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3 years ago

What multiple of 8 gets an equal multiple of 9

Mathematics

1 answer:

musickatia [10]3 years ago

5 0

Answer:

Explanation:

8*9=72

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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

4 years ago

Find the x- and y- intercepts of the line 6x-2y=24 write your answers as ordered pairs

MrRissso [65]

Answer:

(4,0),(0,-12)

Step-by-step explanation:

7 0

4 years ago

Which is the value of 2c2d if c = 0.5 and d = 3? A. 0.15 B. 1.5 C.33 D. 6 E 15

aksik [14]

Answer:

The answer is D (6).

hope this helps!

4 0

3 years ago

Bob’s heart rate is 68 beats per minute. a. If this is his average heart rate, how many times will his heart beat in 15 years? b

cluponka [151]

Answer:

Try googling it

Step-by-step explanation:

8 0

3 years ago

Susan is celebrating her birthday by going out to eat at five guy's for burgers. If the bill in $40 and she wants to leave a tip

damaskus [11]

Answer:

Step-by-step explanation:

Susan can easily figure the tip by the following procedure. 10% of the bill is the amount with the decimal point moved one place to the left, so is $4.00. 5% of the bill is half that, or $2.00.

15% of the bill is 10% + 5%, so is $4.00 +2.00 = $6.00. The tip will be $6.00.

7 0

4 years ago