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3 years ago

Which of the following can be added without altering any of the fractions?

Mathematics

1 answer:

Murrr4er [49]3 years ago

4 0

<h3>Answer: Choice A</h3>

Why? Because the denominators are both the same at 2x+8. We can only add or subtract fractions when the denominators are the same. The general rule for adding fractions is

$\frac{A}{C}+\frac{B}{C} = \frac{A+B}{C}$

We have numerators A and B added together over a common denominator C. If we didn't have a common denominator, then we'd have to do a bit of algebraic manipulation to get both fractions to a common denominator. It doesn't have to be the lowest common denominator (LCD), though it's often more efficient that way.

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Two trains leave stations 456 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour

love history [14]

Answer:

let x=distance 105 mph train traveled

(456-x)=distance 85 mph train traveled

Travel time = distance/speed (equal in both directions)

x/105=(456-x)/85

85x=105*456-105x

190x=105*456

x=105*456/190=252 miles

travel time=252/105=2.4 hrs

ans:

The two trains will meet in 2.4 hrs

Step-by-step explanation:

there brainliest pls

6 0

3 years ago

Evaluate: 2|x-4|+6 for x=2

Lina20 [59]

<h3>Answer:</h3>

$10$

<h3>Step-by-step explanation:</h3>

$2|x -4| +6 \text{ for } x = 2 \\ 2|2 -4| +6 \\ 2|-2| +6 \\ 2(2) +6 \\ 4 +6 \\ 10$

6 0

3 years ago

A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^

Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0

3 years ago

HELP LAST PROBLEM!

Keith_Richards [23]

Given 4 boxes of pencils cost $5,
Unknown- slope
$1.25 per box since $5/boxes
Equation y=mx+b
Substitute $1.25/per box for m
Solve y=$1.25x
The Check
$5=$1.25/per box(4 boxes)
$5=$5

3 0

3 years ago

The EPA standard for safe drinking water is a maximum of 1.3 milligrams of copper per liter of water. A water testing firm found

AnnyKZ [126]

I think the answer is no

3 0

3 years ago