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2 years ago

Can someone help me with this problem please :)

Mathematics

1 answer:

Readme [11.4K]2 years ago

4 0

Answer:

y = $\frac{15}{2}$

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

k = $\frac{y}{x}$ = $\frac{10}{20}$ = $\frac{1}{2}$

y = $\frac{1}{2}$ x ← equation of variation

When x = 15, then

y = $\frac{1}{2}$ × 15 = $\frac{15}{2}$

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Which is the graph of linear inequality 6x+2y>-10

NemiM [27]

For this case we have the following inequality:
$6x + 2y\ \textgreater \ -10
$
The first thing we must do is to graph the linear function:
$6x + 2y = -10
$
Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer:
See attached image.

8 0

3 years ago

James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home anot

mariarad [96]

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g

Total = 21,900 g

But the question says the answer should be in kg

1000 g is equivalent to 1 kg

21,900 g will be equivalent to $\frac{21,900}{1,000} kg$

$21,900g = \frac{21,900}{1,000} kg$

$21,900g = 21.9 kg$

Hence, the quantity of sandbox James has is 21.9kg

7 0

3 years ago

Write 12.325 as a mixed number. quick I need help

Nastasia [14]

Answer:

493/40

i tried my best on it

4 0

2 years ago

Read 2 more answers

What would a monthly payment be on a purchase of a $11,000 car at 5.9% for 4 years?

Oxana [17]

Answer:

A) $257.83

Step-by-step explanation:

A spreadsheet or financial calculator will tell you the monthly payment on $11,000 at 5.9% annual rate for 4 years is ...

$257.83

4 0

2 years ago

Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:

soldi70 [24.7K]

Answer:

=72

Step-by-step explanation:

57+68+32+59+72=288

360-288=72

6 0

2 years ago