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Roman55 [17]
2 years ago
7

3/4 (x - 3) - 5 = 1/8 ( x - 1 )

Mathematics
1 answer:
KonstantinChe [14]2 years ago
3 0

Answer:

x = - \frac{57}{5}

Step-by-step explanation:

\frac{3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)

Multiply through by 8 to clear the fractions

6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side

6x - 18 - 40 = x - 1

6x - 58 = x - 1 ( subtract x from both sides )

5x - 58 = - 1 ( add 58 to both sides )

5x = - 57 ( divide both sides by 5 )

x = - \frac{57}{5}

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Solve the system algebraically. Check your work.
Luden [163]

answer.

Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

5x+2y=105x+2y=10     (1)

And 3x+2y=63x+2y=6      (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

15x+6y=3015x+6y=30      (3)

15x+10y=3015x+10y=30      (4)

Now subtract  (4) from (3) we get:

-4y=0−4y=0

y=0y=0

Now, put y=0 in (1) equation:

5x+2(0)=105x+2(0)=10

5x=105x=10

x=2x=2

Hence, x=2 and y=0

8 0
3 years ago
Can anyone please help!!!
quester [9]

Answer:

Question 9

(a) The distance, Jalaj walks in one day is 4.4 km

(b) The amount Jalaj raises after walking for 22 km at the end of the 5 days is $8

Question 10

(b) The difference between the largest and smallest areas is 2,400 m²

Step-by-step explanation:

Question 9

(a) The distance Jalaj walks in 5 days = 22 km

Whereby Jalaj walks equal distance every day, we have;

The distance, Jalaj walks in one day = 22 km/5 days = 4.4 km/day

The distance, Jalaj walks in one day = 4.4 km

(b) The amount he raises for every kilometer he walks = $1.60

The amount he raises after walking for 22 km at the end of the 5 days = 5 × $1.60  = $8

Question 10

(b) The given side length of the square = 120 meters to the nearest 10 meters

Therefore;

The maximum dimension for the side length of the square = 120 + 10/2 = 125

The largest possible area of the square, A_l = 125 m × 125 m = 15,625 m²

The minimum dimension for the side length of the square = 120 m - 10 m/2 = 115 m

The smallest possible area of the square, A_s = 115 m × 115 m = 13,225 m².

The difference between the largest and smallest areas, A_l - A_s = 15,625 - 13,225 = 2,400 m².

8 0
2 years ago
What is another way to write this number?<br><br> 300 + 70 + 5 + 8<br> 300 + 70 +<br> 10<br> 100
ololo11 [35]

Answer:

Combine the terms

300 + 70 = 370

5/10 + 8/100

Note that first, you must find common denominators. What you multiply to the denominator, you multiply to the numerator. Multiply 10 to the numerator and denominator of 5/10

(5/10)(10/10) = 50/100

50/100 + 8/100

Combine the terms

50/100 + 8/100 = 58/100

370 58/100 is another way to write it

5 0
2 years ago
Read 2 more answers
Evaluate.
aleksandrvk [35]

Answer: -2 4/15

Step-by-step explanation: To properly subtract, we need to find a common denominator. We can list the multiples of 3 and 5 to find the common denominator:

3: 3, 6, 9, 12, 15

5: 5, 10, 15


The first common multiple we see is 15.

Calculation:

3 · 3 = 9

9 + 1 = 10

3 1/3 = 10/3

5 x 5 = 25

25 + 3 = 28

-5 3/5 = -28/5

Now to convert into fifteen as the denominator:

-28/5 = -28 x 3/5 x 3 = -84/15

10/3 = 10 x 5/3 x 5 = 50/15

Now to subtract accordingly:

50/15 - 84/15 = -34/15

Final answer: -34/15 (can be reduced to -2 4/15).

3 0
1 year ago
How to write 1000= in Exponential form
Nadusha1986 [10]

Answer:

10x^{3}[/tex]

Step-by-step explanation:

10x^{3}

=10·10·10

=1000

5 0
3 years ago
Read 2 more answers
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