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3 years ago

Two and a half laps of a running track equal 1 km. How many laps equal 3 km?

Mathematics

2 answers:

AfilCa [17]3 years ago

5 0

Answer:

7.5 laps

Step-by-step explanation:

2.5=1 lap

2.5×3=7.5 laps

tiny-mole [99]3 years ago

4 0

Answer:

7 and 1/2

Step-by-step explanation:

1 x 3= 3. 2 1/2 x 3= 6+3/2=7 and 1/2

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Having trouble with this, help please? I will give brainliest.

yaroslaw [1]

Answer:

a) $7x-15=20$

b) $\frac{20+15}{7}$

c) 5

Step-by-step explanation:

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2 years ago

Please help I will give a brainless or brainly

enot [183]

Answer:

2x - 12 + 6 = 4x - 4

2x- 6 = 4x - 4

-6 +4 = 4x - 2x

-2 = 2x

x= -2/2

x = -1

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2 years ago

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What is 1+ 1 cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

marysya [2.9K]

Answer:

1+1 = 2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

I need help i don’t understand

ch4aika [34]

9514 1404 393

Answer:

A) J(-3, 1), ...

Step-by-step explanation:

All of the answer choices list point J' first, so it is convenient to use that as an example.

Point J on the given graph has coordinates (x, y) = (3, 2). The x-coordinate is 3 because the point is 3 units to the right of the y-axis.

The problem statement tells you to translate this point 6 units to the left. When you move it 6 units left, it will move left 3 units to the y-axis, then left 3 more units to have an x-coordinate of 3 -6 = -3. That is, each unit of movement to the left subtracts 1 from the x-coordinate. The x-coordinate of J is 3, so the final point J' will have an x-coordinate of 3 - 6 = -3.

At this point, you have enough information to make the correct answer selection. Only one answer choice has the x-coordinate of J' as -3.

The other coordinates are translated using similar logic. The y-coordinate of J is 2. Translating it down 1 unit subtracts 1 from the y-coordinate to make it be 2 -1 = 1. Then the coordinates of J' are (-3, 1).

We write the translation rule as ...

(x, y) ⇒ (x -6, y -1)

This means the coordinates of each translated point have 6 subtracted from the original x-coordinate, and 1 subtracted from the original y-coordinate. The other coordinates of the figure are ...

I(2, 4) ⇒ I'(2 -6, 4 -1) = I'(-4, 3)

H(5, 5) ⇒ H'(5 -6, 5 -1) = H'(-1, 4)

G(4, 1) ⇒ G'(4 -6, 1 -1) = G'(-2, 0)

3 0

3 years ago

One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the

Kipish [7]

Let's call the two numbers $s$ and $l$ .

Given these variables, we can say: $s = l - 14$ , based on the first sentence in the problem.

Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

$\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}$

To solve, we can simply substitute $l -14$ in for $s$ in the second equation and solve.

$\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}$

Set up

$\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}$

Get terms on the left side to a common denominator for easier addition

$\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}$

Simplify

$4(6l - 70) = l(l - 14)$

Cross multiplication ( $\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc$ )

$24l - 280 = l^2 - 14l$

Simplify

$l^2 - 38l + 280 = 0$

Subtract $24l - 280$ from both sides of the equation

$(l - 10)(l - 28) = 0$

Factor left side of the equation

$l = 10, 28$

Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This likely means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

$s = 10 - 14 = -4$ ,

Since $s$ is not positive in this case, $l = 10$ is not a solution.

Thus, $l = 28$ is our only solution. In this case,

$s = 28 - 14 = 14$ ,

which means that the smaller number is 14 and the larger number is 28.

5 0

3 years ago