You buy a total of 25 sweatshirts and hats for $172.50ypu pay $8.00 per sweatshirt and $2.50 per hat how many items do you buy

Answer:

[tex]y^2=-8x[/tex]

Step-by-step explanation:

The directrix intersects the x-axis at point (2,0). Points (-2,0) and (2,0) are symmetric about the origin, so the vertex of the parabola is placed at the origin (0,0).

The parameter p of the parabola is the distance from the focus to the directrix, thus p=4.

The branches of the parabola go in negative direction of x-axis, because the focus lies to the left from the vertex.

The equation of the parabola is

[tex](y-0)^2=-2\cdot 4\cdot (x-0),\\ \\y^2=-8x.[/tex]

Answer:

x=7     x=-5

Step-by-step explanation:

x^2 – 2x – 35 = 0

Factor

What 2 numbers multiply to -35 and add to -2

-7*5 = -35

-7+5 = -2

(x-7) (x+5) =0

Using the zero product property

x-7 =0       x+5=0

x-7+7=0+7      x+5-5=0-5

x=7     x=-5

Answer:

∠1

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠1 is an exterior angle and ∠' s 2 and 3 are the opposite interior angles.

Hence

∠2 + ∠3 = ∠1

The measure of angle 1 is equal to the sum of the measures of angles 2 and 3.

The sum of the measures of angles 2 and 3 is equal to the measure of exterior angle B, which is angle 1.

This relationship is described by the exterior angle theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

So, we have:

[tex]\[ \text{Angle 1} = \text{Angle 2} + \text{Angle 3} \][/tex]

Therefore, the measure of angle 1 is equal to the sum of the measures of angles 2 and 3.

The probable question may be:

In the given figure, the sum of the measures of angles 2 and 3 is equal to the measure of which angle?

Enlargement

Hope this helps :)

Answer:

I think its 14. If not, check other options. Bye!

Step-by-step explanation:

The estimated length of a paperback book is "8 inches".

The paperback also called a paperback or softback, is a sort of book with a thick paper or paperboard cover that is often held together along with glue rather than stitches or staples.

Hardcover or hardcover books, but at the other extreme, are bonded with cardboard covered in linen, plastic, or leather.

Since 4 inches is far too short, and "14 and 18 " inches is longer than a ruler.

Therefore, the answer is "8 inches".

Find out more information about the book here:

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Answer: The answer is 90.

Step-by-step explanation:

Answer:

30 ft^2

Step-by-step explanation:

Area of square = 12 x 12 = 144

Area of circle = 3.14 x 6^3 = 3.14 x 36 = 113.04

So area of the remaining board = 144 - 113.04 = 30.96

Answer: 30 ft^2

Answer:

commutative because you can add or subtract in any order

Answer: Step 3: [tex]3x>3[/tex] (Subtraction).

Step-by-step explanation:

1- Given the inequality shown in the problem, Zareen should solve it as following:

2-Subtract 4x from both sides:

[tex]7x + 5-4x > 4x + 2 -4x\\3x+5>2[/tex]

(Zareen did this step correctly)

3- Subtract 5 from both sides:

[tex]3x + 5-5 > 2-5\\3x>-3[/tex]

(As you can see, Zareen made a mistake in Step 3, because the subtraction is actually  [tex]2-5=-3[/tex])

4- Divide both sides by 3, then:

[tex]\frac{3x}{3}>\frac{-3}{3}\\\\x>-1[/tex]

Zareen's mistake occurred in Step 2, where she incorrectly subtracted terms that did not simplify the inequality properly. She should have subtracted 4x from both sides and then divided by 3 to isolate x and solve correctly, which would have given x > -1.

Zareen made her mistake in Step 2 of solving the inequality

7x + 5 > 4x + 2.

