How do you simplify this inequality 3x-5<4

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider this s

Brut [27]

Answer:

The solution of this system of equation is ( 3, - 8)

Step-by-step explanation:

1. Let's solve the system of equations:

First equation:

x + 2y = - 13

x = - 13 - 2y

Second equation:

12x + 5y = -4

12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)

-156 -24y + 5y = - 4

-24y + 5y = - 4 + 156 (Like terms)

-19y = 152

y = - 152/19

y = -8 (Dividing by 19)

Solving x

x + 2y = -13

x + 2 (- 8 ) = - 13

x - 16 = - 13

x = - 13 + 16

x = 3

2. Proving that x = 3 and y = - 8 are correct:

12x + 5y = -4

12 * 3 + 5 * -8 = -4

36 - 40 = - 4

- 4 = - 4

We proved that x = 3 and y = - 8 are correct

8 0

3 years ago

Define the height of a triangle use the words vertex and base.

yaroslaw [1]

Answer: The height of a triangle is the perpendicular segment that joins the base with its opposite vertex.

Step-by-step explanation:

The base can be any side of the triangle.

8 0

3 years ago

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an

ASHA 777 [7]

Answer:

a

Yes

b

$P(1 \& 5) = \frac{1}{36}$

c

$P(5 \& 1) = \frac{1}{36}$

d

$P(5 \& 1 | 1\& 5 ) = \frac{1}{18}$

Step-by-step explanation:

From the question we are told that

Two fair dice, one green and one red were rolled

Generally the outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the probability of getting a 1 on a dice rolled is $P(1) = \frac{1}{6}$

the probability of getting a 5 on a dice rolled is $P(5) = \frac{1}{6}$

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

$P(1 \& 5) = \frac{1}{6} *\frac{1}{6}$

$P(1 \& 5) = \frac{1}{36}$

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

$P(5 \& 1) = \frac{1}{6} *\frac{1}{6}$

$P(5 \& 1) = \frac{1}{36}$

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

$P(5 \& 1 | 1\& 5 ) = \frac{1}{36} + \frac{1}{36}$

$P(5 \& 1 | 1\& 5 ) = \frac{1}{18}$

8 0

3 years ago

Use the drop-down menus and the image to complete these statements about prokaryotes. Prokaryotes a nucleus surrounding their ch

Tcecarenko [31]

Answer:

Do not have

More

Cell wall

Flagellum

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the purpose of a standard drink measurement? It allows you to determine if you're getting what you paid for It is a cons

Law Incorporation [45]

Answer:

It is a consistent way of measuring the amount of alcohol in a drink.

Step-by-step explanation:

A standard drink measure is principally used to measure the amount of alcohol in a drink. It may be referred to as equalling the amount you of an alcoholic drink. The standard drink measure contains approximately 14 grams of alcohol. Hence, with with the standard drink measure, a consumer obtain a consistent measure of the alcohol content he/she is consuming. The standard drink measure is an alcohol related measure and not just any drink or food guage.

6 0

3 years ago