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Fittoniya [83]
3 years ago
6

The equation 3/4 [x-1]=[-3] is equivalent to?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0

Answer: x= (-3)

Step-by-step explanation:

3/4 [x-1] = [-3]

(x-1) = (-3) × 4/3

X-1 = -4

X= -3

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the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age
Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = \frac{x}{2}

2 years more than half of April's age = \frac{x}{2}+2

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$\Rightarrow \ \ x+(\frac{x}{2}+2) =23

$\Rightarrow \ \ x+\frac{x}{2}+2 =23

$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23

$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23

Denominators are same, now add the fractions.

$\Rightarrow \ \ \frac{2x+x+4}{2} =23

Do cross multiplication.

$\Rightarrow \ \ 2x+x+4=23\times2

$\Rightarrow \ \ 3x=46-4

$\Rightarrow \ \ 3x=42

$\Rightarrow \ \ x=14

Aprils's age = 14 years

Laura's age = \frac{14}{2}+2

                    = 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0
3 years ago
What is StartFraction 4 Over 5 EndFraction divided by one-third A fraction bar. The top bar is labeled 1. 3 bars underneath the
Vladimir79 [104]

Answer:

2 2/5

Step-by-step explanation:

Given 4/5÷1/3

Multiply 4/5 with the reciprocal of 1/3 as shown;

= 4/5 × 1/(1/3)

= 4/5 × 3/1

= 12/5

= 2 2/5

The quotient is 2 2/5

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How is the graph of y = csc(x – 6) transformed from its parent function?
dexar [7]
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6 0
3 years ago
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Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units. What is AF? 11 units 15 units 43 units 51
jek_recluse [69]

see the attached figure to better understand the problem

we know that

The point G is where all medians intersect and is often described as the triangle's center of gravity or centroid. It is formed by the intersection of the medians. The centroid divides each median in a ratio of \frac{2}{1}

so

\frac{AG}{GF}   =\frac{2}{1}  \\\\ \frac{5x+4}{3x-1}=\frac{2}{1}\\ \\ (3x-1)*2=5x+4\\ \\  6x-2=5x+4 \\\\ 6x-5x= 4+2\\\\ x=6\ units

<u>Find the value of FA</u>

FA=(5x+4)+(3x-1)\\ \\FA=8x+3\\ \\FA=8*6+3\\ \\FA=51 units

therefore

<u>the answer is </u>

51 units



8 0
3 years ago
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