simplify
(3k^4) (7k^5)

Answer:

About $241.66

Step-by-step explanation:

Because the teachers sold 58 t-shirts for $12.50 each, multiply the amount of shirts sold by the price of each shirt to get the total amount of money that they made.

58 × 12.50 = 725

To find how much each teacher made, divide the total price by the number of teachers.

725 ÷ 3 = 241.66

Each teacher made about $241.66.

Answer:

C = 7p

Step-by-step explanation:

Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.

9514 1404 393

Answer:

  7%

Step-by-step explanation:

Let x represent the percentage of water in the mix. The amount of water in the mix is ...

  5%·120 +10%·80 = x·(120 +80)

  14/200 = x = 7% . . . . . . . . . . . . . . simplify, divide by 200

The percentage of water in the mixture is 7%.

Answer:

B

Step-by-step explanation:

B because it says Valerie is 4 seconds faster than Peter so that should be S-4 but they tell you to find the average which is S-2 so that's your answer.

Hope I got this correct, I haven't done average in a long time.

1)  The midpoint of AB for A(5, 12) and B(-4, 8) is (1/2, 10)

2) The coordinate of G will be at (-2, -20) if P (-5,10) is the midpoint of EG and E has coordinates (-8,6).

The midpoint of a line is the point that divides such a line into two equal parts.

The formula for calculating the midpoint of a line is expressed as:

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

1) Given the coordinates A(5, 12) and B(-4, 8).

X = (5+(-4))/2

X = (5-4)/2

X = 1/2

Get the coordinate Y

Y = (12+8)/2

Y = 20/2

Y = 10

Hence the coordinate of the midpoint of AB for A(5, 12) and B(-4, 8) is

(1/2, 10)

The formula for calculating the midpoint of a line is expressed as:

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

1) Given the midpoint P (-5, 10) and the coordinate  (-8, 6)

Get the X coordinate of G

X = (x1+x2)/2

-5 = (x1-8)/2

-10 = x1 - 8

x1 = -10 + 8

x1 = -2

Get the Y coordinate of G

Y = (y1+y2)/2

10 = (y1+8)/2

20 = y1+8

y1 = 20-8

y1 = 12

Hence the coordinate of G will be at (-2, -20)

Learn more here; https://brainly.com/question/3510899

9514 1404 393

Answer:

Step-by-step explanation:

The direct proportion equation is ...

  y = kx

where k is the constant of proportionality. Here, you're told k=-2, so the equation is ...

  y = -2x

For x=8, the value of y is ...

  y = -2(8) = -16 . . . . . do the multiplication

For y = -20, the value of x is ...

  -20 = -2x

  10 = x . . . . . . . . . divide both sides by -2

Answer:

-16 & 40

Step-by-step explanation:

When x = 8

y = -2 × 8

y = -16

When y = -20

x = -2 × -20

x = 40

Answer:

0.2

Step-by-step explanation:

5/25

= 20/100

[Multiplying by 4 to make the denominator 100]

= 0.20

[We count the number of zeroes in denominator and move the decimal to the left to the number of places same as the number of zeroes, in numerator. Here there are two zeroes after 1 (in 100, the denominator), so we moved the decimal to the left by two places (20.0 becomes 0.20)

P.S.- This works only when the denominator is something like 10, 100, 1000, 10000 etc.]

= 0.2 [0.20 is simplified as 0.2]

Or simply divide 5 by 25

A picture of the division is attached.

Steps:

1. Since 25 cannot divided 5, we will write a zero and a decimal in the quotient.

2. After this we will add a zero to 5, so that it becomes 50.

3. 50÷25 is 2, so write 2 in the quotient after the decimal.

4. Your answer is 0.2.

Answer:

Step-by-step explanation:

Note that

[tex]\frac{\sqrt{5}}{3}=\frac{5\sqrt{5}}{15}\\\frac{3}{5}=\frac{9}{15}[/tex]

Since

[tex](5\sqrt{5})=125 > 81 = 9^2, \text{ then }\\\frac{5\sqrt{5}}{15} >\frac{9}{15}[/tex]

So

[tex]\frac{3}{5} < \frac{\sqrt{5}}{3}[/tex]

Now clearly

[tex]\frac{\sqrt{5}}{3} < 1 < 27, 5 < 97 < 97\pi[/tex]

Therefore

[tex]\frac{3}{5} < \frac{\sqrt{5}}{3} < 27,5 < 97\pi[/tex]

Answer:

-5

Step-by-step explanation:

-3y=-3x+15

y=x-5

make x=0

y=0-5

y=-5

Answer:  124

Step-by-step explanation:

20 + 52*2 = 20 + 104  

20 + 104 = 124

Answer:D

Step-by-step explanation:

Answer:

b=2 a=5

Step-by-step explanation:

Answer:

4.5454 seconds

Step-by-step explanation:

1.5 km is equal to 1,500 m

1,500 m divided by 330.0 m/s = 4.5454 s

Answer:

144×4=576

Step-by-step explanation:

no of marbles maria has=144

no of mrbles emanuel has=4 times of maria

Now,

no of marbles of emanuel= 4×144

= 576

Answer:

a = -11, 17.

Step-by-step explanation:

-7 =  |a-3| / -2

Multiply both sides by -2:

|a - 3| = 14

So a - 3 = 14

Giving a = 17

or

a - 3 =- -14

giving a = -11.

Checking these values:

-7 = |17-3| / -2 = 14/-2 = -7  

- so a = 17 is a solution.

-7 = |-11-3| / -2 = 14/-2 = -7

so a = -11 is also a solution.

Answer:

With my predictions it is 2/11 hope it helps

Answer:

-5+2

-3

Step-by-step explanation:

We start with -5 then add 2

-5+2 = -3

Step-by-step explanation:

Expression = -5 + 2

Sum = -5 + 2 = 3

Answer:

I)

[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]

II)

[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]

III)

[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]

Step-by-step explanation:

We are given the three equations:

[tex]\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy[/tex]

I)

We want to find:

[tex]\displaystyle A + B + C[/tex]

Substitute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)[/tex]

And combine like terms. Hence:

[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]

II)

We want to find:

[tex]\displaystyle A - B + C[/tex]

Likewise, substitute:

[tex]\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)[/tex]

Distribute:

[tex]\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )[/tex]

And combine like terms. Hence:

[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]

III)

We want to find:

[tex]\displaystyle A + B - C[/tex]

Substitute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)[/tex]

Distribute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)[/tex]

And combine like terms. Hence:

[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]

Answer:

-x+y, +y-x is the equation of the line in slope intercept

Answer:

y= - 13x/9 + 14 2/3

Step-by-step explanation:

There are two steps to these types of questions

1. Find the slope

2. Find the y intercept

For the slope, use this formula

m = y2-y1

______

X2-x1

= - 7 - 6

______

6- (-3)

= - 13

___

9

Ok first step done, now the y intercept,

y = mx + c ( slope-intercept form)

Since now u got m, put it in

y= (-13/9)x + c

Now they gave u two different coordinates,

(-3, 6) & (6,- 7), but these two coordinates are on the same line, therefore u can choose any one of them to be your y and x

I will choose (-3, 6)

Therefore

6 = (-13/9) (6) + c

6 = - 8 2/3 + c

C = 6 + 8 2/3

C = 14 2/3

Therefore your slope intercept for will be

y= - 13x/9 + 14 2/3

Answer:

16.082

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

hope this helps

Answer:

THEN ITS POSITION FROM SEA LEVEL=80-25

=55