Find the missing side

a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)

if a + b + c = 0. then a³ + b³ + c³ = 3abc

here a + b + c = 15 + (-9) + (-6)

a + b + c = 15 - 15

a + b + c = 0

so a³ + b³ + c³ = 3abc

15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)

= 2430

so the answer is 2430

Answer:

Step-by-step explanation:

30% mark represents:

So

The difference is:

Answer:

25 students

Step-by-step explanation:

Answer:

First Price - 130% of original price

Marked Price(Second Price) - 0.85 of the first price

Second Price: 0.85 x 1.3 x 1 = 1.105

1.105 - 1 = 0.105(10.5%)

In conclusion, the shopkeeper is making a percentage profit of 10.5%.

Step-by-step explanation:

(4x+ 15)° + 11x° = 180° ( linear pair )

4x + 15 +11x = 180

15 x + 15 = 180

15x = 180-15

15x= 165

x= 165/15

x= 11

Answer:

6 ft

Step-by-step explanation:

Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36

Answer:

The slope is -7

Step-by-step explanation:

[tex]y = mx + c[/tex]

The [tex]m[/tex] indicates the slope/gradient of a graph

Answer:

m = -7

Step-by-step explanation:

y = -7x is a typical slope-intercept equation of a straight line.  Comparing it to

y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.

Answer: 0.43ft²

Step-by-step explanation:

You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.

Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:

= 2.45 × 0.17475

= 0.4281375 ft²

= 0.43ft² to nearest hundredths

Note 1 foot = 12 inches

Therefore, 2.097 inches = 2.097/12 = 0.17475 feet

Answer:

Mean = 29

Step-by-step explanation:

Given that,

The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.

We need to find the mean of the cupcakes for a week.

We know that,

Mean = (sum of observations)/(no. of observations)

[tex]\text{Mean}=\dfrac{23+25+32+35+36+25+27}{7}\\\\=29[/tex]

So, the mean of cupcakes is 29.

Answer:

a. h = -2t + 29

b. 14.5 inches (not sure)

c. 5 1/2 minutes

d. The domain means the amount of time elapsed.

e. The value of h means the height of the water left

Step-by-step explanation:

Answer:

Let's define East as the positive x-axis and North as the positive y-axis.

If Michelle's initial position is (0, 0)m

We know that Nathasha is 50m due East of Michelle.

Then the position of Natasha is (50, 0)m

Now we know that Natasha walks 20m due North, then the new position of her's is:

(50, 0 + 20)m = (50, 20)m

While Michelle walks 10m due South (South would be the negative y-axis, then we subtract 10 meters)

Michelle's new position will be:

(0, 0 - 10)m = (0, -10)m

Now we want to know the distance and bearing of Michelle from Natasha.

First, remember that the distance between two points (a, b) and (c, d) is given by:

Distance = √( (a - c)^2 + (b - d)^2)

Then the distance between Michelle and Natasha is:

Distance = √( (50m - 0m)^2 + (20m - (-10m))^2)

Distance = √( (50m)^2 + (30m)^2) = 58.31m

Now to find the bearing you can see the image below:

Point B is Michelle's position and point A is Natasha's position.

To find the bearing, we can make a triangle rectangle as the one shown in the image:

Also remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus).

Where the opposite cathetus is the difference between the x-values of each position, this is:

opposite cathetus = 50m - 0m = 50m

And the adjacent cathetus is the difference between the y-values, this is:

adjacent cathetus = 20m - (-10m) = 30m

Then:

Tan(a) = 50m/30m

Tan(a) = 5/3

Now if we apply the inverse Tan function to both sides, Atan(x) we get:

Atan(Tan(a)) = Atan(5/3)

a = Atan(5/3) = 59°

So the bearing is of 59°.

Answer:

[tex]y = x + 7[/tex]

Step-by-step explanation:

[tex]y = gx + c[/tex]

[tex]gradient = \frac{y}{x} = \frac{1}{1} = 1[/tex]

[tex]where \: the \: line \: meet \: the \: y-axis = 7[/tex]

Answer:

a3) x= 83

y= 180-71 = 109

a4) x=53

w= 180-53...

y=x=53

z= 180-y

Answer:

d

Step-by-step explanation:

on edge

Answer:

D

(0, 3)

Step-by-step explanation:

Answer:

4 minutes

Step-by-step explanation:

Let the time taken for them to have the same number of strawberries be x minutes.

