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3 years ago

100yds x30 feet, the total

Mathematics

1 answer:

aliina [53]3 years ago

3 0

Answer: 1,296,000 inches

Step-by-step explanation:

Step 1: 100 yards to feet, is 300 feet, considering that 1 yard = 3 feet.

Step 2: 300 feet to inches is 3600, because one foot = 12 inches.

Step 3: 30 feet to inches is 360, because 30 x 12 = 360.

Step 4: 3600 x 360 = 1,296,000 inches.

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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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4 years ago

Write and algebraic expression: 1.5 more than the product of g and h

sergij07 [2.7K]

Hey there!

Guide to your question:

“More than” than means “addition” or “add”

“Product” means “multiplication” or “multiply”

So, your answer should be:

1.5 + g * h

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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2 years ago

In triangle PQR, m∠P = 30°, m∠Q = 90°, and m∠R = 60°. If the triangle is rotated 90° clockwise about a point, what is the measur

bixtya [17]

m<P=60°

Refer to the attachments

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3 years ago

Bella works at the grocery store and has 453 oranges to fit into 17 boxes. She fills all of the boxes with exactly the same numb

LUCKY_DIMON [66]

Answer:

It would be 7701

Step-by-step explanation: hope this helps!

6 0

3 years ago

Read 2 more answers

A line contains the points R (-1, 8) S (1, 4) and T (6, y). Solve for y. Be sure to show and explain all work.

Nikitich [7]

Given:

A line contains the points R(-1, 8), S(1, 4) and T(6, y).

To find:

The value of y.

Solution:

Three points are collinear if:

$x_1(y_2-y_3)+x_2(y_3-y_2)+x_3(y_1-y_2)=0$

A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.

$-1(4-y)+1(y-8)+6(8-4)=0$

$-4+y+y-8+48-24=0$

$2y+12=0$

Subtract 12 from both sides.

$2y=-12$

Divide both sides by 2.

$y=\dfrac{-12}{2}$

$y=-6$

Therefore, the value of y is -6.

3 0

3 years ago