In Brock’s class of 25 students, 15 students report that math is their favorite class and 40% of the students report that science is their favorite class. Show your work to explain how to determine whether more students prefer math or science.
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Problem 16

This is because the two smaller sides 8 and 10 add to 8+10 = 18, but this is not greater than the side 21. For a triangle to be possible, the sum of any two sides must be larger than the third side. I recommend cutting out slips of paper of these lengths to confirm that a triangle is indeed not possible in this case.

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Problem 17

Choice A is not the answer because 13+8 = 21, but that's not larger than the third side 21.

Choice C is not the answer because 6+11 = 17 which is not larger than 24.

Choice B is the only possible answer. Note we have the three following true inequalities

So adding any two sides of this triangle leads to a sum larger than the third side. We're using the triangle inequality theorem.

Answer:

2 or 4

Step-by-step explanation:

Answer:

10x + 8y = $200

Where y > 12

Step-by-step explanation:

Let x represent how many shirts he sells

y represent how many hats he sells.

John is doing a fundraiser for school. He needs to sell at least $200 worth of items. John is selling shirts for $10 each and hats for $8 each.

He must sell more than 12 hats.

y > 12

$10 × x + $8×y = $200

10x + 8y = $200

Where y > 12

The system of inequalities that model this situation is :

10x + 8y = $200

Where y > 12

Answer:

It will last 18 days.

Step-by-step explanation:

Answer:

its 18 days

Step-by-step explanation:

what i did was divide 42 divided by 2

then i added 21 1/3 and got 18

Answer:

Step-by-step explanation:

First, subtract 2.04 by 30

30 - 2.04 = 27.96

Next, divide 27.96 by 4.

27.96/4 = 6.99

Each bag of candy cost $6.99

:)

Answer:

∠A = 90  

∠B = 30

∠C = 60

Step-by-step explanation:

Let ∠B = x

∠A = 3x

∠C = x + 30

Angle sum property of triangle: Sum of three angles of triangle is 180

x + 3x + x + 30 = 180   {Combine like terms}

         5x  + 30 = 180

                    5x = 180 - 30

                   5x = 150

                     x = 130/5

x = 30

∠A = 3*30 = 90

∠C = 30 + 30 = 60

Answer:

y=3/4x-9

Step-by-step explanation:

Answer:

The second number is the smallest of the three numbers with

value n = 16.

Step-by-step explanation:

Let n represent the second number, then the first number is 2n and the third number is 4n.

so

[tex]n+2n+4n=112[/tex]

Solving for n

[tex]n+2n+4n=112[/tex]

[tex]7n=112[/tex]

[tex]\frac{7n}{7}=\frac{112}{7}[/tex]

[tex]n=16[/tex]

As n = 16 is the second number.

The first number = 2n = 2(16) = 32

The third number = 4n = 4(16) = 64

Therefore, the second number is the smallest of the three numbers with value n = 16.

Answer:

8

Step-by-step explanation:

Answer

8yz - 3y + Z

Step-by-step explanation:

Answer:=8yz−3y+z

Step-by-step explanation:

Hope it helps!

Answer:

Step-by-step explanation:

F(x)=6x+15

f(x)=6(-15)+15

f(x)=-75

Answer:

D f(x)=-x2+10

Step-by-step explanation:

did on edge

Answer:

Yes

Step-by-step explanation:

Their ratios are equivalent

Answer:

It is d

Step-by-step explanation:

Here is the set up:

A = area of rectangular garden = 6/7.

Let l = length = 3/5.

Let w = width

A = lw

6/7 = (3/5)w

Solve for w.

Given :

Rachel is sitting in a tree 15 feet above the ground.

A minute ago, she spotted a skunk 40 feet from the base of the tree walking closer to her. Now, the skunk is 20 feet from the base of the tree.

The diagonal line from Rachel to the skunk is the distance between them.

To Find :

How much closer is the skunk to Rachel now than it was a minute ago.

Solution :

Initial distance,

[tex]d_i=\sqrt{15^2+40^2}\\\\d_i=42.72\ feet[/tex]

Final distance,

[tex]d_f=\sqrt{15^2+20^2}\\\\d_f=25\ feet[/tex]

Therefore, skunk is ( 42.72 - 25 ) = 17.72  feet closer to Rachel now than it was a minute ago.

Hence, this is the required solution.

Answer:

5

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

12-6x=-8x+7+7x

-6x+8x-7x=7-12

-5x=-5

X=5/5

X=1

So the value of X is 1

Step-by-step explanation:

1. keep the demoninator the same

2. to find the numberator, multiply the demoninator number by the whole number, and add the product of that with the numerator number.

example:

2 3/8 = 19/8

1. so, keep the denominator the same, which means that the denominator is 8

2. to find the numerator, you do:

8 times 2 = 16

16 + 3 = 19

--

therefore, the improper fraction of 2 3/8 is 19/8

i hope that helps explain/clarify what you're confused with. :D

Given:

The equation is

[tex]4(x-3)+5=17[/tex]

To find:

The solution of given equation.

Solution:

We have,

[tex]4(x-3)+5=17[/tex]

Using distributive property, we get

[tex]4(x)+4(-3)+5=17[/tex]

[tex]4x-12+5=17[/tex]

[tex]4x-7=17[/tex]

Adding 7 on both sides, we get

[tex]4x-7+7=17+7[/tex]

[tex]4x=24[/tex]

Divide both sides by 4.

[tex]x=\dfrac{24}{4}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6.

Answer:

Between -0.75 and 2/3 thirds.

Step-by-step explanation:

Given that:

A list of three numbers.

2/3 thirds, 1.75 and −0.75

Let us convert them all in decimal points.

0.67, 1.75 and -0.75.

Now, let us sort them in the ascending order.

-0.75, 0.67, 1.75

Looking at the given number to be placed: [tex]\frac{1}{4}[/tex] which is equal to 0.25

Now, let us place them on a number line.

We can clearly see that the given number will be between -0.75 and 2/3 thirds.

Kindly have a look at the answer area for the attached image containing the number line for the list of numbers and the given number.

Answer:

12.22

Step-by-step explanation:

θ = 42°

We solve using Tangent rule of trigonometry.

tan θ = Opposite/Adjacent

GH = Opposite = 11

HI = Adjacent = ?

From the question

tan42∘≈0.90

Hence:

0.90 = 11/HI

HI = 11/0.90

HI = 12.222222222

Approximately = 12.22

Answer:

Graph A

Step-by-step explanation:

Answer: 64

supplementary angles; 180-116=64

The  m∠1 is 64.

Given that,

Based on the above information, the calculation is as follows:

= 180 - 116

= 64

Learn more: https://brainly.com/question/5303391?referrer=searchResults

Answer:

a and b*

Step-by-step explanation:

it's kinda self explanatory. she isn't very good at communicating with others. she is rude and disrespectful.

Answer:

Definitely start with outlining one essay, then doing all of your steps, although don't do much re-writing since there may not be enough time. only focus on one at a time though. as for the questions, since it says pre-essay it wants that completed first but unless you have to do it first, i would do it last since the essays are more important.

Answer:

4.25

Step-by-step explanation:

Answer:

The answer is 17.

Step-by-step explanation:

-14 7/8 divided by 1 3/4 is -8 1/2. -8 1/2 divided by - 1/2 is 17.

Answer:

Its in lowest terms

Step-by-step explanation:

It cannot be divided further

1/9 can is already in its lowest terms, it cannot be simplified any more

Answer:

the answer to that is -18x^2