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Cloud [144]
3 years ago
14

At a flower shop, 4 flowers cost $10. Mrs. Watson usually buys 12 flowers. During a sale, there is a 20% discount on every flowe

r. How many flowers can Mrs. Watson buy during the sale if she spends the same amount of money that usually does?
Mathematics
2 answers:
Cloud [144]3 years ago
4 0
60 flowers. She usually buys 12 flowers, and there is a 20% discount, so 20%=1/5, so 12*5=60
guajiro [1.7K]3 years ago
3 0
Make a proportion to find the cost for 12 flowers based on the price for 4 flowers. 
4/10=12/x
Cross multiply and you get 4x=120 Divide 4 on both sides of the equation. 
X is $30.
Then, you find the unit price of 1 flower by dividing 10 by 4. Each flower cost $2.50. 
Convert 20% to decimal which is 0.2.
Multiply 0.2 by 2.5 and you get 0.5. Subtract 0.5 from 2.5 to get 2. 
Write an equation using the information: $2 for each flower and you only have $30 to spend. 
The equation is 2x=30. Divide 2 on both sides and you get x=15 flowers
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Answer:

40.1 cm²

Step-by-step explanation:

V (rectangular prism) = Base area x Height

441 = BA x 11

BA = 441 / 11 = 40.1

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7 0
3 years ago
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Can someone tell me if im right? PLEASE DONT JUST SAY YES if you don’t know
tia_tia [17]

Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b                  

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

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