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3 years ago

Fractional Equations Help with steps

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

(e)

$\frac{2x-1}{3}$ - $\frac{3x-1}{4}$ = 1

Multiply through by 12 to clear the fractions

4(2x - 1) - 3(3x - 1) = 12 ← distribute parenthesis and simplify

8x - 4 - 9x + 3 = 12

- x - 1 = 12 ( add 1 to both sides )

- x = 13 ( multiply both sides by - 1 )

x = - 13

---------------------------------------------------------------

(f)

$\frac{3m}{4}$ - 5 = 24 ( add 5 to both sides )

$\frac{3m}{4}$ = 29 ( multiply both sides by 4 )

3m = 116 ( divide both sides by 3 )

m = $\frac{116}{3}$

--------------------------------------------------------------

(g)

$\frac{5(y+2)}{2}$ - $\frac{4(y+1)}{3}$ = 3

Multiply through by 6 to clear the fractions

15(y + 2) - 8(y + 1) = 18 ← distribute parenthesis and simplify

15y + 30 - 8y - 8 = 18

7y + 22 = 18 ( subtract 22 from both sides )

7y = - 4 ( divide both sides by 7 )

y = - $\frac{4}{7}$

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Answer:

Step-by-step explanation:

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Rewrite the equation. So let's do that-

2.5(6*4)/6

6 and the other 6 cancel out so we are left with 2.5*4

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3 years ago

What is 1 divided by 1/4?

Lelu [443]

Answer: 4

Step-by-step explanation:

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3 years ago

Read 2 more answers

huma has 4 bags of square inch tiles with 6 in each bag she uses them to meaure the area of a rectangle on her homework. ahter c

poizon [28]

Answer:

20 square inches

Step-by-step explanation:

No. of bags Huma has : 4

No. of tiles in one bag: 6

Total no . of tiles in 4 bag = 4 * No. of tiles in one bag

= 4*6 = 24

No of tiles left with huma = 4

Let x be the no of tiles used to cover rectangle

Hence,

sum of no. of tiles left with huma and no of tiles used to cover rectangle should be equal to Total no . of tiles in 4 bag

mathematically

no. of tiles left with huma(4) + no of tiles used to cover rectangle (x) = Total no . of tiles in 4 bag (24)

4 + x = 24

subtracting 4 from both sides

4 + x -4 = 24 - 4

=> x = 20

Thus, 20 square inches tiles are used to cover the rectangle.

This means that area of rectangle is 20 square inches .

6 0

3 years ago

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.

Step2247 [10]

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

$m\angle O+m\angle P+m\angle Q=180^\circ$ [Angle sum property]

$26^\circ+m\angle P+90^\circ=180^\circ$

$m\angle P+116^\circ=180^\circ$

$m\angle P=180^\circ -116^\circ$

$m\angle P=64^\circ$

According to Law of Sines, we get

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using the Law of Sines, we get

$\dfrac{p}{\sin P}=\dfrac{o}{\sin O}$

$\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}$

Substituting the given values, we get

$\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}$

$\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}$

$\dfrac{4.9}{0.89879}\times 0.43837=PQ$

$2.38989=PQ$

Approximate the value to the nearest tenth of a foot.

$PQ\approx 2.4$

Therefore, the length of PQ is 2.4 ft.

4 0

3 years ago