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Kay [80]
3 years ago
9

Which of the following numbers does the 5 have a greater value 0.5 b. 0.05 c. 0.005 d. 0.15

Mathematics
2 answers:
il63 [147K]3 years ago
8 0

Answer:

a

Step-by-step explanation:

Gennadij [26K]3 years ago
7 0
A) 0.5 would be the greater number out of them all.
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(Hehe...Please ignore the markings)
inysia [295]

Answer:

See below:

Step-by-step explanation:

Problem 1:

Multiply Equation 1 by 4, keep Equation 2 the same.

x+y=8, multiply each term by 4:

4*x=4x, 4*y=4y, 8*4=32

so, the equivalent system is: 4x+4y=32 and x-y=2

Solve the system of equations:

x-y=2 becomes x=y+2

plug into 4x+4y=32 to solve for y

4(y+2)+4y=32---> 4y+8+4y=32--->8y=24---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 1 Answer:

Equivalent system: 4x+4y=32, x-y=2; solution: x=5, y=3

Problem 2:

Keep Equation 1 the same. Add 1 and 2.

To add an equation, add the left sides together, and then the rights.

so: x+y=8 + x-y=2 gives us: 2x=10

solve for x ---> 2x/2=10/2--->x=5

plug x into x+y=8--->5+y=8--->y=3

Problem 2 answer:

Equivalent system: x+y=8, 2x=10; solution:x=5, y=3

Problem 3:

Subtract Equation 2 from 1, and keep 2 the same.

To subtract an equation, subtract the left sides, then the rights. We are subtracting 1<em> from </em>2, so its 2-1.

x-y=2 - x+y=8 gives us: -2y=-6

Solve for y by dividing by -2-->-2y/-2=-6/-2---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 3 answer:

Equivalent system: -2y=-6, x-y=2; solution: x=5, y=3

Problem 4:

Multiply the sum of Equation 1 and 2 by a factor of 3. Keep equation 2 the same.

First we add 1 and 2: (we did this earlier) ---> 2x=10 ---> now we multiply it all by 3---> 2x*(3)=10*(3)---> this gives us: 6x=30---> now divide by 6 to solve for x: 6x/6=30/6 gives us: x=5

Now, solve for y by plugging x into equation 2: x-y=2---> 5-y=2--->y=3

Problem 4 answer:

Equivalent system: 6x=30, x-y=2; solution: x=5, y=3

______

Quick Tip: One thing inherent of Equivalent systems is that they have the same set of solutions. Thus, we know the systems are equivalent when they have the same set of solutions for x and y. Moreover, you don't need to solve every time after you attempt to find an equivalent system, instead, just plug in the values found in problem 1 to each new set of equations to test if they are equivalent.

If we find x=5 and y=3 for x+y=8 and x-y=2, then all we have to do is plug them in to 6x=30 and -2y=-6 to see if they are equivalent.

6(5)=30 ---> true

-2(3)=-6 ---> true

3 0
3 years ago
Zoey bought m mangos for $.55 each an a apples for $.89 each. She spent .55m+.89a dollars. What does .55m represent?
svp [43]
The total cost of each mango.
8 0
3 years ago
When Gerald started on his trip, his odometer read 109,875. At the end of his trip it read 110,480. How many miles did he travel
ozzi
Gerald traveled 605 miles. In order to get this answer you subtract 109,875 from 110,480.
6 0
3 years ago
2 Are 3(x – 4) – 2(2.5x - 1) and -2(x + 5) equivalent expressions?
Bogdan [553]

Answer:

<u>Equivalent expressions</u>

Step-by-step explanation:

3(x – 4) – 2(2.5x - 1)

3x - 12 -5x +2

<u>-2x - 10</u>

and -2(x + 5)

<u>-2x - 10</u>

<u></u>

<u>Yes, They are Equal</u>

8 0
2 years ago
Which tool would you use to measure the mass of a mobile phone
iragen [17]
<span>Since on the Earth, mass = weight, you can use a scale.


hope that helped</span>
6 0
3 years ago
Read 2 more answers
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