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chubhunter [2.5K]

3 years ago

5

Rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft what is the greatest number of cards that c

an be cut from the sheer?

1 answer:

alexira [117]3 years ago

6 0

Answer:

144

Step-by-step explanation:

3ft = 36 inches card 2x3 = square 6 inches

2ft = 24 inches

36X24 = 864 square inches

864/6= 144

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Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

4 0

2 years ago

The volume of Cylinder A is 189 ft and the

andrezito [222]

Answer:

27:8

Step-by-step explanation:

189/56 = 27/8

6 0

3 years ago

Brainliest if it its right

Anika [276]

Answer:

A = <u>40</u> $mm^{2}$

Step-by-step explanation:

The equation for finding the area of a trapezoid is $A= \frac{a + b}{2}h$ .

In this equation, a=4, b=6, h=8.

$A = \frac{4 + 6}{2}8$ .

4+6=10
10/2=5
5x8=40

Hope this helps!

8 0

2 years ago

Read 2 more answers

An object is launched at 39.2 meters per second (m/s) from a 42.3-meter tall platform. The equation for the object's height s at

vova2212 [387]

Just add the numbers up and see if that works

4 0

2 years ago

PLZ HELP!!! 20 POINTS!!!<br><br> 1. Solve the system of equations by graphing: x + y = 3

sveticcg [70]

First you need to fix the equation in order to graph.
x + y = 3
Subtract x from both sides.
y = -1x + 3
Now graph.
(Whenever there is a variable by itself there is always a 1 in front of it.)
There is a site called desmos that can help↓

6 0

3 years ago