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3 years ago

Club A has fee of $21 plus $23 monthly Club B has fee of $12 plus $26 monthly When will they be the same and what is it?

Mathematics

2 answers:

LenaWriter [7]3 years ago

8 0

The club would be the same on the 3rd month, with the same money fee of $90

mart [117]3 years ago

4 0

Answer:

hmmmmmmmm

Step-by-step explanation:

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What is .25 when written in simplest form

seropon [69]

So 0.25 is essentially 25/100. Divide 25 from the top and bottom to get 1/4

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4 years ago

Read 2 more answers

Dilate the the triangle, scale factor = 3 (positive 3, ignore the

HACTEHA [7]

Answer:

The rule of dilation is $P'(x,y) = 3\cdot P(x,y)$ .

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

$P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0,0)$ , $k = 3$ , $A(x,y) = (-7,-6)$ , $B(x,y) = (-5,-2)$ and $C(x,y) =(-1,-5)$ , then dilated points of triangle ABC are, respectively:

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]$

$A'(x,y) = (-21, -18)$

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]$

$B'(x,y) = (-15,-10)$

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$ (4)

$C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]$

$C'(x,y) = (-3,-15)$

The rule of dilation is:

$P'(x,y) = 3\cdot P(x,y)$ (5)

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

7 0

3 years ago

Adam is building birdhouses that requires 1/2-ft-long boards. How many pieces that are exactly 1/2 ft long can be made from a bo

Julli [10]

Answer:

Step-by-step explanation:

Adam is building birdhouses that requires $\frac{1}{2}$ i.e 0.5 feet long boards.

Now, he has an $8\dfrac{1}{4}$ i.e. 8.25 feet longboard and wants to cut each 0.5 feet longboards.

We have to calculate the number of pieces of exactly 0.5 feet length that can be made from this 8.25 feet longboard.

Now, $\frac{8.25}{0.5}= 16.5$

So, there can be 16 whole board of exact length 0.5 feet. (Answer)

4 0

3 years ago

If i want to divide a circle into 22 equal parts on a piece of cardboard that is6'' by 6 and 1/2" how do i do the math

melamori03 [73]

The answer would be 11

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4 years ago

How many liters of a 10% alcohol solution must be mixed with 90 liters of a 60% solution to get a 30% solution?

Setler [38]

Since 10% = 0.10 by moving the decimal two spots to the left, we can say that 0.10L is the amount of alcohol with 10% concentration in L liters. Similarly, 0.60L is 60% for L liters and 0.30L is the amount of liters with 30%. If the amount of 10% alcohol solution in liters is x and the 60% in y, we get 0.10x+0.60y=0.30L due to that the liters add up to get a 30% amount of alcohol (this equation represents the amount of alcohol). Next, x+y=L. Since we know that we have 90 liters of 0.60, y=90 and we have
0.10x+54=0.30L
x+90=L. Plugging x+90 for L, we get 0.10x+54=0.3(x+90)=0.3x+27. Subtracting 27 and 0.1x from both sides, we get 0.2x=27. Next, we can multiply both sides by 5 (since 1/0.2=5) to get x=135 liters

4 0

4 years ago