Answer:
1.) B. -7+8n; 2.) 15; 3.) 20.25; 4.) x=28 and y=32.
Step-by-step explanation:
1.) Simplifying our expression,
-3.5(2-3n)-2.5n
Use the distributive property:
-3.5(2)-3.5(-3n)-2.5n
-7+10.5n-2.5n
Combine like terms:
-7+8n
2.) Allen worked out for 360 minutes over 6 days. This is 360/6 = 60 minutes per day.
He rode his bike for 45 minutes each day; this leaves
60-45 = 15 minutes for jogging each day.
3.) Marla spent a total of $67.50. $27 of this was for the necklace; that leaves
67.50-27 = 40.50 for the two bracelets. This means each one is
40.50/2 = 20.25.
4.) For equation 1:
3/4(x-12)=12
Use the distributive property:
3/4(x)-3/4(12) = 12
3/4x-3/4(12/1) = 12
3/4x-(3*12)/(4*1) = 12
3/4x-36/4 = 12
3/4x-9 = 12
Add 9 to each side:
3/4x-9+9 = 12+9
3/4x = 21
Divide both sides by 3/4:
3/4x÷3/4 = 21÷3/4
x = 21/1÷3/4
To divide fractions, flip the second one and multiply:
x = 21/1×4/3
x = 84/3 = 28
For Equation 2:
3/4y-12 = 12
Add 12 to each side:
3/4y-12+12 = 12+12
3/4y = 24
Divide both sides by 3/4:
3/4y÷3/4 = 24/1÷3/4
y = 24/1×4/3
y = 96/3 = 32
