What is the value of x?
Enter your answer in the box.

x= in.

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{1})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-1=3(x-3) \\\\\\ y-1=3x-9\implies y=3x-8[/tex]

To determine the number of artists who showed only sculptures or paintings at the art fair, we use the formula for the principle of inclusion-exclusion, resulting in 61 artists.

To find out how many artists showed only sculptures or paintings at the art fair, we apply the principle of inclusion-exclusion. First, we add the number of artists who showed sculptures (25) to those who showed paintings (48), which gives us a total of 73 artists. However, this counts the 12 artists who showed both sculptures and paintings twice, so we subtract 12 from this total to correct for the double counting. Therefore, the number of artists who showed only sculptures or paintings is 73 - 12, which equals 61 artists.

Answer:

Side AB

Step-by-step explanation:

Draw two congruent quadrilaterals.

Label the sides of one A,B,C,and D.

Label the sides of the other E,F,G,and H

Because the sides match up with the order in which they appear in if they are congruent, The first two letters(E and F) should be equivalent to the first two letters of the other shape(A and B).

[ Answer ]

2 / 3

[ Explanation ]

1 * 8 / 4 * 3

8 / 12

Simplify:

2 / 3

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Answer:

5 pounds

Step-by-step explanation:

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Answer:

She bought 5 pounds of coffee.

Step-by-step explanation:

Answer:

The answer is p · 9

Step-by-step explanation:

Product means multiplication

Answer:

The answer is p · 9

but, on gradpoint the answer is 9p

Step-by-step explanation:

Answer:

1 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

​a

​​ x

​b

​​ =x

​a+b

​​  

{a}^{2}+bb=289a

​2

​​ +bb=289

2 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

​a

​​ x

​b

​​ =x

​a+b

​​  

{a}^{2}+{b}^{2}=289a

​2

​​ +b

​2

​​ =289

3 Subtract {b}^{2}b

​2

​​  from both sides

{a}^{2}=289-{b}^{2}a

​2

​​ =289−b

​2

​​  

4 Take the square root of both sides

a=\pm \sqrt{289-{b}^{2}}a=±√

​289−b

​2

​​  

​

​​  

5 Rewrite 289-{b}^{2}289−b

​2

​​  in the form {a}^{2}-{b}^{2}a

​2

​​ −b

​2

​​ , where a=17a=17 and b=bb=b

a=\pm \sqrt{{17}^{2}-{b}^{2}}a=±√

​17

​2

​​ −b

​2

​​

6 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a

​2

​​ −b

​2

​​ =(a+b)(a−b)

a=\pm \sqrt{(17+b)(17-b)}a=±√

​(17+b)(17−b)

You would vertically shift the function up a unit, making it clear that the answer should be graph 3.

Use the image below, red is the original function, and blue is the new function.  

Answer:

91 is a composite number

Step-by-step explanation:

A prime number is the positive number, which has factors 1 and itself.

Example : 1,3,5,7

Clearly 91 is not a prime number, as its factors are:

91 = 1,7,13,91

It has more than 2 factors (1 and itself), hence 91 is a composite number.

Composite number is the number which has factors other than 1 and itself.

Answer:

91 is composite

Step-by-step explanation:

its factors are 1, 7, 13, 91

The answer is C) $250

Answer:

The answer is 250 dollars. to find this do 25 times 1000. the placement is 25 over 100 and x as in the amount were trying find over 1000.

Step-by-step explanation:

Answer:

The sum of the interior angles of a triangle is 180 degrees.

d. Scalene

e. Isosceles

f. Isosceles

g. Equilateral

h. Scalene

i. Equilateral

j. Right

l. Acute

m. Obtuse - doesn't add to 180 not a triangle

n. Acute - doesn't add to 180 not a triangle

o. Obtuse

Step-by-step explanation:

The interior angles of a triangle add to 180 degrees. There are two ways we classify triangle by side lengths and angle measures.

Side lengths: Compare the side lengths and see if any are equal to determine the type.

Angle Measures: Compare the angles measures to 90 degrees.

Answer:

remainder = 290

Step-by-step explanation:

[tex]\frac{3x^3-4x^2+2x+8}{x-5}[/tex]

= 3x² + 11x + 57 + [tex]\frac{290}{x-5}[/tex]

quotient = 3x² + 11x + 57 and remainder = 290

Answer: -9

Step-by-step explanation: -91/6 ≈ -9.167

21/3 ≈ 2.33333

-17/8 ≈ -1.875

-9.167 + 2.3333 + -1.875 = -8.71

Rounded, the answer is -9.

Answer:

D

Step-by-step explanation:

y>-3x+1                                 Negative slope

y<x+2                                   Positive slope

< or > have dotted line

< or > have a solid line

> or > means solutions are above the line

< or < means solutions are below the line

The one with negative slope has a dotted line and solutions above it.

The one with positive slope has a solid line and solutions below it.

Answer:

The number is -1.

