Answer:
<h2>10 weeks </h2>
Step-by-step explanation:
Step one:
given data
Ryan
number of baseball cards=150
number collected per week= 10
let the number of weeks be x
and the total be y
y=10x+150-----------------1
Sarah
number of baseball cards=200
number collected per week= 5
let the number of weeks be x
and the total be y
y=5x+200------------2
Step two:
Required
the number of weeks where both total will be the same
10x+150=5x+200
10x-5x=200-150
5x=50
divide both sides by 5
x=50/5
x=10 weeks
Answer:
Slope(m)=-1
Step-by-step explanation:
Answer:
The integers could be 21 and 22
or -22 and -21
Step-by-step explanation:
If two integers are consecutive, then it means that their difference is just 1
if we have the initial value as x , then the other value could be x-1 or x + 1
let us go with x-1
So the product here is;
x(x-1) = 462
x^2-x = 462
x^2 -x -462 = 0
x^2 -22x + 21x - 462 = 0
x(x-22) + 21(x-22) = 0
(x + 21)(x-22) = 0
x = -21 or x = 22
If x = -21
x -1 = -21-1 = -22
if x = 22
x -1 = 22-1 = 21
I hope this helps you feel free to contact me
Answer:
See explanation
Step-by-step explanation:
<u>Step 1.</u> Substitute for d to solve for n:
From the first equation:

Then substitute it into the second equation:

<u>Step 2:</u> Substitute for n to solve for d:

There are 40 dimes and 30 nikels in the piggy bank