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2 years ago

A line passes through the point (-2, 6) and has a slope of 6.

Mathematics

1 answer:

TEA [102]2 years ago

4 0

Answer:

y = 6x + 18

Step-by-step explanation:

so first write y = 6x + b (because you have the slope) now to find the y-intercept input the point (-2, 6) and do algebra

6 = 6(-2) + b

6 = -12 + b

b = 18

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Frances has piano lessons every fourth day.

Fiesta28 [93]

Answer: ask your teacher I’m not that smart

Step-by-step explanation:

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3 years ago

A maple syrup producer would like to increase production by 500 gallons per each consecutive year with a goal of producing at le

ipn [44]

Answer:

b) x ≥ 3000 gallons

Step-by-step explanation:

Part a)

Production of Year 1 = x gallons

By each year the producer will increase the production by 500 gallons. So,

Production in Year 2 = x + 500 gallons

Similarly,

Production in Year 3 = x + 500 + 500 = x + 1000 gallons

Production in Year 4 = x + 1000 + 500 = x + 1500 gallons

Production in Year 5 = x + 1500 + 500 = x + 2000 gallons

Part b)

The maple syrup producer wants to produced atleast 20,000 gallons in 5 years.

Total amount produced in 5 years = x + x + 500 + x + 1000 + x + 1500 + x + 2000

Total amount produced in 5 years = 5x + 5000

Since, producer wants total production to be atleast 20,000, we can set up the inequality as:

5x + 5000 ≥ 20000

Subtracting 5000 from both sides, we get:

5x ≥ 15000

Dividing both sides by 5, we get:

x ≥ 3000

This means, in the first year the production of maple syrup must be atleast 3,000 gallons i.e 3000 gallons or more to have a total of atleast 20,000 gallons in 5 years.

8 0

3 years ago

Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five frie

Sliva [168]

Step-by-step explanation:

Given

One plain pizza and two sodas cost $15.95

Similarly, 3 plain pizzas and 5 sodas cost $45.90

Suppose the cost of single pizza and soda be $x$ and $y$

In linear equation format, it can be written as

$\Rightarrow x+2y=15.95\\\Rightarrow 3x+5y=45.90$

Therefore, the above two equations represents the given situation.

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3 years ago

Which one is bigger 3.5km or 3,000 km

Alla [95]

Answer:

Converting kilometers to meters could never be simpler with our accurate length converter! ... Meters and kilometers both belong to the metric length scale, with these two units of measurement being on the larger side. ... 1 Kilometer equals 1000 Meters (1km = 1000m) ... 3 Kilometers equal 3000 Meters (3km = 3000m) ...

Step-by-step explanation:

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3 years ago

Read 2 more answers

When you run, your average step length is 42 inches. How many steps would you have to take to run 1 mile (5,280 feet)? Round to

bezimeni [28]

First convert 5,280 ft. into inches.
$5280 \times 12 = 63360$
5280 ft. equals 63360 inches.

Then you divide that by 42
$63360 \div 42 = 1508.57$
If you're rounding to the nearest step then it would take 1509 steps to run 1 mile.

6 0

3 years ago