Modeling and Solving a Problem:
An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?

Explain how you would define a variable for this problem.

Answer:

In order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.

Explanation:

 To keep up with rising cost a carpenter needs to increase his $30.00 per hour rate by 18%.

So hour rate of carpenter = 30.00 $

Rate of increase = 18 % = 0.18

New hour rate = Initial hour rate + Rate of increase x Initial hour rate

                         = 30 + 0.18 x 30 = 30 + 5.4 = 35.40 $

So in order to keep up with rising cost carpenter needs to increase his $30.00 per hour rate to 35.40 $.

The carpenter's new hourly rate after an 18% increase on his current rate of $30.00 will be $35.40 per hour.

To calculate the new hourly rate with an 18% increase, first find 18% of the carpenter's current $30.00 per hour rate. The formula for calculating the percentage increase is:

Percentage increase in wage = (Current hourly rate) x (Percentage increase) / 100

In this case, the calculation would be: $30.00 x 18% / 100 = $5.40.

Next, add this increase to the current rate to find the new rate:

New hourly rate = Current hourly rate + Increase in wage

Applying the values:

New hourly rate = $30.00 + $5.40 = $35.40 per hour.

So, the carpenter needs to charge $35.40 per hour to achieve an 18% increase in his rate.

Counter example:-  a trapazoid is a quadrilateral  which has only one pair of parallel sides unlike a rectangle which has 2.  So the conjecture is false.

Answer:

a trapezoid is a quadrilateral and it is not a rectangle

Step-by-step explanation:

63.66%x=24

x=240000/6366

=40000/1061

Bop estimated by subtracting 286 from 336 (equation: 336 - 286). He got the answer 50, so that is how he made his estimation.

12/5 is the answer because if you use the help of "SohCahToa" you find that 12 is the opposite side of angle A and 5 is the adjacent angle

The Correct answer would be )9

27

----     = k                 K- Constant Variation

3

Hope This Helps

-Dante

9 is correct

27/3 = 9

Equation is x= 558 t2/496

x=4.5

I got the answer from another brainly user asking the same question. Someone else answered it. I just typed your question into the search bar and got it. Good luck <3

A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2).

rule (x + 7, y − 1)

To find new  coordinates we add 7 with x  and subtract 1 from y

A(−2, 2)  -----> A' (5,1)

B(−2, 4) -------> B' (5, 3)

C(2, 4) ---------> C' (9, 3)

D(2, 2) -------->D' (9, 1)

Characteristics

When we connect all the points by line segments, the line A'B' will be parallel to C'D'.

Also, B'C' parallel to A'D'.

All the four lines forms a rectangle .

The new coordinates of the points are A'(5, 1), B'(5, 3), C'(9, 3), and D'(9, 1).

When you connect the vertices, you have a rectangular prism.

Total number of marbles = 10

Number of red marbles = 4

Number of blue marbles = 6

Probability = [tex]\frac{number of favorable outcomes}{total number of outcomes}[/tex]

The probability that the first marble is blue = [tex]\frac{6}{10}[/tex]

The probability that the first marble is red = [tex]\frac{4}{9}[/tex] ; 9 because 1 marble has already been taken out.

Joint probability= probability of event A * Probability of event B

= [tex]\frac{6}{10}\times\frac{4}{9}[/tex]=[tex]\frac{24}{90}= \frac{4}{15}[/tex]

The answer to this question is 100,000 exactly.

Final answer:

The sampling distribution of the sample mean will be approximately normally distributed with a mean of 64 and a standard error calculated by dividing the population standard deviation (25) by the square root of the sample size (155).

Explanation:

The student's question involves the concept of the sampling distribution of the sample mean. Given a population with a mean (μ) of 64 and a standard deviation (σ) of 25, and drawing samples of size 155, the sampling distribution of the sample mean will have a mean equal to the population mean, which is 64. The standard deviation of the sampling distribution (σx), known as the standard error, will be the population standard deviation (σ) divided by the square root of the sample size (n), thus σx = 25/ √155. As the sample size is large, according to the central limit theorem, this sampling distribution will be approximately normal.