Step-by-step explanation:

Let the number be represented by n.

Then "9 is added to twice a number and this sum is multiplied by 6" is represented by 2n + 9, and

" the number is multiplied by 7 and 14 is added to the product" is

7n + 14.

Then the complete equation is 2n + 9 = 7n + 14.

We must solve this for n.  To accomplish this, subtract 2n from both sides, obtaining 9 = 5n + 14.  Then subtract 14 from both sides, obtaining

-5 = 5n.  Then n must be -1.

Answer:

The number is -8

Step-by-step explanation:

Developing an equation

Read these phrases a little a time.

Solution

Answer:

x = $4400

Step-by-step explanation:

If we want their pay to be the same, the equations have to be equal

g(x)=240+0.06x = f(x)=130+0.085x

240 + .06x = 130+0.085x

Subtract .06x from each side.

240 + .06x - .06x = 130+0.085x-.06x

240 = 130 +.025x

Subtract 130 from each side

240-130 = 130-130 +.025x

110 = .025x

Divide each side by .025 to isolate x

110/.025 = .025x/.025

4400 =x

Answer:

(x, y) = (4, 5)

Step-by-step explanation:

given the 2 equations

x = 2y - 6 → (1)

y = - 3x + 17 → (2)

Either substitute x = 2y - 6 into (2) or y = - 3x + 17 into (1)

substituting y = - 3x + 17 into (1)

x = 2(- 3x + 17) - 6

x = - 6x + 34 - 6

x = - 6x + 28 ( add 6x to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

substitute x = 4 into (2)

y = - 12 + 17 = 5

solution is (4, 5 )

Answer:

Step-by-step explanation:

Given that a storage rack has dimensions as 25x12x5 ft.

Box has dimensions as 15x8x10 inches

Volume of each box = 15(8)(10) = 1200 inches = 1200x12^(-3) feet^3

Volume of 5000 boxes = 5000 (1200x12^(-3) ) = 3472.22 cubic feet

Volume of storage rack = 25(12)(5) = 1500 cubic feet

Volume of 25 storage racks 1500(25) = 37500 cubic feet.

SInce storage racks have sufficient volume it is concluded that enough storage is there.

Answer:

Yes, we have enough storage space.

Step-by-step explanation:

25 storage racks that are:

Length: Lsr = 25 ft = 25 ft (12 in / 1 ft) → Lsr = 300 in

Width: Wsr = 3 ft = 3 ft (12 in / 1 ft) → Wsr = 36 in

Height: Hsr = 12 ft = 12 ft (12 in / 1 ft) → Hsr = 144 in

5000 boxes 15x8x10 in

Length: Lb = 15 in

Width: Wb = 8 in

Height: Hb = 10 in

In the length of each storage rack we can put:

Nl=Lsr/Lb=300 in / 15 in → Nl = 20

In the width of each storage rack we can put:

Nw=Wsr/Wb=36 in / 8 in = 4.5 → Nw = 4

In the height of each storage rack we can put:

Nh=Hsr/Hb=144 in / 10 in = 14.4 → Nh = 14

Then we can put in each storage rack:

N = Nl Nw Nh = (20)(4)(14) → N=1,120 boxes

And we have 25 storage racks, then we can storage in total:

Nt=25N=25(1,120)→Nt=28,000 boxes

And we have 5,000 boxes, then we have enough storage space

Answer:

19 percent

Step-by-step explanation: First we need to convert them all the a similar format. Fractions would be easiest.

.22 = 22/100

1/5 = 20/100

19% = 19/ 100

The one that contains the least is 19/100 or 19%.

Answer:

X = apple

y = orange

4x + 4y = 10

6x + 6y = 12

Step-by-step explanation:

Answer:

4a+4r = 10

6a + 6r = 12

No solutions

Step-by-step explanation:

a = cost of the apple

r = cost of the orange

4a+4r = 10

6a + 6r = 12

Divide the first  equation by 2 and the second equation by 6

2a+2r = 5

a +r = 2

Multiply the second equation by -2 so we can eliminate a

-2a -2r = -4

Add the first equation

2a+2r = 5

-2a -2r = -4

---------------------

0 = 1

This system is inconsistent and has no solutions

Answer:

they each get $5.75 for lunch

Step-by-step explanation:

9.25 x 90 students = 832.50

832.50 -315 = 517.50

517.50 / 90 = 5.75

Final answer:

To simplify 50% of one-twentieth of the product of 12 and 5z plus 5, you first calculate the product (60z), take one-twentieth (3z), find 50% of that (1.5z), and then add 5 to get the simplified expression 1.5z + 5.

Explanation:

The question asks to simplify the expression 50% of one-twentieth of the product of 12 and 5z plus 5. Here are the steps to simplify this expression:

Firstly, calculate the product of 12 and 5z, which is 60z.

Then, find one-twentieth of this product, which is 60z / 20 = 3z.

50% of 3z is 1.5z.

Finally, add 5 to 1.5z, which gives you 1.5z + 5 as the simplified expression.

So, the simplified expression is 1.5z + 5.

50% of one-twentieth of the product of (12) and[tex]\(5z + 5\) is \( \frac{3z}{2} + \frac{3}{2} \).[/tex]

To calculate 50% of one-twentieth of the product of [tex]\(12\) and \(5z + 5\)[/tex], we'll follow these steps:

Step 1: Calculate the product of [tex]\(12\) and \(5z + 5\)[/tex].

[tex]\[ \text{Product} = 12 \times (5z + 5) \][/tex]

Step 2: Calculate one-twentieth of the product.

[tex]\[ \text{One-twentieth of the product} = \frac{\text{Product}}{20} \][/tex]

Step 3: Calculate 50% (or half) of one-twentieth of the product.

[tex]{50% of one-twentieth of the product}[/tex] = [tex]\frac{1}{2} \times \frac{\text{Product}}{20} \][/tex]

Now, let's perform the calculations step by step:

Step 1: Calculate the product of [tex]\(12\) and \(5z + 5\):[/tex]

[tex]\[ \text{Product} = 12 \times (5z + 5) \][/tex]

[tex]\[ = 12 \times 5z + 12 \times 5 \][/tex]

[tex]\[ = 60z + 60 \][/tex]

Step 2: Calculate one-twentieth of the product:

[tex]\[ \text{One-twentieth of the product} = \frac{60z + 60}{20} \][/tex]

[tex]\[ = \frac{60z}{20} + \frac{60}{20} \][/tex]

[tex]\[ = 3z + 3 \][/tex]

Step 3: Calculate 50% of one-twentieth of the product:

{50% of one-twentieth of the product} =[tex]\frac{1}{2} \times \left(3z + 3\right) \][/tex]

[tex]\[ = \frac{1}{2} \times 3z + \frac{1}{2} \times 3 \][/tex]

[tex]\[ = \frac{3z}{2} + \frac{3}{2} \][/tex]

So, 50% of one-twentieth of the product of (12) and[tex]\(5z + 5\) is \( \frac{3z}{2} + \frac{3}{2} \).[/tex]

A quadratic function can not have a maximum and minimum value. It can only take on one of those. The quadratic only makes one turn, so if the quadratic opens upwards, there is a minimum. If the quadratic opens downwards, there is a maximum.

A quadratic function can have either a maximum value or a minimum value, but not both.

A quadratic function can have either a maximum value or a minimum value, but not both. Whether it has a maximum or minimum value depends on the coefficient of the quadratic term (a) in the function. If a is positive, the graph of the quadratic function opens upwards and has a minimum value. If a is negative, the graph opens downwards and has a maximum value.

For example, the function y = x² has a minimum value of 0 at the vertex of the parabola, while the function y = -x^2 has a maximum value of 0 at the vertex.

Therefore, a quadratic function cannot have both a maximum value and a minimum value.

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The greatest number of sets of pens and pencils that can be made, using all of the given 28 pens and 80 pencils in each set, is 4. Each set would contain 7 pens and 20 pencils.

In the problem, we are looking to find the Greatest Common Divisor (GCD), which is the greatest number that can evenly divide both the number of pens (28) and the number of pencils (80). The GCD between 28 and 80 is 4.

Thus, the most sets of pens and pencils you can make would be equal to the GCD, which in this case is 4.

This means you can put together 4 sets with an equal number of pens and pencils in each set. In each of these sets, there would be 7 pens (28 pens ÷ 4 sets) and 20 pencils (80 pencils ÷ 4 sets).

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Final answer:

To maximize the number of sets with 28 pens and 80 pencils, find the greatest common divisor and divide the total by it. You can create 27 sets of 4 pens and 10 pencils each.

Explanation:

To find the greatest number of sets you can make with 28 pens and 80 pencils, you need to determine the highest common factor of the two quantities.

Calculate the greatest common divisor (GCD) of 28 and 80, which is 4.

Divide the total number of pens and pencils by the GCD: (28 + 80) ÷ 4 = 27.

You can make 27 sets, each consisting of 4 pens and 10 pencils.

Answer:

No. It used  1 gallon in 18.41 miles.

Step-by-step explanation:

He travelled 2834 - 2529 = 305 miles.

So his consumption is  305 / 75.2 = 4.056 miles/litre.

This equals 4.056*4.54 = 18.41 miles / gallon.

So this is less than the 1 gallon  every 20 miles stated by the handbook.

Answer: His limo used 1 gallon fuel for 18.4136 miles.

Step-by-step explanation:

Fayez covered distance:

2834 - 2529 = 305 miles.

He used fuel = 75.2 litres

75.2/4.54 = 16.5638 gallons petrol used.

His limo covered distance / total petrol used = 305 miles / 16.5638 gallons petrol = 18.4136 miles per gallon.

That is less than 20 miles per gallon

Answer: