Use the box method to distribute and simplify (2 + 1)(2x - 3). Drag and drop the
terms to the correct locations of the table.

Answer:

x = - 8, y = 2

Step-by-step explanation:

[tex]x = - 4y......(1) \\ x + 5y = 2....(2) \\ plug \: x = - 4y \: in \: equation \: (2) \\ - 4y + 5y = 2 \\ y = 2 \\ plug \: y = 2 \: in \: equation \: (1) \\ x = - 4(2) \\ x = - 8\\[/tex]

Answer:

first one is 432

Step-by-step explanation:took the test and got it right

The height and depth of locker is 40 inch and 5 inch.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

As per the known fact, volume of rectangle is calculated by multiplying the entities width, height and depth. Let us assume the depth be d.

So, the height is 4d. Keep the values in formula to find the value of depth.

10800 = 12 × d × 4d

4d² = 10800 ÷ 12

Performing Division

4d² = 900

d² = 900 ÷ 4

Performing Division

d² = 225

d = ✓225

Taking square root

d = 15

The depth of locker is 15 inch.

So, the height = 4d

Height = 4 × 15

Performing multiplication

Height = 60 inch

Therefore, the depth and height of locker is 15 inch and 40 inch.

Learn more about volume of prism -

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complete question:

A locker in the shape of a rectangular prism has a width of 12 inches. Its height is four

times its depth. The volume of the locker is 10,800 cubic inches. Find the height and depth of the locker.

Height:

Answer:

#4 is B

#5 is also B

Step-by-step explanation:

i big brain

Answer:

4. b) [tex]4x^2-20xy+25y^2[/tex]

5. b) [tex]x^2+14x+49[/tex]

Step-by-step explanation:

4. [tex](2x-5y)^2[/tex]

First, one must rewrite the exponential equation as a multiplication problem,

[tex](2x-5y)(2x-5y)[/tex]

Now distribute, multiply every term in one of the parenthesis by every term in the other parenthesis,

[tex]=(2x-5y)(2x-5y)\\\\=(2x)(2x)+(2x)(-5y)+(-5y)(2x)+(-5y)(-5y)[/tex]

Now simplify the given expression,

[tex]=(2x)(2x)+(2x)(-5y)+(-5y)(2x)+(-5y)(-5y)\\\\=4x^2-10xy-10xy+25y^2[/tex]

Combine like terms,

[tex]=4x^2-20xy+25y^2[/tex]

5.[tex](x+7)^2[/tex]

To solve this problem, one should follow the same series of steps as they did to solve the last expression. First, rewrite the exponential expression as a multiplication problem.

[tex](x+7)(x+7)[/tex]

Now distribute, multiply every term in one of the parenthesis by every term in the other parenthesis,

[tex]=(x)(x)+(7)(x)+(7)(x)+(7)(7)[/tex]

Simplify the expression,

[tex]=(x)(x)+(7)(x)+(7)(x)+(7)(7)\\\\=x^2 + 7x + 7x + 49[/tex]

Finally, combine like terms,

[tex]=x^2+14x+49[/tex]

Answer:

189cm^3

Step-by-step explanation:

First, we need to find the formula of "how to find the volume of any prism":

length * width *height

* = multiply

So that means we need to do:

7cm * 9cm * 3cm

= 189cm^3

^ = exponent

Hope this helped :)

Answer:

one cup of coffee costs $2, while one bottle of water costs $1

Step-by-step explanation:

We can represent this using two equations:

5x + 2y = 12

4x + 7y = 15

Your answer for the value of x and y should be

x = 2

y = 1

Therefore, one cup of coffee costs $2, while one bottle of water costs $1.

Answer:

a

Step-by-step explanation:

correct anwer is A

The measure of the angle should be 170° as this angle looks like an obtuse angle.

Hope that helps!

Answer:

1.96428571429

Step-by-step explanation:

Answer:

55/28

Step-by-step explanation:

5×2+7/14+3/4

17/14+3/4

68+42/56

110/56

55/28

Answer:

the answer is A. 6 1/3 feet

Step-by-step explanation:

There are 12 inches in a foot. 12 x6=72 r of 4

there are 12 inches in a foot 12÷4=3. 1/3 of a foot

6 + 1/3= 6 1/3

Answer: y > -4 (red)

Step-by-step explanation:

Answer:A

Step-by-step explanation:

the y-intercept is when x-axis is 0 and that means that hours of jogging is 0 and the y-axis is 1 minunte

Answer:

The first option.

