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2 years ago

5x-(x-2)=2/3(9x+3)+1 solve the linear equation for x?

Mathematics

1 answer:

matrenka [14]2 years ago

8 0

Step-by-step explanation:

5x - (x - 2) = 2/3 × (9x + 3) + 1

5x - x + 2 = 6x + 2 + 1

4x = 6x + 1

0 = 2x + 1

-1 = 2x

x = -1/2 = -0.5

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The legs of a right triangle are 3 units and 10 units what is the length of the hypotenuse ? Round your answer to the nearest hu

sesenic [268]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 10^2 = c^2

9 + 100 = c^2

109 = c^2

take the square root of both sides

10.44 = c

7 0

3 years ago

So i need help with the question below.

Shkiper50 [21]

Answer:

Option (1)

Step-by-step explanation:

Option (1)

$3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}$

$3\frac{3}{9}+7\frac{6}{11}$ $=3+\frac{3}{9}+7+\frac{6}{11}$

$=(3+7)+(\frac{3}{9}+\frac{6}{11})$

$=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})$

$=10+(\frac{33}{99}+\frac{54}{99})$

$=10+\frac{87}{99}$

$=10\frac{87}{99}$

True.

Option (2)

$2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}$

$2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}$

$=(2+6)+(\frac{3}{8}+\frac{4}{5})$

$=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})$

$=8+(\frac{15}{40}+\frac{32}{40})$

$=8+\frac{47}{40}$

$=8+\frac{40}{40}+\frac{7}{40}$

$=8+1+\frac{7}{40}$

$=9+\frac{7}{40}$

$=9\frac{7}{40}$

False.

Option(3)

$3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}$

$3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})$

$=(3+4)+(\frac{3}{7}+\frac{2}{3})$

$=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})$

$=7+(\frac{9}{21}+\frac{14}{21})$

$=7+(\frac{23}{21})$

$=7+(\frac{21}{21}+\frac{2}{21})$

$=8+\frac{1}{21}$

$=8\frac{1}{21}$

False.

Option (4)

$4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}$

$4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}$

$=(4+5)+(\frac{5}{6}+\frac{5}{7})$

$=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})$

$=9+(\frac{35}{42}+\frac{30}{42})$

$=9+\frac{65}{42}$

$=9+(\frac{42}{42}+\frac{23}{42})$

$=9+1+\frac{23}{42}$

$=10\frac{23}{42}$

False.

Therefore, Option (1) is the answer.

8 0

3 years ago

I NEED HELP PLS I WILL GIVE CROWN: Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of

katrin2010 [14]

Answer:

Mr. Crow dimension of the lawn = 85 × 40

Area of the lawn = 3250 square feet

Step-by-step explanation:

Let x represents the width of the rectangle,

Then According to the question,

The length of the rectangle = 2 x + 5

Also it is given that the perimeter of the rectangle = 250 feet.

But we know that the perimeter of the rectangle = 2 × ( length + width)

Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10

If x = 30, the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250

Thus, x ≠ 10.

If x = 50, the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250

Thus, x ≠ 50

If x = 40, the the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250

Thus, x = 40

Therefore, the width of the rectangle, x = 40 feet.

And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.

1) The dimension of the rectangle = 85 × 40

2)The area of the rectangle = length × width = 85 × 40 = 3250 square feet.Let x represents the width of the rectangle,

Then According to the question,

The length of the rectangle = 2 x + 5

Also it is given that the perimeter of the rectangle = 250 feet.

But we know that the perimeter of the rectangle = 2 × ( length + width)

Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10

If x = 30, the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250

Thus, x ≠ 10.

If x = 50, the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250

Thus, x ≠ 50

If x = 40, the the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250

Thus, x = 40

Therefore, the width of the rectangle, x = 40 feet.

And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.

1) The dimension of the rectangle = 85 × 40

2)The area of the rectangle = length × width = 85 × 40 = 3250 square feet.

8 0

3 years ago

You are hiking along the California coast and wonder about the height of a particular Giant Redwood tree. You are 5

yulyashka [42]

Answer:

172.5

Step-by-step explanation:

Use similar triangles and a proportion.

(tree height)/(tree shadow length) = (your height)/(your shadow length)

x/(270 ft)= (5 ft 9 in.)/(9 ft)

x/(270 ft)= (5 ft + 9/12 ft)/(9 ft)

x/(270 ft)= (5.75 ft)/(9 ft)

9x = 270 * 5.75 ft

x = 30 * 5.75 ft

x = 172.5 ft

5 0

3 years ago

An equation that involves a number raised to a variable power.

Scorpion4ik [409]

Answer:6-8^10=?

Step-by-step explanation:

3 0

3 years ago

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