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3 years ago

7

Proportions and equations solve

1 answer:

kirza4 [7]3 years ago

7 0

Y=9x because if you divided y by x all the numbers will equal to 9 which is proportional

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What is the rule when finding the sum of numbers from 1-100?

Sphinxa [80]

Answer:

Step-by-step explanation:

Sum of 1 through 100 = 100×(1+100)/2

6 0

3 years ago

If a cube of metal measures 3 cm on each side and has a mass of 216 g what is the density of the metal

ohaa [14]

The formula of density is mass / volume.
So, the volume is equal to the area of the cube by the total height, so the area of the cube is 3x3= 9, and this result multiplied by the height, 9x3 = 27.
Following the formula of density, we have 216 g / 27 cm^3, the result is 8 g/cm^3.
Hope you undestand my procedure XD

4 0

3 years ago

Read 2 more answers

6x = 2y - 7 what is the terms

Fudgin [204]

Answer:

y = 3x+7/2, and x = (2y-7)/6

Step-by-step explanation:

6 0

3 years ago

SAVE ME. Please Answer my Questions Clevers.

Vladimir [108]

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: $\mathbb{N}$

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as $\mathbb{Z}_{\ge 0}$

<u>Whole numbers less than or equal to 20</u>: $A\leq 20, A \subset \mathbb{Z}_{\ge 0} \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}$

<u>A. Prime numbers</u>

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=\frac{8}{21} \approx 40\%$

<u>B. Composite numbers</u>

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=\frac{11}{21} \approx 52\%$

<u>C. Divisible by three</u>

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

$P=\frac{6}{21} \approx 30\%$

<u>D. Square of 2</u>

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

$\sqrt{0} =0$

$\sqrt{1} =1$

$\sqrt{4} =2$

$\sqrt{9} =3$

$\sqrt{16} =4$

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=\frac{5}{21} \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

$2x+3x=180 \implies 5x=180 \implies x=36$

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of 9x-4<13x-7 (domain, x e z) ?

$x \in \mathbb{Z}\\$

$x>\frac{3}{4}$

$x\in \left(\frac{3}{4},\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$\frac{3}{4} x =\frac{1}{10} \implies 3x=\frac{4}{10} \implies \boxed{x = \frac{2}{15}}$

Q5. which one is the equation of the line passing through the origin and having a slope 4?

$y=mx+b$

$m: \text{slope}$

$b: \text{y-intercept}$

B. Y= 4x

7 0

3 years ago

Which is the value of x is in the domain of f(x)=x-8

mrs_skeptik [129]

Answer:

8

Step-by-step explanation:

Solve for x:

x - 8 = 0

Hint: | Isolate terms with x to the left hand side.

Add 8 to both sides:

x + (8 - 8) = 8

Hint: | Look for the difference of two identical terms.

8 - 8 = 0:

Answer: x = 8

8 0

3 years ago