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wlad13 [49]
3 years ago
13

Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes eac

h day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles.
Which equation can Russell use to find how many miles, x, he ran each day after school?
Mathematics
2 answers:
melamori03 [73]3 years ago
7 0

Answer:the equation would be something like 30=5x+10

Step-by-step explanation:we know the total is 30 miles

he ran 5 days

the morning run is 2 miles

2*5=10

10 plus the unknown miles times 5 days gives us 30

so 30=5x+10 subtract 10 both sides

20= 5x=20

divide both sides by 5

x=4

Goshia [24]3 years ago
4 0

Answer:

x=4

Step-by-step explanation:

5day, 2m before school, total 10m before school

5x after school

10+5x=30

5x=30-10

5x=20

x=4

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3 years ago
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Use the quadratic expression 15x2+14x−16 to answer the questions.
marusya05 [52]

Answer:

A: second one or middle choice

B: (5x + 8)(3x - 2)

Step-by-step explanation:

First question (A)

It is a trinomial. You can't use the difference of squares on it. The difference of squares have two terms as an answer.

It is not a perfect square. 15 is not a perfect square and c would have to be positive not minus to even think about using a perfect square.

So the A answer is the second one. You need two different binomials to factor this.

Second Question

You could try all the possible pairings and solve them by brute force.

The are five choices the go with the first one (3x + 4). Eventually you would get the answer, you would have to try 5 + 4 + 3 + 2 + 1 = 15 attempts.

There must be a shorter way.

14 means that the expressions are fairly far apart. This was just luck on my part. There is no logic. 8 and 2 for 16 are fairly far apart.

(5x + 8)(3x - 2)

The middle term is 8*3x - 2*5x = 14x and that looks like the answer.

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3 years ago
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Answer:

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2 years ago
What is the simplest form for 1.4 over 7?
Nataliya [291]
The simplest form for it is 2/10

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4 0
3 years ago
In a unit circle, ø = 270º. Identify the terminal point and sin ø.
larisa [96]

Answer:

Terminal point (0, -1); sin Ø = -1 ⇒ A

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis

  • The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
  • The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
  • The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
  • The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1

In a unit circle

∵ Ф = 270°

→ By using the 4th rule above

∴ The terminal point is (0, -1)

∴ sinФ = -1

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