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2 years ago

30 laps in 6 days = ? laps per day

Mathematics

2 answers:

Nady [450]2 years ago

6 0

Answer:

5 laps per day

Step-by-step explanation:

30 laps divided by 6 days gives you 5 laps per day.

Brums [2.3K]2 years ago

3 0

Answer:

Step-by-step explanation:

30 ÷ 6 = 5

# of laps divided by the 6 days gives us the number of laps per day.

<h3>Hope this Helps!</h3>

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Find the value g(-2), where g is defined below.<br> g(x) = 2x^2- 4x – 4

DanielleElmas [232]

Answer:

Step-by-step explanation:

For this question, simply plug in -2 for x:

$g(-2)=2(-2)^2-4(-2)-4\\g(-2)=2(4)+8-4\\g(-2)=8+8-4\\g(-2)=12$

Hope this helps!!

8 0

3 years ago

You invested money in two funds. Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you receiv

Angelina_Jolie [31]

You invested 11000 in in 2st fund and 9000 in 2nd fund

<h3><u>Solution:</u></h3>

Given that, You invested money in two funds.

Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.

This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.

Let the amount in Fund I be $x and amount in Fund II be $ y

Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)

And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)

Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660

Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500

Subtract the two equations

(2) ⇒ 0.6x + 0.1y = 7500

(1) ⇒ 0.16x + 0.1y = 2660

(-) --------------------------------

0.44x + 0 = 4840

x = 11000

Now, from eqn (2)

0.12(11000) + 0.02y = 1500

0.02y = 1500 – 1320

0.02y = 180

y = 9000

Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund

5 0

3 years ago

Rewrite the expression $6j^2 - 4j 12$ in the form $c(j p)^2 q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$

solniwko [45]

$Rewrite the expression 6j^2 - 4j + 12$ in the form $c(j + p)^2 + q$, where $c$, $p$, and $q$ are constants. What is $\frac{q}{p}$$

The ratio of $\frac{q}{p}$ = - 34

How to solve such questions?

Such Questions can be easily solved just by some Algebraic manipulations and simplifications. We just try to make our expression in the form which question asks us. This is the best method to solve such questions as it will definitely lead us to correct answers. One such method is completing the square method.

Completing the square is a method that is used for converting a quadratic expression of the form $ax^{2} + bx + c$ to the vertex form

$a(x - h)^{2} + k$ . The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: $a(x + m)^{2} + n$ , such that the left side is a perfect square trinomial