Use the commutative property of Multiplication to write a related number sentence. 4 times 9=36

The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks

mojhsa [17]

The correct answer is 1/3f +36 = 85. You can figure this out by reading this "The number of State Parks in California is 36 more than one third the number of State Parks in Florida" and writing it as an equation.

85 = 1/3f + 36

7 0

2 years ago

The classes at the middle school want to raise money. The sixth grade runs a bake sale for 55 hours and makes $170$170. The seve

kvv77 [185]

The sixth grade makes 3.09 per hour

The seventh graders make 2.54 per hour

the eighth graders make 2.90 per hour

So the sixth graders make the most per hour. you can check this answer by taking the amount of money made and divide it by the time that it takes to raise the total amount of money raised by each class of students.

5 0

3 years ago

What is the length of the shorter base of the Little Trapezoid trail?

valentina_108 [34]

Answer:

The length of the shorter base of the little trapezoid trail is 1 mi.

Step-by-step explanation:

Let the shorter base of the large trapezoid is S and the larger base of the large trapezoid is L.

Similarly, assume that the shorter base of the small trapezoid is s and the larger base of the small trapezoid is l.

Since, the trapezoids are similar, so

$\frac{L}{l} = \frac{S}{s}$

Now, given that S = 2 mi, L = 8 mi and l = 4 mi and we have to find s.

So, $s = \frac{S \times l}{L} = \frac{4 \times 2}{8} = 1$ mi. (Answer)

3 0

2 years ago

Find the area of the square in inches2 and enter your answer below. Do not include units in your answer.

saveliy_v [14]

Answer:

11.56

Step-by-step explanation:

The area formula is just Length * Height. Since this shape is a square, both the length and height are equivalent to the same thing, 3.4. So, all we have to do is multiply 3.4 * 3.4, or we can do 3.4^2.

3 0

2 years ago

42. Which matrix represents the image of the triangle with vertices at (-2,0), (1,5), and (4,-8) when dilated by a scale factor

jasenka [17]

The second matrix $\left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]$ represents the triangle dilated by a scale factor of 3.

Step-by-step explanation:

Step 1:

To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.

The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.

Step 2:

If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get

$\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right]$

The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.

Step 3:

The matrix that represents the triangle after dilation is given by

$3\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right] = \left[\begin{array}{ccc}3(-2)&3(1)&3(4)\\3(0)&3(5)&3(-8)\end{array}\right] = \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]$

This is the second option.

4 0

2 years ago