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MaRussiya [10]
2 years ago
7

2. It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work four days per week. He buys a bo

ttle of water that costs $1.45 on his way to work each day. How much does it cost Edgar to ride the bus and buy water for one week?
Mathematics
1 answer:
Maurinko [17]2 years ago
6 0
$27

2.65 x 2 (since he has to go both to and from work each day) = $5.30
Add the daily cost of the water bottle (1.45) to make his total cost for one day, which is 6.75
Multiply this number by 4 (because he goes 4 days a week) to get $27 for one week.
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Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

5m=30

m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0
3 years ago
The product od 2 and y is at least 10
alexgriva [62]
Hello There!

It could be represented by this:
xy \geq 10

Hope This Helps You!
Good Luck :) 

- Hannah ❤
8 0
3 years ago
Anyone help please I need it
andreev551 [17]

Answer:

-10+i\sqrt{2}

Step-by-step explanation:

One is given the following expression:

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (\sqrt{}) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (\sqrt{-1}=i). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

Take factors from out of under the radical:

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

2-7i\sqrt{2}-12+8i\sqrt{2}

Simplify,

-10+i\sqrt{2}

8 0
2 years ago
which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel
CaHeK987 [17]
1) True that line x = 0 is perpedicular to y = -3. Because x = 0 is parallel to the y-axis and y = -3 is parallel to the x-axis.

2) True that all the lines that are parallel to the y-axis are vertucal lines (the y-axis is vertical)

3) False that all lines perpendicular to the x-axis have a slope o 0. Their slope trends to infinity.

4) False that the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. The right equation is y = - 6

5) True thath the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1
4 0
3 years ago
Read 2 more answers
Quiero saber como se resuelve este problema ? 6+2-a3
Andreyy89
Answer: 8-a^3
You just simply the expression.
6 0
3 years ago
Read 2 more answers
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