Rachel buys 30 nuts and bolts to finish a project. if each but costs 10 cents, each bolt costs 20 cents and the total purchase price is $4.20, how many nuts and bolts does she buy?

12 bolt 18 nuts

Step-by-step explanation: (Elimination method)

N=nuts

B=bolts

B + N = 30

0.20B + 0.10N = 4.20

20B+10N=420 (I multiplied by 10 to eliminate decimals

I  will multiply the first  by (-10)

-10B  -10N =-300

20N +10N=420

10B+0 = 120

B=12 (12 BOLT)

30-12 =18   (8 NUTS)

12*0.20=2.40

18*0.10=1.80

2.40+ 1.80 = 4.20

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d