What is the solution to the system of equations? 5x+4y=8 x-2y=10

Answers

Answer 1

Answer: $\left \{ {{5x+4y=8} \atop {x-2y=10\ |\cdot2}} \right. \n\n \left \{ {{5x+4y=8} \atop {2x-4y=20}} \right. \n+-----\n\n7x=28\ \ \ \ |:7\nx=4\n\n4-2y=10\n-2y=10-4\n-2y=6\ \ \ \ \ |:-2\ny=-3\n\n \left \{ {{y=3} \atop {x=4}} \right.$

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Round 3.2 to the nearest whole number

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3.2 rounded to the nearest whole number is 3

50 points decreased by 26% is points.

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$50*(26)/(100)\n\n=(50*26)/(100)\n\n=(1300)/(100)\n\n=13\n\n50-13={\boxed{ \bf 37}}$

50 points decreased by 26% is 37 points.

$50*(26)/(100)\n\n= 50 * 0.26\n\n=13\n\n 50-13={\boxed{ \bf 37}}$

50 points decreased by 26% is 37 points.

First off lets find 26% of 50.

26 / 100 * 50 = 13.

Since we are decreasing, we subtract this value from 50 points.

= 50 - 13 = 37 points.

OR

Since we are decreasing we say 100% - 26% = 74%.

We now perform 74% of 50 = 74/100 * 50 = 37.

Either method is correct, and we arrive at the same answer.

So it is 37 points.

What is the lest common multiple of 14 and 21?

Answers

42.

There's a trick to finding this easily. Take the prime factors of both numbers.

14 = 7 × 2
21 = 7 × 3

Now, multiply the unlike numbers.

2 × 3 = 6

Multiply the 6 by one of the like numbers.

6 × 7 = 42.

That's it. Hope this helps!

Least common multiple is the smallest number is a multiple of both numbers. First the numbers should be factored into its primes.
14 = 7 X 2
21 = 7 X 3
The least common multiple will be 7 X 2 X 3 = 42

12x-39greater than 9 and -4x+3<-6

Answers

Answer:

Step-by-step explanation:

When you have an inequality like this, you can treat it like an equation except for one part. If you ever divide or multiply it by a negative number or variable you have to flip the inequality. if it is equal to as well you keep that though. for instance

-5x ≤ 10

x ≥ -2

Anyway, in your case you have two inequalities, so you have to solve both and see what makes both true.

We'll start with 12x - 39 ≤ 9

12x - 39 ≤ 9 First add 39 to both sides

12x ≤ 48 Now divide both sides by 12, positive so no flipping

x ≤ 4

Next is:

-4x + 3 < -6 First subtract 3 from both sides

-4x < -9 Now divide both sides by -4, which means the sign flips

x > 9/4

Now, without even looking at the answers, what number or numbers are less than or equal to 4 and greater than 9/4? Well we pretty much described it there. All numbers starting from, though not including 9/4, which is 2.25, all the way up to, and including 4. B shows exactly that.

Final answer:

To solve the inequalities, the first is simplified to x > 4 and the second to x > 2.25 after applying proper arithmetic operations and considering the signs during division.

Explanation:

The student's question involves solving two inequalities, one of which is a linear inequality, and the other an inequality that requires adding or subtracting to isolate the variable. To solve the inequality 12x - 39 > 9, we add 39 to both sides to get 12x > 48, then divide both sides by 12 to find that x > 4. For the inequality -4x + 3 < -6, we subtract 3 from both sides to get -4x < -9, then divide by -4, remembering that dividing by a negative number reverses the inequality, resulting in x > 9/4 or x > 2.25.

Learn more about Solving inequalities here:

brainly.com/question/26855203

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3 classmates share 2 granola bars equally. How much does each classmate get?

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each would get 2/3 of a gondola bar.

Select all of the following that are quadratic functions. x = 3y2 – 6y + 5, y + 3 = –2 x 2+ 5 , y = 2 x 2 – 8 x + 6, y= –7 x – 4, y – 3 x = 4 x 3 – x2 + 9, y = 5 x(x + 9) – 8, y – 2 x 2 = 3 x – 2 x 2 + 4

Answers

The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable and if the highest power in the quation is 2 then it is a quadratic equation.

$x = 3y^(2)-6y + 5$ ----> Quadratic Equation