The population of a school increased by 16%, and now the population is 667. What was the
population before the increase?

Answer:

b = 8

Step-by-step explanation:

Using Pythagorean Theorem, a[tex]a^{2} +b^{2} =c^{2}[/tex], we just plug in what we know.

We know that the hypotenuse, c, is 10 km. We also know that one of the other side lengths is 6 km, we can plug that into either a or b.

Now, our equation will be: [tex]6^{2} +b^{2} =10^{2}[/tex].

You could also use the equation: [tex]b^{2} =10^{2} -6^{2}[/tex].

Next, we'll just solve the equation.

[tex]10^{2} =100[/tex], [tex]6^{2} = 36[/tex]

[tex]b^{2} =100 - 36[/tex]

[tex]b^{2} = 64[/tex]

[tex]\sqrt{b^{2} } = \sqrt{64}[/tex]

b = 8

Good luck :D

Answer:

8

Step-by-step explanation:

because 2 time x=4 then multiply them and you get 8

Answer:

[tex]x=8^\circ[/tex]

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is [tex]\angle CAD[/tex]) exactly in half. Therefore, [tex]\angle CAB = \angle BAD[/tex] and as such we can solve for [tex]x[/tex]:

[tex]\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ[/tex]

and we are done.

Answer:

2.5x + 20 = y

Step-by-step explanation:

first, assign a variable to each unknown:

since we don't know how many videos were rented, that can be x, and we don't know the person's total cost, which can be y

x = number of videos rented

y = total cost

so there's always a $20 that's added on as a membership fee, which means that theres going to be a + 20 somewhere.

So, the equation is 2.5x + 20 = y

Each student gets 1 whole pack of paper and 4/5 of a pack.

What is a division in mathematics?

Division is a mathematical operation that is used to determine the number of times one number, called the dividend, is contained within another number, called the divisor. The result of a division operation is called the quotient.

When a group of students share a certain number of items equally, it means that each student will receive the same number of items. To find out how many items each student will receive, we need to divide the total number of items by the number of students.

In this case, Mr. Novak gives 9 packs of paper to a group of 5 students. To find out how many packs of paper each student gets, we need to divide 9 by 5. We can use long division or use a calculator to find that 9 divided by 5 is 1 with a remainder of 4. So, each student will get 1 whole pack of paper, and the remaining 4 packs will be shared among the students. This can be written as a mixed number, which is a combination of a whole number and a fraction. In this case, the mixed number would be 1 4/5.

Hence, each student gets 1 whole pack of paper and 4/5 of a pack.

To learn more about the division in mathematics, visit:

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Answer:

2. If we plug in X = 0 into our problem ( Y = A(B)^X ) I would get Y = A which drastically changes the initial value, the Y-intercept, and the point on the graph. The point changes to (0,a) which becomes the new Y-intercept.

3. Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

Step-by-step explanation:

The answer to part [2] and [3] are given above.

        y = A(B)ˣ

Given is the standard form of an exponential function -

y = a (b)^x

[2] - Changing the number outside the parenthesis will determine the amplitude scaling of the graph of (A)ˣ. For -

a > 1   (Magnitude will increase)

a < 1   (Magnitude will decrease)

a = 0  (Magnitude will become zero)

[3] - For Alison, we can write the expression as -

y{A} = 5000(1000)ˣ

For Cindy and Javier, we can write -

y{C} = (2)ˣ

y{J} = (3)ˣ

where -

[x] represents the number of posts.

Therefore, the answer to part [2] and [3] are given above.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

236

Step-by-step explanation:

100+100+36=236

Answer:

C. 180

Step-by-step explanation:

Answer:

n=-3

Step-by-step explanation:

Alrighty, now if I understood the problem correctly, we can simplify it to:

-5=n-2

We do +2 on both sides, and -5+2 is -3

So, n=-3

Answer:

n= -3

you move the variable to the other side it has to be by it self on the other side of the equal sigh

Step-by-step explanation:

-5 =n-2

-5+2=n

-3=n

n=-3

Answer:

I'm 99% sure it's infinite solutions

Answer:

You may want to email your teacher. I am pretty sure it is d, or f(x)=4-x.

