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gavmur [86]
3 years ago
14

Please help find the value of the expression and show work thank you

Mathematics
2 answers:
Rama09 [41]3 years ago
8 0
First we need to find the least common multiple of the denominators.

40 is is divisible by 8, 5, and 4, so we will use it as our common denominator.

Then we need to multiply the numerators by the same amount we had to multiply each denominator by to get 40.

For example, 8 is the denominator of the first fraction. To make it 40, we multiply by 5. We need to also multiply the numerator 3 by the same 5 to keep the fraction the same. So the 3 becomes 3*5 = 15.

The numerators in order after doing this are 15, -32, -15, and 50. Now add these add.

15-32-15+50 = 18.

Put this sum over the common denominator to get the final answer.

18/40 which can be simplified to 9/20.

The answer is 9/20





yanalaym [24]3 years ago
8 0
3/8+(-4/5)+(-3/8)+5/4

Remember a positive and a negative will be negative.

=3/8-4/5-3/8+5/4

Now you need a common denominator for all of them, but if you notice that 3/8-3/8=0, you are left with:
=-4/5+5/4

5 and 4 both go into 20. So your common denominator is 20. 5 goes in to 20 four times (so 4*4=16 =16/20).
4 goes in to 20 five times (so 5*5=25/20).

Remember 4/5 was negative:
=-16/20+25/20
=9/20

9 and 20 do not have any common factors, so this is the answer.

Hope this helps!! :)
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Y= - 2x + 4<br> 2x + y = 4
Tomtit [17]

Answer:

Infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -2x + 4

2x + y = 4

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  2x + (-2x + 4) = 4
  2. Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

7 0
3 years ago
Read 2 more answers
How do I get the answer for #2. What’s the equation to get to the answer please?
Snezhnost [94]

Answer:

GED=2FED. Multiply by 2.

Step-by-step explanation:

The page says that the diagram is not to scale, and that EF bisects(cuts in half equally) GED. Don't go by what it looks like, FED and FEG are equal in size. So each one is 1/2 of GED.

5 0
3 years ago
A local tree farm is donating 50 trees. The students will plant some of the trees at the school and the rest at the library.
Alex17521 [72]

Answer:

6

Step-by-step explanation:

First you know they have <em>50 </em>trees. Then, you know <em>3</em> of <u>25</u> will die.

<u>25</u>*<u>2</u>=<em>50</em>. <em>3</em>*<u>2</u>=6.

8 0
3 years ago
Some of the students three scores is 231. If the first is 20 points more than the second, and the sum of the first two is 6 more
Aleks [24]

Answer:

The first score is 109

Step-by-step explanation:

I am assuming that in the first sentence of the question, you meant:

Sum of the students three scores is 231...

First, let the scores of the first second and third student be a, b and c respectively. We are told that:

a + b + c = 231 . . . . . . . .(1)         (sum of students three scores is 231)

a = b + 20 . . . . . . . . . . . (2)        (the first is 20 points more than the second)

a + b = 6c . . . . . . . . . . . .(3)        (sum of the first two is 6 more times the third)

required, find a.

substituting the value of (a + b) in equation (3) into equation (1), we will have the following:

since a + b = 6c . . . (3)

a + b + c = 231 . . . . . (1), becomes,

(a + b) + c = 231

(6c)  + c = 231

7c = 231 (divide both sides by 7)

c = 231 ÷ 7 = 33

∴ c = 33

Next, from equation (2), we know that a = b + 20; this can also be written as:

a - 20 = b

∴ b = a - 20 . . . . . . . (4)

Finally, putting the value of b in equation (4) and the value of c calculated above into equation 1, ( a + b + c = 231), we have the following:

a + (a - 20) + 33 = 231

(a + a) - 20 + 33 = 231

2a + 13 = 231

2a = 231 - 13 = 218

a = 218 ÷ 2 = 109

∴ a = 109

we can also calculate for 'b' by substituting for the value of 'a' in equation 4

b = a - 20 = 109 - 20 = 89.

and to test if the values of a, b and c are correct:

a + b + c = 231

109 + 89 + 33 = 231

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3 years ago
What is the perimeter of the figure?"
maksim [4K]

Answer:

14

Step-by-step explanation:

Perimeter= 4× 3.5 in

=14 in

5 0
3 years ago
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