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3 years ago

Convert 39 ft/min to yd/s?

1 answer:

6 0

<span>To solve this we need two conversion factors: 1yd = 3ft, and 1min = 60s. To convert the units, you need to manipulate the conversion factor so that the units in the denominator cancel the units in the denominator: (39ft/min) * (1yd/3ft) = 13yd/min. The units of ft cancel out leaving 13yd/min. (13yd/min) * (1min/60s) = 0.217yd/s</span>

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

3 0

3 years ago

alex41 [277]

50. Slope- -1
Y intercept- (0,7)

51. Slope- -1/3
Y intercept- (0,-3)

5 0

2 years ago

To the nearest hundredth, how many cm are in 52 in? (1 in = 2.54 cm)

Vikki [24]

There are 132.08cm in 52 inches

4 0

3 years ago

Read 2 more answers

Which ordered pair is in the solution set of the system of linear inequalities? y >3/2 x – 1 y <3/2 x – 1 (–5, 2) (2, 2) (

Vikentia [17]

Answer:

No solution

Option 4 is correct

Step-by-step explanation:

Given: The system of inequality

$y>\dfrac{3}{2}x-1$

$y$

We need to choose correct option.

Option 1: (-5,2)

Put x=-5 and y=2

Equation 1 Equation 2

$2>\dfrac{3}{2}(-5)-1$ $2$

$2>-8.5$ $2$

TRUE FALSE

Option 2: (2,2)

Put x=2 and y=2

Equation 1 Equation 2

$2>\dfrac{3}{2}(2)-1$ $2$

$2>2$ $2$

FALSE FALSE

Option 3: (5,2)

Put x=-5 and y=2

Equation 1 Equation 2

$2>\dfrac{3}{2}(5)-1$ $2$

$2>6.5$ $2$

FALSE TRUE

Option 1, 2 and 3 are incorrect because both equation must be true for solution.

Hence, Option 4 is correct no solution.

6 0

2 years ago

Read 2 more answers

2ax-b=cx+d solve for x

Alexxandr [17]

Answer:

x = (d + b) / (2a - c)

Step-by-step explanation:

2ax-b = cx+d

2ax - cx = d + b

x (2a-c) = d + b

x = (d + b) / (2a - c)

7 0

2 years ago