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Mariana [72]
3 years ago
8

The length of a rectangle is one unit more than the width. if the area is 30 square units find the dimensions of the rectanhgle

Mathematics
1 answer:
solmaris [256]3 years ago
6 0
Width = w

Length = w + 1

Area = 30

w(w+1) = 30

w² + w = 30

w² + w - 30 = 0

w² + 6w - 5w - 30 = 0

w(w + 6) -5(w + 6) = 0 

(w + 6)(w - 5) = 0

w = 5 or -6

Since the width cannot be negative, the width is 5 units.

Hence, the width is 5 units and the length is 6 units. 
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I have 7 hundreds blocks, 5 tens blocks, and 8 ones blocks. I use my blocks to model two 3-digit numbers. What could my two numb
lawyer [7]
There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.

The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758

We can make several two 3-digit numbers from these blocks. An example is listed below:

Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:

1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434

The sum of these two numbers is  = 324 + 434 = 758
i.e. equal to the original sum of all blocks.

This way changing the number of blocks in each place value, different 3 digit numbers can be generated. 
5 0
3 years ago
Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations
TiliK225 [7]

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4

8 0
3 years ago
I need help with this pls
Vadim26 [7]

Answer:

I tho this was a game at first but gurl i can see the shape and everything but what im i supposed to do?

just tell me the instructions and ill help

8 0
3 years ago
A runner is 6/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?
Klio2033 [76]

Answer:

it will take her 40 seconds to finish the race.

3/8 per minute, would make it 1/8 every 20 seconds. since she only has 2/8 of a mile left to go, 20 seconds +20 seconds = 40 seconds

(if you needed how long it takes her to run the whole race, it's 2 minutes 40 seconds, which would make her the fastest mile runner in the world)

Step-by-step explanation:

I hope this helps :)

6 0
3 years ago
A cube has a lateral area of 676 square feet.<br> What is the side length of the cube?
sp2606 [1]

Answer:

13 ft.

Step-by-step explanation:

Lateral Surface area of a cube is the area of 4 sides, front side, back side, left side face and right side face.

It can be seen seen from the attached figure as well.

Each face in a cube is a square. And each side in the cube is equal.

So, Lateral surface area is nothing but 4 \times area of a square.

And we know that area of a square = side^{2}.

Hence, Lateral surface area = 4 \times side^{2}

As per question:

4 \times side^{2} = 676

side^2 = 169 \\\Rightarrow side = 13

Hence, side length of cube = 13 feet.

7 0
3 years ago
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