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3 years ago

MODELING REAL LIFE A cell phone company charges a

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

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Step-by-step explanation:

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BARSIC [14]3 years ago

6 0

First subtract 59.5 - 30 = 29.5 this is the amount that was paid for text messages. Then divide 29.5 / .25 = 118 text messages.

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7. Marie can make 12 small mango pies for every 10 mangoes. How many pie

Marysya12 [62]

Answer:

D. Marie can make 60 pies.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. Marie can make 30 pies.

$x = \frac{10\,mangoes}{12\,pies}\times 30\,pies$

$x = 25\,mangoes$

25 mangoes are required for producing 30 pies.

B. Marie can make 40 pies.

$x = \frac{10\,mangoes}{12\,pies}\times 40\,pies$

$x = 33.333\,mangoes$

34 mangoes are required for producing 40 pies.

C. Marie can make 50 pies.

$x = \frac{10\,mangoes}{12\,pies}\times 50\,pies$

$x = 41.667\,mangoes$

42 mangoes are required for producing 50 pies.

D. Marie can make 60 pies.

$x= \frac{10\,mangoes}{12\,pies}\times 60\,pies$

$x = 50\,mangoes$

50 mangoes are required for producing 60 pies.

The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.

Hence, correct answer is D.

8 0

3 years ago

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)

Nata [24]

Answer:

$a_{i} = \frac{(-3)^{i}}{4\cdot i!}$ converges.

Step-by-step explanation:

The convergence analysis of this sequence is done by Ratio Test. That is to say:

$r = \frac{a_{n+1}}{a_{n}}$ , where sequence converges if and only if $|r| < 1$ .

Let be $a_{i} = \frac{(-3)^{i}}{4\cdot i!}$ , the ratio for the expression is:

$r =-\frac{3}{n+1}$

$|r| = \frac{3}{n+1}$

Inasmuch $n$ becomes bigger, then $r \longrightarrow 0$ . Hence, $a_{i} = \frac{(-3)^{i}}{4\cdot i!}$ converges.

5 0

4 years ago

Corresponding range of Celsius temperature C

julsineya [31]

By rearranging the equation, we find that 45 = 9/5 C +32 and 85 = 9/5 C +32
Therefore the answer is, 7.22 < C < 29.44

6 0

3 years ago

Read 2 more answers

Simplify 7/10 - 1/10

RSB [31]

Answer:3/5

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

What is the sum of the polynomials? (8x2-9y2-4x)+(x2-3y2-7x)

White raven [17]

The sum of the polynomials (8x²-9y²-4x)+(x²-3y²-7x) is:

1. You must add the terms whose variables and exponents are the same.
2. Let's rewrite the polynomials:

(8x²-9y²-4x)+(x²-3y²-7x)
8x²-9y²-4x+x²-3y²-7x
(8+1)x²+(-4-7)x+(-9-3)y²

3. Therefore, the result is:

9x²-11x-12y²

3. What is the sum of the polynomials?

The answer is: 9x²-11x-12y²

3 0

3 years ago