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Romashka-Z-Leto [24]
2 years ago
5

peggy is putting flowers in vases. she puts either 2 or 3 flowers in each vase. if Peggy has a total of 12 flowers, how many dif

ferent ways can she place them all in the vases?
Mathematics
1 answer:
Triss [41]2 years ago
6 0
2 flowers per vase and that would take 6 vases
3 flowers per vase and that would take 4 vases 
4 flowers per vase and that would take 3 vases
6 flowers per vase and that would take 2 vases 
there are many ways to put flowers in a vase but those are some.
Hope it helped.
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troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga
GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

y-y1=m*(x-x1)

where

m is the slope---------> \frac{gallon}{miles}

in this problem the slope is equal to -\frac{1}{21} \frac{gallons}{miles}

it's negative because the tank is going to be consumed

assuming he starts with a full tank

for\ x=0\ y=30\  gal

substitute in the formula above

y-y1=m*(x-x1)\\\\ y-30=-\frac{1}{21}*(x-0)\\\\ y=-\frac{x}{21}+30

therefore

the answer is

the equation y=-\frac{x}{21}+30

8 0
2 years ago
Read 2 more answers
Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. Y + 2.3 = 0.45x and -2y = 4
HACTEHA [7]

Answer:

(2.4, -1.2)

Step-by-step explanation:

Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.

4 0
2 years ago
Read 2 more answers
A professor is examining a new strain of bacteria. The amount of bacteria can be modeled by function s(n) = 20 · bn, where n is
user100 [1]
For this case we have a function of the form:
 y = A * (b) ^ n

 Where,
 A: initial amount
 b: growth rate (if b> 1)
 n: time in hours
 Substituting values we have:
 s (n) = 20 * b ^ n

 We have then that the initial amount is:
 A = 20

 If b = 1.85 then the growth percentage is:
 (1.85-1) * (100) = 85%

 Answer:
 
here were initially 20 bacteria.
 
The hourly percent growth rate of the bacteria would be 85%
8 0
2 years ago
tom and barb have only nickels and dimes. barb has 75 cents and Tom has 90 cents. both have the same number of coins and Tom has
Galina-37 [17]
They both he 9 coin barb has 3 nickels and 6 dimes
4 0
2 years ago
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A square lawn has area 800ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern as shown in the
mestny [16]

I'm pretty sure your radius is 14.14'

3 0
2 years ago
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