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2 years ago

Evaluate the expression. 4x−5 for x=10 Enter the correct answer in the box.

Mathematics

1 answer:

vampirchik [111]2 years ago

6 0

Step-by-step explanation:

Substitute the given value of x into the expression;

$4(10)-5$

Multiply;

$40-5$

Subtract;

$35$

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Dalton filled 5 jars using a total of 6 2/3 cups of coffee syrup. How many cups of syrup are in each jar?

Alja [10]

Answer:

1 1/3 cups of syrup per jar

Step-by-step explanation:

6 2/3 divided by 5 = 20/3 x 1/5 = 20/15 = 1 1/3 cups of syrup per jar

7 0

3 years ago

Solve for x. -3x + 2c = -3

Andrei [34K]

Answer:

x = 1 + 2c/3

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

Hoped this helped!

3 0

3 years ago

What is length of the altitude of the equilateral triangle below?

Lina20 [59]

Answer: OPTION D.

Step-by-step explanation:

Given the equilateral triangle shown in the figure, you need to find the value of the altitude "a".

In order to find the altitude, you can use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

In this case you can identify that:

$\alpha=60\°\\\\opposite=a\\\\adjacent=2\sqrt{3}$

Therefore, you can substitute values into $tan\alpha =\frac{opposite}{adjacent}$ :

$tan(60\°)=\frac{a}{2\sqrt{3}}$

Finally, you must solve for the altitude "a". Then, this is:

$(tan(60\°))(2\sqrt{3})=a\\\\a=6$

Notice that this result matches with the value shown in Option D.

3 0

4 years ago

find the equation of the straight line passing through P -2,1and parallel to the line with equation 2x - 3y=1

Zina [86]

Answer:

$y=\frac{2}{3} x+\frac{7}{3}$

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the line we're trying to find the equation for and the given line 2x-3y=1 must have the same slope.

1) Find the slope of 2x-3y=1

To do this, rewrite this equation in slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept (the value of y when the line crosses the y-axis)

$2x-3y=1$

Subtract 2x from both sides

$2x-3y-2x=1-2x\\-3y=-2x+1$

Divide both sides by -3 to isolate y

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

Now, we can easily identify that $\frac{2}{3}$ is in the position of m, the slope. Plug this into $y=mx+b$ :

$y=\frac{2}{3} x+b$

2) Find the y-intercept

$y=\frac{2}{3} x+b$

To find the y-intercept, plug the given point P(-2,1) into the equation and solve for b

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

Add $\frac{4}{3}$ to both sides of the equation

$1+\frac{4}{3}= \frac{-4}{3} +b+\frac{4}{3} \\\frac{3}{3} +\frac{4}{3}= b\\\frac{7}{3}$

Therefore, the y-intercept of the line is $\frac{7}{3}$ . Plug this into our original equation:

$y=\frac{2}{3} x+b\\y=\frac{2}{3} x+\frac{7}{3}$

I hope this helps!

6 0

3 years ago

Which statement must be true about the diagram?

Tcecarenko [31]

Answer:

It's the third choice.

Step-by-step explanation:

M < NKM and m < MKL both equal 61 degrees

so KM is a bisector of < NKL.

5 0

4 years ago

Read 2 more answers