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Sergeu [11.5K]
4 years ago
9

A certain elevator has a maximum weight capacity of 1,000 kilograms. Ten people weighing a total of 7,000 hectograms get on the

elevator. How much more weight can the elevator hold before it reaches its maximum capacity?
Mathematics
1 answer:
vladimir1956 [14]4 years ago
5 0

Answer:

300 kg

Step-by-step explanation:

Thinking process:

You need to know the conversion:

1 hectogram = 0.1 kg

Therefore, 7000 hectograms gives:

7000 (0.1)  = 700 kg

The elevator can take a maximum of 1 000kg.

The reminder is 1000 - 700\\= 300 kg

The elevator will take 300 kg more

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Effectus [21]
It should be 20 7/12
3 0
3 years ago
5,000 is 1/10 of blank
Olin [163]

Answer:

blank = 50,000

Step-by-step explanation:

6 0
3 years ago
You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar
Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
9x + Зу = -3<br> 2х - у = -4
Irina18 [472]
Answer: (-1, 2)

explanation:

3(2x-y=-4)
6x-3y=-12

9x+3y=-3
6x-3y=-12

15x=-15
x=-1

2(-1) - y = -4
-2-y=-4
-y=-2
y=2
5 0
3 years ago
What is the factorization of the polynomial below?<br> 5x2 - 35x + 60
natita [175]

Answer:

5(x-3)(x-4)

Step-by-step explanation:

5x^2-35x+60

Start by factoring out a 5:

5(x^2-7x+12)

We need to find two integers that have a product of 12, and a sum of -7:

(-3)(-4)=12

-3-4=-7

We can split -7x into -3x and -4x

5(x^2-3x-4x+12)

Factor each half separately:

5[x(x-3)-4(x-3)]

Since x and -4 are both being multiplied by x-3, we can combine them:

5(x-3)(x-4)

7 0
2 years ago
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