All categories

3 years ago

14-12x+39x-18x=256-60x-657x

Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

Answer:

$\boxed{\bold{x=\frac{1}{3}}}$

Step-by-step explanation:

Combine Similar Elements: $\bold{-12x+39x-18x=9x}$

$\bold{14+9x=256-60x-657x}$

Combine Similar Elements: $\bold{-60x-657x=-717x}$

$\bold{14+9x=256-717x}$

Subtract 14 From Both Sides

$\bold{14+9x-14=256-717x-14}$

Simplify

$\bold{9x=-717x+242}$

Add $\bold{717x}$ To Both Sides

$\bold{9x+717x=-717x+242+717x}$

Simplify

$\bold{726x=242}$

Divide Both Sides By $\bold{726}$

$\bold{\frac{726x}{726}=\frac{242}{726}}$

Simplify

$\bold{x=\frac{1}{3}}$

You might be interested in

Julia drinks 8 cups of water per day. How many quarts of water dose she drink per day

jenyasd209 [6]

So, we need to find out how many 8 cups is converted to quarts.

1 cup = 0.25 quart

Now that we know the 1 cup equals 0.25 quarts, we can multiply how many cups by the amount of one cup.

8 (cups of water) × 0.25 (equal of one cup) = 2 quarts

Julia drinks 2 quarts of water per day.

7 0

2 years ago

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How

frosja888 [35]

You have a bucket 1 gallon big.
To mix cleaner and water you need to divide the bucket's capacity into 4.
It's easy in this case as gallon is divided into quarts (1 gallon is equal to 4 quarts).
Since one part will be a window cleaner, it means that you will need to use 1 quart of the cleaner.

5 0

2 years ago

Consider the right triangle. What is the value of x

alina1380 [7]

Answer:

X = 7

Step-by-step explanation:

180=90+4x+6+8x

84=12x

7=x

4 0

2 years ago

Read 2 more answers

1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m

Flauer [41]

1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m².

a = 51 m, b = 37 m, c = 20 m

semiperimeter: p = (51+37+20):2 = 54 m

Area of triangle:

$A=\sqrt{p(p-a)(p-b)(p-c)}\\\\A=\sqrt{54(54-51)(54-37)(54-20)}\\\\A=\sqrt{54\cdot3\cdot17\cdot34}\\\\A=\sqrt{9\cdot2\cdot3\cdot3\cdot17\cdot17\cdot2}\\\\A=3\cdot2\cdot3\cdot17\\\\A=306\,m^2$

Rate: ₹ 3 per m².

Cost: ₹ 3•306 = ₹ 918

2. Find the area of the isosceles triangle whose perimeter is 11 cm and the base is 5 cm.

a = 5 cm

a+2b = 11 cm ⇒ 2b = 6 cm ⇒ b = 3 cm

p = 11:2 = 5.5

$A=\sqrt{5.5(5.5-3)^2(5.5-5)}\\\\ A=\sqrt{5.5\cdot(2.5)^2\cdot0.5}\\\\ A=\sqrt{11\cdot0.5\cdot(2.5)^2\cdot0.5}\\\\A=0.5\cdot2.5\cdot\sqrt{11}\\\\A=1.25\sqrt{11}\,cm^2\approx4.146\,cm^2$

3. Find the area of the equilateral triangle whose each side is 8 cm.

a = b = c = 8 cm

p = (8•3):2 = 12 cm

$A=\sqrt{12(12-8)^3}\\\\ A=\sqrt{12\cdot4^3}\\\\ A=\sqrt{3\cdot4\cdot4\cdot4^2}\\\\A=4\cdot4\cdot\sqrt{3}\\\\A=16\sqrt3\ cm^2\approx27.713\ cm^2$

4. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

a = 2x

b = 3x

2x + 2•3x = 32 cm ⇒ 8x = 32 cm ⇒ x = 4 cm ⇒ a = 8 cm, b = 12 cm

p = 32:2 = 16 cm

$A=\sqrt{16(16-8)(16-12)^2}\\\\ A=\sqrt{16\cdot8\cdot4^2}\\\\ A=\sqrt{2\cdot8\cdot8\cdot4^2}\\\\ A=8\cdot4\cdot\sqrt2\\\\ A=32\sqrt2\ cm^2\approx45.2548\ cm^2$

8 0

2 years ago

Can someone plz help me

solong [7]

Answer:

16.3 N

Step-by-step explanation:

subtract if the forces are opposite

4 0

2 years ago

14-12x+39x-18x=256-60x-657x​

14-12x+39x-18x=256-60x-657x