Step-by-step explanation:

The y-intercept is where the line crosses through the y-axis, which, in this case, would be at point (0, 1). The labeling on the left side shows what each number on the y-axis represents, and it would be minutes stretching when not jogging.

hope this helped! :)

Answer:

calm down rosie....  it's okay to not be too good at math... take Justin Timberlake.  in the show   "Friends with Benefits"  he's horrible at math but good at life.  so don't worry too much. You are still a good person.. even if you're bad at math :P

Step-by-step explanation:

now for the math part

as below

Answer:

Simplifying

logx + -4 = 0

Reorder the terms:

-4 + glox = 0

Solving

-4 + glox = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + glox = 0 + 4

Combine like terms: -4 + 4 = 0

0 + glox = 0 + 4

glox = 0 + 4

Combine like terms: 0 + 4 = 4

glox = 4

Divide each side by 'lox'.

g = 4l-1o-1x-1

Simplifying

g = 4l-1o-1x-1

Answer:

[tex]x=40000[/tex]

Step-by-step explanation:

[tex]log(x)-log(4)=4\\log(\frac{x}{4})=4\\\frac{x}{4} = 10^4 \\x=4*10^4=40000[/tex]

Answer:

she needs 1/3 chocolate bars

Step-by-step explanation:

8 × 2/3

=5 1/3

Answer:

Hello There!!

Step-by-step explanation:

If 1 ton=2000 (1 ton to 4 is times by 4 so 2000

4 tons=8000 is times by 4)

hope this helps, have a great day!!

~Pinky~

Answer:

Yes, it is a right triangle

Step-by-step explanation:

Answer: Yes it is

Note that a right triangle is a triangle with a right angle.

Answer:

17/27

Step-by-step explanation:

Since there are 10 blue marbles, and 27 total marbles, the probability of not choosing a blue marble is 17/27 because you subtract the amount of blue marbles (10) from the amount of total marbles (27).

The probability of not choosing a blue marble is 17/27.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Number of red marbles = 4

Number of blue marbles = 10

Number of green marbles = 7

Number of yellow marbles = 6

The event is the probability of not choosing a blue marble is

⇒ [tex]\frac{red+green+yellow}{Total marbles}[/tex]

⇒ [tex]\frac{4+7+6}{27}[/tex]

⇒ [tex]\frac{17}{27}[/tex]

Hence we can conclude that the the probability of not choosing a blue marble is 17/27.

Learn more about probability here

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Answer:

The average temp was 4

Step-by-step explanation:

Answer:

151.2

Step-by-step explanation:

7x12=84

84/3=28

28x5.4=151.2

Answer:

3:2

Step-by-step explanation:

a square has the same side lengths so just √36 = 6 to find the sides of the squares then compare the two sides in ratio form 6:4 then reduce

Answer:

Angle A=68

Step-by-step explanation:

68+x+(x-24)=180

68+x+x-24=180

2x+44=180

2x=136

x=68

Answer:

(3)

Step-by-step explanation:

Answer: 81.2

Step-by-step explanation:

Answer:

92.75 miles

Step-by-step explanation:

3.71 / 2 = 1.855

1.855 * 50 miles = 92.75 miles

Answer: See attachment below (graphing)

Step-by-step explanation:

INFORMATION:

The slope-intercept is when y=mx+b

mx=the slope

b=y-intercept

REPHRASE EQUATION:

y=mx+b

y=-3-x

y=(-1)x-3

CONCLUSION:

Slope=-1

Y-intercept=-3

Hope this helps!! :)

Please let me know if you have any questions

Answer:

the graph​: y = -3 - x

Step-by-step explanation:

From the table, let's extract a set of data.

let's take x = 3, y = -9.

Let's substitute x into each of the equation to check.

A.

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

From here we can see the calculated y is not equal to the y in the table, therefore this cannot be the answer.

B.

[tex]y = x \\ y = - 3[/tex]

From here we also can see the calculated y is not equal to the y in the table, therefore this also cannot be the answer.

C.

[tex]y = 3x \\ = 3( - 3) \\ = - 9[/tex]

From here we can see the calculated y is equal to the y in the table , therefore this is the answer.

D.

[tex]y = - 3x \\ = - 3( - 3) \\ = 9[/tex]

From here we can see the calculated y is not equal to the y in the table, therefore this is not the answer.