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3 years ago

Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles

1 answer:

6 0

Let time taken by Luke to cover the distance = x hours Speed of Luke = 6 miles per hour Therefore, Distance covered by Luke = 6x ------(1) Speed of Micah = 4 miles per hour Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started. Therefore time taken by Micah to cover the distance = x+1/2 Distance covered by Micah = 4(x + 1/2) -------(2) Equating (1) and (2) 6x = 4(x+1/2) 6x = 4x +2 2x = 2 x= 1 Therefore Luke would take 1 hour to cover the distance covered by Micah.

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At a particular restaurant each mozzarella stick has 90 cal in each pizza roll has 80 cal. A combination meal with the mozzarell

serious [3.7K]

Answer:

The meal consist 11 mozzarella sticks and 6 pizza rolls.

Step-by-step explanation:

We are given the following in the question:

Calories in mozzarella stick = 90

Calories in pizza roll = 80

Let x be the number of a mozzarella stick and y be the number of pizza rolls.

Total calories in meal = 1470

Thus, we can write the equation:

$90x + 80y = 1470$

There are five more mozzarella sticks than pizza roll.

Thus, we can write the equation:

$x = y + 5\\x-y = 5$

Solving the two equations, we get,

$90x+80y+80x-80y = 1470 + 400\\170x = 1870\\x = 11\\y = 11-5 = 6$

Thus, the meal consist 11 mozzarella sticks and 6 pizza rolls.

4 0

3 years ago

4. What are the values of x and y? HELP PLEASE

Sergeeva-Olga [200]

The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.

TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.

17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17

For some reason, this does not give a correct value for Y, so I had to use trig

TO FIND Y

Notice that the angle DAB is the same as DBC (lets call this angle Ø)

Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.

We can now form some equations:

cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15

X=64/15 Y=136/15

8 0

3 years ago

Find a12 given the geometric sequence 4, 8, 16, 32, ...

SSSSS [86.1K]

The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)

<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>

Sequences are series of elements generated according to at least one condition, usually equations. geometric sequences are generated according to a exponential formulas, whose form and characteristics are described below:

f(n) = a · bⁿ ⁻ ¹ (1)

Where:

a - First element of geometric sequence
b - Common ratio of the geometric sequence
n - Element index within the geometric sequence

If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:

f(12) = 4 · 2¹² ⁻ ¹

f(12) = 4 · 2¹¹

f(12) = 4 · 2,048

f(12) = 4,096

The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)

To learn more on geometric sequences: brainly.com/question/4617980

#SPJ1

6 0

2 years ago

100 points which line is linear model

Svetach [21]

Answer:

number 4/ the one that is in the bottom right corner. Thanks for the 100 pts.

pls rate best. God bless!

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

40 POINTS!!!!Which of the following is not a polynomial?

ElenaW [278]

Answer:

5x²

Step-by-step explanation:

because polynomials are the expressions where many terms are involved

8 0

3 years ago