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3 years ago

2/3 + w = 3/2 what is w

Mathematics

1 answer:

german3 years ago

6 0

Answer:

0.8333

Step-by-step explanation:

2/3 + x

x + 2/3

x + 2/3 = 3/2

x + 2/3 - 3/2 = 0

2/3 - 3/2 = 4/6 - 9/6 = - 5/6

x - 5/6 = 0

use linear function

f(x) - ax + b

f(x) = x - 5/6

a = 1

b = - 5/6

x- 5/6= 0

x = 5/6

x = 0.8333

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andrew-mc [135]

Make bottom number same

4/13 times 10/10=40/130
3/10 times 13/13=39/130

between 40/130 and 39/130
hmm
we can doulbe both (time 2/2 each)
80/260 and 78/260
a ratioal number between is 79/260

5 0

3 years ago

Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each

Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are equivalent.
Two lines are perpendicular if their slopes are negative reciprocals of each other.
And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

$\displaystyle 3x+4y=12$

We can convert this into slope-intercept form. Subtract 3x from both sides:

$4y=-3x+12$

And divide both sides by four:

$\displaystyle y=-\frac{3}{4}x+3$

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

$-6x-8y=24$

Again, let's convert this into slope-intercept form. Add 6x to both sides:

$-8y=6x+24$

And divide both sides by negative eight:

$\displaystyle y=-\frac{3}{4}x-3$

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

3 0

2 years ago

Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)

ddd [48]

$6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o$

3 0

2 years ago

You ask 125 randomly chosen students their favorite sport. There are 1300 students in the school. Based on the results of the su

yan [13]

780 students

Set up a proportion.

75 / 125 = x/1300

125 10.4 = 1300

75 * 10.4 = 780

x=780

5 0

3 years ago

Help plz its math and i will give brainlest if u answer

lesantik [10]

Answer:

not a right triangle

Step-by-step explanation:

We can use the Pythagorean theorem to see if it is a right triangle

a^2 + b^2 = c^2

15^2 + 12^2 = 21^2

225 + 144 = 441

369 = 441

This is not true so it is not a right triangle

3 0

4 years ago

Read 2 more answers