MATHEMATICS HIGH SCHOOL

4. Which cannot describe a system of linear equations?A) no solution
B) exactly two solution
C) infinite solutions
D) exactly one solution

Answers

Answer 1

Answer:

A system of linear equation can have no solutions , many solutions or exactly one solution .

Let's check out example of each.

$No \ Solution\nx+y =2\nx+y=4$

$Many \ solutionsx+y =2\n2x+2y=4$ $Exactly \ one \ solution\nx+y =2\nx-y=4$

So all of these describes a system of linear equations except two solutions.

So the correct option is B

Answer 2

Answer:

Final answer:

In a system of linear equations, the lines represented by the equations can either intersect at a single point, don't intersect at all, or coincide entirely. However, they can't intersect at exactly two different points. Hence, the system of linear equations cannot have 'Exactly two solutions'.

Explanation:

In mathematics, specifically in the study of linear equations, there are various possibilities for the number of solutions a system of linear equations can have. These include having no solution (when the lines are parallel and never intersect), exactly one solution (when the lines intersect at one point), or infinite solutions (when the two lines coincide).

Among the provided options, the one that cannot describe a system of linear equations is 'Exactly two solutions'. A system of linear equations cannot have exactly two solutions. It is because the lines representing the equations can either intersect at a single point, don't intersect at all, or coincide, mimicking each other entirely. But it is impossible for them to intersect at exactly two different points.

Learn more about System of Linear Equations here:

brainly.com/question/33609849

#SPJ6

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Mrs. Simpson's class has 10 girls and 15 boys. What is the ratio of girls to boys?

Answers

Answer:

5:3

Step-by-step explanation:

this is because 15:10 can be divided by 5 on each side

Answer:

2:3

Step-by-step explanation:

Girls:Boys = 10:15
Simplify: 10:15 = 2:3

I hope this helps!

When you divide a number by 1/2, the result is A) half the original number.
B) twice the original number.
C) 50% of the original number.
D) 100% of the original number.

Answers

Let us analyze the following situation: The number we want to divide by 1/2 is X. We can write:
X/(1/2)=(X/1)/(1/2)=(X*2)/(1*1)= X*2,
which means that the number that is divided with 1/2 is multiplied by 2 (twice the original number).
When you divide a number by 1/2, the result is twice the original number . Answer:B

When you divide a number by 1/2, the result is twice the original number . Answer:B

Simplify 3 1/5 + 4/16

Help asap!!!

Answers

Answer:

3 1/5 = 16/5

4/16 = 1/4

simply and find a common denominator, in this case it is 20. Multiply the top and bottom by the same number, to get the bottom to twenty. So, to get 5 to 20, you must multiply by 4, so you have to multiply the top by 4 too, which is 64. Do the same for the next fraction.

16/5 = 64/ 20 (both x4)

1/4 = 5/20 (both x5)

now add

64/20 + 5/20 = 69/20

69/20 is the final answer because it cannot be simplified futher.

Answer:

Step-by-step explanation:

3 1/5 + 1/4

3 4/20 + 5/20

3 9/20

What is 1/2 of a liter in mL?