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The slopes of a quadrilateral are -1/2, 3/2, -1/2, and 3/2. What conclusion about this shape can be made?
A. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and Thus two pairs of parallel opposite sides.

B. The quadrilateral is a trapezoid, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

C. The quadrilateral is a parallelogram, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.

D. The quadrilateral is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.

Answer:

97

Step-by-step explanation:

Number of adult tickets = a.

Number of student tickets = s.

"A total of 388 tickets were sold"

a + s = 388

"the number of student tickets sold was three times the number of adult tickets sold"

s = 3a

a + s = 388

s = 3a

Substitute s in the first equation with 3a.

a + 3a = 388

4a = 388

a = 97

Answer: 97 tickets

Answer:

x= 20

Step-by-step explanation:

2x + 60 = 100

> subtract 60 both sides

2x = 40

> divide both sides by 2

x= 20

Answer:

20

Step-by-step explanation:

2x+60=100

-60

2x=40/2

x=20

Answer:

D) 215°

Step-by-step explanation: First, straight line angle measures 180°

Plus the angle formed by the perpendicular, 90°

then subtract 55° to obtain your final answer.

hope this is helpful

Answer:

y = 3x + 2

Step-by-step explanation:

whatever how much the money is for one day on the object just multiply the money by the days it's rented out and add together the snowboard total and the boots total

Answer:

358

Step-by-step explanation:

Answer:  While I am not in your class and can not unfortunately specifically help with this I can still give you a basic overview of what you need to know in most pre algebra courses and you can hopefully then use this information in the best way possible.

Step-by-step explanation:  Some of the basic pre algebra concepts include:

Knowing your basic addition, subtraction, multiplication, and division.  I am assuming you know how to do this sort of math.  For example, I mean problems such as 5+4 or 10/5, but if you do need help with these just ask me and I can help you further.

Basic variable usage:  This means being able to solve problems such as x + 10 = 15.  I can help walk you through this sort of problem.  The variable (which is usually represented by the letter x) is used as a placeholder for an unknown number that you need to solve for.  You can think of this more simply in the example I gave as What plus 10 is equal to 15.  That might help you get the basics down if you can think of a problem that way.  As you can probably tell now the answer would be 5.  There may be also more advanced problems regarding variables but not all pre algebra classes will include this material so if you need a review in this you can ask me as well.

Another basic concept is the concept of solving equations.  This can also mean using both addition and multiplication within one equation or things of that nature.  These equations can look something like 18 - (5 + 3^2) + 7 and I can help walk you through a problem like this.  An important fact to remember is the order of operations, which is the way in which you must solve more complex equations like this or if you need to think of it another way it can mean the way you break down an equation.  You probably have heard of PEMDAS before and this is the way you can remember the order of operations.  It is an acronym with each of the letters representing an operation.  P = parenthesis E = exponents M = Multiplication D = division A = addition and S = subtraction.  Now we can use this to solve the equation!  First we should start within the parenthesis so lets only look at that portion of the problem for now to keep things simpler.  Inside the parenthesis it said 5 + 3^2  We see addition and exponents within the parenthesis so because of PEMDAS we should start with the exponent.  Exponents just mean the amount of times you need to multiply the base number by itself.  The base number is the number the exponent is "attached" to.  Our base number is 3 and the exponent is 2 which means we should do the following math 3 * 3 which equals 9  Now we can go back to our original problem inside the parenthesis.  In place of the 3^2 we can instead put 9 now as we know its the answer for that part of the problem.  What we have now is 5 + 9  and we can simply add that to get 14.  This means inside the parenthesis we can replace with just the number 14 as we have already solved everything we need for it.  The equation now looks like --> 18 - (14) + 7.  Now what we have left is addition and subtraction.  Remember on PEMDAS how multiplication and division were next to each other along with addition and subtraction?  For these 4 just because they are next to each other does not dictate the other rather when you are dealing with either just multiplication and division in a problem you work left to right and the same goes for addition and subtraction and since our resulting problem only has addition and subtraction left we will simply just work from the left of the equation to the right.  Our problem as of now is 18 - (14) + 7.  18 - 14 = 4 so we can now have the equation be 4 + 7 and after adding we get our answer which is 11!  I hope you were able to follow along with that and my explanations were satisfactory.

Hopefully at least some of this included in your module 4 but if you would elaborate more I would more than happily assist you more so please do not hesitate to reach out :)

Edit for extra information:

https://rb.gy/qslgfv

If you have anymore questions regarding this information if you would still like me to go over equations with inequalities just let me know!

