2x + 4y = 14
4x + y = 20......multiply by -4
----------------
2x + 4y = 14
-16x - 4y = -80 (result of multiplying by -4)
---------------add
-14x = -66....as u can see, ur y's cancel out
so ur answer is : 1st answer choice <==
** and just so u know, u could have multiplied the 1st equation by -2, and it would have cancelled out ur x's
Answer:
38 5/28
Step-by-step explanation:
Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.
Find the LCD (Least Common Denominator) of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)
LCD = 28
21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is
converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7
Applying the fractions formula for addition,
(99×7) + (94×4) / 4×7
= 693+376 / 28 =
= 1069/ 28
Simplifying 1069/28, the answer is
= 38 5/28
And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example
38 5/28.
28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!
Hope this helps! (sorry I took so long)
~R.C aka dj
Answer:
Step-by-step explanation:
A) 5x = 3(x - 2.5)
-----------------------
B)
Distribute
5x = 3x - 7.5
Subtract 3x from both sides
2x = -7.5
Divde both sides by 2
x = -3.75
-----------------------
C)
5 * (-3.75) = 3(-3.75 - 2.5)
-18.75 = -18.75
D)
Tanya paid –$3.75 for each of 5 items
Tony paid –$6.25 for each of 3 items
There seems to be an error in the question since the cost of items is negative
Tony bought fewer items and paid less for each.
Answer:
4.987 in
Step-by-step explanation:
Volume of a cube= (where x= side)
x³
we know that
124=x³
∛124=x
x=4.986630952 which rounds to
4.987
Answer:
a
Step-by-step explanation: cause