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EastWind [94]
2 years ago
7

A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that c

an be loaded into the container is 27500 kilograms. Other shipments weighing 7700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing c, the total number of 40-kilogram crates that can be loaded into the shipping container
Mathematics
1 answer:
Semmy [17]2 years ago
5 0

By solving a quotient, we conclude that 495 crates can be loaded on the container.

<h3>How many 40-kg crates can be loaded on the shipping container?</h3>

We know that the capacity of the container is 27,500 kilograms, and we also know that there is 7,700 kg already on the container.

So the capacity left is:

27,500 kg - 7,700 kg = 19,800 kg

The number of 40kg crates that enter in the container is given by the quotient between the capacity left and the weight of each crate, so we will get:

N = (19,800 kg)/40kg = 495

This means that 495 crates can be loaded on the container.

If you want to learn more about quotients:

brainly.com/question/8952483

#SPJ1

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How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x
tino4ka555 [31]

The graph of the parent function is horizontally compressed by a factor of 2 and reflected over the y-axis ⇒ Last answer

Step-by-step explanation:

Let us revise some transformation

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.  

A horizontal stretching is the stretching of the graph away from the y-axis  

  • If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
  • If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis

∵  y = √x is a parent function

∵ Its graph transformed to produce the graph of y = √(-2x)

- That means x is multiplied by a factor k, then it is compressed

   or stretched horizontally

∵ k = -2

- The factor is -2, where 2 is greater than 1, then it is compressed

   horizontally as the first rule above and the negative means

   reflected across the y-axis as the third rule above

∴ The graph of the parent function is compressed horizontally and

    reflected across the y-axis

The graph of the parent function is horizontally compressed by a factor of 2 and reflected over the y-axis

Look to the attached figure for more understand

Learn more:

You can learn more about transformation in brainly.com/question/9381523

#LearnwithBrainly

7 0
4 years ago
Read 2 more answers
barney has 16 1/5 yards of fabric. to make an elf costume, he needs 5 2/5 yards of fabric. how many costumes can barney make?
mixas84 [53]
I think that you just divide 16 1/5 by 5 2/5
3 0
3 years ago
Read 2 more answers
How do I solve number 7?
borishaifa [10]

Answer:

16ᵗʰ Term of the sequence is 1010

Step-by-step explanation:

7.)

Here,

First Term = a₁ = 5

Common Difference = d = 67

Now, For 16ᵗʰ term, n = 16

<em>aₙ = a + (n - 1)d</em>

a₁₆ = 5 + (16 - 1) 67

a₁₆ = 5 + 15 × 67

a₁₆ = 5 + 1005

a₁₆ = 1010

Thus, 16ᵗʰ Term of the sequence is 1010

<u>-TheUnknownScientist</u>

8 0
3 years ago
If x = -1, which equation is true?
docker41 [41]
A. -3(-1) + 7 = 4
3 + 7 = 4
11 = 4 (wrong)

B. 4x - 8 = 12
4(-1) - 8 = 12
-4 - 8 = 12
-12 = 12 (wrong)

C. -2x + 3 = 1
-2(-1) + 3 = 1
2 + 3 = 1
5 = 1 (wrong)

D. 8x + 5 = -3
8(-1) + 5 = -3
-8 + 5 = -3
-3 = -3 (correct!)

So, in conclusion, D is the correct answer.
8 0
3 years ago
SungHee empties her piggy bank and finds that that she has 200 quarters 150 dimes and 300 pennies. How much money does she have
gayaneshka [121]
A quarter = 0.25......200 quarters = 200(0.25) = $ 50
a dime = 0.10...150 dimes = 150(0.10) = $ 15
a penny = 0.01....300 pennies = 300(0.01) = $ 3

for a total of : 50 + 15 + 3 = $ 68 
6 0
3 years ago
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