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dimaraw [331]
3 years ago
12

A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie

nt have each day?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

The patient can have 204.8 ounce cups of coffee every day.

Step-by-step explanation:

Initial consumption limit of the coffee by the patient- 512-ounce cups

Doctor recommendation-60% cut back in the coffee consumption

Thus according to the doctor's recommendation, if the patient needs to cut back 60% of the coffee consumption, then he is only to consume remaining (100-60)= 40% of his daily consumption.

Total daily consumption he can take= 40% of initial consumption

= (40/100) *512 ounces

= 204.8 ounces of coffee

Hence, the patient needs to take only 204.8 ounces of coffee complying by the Doctor’s recommendation.

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Sammy wants to deposit into a 7% annual simple interest account she will also deposit twice as much in a certificate of deposit
antiseptic1488 [7]

Answer: $2294 should be invested in the simple interest account while $4588 should be invested in the certificate of deposit.

Step-by-step explanation:

Let x represent the amount that he would deposit in the simple interest account.

Let y represent the amount that he would deposit in the certificate of deposit.

she will deposit twice as much in the certificate of deposit. It means that

y = 2x

Interest from the simple interest account would be 7%. This mean that the interest would be 7/100 × x = $0.07x

Interest from the certificate of deposit account would be 5%. This mean that the interest would be 5/100 × y = $0.05y.

The total interest from both accounts would be $390. It means that

0.07x + 0.05y = 390- - - - - - - - - - 1

Substituting y = 2x into equation 1, it becomes

0.07x + 0.05 × 2x = 390

0.07x + 0.1x = 390

0.17x = 390

x = 390/0.17 = $2294

y = 2x = 2 × 2294

y = 4588

4 0
2 years ago
A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a
HACTEHA [7]

To find the average of numbers you have to add all the numbers and divide by the number of numbers. *confusing*

25 + 25.4 + 25.35 + 26.1 = 101.85

101.85 ÷ 4 = 25.4625

♡ Hope this helped! ♡

❀ 0ranges ❀

9 0
3 years ago
Read 2 more answers
The difference of the degrees of the polynomials p(x) = 3x2y2 + 5xy? - x6 and q(x) = 3x5 - 4x3 + 2 is
svet-max [94.6K]

Answer:

The difference of the degrees of the polynomials p (x) and q (x) is 1.

Step-by-step explanation:

A polynomial function is made up of two or more algebraic terms, such as p (x), p (x, y) or p (x, y, z) and so on.

The polynomial’s degree is the highest exponent or power of the variable in the polynomial function.

The polynomials provided are:

p(x) = 3x^{2}y^{2} + 5xy - x^{6}\\\\q(x) = 3x^{5} - 4x^{3} + 2

The degree of polynomial p (x) is:

\text{deg}\ p (x)=6

The degree of polynomial q (x) is:

\text{deg}\ q (x)=5

The difference of the degrees of the polynomials p (x) and q (x) is:

\text{deg}\ p(x)-\text{deg}\ q(x)=6-5=1

Thus, the difference of the degrees of the polynomials p (x) and q (x) is 1.

6 0
3 years ago
My dad is 5ft8 my mom is 5ft5 I am between 4ft11 and 5ft0 how tall will I be later on im a boy btw
coldgirl [10]

Answer:

There is no way to tell

Step-by-step explanation:

You could be way taller than your parents, the same height, or shorter. There are too many variables at play here.

7 0
3 years ago
What is the image of (-2,9)after a dilation by a scale factor of 5 centered at the origin?
asambeis [7]

Answer:

(- 10, 45 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor, that is

(- 2, 9 ) → (- 2 × 5, 9 × 5 ) → (- 10, 45 )

7 0
3 years ago
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