Therefore, the sampling distribution of the sample mean will be approximately normally distributed with a mean (μx) of 64 and a standard error (σx) which can be calculated as mentioned above.

the question in English

Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4

How much will the square side of the copy measure?

Will the size of the copy be larger or smaller than the original?

we know that

the scale factor is equal to [tex]\frac{3}{4}[/tex]

Let

x----------> the original length side

y--------> the copy length side

[tex]y=\frac{3}{4}*x[/tex]

we have that

[tex]x=5\ cm[/tex]

substitute the values

[tex]y=\frac{3}{4}*5=3.75\ cm[/tex]

therefore

the answer Part a) is

the length side of the copy measure is [tex]3.75\ cm[/tex]

Part b)

we know that

the size of the original photo is------> [tex]5*5=25\ cm^{2}[/tex]

the size of the copy is------> [tex]3.75*3.75=14.06\ cm^{2}[/tex]

so

[tex]14.06\ cm^{2} < 25\ cm^{2}[/tex]

therefore

the answer part b) is

The size of the copy be smaller than the original

The statement "a cone is a polyhedron" is false. The correction option is B.)False

A polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.

Whereas, a cone is a three-dimensional geometric figure that has a flat surface and a curved surface, and is pointed towards the top.

From the above definitions, we can infer that a cone is not a polyhedron.

Hence, the statement "a cone is a polyhedron" is false. The correction option is B.)False

Learn more on Polyhedron here: https://brainly.com/question/3204708

#SPJ1

Answer: True

Step-by-step explanation:

r = 4*10^8 is the average distance from the earth to the moon (in meters).

m1 = 6*10^24 is the mass of the earth

m2 = 7*10^22 is the mass of the moon

G = 7*10^(-11) is the gravitational constant

Plug those values into the formula shown on the attached image (see below). Then simplify. When doing all that, I get the answer to be 1.8 * 10^20 newtons, so I'm not sure where your teacher is getting 52 as the exponent.

The converse of 'If it is October 31, then it is Halloween' is 'If it is Halloween, then it is October 31.' The contrapositive is 'If it is not Halloween, then it is not October 31.'

In logic and mathematics, we often explore the relationships between statements through their converses and contrapositives. Starting with the conditional statement, 'If it is October 31, then it is Halloween,' we can form the converse and contrapositive as follows:

https://brainly.com/question/36974334

#SPJ3

The sample space for spinning a spinner with two sectors labeled A and B, and rolling a number cube, is {A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}.

The sample space for the experiment of spinning a spinner with two sectors labeled A and B, and rolling a number cube, can be determined by listing all the possible outcomes. The outcomes will be the combination of all possible results from spinning the spinner (A or B) and rolling the number cube (1, 2, 3, 4, 5, or 6). Therefore, the sample space is {A1, A2, A3, A4, A5, A6, B1, B2, B3, B4, B5, B6}.

What does the graph of eˣ look like?  It has an asymptote at y = 0, passes through (0, 1) and goes to ∞.

y = 4eˣ has a vertical stretch by a factor of 4 compared to the parent graph so the range is the same as it's parent graph.

Range: y > 0     Interval Notation: (0, ∞)

Answer:

Step-by-step explanation:

The garden club earned $15 per hour by weeding neighborhood gardens for t hours.

A generous donor has agreed to double their earnings.

Double their earnings means we multiply by 2

So earning 15 per hour becomes 2*15 = 30 per hour

Given the number of hours is t

Earnings = $30 times number of hours

Earnings = 30 * t

Given that earning for 1 hour by weeding neightborhoods garden = $15

Then earning for 2 hours by weeding neightborhoods garden = $15*2= $30

Then earning for 3 hours by weeding neightborhoods garden = $15*3

Using same pattern earning for t hours by weeding neightborhoods garden = $15*t= $15t

Not it says that earning is doubled means you are getting 2*15 or $30 per hour

then new earning will be $30t in place of $15t

Hence final answer is $30t.

