Answer:
b= -5
Step-by-step explanation:
-10(10+b)=5(3b+5)
Distribute
-100 -10b = 15b +25
Add 10b to each side
-100-10b+10b = 15b+10b +25
-100 = 25b+25
Subtract 25 from each side
-100-25 = 25b+25-25
-125 = 25b
Divide by 25
-125/25 =25b/25
-5 =b
The rule is n-4;
163 - 4 = 159
159 - 4 = 155
155 - 4 = 151
151 - 4 = 147
A quick way to solve this is to mutliply 4 by 23 and subtract the product from the 1st term.
23 x 4 = 92
163 - 92 = 71
The 23rd term is 71.
I hope this helps!
Answer:
A) 13
Step-by-step explanation:
l // m
9x + 10 = 127
9x = 117
x = 13
Answer:
a makes sense to me
Step-by-step explanation:
Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
