr

Finally, the total time in which Tiffany will complete the race will be  3 hours.

speed ​​is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.

Given that The race consists of a 0.93-mile swim, a 24.8-mile bike ride, and a 6.2-mile run.

In training, she can swim at an average pace of 2.2mph. She rides her bike at an average of 18.2mph and runs at 5.1mph.

We know that Time = distance / rate

So, total time=  0.93 miles / 2.2 mile/hr    +   24.8 mile / 18.2 m/hr      +     6.2 mile / 5.1 mile/hr

total time =   3.00 hr

Learn more about speed:

brainly.com/question/15273551

#SPJ2

Answer:

m = -3

Step-by-step explanation:

hope it helps you ☺️

Answer:

There is a total 50 questions.

Step-by-step explanation:

Let x = total questions in the exam

Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.

With this information we can write:

\(18\%x=9\) (Given that the student made 9 mistakes)

\(x=9\div18\%\) (divide 18% on both sides)

\(x=50\)

∴ There was a total of 50 questions in the examination.

Answer:

what

Step-by-step explanation:

Answer:

t = 2.25

Step-by-step explanation:

To find t, divide each side by 4.

9 = 4t

Divide 9 by 4:

2.25 = t

So, t = 2.25

Step-by-step explanation:

here's your solution

=> angle 3 and angle 8 are interior angles

we know that sum of both angle is 180°

=> angle 3 + angle 8 = 180°

=> angle 3 + 129° = 180°

=> angle 3 = 180° - 129°

=> angle 3 = 51°

now , angle 3 and angle 1 are vertical angle

hence both angle are equal

=> angle 1 = 51°

hope it helps 【€€】

Answer:

a(b+c) = a into b + a*c

So, 79(457+35) = 79*457 + 79*35

Step-by-step explanation:

When a study sample is representative of the target population, it allows for the results to be generalizable, meaning they can be applied to the broader population.

This is an important aspect of research, as it ensures the study's findings are relevant and useful beyond the specific sample studied.

When a study sample shows representativeness, it means that the sample accurately reflects the characteristics of the target population.

In this case, the study is most likely generalizable, with results that can be applied to the target population.
To achieve representativeness, researchers often use random sampling techniques, which help minimize the potential for sampling bias.

Sampling bias occurs when certain groups within the target population are over- or under-represented in the sample, which can lead to inaccurate conclusions.

In contrast, if a study used strict inclusion and exclusion criteria to limit the sample size or relied on specific inclusion criteria, it could result in a sample that is not representative of the target population.

For similar question on population.

https://brainly.com/question/26119390

#SPJ11

Answer:

7 in both boxes

Step-by-step explanation:

In the picture, it shows

4 (x - 3) = 20

and then it shows

4 (x) - 4 (3) = 20

so practically you separate the x and 3 and put them in parentheses and then put a 4 next to both of them.

It should be the same as your question.

7 x (8 - 3)

and then separate 8 and 3 and put a 7 next to both of them.

( 7 x 8) - ( 7 x 3)

Hope it helps and have a great day! =D

~sunshine~

The speed of the boat in still water is 15 mph.

To determine the speed of the boat in still water, we need to consider its speed relative to the water and the effects of the current.

Let's assume the speed of the boat in still water is represented by "b" and the speed of the current is represented by "c."

When the boat is traveling downstream, the speed of the boat relative to the water is increased by the speed of the current. Therefore, the effective speed of the boat downstream can be calculated as b + c. We are given that the boat traveled 120 miles downstream in 8 hours, so we can set up the equation:

120 = (b + c) * 8

Similarly, when the boat is traveling upstream against the current, the speed of the boat relative to the water is decreased by the speed of the current. Therefore, the effective speed of the boat upstream can be calculated as b - c. We are given that the boat traveled 63 miles upstream in 9 hours, so we can set up the equation:

63 = (b - c) * 9

By solving this system of equations, we find that the speed of the boat in still water (b) is 15 mph.

To learn more Speed

brainly.com/question/17661499

#SPJ11

The expressions aaaaaaa, aabbbb, aabbccc, and 3xxyyyz will be a⁷, a²b⁴,  a²b²c³, and 3x²y³z.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that if x is multiplied by n time of x, then we can be written as xⁿ.