In this step, she should have subtracted 4x from both sides of the inequality to isolate the variable term (x) on one side. This would have resulted in

3x + 5 > 2,

which she correctly simplified to

3x > -3

after subtracting 5 from both sides. Following the order of operations to the end, she would then divide both sides by 3 to find x > -1. However, the provided solution incorrectly states that the second step of just subtracting 3x resulted in the term 5 > 2, which is not relevant to the inequality manipulation and does not follow the correct algebraic steps to solve the inequality. The correct sequence would respect the operations to eliminate terms and simplify the algebra.

There are 20 male students.

Hope this helps.

I believe the answer is A)

Answer:

A

Step-by-step explanation:

81.2 * 0.45 = 36.54

14 = 2y/5 | *5

70 = 2y | :2

35 = y

Test :

14 = 2*35/5 TRUE

Answer:

y=35

Step-by-step explanation:

[tex]\frac{2y}{5}=14\\2y=14*5\\2y=70\\y=\frac{70}{2}\\y=35\\\\Checking\\\frac{2(35)}{5} \\\frac{70}{5} \\=14[/tex]

Answer:

D.

Step-by-step explanation:

A is linear, you can figure out that y=x+5

B is linear, y=22(x+1)

C is linear, y=8x+5

D is exponential, y=3ˣ⁺¹

Deriving these formulas is a matter of trial and error if you know you can choose between linear and exponential.

If your taking about question three, the answer would be B.) because an exponent added to a number is basically the number multiplied by itself by them number amount in the exponent(example: 5 to the power of 2 would be 5x5).

Answer:

Step-by-step explanation:

It's geometric.

You are starting with -2 and multiplying each successive term by - 2

r = - 2

a1 = -2

tn = ar^(n - 1)

So to try it out, let n be the 4th term

t4 = -2 * (-2)^(4 - 1)

t4 = - 2 * (-2)^3

t4 = - 2 * -8

t4 = 16 just as the series indicated.

Answer:

x = 2

Step-by-step explanation:

The volume of this prism is half the volume of it as a rectangular prism. The volume is listed as 30. The rectangular prism would be 60. Volume is found by multipyling base, height and width.

The base is 10 and the width is 3.

Divide 60 by 10 and by 3.

60/10 = 6

6/3 = 2

This means the height x is 2.

Answer:

7r < 4

Step-by-step explanation:

First step: add +21 to both sides.

Second Step: Add +35r to both sides

Third Step: Simplify bringing it to 7r > 4

Mark brainliest if you can thanks!

Answer:

Yes; there is only one range value for each domain value

Step-by-step explanation:

A relation can be defined as a function f(x) if for each value of the domain of x, there exists a unique value of f(x).

For example

(2, 4)(3, 9)(-2, 4)(4, 16) Is a Function

(2, 4)(2,6)(3, 8)(3, -8) Is Not a Function

To analyze if the relationship shown is a function, you must observe that each value of the domain has a single value of the range assigned.

For the given points {(-5, 6), (-2, 3), (3, 2), (6, 4)} this requirement is satisfied. Therefore, the relationship is a function. The graph is shown in the attached image.

The correct option is: Yes; there is only one range value for each domain value

Answer:

Yes; there is only one range value for each domain value.

Step-by-step explanation:

Let, R = {(-5, 6), (-2, 3), (3, 2), (6, 4)} is a relation,

Since, a relation is called a function if there is only one output value for each input value,

Here, the image of -5 is 6,

Image of -2 is 3,

Image of 3 is 2,

Image of 6 is 4,

That is, there is only one output value for each distinct input value,

Thus, R is a function,

Now, the input value is called domain value and output value is called range value,

Hence, SECOND OPTION is correct.

Answer:

[tex]\begin{array}{c|c}x&y\\-2&13\\-1&9\\0&5\\1&1\\2&-3\end{array}[/tex]

Step-by-step explanation:

Put x = -2, x = -1, ... , x = 2 to the equation of the function y = -4x + 5 and calculate the values of y:

for x = -2

y = -4(-2) + 5 = 8 + 5 = 13

for x = -1

y = -4(-1) + 5 = 4 + 5 = 9

for x = 0

y = -4(0) + 5 = 0 + 5 = 5

for x = 1

y = -4(1) + 5 = -4 + 5 = 1

for x = 2

y = -4(2) + 5 = -8 + 5 = -3

Just put the values given for x in the equation to find y

-4(-2)+5=13

-4(-1)+5=9

-4(0)+5=5

-4(1)+5=1

-4(2)+5=-3

Answer:

21 inches

Step-by-step explanation:

May had just over 6 inches of rain, June had just about 9 inches of rain, and July had just under 6 inches of rain. Together, these months had 9 + 6 + 6 = 21 inches of rain.

