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2 years ago

Simplify. -3x = 50 a. -150 b. 150 c. 16 2/3 d. -16 2/3

Mathematics

1 answer:

Sedbober [7]2 years ago

7 0

Answer:

$\large\boxed{d.\ -16\dfrac{2}{3}}$

Step-by-step explanation:

$-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}$

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The data set shows the numbers of hours students study the week before a test. Find and interpret the mean absolute deviation of

patriot [66]

Step-by-step explanation:

3 + 4 + 5 + 6 + 6 + 7 + 8 + 8 + 9 + 9 / total of numbers or 10 = 65 ÷ 10 = 6.5 This is the mean.

3 - 6.5 = 3.5

4 - 6.5 = 2.5

5 - 6.5 = 1.5

6 - 6.5 = 0.5

7 - 6.5 = 0.5

8 - 0.5 = 7.5

9 - 0.5 = 8.5

MAD = 1.7

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3 years ago

Convert the angle \theta=\dfrac{8\pi}{9}θ=

Olegator [25]

Answer:

160°

Step-by-step explanation:

-Given the angle in radians as $\theta=\dfrac{8\pi}{9}\ rad$

-We know that $1 \ rad=\frac{180}{\pi}\textdegree$

-Let our angle theta be X

#We therefore equate and cross multiply:

$1\ rad=\frac{180}{\pi}\\\\\frac{8\pi}{9}=x\\\\\therefore X=\frac{180}{\pi}\times \frac{8\pi}{9}\\\\=160\textdegree$

Hence, angle θ is 160°

8 0

2 years ago

Use the Pythagorean theorem to find the length of the hypotenuse in the triangle shown below.4,3

marshall27 [118]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

c = 5

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME IM STRUGGLING!!!

Kitty [74]

Answer:

The required answer is $c=7\sqrt{3}$

Therefore the number in green box should be 7.

Step-by-step explanation:

Given:

AB = 7√2

AD = a , BD = b , DC = c , AC = d

∠B = 45°, ∠C = 30°

To Find:

c = ?

Solution:

In Right Angle Triangle ABD Sine identity we have

$\sin B = \dfrac{\textrm{side opposite to angle B}}{Hypotenuse}\\$

Substituting the values we get

$\sin 45 = \dfrac{AD}{AB}= \dfrac{a}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}= \dfrac{a}{7\sqrt{2}}\\\\\therefore a=7$

Now in Triangle ADC Tangent identity we have

$\tan C = \dfrac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}$

Substituting the values we get

$\tan 30 = \dfrac{AD}{DC}= \dfrac{a}{c}\\\\\dfrac{1}{\sqrt{3}}=\dfrac{7}{c}\\\\\therefore c=7\sqrt{3}$

The required answer is $c=7\sqrt{3}$

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3 years ago

Jennifer has 3 1/2 cups of jelly beans to share with 7 friends. How many cups does each person get?

kakasveta [241]

This will be 3 1/2 divided by 7

which is 1/2 cup each.

6 0

3 years ago

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