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2 years ago

What is the constant of proportionality?

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

3 0

Answer: The constant of proportionality is 3.25.

Step-by-step explanation: Divide 6.5 by 2, 9.75 by 3, or 13 by 4 and every time you will get an answer of 3.25.

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Answer this quickly plx

Natalija [7]

Answer:

10x+200 $\leq$ 375

Step-by-step explanation:

subtract 200 from both sides

10x $\leq$ 175

divide both sides by 10

x $\leq$ 17.5 cars

Jesse must wash atleast 17.5 cars to afford the bike.

5 0

3 years ago

Which of the following represents the factorization of the trinomial below?

rosijanka [135]

Answer:

B. (x-3)^2

Step-by-step explanation:

x^2-6x+9 = (x-3)^2

(a-b)^2=a^2-2ab+b^2

(a+b)^2=a^2+2ab+b ^2

6 0

2 years ago

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary

AlexFokin [52]

The sum of the first 8 terms is 2.51 to the nearest hundredth

Step-by-step explanation:

In the geometric sequence there is a constant ratio between each two consecutive terms

The formula of the sum of n terms of a geometric sequence is:

$S_{n}=\frac{a(1-r^{n})}{1-r}$ , where

a is the first term
r is the constant ratio between the consecutive terms

∵ The sequence is 6 , -5 , 25/6 , .............

∵ -5 ÷ 6 = $\frac{-5}{6}$

∵ $\frac{25}{6}$ ÷ -5 = $\frac{-5}{6}$

- There is a constant ratio between the consecutive terms

∴ The sequence is a geometric sequence

∵ The first term is 6

∴ a = 6

∵ The constant ratio is $\frac{-5}{6}$

∴ r = $\frac{-5}{6}$

∵ We need to find the sum of 8 terms

∴ n = 8

- Substitute the values of a, r and n in the rule above

∴ $S_{8}=\frac{6[1-(\frac{-5}{6})^{8}]}{1-(\frac{-5}{6})}$

∴ $S_{8}=2.511595508$

- Round it to the nearest hundredth

∴ $S_{8}=2.51$

The sum of the first 8 terms is 2.51 to the nearest hundredth

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0

3 years ago

Five less than the quotient of a number and 4 is 15. what is the number?

aleksklad [387]

Answer:

Let x be the number;

We solve the equation x ÷ 4 - 5 = 15;

Then x ÷ 4 = 20;

Finally x = 80;

Step-by-step explanation:

8 0

3 years ago

What properties and conventions do I need to understand (and be able to apply) in order to simplify and evaluate algebraic expre

igomit [66]

Answer:

So there are alot of various properties that could be used to solve different kinds of algebraic expressions. To solve a simple algebraic equation, most of the times u need to know the, addition, subtractions properties as well as division and multiplication division property.

Hope this helps!

3 0

3 years ago