a class of 228 students went on a field trip. they took 12 vehicles, some vans and some buses. find the number of vans and the number of buses they took if each van holds 8 students and each bus holds 30 students

Answer:

14 cupcakes

Step-by-step explanation:

75% is equivalent to 3/4 so 56 divided by 4 times by 3

56 divided by 4 is 14 X 3 = 42

56-42 leaves you with 14 cupcakes

Answer:

12 m2

Step-by-step explanation:

because 3 times 4 is 12  and i do odyseyware to so that's why i know the answer

We have to calculate the perimeter of this composite figure.

This perimeter will be composed by different segments:

0. One length of the rectangle (21 ft)

1. One width of the rectangle (14 ft)

2. Another lwngth of the rectangle (21 ft), and

3. A semicircle (yet to be calculated).

We can calculate the length of the semicircle as half the perimeter of a circle. The diameter in this case is the width of the rectangle (14 ft).

Then, we can write:

Then, we can now calculate the perimeter as the sum of the lengths of the segments we have listed:

Answer: 77.98 ft of fence are required.

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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Answer:

No solution

Step-by-step explanation:

5x + 2y = 9

–5x – 2y = 3

0 = 12

This is false. Therefore the equation had no solution.

Hope this helps!

9÷10 is your answer

yah its pretty simple

Answer:

9÷10

18÷20

Step-by-step explanation:

9÷10=0.9

18÷20=0.9

9/10=0.9

Answer:

they are

Step-by-step explanation:

divide 12*4=3

9*3=3

same ratio

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Answer:0

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

When you think you know what n is, check your answer. Add n to 7 and divide by 4. Do you get 5?

The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

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complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

Answer: x= -2/7, y = 10/7

Step-by-step explanation: 1) 2x +6y = 8 and 2) 3x + 2y = 2

Multiply equation 2) by -3 and you get -9x -6y = -6.

Add together and sum is -7x = 2 and x= -2/7 then insert to eat, 2) value of x:

3·(-2/7) +2y = 2 and 2y = 2+ 6/7 2y = 20/7 and y = 10/7

Answer:

First number: 21

Second number: 84

Third number: 30

21 times 4 = 84 which checks out.

30 - 21 = 9 which also checks out

21 + 84 + 30 = 135 so they are correct!

Step-by-step explanation:

Hope it helps! =D

Answer:

w = lap/ h - la

Step-by-step explanation:

1 Multiply both sides by a(w+p)a(w+p).

la(w+p)=wh

2 Expand.

law+lap=wh

3 Subtract law from both sides.

lap=wh-law

4 Factor out the common term w.

lap=w(h-la)

5 Divide both sides by h-la.

lap/h - la = w

6 Switch sides.

w = lap/ h - la

And the answer is : 4m+m=180.

Do hope you will find it helpful!

Step-by-step explanation:

Answer:

40,075 kilometers

Step-by-step explanation:

The distance around the Earth at the Equator, its circumference, is 40,075 kilometers

The true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.

The expression is given as:

(5 + y) * 8

An expression represented as:

a * b

Has two factors, and the factors are a and b

This means that the expression (5 + y) * 8 has two factors

An expression represented as:

a + b

Has two terms, and the terms are a + b

This means that the expression 5 + y has two factors

Hence, the true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.

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The solution after resolving into factors are,

⇒ 8 (a - 3b) (a - b)

We have to given that,

Resolve into factors the expression,

⇒ (3a - 5b)² - (a + b)²

Now, We can simplify for resolving the factors as,

⇒ (3a - 5b)² - (a + b)²

Since, WE know that,

⇒ x² - y² = (x - y) (x + y)

Hence,

⇒ (3a - 5b)² - (a + b)²

⇒ [(3a - 5b) - (a + b)] [ (3a - 5b) + (a + b)]

⇒ [3a - 5b - a - b] [4a - 4b]

⇒ (2a - 6b) (4a - 4b)

⇒ 2 (a - 3b) × 4 (a - b)

⇒ 8 (a - 3b) (a - b)

Thus, The solution after resolving into factors are,

⇒ 8 (a - 3b) (a - b)

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The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer:

Step-by-step explanation:

Compound interest, or 'interest on interest', is calculated with the compound interest formula. Multiply the principal amount by one plus the annual interest rate to the power of the number of compound periods to get a combined figure for principal and compound interest. Subtract the principal if you want just the compound interest.

1.7a+0.3a=0.8

2a=0.8

a=0.4

Answer: the answer is 64.

Step-by-step explanation: I just did the practice.

After 8 years the worth would become $1,095.91

If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\)

We are given that $550 invested at 9% interest compounded annually be worth after 8 years.

\(a = p(1 + \dfrac{r}{n})^{nt}\)

a = 550 (1 + 0.09)^8t

a = 550 (1.09)^8t

a =1,095.91

Hence, the worth would be; $1,095.91

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Answer:

  4x^2 -25

Step-by-step explanation:

The other factor of the difference of squares is the "conjugate" of the given one: (2x -5). Then their product is ...

  (2x +5)(2x -5) = (2x)^2 -(5)^2 = 4x^2 -25

Answer:

The Answer On Edge Is D.), Have Fun Dreamers!

Step-by-step explanation:

The equation is (6 - x)² + 2 = -10.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Given a phrase

“the square of the difference of six and a number, increased by two, is the same as negative 10”

the first part of phrase is,“the square of the difference of six and a number"

let the number be x

(6 - x)²

increased by 2

(6 - x)² + 2

is the same as negative 10

(6 - x)² + 2 = -10

Hence the equation is (6 - x)² + 2 = -10.

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Answer:

2%

Step-by-step explanation:

You can write it out as equation first.

430*x%=8.60, leave x% alone, so the equation will change into

x%=8.60/430

8.60/430=0.02=2%

therefore, x%=2%

Step-by-step explanation:

hope this helps, you can ask any questions for clarification

Answer:

Given equation:

9(3x – 16) + 15 = 6x – 24

Expand the brackets:

⇒ 9(3x) + 9(-16) + 15 = 6x – 24

⇒ 27x - 144 + 15 = 6x – 24

Combine like terms:

⇒ 27x - 129 = 6x – 24

Subtract 6x from both sides:

⇒ 27x - 129 - 6x = 6x – 24 - 6x

⇒ 21x - 129 = -24

Add 129 to both sides:

⇒ 21x - 129 + 129 = -24 + 129

⇒ 21x = 105

Divide both sides by 21:

⇒ 21x ÷ 21 = 105 ÷ 21

⇒ x = 5

x = 5

Answer:

x = 5

Step-by-step explanation:

Hello!

Step 1: Expand the left side by distributing

9(3x - 16) + 15 = 6x - 24

27x - 144 + 15 = 6x - 24

Step 2: Simplify the left side

27x - 144 + 15 = 6x - 24

27x - 129 = 6x - 24

Step 3: Subtract 6x from the both sides (collect like terms)

27x - 129 = 6x - 24

21x - 129 = -24

Step 4: Add 129 to both sides to isolate 21x (collect like terms)

21x - 129 = -24

21x = 105

Step 5: Divide both sides by 21 to isolate x

21x = 105

x = 5

What value of x makes this equation true? 5.