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Lisa [10]
3 years ago
5

If it took Carlos an hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles

? (Note: 1 mile = 5,280 feet)
(1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.
(2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second.
Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Option 2 is the correct answer.

Step-by-step explanation:

We know that

Speed=\frac{Distance}{time}

We have 1 mile = 5280 feet thus 6 miles = 31680 feet

Similarly 1 hour = 3600 seconds

Applying values in the equation above we get

Speed=\frac{31680feet}{3600sec}\\\\Speed=8.8feet/sec

Thus his average speed is less than 18feet/sec

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Hilary bought two new books for $5.25 each and three used books for $2.50 each. Shipping costs $5.00 total for the first two ite
KatRina [158]

Answer:

26.75

Step-by-step explanation:

7 0
3 years ago
Write the slope and y intercept of each equation:
vichka [17]

Answer:

A) slope = 2, y-intercept = -6

B) slope = -4, y-intercept = 6

Step-by-step explanation:

A) y = 2x - 6

The equation for a line is y = mx + b, where <em>m</em> represents the slope, and <em>b</em> represents the y-intercept. So, to find the slope and y-intercept, all we have to do is look at the line's equation.

Here, the <em>m </em>is 2, so the slope is 2

The <em>b</em> is -6, so the y-intercept is -6

B) y = -4x + 6

Here, the <em>m</em> is -4, so the slope is -4

The <em>b </em>is 6, so the slope is 6

You would graph the equation y = 4x + 6 by plotting a point at the y-intercept of the line, which would be 6. Then, for every time you move one space to the right, you'd plot a point four spaces up to show the slope of four.

7 0
3 years ago
Is 25.789 bigger then 25.879
dimulka [17.4K]
It is not bigger. 25.879 is bigger by .100
6 0
3 years ago
GIVING BRAINIEST IF CORRECT!!<br><br> Factor x^4 - 16 completely
ioda

Answer:

(x^2 + 4)(x + 2)(x - 2)

Step-by-step explanation:

Hello!

We can use the difference of square method.

<h2>Difference Of Squares (DOS)</h2>

The formula for the DOS is (a + b)(a - b) = a^2 - b^2

It is a simple way to factor polynomials.

The criteria:

  • Has to begin and end with a perfect square
  • The operation has to be subtraction

<h3>Factor:</h3>
  • x^4 - 16

Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)

  • (x^2 + 4)(x^2 - 4)

Warning! Watch out, there may be another DOS!

x^2 - 4 is another DOS

  • (x^2 + 4)(x + 2)(x - 2)

The x² + 4 is not a DOS because the operation is addition.

The final factored form is (x^2 + 4)(x + 2)(x - 2)

8 0
2 years ago
a rectangle has a width of 4 cm and a length of 8cm is scaled by a factor of 6.what are the side lengths of the scaled copy
vichka [17]

Answer:

\huge\boxed{\text{Width: } 24 \ \ \ \text{Length: } 32}

Step-by-step explanation:

When we scale an object by a scale factor, the side lengths become the scale factor times bigger than the previous sides. Therefore, with a scale factor of 6, the side lengths would be multiplied by 6.

4 \cdot 6 = 24\\\\4 \cdot 8 = 32

Hope this helped!

6 0
3 years ago
Read 2 more answers
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