1. aaaaaaa = a⁷

2. aabbbb = a²b⁴

3. aabbccc = a²b²c³

4. 3xxyyyz = 3x²y³z

The expressions aaaaaaa, aabbbb, aabbccc, and 3xxyyyz will be a⁷, a²b⁴,  a²b²c³, and 3x²y³z.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

The length, width, and height of the box are 6 inches, 4 inches, and 2 inches

Since the volume of the box is 60 cubic inches, we have:

length × width × height = 60

We are also given that the width is 2 inches less than the length, and the height is 4 inches less than the length. Let's use l for the length, so we have:

width = l - 2

height = l - 4

Substituting these values into the volume equation, we get:

l × (l - 2) × (l - 4) = 60

Expanding the left-hand side, we get:

l^3 - 6l^2 + 8l - 60 = 0

We can factor this equation as:

(l - 6)(l^2 + 2l - 10) = 0

The solutions are:

l = 6 or l = -1 ± √11

Since the length of the box must be positive, we reject the negative solution and get:

length = l = 6 inches

width = l - 2 = 4 inches

height = l - 4 = 2 inches

Therefore, the length, width, and height of the box are 6 inches, 4 inches, and 2 inches, respectively.

Learn more about volume

brainly.com/question/1578538

#SPJ11

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

Learn more about water in: https://brainly.com/question/28465561
#SPJ1

Answer:

D

Step-by-step explanation:

from what I could tell, it sounds like D would be correct

When the length is 14 cm and the width is 4 cm, the area of the rectangle is increasing at a rate of 140 cm²/s.

To find how fast the area of the rectangle is increasing, we will follow these steps:

1. Write the formula for the area of a rectangle: Area = length × width
2. Differentiate both sides of the formula with respect to time (t): d(Area)/dt = (d(length)/dt) × width + length × (d(width)/dt)
3. Plug in the given values: length = 14 cm, width = 4 cm, d(length)/dt = 7 cm/s, and d(width)/dt = 8 cm/s.
4. Calculate d(Area)/dt.


1. Area = length × width
2. d(Area)/dt = (d(length)/dt) × width + length × (d(width)/dt)
3. d(Area)/dt = (7 cm/s) × 4 cm + 14 cm × (8 cm/s)
4. d(Area)/dt = 28 cm²/s + 112 cm²/s = 140 cm²/s

So, when the length is 14 cm and the width is 4 cm, the area of the rectangle is increasing at a rate of 140 cm²/s.

Learn more about "area of rectangle": https://brainly.com/question/13048427

#SPJ11

When the length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 8 cm/s, and the length is 14 cm and the width is 4 cm, the rate of change of the area of the rectangle is 92 cm²/s.

The formula for the area of the rectangle is A=l*w

where A is the area of the rectangle,

l is the length of the rectangle, and

w is the width of the rectangle.

According to the problem, the length of the rectangle is increasing at a rate of 7 cm/s:

dl/dt = 7 cm/s.

The width of the rectangle is increasing at a rate of 8 cm/s:

dw/dt = 8 cm/s.The length of the rectangle is 14 cm: l = 14 cm.

The width of the rectangle is 4 cm:

w = 4 cm.

We have to find how fast the area of the rectangle is increasing, i.e., dA/dt.

We know that A=l*w

Taking the derivative of both sides with respect to time, we get

dA/dt = dl/dt*w + l*dw/dt

dA/dt = 7*4 + 14*8

dA/dt = 28 + 112

dA/dt = 140 cm²/s

Therefore, the rate of change of the area of the rectangle is 140 cm²/s.

#SPJ11

Learn more about derivatives:https://brainly.com/question/9543179

Answer:

183in^2

Step-by-step explanation:

Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.

15x26=390in

We now want to figure out the small rectangle on the bottom of the image.

The area of a triangle is A=hb/2

A=6x15/2=45

In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.

45x2=90

Finally, we can solve for the remaining triangle.

A=9x26/2=117

Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.

390-(90+117)=183in^2

Hope this helps :)

The substantive tests for sales and cash receipts from the audit program for the Barndt Corporation include Analyzing sales transactions: This involves examining sales invoices, sales orders, and shipping documents to ensure the accuracy and completeness of sales revenue.

Testing cash receipts: This step focuses on verifying the accuracy of cash received by comparing cash receipts to the recorded amounts in the accounting records. The auditor may select a sample of cash receipts and trace them to the bank deposit slips and customer accounts. Assessing internal controls: The auditor evaluates the effectiveness of the company's internal controls over sales and cash receipts. This may involve reviewing segregation of duties, authorization procedures, and the use of pre-numbered sales invoices and cash register tapes.

Confirming accounts receivable: The auditor sends confirmation requests to customers to verify the accuracy of the accounts receivable balance. This provides independent evidence of the existence and validity of the recorded receivables. It's important to note that these are just examples of substantive tests for sales and cash receipts. The specific tests applied may vary depending on the nature and complexity of the Barndt Corporation's business operations. The auditor will tailor the audit procedures to address the risks and objectives specific to the company.

To know more about substantive visit :

https://brainly.com/question/30562013

#SPJ11

The data available, we can say that 81% of all eligible students in Connecticut took the SAT during the 1994-1995 school year.

This percentage can provide us with insights into the educational landscape of Connecticut and the students' interest in higher education.

