Solve each of the following equations that include brackets: 3(2d-9)+5d=17, and 8c-4(c+3)=8

ANSWER:  

After solving the equations, values of d and c are 4, 5.

SOLUTION:

Given, two equations are 3(2d-9) + 5d = 17, and 8c - 4(c+3) = 8.  

Now, let us solve the first equation.

3(2d-9) + 5d=17  

On multiplying the terms within the bracket, we get

3 × 2d – 3 × 9 + 5d = 17

6d – 27 + 5d = 17

11d = 17 + 27

11d = 44

d = 4

Now, let us solve the second equation.

8c - 4(c+3) = 8

On multiplying the terms within the bracket, we get

8c – 4 × c – 4 × 3 = 8

8c – 4c – 12 = 8

4c = 8 + 12

4c = 20

c = 5

Hence, after solving the equations , values of d and c are 4, 5.

answer: -1

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!