[tex]36 \times r = 21 \times 12 \\ 36r = 252 \\ r = 252 \div36 \\ r = 7[/tex]

The question asks to solve a proportion 36/42 = 24/r. By cross-multiplication and solving the resulting equation for r, it is found that r = 28. Therefore, the correct value of r in this instance is 28.

To solve the mathematical problem 36/42 = 24/r for the value of r, you should cross-multiply and then solve for r. Cross-multiplication means you multiply 36 by r and 42 by 24, which results in the equation 36r = 42 * 24. When you divide both sides by 36, you get r = 42 * 24 / 36 as the final form of the equation. After calculating the products and divison, you will find that r = 28.

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Answer:

The answer will depend on the units used for 17299986438377. If the number is in dollars, then the answer is 17300000000000.

Step-by-step explanation:

Answer:

20,000,000,000,000

Step-by-step explanation:

take the number right before the number your rounding and if its 5^ add 1 to your number if not, you dont add anything. convert all numbers before your number to 0

if you multiply 10.4x5x8 it equals 416 millimeters

Step-by-step explanation:

Since the formula of a rectangular prism is when we multiply length times width times height, or 10.4 * 5* 8.

5*8 = 40, and 10.4*40 = 416. (0.4*40 = 16 and 10*40 is 400, so you add them up)

That means that you answer is 416 Millimeters

Answer:

x = 9

Step-by-step explanation:

Given that,

coordinate 1  = (-6,10)

coordinate 2 = (12,-2)

Find the slope of line which contain above coordinates

Formula to use

[tex]m=\frac{y2 - y1}{x2-x1}[/tex]

m = [tex]\frac{-2-10}{12+6}[/tex]

m  = -2/3

Find the equation of the line

Formula to use

y = mx + c

where m is the slope =  -2/3

           c is the y intercept

Using coordinate (-6,10)

Plug in the formula

10 = -2/3(-6) + c

10 = 4 + c

c = 10-4

c = 6

So, the equation will be

y = -2/3x + 6

Find the x-intercept

we know that the x-intercept is the value of x when the value of y is equal to zero

so substitute y with 0 in the equation

when y = 0

0 = -2/3x + 6

2/3x = 6

x = 6(3/2)

x = 9

Answer:

x = 9 is the x-intercept.

Step-by-step explanation:

We have given the coordinates (-6,10) and (12,-2).

We have to find the  x-intercept of the line containing these points.

First we find the slope m by using these points.

We know that m = (y₂-y₁)/(x₂-x₁)

m = -2/3

The general form of the equation of line is :

y = mx + c

Where c is the y intercept.

Using the first coordinate to find c .

10 = (-2/3)(-6) +c

c = 6

So, the required equation is :

y = (-2/3)x+6

We have to find the x-intercept.

For this we put y=0

(-2/3)x+6 = 0

2/3 x = 6

x  = 6(3/2)

x = 9 is the x-intercept.

Answer:

Step-by-step explanation:

The formulas for the areas of a rectangle and a parallelogram are actually the same; both involve length and width.  

It may be easier to understand this if you draw a rectangle of width w with a drawing of a parallelogram of width underneath.  The parallelogram's ends appear slanted; they are neither vertical nor horizontal.  However, so long as you measure the length of the rectangle horizontally, all measurements are equal to each other as well as equal to the length of the rectangle.

Hence the calculated areas will be one and the same.

Area formula of a rectangle to find the area formula of parallelogram, the length of the rectangle should be used as the height of the parallelogram.

Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, [tex]a[/tex] is the length rectangle and [tex]b[/tex] is the width of the rectangle.

