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ad-work [718]
3 years ago
10

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 m

inutes. 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
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer: 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

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n200080 [17]

Answer:

what is this?

Step-by-step explanation: you need to give use a better exlanation of the problem

5 0
3 years ago
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What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both ex
Anit [1.1K]

Answer:

Both expressions equal 5 when substituting 2 for x because both expressions are equivalent

Step-by-step explanation:

Given

\frac{1}{2}x + 4 - Expression 1

x + 6 - \frac{1}{2}x - 2 -- - Expression 2

Required

Find the result of both expressions when x = 2

<em>Expression 1</em>

\frac{1}{2}x + 4

Substitute x = 2

\frac{1}{2} * 2 + 4

1 + 4

Result = 5

<em>Expression 2</em>

x + 6 - \frac{1}{2}x - 2

Substitute x = 2

2 + 6 - \frac{1}{2} * 2 - 2

2 + 6 -1 -2

Result = 5

7 0
3 years ago
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the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the to
Tcecarenko [31]

Answer:

30.51 meters

Step-by-step explanation:

Given that:

The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.

According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:

\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}

Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°

Also let the  distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B

To find B, since the angle between the height of the tower and the base is 90°, we use:

B + 36° + 90° = 180° (sum of angles in a triangle)

B + 126 = 180

B = 180 - 126

B = 54°

Therefore using sine rule:

\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\  a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters

The height of the tower is 30.51 meters

6 0
3 years ago
PLease help, I need this in 2 minutes!<br><br> y÷2.3+5.69=7.58
oksano4ka [1.4K]

Answer:

y=4.347

Step-by-step explanation:

To solve for y in the equation:

\dfrac{y}{2.3}+5.69 =7.58

First, subtract 5.69  from both sides

\dfrac{y}{2.3}+5.69-5.69 =7.58-5.69\\\dfrac{y}{2.3}=1.89\\$Cross Multiply\\y=1.89 X 2.3\\y=4.347

8 0
4 years ago
the quotient when Sarah divided a number by 5 was 247 with a remainder.What is one possible dividend and explain how you find it
masha68 [24]

hello :

let : a the dividend

you have : a = 5×247 + R ....  R is the remainder

when divided a by 5   :  R  = 0  ,  R = 1 , R  =2  , R  = 3  , R  = 4

R  = 0     : a = 5×247 + 0  = 1235

 R  = 1     : a = 5×247 + 1  = 1236

R  = 2     : a = 5×247 + 2   = 1237

R  = 3     : a = 5×247 + 3  = 1238

R  = 4     : a = 5×247 + 4  =  1239

5 0
3 years ago
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