500 sutracts 125 is equal to?

Maya is packing her backpack for hike in one pocket she puts in 1/4 pound bag of trail mix a water bottle weighing 2 1/5 pounds

xz_007 [3.2K]

This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.

Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.

1/4 + 1/4 = 2/4

Then, add with this the fraction part of 2 1/5.

2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.

2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20

14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>

5 0

3 years ago

Can someone please help with this? I'll give brainliest. I don't understand this... or the explanation it gives... the page befo

tresset_1 [31]

Step-by-step explanation:

Hello!
I'd love to help you learn.
I see the formula attached is $4*(\frac{1}{2})^{x} =-2^{x}-1\\$

This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.

Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.

You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.

Now that we have the corresponding system of equations, we can graph both.

$y=4*(\frac{1}{2})^x\\ y=-2^x-1$
Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.

What determines the solutions of a system of equations?

-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.

-One solution: the two lines intersect once and only once, meaning that there is that one set point where the x and y values both satisfy both equations.

-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.

-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.

Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.

And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y= $\frac{1}{x}$ . When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.

5 0

2 years ago

What is (99/100)^101 times (100/99)^100?

sineoko [7]

Answer:

99/100

Step-by-step explanation:

First of all recall that

$a^n\cdot b^n =(ab)^n$

Now we we will try to apply that formula for $a=99/100$ and $b=100/99$ .

First rewrite $(99/100)^{101}=(99/100)\times (99/100)^{100}$

Now

$(99/100)\times (99/100)^{100}\times (100/99)^{100}\\=(99/100)\times ((99/100)\times (100/99))^{100}\\=(99/100)\times 1^{100}\\=(99/100)\times 1\\=99/100$

7 0

3 years ago

If x=-3, then the solution of the equation 2x+6 is ?

Vlada [557]

Hello!

if x = -3, just substitute it for x (replace the x with -3)

2(-3) + 6 = 0

2 * -3 = -6

-6 + 6 = 0

I hope this helps, and have a nice day!

6 0

3 years ago

Which of the following does not belong to the solution set of -3x + 7 < 11?

erik [133]

-3x+7<11

-3x<4

x>-4/3

So anything less than or equal to -4/3 does not belong to the solution set.

With your update:

"<span>The options is 4,-1,-5,and 0"

-5 does not belong to the solution set...</span>

7 0

3 years ago

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