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3 years ago

Oceanside Bike Rental Shop charges a sixteen dollar fixed fee plus seven dollars an

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

Answer:

8 hours

Step-by-step explanation:

72-16=56

56÷7=8 hours

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

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3 years ago

Examples of an interger that's not a whole number

rusak2 [61]

-1, -5, -60, -123456 In general, those are negative integers.

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3 years ago

The moon takes 28 days to orbit around the earth going at a distance of 2,413,000. How many kilometers does it take for the moon

Mazyrski [523]

Answer:

As per the statement;

The moon takes 28 days to orbit around the earth going at a distance of 2,413,000 km

From the above information,

The ratio between Distance and Days is; $\frac{2413000}{28}$

then,

the distance it takes for the moon to travel one day of its orbit around the earth we have;

$\frac{2413000}{28} \times 1 = \frac{2413000}{28}=86178.57$ km.

Therefore, the distance in kilometer does the moon cover in 1 day is 86178.57 km

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3 years ago

Read 2 more answers

Which equation has x=4 as the solution

erma4kov [3.2K]

(1) step by step below

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3 years ago

What does 48% equal as a number

Andrews [41]

Answer:

to convert a percent to a whole number just divide by 100

Step-by-step explanation:

.48

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3 years ago