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Andrew [12]
3 years ago
10

#7: Five containers, each weighing the same amount, were placed on a 30-pound

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer:

Option (B)

Step-by-step explanation:

Let the weight of one container = x pounds

Therefore, weight of 5 containers = 5x pounds

Weight of the platform = 30 pounds

Total weight of the platform and containers = (5x + 30) pounds

If the maximum weight that can be lifted by the cable = 780 pounds

Inequality representing this situation will be,

(5x + 30) < 780

5x < 780 - 30

5x < 750

x < 150

Therefore, Option (B) is the answer.

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A parking lot charges $3 to park a car for the first hour and $2 per hour after that. If you use more than one parking space, th
Vikki [24]

Given, a parking lot charges $3 for first hour and $2 per hour after that.

So for t hours, the parking lot charges $3 for the first hour and after first hour there is (t-1) hours left.

So for (t-1) hours it will charge $2 per hour.

The charges for (t-1) hours = $2(t-1).

Total charges for t hours for one car = $(3+2(t-1))

Now for the second car, it will charge 75% of the first car.

So the charges for second car

=$[ (3+2(t-1))(75/100)]

=$0.75(3+2(t-1))

There are 3 cars. That parking charges for the third car is also 75% of the first car.

So for third car the parking charges are same as for the second car.

Total parking charges for 3 cars

= $(3+2(t-1))+(0.75(3+2(t-1))+(0.75(3+2(t-1))

= $(3+2(t-1))+(0.75)(2(3+2(t-1))

We have got the required answer here.

The correct option is option C.

8 0
3 years ago
Mrs . Porcelli’s classroom bulletin board is 2/1/4 feet long. Ms .Smith bulletin board is 3 times as long Mrs . Porcelli’s.How l
snow_lady [41]

Answer:

6\frac{3}{4}\ ft

Step-by-step explanation:

we know that

To find out how long is Ms.Smith’s bulletin board, multiply Mrs . Porcelli’s bulletin board by 3

so

2\frac{1}{4}(3)

but first convert mixed number to an improper fraction

so

2\frac{1}{4}\ ft=2+\frac{1}{4}=\frac{9}{4}\ ft

substitute

\frac{9}{4}(3)=\frac{27}{4}\ ft

convert to mixed number

\frac{27}{4}\ ft=\frac{24}{4}+\frac{3}{4}=6\frac{3}{4}\ ft

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3 years ago
Can someone please help on my geometry test?
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2 years ago
APEX
Natalka [10]
The answer would be D. Conditional Statement 
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3 years ago
Read 2 more answers
Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4
kvasek [131]

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

  \left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]

4 0
3 years ago
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