wahts the gcf and lcm of 18 and 30

[tex]\text{Given that,}\\\\\text{First term,}~ a_1= -\dfrac 16\\\\\text{Common ratio,}~ r = 2 \\\\\text{nth term}~ a_n = a_1 r^{n -1} = -\dfrac 16 \left(2^{n-1}\right)[/tex]

Answer:

x = 10

Step-by-step explanation:

8x - 12 and 6x + 8 are corresponding angles and are congruent , then

8x - 12 = 6x + 8 (subtract 6x from both sides )

2x - 12 = 8 ( add 12 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Answer:

y=√x

Step-by-step explanation: here are the steps

Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.  

Step-by-step explanation:

(3,2);  x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13

Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

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Answer:

No Solution

Step-by-step explanation:

2x - 1 = 2x + 3 Combine the like terms.

0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.

Answer:

  9. 23

  10. D

Step-by-step explanation:

In order to make the equation true, the blank must contain 23.

That statement, however, is an example of the commutative property of addition. The symmetric property says if a = b, then b = a.

__

Your calculator can tell you which expressions are equivalent to 25·18. Clearly, the sum in choice D is not a product that will be equivalent.

Profits are simply the difference between the selling price and the cost price of an item.

The expression that represents the total profit is 3850x - 22100

The profit (p1) on the first item is given as:

[tex]p_1 = 2000x - 10500[/tex]

The profit (p2) on the second item is given as:

[tex]p_2 = 1850x - 11600[/tex]

So, the total profit (p) on the sales of both items is:

[tex]p = p_1 + p_2[/tex]

Substitute known values

[tex]p = 2000x - 10500 + 1850x - 11600[/tex]

Collect like terms

[tex]p = 2000x + 1850x- 10500 - 11600[/tex]

[tex]p = 3850x-22100[/tex]

Hence, the expression that represents the total profit is 3850x - 22100

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Answer:

-17

Step-by-step explanation:

it's telling you to replace x with -3.

You have to replace all the x's with -3.

(-3)2 + (-3) - 8 = -17

[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]

x = -0.89

Step-by-step explanation:

when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.

How I solved it: (just another way to solve this)

9.10-8.20=0.89

since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.

answer in the photo thank me later mate

Answer:

CB = 5, [tex]m\angle{BDA} = 23^\circ[/tex]

Step-by-step explanation:

Assuming that the marks next to angle D mean that [tex]\angle{BDA} \cong \angle{BDC}[/tex], then there is enough information to conclude that the two right triangles are congruent (HA theorem--hypotenuse/angle).

Then all the corresponding parts of the two triangles are congruent, including segments BA and BC, making them the same length.

4x + 1 = 9x - 4

Solving for x,

1 = 5x - 4

5 = 5x

1 = x

Pluggint x = 1 into the two expressions reveals that the length of segment CB is 5.

The two small angles at D are congruent, so [tex]m\angle{BDA}=23^\circ[/tex].

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

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Step-by-step explanation:

(-a)⁴ / (-a)³ = -a

since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)

4 - 3 = 1

so, the exponent 1 remains.

it works also, if we process the exponents first

(-a)⁴ = a⁴

(-a)³ = -(a³)

a⁴/-(a³) = a/-1 = -a

Answer:

a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1

Step-by-step explanation:

perpendicular slopes multiplied by each other would be -1

-1/3 * 3 for a and both other lines is -1

that means a is perpendicular to both b and c

Answer:

They are asking for the SALE price, not the actual price.

28×0.2= $5.60

Archduke Ferdinand is killed. During the conflict, Germany, Austria-Hungary, Bulgaria and the Ottoman Empire (the Central Powers) fought against Great Britain, France, Russia, Italy, Romania, Japan and the United States (the Allied Powers). In the end after 4 years the Allied Powers won. 16 million people were killed. Germany was put to account for everything in the Treaty of Versailles.

Hope that helps

Answer:

1500 words

Step-by-step explanation:

300 times 5 equals 1500.

Answer:

6

Step-by-step explanation:

Since .3 is below .5, you would not round 6 up to 7.

Answer:

3.46 but if you simplify it is 3.5

Step-by-step explanation:

Answer:

3.46410161514

Step-by-step explanation:

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve

1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24

2) Multiply 12 by = 24-3+1+24

3) subtract 3 from 24 = 21+24

4) Add the final two terms = 45

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Answer:

$2,382.03

Step-by-step explanation:

Interest = Principal x Rate x Time

Answer:

the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt

Step-by-step explanation:

Sorry if this is late lol. Hope this helps other people too though.

Alternative interior

4 & 6

3 & 5

Corresponding

1 & 5

4 & 7

2 & 6

3 & 8

Alternative

1 & 8

2 & 7

Consecutive

4 & 5

3 & 6

Answer:

y=(-5/2)x-4

Step-by-step explanation:

Step 1: Define the equation of a line.

Equation of a line is written in the form y=ax+b where a is the slope and b is the y-intercept.

Step 2: Write the given parameters

(x1,y1)=(-2,1)

m=-5/2

Using the formula y-y1=m(x-x1)

y-1=-5/2(x-(-2))

y-1=-5/2(x+2)

y-1=(-5x-10)/2

By cross multiplication,

2(y-1)=-5x-10

2y-2=-5x-10

2y=-5x-10+2

2y=-5x-8

y=(-5x-8)/2

y=(-5/2)x-4

It has a positive slope.

when it starts at the bottom left like that and goes up it is positive. :)

Answer: Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

angle KJL and LJK

is the answer i think

The correct option is B which is 15 g.

Given to us:

the heat  [tex]Q= 350\ Joules[/tex],

the specific heat [tex]c= 1.2\ J/g\ ^o C[/tex],

the lower temperature [tex]t_1= 10^o C[/tex],

the higher temperature [tex]t_2= 30^o C[/tex],

Formula for specific heat:

[tex]Q=mc(\Delta T)[/tex]

where,

[tex]m[/tex] is the mass,

[tex](\Delta T)[/tex] is the temperature difference,

Putting in the values;

[tex]350=m\times 1.2\times (30-10)\\\\m= \dfrac{350}{1.2\times (30-10)} \\\\m=14.5833 grams[/tex]

Hence, the mass is 14.5833 grams. therefore, the correct option is B which is 15 g.

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Answer:

See below

Step-by-step explanation:

No, a constant is a number without a variable ( variables are represented with a letter )

y is a variable as it is a letter.

The constant in y + 2z + 45 + 5x would be 45 as it has no variable.