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arlik [135]
3 years ago
6

Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which e

quation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer: B

Step-by-step explanation:

If we assume the no. of books to be x.

Value of more books will be 8.15 x

The equation will be

8.15x + 32.5 = 204

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Write 5,482 in expanded form
MakcuM [25]

Answer:

5000 + 400 + 80 + 2

5 0
3 years ago
Read 2 more answers
C. Tan k=31/24<br> D. Cos k= 31/24
lubasha [3.4K]

Hello!

The sin of D would be the opposite side divided by the hypotenuse. As we have no hypotenuse length, neither A or D would work, as the cosine also involves the hypotenuse.

The tangent is the opposite divided by the adjacent. This would be, in terms of D, 24/31. This does not match our option.

In terms of K, the tangent is 31/24.

Therefore, our answer is C) tanK= 31/24

I hope this helps!

7 0
3 years ago
The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and the
dem82 [27]
Answers:
- All values of t must be positive
- A viable solution is (10, 50)


- All values of t must be positive. 
EXPLANATION
t, temperature (in Fahrenheit) is dependent on c
c is the number of cricket chirps heard in 14 seconds
Therefore, all values of c must be positive integers
If all values of c must be positive integers
Then all values of t must also be positive integers

- A viable solution is (10, 50).
EXPLANATION
t = c + 40
Since 10 is a positive integer, it is a possible value for c

If c = 10
t = 10 + 10
t = 50
Therefore a viable solution is (10, 50)

EXPLANATION FOR WHY OTHER OPTIONS ARE WRONG:
- The graph is continuous. 
This is WRONG because this function only allows the values of c to be only certain points in the interval (only positive integers). Therefore, it is a discrete function.

- A viable solution is (–2, 38)
This is WRONG because the -2 is a negative integer, and the value of c cannot be a negative integer.

- A viable solution is (0.5, 40.5)
This is WRONG because 0.5 is not an integer, and all values of t must also be positive integers.
5 0
3 years ago
Read 2 more answers
The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that
Harman [31]

Answer:

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There  is no significant difference between  their counterparts across the nation

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the U.S residents  = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:</em></u>H₀:

There  is no significant difference between  their counterparts across the nation

<u><em>Alternative Hypothesis:-</em></u>H₁:

There  is  a significant difference between  their counterparts across the nation

Test statistic

                t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

               t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }

              t =  1.3788

Degrees of freedom

                ν = n-1  = 38-1 = 37

t₀.₀₅ ,₃₇ =    2.0262

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

<u><em>Final answer:-</em></u>

There  is no significant difference between  their counterparts across the nation.

5 0
3 years ago
Help ASAP DUE IN 26 MINUTES PLEASE I BEG YOU !!! 7 &amp; 8please!
Lynna [10]

This is question #8. First what you do is turn all the denominators to 8, and them you just add, so it's 3.5 in decimal, and 3 4/8 in mixed fraction, and if you simplify that you get 3 1/2 as your fraction, and if you want that as improper fraction you get 28/8. And for #7 there must be a diagram, can you show me that, maybe I can help.

3 0
3 years ago
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