A school bought 105 boxes of chocolate cookies and 22 boxes of vanilla cookies
for a fundraiser. Each box contained 12 cookies.
The school then repacked the cookies into smaller packs of 8 to sell.
How many small packs were there? How many cookies were left over?

Answer:

11.5

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

x stands for an unknown value, so we will put the x next to the 6 to solve the equation.

6x = 69

--- ---- <------ fraction bar/divide

6 6

x = 11.5

Check:

6 (11.5) = 69

69 = 69

True statement.

The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.

Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.

If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.

Therefore, the parabola x = √(y - 9) opens upwards.

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The length of the classroom in feet if the scale model length is 3 inches is 27 feet.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

The scale for the model is 2 inches, which represents 18 feet,

The scale model length 1 inch = 18 \ 2 = 9 feet length

Thus, the length of the classroom having scale model length is 3 inches

 in feet = 9 × 3 = 27 feet

Therefore, the length of the classroom in feet if the scale model length is 3 inches is 27 feet.

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Answer:

\(x = \frac{3y - w}{12} \)

Step-by-step explanation:

\( \frac{12x}{12} = \frac{3y - w}{12} \)

\(x = \frac{3y - w}{12} \)

Answer:

12a

Step-by-step explanation:

a + 2a + 9a

to simplify the expression, take out a common factor of a from each term

= a (1 + 2 + 9)

= a × 12

= 12a

Hello..! :)

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \dashrightarrow \red{a+2a+9a }\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \dashrightarrow \blue{ \: 12a}\)

To solve this simple problem, just add the numbers that are:

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \dashrightarrow \green{9 + 2}\)

But we must take into account that "a" in mathematics is an unknown and that it is only usually found in equations.

So, we must take a common factor from each term.

¿Doubts? On the comments. Greetings :D

Answer:

x = 11/2 = 5.5

Step-by-step explanation:

2x-6 = 5

2x = 11

x = 11/2 = 5.5

Answer:

-5/2

Step-by-step explanation:

You have to take y2-y1 and divide it by x2-x1

First find length of smaller rectangle

\(\\ \sf\longmapsto L4=32\)

\(\\ \sf\longmapsto L=32/4=8in\)

Now the ration will be same

\(\\ \sf\longmapsto \dfrac{32}{8}=\dfrac{288}{x}\)

\(\\ \sf\longmapsto 4x=288\)

\(\\ \sf\longmapsto x=\dfrac{288}{4}\)

\(\\ \sf\longmapsto 72in\)

The longer side of larger rectangle measures 72in

Answer:

The answer is 4,5.

Step-by-step explanation:

Go over 4 times and go up 5, and there is your answer.

Answer:

24

Step-by-step explanation:

24/3=4

24/4=3

Answer:

the answer is 50%

BRAINLIST

The y intercept of this quadratic equation is (0, -22)

Any subset of a Cartesian product is a relation.

A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B. Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set). As an illustration, a subset of is referred to as a "binary connection from A to B," and more specifically, a "relation on A."

A graph, which is a collection of all ordered pairs (x, f (x)), is the only way to represent a function.

As you can see from these definitions, every function is a relation to X.

To find the y intercept, set x =0 and solve for y

f(0)=-0²+10×0-22

  = -22

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Answer:

ther is no answer above

Step-by-step explanation:

b/c the least possible inyeger is 12

thes are -3,-2,-1,0,1,2,3,4,5,6,7,8

Answer:

The probability is probably about 55%

Step-by-step explanation:

Answer:

=3tn+4t

hope it helps...

Answer: 3nt + 4t.

Step-by-step explanation: Expand means distribute; there should be no parentheses or terms factored out.

t(3n + 4)

3nt + 4t <— multiply both terms in the parentheses by t.

Answer: what are you supposed to find out?

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

SInce 2 out of 5 of 100 support it, that means that 40 support. This means that 60 do NOT support it

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

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The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

160 inches

Step-by-step explanation:

47+33+47+33=160inches

Answer: a: -2, b: 0

Step-by-step explanation:

f(2) means that x=2, and we need to solve for y.

On the graph, it has a point of (2, -2) and since it's a function that is the only possible output. Therefore, f(2)=-2.

f(x)=-4 means that y=-4, and we need to solve for x.

On the graph, the point (0,-4) exists, and since the function contains only one output, it must be correct. Therefore, x=0.

Answer:

a) -2, c) 0.5, e) 14

Step-by-step explanation:

The domain is the x value, which is the number of packages sold in this case.

a) -2: You can't sell a negative number of packages

c) 0.5: You can't sell half a package

e) 14: The company only has 12 packages

In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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Answer:

  c.  f(x) = 2 cos(x − π) − 1

Step-by-step explanation:

The amplitude is the multiplier of the cosine function. The vertical shift is a constant added to the cosine function. The horizontal shift is a value subtracted from x in the argument of the cosine function.

For amplitude 2, vertical shift -1, and horizontal shift π, the function will look like ...

  f(x) = 2·cos(x -π) -1

Answer:

C.

Step-by-step explanation:

It's c because you need the sum of x and 10 but both multiplied by 2. So it wouldn't be A nor B because they are both subtracting. That would leave you with C and D and d doesn't have anything to do with multiplying. I dunno made sense to me.

The solution is:

\(\int\limits^a_b {\frac{x^{3} }{x^{2} + x -2 } } \, dx\) =\(ln|x| + \frac{2}{5} ln|x+2| + \frac{1}{3} ln|x-1| + C\)

The partial fraction expansion of a rational fraction is  described as an operation that consists of expressing the fraction as a sum of a polynomial and one or several fractions with a simpler denominator.

To solve the above partial fraction decomposition,

\(x^3 + x^2 - 2x = x(x^2 + x - 2) = x(x+2)(x-1)\)

we then write the fraction as a sum of partial fractions:

\(fx-2dx = \frac{A }{x } + \frac{B}{x + 2 } + \frac{C }{x - 1}\)

We  find the values of A, B, and C by  multiplying  both sides by the common denominator (x)(x+2)(x-1) and  substituting

fx-2dx = A(x+2)(x-1) + B(x)(x-1) + C(x)(x+2)

We set  x = 0

0 = -2A

A = 0.

We set  x = -2

-2 = 20B/(-2)(-4)

-2 = -5B

B = 2/5.

we set  x = 1

1 = 3C

C = 1/3.

fx-2dx = 0/x +  2/5/(x+2) +  1/3/(x-1)

We integrate each term separately and have the solution as :

\(\int\limits^a_b {\frac{x^{3} }{x^{2} + x -2 } } \, dx\) =\(ln|x| + \frac{2}{5} ln|x+2| + \frac{1}{3} ln|x-1| + C\).

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