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3 years ago

Subtract.

Mathematics

2 answers:

notka56 [123]3 years ago

6 0

-2 4/7 is your answer

Karo-lina-s [1.5K]3 years ago

3 0

Answer: The required simplified mixed number is $-2\dfrac{4}{7}$

Step-by-step explanation:

Since we have given that

$-3\dfrac{2}{7}-(-\dfrac{5}{7})$

We need to solve this.

First we change the mixed fraction into improper fraction.

$3\dfrac{2}{7}=\dfrac{23}{7}$

So, it becomes,

$-\dfrac{23}{7}+\dfrac{5}{7}\\\\=\dfrac{-23+5}{7}\\\\=\dfrac{-18}{7}\\\\=-2\dfrac{4}{7}$

Hence, the required simplified mixed number is $-2\dfrac{4}{7}$

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there is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200ml of 4.5% acid

disa [49]

Below are the choices:

A. 80 mL of the 3.5% solution and 120 mL of the 6% solution

<span>B. 120 mL of the 3.5% solution and 80 mL of the 6% solution </span>

<span>C. 140 mL of the 3.5% solution and 60 mL of the 6% solution </span>

<span>D. 120 mL of the 3.5% solution and 80 mL of the 6% solution
</span>
Let fraction of 3.5% in final solution be p.

<span>p * 3.5 + (1 - p) * 6 = 4.5 </span>

<span>3.5p + 6 - 6p = 4.5 </span>

<span>2.5p = 1.5 </span>

<span>p = 3/5 </span>

<span>3/5 * 200 = 120 </span>

<span>Therefore the answer is B. 120 ml of 3.5% and 80 ml of 6%.</span>

6 0

3 years ago

Help me with B please

salantis [7]

Area of each piece of paper is $8\frac{1}{2}\times11=\frac{17}{2}\times11=\frac{187}{2}$

Greatest number of possible piece of paper is $[1000\div\frac{187}{2}]=[1000\times\frac{2}{187}]=[\frac{2000}{187}]=10$

4 0

3 years ago

Screen-printing a batch of shirts requires 3 minutes per shirt in addition to 12 minutes of initial set-up time. If it takes 45

Furkat [3]

Answer:

11 shirts

Step-by-step explanation:

Since 12 of the 45 minute are devoted to setup, the actual printing time is 33 minutes. At 3 minutes per shirt, that's enough time for ...

(33 min)/(3 min/shirt) = 11 shirts

A batch consists of 11 shirts.

_____

<em>Alternate solution</em>

Another way to consider this is to realize that the setup time is the time required to print 4 shirts. 45 minutes would be enough time to print 45/3 = 15 shirts, but the time for 4 shirts is spent setting up. That leaves the batch size at 15 -4 = 11 shirts.

4 0

3 years ago

Find the vertex of this parabola:<br> y = -x2 - 4x - 2

VikaD [51]

<h3>Hello!</h3>

$===============================$

In order to find the vertex of a parabola, we use the following formula:

$\bold{\displaystyle\frac{-b}{2a} }}$

Remember, a parabola looks like so:

$\tt{y=ax^2+bx+c}$

Now we know what a and b stand for.

In this case, b is -4, and a is -1:

$\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}$

Simplify:

$\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}$

Divide:

$\hookrightarrow\sf{-2}$

$===================================$

<h3>Notes:</h3>

Hope everything is clear.
Let me know if you have any questions!
Enjoy your day!
Always remember: Knowledge is power!

<h3>Answered by:</h3>

$\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}$

3 0

3 years ago

Solving systems of linear equations by graphing 2x+3y=-12 and 10x+3y=12

Artyom0805 [142]

Answer:

(x, y) = (3, -6)

Step-by-step explanation:

I like a good graphing calculator for solving systems of equations by graphing.

If you're solving these by hand, you need to graph the equations. It can be convenient to put the equations into "intercept form" so you can use the x- and y-intercepts to draw your graph.

That form is ...

x/(x-intercept) +y/(y-intercept) = 1

Dividing a standard-form equation by the constant on the right will put it in this form.

x/(-12/2) +y/(-12/3) = 1 . . . . . . divide the first equation by -12

x/(-6) +y/(-4) = 1 . . . . . . . . . . . the x-intercept is -6; the y-intercept is -4

x/(12/10) +y/(12/3) = 1 . . . . . . divide the second equation by 12

x/1.2 +y/4 = 1 . . . . . . . . . . . . . the x-intercept is 1.2*; the y-intercept is 4

The locations of these intercepts and the slopes of the lines tell you that the solution will be in the fourth quadrant. The lines intersect at (x, y) = (3, -6).

_____

* It can be difficult to draw an accurate graph using an intercept point that is not on a grid line. It may be desirable to put the second equation into slope-intercept form, so you can see the rise/run values that let you choose grid points on the line. That equation is y =-10/3x +4. A "rise" of -10 for a "run" of +3 will get you to (3, -6) starting from the y-intercept of (0, 4).

4 0

3 years ago