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3 years ago

Solve for x 2(x+5)-7=3(x-2)

Mathematics

2 answers:

frozen [14]3 years ago

7 0

Answer:

x=9

Step-by-step explanation:

2(x+5)-7=3(x-2)

distribute the 2 and 3 which gives you

2x+10-7=3x-6

combine like terms

2x+3=3x-6

move the 2x to the other side by subtracting which gives you

3=x-6

add 6 to the other side which gives you

9=x

andriy [413]3 years ago

5 0

x=9

I'm sorry if I'm wrong

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Usimov [2.4K]

Question:

What is the common denominator of $y+\frac{y-3}{3}$ in the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

A) $3 y(y-3)$

B) $y(y-3)$

C) $3y$

D) $3$

Answer:

Option D : 3 is the common denominator

Explanation:

It is given that the complex fraction $\frac{y+\frac{y-3}{3}}{\frac{5}{y}+\frac{2}{3 y}}$

We need to determine the common denominator of $y+\frac{y-3}{3}$ from the complex fraction.

Let us consider the fraction $y+\frac{y-3}{3}$

To find the common denominator, let us take LCM.

Thus, rewriting the above fraction as,

$\frac{y}{1} +\frac{y-3}{3}$$

The LCM can be determined by multiplying the denominators.

Thus, we get,

$1\times3=3$

Thus, the common denominator is 3.

Hence, Option D is the correct answer.

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3 years ago

A guide wire of length 108 meters runs from the top of an antenna to the ground. If the angle of elevation to the top of the ant

netineya [11]

Answer: Approximately 72.69 meters

Step-by-step explanation:

Antenna height = h

$sin(42.3)=\frac{opposite}{hypotenuse} =\frac{h}{108} \\\\108*sin(42.3)=h\\\\h=72.685$

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3 years ago

Jazelle Momba wants to visit her family in Zimbabwe in 2025, which is 6 years from now. She knows that it will cost approximatel

Ludmilka [50]

9514 1404 393

Answer:

$6307.95

Step-by-step explanation:

The compound interest formula can help with that.

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2 years ago

F(x)=x^2 what is g(x)

Triss [41]

Answer: D

Step-by-step explanation:

Sometimes, it is hard to see which function fits g(x). We are given the point (4,1). Luckily, the point lies on g(x). We can plug in (4,1) into the g(x) equations and see which best fits.

A. Incorrect

$1=4(4)^2$

$1=4(16)$

$1\neq 64$

B. Incorrect

$1=\frac{1}{4} (4)^2$

$1=\frac{1}{4} (16)$

$1\neq 4$

C. Incorrect

$1=(\frac{1}{2}(4))^2$

$1=(2)^2$

$1\neq 4$

D. Correct

$1=(\frac{1}{4}(4))^2$

$1=(1)^2$

$1=1$

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3 years ago

If the angle of elevation to a pole is 67 degrees and the wire is attached to the ground at a point 137 feet from the base of th

Dmitrij [34]

Tan67=h/137

h=137tan67

h≈322.751 ft

h≈322.75 ft (to nearest hundredth of a foot)

6 0

3 years ago