A sweatshirt was on sale for 32% off and cost $40.80 without tax. What was the original price of the sweatshirt?

Answer:

To solve this problem, we can use a Venn diagram. We will start by drawing three overlapping circles representing volleyball, football, and tennis teams. The number of students in each team will be written inside the corresponding circle. We also know that 12 play volleyball and football, 5 play football and tennis, and 6 play tennis. Finally, we know that 4 students play all three sports.

Let's start by placing the number 4 in the intersection of all three circles, since they play all three sports.

Next, we can fill in the rest of the diagram using the information we have. We know that a total of 21 students play volleyball, so we can write 4 + 8 = 12 in the intersection of the volleyball and football circles, and 4 + 11 = 15 in the intersection of the volleyball and tennis circles. We also know that 26 students play football, so we can write 4 + 8 = 12 in the intersection of the football and volleyball circles, and 4 + 5 = 9 in the intersection of the football and tennis circles. Finally, we know that 15 students play tennis, so we can write 4 + 11 = 15 in the intersection of the tennis and volleyball circles, and 4 + 5 = 9 in the intersection of the tennis and football circles.

To find the total number of selected students, we can add up all the numbers in the diagram:

Total number of selected students = 4 + 8 + 12 + 5 + 3 + 11 + 15 = 58

Therefore, the total number of selected students in UMK is 58.

Step-by-step explanation:

Answer:

Step-by-step explanation:

ce

Answer:

7/8,3/4,2/3,1/2,1/5,-2/5,-3/4,-7/3

Step-by-step explanation: eh no idea just knew that negative numbers are less than positive

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

Answer:

Fred is 28 yrs old. Nathalie is 12yrs old

Step-by-step explanation:

Let Nathalie's age be x

Let Fred's age be a

x+a=40 yrs•••••1

4x+a=76yrs•••••2

a=40-x

Substitute a for 40-x in equation (2)

4x+40-x=76

3x=76-40

3x=36

x=12

a=40-12

a=28

The equation given is a one variable equation, "p".

The question asks to find the value of "p", which is the pounds of peanuts.

So, we need to solve the euqation for "p".

First, we need to put all the terms that have "p" in one side. For this, we will have to use the distributive property in the parenthesys first:

Now, we can substract 4.05p in both sides to get the "p" term of the left to the right:

Now, we do the same for the 13.50, substract it in both sides:

Now, we can divide both sides by 0.45:

So, the answer is p = 2, thus, you need 2 pounds of peanuts for the trail mix.

Answer:

0.24   plssssssssss give brainliest

Step-by-step explanation:

144/600 = 0.24

Making the value of 'a' smaller, but still positive, will make the graph be compressed vertically.

Let's say a = 1 is the initial value. If we update it to a = 0.5, then the graph will be half as tall as it used to be, so it's compressed by a factor of 1/0.5 = 2.

The value of b determines the period of the sinusoidal function.

Answer:

  B.  A point

Step-by-step explanation:

You want a description of the intersection between a plane and a cone given that the plane is parallel to the base and passes through the vertex of the cone.

The vertex of a cone is a single point. If a plane passes through that, but does not intersect the base of the cone, it will not intersect anywhere else.

The intersection is one point.

__

Additional comment

Figure f in the attachment illustrates this case.

Answer:

R = { ( 3 , 1 ) , (4 , 1) , (4 , 2) }

Step-by-step explanation:

Which ordered pairs are in the relation {(x, y) | x > y + 1} on the set {1, 2, 3, 4}

Assuming that:

R should be the set of real numbers such that:

R = { (x,y) | x > y + 1}  on the set {1, 2, 3, 4}

Then:

The ordered pairs for the relation can be computed as:

R = { ( 3 , 1 ) , (4 , 1) , (4 , 2) }

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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Answer:

t =  

Given:

The total ticket price  =t

Total number of people attended the concert =  350

Total revenue  = r

To Find:

The expression for finding the t value

Solution:

The ticket price  t  =  

Substituting the total number of people who attended the concert

t =

Step-by-step explanation:

Hope this helps:)

Answer:

  k = 110

Step-by-step explanation:

You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.

The area of a circle is given by the formula ...

  A = πr²

Then the area of the outer circle is ...

  A = π(14 cm)² = 196π cm²

The area of the inner circle is ...

  A = π(8 cm)² = 64π cm²

The area of the whole donut is the difference of these areas:

  whole donut area = (196 -64)π cm² = 132π cm²

The shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...

  shaded area = (300°/360°)×whole donut area

  shaded area = 5/6 × 132π cm² = 110π cm²

Comparing this to the expression kπ cm², we see that ...

  k = 110

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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Answer:

The general form of the quadratic function f is f(x) = ax2 + bx + c, ... To get the x-intercepts, we opt to set the given formula g(x)=6 − x − x2 = 0.

Step-by-step explanation:The general form of the quadratic function f is f(x) = ax2 + bx + c, ... To get the x-intercepts, we opt to set the given formula g(x)=6 − x − x2 = 0.

Answer:

12x + 6

Step-by-step explanation:

perimeter equals the sum of all sides

if each side is 4x+2 then 3(4x+2) = 12x+6

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

T

Step-by-step explanation:

T is the vertex because vertex is the point from which the arms of any angle form.

Answer:

The ratio is 25:4

Step-by-step explanation:

Since JKLM ~ EFGH, the ratio of the areas of JKLM to EFGH is equal to the square of the ratio of their corresponding sides.

JK corresponds to EF

JK/EF = 20/8 = 5/2

Therefore:

the ratio of the areas of JKLM to EFGH = 5² : 2²

The ratio = 25:4

The numeric value of the function f(x) at x = 1 is given as follows:

f(1) = 24.

The table is composed by a set of points in the following format:

(x, f(x)).

In which the input and output variables are given as follows:

From the points given in the table, the numeric values are listed as follows:

Any of these values can be used to evaluate the function at the input of x, hence at the input of x = 1, the numeric value is given as follows:

f(1) = 24.

The function is given by the image presented at the end of the answer.

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Answer:

1. 2\(\frac{1}{4}\) pounds of fat

2. 125 total pieces of cheese

The common ratio for the sequence is 1/2.

Sets of numbers that adhere to a pattern or norm are known as number sequences. A geometric sequence is one where the rule is to multiply or divide by the same number each time.

Formula : \(a_n\) = a\(r^{n-1\)

where a is the first term, r is the common ratio.

Given:

Sequence: 14, 7, 7/2, 7/4

To calculate the common ratio = \(a_1/ a_2\)

Now, the common ratio

= 7/14

= 1/2

Hence, the common ratio is 1/2.

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

Answer:

Step-by-step explanation:

3x-11  = x+9

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

Answer:

You're answer is D.18b

Hey there!

The product of a number and 18 means you multiply that number times 18; the result is called the product.

When we multiply a number times a variable, we always write the number before the variable.

For example, we multiply 4 times d, and the result is 4d.

Let's check the options and see if we can spot something like "5a"

The first option:  we multiply 18 times the difference of b and 18.

The second option: we add 18 and b

The third option: we divide 18 by b

The fourth option: we multiply 18 times b (That's the right option! We did it  :)

Hence, the answer is

\(\boxed{\boxed{\bold{18b}}}\)

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

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\(\rule{200}{2}\)

Answer:

B. 4|−25| = $100

Step-by-step explanation:

Hope this helps!

Answer:

15 us the answer I knowwww

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