What is the solution to the system of equations?
y=-3x + 6
y= 9
(-21,9) (9, -21)
(-1,9)
(9,-1)

Final answer:

The volume of Kathy's stacks is 24 cm³ greater than Marco's stacks. Each cube has a volume of 8 cm³, and after multiplying by the number of cubes each person has and subtracting, we find the difference in volume.

Explanation:

To calculate how much greater the volume of Kathy's stack of cubes is compared to Marco's, we need to determine the volume of both sets of cubes and then subtract the smaller volume from the larger one. Each cube has a volume of 2 cm × 2 cm × 2 cm, which equals 8 cm³.

Kathy has 8 cubes, so her total volume is:

8 cubes × 8 cm³ per cube = 64 cm³.

Marco has 5 cubes, so his total volume is:

5 cubes × 8 cm³ per cube = 40 cm³.

To find out how much greater Kathy's volume is:

Kathy's volume – Marco's volume = 64 cm³ – 40 cm³ = 24 cm³.

Therefore, the volume of Kathy's stacks is 24 cm³ greater than Marco's stacks.

(180-30)/2 would be the equation and the answer is 150/2

The value of x (the perpendicular side) in the given right triangle is approximately 21.2137.

In a right triangle with a 45° angle, we can use the trigonometric function sine (sin) to find the value of the perpendicular side (x) when the hypotenuse is given.

sin(angle) = opposite / hypotenuse

Here the angle is 45°, and the hypotenuse is 30.

Therefore, we can write the equation as:

sin(45°) = x / 30

To solve for x, we can rearrange the equation:

x = sin(45°) × 30

Using the value of sin(45°) = 0.7071 (approximately), we can calculate x:

x = 0.7071 × 30

x = 21.2137

Therefore, the value of x (the perpendicular side) in the given right triangle is approximately 21.2137.

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Answer:

5^2 * 5^9

5^3 * 5^8

5^4 * 5^7

Step-by-step explanation:

The easiest way to approach this problem is to first express 5^(11) in its simplest form:

5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5

Then you can regroup them as you want, to still express the same value, but shown as a product of different numbers, including:

(5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5 * 5^(10)

(5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^2 * 5^9

(5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^3 * 5^8

(5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^4 * 5^7

And so on....

The answer is:

She will need 9 tins to cover all the panels.

To find how many tins will she need to cover the 30 panels for her allotment and her garden, we need to calculate the total area of the panels and then, calculate how many tins will she need knowing that each liter of tin, covers 12 square meters.

We are given the dimensions of the panels:

[tex]Long=1.8m\\Hight=2m[/tex]

Now, calculating the area of one (1) panel, we have:

[tex]Area=long*height=1.8m*2m=3.6m^{2}[/tex]

So , the total area of all 30 panels is:

[tex]TotalArea=30*3.6m^{2}=108m^{2}[/tex]

Then, calculating how many tins will she need to paint all the panels, we have:

[tex]NeededTins=\frac{TotalArea}{AreaToCoverWithOneTin}\\\\NeededTins=\frac{108m^{2}}{12m^{2} }=9[/tex]

Hence, we have that she will need 9 tins to cover all the panels.

Have a nice day!

To treat 30 panels, Nancy will need 9 tins of wood preservative.

The total area of 30 panels:

Each panel is 1.8m * 2m = 3.6m²

Total area for 30 panels = 30 panels * 3.6m²/panel = 108m²

Calculate the number of tins needed:

1 litre of preservative covers 12m²

Number of tins needed = Total area / Area covered by 1 tin = 108m² / 12m² = 9 tins

Step-by-step explanation:

8*8=64

4S=64

S=16

white = 6S = 96 ft²

Blue = 6S = 96 ft²

Turkeyy :))

The area of the figure will be 96 square feet.  Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A composite figure has three congruent triangles removed from it.

Then the area of the figure will be

Area = 3 x area of square + 3 x area of triangle

Area = 3 x 8 x 8 - 3 x 1/2 x 8 x 8

Area = 192 - 96

Area = 96 square feet

The area of the figure will be 96 square feet.

Then the correct option is A.

More about the geometry link is given below.

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Answer:

8n

Step-by-step explanation:

8 and n are factors of the product 8·n.

A correct option is option (a).

The functions factor is used to encode a vector as a factor (the terms ‘category’ and ‘enumerated type’ are also used for factors). If the argument ordered is TRUE, the factor levels are assumed to be ordered. For compatibility with S, there is also a function ordered.

