Mathematics, 12.02.2020 07:07, zah16

Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. Write a system of equations that could be used to determine the number of math problems Olivia solved and the number of pages she read. Define the variables that you use to write the system

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answered: cooltez100

The system of equations obtained from the given information are x + y = 22 and x + 1.5y = 30 respectively.

Given data:

Time taken by Olivia to solve a problem is 1 minute.

Time to read one page is 1.5 minutes.

Number of problems completed is, 22 problems.

Total time used for reading is, 39 minutes.

Use the data to consider:

Let x be the the number of math problems that Olivia solved.

Let y be the number of pages that Olivia read.

As, Olivia completed a total of 22 math problems and pages of reading. This means that

x + y = 22 (1)

Also, Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

x + 1.5y = 30 (2)

Thus, we can conclude the the system of equations obtained from the given information are x + y = 22 and x + 1.5y = 30 respectively.

Learn more about the system of linear equations here:

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answered: seddy86

the system of equations are

x + y = 22

x + 1.5y = 30

Step-by-step explanation:

Let x represent the number of math problems that Olivia solved.

Let y represent the number of pages that Olivia read.

Olivia completed a total of 22 math problems and pages of reading. This means that

x + y = 22- - - - - - - - - - - - - - -1

Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

x + 1.5y = 30 - -- - - - - - - - - -2

answered: Guest

Don’t worry about it

answered: Guest

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

= $\sqrt{(9-6)^{2} +(12-6)^{2} } \\=\sqrt(45)=3\sqrt(5)$

side j'k'=distance between j' and k'

= $\sqrt{(3-2)^{2} +(2-4)^{2} } \\=sqrt(5)$

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she...