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3 years ago

True or False 12/16 and 18/24 are proportional...

Mathematics

2 answers:

ivanzaharov [21]3 years ago

8 0

True because when simplified they are like
12/16= 3/4
18/24= 3/4

Sliva [168]3 years ago

5 0

I think the answer is true

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Evaluate 5xyz + 3y for x=2.5, y=12, and z=4

Reika [66]

Answer:

636

Step-by-step explanation:

5xyz+3y

5(2.5)(12)(4)+3(12)

(12.5)(48)+36

600+36

636

8 0

3 years ago

Elias has decided to fence in a garden that is in the shape of a parallelogram. If one side measures 76 ft and 250 ft of fencing

Leni [432]

The length of side of garden are 76 feet and 49 feet

Solution:

Given that, Elias has decided to fence in a garden that is in the shape of a parallelogram

Measure of one side = 76 feet

250 ft of fencing is needed to enclose the garden

Therefore, perimeter = 250

The perimeter of parallelogram is given by:

Perimeter = 2(a + b)

Where, a and b are the length of sides

Here, a = 76

b = ?

Substituting in formula, we get

250 = 2(76 + b)

250 = 152 + b

2b = 250 - 152

2b = 98

b = 49

Thus the length of side of garden is 49 feet

8 0

3 years ago

The following data is looking at how long it takes to get to work. Let x = commuting distance (miles) and y = commuting time (mi

My name is Ann [436]

Answer:

Explanation has been given in the attachment.

Step-by-step explanation:

8 0

3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig

Vladimir [108]

Answer:

The equation is given by:

$D(t) = 80 + 9\sin{0.2618t}$

Step-by-step explanation:

Sine function:

Has the following format:

$y = A\sin{bx}$

In which A is the amplitude and $\frac{2\pi}{b}$ is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that $A = 9$

During a 24-hour day, which means that the period is 24. So

$\frac{2\pi}{b} = 24$

$24b = 2\pi$

$b = \frac{2\pi}{24}$

$b = 0.2618$

So the variation is:

$V(t) = 9\sin{0.2618t}$

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

$D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}$

8 0

3 years ago

Find the Inverse y = x+10/7

Alona [7]

Answer:

x - $\frac{10}{7}$

Step-by-step explanation:

y = x + 10/7

x = y + 10/7

x - 10/7 = y

y = x - 10/7

x - $\frac{10}{7}$

3 0

3 years ago