The factor of [tex]8n[/tex] is,

[tex]8\times n[/tex]

We cannot find the factor [tex]8-n[/tex] and [tex]8+n[/tex]

And the factor of [tex]\frac{8}{n}[/tex] is [tex]\frac{8}{n} =8\times \frac{1}{n}[/tex]

Learn more about the topic factor:

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Answer:

5 pencils can be bought with 45 cents

Step-by-step explanation:

Answer:

1:5.25

2:10.5

10:52.5

x:5.25x

Step-by-step explanation:

Basically, you do 42 divided by 8 to get the cost of $5.25 which is the cost of one ticket. Then you multiply that for each number of ticket.

Answer:

A

Step-by-step explanation:

If you reflect figure P over the x-axis, it will be below the axis, below where figure P is. Then you need to move it 7 units right.

Answer: A

Answer:

88 inches

Step-by-step explanation:

Diameter is 2 times the radius (r) so divided 28 by 2 to get 14 as the radius.

Plug this in:

2π14

28π

87.964

88

The answer is 88 btw

Answer:

45 years

Step-by-step explanation:

First, lets break the problem down, step-by-step.

Jeremy's age can be represented using the varibale, j.

His father's age is 53, or 11 less than j squared.

Jeremy's father's age can be represented using the following equation:

j^2 - 11 = 53

Now, solve for j.

j^2 - 11 = 53

j^2 = 64

j = 8

That means Jeremy is 8 years old. Now, find the difference between his age and his father's age.

53 - 8 = 45.

So, Jeremy's father is 45 years older than his son.

I hope this helps! :)

To find how many years older Jeremy’s father is than Jeremy, we determined that Jeremy is 8 years old and his father is 45 years older than him. We did this by solving the equation derived from the problem statement. Thus, Jeremy's father is 45 years older than Jeremy.

To solve the problem, let's denote Jeremy's age by x. According to the problem, Jeremy’s father’s age is 11 less than Jeremy’s age squared. The given information states that Jeremy’s father is 53 years old.

We can write this as an equation:

[tex]x^2 - 11 = 53[/tex]

[tex]x^2 = 53 + 11[/tex]

[tex]x^2 = 64[/tex]

Taking the square root of both sides, we get:

x = 8

So, Jeremy is 8 years old. Now, to determine how many years older Jeremy’s father is than Jeremy:

53 (father's age) - 8 (Jeremy's age) = 45

Thus, Jeremy’s father is 45 years older than Jeremy.

[tex]\bf \cfrac{1}{x-10}\div\cfrac{9x}{x^2-9x-10}\implies \cfrac{1}{x-10}\cdot \cfrac{x^2-9x-10}{9x} \\\\\\ \cfrac{1}{\begin{matrix} x-10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\cdot \cfrac{\begin{matrix} (x-10) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+1)}{9x}\implies \cfrac{x+1}{9x}[/tex]

Answer:

Step-by-step explanation:

|a| = a for a ≥ 0

|a| = -a for a < 0

therefore

|-4.5| = -(-4.5) = 4.5

Answer:

4.5

Step-by-step explanation:

usually if you are finding absolute value for a negative number, it is usually the opposite of that negative number.

If I am trying to find absolute value for -7 it would be 7.

For this case we have the following functions:

[tex]f (x) = 2x ^ 2-18\\g (x) = - 3x-7[/tex]

We must find:

[tex](f-g) (2)[/tex]

By definition, we have to:

[tex](f-g) (x) = f (x) -g (x)[/tex]

So:

[tex](f-g) (x) = 2x ^ 2-18 - (- 3x-7)\\(f-g) (x) = 2x ^ 2-18 + 3x + 7\\(f-g) (x) = 2x ^ 2 + 3x-11[/tex]

Then, we evaluate in x = 2:

[tex](f-g) (2) = 2 (2) ^ 2 + 3 (2) -11\\(f-g) (2) = 2 (4) + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 3[/tex]

ANswer:

[tex](f-g) (2) = 3[/tex]

Answer:

Because the answer is found as

5/2(s) - 5/2(s) = 0,

S can actually be anything since the above results to 0(s)=0 and anything multiplied by 0 just gives you 0 Hence, the value of S can be anything

Answer:

5/2(s) - 5/2(s) = 0

Step-by-step explanation:

It’s c

Step-by-step explanation:

I did it

Answer:

It's C

Step-by-step explanation:

So I went to Brainly to get answers too but I couldn't find any. I guessed and got it right on edge2022

I guess it’s the second one because only in the second the x value is giving the respective y value

Answer:1 1/4+2 1/6+1 1/3+3=12.916_

12.916/93=.13888172 dollars an hour.