Given information-

The area formula of parallelogram has to find using the area formula of rectangle.

Parallelogram is a closed shaped quadrilateral polygon in which opposite sides is equal and parallel and opposite angles are equal.

The shape of the parallelogram is attached below.

The area of the rectangle is the base time height. It can be given as,

[tex]A_r=l\times h[/tex]

In case of a parallelogram the height of the parallelogram is not equal to the side of it.

The area of the parallelogram is still given as the area of rectangle which is base time height, with new height.

Thus for the attached figure of parallelogram the area of it can be given as,

[tex]A_p=l\times h[/tex]

Hence, The area formula of a rectangle to find the area formula of a parallelogram, the length of the rectangle should be used as the height of the parallelogram.

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2/x-9

is the answer to this problem

Answer:

2/x−9

Step-by-step explanation:

Write it out just the way you read it, then follow the order of operations.

The “Order of Operations” (P-E-MD-AS … or … B-O-DM-AS) tells us that quotient (division) comes before less (subtraction) so:

How do you represent “the quotient of two and (a number) X” ?

The quotient of 2 divided by X is (2÷X) or (2/X) or 2

What is nine less than that quotient?

subtract 9 from your choice of the previous representations, for example:

2/x−9

Answer:

3 1/6

Step-by-step explanation:

To find the highest value, we have to evaluate each term individually,

1)  1 1/6 = 7/6 = 1.167

2) 3 1/6 = 19/6 = 3.16

3) 3/8 = 0.375

4) 5/8 = 0.625

Therefore, second data value (3 1/6) is highest.

Answer:

(a - 7)(3 - x)

Step-by-step explanation:

Given

3(a - 7) - x(a - 7) ← factor out (a - 7) from both terms

= (a - 7)(3 - x)

Answer:

122

Step-by-step explanation:

34 + 84 = 122

Present age of Selma = s

Present age of Joyce = j

Selma is now 3 times as old as joyce

s=3j........(1)

Four years ago,

s-4=j-4

then

Selma was 4 times as old as joyce

s-4=4(j-4)

s-4=4j-16

s=4j-16+4

s=4j-12.............(2)

Put the value of s in (2) from (1)

3j=4j-12

3j-4j=-12

-j=-12

Multiply by -1 both sides

j=12

Put the value of j in (1)

s=3j

s=3(12)

s=36

Present age of Selma = s = 36 years old

Present age of Joyce = j = 12 years old

The whole steps are;

collect the like terms

4x - x = 9 + 6

Add or subtract the like terms

3x = 15

Divide both sides by the coefficient of 3

x = 15/3

From the information given, we have that the expression is;

4x -6=x +9

collect the like terms, we get;

4x - x = 9 + 6

Add or subtract the like terms, we get;

3x = 15

Divide both sides by the coefficient of 3. we get;

x = 15/3

Divide the values

x = 5

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Answer:

Step-by-step explanation:

General Solution

Left hand side

tan(30) + 1 / tan(30

tan^2(30) + 1

============

tan 30

but tan^2(30) + 1 = sec^2(30)

sec^2(theta) / tan(30) Let theta = 30o. This will work for any angle between 0 and 90

[tex]\dfrac{sec^2(theta)}{tan(theta)} = \dfrac{sec^2(theta)}{\dfrac{sin(theta)}{cos(theta)}} = \dfrac{1}{\dfrac{cos^2(theta)*sin(theta)}{cos(theta)}}[/tex]

Cancel out cos(theta) and one of cos^2(theta)

leaving your with

[tex]\dfrac{1}{sin(theta)*cos(theta)}[/tex]

which is exactly what the right hand side is.

This is the way this problem should be done. If you want to show what happens with 30o then

Thirty degree angle

tan(30) = 0.5774

Left hand side

0.5774 + 1/(0.5774) = 2.3093

Right hand side

1/(sin(30)*cos(30))

1/(0.5 * 0.8660)

1/(0.4330

2.3094

Which is about as close as you will get when you round.