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3 years ago

7

Of the 8 planets is our solar system, 4 are considered rocky. If a student randomly selects 1 of those 8 planets as topic for a

report, what is the probability that the selected planet will be rocky

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

50%

Step-by-step explanation:

He has a 4/8 that he picks a rocky and a 4/8 that he doesn't. That gives us 1/2 and 1/2. 1/2=0.5 0.5×100%=50%

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a triangle has side lengths of (5.5x + 6.2y) centimeters, (4.3x + 8.3z) centimeters, and (1.6z - 5.1y) centimeters. which expres

Alexxx [7]

Answer:

bjukvbbvuhbbbuyvbuybgvuybvgtbvytvygvgvhvmhvghvcjygcnhmStep-by-step explanation:

6 0

3 years ago

1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, $\frac{spirit}{varnish}=\frac{25}{75}$

$=\frac{1}{3}$

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let $x$ be the quantity of total solution.

Then, $240:x=3:4$ .

⇒ $\frac{240}{x}=\frac{3}{4}$

⇒ $3x=240*4$

⇒ $x=\frac{240*4}{3}$

⇒ $x=320$

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒ $\frac{Height}{Width} =\frac{15}{10}$

⇒ $\frac{Height}{Width} =\frac{3}{2}$

Hence, the ratio of tapestries' heights to width is 3:2.

8 0

3 years ago

5/6x6/7=?? Please answer

Lapatulllka [165]

$\red { \orange {\boxed {\boxed{Answer}}}}$

<h2> $= \frac{5}{6} \times \frac{6}{7}$ </h2><h2> $= \frac{5 \times 6}{6 \times 7}$ </h2><h2> $= \frac{30}{42}$ </h2><h2> $= \frac{30 \div 6}{42 \div 6}$ </h2><h2> $= \frac{5}{7}$ </h2>

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

6 0

3 years ago

Dimas [21]

Answer:

The simplest radical form is $9\sqrt{5}$ ⇒ (c)

Step-by-step explanation:

To simplify any square root;

Factorize the number under the root using prime numbers

Take out the root any number repeated twice as one number

<em><u /></em>

<em><u>Examples:</u></em>

1. Simplify $\sqrt{8}$

factorize 8 using prime numbers

8 = 2 × 2 × 2, then $\sqrt{8}=\sqrt{(2)(2)(2)}$

Take two of 2 out the root, then $\sqrt{8}=2\sqrt{2}$

2. Simplify $\sqrt{18}$

factorize 18 using prime numbers

18 = 2 × 3 × 3, then $\sqrt{18}=\sqrt{(2)(3)(3)}$

Take the two 3 out the root, then $\sqrt{18}=3\sqrt{2}$

Let us simplify $3\sqrt{45}$

∵ 45 = 3 × 3 × 5

∴ $3\sqrt{45}=3\sqrt{(3)(3)(5)}$

→ Take the two 3 out by one 3

∴ $3\sqrt{45}=3(3)\sqrt{5}$

→ Multiply the numbers out the root

∴ $3\sqrt{45}=9\sqrt{5}$

∴ The simplest radical form is $9\sqrt{5}$

8 0

3 years ago

Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the gr

shutvik [7]

Answer: The correct option is, The coefficient of the first term.

Step-by-step explanation:

The given function is,

$f(x)=-3x^3+9x^2-2x+3$

End behavior of the polynomial function : It is defined as the graph of f(x) as x approaches $+\infty$ and $-\infty$ .

The end behavior of the graph depends on the leading coefficient and degree of the polynomial.

As, the degree of the polynomial is '3'. So, the leading coefficient will determine the structure of the graph.

Therefore, the coefficient of the first term will indicate that the left end starts at the top of the graph.

The graph is also shown below.

5 0

3 years ago

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