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2 years ago

1. Explain the difference between rate and unit rate using their definitions.

Mathematics

2 answers:

Elodia [21]2 years ago

4 0

A rate is something that happens frequently, while a unit rate is an individual digit.

Lostsunrise [7]2 years ago

3 0

A rate is a non simplified ratio so a rate could be

4:2=rate
the UNIT rate=the simplest for or 2:1

so exg
300 jumps in 3 days=rate
100 jumps per day=unit rate

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I need help I did most of them but not sure if there right if you could tell me that would be great. Also can you help me with 9

Andrej [43]

Explanation:

In the given identified the following with reasons.

1. Given

2. Corresponding Angles postulate

3. Reflexive property of congruence

4. AA similarity postulate.

5. Triangle proportionate

6. Cross multiply

7. Distributive property of equality

8. Subtraction property of equality

9. Division property of equality

10. Prove

8 0

3 years ago

9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to neare

prohojiy [21]

Answer:

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as

$\frac{74}{9 - v} - \frac{74}{9 + v} = 5$

⇒ $\frac{2v}{81 - v^{2} } = \frac{5}{74}$

⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write

$v = \frac{-148 + \sqrt{148^{2} - 4(5)(-405) } }{2(5)}$ (Neglecting the negative root)

⇒ $v = \frac{- 148 + 173.2166}{10} = 2.5$ mph (Rounded to the nearest 10th) (Answer)

7 0

3 years ago

the vertex of this parabola is at (5,5). when the x-value is 6, the y-value is -1. what is the coefficient of the squared in the

zlopas [31]

Answer: OPTION D.

Step-by-step explanation:

The vertex form of a quadratic function is:

$y= a(x - h)^2 + k$

Where (h, k) is the vertex of the parabola and "a" is the coefficient of the squared in the parabola's equation.

We know that the vertex of this parabola is at (5,5) and we also know that when the x-value is 6, the y-value is -1.

Then we can substitute values into $f (x) = a(x - h)^2 + k$ and solve for "a". This is:

$-1= a(6- 5)^2 + 5\\\\-1=a+5\\\\-1-5=a\\\\a=-6$

7 0

3 years ago

Tyler needs at least $205 for a new video game system. He has already saves $30. He earns $7 an hour at his job. Write and solve

azamat

Amount needed=earned+already have
205=earned+30
earned=7 times number of hours=7h

205≤7h+30
we used the less than or equal to because he needs at least 205, means 205 or greater must be earned

205≤7h+30
minus 30 both sides
175≤7h
divide both sides by 7
25≤h
needs to work at least 25 hours

5 0

3 years ago

Read 2 more answers

Can you resolve this? A= Area P= Perimeter AT= Total Area plis help D:

Paraphin [41]

Answer:

in steps

Step-by-step explanation:

upper square: P = 20x² + 8

side: P/4 = 5x² + 2

A = side² = (5x² + 2)² = 25x⁴ + 20x² + 4

Middle equilateral Triangle: A = x² + 4x + 4 base = 2x + 4

A = base x height / 2

(x + 2)² = 2 (x + 2) x height /2

height = x + 2

perimeter = 2 (x + 2) x 3 = 6x + 12

Lower trapezoid: A₁ = 2x² + 24x + 40 = 2 (x² + 12x + 20) = 2 (x + 2) (x + 10)

A₁ = (x + 10)² = 2 (x + 2) (x + 10)

x + 10 = 2x + 4

x = 6

A₂ = (2x + 4) (x + 10) / 2 = (16 x 16) / 2 = 128

A₁ = (6 + 10)² = 256

AT = 256 + 128 = 384

6 0

3 years ago