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Vladimir [108]
3 years ago
12

Erin has $14 dollars to buy 7 lunches for the week. Write and solve an inequality that

Mathematics
1 answer:
LiRa [457]3 years ago
6 0

Answer:

7x \leq $14 ;  x\leq 2

Step-by-step explanation:

Where x represents the number of lunches

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One number is 4 times as large another. The sum of their reciprocals is 45/4. Find the two numbers
Reptile [31]
Let, 
the numbers be "x" and "y"
According to the question,
x = 4y ......................................................equation (1)

\frac{1}{x} + \frac{1}{y}= \frac{45}{4}...................................equation (2)

Taking equation (2)
\frac{1}{x} + \frac{1}{y}= \frac{45}{4}

Substituting the value of "x" from equation (1), we get,

\frac{1}{(4y)} + \frac{1}{y}= \frac{45}{4}

\frac{1}{4y} + \frac{1}{y}* \frac{4}{4} = \frac{45}{4}

\frac{1}{4y} + \frac{4}{4y}= \frac{45}{4}

\frac{1+4}{4y} = \frac{45}{4}

\frac{5}{4y} = \frac{45}{4}

Cross multiplying, we get,

5*4 = 45*4y

20 = 180y
<u />
\frac{20}{180}  = y

\frac{1}{9}  = y

y =  \frac{1}{9}

Now,
Taking equation (1)
x = 4y
Substituting the value of "y", we get

x = 4( \frac{1}{9} )

x= \frac{4}{9}

So, the numbers are \frac{1}{9} and \frac{4}{9}

7 0
3 years ago
Read 2 more answers
What is equivalent to
Alenkinab [10]

Answer:

1 : equal in force, amount, or value also : equal in area or volume but not superposable a square equivalent to a triangle. 2a : like in signification or import. b : having logical equivalence equivalent statements. 3 : corresponding or virtually identical especially in effect or function.

Step-by-step explanation:

4 0
3 years ago
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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
Hi help me with this pls ​
Rudiy27

\huge \underline{ \pink{Answer}}

Refer to the attachments

Attachment (1)

B (1)

Attachment 2

B(2)

3 0
2 years ago
Find the prime factor of the number 3825.​
Masja [62]

Answer:

the answer is 3×3×5×5×17=3825 use prime factorization

3 0
3 years ago
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