Answer: 123 crackers
Step-by-step explanation:
If 1/3 of the box contains sesame seed crackers, then, 2/3 of the box contains whole wheat and cheese flavored crackers.
Total number of whole wheat and cheese flavored crackers = 53 + 29 = 82
Let x be the total number of crackers in the box, so we will have the equation
2/3 x= 82
x = 82 ÷ 2/3; we will get
X =82 x 3/2
X = 123 crackers
There are 360 degrees in a circle, and we have 18 pieces, so we need to see how many times 18 goes into 360. We can find this out by dividing.
360/18=20
You can check this by multiplying 20 and 18 (it equals 360)!
So, each fraction of the circle will be 20 degrees.
If you take 5 of these 20 degree pieces, you'll need to multiply them by 20 to see how many degrees they'd be.
You need to multiply by 20 because each piece is 20 degrees, and we need to find how many degrees 5 pieces is. It's the same as doing
20+20+20+20+20! :)
20*5=100. 5 parts will be 100 degrees.
Hope I helped! :)
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:

3-4x=-6x^2
+6x^2=+6x^2
_____________
6x^2+3-4x=0
6x^2-4x+3=0
(-4)^2-4(6)(3)
16-72
Final Answer: -56
Here, we are required to find the area of the paper board given after the semicircle is cut out of it
Area of the paper board thatremains is 423 in²
Length = 29 in
Width = 20 in
Area of a rectangle = length × width
= 29 in × 20 in
= 580 in²
Area of a semi circle = πr²/2
π = 3.14
r = diameter / 2 = 20 in / 2 = 10 in
Area of a semi circle = πr²/2
= 3.14 × (10 in)² / 2
= 3.14 × 100 in² / 2
= 314 in²/2
= 157 in²
The semicircle is cut out of the rectangle
Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle
Area of the paper board that remains = Area of a rectangle - Area of a semi circle
= 580 in² - 157 in²
= 423 in²
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