The percentage of students who took the SAT can be used as a measure of college readiness, as it reflects the students' willingness to pursue higher education.

It should be noted that the SAT is not the only indicator of college readiness, and there are other factors that should be taken into consideration, such as academic performance, extracurricular activities, and personal characteristics.

Additionally, the percentage of students who took the SAT can also be used as a benchmark for educational policy makers to evaluate the effectiveness of their policies and initiatives aimed at increasing college readiness and access to higher education.

It is important to consider the limitations of the data available.

For instance, we do not know the reasons why the other 19% of eligible students did not take the SAT.

It is possible that some students opted for other standardized tests, such as the ACT, or decided not to pursue higher education.

Additionally, the data does not provide insights into the students' performance on the SAT or their college admissions outcomes.

The percentage of students who took the SAT in Connecticut during the 1994-1995 school year can provide us with valuable insights into the educational landscape and college readiness of Connecticut students, but should be interpreted with caution and in conjunction with other indicators and data sources.

For similar questions on education

https://brainly.com/question/30682366

#SPJ11

Answer:

try using maybe it would help?

Step-by-step explanation:

The probability of randomly selecting the chair and the ranking member is 1/105 or approximately 0.0095.

There are 15 members of the Senate Committee on Homeland Security and Governmental Affairs, two of whom are selected to serve as the committee chair and ranking member. Each member is equally likely to be chosen for either of these positions.

To begin, we must first determine the total number of ways two members can be selected from a committee of 15. This is calculated using the combination formula:

nCr = (n!)/((r!)(n-r)!)where n = 15 and r = 2.

Thus,

nC2 = (15!)/((2!)(15-2)!)

nC2 = (15x14)/(2x1)nC2

= 105

Now we must determine the probability of selecting one member to be the committee chair and the other to be the ranking member.

This is calculated as follows: P = 1/105 or approximately 0.0095. Hence, the probability of randomly selecting the chair and ranking member is 1/105 or approximately 0.0095.

To know more about probability visit:-

https://brainly.com/question/31828911

#SPJ11

The tangent vector T(x) is T(x) = (1, 0, y) and T(y) = (0, 1, x) and the normal vector N(x,y) is N(x, y) = T(x) × T(y) = (-y, -x, 1).

To calculate the tangent vectors, we differentiate the vector function G(x, y) with respect to x and y. We obtain T(x) = (1, 0, y) and T(y) = (0, 1, x).

The normal vector N(x, y) is obtained by taking the cross product of the tangent vectors T(x) and T(y). So, N(x, y) = T(x) × T(y) = (-y, -x, 1).

For part (b), we are given a surface S defined by a parameter domain D: {(x, y): x^2 + y^2 ≤ 1, x ≥ 0, y ≥ 0}. We want to evaluate the double integral ∬S 1 dS over this surface. To do this, we use polar coordinates (r, θ) to parametrize the surface S. The surface element dS in polar coordinates is given by dS = r dr dθ.

Substituting this into the integral, we have ∬S 1 dS = ∬D (1+x^2+y^2) dxdy. Converting to polar coordinates, the integral becomes ∬D (1+r^2) r dr dθ. Evaluating this double integral over the given parameter domain D will yield the result.

For part (c), we want to verify and evaluate the formula 4∫S zdS = ∫₀^(π/2) ∫₀¹ (sinθcosθ)r³/(1+r²) dr dθ. Here, we are performing a triple integral over the surface S using cylindrical coordinates (r, θ, z). The surface element dS in cylindrical coordinates is given by dS = r dz dr dθ.

Substituting this into the formula, we have 4∫S zdS = 4∫D (zr) dz dr dθ. Converting to cylindrical coordinates, the integral becomes ∫₀^(π/2) ∫₀¹ (sinθcosθ)r³/(1+r²) dr dθ. Verifying this formula involves calculating the triple integral over the surface S using the given coordinate system.

Both parts (b) and (c) involve integrating over the specified parameter domains, and evaluating the integrals will provide the final answers based on the given formulas.

Learn more about tangent vector here:

https://brainly.com/question/31584616

#SPJ11

Answer:

1. t=30

2. p=64

3. x=36

4. x=40

5. s=100

6. t=9

7. x=12

8. x=12

9. t=100

10. p=27

11. n=180

12. a=42

13. t=25

14. r=27/s

s=27/r

15. b= 384/11, 34.90, or 34 10/11

Step-by-step explanation:

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Approximately 80.8% of the people should get counts in the range of 10 to 30 aces. The closest answer choice is 74%.

To estimate the percentage of people who would get counts in the range of 10 to 30 aces when rolling a die 120 times, we can use the normal distribution approximation.

The number of aces rolled by a person in 120 rolls of a fair die follows a binomial distribution with parameters n = 120 (number of trials) and p = 1/6 (probability of rolling an ace).

