Each veterinarian has seen 40 animals today. Two out of every 5 animals Vet A has seen have been dogs. Three out of every 8 animals Vet B has seen have been dogs. Which vet saw more dogs today? Explain your reasoning.

QUESTION POSTED AT 14/12/2019 - 05:23 PM

Answered by admin AT 14/12/2019 - 05:23 PM

Basically, the fractions are 2/5 vs. 3/8. As always, in order to compare fractions, you must first have a common denominator. The easiest way to achieve that is by multiplying the two denominators by each other. 5*8=40. You must also multiply the numerators by the same thing you multiplied the denominators by, so 3*5=15, and 2*8=16. The new fractions are 16/40 vs. 15/40. Therefore, Vet A has seen more dogs.

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ANSWERED AT 20/01/2020 - 01:14 PM


QUESTION POSTED AT 20/01/2020 - 01:14 PM

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Given that she can travel for period 32 minutes and that there can be no negative time. The answer is:
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ANSWERED AT 20/01/2020 - 01:14 PM


QUESTION POSTED AT 20/01/2020 - 01:14 PM

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1. The reason for statement 2 is
Distributive Property

2. The reason for statement 2 is
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3. The reason for statement 3 is
Associative Property

4. The reason for statement 5 is
Commutative Property

5. The reason for statement 1 is
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The reason for statement 3 is
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ANSWERED AT 20/01/2020 - 01:12 PM


QUESTION POSTED AT 20/01/2020 - 01:12 PM

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ANSWERED AT 20/01/2020 - 01:00 PM


QUESTION POSTED AT 20/01/2020 - 01:00 PM

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ANSWERED AT 20/01/2020 - 12:59 PM


QUESTION POSTED AT 20/01/2020 - 12:59 PM

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Answer:

D. The expression is 3p+10. It takes 40 minutes to shape and fire 10 pots.

Step-by-step explanation:

Let the number of pots in a batch = p

Now, one pot takes 3 minutes to get in a shape.

Then, 'p' pots will take 3p minutes to get in a shape.

Also, it takes 10 minutes to fire one batch of pots.

Thus, the expression for the time taken to form one batch of pots = 3p+10

So, when number of pots = 10 i.e. p= 10.

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Thus, option D is correct.

ANSWERED AT 20/01/2020 - 12:49 PM


QUESTION POSTED AT 20/01/2020 - 12:49 PM

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The amount of gas in the tank would be 93.5%, which is .935 in decimal form. Multiply that by 40 and the answer is 37.4 gallons.

ANSWERED AT 20/01/2020 - 12:49 PM


QUESTION POSTED AT 20/01/2020 - 12:49 PM

Teresa stated that the heights of the students in her class were not a function of their ages. Which reasoning could justify Teresa’s statement? A.Two students are the same age but have different heights. B.Two students have the same height but different ages. C.No two students are the same age or height.

Answer:

Option: A is the correct answer.

A.  Two students are the same age but have different heights.

Step-by-step explanation:

The height of a student could not be a function of the ages of a student because two or more students with the same age may have the different heights .

This means that a value on a x-axis (i.e.  age) is mapped to two or more  values i.e. corresponding y-value ( i.e.  different heights) which violates the definition of function.

Hence, option: A is the correct answer.

ANSWERED AT 20/01/2020 - 12:40 PM


QUESTION POSTED AT 20/01/2020 - 12:40 PM

The amount a car dealership earns for selling a car is directly proportional to the price of the car. The table shows this relationship. What is the constant of proportionality? Car price ($) (x) 20,000 30,000 40,000 Amount earned ($) (y) 1000 1500 2000

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ANSWERED AT 20/01/2020 - 12:40 PM


QUESTION POSTED AT 20/01/2020 - 12:40 PM

A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 cubic centimeters. A triangular prism is shown with base of triangle labeled 24 cm, sides of the triangle labeled 15 cm, and length of the box equal to 30 cm. Part A: What is the height of the box? Show your work. (5 points) Part B: What is the approximate amount of cardboard used to make this candy box? Explain how you got your answer.

Answer:

Part A - 9 cm; Part B - 1836 cm²

Step-by-step explanation:

Part A:  The volume of a triangular prism is given by the area of the base (area of the triangle) multiplied by the length of the box.  To find the area of a triangle, we use the formula A = 1/2bh; this gives us

V = 1/2bhl

Using the information we have gives us

3240 = 1/2(24)(h)(30)

3240 = 360h

Divide both sides by 360:

3240/360 = 360h/360

9 = h

Part B:  We are looking for the surface area of this prism.

There are two triangular sides, each with a base of 24 and a height of 9.  Their areas are:

A = 1/2bh = 1/2(24)(9) = 108 sq cm each.  For two of them, this makes

108(2) = 216 sq cm

There are two rectangular sides whose dimensions are 15 by 30; their areas are

A = 15(30) = 450.  For two of them, this makes

450(2) = 900 sq cm.

There is one rectangular side whose dimensions are 30 by 24.  Its area is

A = 30(24) = 720 sq cm.

This makes the total surface area

216+900+720 = 1836 sq cm.

