What is the GCF of 5 , 6 , and 8

Answer:

Solve by undoing the division by multiplying by 6 on both sides of the equation. The solution is c = 54. Check the solution by substituting 54 for the variable in the original equation and then simplify. 9 = 9 is true, so 54 is the solution.

Step-by-step explanation:

The value of c is 54.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 7 is an equation.

We have,

c/6 = 9

Solve for c.

c/6 = 9

Multiply 6 on both sides.

c = 9 x 6

c = 54

Thus,

c is 54.

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Check the picture below.

[tex]\bf \textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[x-(-2)]^2}{6^2}+\cfrac{[y-(-6)]^2}{3^2}=1\implies \cfrac{(x+2)^2}{36}+\cfrac{(y+6)^2}{9}[/tex]

Final answer:

The equation of the ellipse is (x+2)²/36 + (y+6)²/9 = 1, where the center is at (-2, -6), the vertex is at (-8, -6), and the covertex is at (-2, -3).

Explanation:

The equation of an ellipse with a center at (-2, -6), a vertex at (-8, -6), and a covertex at (-2, -3) can be determined using the standard form of the ellipse equation, which is (x-h)²/a² + (y-k)²/b² = 1, where (h,k) is the center, a is the distance from the center to a vertex along the major axis, and b is the distance from the center to a covertex along the minor axis. In this case, the major axis is horizontal because the vertex has the same y-coordinate as the center. Thus, a = 6 (the distance from the center to the vertex) and b = 3 (the distance from the center to the covertex).

The equation becomes: (x+2)²/6² + (y+6)²/3² = 1. Simplified, this is (x+2)²/36 + (y+6)²/9 = 1.

Answer:

18 but look at others awnsers aswell

Step-by-step explanation:

Answer:

Their is a total of 12 rectangles in the picture

Step-by-step explanation:

All of the figures located in the picture are all rectangles

Answer:

89.10

Step-by-step explanation:

To find the volume (how much soil can fit) you do Length x Width x Height in this case it is 4 x 9 x 3

4 x 9 x 3 = 108

Now you have to divide the volume by two because you only want to fill half the box.

108/2=54

Now you multiple the volume by the price to figure out how much soil will cost

54 x 1.65 = 89.1

It will cost $89.10

Heyo! I hope your day is going well! I hope I can help you understand this a bit better!

First things first we have to figure out the total volume of the flower box. To do this we do a simple multiplication problem, 3*4*9, or length*width*height. 3*4 is 12, and then 12*9 is 108. So our total volume for the flower box is 108 cubic feet.

Lucy only wants to fill half of her flower box, so we are going to go ahead and divide our total volume, 108 cubic feet, by 2. Our answer here is 54 cubic feet.

The soil Lucy wants to buy is 1.65 for each cubic foot, meaning we should multiply 1.65 and 54.Our final answer is 89.1!

Answer:

No

Step-by-step explanation:

-6 < 7(-2) + 8

-6 < -14+8

-6 < -6

False statement

[tex]\large\text{Hey there!}[/tex]

[tex]\mathsf{y< 7x+8}[/tex]

[tex]\large\text{In order for you to see if its true or false just plug in the x and y}\\\large\text{value in your equation. Here's what I meant}\downarrow[/tex]

[tex]\mathsf{-6<7(-2)+8}\\\mathsf{7(-2)=-14}\\\mathsf{-14+8=-6}\\\mathsf{-6\neq-6}[/tex]

[tex]\boxed{\boxed{\large\text{\bf{The answer is: \boxed{\mathsf{\bf{}No,\ because\ -6\ is\ NOT\ less\ than\ -6}}}}}}\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dag\dfrac{\frak{LoveYourselfFirst}}{:)}\notlessth[/tex]

Option C:  [tex](6^{-4})^{-4}[/tex]

Option D:  [tex](6^{-2})^{-8}[/tex]

Option F:  [tex](6^8)^2[/tex]

Solution:

Given expression: [tex]6^{16}[/tex]

To find which expression is equivalent to the given expression.