Answer:

D

Step-by-step explanation:

I say D because if you just multiply each number on there you get 210.

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

Step-by-step explanation:

1. Put the words into math

3  3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8

3 1/4/2 3/8=

1 7/19

2. Answer: 1 7/19

Answer:

all three angles should add up to 180 so subtract what you know from 180 and you should be able to find everything from there

Answer:

x = 10

g = 71

Step-by-step explanation:

All of the angles added together equal 180

I hope this helps!

$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.

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\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:1,200

Step-by-step explanation:

Answer:

1,200

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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Therefore, the average debt for a sophomore, a junior, and a senior combined is $2148.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). Each part of the equation can contain variables, constants, and mathematical operations (such as addition, subtraction, multiplication, and division). The variables in an equation represent unknown quantities that we are trying to solve for, while the constants are fixed values.

Here,

Let's denote the average debt for a sophomore by x. Then, the average debt for a junior is x + 504, and the average debt for a senior is x + 1175.

According to the problem, the combined debt for a sophomore, a junior, and a senior is $6446. Therefore, we can write:

x + (x + 504) + (x + 1175) = 6446

Simplifying and solving for x, we get:

3x + 1679 = 6446

3x = 4767

x = 1589

Therefore, the average debt for a sophomore is $1589. To find the average debt for a junior, we add $504 to this amount, giving an average debt of $2093. To find the average debt for a senior, we add $1175 to the amount for a sophomore, giving an average debt of $2764.

Finally, to determine the average debt for a sophomore, a junior, and a senior combined, we add these three amounts and divide by 3:

($1589 + $2093 + $2764)/3 = $2148

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62

8190

1) Gathering the data:

So Adding the 2 + 4 +8 +16+32 Then we can write that up to the 5th generation each person has 62 ancestors.

2) Or we can check. Let's write out considering that the ratio is 2 and the first term is 2 since the person per se is not counted.

3) Hence, each person has counting back up to the 5th generations 62 ancestors and 4094 when it comes to 11 generations

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

6a+18ab

I think is correct

Answer:

6a+18ab

Step-by-step explanation:

hope this helps

Answer:3/32ounces

Step-by-step explanation:

Answer:

Avery's bottle holds 300 milliliters (already known) and Dashawn's bottle holds 225 milliliters.

Step-by-step explanation:

I simply did this by finding out what 3/4 of 300 was. You can it this way:

Divide 300 by 4. You get 75.

Now, since Dashawn's bottle holds 3/4 as much, you multiply 75 by 3.

75 x 3 = 225

Therefore, your answer is 225ml.

Hope I helped! ☺

Answer:

25 days

Step-by-step explanation:

200/8 = 25

25 days

Answer:

25 days

Step-by-step explanation:

You would take 200 ÷ 8 to get the amount of days it took her to make the frogs, which is 25 days because 8 × 25 = 200.

Answer:

\(v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}\)

Step-by-step explanation:

The given formula is :

\(H=\dfrac{m(v^2-u^2)}{2gx}\)

We need to find the formula for v.

Cross multiplying the given formula.

\(H\times 2gx=m(v^2-u^2)\)

Dividing both sides by m. So,

\(\dfrac{H\times 2gx}{m}=\dfrac{m(v^2-u^2)}{m}\\\\(v^2-u^2)=\dfrac{H\times 2gx}{m}\)

Adding both sides by u².

\((v^2-u^2)+u^2=\dfrac{H\times 2gx}{m}+u^2\\\\v^2=\dfrac{H\times 2gx}{m}+u^2\\\\\text{So},\\\\v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}\)

Hence, this is the required formula.

Answer:

80 miles per day

Step-by-step explanation:

Let the unit rate be x miles per day for humpback whale

It means that in one day humpback whale travels x miles

Given that it traveled for 25 days

in 1 day humpback whale traveled = x miles

in 1*25 days humpback whale traveled = x*25 miles

Thus, in 25 days humpback whale traveled 25x miles

given that humpback whale traveled 2000 mile sin 25 days

thus,

25x = 2000

x = 2000/25 = 80

Thus, unit rate for humpback whale is 80 miles per day

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer:

y = 18x + 60

Step-by-step explanation:

The slope intercept equation is:

y = mx + b

For this problem:

y will represent the total cost of the technician

m will represent cost per hour

x will represent number of hours

b will represent the initial cost

With this in mind, we can plug these into our equation

y = 18x + 60

Answer:

in slope intercept this would look like y = 18x + 60

Answer:

6/7

Step-by-step explanation:

P(yellow or even) = 3/7 + 3/7  =  6/7