Answer:
x=−7/5and y=−6/5
Step-by-step explanation:
Step: Substitute−2x−4foryiny=3x+3:
y=3x+3
−2x−4=3x+3
−2x−4+−3x=3x+3+−3x(Add -3x to both sides)
−5x−4=3
−5x−4+4=3+4(Add 4 to both sides)
−5x=7
−5x
−5
=
7
−5
(Divide both sides by -5)
x=−7/5
Answer:
20kg of 25% copper alloy
30kg of 60% copper alloy
Step-by-step explanation:
There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.
A+B = 50
A= 50-B
Let's put the first equation into the second.
0.25A + 0.6B = 0.46 *50
0.25(50-B) + 0.6B =23
12.5 - 0.25B + 0.6B =23
0.35B=23 -12.5
B= 10.5/ 0.35= 30
Then we can solve A
A= 50-B
A= 50-30
A=20
Bse is 10
x^m, x is base of exponent
Answer:
see below (I hope this helps!)
Step-by-step explanation:
41. √20 = √4 * 5 = √4 * √5 = 2√5
43. The sum of interior angles in a triangle is 180°, therefore, x = 180 - (75 + 64) = 41°.
45. 15 + 5(2x - 3) = 15 + 5(2x) + 5(-3) = 15 + 10x - 15 = 10x
47. Complementary angles have a sum of 90°, therefore, x = 90 - 48 = 42°.
503 x 3 = 1509
But, it you want to estimate it I would say 1500.
