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3 years ago

Y = 3x + 13 y = -2x - 22 substitution method show work pls someone help quick

Mathematics

1 answer:

laiz [17]3 years ago

5 0

Answer:

x = -7

Step-by-step explanation:

3x + 13 = -2x - 22

subtract 13 from both sides

3x = -2x - 35

Add 2x to both sides

5x = -35

Divide each side by 5

x = -7

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Segment RS has endpoints at R(5,-3) and S(5,13) , Point Q lies on RS such that RQ : QS = 3 : 1 . Which of the following must be

Liula [17]

Answer:

(3) Q(5,9)

Step-by-step explanation:

Let point Q has coordinates (x,y). Consider vectors $\overrightarrow{RQ}$ and $\overrightarrow{QS}.$ Note that

$\overrightarrow{RQ}=(x-5,y+3);$
$\overrightarrow{QS}=(5-x,13-y).$

Since $\dfrac{RQ}{QS}=\dfrac{3}{1},$ then

$\dfrac{\overrightarrow{RQ}}{\overrightarrow{QS}}=\dfrac{3}{1},$

Thus,

$\dfrac{x-5}{5-x}=\dfrac{3}{1}\Rightarrow x-5=3(5-x),\ x-5=15-3x,\ 4x=20,\ x=5.\\ \\\dfrac{y+3}{13-y}=\dfrac{3}{1}\Rightarrow y+3=3(13-y),\ y+3=39-3y,\ 4y=36,\ y=9.$

7 0

4 years ago

For your trouble answering this, you will get 30 points. for all the trouble this may cause.

Gennadij [26K]

Answer:

read below

Step-by-step explanation:

A1: I think D because you have a medium average mix of concentrate that will mix with only 2 more cups than itself, so this would keep it fine. A could also work sooooo.... A or D. i dont know at this point. B COULD be a possible solution but it's 5 vs 9.

A2: C

1 cup of concentrate vs 2 water.... the water will make it MUCH more of a clear color.

Question C: this is more time consuming and I am tired so for you this might be easier if you're not as tired so based on what I'm reading you need to do math for each of the 4 options above, concentrate and water mix, and then divide the total of the 2 types of cups for every option.

Hope Q1 and Q2 helped though!

7 0

3 years ago

12.48 milliliters of medicine were separated into doses of 4 mL each. how many doses were made?

ivolga24 [154]

The number of doses are $\boxed{\bf3}$ , if each dose quantity is 4 mL and total medicine is 12.48 mL.

Further explanation:

The total quantity of the medicine in millilitres is 12.48.

The quantity of one dose in millilitres is 4.

To find the number of doses possible from 12.48 millilitres quantity of medicine with each doses has 4 millilitres quantity is calculated by the use of division.

Here, dividend is the quantity of all medicine and divisor is the quantity of each doses.

Substitute, number 12.48 for dividend and number 4 for divisor then obtain the quotient by the use of division as shown below.

$\begin{aligned}4\mathop{\left){\vphantom{1{12.48}}}\right.\!\!\!\!\overline{\,\,\,\vphantom 1{{12.48}}}}\limits^{\displaystyle\hfill\,\,\, {3.12}} \hfill\\\,\,\,\,\,\,\underline{12 \downarrow }\hfill\\\,\,\,\,\,\,\,\,\,04\hfill\\\,\,\,\,\,\,\,\,\,\,\,\,\underline{4\downarrow } \hfill\\\,\,\,\,\,\,\,\,\,\,\,\,08\hfill\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline8\hfill\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\hfill\\\end{aligned}$