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3 years ago

Which equation is equivalent to x + 3y – z = 3?

2 answers:

4 0

To find which equation is equivalent, we simplify the equations.

3x + 6y – 3z = 6
<span>(3x + 6y – 3z = 6)1/3
</span>x + 2y - z = 2 ------------> not equal

(4x + 12y – 4z = 12)1/4
x + 3y - z = 3<span>------------> equal</span>

(2x + 4y – 2z = 8)1/2
x + 2y - z = 4 ------------> not equal

2x + 3y – 4z = 12 ------------> not equal

Hunter-Best [27]3 years ago

4 0

X + 3y - z = 12 => 4(x + 3y - z = 3) => 4x + 12y - 4z = 12

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An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an

Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

28 students in the Spanish class,
26 in the French class,
16 in the German class,
12 students that are in both Spanish and French,
4 that are in both Spanish and German,
6 that are in both French and German,
2 students taking all 3 classes.

So,

2 students taking all 3 classes,
6 - 2 = 4 students are in French and German, bu are not in Spanish,
4 - 2 = 2 students are in Spanish and German, but are not in French,
12 - 2 = 10 students are in Spanish and French but are not in German,
16 - 2 - 4 - 2 = 8 students are only in German,
26 - 2 - 4 - 10 = 10 students are only in French,
28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

$\dfrac{50}{100} =0.5$

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

$\dfrac{8+10+14}{100}=0.32$

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

$0.5\cdot 0.5=0.25$

So, the probability that at least 1 is taking a language class is

$1-0.25=0.75$

3 0

3 years ago

Find a “solution” for an equation with two variables. Tell me an x, y ordered pair that is a solution (answer) for this equation

Finger [1]

Answer:

Step-by-step explanation:

A graph has a constant of proportionality of 7.2. Let y represent minutes and x represent miles.

What is the unit rate of the relationship?

Enter your answer, as a decimal, in the box

min/mi

pls help me

4 0

3 years ago

How do you solve this?

Law Incorporation [45]

Find the soluiton

2x+2y=16
3x-y=4

x+y=8
<u>3x-y=4+</u>
4x=12
x=3
3(3)-y=4
9-y=4
y=5
(3,5)
test them to see if get true statment
obviously the first equatons of 1,2,4 work
1 doesn't work
2, works
4. doesn't work

2 is the same as the first except both euations are just doubled

answer is 2

6 0

3 years ago

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second.

Norma-Jean [14]

Answer:

Step-by-step explanation:

What is the largest of 3 consecutive integers such that the sum of the first and third is equal to three times the second?

3 consecutive angles

= x, x + 1, x + 2

We are told in the question that:

the sum of the first and third is equal to three times the second

a + c = 3b

x + x + 2 = 3(x + 1)

2x + 2 = 3x + 3

3x - 2x = 2 - 3

x = -1

The largest of the three numbers is the third number

= x + 2

x = -1

x + 2 = -1 + 2

The third and largest number is 1

4 0

2 years ago

Find the slope of the line passing through the points (-2,5) and (3/2, 2).

sveticcg [70]

Answer:

The answer is

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

<h3> $m = \frac{2 - 5}{ \frac{3}{2} + 2} \\ = - \frac{3}{ \frac{7}{2} } \\ = - 3 \div \frac{7}{2} \\ = - 3 \times \frac{2}{7}$ </h3>

We have the final answer as

Hope this helps you

8 0

3 years ago