If the box holds 24 of these sugar cubes, what is
the total volume of the box?

By translation, the image of the triangle X is equivalent to the triangle E.

Herein we find the representation of a triangle, whose vertices are described below:

A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)

Whose image must be determined by a rigid transformation known as translation:

P'(x, y) = P(x, y) + T(x, y)

Where:

Now we proceed to determine the images of the vertices of the triangle:

A'(x, y) = (5, 5) + (4, - 3)

A'(x, y) = (9, 2)

B'(x, y) = (5, 6) + (4, - 3)

B'(x, y) = (9, 3)

C'(x, y) = (7, 5) + (4, - 3)

C'(x, y) = (11, 2)

Therefore, the triangle E is the image of the triangle X.

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If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.

Then the retail price is given as,

⇒ $80 x (1 + 0.445)

⇒ $80 x 1.445

⇒ $115.60

If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

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Answer:

42

Step-by-step explanation:

6x - 1 = 29

6x = 30

x = 5

what is the valué of x^2+ x?

6^2 + 6

= 36 + 6

= 42

Answer:

a = 18

b = 3

hope it helps

have a nice day

Answer:

3, -2.

Step-by-step explanation:

not sure if I am right tho

Answer: (3,-2)

Step-by-step explanation: we see that the point showing where the area is is in quadrant 4, based on knowing this we are told the y axis is negative and the x axis is positive, we see the meeting in 3 on the x axis and -2 on the y axis which tells us the answer

Given:

Jim Hilbert bought a vacation condominium as a real estate rental property for $350,800. After a $90,000 down payment, he mortgaged the rest. His annual expenses totaled $29,790 and he rented the condo for $3,200 per month.

Required:

a. What is the annual net income?

b. What is the annual yield?

c. What monthly rent would he have to charge to get a yield of 11%?

Explanation:

Rent of the property = $350,800

Downpayment

The volume of the cylinder is the amount of space on it

The volume of the oblique cylinder is 174.19 cubic units

The given parameters are:

AB = 16 units

Radius (r) = 2 units

\(\theta = 30^o\)

Start  by calculating the height (h) using:

\(h = 16 * \cos(30^o)\)

This gives

\(h = 13.86\)

The volume of the cylinder is then calculated as:

\(V = \pi r^2 h\)

This gives

\(V = 3.142 * 2^2 * 13.86\)

\(V = 174.19248\)

Approximate

\(V = 174.19\)

Hence, the volume of the oblique cylinder is 174.19 cubic units

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Answer: 2.05 repeating

Step-by-step explanation:

18/2= 2
1/2 feet goes into 9 18 times so 1/18 = .055 repeating

The rule demonstrating the logical equality of the two claims. -((w V p) ^(-91q1w)) DeMorgan's law has the form -(w V p) v-(-91qAw).

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Answer:

$44.89

Step-by-step explanation:

Add 25.15 + 19.74 = 44.89

Answer:

$44.89

Step-by-step explanation:

since the question says combined we know to add the two numbers

25.15+19.74=44.89

so the correct answer would be $44.89

Answer:

The bench costs $350

Step-by-step explanation:

et the cost of the bench = x

the cost of the garden table = x + 94

x + (x + 94) = 794

2x + 94 = 794

2x = 700

x = 350

The bench costs $350 and the garden table costs 350 + 94 = $444

Answer:

x = 11.2

Step-by-step explanation:

Since, ΔPQR ~ ΔVST,

By the property of similar triangles, corresponding sides of these triangle will be proportional.

\(\frac{PQ}{VS}=\frac{QR}{ST}\) ---------(1)

Since, scale factor = \(\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}\)

\(\frac{2}{5}\) = \(\frac{PQ}{VS}\)

Therefore, from equation (1)

\(\frac{2}{5}=\frac{x}{28}\)

x = \(\frac{28\times 2}{5}\)

x = 11.2

p = 27

r = 0

p(1+r3) = 27

27(1+0(3)) = 27

27(1+0) = 27

27(1) = 27

27 = 27

sets of rational numbers = Q

sets of rational numbers is represented by \( \mathbb{Q}\)

Sets of intigers is represented by Z

Sets of whole numbers is represented by W

The least number by which each of the given numbers should be multiplied so as to get a perfect square are 5 and 7.

Here, we have,

we have

a) 845 =5×13×13

The smallest whole number is 5, by which 845 should be multiplied so as to get a perfect square.

