40 miles per hour because 140 divided by 3.5 is 40.
Answer: Choice B) (24,10)
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Work Shown:
2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10
If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24
Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B
As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
Answer:
5 and 1/3 cups of water.
Step-by-step explanation:
Set up a proportion like this:
2:3 for the original recipe
Then a second proportion for the recipe Jacoby used:
w:8 (use w for the unknown water amount)
Set up an equation so that the proportions equal each other. It helps if you write them in fraction form:

Use cross multiplication to get the new equation:
8 x 2 (or 16) = 3w
Then, divide both sides by 3 to get the amount for w, or water, by itself:
5 and 1/3 = w
I hope this helps! ☺
Assuming that the 4.8% interest rate is an annual interest rate, then, after one year, with a principal of $3,000 we would be able to win 4.8% of $3000:

Divide 144 over 12 to find the monthly earnings:

Therefore, with a principal of $3,000 we would be earning $12 interest in 1 month.
For the earnings on the first month to be equal to $10, then you would have to win $120 annually, and $120 must be 4.8% of the principal. To find which quantity satisfies that 4.8% of it is equal to $120, divide 120 over 4.8%:

Therefore, the principal must be equal to $2500 for you to win $10 on the first month, and it would indeed be correct to say that if you open an account with $3000 you will earn at least $10 interest in 1 month.
Answer: An item or implement used for a specific purpose. A tool can be a physical object such as mechanical tools including saws and hammers or a technical object such as a web authoring tool or software program.
Step-by-step explanation: thank for watching.......