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irakobra [83]
2 years ago
14

Jeremiah's dog eats 3/4 of a can of food each day. Jeremiah currently has 2 1/4 cans of dog food. How many days will the current

supply of dog food last?
Write your answer as a fraction or as a whole or mixed number.
Mathematics
1 answer:
musickatia [10]2 years ago
4 0

Answer: 3 days

Step-by-step explanation:

First, convert 2 1/4 from a mixed number to a fraction. This can be done by multiplying 2 and 4 and adding 1. 2*4 = 8+1 = 9. Currently, Jeremiah has 9/4 cans of dog food.

Now divide 9/4 by 3/4. To divide fractions, flip one fraction over and multiply to get the equation 9/4 * 4/3. The 4s in both the numerator and denominator cancel out, leaving you with a fraction of 9/3.

Divide 9 by 3 to get a final answer of 3 days.

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100 points!!! Pre calculus. I need helpppppppppp
Fantom [35]

Answer:

We have function,

y = 3 - 6 \sin {}^{} (2x +  \frac{\pi}{2} )

Standard Form of Sinusoid is

y =  - 6 \sin(2x +  \frac{\pi}{2} )  + 3

Which corresponds to

y = a \sin(b(x + c))  + d

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

y =  - 6(2(x +  \frac{\pi}{4} )) + 3

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

\frac{2\pi}{ |b| }

\frac{2\pi}{ |2| }  = \pi

So the period is pi radians.

b. Amplitude is

| - 6|  = 6

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

3 - 6 \sin((2(0) +  \frac{\pi}{2} )

3 - 6 \sin( \frac{\pi}{2} )

3 - 6(1)

3 - 6

=  - 3

So the y intercept is (0,-3)

E. To find phase shift, set x-c=0 to solve for phase shift.

x +  \frac{\pi}{4}  = 0

x =  -  \frac{\pi}{4}

Negative means to the left, so the phase shift is pi/4 units to the left.

f. Period is PI, so use interval [0,2pi].

Look at the graph above,

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2 years ago
Find the equation of the line that is perpendicular to -x+2y=11 and passes through the point (6,-5).
Serggg [28]

Step-by-step explanation:

m=-2

y+5=2(x-6)

y+5=2x-12

y=2x-17

6 0
3 years ago
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Adam is an opera singer. Below are the number of times that his voice cracked during each of six concerts
Gre4nikov [31]

In this picture dots are clearly shown the frequency of the concert.

<h3>What is Frequency?</h3><h3>Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.</h3>

Here, in given data about the six concerts

Concerts              Frequency

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Thus, on number line we mark 2 dots on zero, 2 dots on one, 1 dot on two and 1 dot on 3.

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1 year ago
What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame? 16.7° 17.5° 72.5° 73.3°
umka21 [38]

The complete question is

"A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

16.7°, 17.5°, 72.5°,73.3°"

The value of angle x would be 16.7 degrees.

<h3>What is the right triangle?</h3>

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.

The angle of a right angle is always 90 degrees.

In order to find the value of x, a tan would be used.

This is because we have given the opposite and adjacent sides as 10 ft and 3 ft.

Tan Ф = opposite / adjacent

Tan Ф =  (3/10)

= 16.7 degrees

The value of angle x would be 16.7 degrees.

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That will be the answer sir/ma’am
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