What multiplication equation is represented by this picture? Explain. ​

Answer:

a) 24[tex]ft^2[/tex]

b) 52ft

Step-by-step explanation:

a)

This question asks to find the capacity of the container. This is essentially asking what the volume of the container is. This can be done by multiplying the length by the width by the height.

4 * 2 * 3

= 24

b)

This question is asking how much material was used to make the prism. This is essentially asking what the surface area of the prism is. This can be found by finding the area of all the sides of the prism and then adding it up. Since it is a rectangular prism, opposite faces are congruent, hence one only has to find the area of three faces, add it up, then multiply it by two to find the answer.

2 ( 4 * 2 ) + 2 ( 3 * 4 ) + 2 ( 2 * 3 )

= 2(8) + 2(12) + 2(6)

= 16 + 24 + 12

= 52

Answer:

Step-by-step explanation:

diameter = 10 in

radius = 5 in

area = π5² = 25π ≅ 78.5 in²

Answer:

The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

Step-by-step explanation:

Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:

X + X + 1.15 + X + 1.15 = 8.60

3X + 2.30 = 8.60

3X = 8.60 - 2.30

X = 6.30 / 3

X = 2.10

Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.

Answer:

6j(5k+3)

Step-by-step explanation:

18j+30jk

Factor out 6.

6(3j+5jk)

Consider 3j+5jk. Factor out j.

j(3+5k)

Rewrite the complete factored expression.

6j(5k+3)

Answer:

A, C, E

Step-by-step explanation:

hope this helps!

Answer:

I think it is A, C, E

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using first equation in the second gives you

x-3(-2x+1)=11

x+6x-3=11

7x-3=11

7x=14

x=2, making y=-2x+1 become

y=-2(2)+1

y=-4+1

y=-3 so the solution is the point

(2,-3)

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

Answer:

area of a square

= side × side

= 12 × 12

=144cm^2

Answer:

h = (A - 2πr²)/(2πr)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

A = 2πrh + 2πr²

Step 2: Solve for h

Answer:

[tex]c=2.25[/tex]

Step-by-step explanation:

[tex]4.5=2c\\2c=4.5\\c=4.5/2\\c=2.25[/tex]

Answer:

https://geometryhelp.net/triangle-inequality-theorem/

Step-by-step explanation:

This is from that site. Visit it and you may find what you're looking for.

If we want to go from point A to point B, getting there through any intermediate point C, which is not on the straight line between A and B, is going to be longer. This should seem intuitively correct. But we will prove it formally.

Where do triangles come into this? Imagine that the line AB is a side of a triangle, ΔABC. Going from A to B is the straight, short way. Going there by first going to another point, C (which is the side AC) and then from C to B (which is the side CB) is going to be longer.

Answer:

750 cubic feet

Step-by-step explanation:

the answer is,

541.42%

I think this is the answer.

Answer:

Net Mass = 520 g

Step-by-step explanation:

Given:

Waste = 240 g

Gross mass = 760 g

Find:

Net Mass

Computation:

Net Mass = Gross mass - Waste

Net Mass = 760 g - 240 g

Net Mass = 520 g

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.

cos θ = base / hypotenuse

Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.

Then the cosine of the angle ∠B will be given as,

cos θ = base / hypotenuse

cos B = 3 / 5

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The product:

[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]

[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]

[tex]A * B = 1 * \frac{1}{3}[/tex]

[tex]A * B = \frac{1}{3}[/tex]

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The quotient:

[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]

Express as product

[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]

[tex]A / B = \frac{1*3}{2*2}[/tex]

[tex]A / B = \frac{3}{4}[/tex]

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

[tex]x = \frac{1}{2}[/tex]

[tex]y = \frac{2}{3}[/tex]

The sum:

[tex]x + y = \frac{1}{2} + \frac{2}{3}[/tex]

Take LCM

[tex]x + y = \frac{3+4}{6}[/tex]

[tex]x + y = \frac{7}{6}[/tex]

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

Answer:

Surface area = 70π cm²

Step-by-step explanation:

Surface area = πr² + πrl

Surface area = (π × 5 × 5) + (π × 5 × 9)

Surface area = (25π) + (45π)

Surface area = 70π cm²

Answer:

Step-by-step explanation:

I think that you want to know how many total pounds of beans do you have.

Well, to find this, simply find the LCM of 6 and 4. That is 12.

So convert the fractions to have a denominator of 12.

10/12, 9/12

Now add:

(10+9)/12 = 19/12 = 1 7/12

Answer:

5935 base balls

Step-by-step explanation:

Volume of a cylinder : pi * r² * h

r = Radius, h = height = 6ft

Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft

V = π * 2^2 * 6

V = 75.398223 ft³

Diameter of baseball = 2.8 inches

2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³

Hence,

75.398223 ft³ / 0.0127037ft³

= 5935.1370

= 5935 base balls

Answer:

Your answer will be (2,4) :)

Answer:

Step-by-step explanation:

a₁ = -3 = (-1)¹×3

a₂ = 6 = (-1)²×2×3

a₃ = -28 = (-1)³×2²×7

a₄ = 72 = (-1)⁴×2³×3²

a₅ = -360 = (-1)⁵×2³×3²×5

a₆ = 2160 = (-1)⁶×2⁴×3³×5

That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.

Answer:

92/85

Step-by-step explanation:

Answer:

First and last

Step-by-step explanation:

(4x - 7) (x + 3)

FOIL

4x^2 + 5x - 21

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

-TheBusinessMan