.13888172(h)=m

Step-by-step explanation:i converted to decimals but its still the same

Hannah worked for a total of 7 11/12 hours and earned $93. She charges approximately $12 per hour, so the equation for the amount she earns is m = 12H.

To find out how much Hannah charges per hour, we first need to find the total number of hours she worked. Adding up the hours given, Hannah worked 1 1/4 + 2 1/6 + 1 1/3 + 3 hours = 7 11/12 hours. Since Hannah earned $93 for these hours, we can set up the equation, m = 93 / (7 11/12), where m represents the money Hannah earns per hour, and H represents the total number of hours Hannah worked. Upon solving this equation, we find that Hannah charges approximately $12 per hour.

Therefore, the equation that can be used to determine the money Hannah earns from walking the dogs is m = 12H.

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Answer:15 pi

Step-by-step explanation:

The scope is 10(r)*2*pi

XPY is 3 quarters of the slope, which equals to 0.75*20*pi=15pi

the 0 are 2, 3 and -6. ....

Answer:

Given function,

[tex]f(x)=(x^4-16)(x^2+3x-18)[/tex]

[tex]=((x^2)^2-(4)^2)(x^2+(6-3)x-18)[/tex]

[tex]=(x^2-4)(x^2+4)(x^2+6x-3x-18)[/tex]

[tex]=(x-2)(x+2)(x^2-(2i)^2)(x(x+6)-3(x+6))[/tex]

[tex]=(x-2)(x+2)(x+2i)(x-2i)(x-3)(x+6)[/tex]

For zeros of function f(x),

f(x) = 0

[tex]\implies (x-2)(x+2)(x+2i)(x-2i)(x-3)(x+6)=0[/tex]

By zero product property,

We get,

x = 2, -2, -2i, 2i, 3, -6

Hence, the real roots of f(x) are 2, -2, 3, -6.

Also, the roots lie at the point where a function intersects the x-axis.

Hence, the positions of the roots of f(x) in the graph are ,

(2, 0), (-2, 0), (3, 0) and (-6, 0)

Answer:

Step-by-step explanation:

Multiply the first bracket by 13

Multiply the second bracket by -4

13(6-x)-4(3x+12)=0

78-13x-12x-48=0

30-25x=0

-25x+30-30=0-30

-25x=-30

Divide by -25 for -25x and-30

x=30/25 reducing: 6/5= 1 1/5

Answer can be 30/25 or 6/5 or 1 1/5

Answer:

2 quart ///////////////////// I think

Explanation:

5x+5x=10x

Answer is 10x( D).

The expression (5x + 5x) is equivalent to....

10x

The answer would be D

Hope this helps!

Answer: c) (11,-2)

Step-by-step explanation:

The formula for calculate a midpoint is:

[tex]M=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

You know that R is the midpoint of segment PS and P is located at (8,10), and S is located at (12,-6). Then you can substitute these coordinates into the formula to find the coordinates of the midpoint R:

 [tex]M_{R}=(\frac{12+8}{2}, \frac{10+(-6)}{2})=(10,2)[/tex]

Now, knowing the coordinates of R and S, you can substitute them into the formula to find the coordinates of the midpoint Q of segment RS. Then:

[tex]M_{Q}=(\frac{10+12}{2}, \frac{2+(-6)}{2})=(11,-2)[/tex]

The option c is correct. The final coordinates of Q are (11, -2).

To find the coordinates of Q, we need to follow a step-by-step process, starting from the given points of P and S.