Let us solve this using exponent rule: [tex]\left(a^{b}\right)^{c}=a^{b c}[/tex]

Option A: [tex](6^{0})^{16}[/tex]

[tex](6^{0})^{16}=6^{0 \times 16}= 6^0[/tex]

It is not equivalent expression.

Option B: [tex](6^8)^8[/tex]

[tex](6^{8})^{8}=6^{8 \times 8}= 6^{64}[/tex]

It is not equivalent expression.

Option C:  [tex](6^{-4})^{-4}[/tex]

[tex](6^{-4})^{-4}=6^{(-4 )\times (-4)}= 6^{16}[/tex]

It is equivalent expression for the given expression.

Option D:  [tex](6^{-2})^{-8}[/tex]

[tex](6^{-2})^{-8}=6^{(-2) \times (-8)}= 6^{16}[/tex]

It is equivalent expression for the given expression.

Option E:  [tex](6^{-1})^{16}[/tex]

[tex](6^{-1})^{16}=6^{(-1) \times 16}= 6^{-16}[/tex]

It is not equivalent expression.

Option F:  [tex](6^8)^2[/tex]

[tex](6^{8})^{2}=6^{8 \times 2}= 6^{16}[/tex]

It is equivalent expression for the given expression.

Hence [tex](6^{-4})^{-4}, \ (6^{-2})^{-8}, \ (6^8)^2[/tex] are the equivalent expressions.

Option C, Option D and Option F are correct answers.

Answer:

  Replace "is" with an equal sign.

Step-by-step explanation:

It looks like you want the equation ...

  -9 = -16

which makes no sense at all. Perhaps you intend ...

  -g = -16

Answer:

the  radius of the circle is 6cm

Step-by-step explanation:

the area of a circle is given to be  = 36πcm²

radius of the circle = ?

to find the radius of the circle lets start by applying  the formula for finding the area of a circle.

area of a circle = πr²

36πcm² = πr²

36π = πr²

divide both sides by π

36π/π = πr²/π

36 = r²

to get the value of r we are going to look for a way of getting rid of the square on "r" by squaring 36

r² = 36

r =√36

r = 6cm

therefore the  radius of the circle is 6cm

Answer:

6 cm

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Step 1:  Combine

(-3) + (-2) - (-4)

Two negatives - (-4) makes a positive +4

-3 - 2 + 4

-1

Answer:  -1

Answer:

-1

Step-by-step explanation:

It's quite simple! It is just like normal addition and subtraction but add the negative! Sorry it's a pretty bad response haha

-3-2+4

The value of x is 8√2.

Step-by-step explanation:

From the right triangle,

The length of the side opposite to angle 45° is a=8.

Therefore, the value of y opposite to angle 45° is also 8.(b=8)

Using Pythagorean theorem,

The length of hypotenuse is c ⇒ c² = a²+b²

c² = 8²+8²

c² = 64+64 = 128

c = √128

c = √64[tex]\times[/tex]2

c = 8√2

Volume of the cone is 200 cm³

Step-by-step explanation:

Volume = 1/3 × 3.14 × 5² × 7

             = 183.17 in³ ≈ 200 cm³ (rounding off to nearest hundredth)

Answer:

4 and 6

:)

EDGE 2020

Answer:

B) 4

C) 6

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

Total number of people at the concert = 10000

Number of adults = 6250

Percentage of adults = number of adults/ total number of people at the concert x 100%

That’s

6250/10000 x 100%

0.625 x 100%

62.5%

62.5% of the people at the concert are adults

The numerical limits for a D grade in psychology can be calculated using the Z-score formula. The cutoff scores are below the top 84% and above the bottom 8%. Using the mean of 65.4 and the standard deviation of 9.7, the numerical limits for a D grade are 52 to 79.

To find the numerical limits for a D grade, we need to determine the cutoff scores. According to the given scheme, a D grade corresponds to scores below the top 84% and above the bottom 8%. To calculate these cutoff scores, we can use the Z-score formula. The Z-score is calculated as the difference between a score and the mean, divided by the standard deviation. Using the Z-score table, we can find the Z-scores corresponding to the top 8% and the bottom 8%. Finally, we can use the Z-score formula to find the corresponding scores for those Z-scores.

