Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle?
A. 144 blocks
B. 100 blocks
C. 24 blocks
D. 20 blocks

Answer:

[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]

Step-by-step explanation:

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]

[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]

Answer:

So I figured it would be easier if I sent the pics instead. Hope it helps

Answer:

Marco is 21

Step-by-step explanation:

Let the sister's age = x

Marco's age = 2*x - 5

x + 2x - 5 + 14 = 48            Combine the left side of the equation.

3x + 9 = 48                         Subtract 9 from both sides

3x = 48 - 9

3x = 39                               Divide by 3

x = 39/3

x = 13

So the sister is 13

Marco = 2x - 5 = 2*13 - 5

Marco = 21

Answer:

25% or 1 in 4 chance.

Step-by-step explanation:

The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.

3/6 can be re-written as 1/2.

The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.

So then, multiply 1/2 by 1/2 to get 1/4.

Answer:

d

Step-by-step explanation:

the answer is d because 2×3 equal 6

[tex]\\ \sf\Rrightarrow a*b=ab^2[/tex]

[tex]\\ \sf\Rrightarrow 2*3[/tex]

[tex]\\ \sf\Rrightarrow 2(3)^2[/tex]

[tex]\\ \sf\Rrightarrow 2(9)[/tex]

[tex]\\ \sf\Rrightarrow 18[/tex]

Answer:

y=5/2x

Step-by-step explanation:

5x=2y

y=5/2x

you cant get ordered pairs from this directly you will only get an equation

Answer:

x+ 3/2y= 15

Step-by-step explanation:

8x+12y=120

To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.

x+ 3/2y= 15

Answer:

550 / 12 = 45.84

45.84 / 4 = approximately 11.46

Answer: 11 11/24

Step-by-step explanation: 550/12 275/6/4/1

(275/6)(1/4)

275/24

11 11/24

y = mx+b

y = 1/3x+4

Sincerely,

William

Answer:

y = 5x + 6

Step-by-step explanation:

lmk if you want an explanation

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:

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

In this problem, the formula is used to find the distance covered on each tour, hence:

[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]

[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]

[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

Then, the total distance is given by the sum of each separate distance, hence:

[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988

Answer:

x = 0 and y = 1                 Solution: (0, 1)      

Step-by-step explanation:

13x +  y = 1       multiply by -6  ⇔      -78x  - 6y = -6

2x + 6y = 6     do not change  ⇔    +  2x + 6y =   6    

                                                           -76x  = 0

                                                                  x = 0

Use the second equation to solve for y if x = 0

2x + 6y =  6

2(0) + 6y = 6

 0 + 6y = 6

     6y = 6

       y = 1       Solution (0,1)

Answer:

168. would be the length

Answer:

x = -8

y = 7

Step-by-step explanation:

5x + 7y = 9

2x - 3y = -37

1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)

10x + 14y = 18 (multiplied by 2)

10x - 15y = -185 (multiplied by 5)

2.) Then, subtract the entirety of one equation to isolate the y-value.

10x + 14y = 18

-10x + 15y = 185

3.) Add and subtract values and divide to find y.

29y = 203

y = 7

4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.

15x + 21y = 27

14x - 21y = -259

29x = -232

x = -8

Answer:

m = -1/2

Step-by-step explanation:

let me know if it helped

(too lazy to write a explanation)

answer is D

graduent should be m¹×m²=-1

and should be the inverse of the other

Answer:

44cm2

Step-by-step explanation:

[8×(5+6)]/2

=(8×11)/2

=88/2

=44cm2

Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

In a dice, there are 6 sides, one of which is a roll is 1, then:

[tex]p = \frac{1}{6}[/tex]

There is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.

For more on probabilities, you can check https://brainly.com/question/24437717

Answer:

15 x 0.40=6

so subtract 6 from 15, and you have $9.

Hope this helps!

Answer:

$9 is correct

Step-by-step explanation:

$15 x 60% is $9

to find 60% you use 100%-40% equals 60%

does this make sense?

Answer:

10

Step-by-step explanation:

2+(2x4)

2x4=8

2+8=10

Answer:

10

Step-by-step explanation:

so we need to use PEMDAS

2×4=8

8+2=10

Answer:

The first one ( y<-8 or y>4 )

Step-by-step explanation:

Answer:

y< -8 or y > 4

Step-by-step explanation:

Interval Notation:

(-∞,-8)∪(4,∞)

Answer:

20(z-7)

Step-by-step explanation:

Answer:

Here is your answer

Step-by-step explanation:

50

Answer:

0.60

Step-by-step explanation:

25/2 = 12.5 wich means that it can't be 0.50 or lower so it has to be 0.60

Answer:

Step-by-step explanation:

Option A

(-2)(-49)

=2×49

=98

Option B

(4)(-27)

=-108

Option C

(-7)(14)

=-98

Option D

(-9)(11)

=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!

Answer:

2/3

Step-by-step explanation:

In the problem the question is How much longer so that means subtract.

10/12 - 1/6 =2/3

Answer:

maybe 2/3 inches

let me know if its wrong..

Answer:

hope it helps B-Y, C-Z, A-X