Simplify the following expression.
-21 - (-11)

Answer: FH is 9x, given in the question

It's 45 if you solve for x and plug in x=5

Step-by-step explanation:

FG+GH =FH

10+7x= 9x

10=2x

x=5

FG+GH=FH

10 +7(5) = 9(5)

10 + 35 =45

Answer:

[tex]=\left(-5,\:-\frac{5}{2}\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)[/tex]

Answer:

the answer is 6x3 which is 18

Step-by-step explanation:multiply to find out the answer

Answer:

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

72 simplified

Step-by-step explanation:

6 x 10 + 6 x 2

60 + 12 = 72

Answer:

[tex]\huge\boxed{\boxed{72}}[/tex]

Step-by-step explanation:

Hello.

This problem can be solved without using the Distributive Property; all we have to do is use... mental maths. :)

First, add 10 plus 2:

12

Now, multiply 12 times 6:

72

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

The constant of proportionality is 1/3.

Step-by-step explanation:

You can find this answer by taking two coordinates shown and put them into a fraction form.

Example:

The second coordinate is (2, 6)--> 2/6, which reduced is 1/3.

To test that 1/3 is correct, you can do another coordinate: (4, 12)-->4/12, which reduced is also 1/3.

So 1/ 3 is correct.

Or take a look at the graph...

the red lines are always two units across, and the blue lines are always six units in height. So 2/6, (length, height), which can be reduced to 1/3, the constant of proportionality.

Answer:

$10.40

Step-by-step explanation:

Just like any other percent problem, subtract 20%.

$13 - 30% = $10.40

Your answer is $10.40. Hope this helps!

Answer:

Here we have:

IxI < 7

This also can be written as:

-7 < x < 7

and:

IyI < 2.

As above, we can write this as:

-2 < y < 2.

Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)

Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.

The area would be the area inside that rectangle, where i did not shade it so it is easier to read.

Answer:

To the nearest tenth

Percentage= 5.9%

Step-by-step explanation:

In 1995, Germany produced 4.719 million computers.

In that same year, the total computer production of the whole world was 80 million.

The percentage of the world production contributed by Germany

=Number produced by Germany/Number produced by the whole world * 100

The percentage of the world production contributed by Germany

=( 4.719/80)*100

The percentage of the world production contributed by Germany

=5.89875%

To the nearest tenth

= 5.9%

Answer:

t=4

Step-by-step explanation:

Answer:

Solution: 4

Step-by-step explanation:

We are given that log(t - 3) = log(17 - 4t), and need to solve for the value of t. Start off by applying the log rule 'If log(f(x)) = log(g(x)) say, then f(x) = g(x).' Similarly the equation boils down to the following:

t - 3 = 17 - 4t

Solving this equation, we will receive our solution. Let's do it:

t - 3 = 17 - 4t,

t = 20 - 4t,

5t = 20,

t = 20/5 = 4 ✓

The previous solution is correct.

Answer: 48

12+12=24

24+12=36

36+12=48

12x4= 48

Arrange the numbers one on top of the other and line up the place values in columns.

Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number.

Write the answer below the equals line.

:)

Answer:

Step-by-step explanation:

7x - 15 = 4x - 12

3x - 15 = -12

3x = 3

x = 1

y = 7(1) - 15

y = 7 - 15

y = -8

(1, -8)

Answer:

14

Step-by-step explanation:

Perimeter of the ∆ = sum of the length of the 3 sides.

The length of the 3 sides can be calculated by using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between the vertices of the ∆.

The coordinates of the 3 vertices are:

(-1, 3), (2, 2), (-2, -2)

Distance between (-1, 3) and (2, 2):

Let,

[tex] (-1, 3) = (x_1, y_1) [/tex]

[tex] (2, 2) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(2 -(-1))^2 + (2 - 3)^2} [/tex]

[tex] d = \sqrt{(3)^2 + (-1)^2} [/tex]

[tex] d = \sqrt{9 + 1} = \sqrt{10} = 3.2 units [/tex]

Distance between (2, 2) and (-2, -2)

Let,

[tex] (2, 2) = (x_1, y_1) [/tex]

[tex] (-2, -2) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(-2 - 2)^2 + (-2 - 2)^2} [/tex]

[tex] d = \sqrt{(-4)^2 + (-4)^2} [/tex]

[tex] d = \sqrt{16 + 16} = \sqrt{32} = 5.7 units [/tex]

Distance between (-2, -2) and (-1, 3)

Let,

[tex] (-2, -2) = (x_1, y_1) [/tex]

[tex] (-1, 3) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(-1 -(-2))^2 + (3 -(-2))^2} [/tex]

[tex] d = \sqrt{(1)^2 + (5)^2} [/tex]

[tex] d = \sqrt{1 + 25} = \sqrt{26} = 5.1 units [/tex]

Perimeter of triangle = 3.2 + 5.7 + 5.1 = 14.0 units

Answer:

2000

Step-by-step explanation:

20 x 100 = 2000

Hope this helps

Answer:

-5ab + 5a - 3

Step-by-step explanation:

Answer:

Whole numbers include 0 while natural numbers do not.