Given that the mean is 65.4 and the standard deviation is 9.7, we can calculate the Z-scores:

Z-score for the top 8% = 1.405

Z-score for the bottom 8% = -1.405

Using the Z-score formula, where X is the score, the mean is 65.4, and the standard deviation is 9.7:

X = Z * standard deviation + mean

For the top 8%:

X = 1.405 * 9.7 + 65.4 = 79

For the bottom 8%:

X = -1.405 * 9.7 + 65.4 = 52

Therefore, the numerical limits for a D grade are 52 to 79 (rounded to the nearest whole number).

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Answer:

7.57082 liters

Step-by-step explanation:

Area of building is [tex]3,84,000m^3[/tex] .

Step-by-step explanation:

Here we have , a figure in given below picture where we have to find volume of this office building , Let's find out:

If we look closely we see that it's basically cuboid with dimensions 50 m by 110 m by 70 m . But there's one small cuboid sliced off from this cuboid with dimensions 50 m by 10 m by (110-90) m i.e.  50 m by 10 m by 20 m .

Area of building = Area of larger cuboid - Area of smaller cuboid

Area of cuboid = [tex]length(width)(breadth)[/tex]

⇒ Area of building = Area of larger cuboid - Area of smaller cuboid

⇒ [tex]Area = (50(110)(70))m^3 - (50(10)(20))m^3[/tex]

⇒ [tex]Area = 3,85,000m^3 - 10,000m^3[/tex]

⇒ [tex]Area = 3,84,000m^3[/tex]

Therefore, Area of building is [tex]3,84,000m^3[/tex] .

Answer:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

Step-by-step explanation:

We are given the following expression:

[tex]8 (a + 7)[/tex]

We can simplify the expression by distributing 8 over (a+7).

Distributive property:

[tex]a(b+c)\\=(a\times b) + (a\times c)\\=a(b) + a(c)\\=ab + ac[/tex]

Simplifying the expression, we get,

[tex]8(a+7)\\=(8\times a)+(8\times 7)\\=8a + 56[/tex]

Thus, the correct options are:

Option 3)

8(a + 7) can be rewritten as 8(a) + 8(7).

Option 7)

An equivalent expression is 8a + 56

The true statements about the expression 8(a+7) are 2, 3 and 7.

When evaluating the expression 8(a+7), several steps can be taken to rewrite or simplify it. Here's a closer look at the provided statements:

Statement 1 suggests to distribute 'a' to 8 and to 7, which is incorrect. The correct procedure is to distribute the 8 to both 'a' and the 7.

Statement 2 correctly suggests that 8(a) can be rewritten as 8a.

Statement 3 is true, as 8(a+7) can be rewritten following the distributive property as 8(a)+8(7), which simplifies to 8a+56.

Statement 4 is incorrect because it omits the distribution of 8 over both terms within the parentheses.

Statement 5 is incorrect as there is no reason to believe that 8(a+7) simplifies to 15a without any additional information.

Statement 6 is incorrect as it implies that the 8 is only multiplied by 'a' and not by the 7.

Statement 7 is correct because the expression 8(a+7) is correctly expanded to 8a+56.

Henry has 13 chances to get a second turn.

Step-by-step explanation:

When two number cubes numbered from 1 to 6 are rolled, the number of possible outcomes are 36.

The 36 possible outcomes are as follows :

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

It is given that, Henry gets the second turn if he rolls a sum that is an even number less than 10.

Therefore, the even numbers less than 10 are {2,4,6,8}.

Check for the sum of outcomes that gives the result of even number less than 10.

The total number of chances to get second turn = 3+3+2+2+2+1 = 13 chances.

Therefore, Henry has 13 chances to get a second turn.

I assumed that the unit of measure is ft.

