2. Find the product (2x + 3)(3x - 2).

Answer:

31680 inches

Step-by-step explanation:

To find miles to inches, multiply by 63360 to get the answer.

0.5 x 63360 = 31680

So, he traveled 31680 inches.

Answer:

Supplement of <1 = 122°

Supplement of <2 = 156°

Step-by-step explanation:

Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.

Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°

Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.

Thus:

Supplement of <1 = 122°

Supplement of <2 = 156°

[tex]\large{\bf Step-by-step~explanation:}[/tex]

To simplify this expression, we combine all the like terms. We cannot solve for x because there is no equal sign and/or no value for x.

Equation: (10x² - 10x - 6) + (x + 6)

[tex]\bf Step~1:[/tex]

-10x and x are like terms. Remember: there is an invisible 1 behind the variable x. We add these like normal numbers.

[tex]\bf -10x+1x=-9x[/tex]

[tex]\bf Step~2:[/tex]

-6 and 6 are also like terms. Again, we add them as written.

[tex]\bf -6+6=0[/tex]

Since our answer is 0, we do not have to write it in our simplified expression.

[tex]\bf Step~3:[/tex]

Now, let's add the terms together. Since 10x² doesn't have any like terms, we just let it be. We take our previous number, -9x, and we add it to 10x².

[tex]\bf 10x^2+-9x[/tex]

[tex]\large\boxed{\bf Our~final~answer:10x^2-9x}[/tex]

Answer:

BC = 2

Step-by-step explanation:

If B lies on AC it makes the line segments AB and BC.

AC=10

AB+BC=AC

AB+BC=10

8+BC=10

BC=2

The value of BC is 2 which is the correct answer that would be an option (A).

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment AC , where the length of line segment AC refers to the distance between its endpoints, A and C.

Point B lies on AC between A and C.

A______________B______________C

Given that B lies on AC it makes the line segments AB and BC.

AB = 8 and AC = 10

⇒ AB + BC = AC

⇒ AB + BC = 10

⇒ 8 + BC = 10

⇒ BC = 2

Therefore, the value of BC is 2 which is the correct answer that would be an option (A).

Learn more about the line segment here:

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Answer:

The number is 22

Step-by-step explanation:

Let x be the number

Answer:

22

Step-by-step explanation:

Let the number be x:

x - 10 = 12

x = 12 + 10

x = 22

The answer is 22

Answer:

12^12

Step-by-step explanation:

If the exponent bases are the same you can subtract the exponents. Numerator minus denominator. (16-4=12)

Answer:

51.54mL

Step-by-step explanation:

Density can be defined as the mass per unit volume of a particular object , substance or compound.

Density tell us how heavy or dense that object, substance or compound is.

Mathematically, the formula for Density = Mass(grams)/Volume(ml or cm³)

In the above question, a rock has the following criteria:

Density = 4.56 g/mL.

Mass = 235 g

Volume is unknown.

Imputing this values into the formula for Density, we have:

4.56g/mL = 235g/ Volume

Cross Multiply

4.56g/mL × Volume = 235g

Volume = 235g/4.56g/mL

Volume = 51.535087719mL

Approximately, the volume of the rock to 2 decimal places = 51.54mL

Answer:

-1.236.

Step-by-step explanation:

3/3 = 1.

√5 = 2.236.

1.000 - 2.236 = -1.236.

the answer is negative because the smaller number is subtracting the larger number..........u just subtract the normal way,( the larger number take away the smaller number), but u should insert a negative sign to the answer.

Answer:

572000

Step-by-step explanation:

571863 is rounded of to 572000

Because 8 in 571863 is greater than 5

And thus 1 in 571863 changes to 2 with the rest on the right being zero.

Answer:

y= 2 + 0.23x

Step-by-step explanation:

Giving the following information:

A text message plan costs $2 per month plus $0.23 per text.

First, we need to structure the total cost formula:

y= total cost

x= number of text messages

y= 2 + 0.23x

Now, we can calculate the total cost for any number of text:

x= 200

y= 2 + 0.23*200

y= $48

the answer is -17 :)

Answer:

6

Step-by-step explanation:

Given the prime factors of both numbers

Then the greatest common factor GCF is the product of the common factors

Both 2 and 3 are common factors, thus

2 × 3 = 6 is the GCF

Answer:

x = 4

Step-by-step explanation:

Since JB is the bisector of AD and the length of AD is given as 24 we can conclude that AZ is 12 (half of AD)

2x + 4 = 12

2x = 8

x = 4

Answer:

Solution: 9.43

Step-by-step explanation:

Remember that we can determine the distance between any two points using the distance formula, d = √(x₂ - x₁)² + (y₂ - y₁)². Let's substitute known values to determine the distance:

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2},}\\ \\\\\mathrm{d}= \sqrt{(4 - (-4))^2 + (0 - 5)^2} = \sqrt{(4 + 4)^2 + (- 5)^2} \\= \sqrt{(8)^2 + 25} = \sqrt{64 + 25} = \sqrt{89}[/tex]

Hence the distance between the points (-4,5) and (4,0) is exactly √89. The question asks us to round off to the nearest hundredth, so your solution will be approximated off to two digits → 9.43.

From the graph, we can see that the graph crosses the y-axis at (0,-3) Hence, the correct answer is A (0,3).

The intersection of the graph of the function with the y-axis gives the y-intercept of that function.

The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

The y-intercept is where a line crosses the y-axis, so this is the point where x = 0.

From the graph, we can see that the graph crosses the y-axis at (0,-3)

Hence, the correct answer is A (0,3).

Learn more about y-intercept here:

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Answer:

3/5 cup of fruit for every 1 cup of nuts

Answer:

x = 16

Step-by-step explanation:

Get x alone on one side.

-4 + x = 12

(-4 + x) + 4 = 12 + 4

x = 16

Answer:

(f)2=-2, (f)0=4 and (f)-4=6

Step-by-step explanation:

f(2)= -3(2)+4

-6+4=

-2

f(0)=-3(0)+4

=4

f(-4)=-3(-4)+4

-6+4

=

-2

I hope this helps.

Answer:

11

Step-by-step explanation:

Each number in the sequence decreases by 4, so the next reasonable number would be 11 (15-4=11)

Answer:

8.75

Step-by-step explanation:

Answer:

$1150

Step-by-step explanation:

If 5stray cost $105

X=$105 ×15 =$1575

Answer:

7.5

Step-by-step explanation:

8x÷4=12÷4

2x=3

x=3/2=1.5

2y+10=22

2y=12

y=6

1.5+6=7.5=7½

Answer:

7.5 or 7½

Step-by-step explanation:

8x = 12

x = 12/8 (12/4 / 8/4)

x = 3/2

x = 1.5

2y + 10 = 22

2y = 12

y = 6

1.5 + 6 = 7.5 = 7½

Answer: 7.1

Step-by-step explanation: 210/255 • x/100. This equals to 7.142857142857142.

16=4

49=7

289=17

Step-by-step explanation:

Answer:

f444444444444444444444444Step-by-step explanation:

f

Answer:

To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own.

Step-by-step explanation:

Answer:

ray AD

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

I think the answer is 51 because you have to find the number between the first three to the middle

Answer:8

Step-by-step explanation: