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2 years ago

Find the unit rate. 12 plates in 4 stacks plates per stack

Mathematics

2 answers:

emmasim [6.3K]2 years ago

8 0

Answer:

Step-by-step explanation:

3 plates per stack

divide 4 by 4 to get one and 12 by 4 to get 3

goldenfox [79]2 years ago

8 0

Answer:

3:1

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of one.

12/4=3

4/4=1

so the answer is 3:1

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If the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola, find an equation for the parabola. Write

STALIN [3.7K]

Answer:

$y=-1(x-2)^2+3$

Step-by-step explanation:

W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form $y=(x-h)^2+k$ .

We know that vertex form of parabola in form $y=a(x-h)^2+k$ , where (h,k) in vertex of parabola.

Upon substituting coordinates of vertex, we will get:

$y=a(x-2)^2+3$

To find the value of a, we will substitute coordinates of point (0, -1) as:

$-1=a(0-2)^2+3$

$-1=a(4)+3$

$-1=4a+3$

$-1-3=4a+3-3$

$-4=4a$

$\frac{-4}{4}=\frac{4a}{4}$

$-1=a$

Therefore, our required equation would be $y=-1(x-2)^2+3$ .

3 0

2 years ago

Find a8 of the sequence 10,9.75,9.5,9.25,

borishaifa [10]

Answer:

7.25

Step-by-step explanation:

10,9.75,9.5,9.25,

the rest of the sequence would look like

8, 7.75, 7.5, 7.25, 7, 6.75, 6.5, 6.25, 6 etc.

(the pattern is - .25 from the previous number.

so the 8th number in this sequence is 7.25

hope this helps!!:)

6 0

3 years ago

Read 2 more answers

A room 9m long,6m broad and 3.6 m high has one door 1.4m by 2m and two windows,each 1.6m by 75cm find: the cost of white-washing

Tcecarenko [31]

Answer:

The cost of white-washing the walls from inside at the rate of 22.50 per m² is 1098

Step-by-step explanation:

Step 1: Finding the area of the room

Area of the room = Length X breadth

Length = 9m long

Breadth = 6m broad

Area of the room = 9 x 6 =54 square metres

Step 2: Finding the area of the door

Area of the door = Length x breadth

Breadth = 1.4m

Length = 2m

Area of the door = 1.4 x 2 = 2.8 square metres

Step 3: Finding the area of the Window

Area of the window= Length x breadth

Length = 1.6 m

Breadth = 75 cm

Converting cm to m

we have

75 cm =0.75 m

Area of the 1 window= 1.6 x 0.75 = 1.2 square metres

Step 4: Finding the area to be painted

Area to be painted = Total area of the room - area of the door - 2(area of the window)

Area to be painted = 54 - 2.8 - 2(1.2)

Area to be painted = 54 - 2.8 - 2.4

Area to be painted = 48.8 square metres

Step 5: Finding the cost for painting

For painting one square metre = $22.50

For painting 48.8 square metres = 22.50 x 48.8 = 1098

5 0

3 years ago

Identify the transformation that was applied to this boomerang.

olga_2 [115]

D. Since the dark part of the boomerang is on the different side, it had to have been rotated

4 0

2 years ago

Read 2 more answers

A concert is being held in a gymnasium that can hold no more than 550 people. A permanent bleacher will seat 30 people.. The eve

tatyana61 [14]

26
550-30=520
520/20=26

8 0

2 years ago