To apply the normal approximation, we need to check if the conditions are satisfied. When np ≥ 10 and n(1 - p) ≥ 10, we can approximate the binomial distribution with a normal distribution.

In this case, np = 120 * 1/6 = 20 and n(1 - p) = 120 * (5/6) ≈ 100, so the conditions are met.

Using the normal approximation, the distribution of counts will be approximately normal with mean μ = np = 20 and standard deviation σ = √(np(1 - p)) ≈ 4.32.

To find the percentage of people with counts in the range of 10 to 30, we can calculate the area under the normal curve between those values.

Using a standard normal distribution table or a calculator, we can find that the area under the curve between -1.74 and 1.74 is approximately 0.808, which corresponds to 80.8%.

Therefore, approximately 80.8% of the people should get counts in the range of 10 to 30 aces.

The closest answer choice is 74%.

Learn more about normal distribution here:

https://brainly.com/question/31368450

#SPJ11

Answer:

10.53+14.5+6.9+6.3+6.8

=25.03+6.9+6.3+6.8

=31.93+6.3+6.8

=38.23+6.8

=45.03

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

Answer:

Congruent segments added to congruent segments forms congruent segment .

(7) The monthly payment, to the nearest cent is $1,254.90.

(8) The total of all of the monthly payments over the 25 years is $376,465.45.

(9) Her total interest for the 25 years is $156,355.45

Let's start by calculating the down payment the Domingue family needs to make:

Down payment = 13% of $253,000 = $32,890.

Now let's calculate the principal amount of the loan, which is the amount borrowed from the bank:

Principal amount = Purchase price - Down payment = $253,000 - $32,890 = $220,110.

Next, we need to calculate the monthly payment for the loan. We can use the following formula:

Monthly payment = (Pr) / (1 - (1 + r)⁻ⁿ)

where:

Monthly interest rate = APR / 12 = 4.75% / 12 = 0.00395833.

Total number of monthly payments = 25 years x 12 months per year = 300.

Now we can plug these values into the formula to calculate the monthly payment:

Monthly payment = ($220,110 x 0.00395833) / (1 - (1 + 0.00395833)⁻³⁰⁰

= $1,254.90 (rounded to the nearest cent).

To calculate the total of all the monthly payments over the 25 years, we simply need to multiply the monthly payment by the total number of payments:

Total of all monthly payments = Monthly payment * Total number of payments = $1,254.90 x 300 = $376,465.45

Finally, to calculate the total interest for the 25 years, we need to subtract the principal amount from the total of all the monthly payments:

Total interest = Total of all monthly payments - Principal amount

= $376,465.45 - $220,110 = $156,355.45

Learn more about interest here: https://brainly.com/question/25793394

#SPJ1

Answer:

58

Step-by-step explanation:

5^2 = 5 x 5 = 25

3 x 7 = 21

25 + 21 + 12

The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

learn more x and y-intercepts here: https://brainly.com/question/14180189

#SPJ1

Experiment with different combinations and flavors to create unique and delicious passed appetizers using the leftover ingredients.

When utilizing leftover raw salmon, dairy products, a baguette, and random herbs for passed appetizers, Dorothy has several options to consider. The choice between cold or hot appetizers will depend on her preferences and the available cooking equipment. Here are a few ideas for both cold and hot appetizers:

Cold Appetizers:

Salmon Bruschetta: Slice the baguette and top each slice with thinly sliced raw salmon. Add a dollop of herbed cream cheese or yogurt on top and garnish with fresh herbs.

Smoked Salmon Canapés: Cut the baguette into small rounds and top each with a spread of cream cheese or crème fraîche. Place a piece of smoked salmon on top and garnish with dill or chives.

Salmon Tartare: Finely chop the raw salmon and mix it with diced onions, capers, and a creamy dressing made with dairy products. Serve it on toasted baguette slices and garnish with herbs.

Hot Appetizers:

Salmon Croquettes: Combine leftover raw salmon with mashed potatoes, herbs, and breadcrumbs. Shape the mixture into small patties and pan-fry them until golden brown. Serve with a dip made from dairy products and herbs.

Salmon Stuffed Mushrooms: Remove the stems from large mushrooms and fill the caps with a mixture of cooked salmon, cream cheese, herbs, and breadcrumbs. Bake them until the mushrooms are tender and the filling is golden.

Salmon and Cream Cheese Puff Pastry Pinwheels: Roll out puff pastry dough and spread a layer of cream cheese mixed with herbs. Place strips of smoked salmon on top and roll the pastry into a log. Slice into pinwheels and bake until golden and puffed.

Remember to adjust the recipes based on the available ingredients and personal preferences. Experiment with different combinations and flavors to create unique and delicious passed appetizers using the leftover ingredients.

To know more about combinations visit:

https://brainly.com/question/3901018

#SPJ11