Step 1: Find the coordinates of R

R is the midpoint of segment PS. Given P(8,10) and S(12,-6), the midpoint formula is:

Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)

So, [tex]R = ((8 + 12)\div2, (10 + (-6))\div2) = (20\div2, 4\div2) = (10, 2)[/tex]

Step 2: Find the coordinates of Q

Q is the midpoint of segment RS. Given R(10,2) and S(12,-6), we apply the midpoint formula again:

[tex]Q = ((10 + 12)\div2, (2 + (-6))\div2) = (22\div2, -4\div2) = (11, -2)[/tex]

Final Coordinates:

Thus, the coordinates of Q are (11, -2). The correct answer is: (c) (11,-2)

Answer:

7,366,327.50 pascals

Step-by-step explanation:

we know that

1 atm= 101,325 pascals

we have

72.7 am

Convert to pascals

72.7 atm=72.7*101,325=7,366,327.50 pascals

Answer:

see explanation

Step-by-step explanation:

4

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AB}{DE}[/tex] ( substitute in values )

[tex]\frac{x-1}{18}[/tex] = [tex]\frac{4}{12}[/tex] ( cross- multiply )

12(x - 1) = 72 ( divide both sides by 12 )

x - 1 = 6 ( add 1 to both sides )

x = 7

------------------------------------------------------------------------------

5

The parallel line segment SV is half of RW

that is x = 7.5

SV also divides the sides RT and WT in proportion, that is

[tex]\frac{10}{3}[/tex] = [tex]\frac{8}{y}[/tex] ( cross- multiply )

10y = 24 ( divide both sides by 10 )

y = 2.4

Answer: 150 degrees

Reason: Vertically opposite angles are similar

(When two straight lines form an X when crossing over one another, an angle and the angle on the opposite side of the X are the same)

The measure of angle 8 is 150 degrees.

Opposite angles are angles that are found opposite each other. They are formed when two lines intersect. The value of a pair of opposite angles is equal.

It is given that angle 5 is equal to 150 degrees.

The image is also provided.

We can see that angles 5 and 8 are opposite angles.

We know that opposite angles have equal measures.

This means that the measure of angle 8 is the same as angle 5.

The measure of angle 5 is 150 degrees. Therefore, the measure of angle 8 is also 150 degrees.

We have found that the measure of angle 8 is the same as angle 5 which is 150 degrees since they are opposite angles.

Therefore, we have found that the measure of angle 8 is 150 degrees.

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Answer:

B

Step-by-step explanation:

You may have a different calculator than me, but what I did is I pressed the statistics button on my calculator, then I went to the option that said "Edit" which brought me to a table where I could type the given values in. Then I pressed the statistics button again but this time I went to the page that said "CALC" and I scrolled down to the option that said "LinReg(ax+b), then I went all the way down to where it says "Calculate" and I pressed the enter button. And then it told me what the slope and y-intercept values are for the line of regression (a is the slope, and b is the y-intercept or starting value).

Answer:

it is y=-8.583x+475.215

Step-by-step explanation:

Answer: -125p12z18u3

Reason:

Square negative five twice, so: -5 x -5 x -5 = -125

The first squaring is -5 x -5, which is 25. The second squaring is 25 x (-5), which is - 125.

When it comes to the letters, they act like they are being multiplied.

(p4)3 = p12

(z6)3 = z18

(u)3 = u3

So the answer is -125p12z18u3.

Hope this helps! :)

First you have to know the "power rule." This is when there is an exponent outside the parentheses and some/all of the variables/numbers in the parentheses have exponents as well. What you do is multiply the outer exponent with each of the exponents inside the parentheses.

[tex]((-5)^{1*3} p^{4*3} z^{6*3} u^{1*3} )[/tex]

[tex](-5)^{3}p^{12}z^{18}u^{3}[/tex]

[tex]-125p^{12}z^{18}u^{3}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

A) 5 + 2 =7 x 4= 28

B) 8

Step-by-step explanation:

A) 5 x 4 = 20 and 2 x 4 = 8 so you add 20 + 8 and you get 28

B)  so 5 x 4 is 20 and there is 8 left over and if you do 2 x 4 you get 8

To determine the number of egg salad sandwiches served, we set up an equation 5x + 2x = 28, where x is the number of egg salad sandwiches, and solve for x to find that 4 sandwiches were egg salad sandwiches.

To solve for the number of egg salad sandwiches served at the restaurant, we set up the following equation based on the proportion given: let x be the number of egg salad sandwiches, and 5 times x will be the number of tuna sandwiches since there are 5 tuna sandwiches for every 2 egg salad sandwiches.

The total number of sandwiches is 28, which gives us the following equation:

5x + 2x = 28

We then combine like terms:

7x = 28

Next, we divide both sides of the equation by 7 to solve for x:

x = 28 / 7

x = 4

This means that 4 sandwiches were egg salad sandwiches.