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natulia [17]
3 years ago
13

Use a system of equations to solve this problem.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0
We have to set up 2 equations:
A) x + y = 10 liters
B) .05x + .25y = 10 * .10

Multiply equation B) by -4
B) -.2x  - y = -4 then add to equation A)
A) x + y = 10 liters
.8x = 6 liters
x = 7.5 liters of 5%
y = 2.5 liters of 25%

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z scores are useful because they:a. allow us to convert raw scores to mean scores, compare scores from different samples, and tr
Alla [95]

Answer:

they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.

Step-by-step explanation:

3 0
3 years ago
Weegy if one angle of a rhombus is 35 what are the remaining three angles
Assoli18 [71]
Rhombus, <span>opposite angles are congruent
One angle is 35 so the opposite angle will be 35 also.

Sum of interior angles in a rhombus equal 360

360 - 35 - 35 = 290

290/2 = 145 (The other two angles will be congruent)

Answer:
The remaining three angles will be 35</span>°<span>, 145</span>°<span>, 145</span>°<span>


</span>
7 0
3 years ago
If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations
V125BC [204]

Answer:

3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}

Step-by-step explanation

  • A=\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix}\: and \: B=\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}

  • \rightarrow 3A=3\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix},\:  \: 9B =9\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}

  • \rightarrow 3A=\begin{bmatrix} 3*6 & 3*6 & 3*4\\\\3*7 & 3(-4) & 3*4\\\\ 3(-6) & 3*9 & 3(-3)\end{bmatrix},\:\: 9B =\begin{bmatrix}9*1 &9* 5 &9( -8)\\\\ 9*9 & 9(-5) & 9(-8)\\\\ 9*9 & 9(-5) & 9*2\end{bmatrix}

  • \rightarrow 3A=\begin{bmatrix} 18 & 18 & 12 \\\\ 21 & -12 & 12\\\\ -18 & 27 & -9\end{bmatrix},\:\: 9B =\begin{bmatrix} 9 & 45 & -72 \\\\ 81 & -45 & -72\\\\ 81 & -45 & 18\end{bmatrix}

  • \rightarrow 3A+9B=\begin{bmatrix}18+9 & 18+45 & 12+(-72) \\\\ 21+81 & -12 +(-45) & 12+(-72)\\\\ -18+81 & 27+(-45) & -9+18 \end{bmatrix}

  • \rightarrow 3A+9B=\begin{bmatrix} 18+9 & 18+45 & 12-72 \\\\ 21+81 & -12 -45 & 12-72\\\\ -18+81 & 27-45 & -9+18 \end{bmatrix}

  • \rightarrow \purple{\bold{3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}}}
6 0
2 years ago
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
satela [25.4K]

Step-by-step explanation:

x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}  \\ x =  \frac{ - 5 +  -   \sqrt{ {5}^{2} - 4(5) } }{2}  \\ x =  \frac{ - 5 +  -  \sqrt{25 - 20} }{2}  \\ x =  \frac{ - 5 +  -  \sqrt{5} }{2}

Therefore, the zeroes would be:

x1 =  \frac{ - 5 +  \sqrt{5} }{2}  \\ x2 =  \frac{ - 5 -  \sqrt{5} }{2}

8 0
3 years ago
Three words that are synonyms to roots
grigory [225]

Answer:

Essence

Stem

Seed

Step-by-step explanation:

4 0
3 years ago
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