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3 years ago

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer:

Speed = 0.2 miles per minute.

Step-by-step explanation:

Given : Jamaal ran 6 miles in 30 minutes.

To find : Which expression shows how to correctly determine his speed in miles per minute.

Solution : We have given

Distance = 6 miles.

Times= 30 minute .

Speed = $\frac{Distance}{time}$ .

Speed = $\frac{6}{30}$ .

Speed = 0.2 miles per minute.

Therefore, Speed = 0.2 miles per minute.

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Fitness Your goal is to take at least 10,000 steps per day. According to your pedometer, you have walked 527 4 steps. Write and

Archy [21]

The inequality is x + 5274 ≥ 10,000.

The total number of steps I have to take to reach my goal is 4726.

<h3>How many more steps do I have to take?</h3>

Here are inequality signs and what they mean:

> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to

Number of steps I have to take + number of steps I have taken ≥Total steps

X + 5274 + x ≥ 10,000

x ≥ 10,000 - 5274

x ≥ 4726

To learn more about inequality, please check: brainly.com/question/5031619

#SPJ1

5 0

1 year ago

A circle has a radius of 7 inches what is the area

Scrat [10]

Answer:

49π and 153.86 when multiplyed by 3.14.

Step-by-step explanation:

Hi!

The formula for finding the area of a circle is πr².

In that case, all we have to do is substitute 7 inches for our r.

7² × π

= 49π

If you want that solved out, we can substitute a rational number for π (3.14)

49 × 3.14 = 153.86

Thus, the area of the circle is $\boxed{49\pi}$ , 153.86 roughly.

Hope this helps!

8 0

3 years ago

Giving 40 points who help me

Elena L [17]

Answer:

D is the answer. There are 5 boxes, that each has 3 filled in.

7 0

2 years ago

Simplify (write without the absolute value sign): |x−(−12)|, if x<−12

VladimirAG [237]

Answer:

|x + 12|

Step-by-step explanation:

The question I took form you I assume looks like this...

|x - (-12)|

Therefore, if we simplify this, the answer is |x + 12|

This is the answer because you would multiply -1 by -12

3 0

3 years ago

Find the vertex of the graph of the function.

lapo4ka [179]

Answer: The correct options are (1) (5,10), (2) (3,-3), (3) x = -1, (4) $y=(x+2)^2+3$ , (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

$f(x)=a(x-h)^2+k$ .....(1)

Where, (h,k) is the vertex of the parabola.

(1)

The given equation is,

$f(x)=(x-5)^2+10$

Comparing this equation with equation (1),we get,

$h=5$ and $k=10$

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

$f(x)=3x^2-18x+24$

$f(x)=3(x^2-6x)+24$

To make perfect square add $(\frac{b}{2a})^2$ , i.e., $9$ . Since there is factor 3 outside the parentheses, so subtract three times of 9.

$f(x)=3(x^2-6x+9)+24-3\times 9$

$f(x)=3(x-3)^2-3$

Comparing this equation with equation (1),we get,

$h=3$ and $k=-3$

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

$f(x)=4x^2+8x+7$

$f(x)=4(x^2+2x)+7$

To make perfect square add $(\frac{b}{2a})^2$ , i.e., $1$ . Since there is factor 4 outside the parentheses, so subtract three times of 1.

$f(x)=4(x^2+2x+1)+7-4$

$f(x)=4(x+1)^2+3$

Comparing this equation with equation (1),we get,

$h=-1$ and $k=3$

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

$y=x^2+4x+7$

To make perfect square add $(\frac{b}{2a})^2$ , i.e., $2^2$ .

$f(x)=x^2+4x+4+7-4$

$f(x)=(x+2)^2+3$

Therefore, the correct option is 4.

(5)

The given equation is,

$h=-16t^2+672t$

It can be written as,

$h=-16(t^2-42t)$

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

$x=\frac{b}{2a}$

$x=\frac{42}{2}$

$x=21$

Therefore, after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

$f(x)=3x^3-12x^2-15x$

$f(x)=3x(x^2-4x-5)$

Use factoring method to find the factors of the equation.

$f(x)=3x(x^2-5x+x-5)$

$f(x)=3x(x(x-5)+1(x-5))$

$f(x)=3x(x-5)(x+1)$

Equate each factor equal to 0.

$x=0,-1,5$

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0

3 years ago