Answer:

Distance from chin to forehead is 1.5 times the distance between ears.

Step-by-step explanation:

We are told that distance from chin to forehead for the average person is 9 inches and distance between a person's ears is 6 inches. We are supposed to compare the ratio of a person's chin to forehead distance with respect to the distance between his ears.

We can present our given information as: [tex]\frac{9}{6}[/tex]

[tex]\frac{9}{6} =1.5[/tex]

Therefore, distance from chin to forehead is 1.5 times the distance between ears.

Answer:

the answer is 3/2 I just answered and got it right

Final answer:

The price per pound of turkey is $7.98.

Explanation:

To find the price per pound, divide the total cost by the weight. In this case, Bryan paid $19.95 for 2.5 pounds of turkey. So, the price per pound is $19.95 divided by 2.5, which is $7.98 per pound.To calculate the price per pound of turkey that Bryan paid, we divide the total cost by the total weight. Bryan paid $19.95 for 2.5 pounds of turkey.

Divide the total cost by the total weight in pounds.

$19.95 ÷ 2.5 pounds = $7.98 per pound

Thus, the price per pound of turkey that Bryan paid is $7.98.

Solution 1:

In the given statement :

"The settlers traveled west in covered wagons"

The Predicate is traveled west in covered wagons.

So option c. traveled west in covered wagons is the correct choice.

Solution 2:

In the given sentence:

"Soon, telegraph lines provided additional communication to the city."

The simple subject and verb are given by lines provided.

Answer : Option a: lines provided.

Let us say original price of the laptop was x dollars.

Price paid by Tom for the laptop = $245.97

Now this price paid by tom was 3/5 of the original price.

So we can make an equation using this information as :

[tex]\frac{3}{5}x=245.97[/tex]

So here 3/5 is in multiplication on the left, so dividing it on the right side we have:

x=409.95

So the original price of the laptop was $409.95

Answer: The original price of the laptop was 409.95 dollars.

Answer:

$409.95

I hope this helps. Have a nice day :D

Answer:

(1) .20 (2) .40 (3) .12 (4) Less than

Step-by-step explanation:

You have to look at the table.  There are 5 columns with 10 rows.  5x10=50

Then simply count the boxes that have the correct number of currency for instance, if they are asking for EXACTLY 1 dime then you rule out the ones that have 2 or 3 dimes and only the count the ones that have a single dime.   So you count PDN but you would not count PDD.  There are 20 boxes that have a single dime in them.  20 out of the 50 boxes. 20/50=.40 (answer 2)

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is . 20

The estimated probability that exactly one of the three coins Avery randomly picked is a dime is . 40

The estimated probability that all three coins Avery randomly picked are pennies is . 12

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%.  20% is less than 40% so...

The estimated probability that exactly two of the three coins Avery randomly picked are nickels is  LESS THAN the estimated probability that exactly one of the three coins Avery randomly picked is a dime.

Answer:

The answer to #1 is .20 or 20% and the answer to #2 is .40 or 40%.  20% is less than 40% so...

(5y   +   6 )    -    (10y    +  3 )

Let's simplify step-by-step.

5y    +     6      −(10y    +    3)

Distribute the Negative Sign:

=        5y     +     6    +    −1(10y     +    3)

=        5y     +     6    +    −1(10y)     +     (−1)(3)

=        5y     +    6    +    −10y     +      −3

Combine Like Terms:

=       5y     +     6    +     −10y       +      −3

=      (5y     +     −10y)      +      (6     +      −3)

=       −5y     +      3

Answer:       =      −5y   +    3

Hope that helps!!!!!                                : )

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