Step-by-step explanation:

4-1=3

4-2=2

4-3=1

4-4=0

2p + 4= -50

=> 2p = -50-4

=> 2p = -54

=> p = -54/2

=> p = -27

Answer:

Multiply 6 by −3.

−18

Step-by-step explanation:

Hope it is helpful.....

Answer:

-18

Step-by-step explanation:

make sure you know your tables of 6 it might help you.

The answer is y=4x+3, it's already in slope intercept form.

Answer:

Jada is moving faster

Jade goes 10 miles in one hour

Han goes 2.5 miles in one hour

Step-by-step explanation:

Jada is 2miles/12 minutes=2(5) miles in 12(5) minutes

Jade goes 10 miles in 60 minutes (or one hour)

Han is 1 mile/24 minutes=1(2.5) miles in 24(2.5) minutes

Han goes 2.5 miles in 60 minutes (or one hour)

Jada is moving faster

Answer:

8164.66g

Step-by-step explanation:

18 pounds -> 8164.66g

Answer: Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

m(slope)=7/10 or (7,10)

Answer:

I do not know

Step-by-step explanation:

I dont know

Answer:

8x+12

Step-by-step explanation:

Answer:

[tex]4(2x + 3)[/tex]

Step-by-step explanation:

1. Factor out common terms in the first two terms, then in the last two terms.

[tex]2x + 3 + 2x + 3 + 2x + 3 + 2x + 3[/tex]

2. Collect like terms.

[tex](2x + 2x + 2x + 2x)(3 + 3 + 3 + 3 )[/tex]

3. Simplify.

[tex]8x + 12[/tex]

4. Factor out the common term.

[tex]4(2x + 3[/tex]

Therefor, the answer is 4(2x + 3)

Answer: y=1/4x-4

Step-by-step explanation:

y=mx+b

Answer:

1. Complementary

2 Supplementary

Hope this helped!

Answer:

Angles that add up to 90: Complementary

Angles that add up to 180 degrees: Supplementary

Step-by-step explanation:

Answer:

I think it is 888.89

Step-by-step explanation:

Hope this helps. :D

Answer:

C

Step-by-step explanation:

8 is the correct answer.

Answer:

8

Step-by-step explanation:

Answer:

d.

The actual price is 12.5% higher than the expected price

Step-by-step explanation:

The percent relation of the actual price and the expected price is 12.5%

The consumer price index measures the changes in price of a basket of good. It is used to measure inflation.

Price of the cast iron today = $28.35 x (166/100) = $47.06

The percent relation of the actual price and the expected price = ($52.95/$47.06) - 1 = 12.5%

To learn more about, consumer price index, please check: https://brainly.com/question/26382640

Answer: 120, 240, 480

Step-by-step explanation:

It would appear that the numbers are increasing in multiples of 2.

15 * 2 = 30

30 * 2 = 60

The next 3 terms will therefore be:

60 * 2 = 120

120 * 2 = 240

240 * 2 = 480

Answer:

480

Step-by-step explanation:

Answer:

I hope this helps

Step-by-step explanation:

So the way to handle a problem like this is to rewrite the three numbers in terms of their relationship to one of the three numbers.  Let's call the numbers x, y, and z, where x is the first number, y is the second, and z is the third.

We know x + y + z = 83.

Since the third number is twice the second, we say that z = 2y.

Since the second number is seven less than the first, we say that y = x - 7.  We can rewrite this as x = y + 7.

Now all three can be written in terms of y.

x + y + z = 83

(y + 7) + y + 2y = 83

4y + 7 = 83

4y = 76

y = 19

The second number is 19.  The first is 19 + 7 or 26, and the third is 2 times 19 or 38.

A check reveals that 26 + 19 + 38 = 83.

Answer:

6 minutes

Step-by-step explanation:

48/8=6

Answer:

25%

Step-by-step explanation:

i dont have a Step by step explanation