To go to the school footsall game, a student would pay $2.00 for each drink purchases,

Mathematics

1 answer:

kotykmax [81]3 years ago

4 0

Answer: 2d

Step-by-step explanation:

You multiply the cost by the amount d, to find the total cost. Since it wants an expression, there is no equal sign.

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A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D

Alika [10]

The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

$(y\times a)\times (y\times b)=9x$
$y^2ab=9x$
$y^2x=9x$
$y=3$

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is $5 \times 8=40$

And so then $x=40$

And then after the dilation, it would be $9x=9(40) = 360$

We could check it another way too. Since we said the scale factor is 3, then:

$( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360$

So basically 15 by 24 is the new dimensions :)

6 0

3 years ago

In the figure below, B is between A and C and C is between B and D. if BC=4, BD=12, and AD=15 and AC

Sindrei [870]

Answer:

AC = 7

Step-by-step explanation:

1. Draw out the line and label everything you know.

2. By observation, we know that AD is also equal to AC + CD.

3. To find CD, take the length of BD (12) and subtract it by the length of BC (4): 12 - 4 = 8. The length of CD is 8.

4. Finally, to find AC, subtract the length of CD (8) from AD (15): 15 - 8 = 7. The length of AC is 7.

4 0