Initially

Ruby: 10 strawberries

Sapphire: 30 strawberries

After x minutes

Ruby: (10 +3x) strawberries

Sapphire: (30 -2x) strawberries

Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,

10 +3x= 30 -2x

Bring all x terms to one side, constant to the other:

3x +2x= 30 -10

Simplify:

5x= 20

Divide both sides by 5:

x= 20 ÷5

x= 4

∴ It will take 4 minutes.

Answer:

[tex](x-4)^2+(y-3)^2=25[/tex]

Step-by-step explanation:

We want to find the equation of a circle who diameter is the segment between the intercepts of the linear equation:

[tex]3x+4y=24[/tex]

Find the intercepts first. To find the x-intercept, let y = 0:

[tex]3x+4(0)=24\Rightarrow 3x=24\Rightarrow x=8[/tex]

The x-intercept is (8, 0).

To find the y-intercept, let x = 0:

[tex]3(0) +4y=24\Rightarrow 4y=24\Rightarrow y=6[/tex]

The y-intercept is (0, 6).

Since this segment is the diameter, its midpoint is our center.

Find the midpoint between (8, 0) and (0, 6). The midpoint formula is given by:

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

Hence, the center of the circle is:

[tex]\displaystyle M=\left(\frac{8+0}{2}, \frac{0+6}{2}\right)=(4, 3)[/tex]

To find the radius of our circle, we can find the diameter and divide it by two.

The diameter is the length of the segment or the distance from (0, 6) to (8, 0).

Find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

So, the diameter of our circle is:

[tex]d=\sqrt{(8-0)^2+(6-0)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]

Therefore, the radius of our circle is 5.

The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Our center is (4, 3) and our radius is 5.

Therefore:

[tex](x-4)^2+(y-3)^2=25[/tex]

Answer:

8xy

Step-by-step explanation:

(5xy)-(-3xy)= 5xy+3xy=8xy

Why:

Well if you have 5 of that something and get 3 more of that something you have 8 of that something.

Answer:

8xy

Step-by-step explanation:

5xy--3xy

a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.

Answer:

Step-by-step explanation:

Answer:

$72.00

Step-by-step explanation:

Amount of discounted money

= 10/100 x $80.00

= $8

Amount he will pay

= $80.00 - $8.00

= $72.00

Answer:

there are 4 groups of 3

Step-by-step explanation:

12 ÷ 3 = 4

answer : 4

Step-by-step explanation:

12 = 3 + 3 + 3 + 3 there are 4 groups of 3

Answer:

a

Step-by-step explanation:

I think so..

Answer:

x = -4

Step-by-step explanation:

to find the axis of symmetry use this formula:

x = -b/2a

if this problem, a = 1, b = 8, c = 16

x = -8/2(1)

x = -4

Answer:

B=8

Step-by-step explanation:

you add 19 to both sides of the equation to get B by itself.

[tex]B=-11+19\\B=8[/tex]

answer:

8,

reason

11+8=19

alalalalalalalaalalalalal

20character minimum^

Step-by-step explanation:

$ 28.50

minus $ 0.00

FINAL Price » $ 28.50

Note: Sales Tax Not Included

Savings » $ 9.50

Effective % Off » 25%

Answer:

$28.5

Step-by-step explanation:

100% - 25% = 75% (so you don't have to add or subtract anything)

38 * .75 = 28.5

=$28.5

Answer:

Triangle RSP is similar to triangle ZXY

Step-by-step explanation:

to be similar triangles the order of the angles must match.

Angle R is 41° so is angle Z

angle S is 54° so is angle X

angle P is 85° so is angle Y

Answer:

The least value is 7.079 because it is in the thousandths place.

Answer:

Step-by-step explanation:

You probably need to make your own version cause mine is super messy but here

Answer:

7%

Step-by-step explanation:

.07x1 is .07, therefore tax rate

please give brainliest im desperate

Answer:

flour 720 g

salt 10.8 g

yeast 14.4 g

oil 36 ml

water 600 ml

Step-by-step explanation:

600 ml - 500 ml = 100 ml = 20% more

Set up ratios to determine 20% of each ingredient and add to the original amount.

Example:

20%/100% = x ml/30 ml

20x30÷100=6

So, for oil, you need 30 ml + 6 ml = 36 ml

6 ml = 20% more

Answer:

=22 m²

Step-by-step explanation:

Total area= Area of rectangle 1 + Area of rectangle 2