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Marizza181 [45]
4 years ago
13

Need help with this one please answer fast

Mathematics
1 answer:
slega [8]4 years ago
6 0
15 divide 8 is 1.87 or 2.00 and 31 divide 11 is 2.81 or 3.00
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A sample of a radioactive isotope had an initial mass of 730 mg in the year 2000 and
Mila [183]

Answer:

102

Step-by-step explanation:

8 0
3 years ago
What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?
malfutka [58]

Answer:

6.

Step-by-step explanation:

A line that goes through (x_{0},\, y_{0}) and (x_{1},\, y_{1}) where x_{0} \ne x_{1} would have a slope of m = (x_{1} - x_{0}) / (y_{1} - y_{0}).

The slope of the line that goes through (8,\, 4) and (-1,\, 1) would thus be:

\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}.

Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is (-1).

Thus, if m_{1} and m_{2} denote the slope of the first and second lines in this question, m_{1}\, m_{2} = (-1) since the two lines are perpendicular to one another. Since m_{2} = (1/3), the slope of the first line would be:

\begin{aligned} m_{1} &= \frac{(-1)}{m_{2}} \\ &= \frac{(-1)}{(1/3)} \\ &= (-3)\end{aligned}.

Given that the first line goes through the point (1,\, 0), the point-slope equation of that line would be:

(y - 0) = (-3)\, (x - 1).

y = -3\, x + 3.

Substitute in x = (-1) to find the y-coordinate of the point in question:

y = -3\times  (-1) + 3 = 6.

4 0
3 years ago
7. Marie can make 12 small mango pies for every 10 mangoes. How many pie
Marysya12 [62]

Answer:

D. <em>Marie can make 60 pies</em>.

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. <em>Marie can make 30 pies</em>.

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

x = 25\,mangoes

25 mangoes are required for producing 30 pies.

B. <em>Marie can make 40 pies</em>.

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

x = 33.333\,mangoes

34 mangoes are required for producing 40 pies.

C. <em>Marie can make 50 pies</em>.

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

x = 41.667\,mangoes

42 mangoes are required for producing 50 pies.

D. <em>Marie can make 60 pies</em>.

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

x = 50\,mangoes

50 mangoes are required for producing 60 pies.

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

Hence, correct answer is D.

8 0
3 years ago
Kala found four pieces of wire in her tool drawer. Here are their lengths (in centimeters).
artcher [175]

Answer:

38.81

Step-by-step explanation:

Add the lengths, easiest way to do it is vertically

19.

01.01

08.5

10.3

add digits to total 38.81

7 0
3 years ago
A line passes through (2, −1) and (4, 5).
liberstina [14]
The answer to the first question is B
The second question is B
7 0
3 years ago
Read 2 more answers
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