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2 years ago

for every 5 coins carmen gets, she gives 2 to her brother Frankie. If carmen has 9 coins, how many does frankie have?

1 answer:

7 0

Since Carmen gives two coins to Frankie for every five that she gets, she effectively only gains 3 coins at a time. Therefore, if she has 9 coins, Frankie must have 6.

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Solve the system of equations.<br> - 5x + 2y = 9

Marina CMI [18]

Answer: -5x + 2y -9 = 0

Step-by-step explanation:

1. Move constant to the left and change its sign

2. Change the signs on both sides of the equation

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2 years ago

Sam has some red and yellow cubes. She has 20 cubes in total. She has 8 more yellow cubes than red ones. How many red cubes does

Radda [10]

Answer:

Step-by-step explanation:

because if she has 8 more red cubes that yellow than that would mean it would become 12

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2 years ago

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The mapping diagram shows a functional relationship

Gre4nikov [31]

Answer:

$f(4)=\frac{1}{2}$

f(x) = 4 when x is 8

Step-by-step explanation:

Domain is the set of x values that make the function defined. Allowed x values for the function (mapping).

The Range is the set of y values that make the function defined. Allowed y values for the function (mapping).

Whenever we need to find f(a), suppose, then we look for "a" in the domain and see its corresponding value mapping in the range.
Whenever we will be given a value for f(x) = a, suppose, and we have to find "x", we look at the value a in the range and find corresponding x value in the domain.

Firstly, we need f(4), so we look for "4" in domain and see which number it corresponds to in range.

That is $\frac{1}{2}$

Thus,

$f(4)=\frac{1}{2}$

Next,

We want "x" value that gives us a "y" value of 4. We look for "4" in the range and see which value it corresponds to. That is "8". So,

f(8) = 4

8 0

2 years ago

There were 8 judges at a gymnastics competition. Kathleen received these scores for her performance on the uneven parallel bars.

Korolek [52]

Answer:

below

Step-by-step explanation:

mean : 8.8

The mean is the average, so you find it by adding all the numbers together and dividing by n, or how many numbers there are. For this, I added to get 70.4 and divided that by 8 (8 total scores).

70.4/8 = 8.8.

median : 8.85

The median is the middle of the data set, so you put the numbers in increasing order (lowest number to highest number) and then finding the middle of that set. For this set, since there is an even number of numbers (8), you have to find the middle by adding the two middle numbers and dividing by 2.

8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2

The middle numbers are 8.8 and 8.9, so you add those together and divide by 2 to get 8.85.

mode : 8.9

The mode is just what number appears most often. Because 8.9 appears three times in this data set, more than any other number, the mode is 8.9.

b. The mean reflects a typical score because it is the average, and is used most often when someone is expressing a typical or "average" score. It is the score most people are likely to get, and as there are no outliers in this data set, it reflects a typical score for this data set. It is also the same as the mode, or most often score, in this data set.

6 0

2 years ago

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Suppose r(t)= cos(t)i+sin(t)j+(2t)k represents the position of a particle on a helix, where Z is the height of the particle abov

Gwar [14]

Answer:

The parametric equations for the tangent line are :

x = Cos(10) - t×Sin(10)

y = Sin(10) + t×Cos(10)

z = 20 + 2t

Step-by-step explanation:

When Z=20:

Z=2t=20 ⇒ t=10

The point of tangency is:

r(10)= Cos(10) i + Sin(10) j + 20 k

We have to find the derivative of r(t) to get the tangent line:

r'(t)= -Sin(t) i + Cos(t) j + 2 k

The direction vector at t=10 is:

r'(10)= -Sin(10) i + Cos(10) j + 2 k

So, the equation of the tangent line is given by:

x = cos 10 -t×Sin(10)

y = sin 10 + t×Cos(10)

z = 20 + 2t

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2 years ago