Your class is learning to tie knots. Each student needs a piece of rope that is 3/4 yard long. How many yards of rope are needed for the 20 students in your class?

Answer:

Step-by-step explanation: 10 miles per 2 hours is the First step. Knowing this helps a lot. Next you need to understand your solving for 25 miles. 10 goes into 25 2.5 times. This means you need to multiply the time by 2.5 as well. That would be 5 hours.

[tex](14)\\\\x^2 + 14x +45\\\\=x^2 +5x +9x +45\\\\=x(x+5) +9(x+5)\\\\=(x+9)(x+5)\\\\(15)\\\\x^2 +18x +45\\\\=x^2 +15x +3x +45\\\\= x(x+15) +3(x+15)\\\\=(x+3)(x+15)\\\\\\(16)\\\\x^2+46x+45\\\\=x^2 +45x +x +45\\\\=x(x+45) +(x+45)\\\\=(x+45)(x+1)[/tex]

Answer: B

Step-by-step explanation:

m11=54°

m8=117°

m7=63°

Step-by-step explanation:

a) m2=m12 (corresponding angles)

m12=126°

180=m12+m11 (supplementary angles equal 180)

180=126+m11

m11=54°

b) m14=m8. (corresponding angles)

m8=117°

C) m7=180-m8 (supplementary angles equal 180)

m7=180-117

m7=63°

Answer:

M equals 9.3

Step-by-step explanation:

To get m alone add 4.2 to each side

Answer:

  y = 18

Step-by-step explanation:

Direct variation means y will change by the same factor x does. When x changes by a factor of 15/10 = 1.5, the value of y will change by that same factor

  x = 10, y = 12

  x= 15, y = 1.5×12 = 18

The new value of y is y = 18.

_____

Written as a proportion, you have ...

  y/15 = 12/10

  y = 15×12/10 = 18

__

Written as a direct variation equation, you have ...

  y = kx

  12 = k·10   ⇒   k = 1.2

  y = 1.2·15 = 18 . . . . for x=15

Answer:

5.8

miles

Step-by-step explanation:

Since area is l×b or l×l since its a square(sides are equal) we can conclude that S×S=33.64

Another way to represent this is

[tex] {s}^{2} = 33.64[/tex]

to get S we can square root both sides

[tex]s = \sqrt{33.64} [/tex]

[tex] \sqrt{33.64} = 5.8[/tex]

Therefore S=5.8miles

Answer:

90

Step-by-step explanation:

The sum of three numbers is equal to 185, so we can start with this equation, where x is the first number, y is the second, and z is the third:

x + y + z = 185

They tell us that y is 5 times greater than x, so we can insert that equation in for y in the original equation:

x + (5x) + z = 185.

And we are told z is 13 less than y, so we can insert that equation as well by using the equation before:

x + (5x) + (5x-13) = 185

So now we can combine like terms and solve for x.

6x + 5x - 13 = 185

11x - 13 = 185

11x = 198

x = 18

But we're not done, we still need to solve for the second number, which is y. So we insert the number for x into the original equation we have for y, which is that it's 5 times greater than x:

y = 5x

y = (5*18)

y = 90

Answer:

16/20

Step-by-step explanation:

4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5

The answer is 16/20 I think.

Answer:

no they are different numbers, however their signs are inverted

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...

-2x+3 = 10                   2x-3 = 10

     -3     -3                      +3    +3

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

-2x = 7                        2x = 13

x = [tex]\frac{7}{2}[/tex]                               x = [tex]\frac{13}{2}[/tex]

x = 3.5                           x = 6.5

As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.

Hope this helps! :D

Answer:

C. Public colleges are cheaper for in-state residents.

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )

- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by  2 to clear the fraction )

- x ≥ 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ - 4

The only value from the set which satisfies the inequality is

x = - 6

Answer:

Jim is 12 years old. Anna is 3 times older than Jim. Calculate Anna’s age using multiplication.

Step-by-step explanation:

The problem above is solved by using multiplication and the solution to the problem is 36.

you multiply 12 * 3 and you get 36.

hope that helps!

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation:

An advantage of using graphics is to present information briefly.

Answer:

7 quarters

Step-by-step explanation:

Answer:

 70 * 0.895 = 62.65

OR

1   0.895

 70 x

-Cross-multiply

[tex]\frac{70 * 0.895}{1}[/tex] = 62.65

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 20 is the answer.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Option B

Answer:

Ounces

Step-by-step explanation:

Metric tons and tons is too much while kg is too little.

Answer:

its ounces

Step-by-step explanation:

Answer:

Ahmed shoevked more than sheldon

Answer:

N = 34

Step-by-step explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]

Cross multiplying:

[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]

taking 12 to the denominator:

[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{ N = 34 } [/tex]

[tex] \implies \mathsf{ N = 34} [/tex]

Answer:

So the answer would probably be 4.8 feet?

Step-by-step explanation:

Answer:

16 liters to a fraction would be 4.2 or 4 1/5

Step-by-step explanation:

16 liters = 4.22675 gallons

4.2 gallons = 4 1/5 gallons

1000 L= 1 KL

16 L = 0.016 KL

(Divide 16 by 1000 to convert.)

Answer:

1.34

Step-by-step explanation:

Used a Calculator

Answer:

1.34

Step-by-step explanation:

4.69/3.5

=1.34

Answer:

3x+5y-20

have a nice day

M list the sides of ABC in order from shortest to longest

Sum of angles in a triangle = 180

Angles A + B + C = 180

80 + 3x + 5 + 5x - 1 = 180

3x + 5x = 180 - 80 - 5+1

8x = 96

x = 96/8

x = 12

So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59

Angle A = 80, B = 41, C = 59

So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.

So from the smallest to biggest side:

AC < AB < BC

Arigatou gozaimasu!!

Answer:

√

4

x

5

√

(

x

−

1

)

2

−

3

2

+

3

y

−

3

Step-by-step explanation:

√

4

x

5

√

(

x

−

1

)

2

−

3

2

+

3

y

−

3