MATHEMATICS HIGH SCHOOL

The difference of six times a number and seven results in 35.Identify the steps necessary to solve the equation.

Add 7, and then divide by 6.

Divide by 6, and then add 7.

Subtract 7, and then divide by 6.

Divide by 6, and then subtract 7.

Which one is the answer?

Answers

Answer 1

Answer:

Answer:

Add 7, and then divided by 6

Step-by-step explanation:

Let x be the number

We have to identify the steps necessary to solve the equation.

According the question

$6x-7=35$

Adding 7 on both sides then we get

$6x-7+7=35+7$

$6x=42$

Divided by 6 on both sides then, we get

$(6x)/(6)=(42)/(6)$

$x=7$

Answer:Add 7, and then divided by 6

Answer 2

Answer: 6x - 7 = 35
6x = 35 + 7 (add 7 and then divide by 6)
6x = 42
x = 42/6
x = 7

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Answer:

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Step-by-step explanation:

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4)The temperature dropped 3 degrees every hour for 3 hours. Write an expression and write an
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Answers

Answer:

I think the integer that represents the change in temperature is -15.

Final answer:

The expression representing the temperature change is 3 * -3, and the total temperature change, calculated from this, is -9 degrees.

Explanation:

In this problem, we are given that the temperature dropped 3 degrees every hour for a total of 3 hours. To find the total temperature change, we must multiply the number of hours by the change in temperature every hour. So, the expression to represent this situation is 3 * -3.

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Simplify. 2.18 x 10 to the power of 4

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Answers

Answer:

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Step-by-step explanation:

In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C

Answers

In a right triangle, we know that we have one angle that is 90 degrees. In order to calculate the length of the adjacent side we have to use the cosine function of angle C which will give us the adjacent side length. The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.66 inches.

The approximate length of the side adjacent to angle $C$ is $\boxed{{\mathbf{7}}{\mathbf{.66 inches}}}$ .

Further explanation:

The cosine ratio can be expressed as,

$\cos\theta=\frac{{{\text{base}}}}{{{\text{hypotenuse}}}}$

Here, base is the length of the side adjacent to angle $\theta$ and hypotenuse id the longest side of the right angle triangle.

The length of side opposite to angle $\theta$ is perpendicular that is used for the sine ratio.

Step by step explanation:

Step 1:

The observed right angle from the given information is attached.

First determine the hypotenuse and the base of the triangle.

The side $BC$ is adjacent to angle $C$ and the side $AC$ is the hypotenuse of $\Delta ABC$ .

Therefore, the ${\text{base}}=BC$ and ${\text{hypotenuse}}=10$ .

Step 2:

Since, the cosine ratio is $\cos\theta=\frac{{{\text{base}}}}{{{\text{hypotenuse}}}}$ .

Now substitute the value ${\text{base}}=BC$ and ${\text{hypotenuse}}=10$ in the cosine ratio.

$\begin{aligned}\cos C&=\frac{{BC}}{{10}}\n{\text{co}}s40&=\frac{{BC}}{{10}}\n0.766&=\frac{{BC}}{{10}}\nBC&=7.66\n\end{aligned}$

Therefore, the approximate length of the side adjacent to angle $C$ is $7.66{\text{ inches}}$ .

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Trigonometry

Keywords: Distance, Pythagoras theorem, base, perpendicular, hypotenuse, right angle triangle, units, squares, sum, cosine ratio, adjacent side to angle, opposite side to angle.

How many solutions does this system of equations have y=5x-4and y=5x+2 1.infinitely many 2. 0 3. 1 4. 2