ANSWERED AT 20/01/2020 - 12:37 PM


QUESTION POSTED AT 20/01/2020 - 12:37 PM

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PD = 
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Therefore, the answer is approximately 0.418 
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ANSWERED AT 20/01/2020 - 12:24 PM


QUESTION POSTED AT 20/01/2020 - 12:24 PM

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Answer:

Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)

Part b) Domain 30\leq x\leq 35

Part c) Range \$360\leq y\leq \$420

Step-by-step explanation:

Let

x------> the number of hours

y-----> total paid

The linear equation that represent this situation is

y=12x

so

Part a)

The independent quantity is the variable x (the number of hours)

The dependent quantity is the variable y (total paid)

Part b) Find the domain

The domain is the interval--------> [30,35]

All real numbers greater than or equal to 30 hours and less than or equal to 35 hours

30\leq x\leq 35

Part c) Find the range

For x=30

find the value of y

y=12(30)=\$360

For x=35

find the value of y

y=12(35)=\$420

The range is the interval-------> [\$360,\$420]

All real numbers greater than or equal to \$360 and less than or equal to \$420

\$360\leq y\leq \$420

ANSWERED AT 20/01/2020 - 12:22 PM


QUESTION POSTED AT 20/01/2020 - 12:22 PM

The seasons graph below shows the average daily temperature over the period of a year. explain how each labeled section of the graph relates to the four seasons

Answer:


Step-by-step explanation:

Given : the seasons graph below shows the average daily temperature over the period of a year.

To Find: explain how each labeled section of the graph relates to the four seasons

Solution:

Considering the graph

"A"is representing Winter (Jan - Feb) when the temperature is the lowest.

"B" is representing Spring when the temperature is increasing.

"C"is representing Summer when the average temperature increase, then decrease.

"D" is representing Autumn when the average temperature is decreasing.


ANSWERED AT 20/01/2020 - 12:21 PM


QUESTION POSTED AT 20/01/2020 - 12:21 PM

Tom is the deli manager at a grocery store. He needs to schedule employees to staff the deli department at least 260 person-hours per week. Tom has one part-time employee who works 20 hours per week. Each full-time employee works 40 hours per week. Write an inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week.

Answer:

260\leq 20+40n

Step-by-step explanation:

Given :

Tom needs to schedule employees to staff the deli department at least 260 person-hours per week.

Tom has one part-time employee who works 20 hours per week.

Each full-time employee works 40 hours per week.

To Find: An inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week.

Solution :

Suppose that there are n number of full time employees.

Since each full time employee work for 40 hours per week .

So, n full time employees work for 40*n =40 n hours per week

And we are given that he  has one part-time employee who works 20 hours per week. so, this part time employee hours are fixed .

Since ,  Tom needs to schedule employees to staff the deli department at least 260 person-hours per week.

Thus inequality becomes :

260\leq 20+40n

Hence the inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week :

260\leq 20+40n


ANSWERED AT 20/01/2020 - 12:19 PM


QUESTION POSTED AT 20/01/2020 - 12:19 PM

Which expression can be used to find 40% of 130

130 x .4 = 52

52 is 40% of 130

ANSWERED AT 20/01/2020 - 12:18 PM


QUESTION POSTED AT 20/01/2020 - 12:18 PM

Which angle measure below is not a possible measure of an exterior angle of a regular polygon? 45° 36° 40° 54°

All exterior angles of a regular polygon would equal 360 degrees. SO... based on that, one exterior angle would have to multiplied by whatever sum (whole number) to equal 360 degrees to find the number of sides. Here you divide 360 by one of the exterior angles, if it does not equal a whole number then it would be inaccurate.
In this case only 54 degrees would not fit into one of the exterior angles.

ANSWERED AT 20/01/2020 - 12:16 PM


QUESTION POSTED AT 20/01/2020 - 12:16 PM

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.

Let's take one side of the two equal lengths as r
third side is s.
so the total perimeter is r + r + s
2r + s = 23

According to the statement of third side s, 
5 less than twice the length of one of other
s = 2r - 5

we have 2 equations and 2 unknowns. so we can find out the values of those letters.

2r + s = 23
2r - s = 5

4r = 28
r = 7

s = 9
Therefore the third length will be equal to 9 cm.


ANSWERED AT 20/01/2020 - 12:06 PM


QUESTION POSTED AT 20/01/2020 - 12:06 PM

Jordan uses a linear equation to model the data in a table. Which reasoning might Jordan have used in the decision to model the data with a linear equation? a.The products of corresponding x- and y-values are equal. b.The ratios of consecutive y-values are equal for evenly spaced x-values. c.The change in y-values is not constant, but the change is constant for evenly spaced x-values. d.The change in y-values is constant for evenly spaced x-values.

By definition, a linear equation in its standard form is given by:
 y = mx + b

 Where,
 m: slope of the line
 b: cut point with the y axis (occurs when x = 0)
 The value of m, b is constant.
 Therefore, the value of the rate of change of the function, which is represented by the slope of the line, is constant.
 This means that for each value of x, the value of the function increases m times.
 Answer:
 
d.The change in y-values is constant for evenly spaced x-values.

ANSWERED AT 20/01/2020 - 12:05 PM


QUESTION POSTED AT 20/01/2020 - 12:05 PM

Which shows 232 − 172 being evaluated using the difference of perfect squares method? 232 − 172 = (529 + 289)(529 − 289) = 196,320 232 − 172 = 529 − 289 = 240 232 − 172 = (23 + 17)(23 − 17) = (40)(6) = 240 232 − 172 = (23 − 17)2 = (6)2 = 36

When a binomial is composed of two perfect squares separated by a subtraction symbol, a certain method called the difference of perfect squares can be used. The difference of perfect squares method can be done by multiplying the sum and difference of the two square roots. This is shown below:

23^2 - 17^2 = (23 + 17)(23-17) = (40)(6) = 240 

ANSWERED AT 20/01/2020 - 12:00 PM


QUESTION POSTED AT 20/01/2020 - 12:00 PM