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3 years ago

Patricia is 5 years older than Wyatt. The sum of their ages is 61. How old are Patricia and Wyatt?

Mathematics

2 answers:

baherus [9]3 years ago

4 0

Answer

w+(w+5)=61

Step-by-step explanation:

makvit [3.9K]3 years ago

3 0

Answer:

an answer could be Patricia is 33 and wyatt is 28 so x=33

Step-by-step explanation:

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"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

erastovalidia [21]

Answer:

The exam can be answered with exactly 8 answers correct in 6435 ways.

Step-by-step explanation:

The order is not important.

For example, answering correctly the questions 1,2,3,4,5,6,7,8 is the same outcome as answering 2,1,3,4,5,6,7,8. So we use the combinations formula to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

Combinations of 8 questions from a set of 15. So

$C_{15,8} = \frac{15!}{8!(15-8)!} = 6435$

The exam can be answered with exactly 8 answers correct in 6435 ways.

5 0

3 years ago

The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}$

$EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}$

$FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}$

$DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}$

Slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of DE,

$m_1=\frac{4-5}{2+2}= \frac{-1}{4}$

Slope of EF,

$m_2=\frac{0-4}{0-2}= 2$

Slope of FG,

$m_3=\frac{1-0}{-4-0}= \frac{-1}{4}$

Slope of DG,

$m_4=\frac{1-5}{-4+2}= 2$

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0

3 years ago

Read 2 more answers

For Restaurant A, the owner wants to advertise a good cleanliness score to his customers. Which measure would make his score see

Semenov [28]

Answer:

median

Step-by-step explanation:

the median would make the score as good as possible, because there could be possible outliers. this really depends on if there are outliers or not. here is an example of what i need:

say you are trying to show your parents your grades:

here are your scores:

38, 88, 90, 91, 93, 95, 100

the median would be 91, which looks better.

the mean would be 85.

even though a <em>majority</em> of your grades are good, the one 38 makes the average go down. therefore, the median is a better advertiser.

8 0

3 years ago

1+1 abcdefghijklmnopqrstuvwxyandz

skad [1K]

Answer:2

Step-by-step explanation: two 1 equal one 2

3 0

3 years ago

Read 2 more answers

Help !!!!!!!!!!!!!!!!!!!!!

tankabanditka [31]

Answer:

I think the equation that best represent the relationship between r and s is A. s=1/6r

3 0

3 years ago