Front+back:

S1=2×(4×3.5/2)=4×3.5=14ft²

2 sides+base:

S2=3×(9×4)=9×12=108ft²

Total area: 14+108=122ft²

Step-by-step explanation:

[tex] \sin \: \phi = \cos( \phi + 20 \degree) \\ \\ \therefore \: \cos (90 \degree - \phi )= \cos( \phi + 20 \degree) \\ \\ \therefore \: 90 \degree - \phi = \phi + 20 \degree \\ \\ \therefore \: 90 \degree - 20 \degree = \phi +\phi \\ \\ \therefore \: 70 \degree = 2\phi \\ \\ \therefore \: \phi = \frac{70 \degree}{2} \\ \\ \huge \red { \boxed{ \therefore \: \phi = 35 \degree}}[/tex]

Answer:

36.50

To two decimal places

Step-by-step explanation:

The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.

From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.

Cos 51°=x/58

Let the size of the leg be x

Making x the subject

x=58(Cos51°)

x=36.500058

Correct to two decimal place

x=36.50

Final answer:

The question requires calculating the number of people who stayed and were not bored out of a total of 32 people.

Explanation:

The question involves calculating the number of people who stayed and were not bored out of 32 people.

Therefore, the number of people who were not bored were 4 people.

Answer:

2500

Step-by-step explanation:

Answer: 50x50 is 2500

Step-by-step explanation:

5x5=25

you have two 0s you never used add them to the end of the answer giving you not 25 but 2500

Answer:

Angle A = 78

Step-by-step explanation:

Start with the equation 8x+20=180 and solve for x which equals x=20. You then substitute for x with the equation for angle A. A=3(20)+18 which makes angle A = 78

The measure of ∠A is 78 degrees.

Two angels whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles.

Which means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

∠A and ∠B are supplementary angles. If ∠A=(3x+18) and ∠B=(5x+2)

then find the measure of ∠A.

Now Start with the equation

8x+20 = 180

solve for x which equals x=20.

then substitute for x with the equation for angle A.

A=3(20)+18

angle A = 78

Hence, the measure of ∠A is 78 degrees.

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Answer:

  2. 10

  3. D.  1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b = 1/a^-b

__

  [tex]\dfrac{4^8}{(4^2)^{-3}}\div 4^4=\dfrac{4^8}{4^{-6}\cdot4^4}=\dfrac{4^8}{4^{-2}}\\\\=4^8\cdot4^2=4^{10}[/tex]

The value of n is 10.

__

3. Using the above rules of exponents, the expression simplifies to ...

  6^(-n+n) = 6^0 = 1

The value is 1 for any n.

Answer:

Step-by-step explanation:

The amount of the discount is the difference between the original price and the discounted price. That was ...

  $22.00 -13.20 = $8.80

The percentage of the discount is the ratio of the amount of the discount to the original price. That was ...

  8.80/22.00 × 100% = 40%

The price was discounted $8.80. That was a 40% discount.

Final answer:

The price of the earrings was discounted by $8.80 or 40%.

Explanation:

To find the amount by which the price was discounted, subtract the sale price ($13.20) from the original price ($22):

Discount = Original Price - Sale Price

Discount = $22 - $13.20 = $8.80

The percentage of the discount can be found by dividing the discount by the original price and multiplying by 100:

Percentage of Discount = (Discount / Original Price) * 100

Percentage of Discount = ($8.80 / $22) * 100 = 40%

Answer:((√2) + 2)/2

Step-by-step explanation:

(1+√2)/(√2) x ((√2)/(√2))

(√2(1+√2))/2

((√2)+2)/2

Answer:

Commutative property:  The formula for this property is a + b = b + a. For example, adding 1 + 2 or 2 + 1 will give us the same answer according to the commutative property of addition.

Answer:

Step-by-step explanation:

If "a" represents the number of adult smoothies sold, then 260-a is the number of smoothies sold to children. The total revenue is ...

  3a +1(260-a) = 675

  2a +260 = 675 . . . . . . eliminate parentheses

  a + 130 = 337.5 . . . . . . divide by 2

  a = 207.5 . . . . . . . . smoothies sold to adults

  260-a = 52.5 . . . . . smoothies sold to children

_____

For the given numbers, this is the way it works out. The "half" values suggest there is a typo somewhere, possibly in the curriculum material. Talk to your teacher about this one.