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Murrr4er [49]
3 years ago
7

Can some one explain and help me and answer it

Mathematics
1 answer:
brilliants [131]3 years ago
4 0

Answer

Sal spent 43 minutes jogging per day last week.

Elena spent 45 minutes jogging per day last week.

Step-by-step

Part 1: Find the number of minutes Sal jogged.

1. Find the number of minutes out of the week that were spent jogging.

240 - 25 = 215

Sal spent 215 minutes jogging.

2. Find the number of minutes per day he spent jogging.

215 / 5 = 43

Sal spent 43 minutes jogging per day last week.

Part 2: Find the number of minutes Elena jogged.

1. Find the number of minutes out of the week that were spent jogging.

300 - 15(5) = 300 - 75 = 225

Elena spent 225 minutes jogging.

2. Find the number of minutes per day she spent jogging.

225 / 5 = 45

Elena spent 45 minutes jogging per day last week.

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You would use order or operations to solve this problem

4 to the second power is 16 -------> 12+16= 28


Your answer would be 28

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A drawer contains quarters and nickels. There are 200 total coins valuing $30.00. Think about a system of equations that can be
Margaret [11]

Answer:

100

Step-by-step explanation:

Let n and q represent the numbers of nickels and quarters, respectively. A suitable system of equations is ...

  n + q = 200 . . . . . . there are 200 coins in the drawer

  5n +25q = 3000 . . .their value is $30.00

For mixture problems like this, it is often a good idea to substitute for the variable representing the contributor of lower value. That is, we want to write an expression for n that we can use for substitution.

Using the first equation to solve for n, ...

  n = 200 - q

Substituting this into the second equation gives ...

  5(200 -q) +25q = 3000

  1000 +20q = 3000 . . . . . . simplify

  20q = 2000 . . . . . . . . . . . . subtract 1000

  q = 100 . . . . . . . . . . . . . . . . divide by 20

  n = 200 -q = 100 . . . . . . . . the number of nickels, as we want

_____

<em>Comment on the solution</em>

We solved for q, then had to do an extra step to find the value of n that the problem asks for. Had we written q = 200-n and used that for substitution, we would have ended with the equation -20n = -2000. This would give the answer for n directly (with no additional steps required).

Sometimes working with negative numbers is uncomfortable or results in errors, so we chose to use the solution method that would avoid negative numbers.

___

<em>Comment on the problem statement</em>

We are told about coins in a <u>drawer</u>, and we are asked about coins in a <u>jar</u>. There is not enough information to answer the question asked. We have had to assume that both refer to the same quantity of coins—an assumption that is not supported by anything in the problem statement.

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Which matrix equation represents this linear system?<br> <img src="https://tex.z-dn.net/?f=2x-7y%3D-1%5C%5Cx%2B3y%3D-5" id="TexF
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Answer:

The answer is the letter B.

The first column represents the x-values, and the second row represents the y-values.

For that reason, if we have:

2x - 7y = -1

x + 3y = -5

Then, the matrix will be given by:

[ 2      -7

 1        3]

Then, the third colum will be the equality:

[ -1

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So the correct option is the letter B.

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The image represents what geometric construction? A) Copy a triangle construction B) Copy a segment construction C) Parallel lin
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Answer:

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Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).
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A line segment can be divided into ratios.

<em>The coordinate of P on line segment AB is (5,1)</em>

Given

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So, from P to B would be:

P_B =1 -  \frac 23

P_B = \frac 13

So, the ratio is:

m : n = \frac 23 : \frac 13

Simplify

m : n = 2 :1

<u>The coordinate of point P is:</u>

P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

So, we have:

P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})

P = (\frac{15}{3},\frac{3}{3})

P = (5,1)

<em>Hence, the coordinate of P is (5,1)</em>

Read more about line ratios at:

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