MATHEMATICS HIGH SCHOOL

Solve the system of equations.5x + y = 9
3x + 2y = 4

A) (-2, 5)
B) (1, 4)
C) (2, -1)
D) (4, -4)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The given system of equations is :

$5x+y=9$ (1)

and $3x+2y=4$ (2)

Multiply equation (1) with 2 and then subtract equation (2) from it, we get

⇒ $10x+2y-3x-2y=18-4$

⇒ $7x=14$

⇒ $x=2$

Substitute the value of x=2 in equation (1), we get

⇒ $5(2)+y=9$

⇒ $10+y=9$

⇒ $y=-1$

Therefore, x=2 and y=-1. that is (2,-1).

Answer 2

Answer: you can find replcing x and y by the coordinates of the points
A : 5.-2 + 5 ≠9 not solution
B : 5.1 + 4 = 9 so 3.1 + 2.4 = 11 ≠4 not solution
C: 5.2 + = 9 so 3.2 + 2.-1 = 4 both are right then C is solution
D: 5.4 - 4 = 16 ≠ 9 not solution

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A personality test may be given to assess what? a. Individual behavior patterns
b. The capacity to acquire certain skills
c. Your ability to solve problems
d. Test actual skills, such as using word processing software

Answers

A personality test may probably be given to assess a. individual behavior patterns

Acquiring certain skills or solving problem rarely has to do with personality, while testing actual skills is not a part of one's personality.

A personality test may be given to assess individual behavior patterns. Personality tests are designed to evaluate an individual's traits, characteristics, attitudes, and emotional patterns (option a).

These tests aim to understand how a person typically thinks, feels, and behaves in different situations. They help in identifying personality traits, such as introversion or extroversion, openness, conscientiousness, agreeableness, and emotional stability. By assessing behavior patterns, personality tests provide insights into how a person interacts with others, approaches challenges, and responds to various stimuli.

It helps individuals gain self-awareness, understand their strengths and weaknesses, and identify areas for personal growth. Personality tests are commonly used in various settings, such as career counseling, team building, therapy, and research studies, to understand and predict behavior, preferences, and compatibility.

To know more about personality test:

brainly.com/question/13136786

#SPJ6

I'm stuck on both of these questions. Any answer will be better than what I got. Please include brief explanation :)

Answers

Answer:

B. $x>-17.5$

C. $x\leq-30$

Step-by-step explanation:

B.)

$(-8)/(14)x+22>32\n-8x+308>448\n-8x>140\nx>-17.5$

C.)

$0.9x+12\leq-15\n0.9x\leq-27\nx\leq-30$

Hope this helped!! <3

a rancher decreased the number of his herd from 150 head to 120 head of cattle. What was the percent of decrease in the number of cattle

Answers

Answer:answer choices?

Step-by-step explanation:

Find the last common factor of 12 and 36

Answers

Least Common factor is the smalles common factor of both
factor 12 and 36
12= 1 times 2 times 2 times 3
36=1 times 2 times 2 times 3 times 3
techically 1 is the smallest factor of any nuber, but we will sway the answer is 2

Pizza Perfection sold 93 pizzas on Monday, 67 pizzas on Tuesday, 78 pizzas on Wednesday, 44 pizzason Thursday, and 123 pizzas on Friday. On average, how many pizzas did they sell per day?
A. 82
B. 63
C. 81
D. 83

Answers

(93+67+78+44+123)/5=405/5=81 pizzas per day on average

C is your answer.

The answer is C. 81. Hope this helps.

Box A has a volume of 32 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were tripled. What is the volume of box B? a. 864 m3
b. 288 m3
c. 96 m3
d. 32 m3

Answers

The answer would be 864 m³ if the 32 volume was tripled. This is because when we are tripling the volume of the rectangle we are increasing 3 dimension, thus we will be multiplying 3 sides by the increase of which is equal to 27. Then 32 times 32 is 864 m³

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the volume of box A is 32 cubic meters.

Let dimensions of the box A are l×b×h.

It is given that the dimensions of the box B were tripled than box A. So the dimensions of the box B are 3l×3b×3h.

The volume of box A is

$V=l* b* h$