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Ne4ueva [31]
3 years ago
12

A trailer will be used to transport several 40-kilogram crates to a store. The greatest amount of weight that can be loaded onto

the trailer is 1,050 kilograms. An 82-kilogram crate has already been loaded onto the trailer. What is the greatest number of 40-kilogram crates that can also be loaded onto the trailer?
Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

Answer:

24

Step-by-step explanation:

The total capacity of the trailer is 1,050 kg.

An 82-kg crate is already loaded on the trailer.

We subtract 82 kg from 1,050 kg to find out the amount of weight still available.

1,050 kg - 82 kg = 968 kg

The trailer can still carry another 968 kg.

Each additional crate weighs 40 kg.

We divide 968 kg by 40 kg to calculate the number of crates that can still be loaded.

(968 kg)/(40 kg) = 24.2

Since we cannot place 0.2 of a crate, we round 24.2 down to 24.

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Can someone check if my answer is correct? Thank you!
a_sh-v [17]

Answer:

Step-by-step explanation:

you are correct.

3 0
3 years ago
Isabel graphed the following system of equations.
igor_vitrenko [27]

Answer:


Step-by-step explanation:

Simplified the following system of equations into a linear equation.

Graphed (plot the points) the linear equation onto the graph.

To get the solution (2,-2) (x,y)she went positive 2 to the right and -2 down.


4 0
3 years ago
stion 13: A typical barrel of bot-oil contains 70 liters of oil. If a hole he barrel is causing a constant 6 liters an hour leak
Montano1993 [528]

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

4 0
2 years ago
1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch
kykrilka [37]
Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle. 

Thus, half the angle formed by the chord at the centre of the circle is given by:

\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2}  \\  \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o

Now, 

\sin60^o= \frac{9}{r}  \\  \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392

Therefore, the radius of the circle is 10.4 cm to 1 d.p.


Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o

Now, 

\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm


Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

\sin40^o= \frac{y}{10}  \\  \\  \\ \Rightarrow y=10\sin40^o=6.428

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.
3 0
3 years ago
Does anyone know this? I’m really stuck
S_A_V [24]

<em>p = 21</em>

Step-by-step explanation:

When you have a midsegment, the base is going to be two times as large as the midsegment. You can find the midsegment if you multiply it by two and set it equal to the base. I have attached a photo below that may help you.

This is the equation we will be using.

2(p-13)=p-5

Now let's solve! Let's start by distributing the 2 by what's in the parentheses.

2p-26=p-5

Subtract p from both sides.

p-26=-5

Add 26 to both sides.

<u>p = 21</u>

7 0
3 years ago
Read 2 more answers
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