Step-by-step explanation:

Natural numbers are 1, 2, 3, 4, etc.

Whole numbers are 0, 1, 2, 3, 4, etc.

Answer:

  32,000

Step-by-step explanation:

In 44 years, it will double to 16,000. In 44 more years (88 years from now), it will double again to 32,000.

The population in 88 years will be 32,000.

Answer:

Money left from her earning after expenses is $ 7160.86

Step-by-step explanation:

Money earned by Monica every month = $ 8322.65

Money spend on rent = $ 830.98

Money spend on food = $ 210.36

Money spend on gas every month = $ 120.45

Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )

                                              = 8322.65 - 1161.79

                                              = $ 7160.86

Answer:

Money left from her earning after expenses is $ 7160.86

Step-by-step explanation:

Money earned by Monica every month = $ 8322.65

Money spend on rent = $ 830.98

Money spend on food = $ 210.36

Money spend on gas every month = $ 120.45

Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )

                                              = 8322.65 - 1161.79

                                              = $ 7160.86

Therefore. Money left from her earning after expenses is $ 7160.86

Steps to solve:

4x - 12 + 3x + 9

~Combine like terms

(4x + 3x) + (-12 + 9)

~Simplify

7x - 3

Best of Luck!

Answer:

X = 3/7

Step-by-step explanation:

4X - 12 + 3X + 9 = 0 (separate them)

4X + 3X = 12 - 9 (add)

7X = 3 (divide 7 on both sides)

X = 3/7

Answer:

150

Step-by-step explanation:

400*10=4000

5200-4000=1200

1200 divided by 8 =150

Answer:

150 seats were sold.

Step-by-step explanation:

first do 10x400= 4000

then 5200-4000= 1200

divide that by how much balcony tickets cost, so 1200÷8= 150 seats

Answer:

• The equation is a contradiction

• The solution set is Ø

Step-by-step explanation:

The simplest approach to this problem is solving for the value of y, and then identifying what type of equation it is. Remember that conditional equations have a defined value, contradiction equations have no solutions, and identity type equations have infinite solutions. Let's solve for y,

[tex]\mathrm{Given:5y\:+\:5\:-\:11y\:=\:-\:2y\:-\:7\:-\:4y},\\\\\mathrm{Add\:similar\:elements:}\\\\=> -6y+5=-2y-7-4y\\=> -6y+6y=-6y-12+6y\\=>0=-12[/tex]

Both sides are not equal, and hence we have no solutions. Our equation is contradiction, and the solution set is Ø.

Steps to solve:

~Combine like terms

-6y + 5 = -6y - 7

~Subtract 5 to both sides

-6y = -6y - 12

~Add 6 to both sides

0 = -12

There are no solutions.

Best of Luck!

Answer:

8 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

50 ÷ 6 = 8.3333333333... Which simplify's (as a fraction) into 8 [tex]\frac{1}{3}[/tex].

Each day 8.33 pounds of flour is used.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mr. Edwards bought a 50-pound bag of flour for his bakery.

It was equally divided among 6 days.

So, According per day the flour will be used

= 50/6

= 25/3

= 8.33 pound

Hence, 8.33 pounds used per day.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

C

Step-by-step explanation:

The answer is C

Answer:

Impossible, not enough to answer the question

Step-by-step explanation:

As you can see because there is no number or variable past the equal sign it is simply an expression, please correct me if I am wrong but even if the other side was 0, I doubt a teacher would give this problem with decimals, but it may just be me.

Answer:

There are three servings in 1 pound so there are 8*3 servings in one pound which is 24. Plus an extra serving for the extra 1/3 pound makes for a final answer of 25 servings.

Answer:

Yes it's possible to make a triangle with 4, 4 and 16.

But if it also has 2 equal angles along with the equal sides (4 and 4), you can call it isosceles triangle.

Respuesta:

200.00.

Exli con i

esunsua ma

Here, I required to determine how much I have.

According to the data in the question;

Therefore, the algebraic sum of all my money results in the amount I have now.

The amount I have now is:

$3.00 + $10.00 + $30.00 + $100.00 + $7.00= $150.

The amount I have now is: $150