Now , we get,

845 ×5=5×13×13×5

4225=5×13×13×5

√4225=65

b) 1008=2×2××2×3×3×3

The smallest whole number is 7, by which 1008 should be multiplied so as to get a perfect square.

Now , we get,

1008×7=2×2×2×2×3×3×7×7

7056=2×2×3×7

=84

Answer : 5 and 7

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The approximate dimensions of the rectangular prism are 3 feet x 4 feet x 15.194 feet.

The  prism is made up of identical cubes, we can calculate the dimensions by dividing the number of cubes by the number of cubes in one layer.

2 4-1/12 feet = 2 3/4 feet + 1/12 feet = 11/4 feet + 1/12 feet = 33/12 feet + 1/12 feet =  34/12 feet

So each cube has a volume of (34/12) x (34/12) x (34/12) = 39304/1728 = 22.75 cubic feet.

If the rectangular prism is filled with 216 identical cubes, the total volume of the cubes is 216 x 22.75 = 4923 cubic feet.

The volume of the prism is 27 cubic feet, then write an equation to find the dimensions of the prism:

length x width x height = 27

We can factor 4923 into its prime factors to see if any of them can be used to find the dimensions of the prism:

4923 = 3 x 3 x 547

Since 27 is a factor of 4923, we can divide 4923 by 27 to get:

4923 / 27 = 182.333...

length x width x height ≈ 182.333...

then solve for the other two dimensions:

3 x width x height ≈ 182.333...

width x height ≈ 60.777...

Let's choose the width to be 4 because 4 is a factor of 60.777.

3 x 4 x height ≈ 182.333...

height ≈ 15.194...

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Answer:

x = -7

Step-by-step explanation:

6+2x=-8

2x=-14

x = -7

Answer:

x= -7

Step-by-step explanation:

6+ 3x = x-8

   -x.     -x

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

6+2x = -8

-6.        -6

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

2x = -14

---      ---

2.       2

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

x= -7

Answer:x= 13 over 12 if you know what i mean i mean in fractions

Step-by-step explanation:

Answer:

x=1 y=2

Step-by-step explanation:

Isolate x for 4x -y=2: X=2+y/4

Substitute x= 2+y/4

(2+y/4 )+3y=7

simplify 2+13y/4=7

Isolate y for 2+13y/4=7

y=2

Forx= 2+y/4

Substitute y = 2

x= 2+2/4

Simplify

X=1

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Given the following inequality,

\(\frac{m - 2}{3} < -2 \\\)

or

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

\(\frac{m - 2}{3} < -2 \\\)

\(\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6\)

\(m - 2 + 2 < -6 + 2\\\\m < -4\)

Or

4m + 3 > 15

4m + 3 - 3 > 15 - 3

4m > 12

\(\frac{4m}{4} > \frac{12}{4} \\\\\)

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

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Answer:

1861.39 cm²

Step-by-step explanation:

Given:

d = 15 cm

radius (r) = ½(15) = 7.5 cm

Height = 32 cm

Surface area of a cylinder = 2πrh + 2πr²

Plug in the values

Surface area = 2*π*7.5*32 + 2*π*7.5²

= 1861.39 cm²

Answer:

1/12

Step-by-step explanation:

There are 12 different possibilities when we pair them together. This can be viewed when we draw up a table. See image attached. :P

Answer:

1/12

Step-by-step explanation:

if the first jar has 3 and the second has 4 marbles, then just multiply and you have 12. so its 1/12

Answer:

c.    x = -2  or x = -3

Step-by-step explanation:

The vertical asymptotes occur where the denominator = 0.  That happens when the f(x) is undefined.  So,

x^2 + 5x + 6 = 0

(x + 2)(x + 3) = 0

x = -2  or x = -3

Answer:

1/5

Step-by-step explanation:

Divide 45 by 9. = 5. = 1/5

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

Step-by-step explanation:

\(\sqrt{x-2}+8=x\\\\\sqrt{x-2}=x-8\\\)

Square both sides,

\(x-2=(x-8)^{2}\\\\x-2=x^{2}-2*x*8+8^{2}\\\\x-2=x^{2}-16x+64\\\\x^{2}-16x+64=x-2\\\\x^{2}-16x+64-x+2=0\\\\x^{2}-17x+66=0\)

Sum = - 17

Product = 66

Factors = -6 , -11

x² - 6x -11x + (-6)*(-11) = 0

x(x - 6) -11(x - 6) = 0

(x-6) (x - 11) = 0

x -6 = 0   ; x - 11 = 0

x = 6   ; x =11

Here,  x = 6 is a extraneous solution