a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?

Answers

Answer 1

Answer: Sooo, 2/3 of a yard is 2 feet because a yard is 3 feet. If you need 10 of the same pieces and you convert feet to inches you would have 24 inches. 24/10= 2.4. Each piece of licorice would need to be 2.4 inches long if you wanted the same length.

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19/20-3/20 in simplest form

Answers

The correct answer is 8

In a school, the ratio of musicians to athletes is 3:1. which statement is true13 of the total students are musicians.

If there are 18 people, then 12 of them are athletes.

If there are 3 athletes, then there are 12 musicians.

The number of musicians is 3 times the number of athletes

Answers

I think the correct answer from the choices listed above is the last option. In a school, the ratio of musicians to athletes is 3:1. This means that the number of musicians is 3 times the number of athletes. Hope this answers the question. Have a nice day.

Answer: The answer is (D) The number of musicians is 3 times the number of athletes.

Step-by-step explanation: Given that the ratio of musicians to athletes in a school is 3 : 1. We are to select the correct statement out of the given four options.

Since the total number of people are not given, so we cannot say that 13 of them are musicians. Therefore, option (A) is incorrect.

If there are 18 people, then number of athletes is given by

$(x)/(x+3x)* 18=4.5\neq 12,$

and hence the option (B) is not correct.

If there are 3 athletes, then

x=3, and so the number of musicians = 3 × 3 = 9 ≠ 12. Therefore, the option (C) is not correct.

Number of musicians = 3x = 3 × x = 3 × number of athletes.

Thus, the correct option is (D) The number of musicians is 3 times the number of athletes.

The factorization of x2 + 3x – 4 is modeled with algebra tiles.What are the factors of x2 + 3x – 4?
(x + 4) and (x – 4)
(x + 3) and (x – 4)
(x + 4) and (x – 1)
(x + 3) and (x – 1)

Answers

The quadratic trinomial can be factor using the following formula:

$ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are trinomial roots}$ .

1. For the quadratic trinomial $x^2 + 3x - 4$ find the roots:

2. The factoring form of trinomial is

$x^2+3x-4=(x+4)(x-1)$ .

3. The factors are x+4 and x-1

Answer: correct choice is C.

x² + 3x - 4

factors of x² are x * x
factors of -4 that will result to a +3

4 * -1 = -4
4 - 1 = 3

(x + 4) and (x - 1)

x(x-1) + 4(x-1)
x² - x +4x - 4
x² + 3x - 4

Decide whether this statement is always true, never true, or sometimes true, and explain why: In a quadratic equation of the form 0 = ax2 + bx + c, there will be two real solutions if a and c are of opposite signs

Answers

Answer:

Always true

Step-by-step explanation:

Here, we want to evaluate if the given statement is true

The discriminant D can be calculated using the formula;

b^2 - 4ac

if D is greater than 0, then we will have only real roots

In a case where a and c are of opposite signs;

then -4ac will always give a positive value which can be added to b^2

This positive value will ensure that D is greater than zero and hence we can have only real roots

So this assertion is always true if a and c are of opposite signs

Solve the multi-step equation by combining like terms and using inverse operations and the properties of equality.Equation: –4x – 5 + 2x = –11

What is the value for x?

Answers

The value of x for the expression -4x - 5 + 2x = -11 is 3.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

-4x - 5 + 2x = -11 is an equation.

We have,

-4x - 5 + 2x = -11

Combine like terms.

-2x - 5 = -11

Add 5 on both sides.

-2x = -11 + 5

-2x = -6

Divide both sides by -2.

x = 3

Thus,

The value of x is 3.

Learn more about equations here:

brainly.com/question/17194269

#SPJ2

Answer:

x = 3

Step-by-step explanation:

-4x - 5 + 2x = -11

add 5 to both sides and cancel the -5 on the left

-4x + 2x = -6

combine -4x and 2x

-2x = -6

divide both sides by -2 and cancel the -2 on the left

x = 3

5 cm
12 cm
4 cm
Find the volume.

Answers

240 cm

The formula for volume is length X width X height which gives you 240 cm

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