For this problem, we can use systems of equations. I will use the variables <em>x </em> (for ice-cream) and <em>y</em> (for soda). We get the system:
2.25x+0.75y=30.00
x+y=18
Putting the second equation in terms of y, we get that y=-x+18. We can substitute this into our first equation.
2.25x+0.75y=30.00
becomes
2.25x+0.75(-x+18)=30
Solving for x, we get that x=11. This satisfies answer B.
However, if you want to check to see if this is correct, you could find y by plugging in your value of x into the first equation, then check to see if your found values satisfy BOTH equations.
2.25(11)+0.75y=30
24.75+0.75y=30
0.75y=5.25
y=7
Then we plug this into both equations to see if they are true.
2.25(11)+0.75(7)=30
24.75+5.25=30
30=30 (This is true)
x+y=18
11+7=18
18=18 (This is true).
Both equations are true, so the value for x and y are correct. We see that only answer B is supported through analyzing your work.
:)
Answer:
Step-by-step explanation:
I think this is your full question, right?
<em>Cindy and Zoey work at a store. Both girls earn $6.25 per hour. During a normal week Cindy works 15 hours and Zoey works 20 hours. The expression 6.25(15) + 6.25(20) can be used to calculate the total amount of money that the girls earned in one week. Which expression shows another way to calculate the amount of money the girls earn in one week? </em>
My answer:
The expression shows another way must be equal to: <em>6.25(15) + 6.25(20) </em>
<=> 6.25 (15+20)
Because both girls earn the same per hour.
Volume is a three-dimensional scalar quantity. The volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Since an inch is equal to 1/12 of a foot. Therefore, the thickness of the pool deck is,
3 inches = 0.25 foot
If a pool deck of 650 square feet is to be laid with concrete 3" thick, then the volume of concrete that will be needed is,
Volume of concrete = 650 ft² × 0.25 ft = 162.5 ft³
Now, one yard is equal to 3 feet, therefore,
1 cubic foot = 1/27 cubic yards
162.5 cubic feet = 6.0185 cubic yards
Hence, the volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.
Learn more about Volume:
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Answer:
h = 12.5
Step-by-step explanation:
Simplifying
h + 3h + 4h = 100
Combine like terms: h + 3h = 4h
4h + 4h = 100
Combine like terms: 4h + 4h = 8h
8h = 100
Solving
8h = 100
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by '8'.
h = 12.5
Simplifying
h = 12.5
1,75% = 0,0175
per month: 0,0175/12 = 0,00145833
500*0,00145833 = 0,73$ interest