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3 years ago

Which point is NOT correctly placed on this number line?

Mathematics

2 answers:

SSSSS [86.1K]3 years ago

5 0

Answer: Q is incorrect.

Explanation:

P = -24/3
(P = 24 divided by 3 which is 8, so P= -8)

Q = -9/2
(Q = 9 divided by 2 which is 4.5, Q= -4.5)

R= 7/2
(R= 7 divided by 2 which is 3.5, Q= 3.5)

S= 15/3
(S= 15 divided by 3 (= 5), so S= 5)

So... Looking at the number line, Q is actually on the point -3.5 instead of where it should be, -4.5. It is easy to miss at first glance but it counts backwards into the negative numbers.

Therefore point Q is not correctly placed on the number line.

I hope this helps :)

Tom [10]3 years ago

3 0

Answer:

Point R at 7/2

If it is wrong then the other answer is probably Point Q.

I hope I could help.

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It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0

3 years ago

Solve the equation and state a reason for each step. find x. show steps. 8x - 4 = 5x + 8

romanna [79]

Subtract 5x from both sides to make: 3x-4=8. Add four to both sides and divide by three, x=4.

4 0

3 years ago

Use the FOIL Method to find (x−4)(x+8).

Oksi-84 [34.3K]

Answer:

$x^2 +4x - 32$

Step-by-step explanation:

By FOIL method, $(x-4)(x+8) = x \cdot x + x \cdot 8 + -4 \cdot x + -4 \cdot 8 = x^2 +4x - 32.$

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3 years ago

Lex was chatting with his friends thomas and mike. He was wondering how much it will cost him to take a taxi from his house to w

UNO [17]

Answer:

$28.3

Step-by-step explanation:

x=rate for 1km

y=initial fee

Mike: $35 for 15km -> 35 = 15x + y

Thomas: $24.50 for 10km -> 24.50 = 10x + y

Using those two equations we see the following:

Mike paid $10.5 more for 5 more km. The initial fee remains unchanged, so we can calculate the rate for 1km, which is 10.5/5=2.1.

35 = 15x + y

24.50 = 10x + y

10.5 = 5x

2.1=x

Using that value with one of the original equations we can calculate the initial fee.

35 = 15x + y

35 = 15*2.1 + y

35 = 31.5 + y

3.5 = y

Mike paid 15*2.1=31.5 ($2.1 for every km) plus the initial fee, his total was $35.

We subtract the 31.5 from the 35(total) and get the initial fee, which is $3.5.

Let's see what Lex will pay:

Km travelled times 2.1 (the rate for 1km) plus 3.5 (the initial fee).

12*2.1 + 3.5 = 28.3

Lex will pay $28.3 for the same taxi company to travel 12 km.

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3 years ago

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Classify triangle ABC by its sides. Then determine whether it is a right triangle.

Paul [167]

Answer:

right triangle it is because if u make a graph and put the points u would get a right isosclses triangle

Step-by-step explanation:

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3 years ago

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