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3 years ago

3/5 (10+5x)−1/3(6x+3)=9 ok answer fast

Mathematics

1 answer:

Anton [14]3 years ago

6 0

Answer: x = 4

Step-by-step explanation:

$\dfrac{3}{5}(10 + 5x) - \dfrac{1}{3}(6x + 3)=9$

$\dfrac{3}{5}(10 + 5x)(15) - \dfrac{1}{3}(6x + 3)(15)=9(15)$ multiplied by common denominator

3(10 + 5x)(3) - 1(6x + 3)(5) = 9(15) reduced all fractions

90 + 45x - 30x - 15 = 135 distributed

15x + 75 = 135 simplified (added like terms)

15x = 60 subtracted 75 from both sides

x = 4 divided 15 from both sides

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Step-by-step explanation:

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2 years ago

Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x^2 + 4x = - 5 has.

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2 years ago

Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).

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Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

$\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}$

Using the section formula expressed as

$[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]$

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where

$\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}$

Thus, by substitution, we have

$\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}$

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$0$

8 0

1 year ago

Katie has a coin collection she keeps 7 of the coing in the box which is only 14% of her entire collection. What is the total nu

mr Goodwill [35]

Answer:

x= 50

Step-by-step explanation:

7/x = 14/100

14x = 700

x = 50

the reason behind my calculations were to get the same ratios and because they gave us percentage and the actual number, we can set them; 14 percent 14/100, however, the 7/x is because we don't know the 100 percent of the coins which is what we look for. Therefore, you cross multiply and get x.

I hope this helped

3 0

3 years ago

Read 2 more answers

What is 8 - 5 3/16 I gotta know

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

45/16

3 0

3 years ago