Answer:
x = 5
, y = 3
Step-by-step explanation:
Solve the following system:
{3 x + 4 y = 27 | (equation 1)
5 x - 3 y = 16 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 3 y = 16 | (equation 1)
3 x + 4 y = 27 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{5 x - 3 y = 16 | (equation 1)
0 x+(29 y)/5 = 87/5 | (equation 2)
Multiply equation 2 by 5/29:
{5 x - 3 y = 16 | (equation 1)
0 x+y = 3 | (equation 2)
Add 3 × (equation 2) to equation 1:
{5 x+0 y = 25 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 5 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 5
, y = 3
Percent means parts ot of 100
10%=10/100=1/10
'of' means mutily
10% of what=14
1/10 times what=14
mutiply both sides by 10
what=140
the number is 140
Answer: Distributive property a(b+c) = ab + ac
-5(7)x + 7(7) = -35x + 49 (D)
N 19)
angle (21x+6) is equal angle 90°-----> by alternate exterior angles
so
21x+6=90--------> 21x=84----------> x=4°
the answer N 19) is 4 degrees
N 20)
angle 75 is equal angle 11x-2-----> by corresponding angles
so
11x-2=75-----> 11x=77--------> x=7°
the answer N 20) is x=7 degrees
N 21)
angle 60 is equal angle (8x-4)------> by alternate interior angles
so
8x-4=60-----> 8x=64--------> x=64/8-----> x=8°
the answer N 21) is x=8 degrees
N 22)
angle (x+139) is equal to angle 132-----> by alternate interior angles
so
x+139=132-------> x=132-139--------> x=-7 °
the answer N 22) is x=-7 degrees
N 23)
angle (-1+14x) is equal to angle (12x+17)----> by alternate exterior angles
so
-1+14x=12x+17------> 14x-12x=17+1----> 2x=18----> x=9
the answer N 23) is x=9 degrees
N 24)
angle (23x-5) is equal to angle (21x+5)----> by corresponding angles
so
23x-5=21x+5-----> 23x-21x=5+5-----> 2x=10-----> x=5
the answer N 24) is x=5 degrees
N 25)
angle (x+96) and angle (x+96)-------> are supplementary angles
so
x+96+x+96=180--------->2x+192=180------> x=-6°
the angle indicated in bold is (-6+96)=90°
N 26)
angle (20x+5) and angle (24x-1)-------> are supplementary angles
so
20x+5+24x-1=180------> 44x=176-----> x=4°
the angle indicated in bold is (20*4+5)=85°
N 27)
angle (6x) is equal to angle (5x+10)--------> by corresponding angles
so
6x=5x+10------> 6x-5x=10------> x=10
the angle indicated in bold is (6*10)=60°
N 28)
angle (x+109) and angle (x+89) are supplementary angles
so
x+109+x+89=180----> 2x=-18-------> x=-9
the angle indicated in bold is (x+89)----> -9+89=80°
Box A is 4. 4 is 5% of the total boxes.
5% = 1/20, so multiply whatever number that's 5% of the total by 20 to get the total.
4 x 20 = 80.
There are 80 marbles total.
Hope this helps!