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mixer [17]
3 years ago
5

3. A test has 20 questions worth 100 points total. The test consists of True/False questions worth 4 points each and multiple ch

oice questions worth 8 points each
C. Solve the system to determine how many questions of each type there are on the test. You may use any method, but you must show your work.
Mathematics
2 answers:
Aleks [24]3 years ago
7 0

Answer:


x+y=20

4x+8y=100

x=-2y+25

x=-y+20

-2y+25=-y+20

-y=-5

y=5

x=15

There are 15 true/false questions and 5 multiple choice questions



Cerrena [4.2K]3 years ago
3 0
X+y=20
4x+8y=100
x=-2y+25
x=-y+20
-2y+25=-y+20
-y=-5
y=5
x=15
There are 15 true/false questions and 5 multiple choice questions

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Solve for b A= \frac{a+b}{2}
lina2011 [118]
A = (a+b)/2
2*A = 2*(a+b)/2 ... multiply both sides by 2
2A = a+b
2A-a = a+b-a ... subtract 'a' from both sides to isolate b
2A-a = b
b = 2A-a

Answer: b = 2A-a

6 0
3 years ago
The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your
Inessa [10]
"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or  (here)  C = 2*pi*(8 inches) = 16*pi inches.

                                                                       1 ft
Convert this to feet:  16*pi inches  times  ---------------
                                                                   12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft            2100 
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft        4
7 0
3 years ago
864 multiple by two third ?
harkovskaia [24]
Here we will explain how to calculate two thirds of 864.

Two thirds of 864 is simply two thirds times 864, which can be written as follows:

Two/thirds x 864

Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:

2/3 x 864 = 576.00

Two thirds written as a fraction is 2/3. You can also write it as a decimal by simply dividing 2 by 3 which is 0.67.<span>If you multiply 0.67 with 864 you will see that you will end up with the same answer as above. </span>

<span>You may also find it useful to know that if you multiply 0.67 with 100 you get 66.67. Which means that our answer of 576.00 is 66.67 percent of 864. </span>
3 0
3 years ago
A pizza place charges $5.00 for a cheese pizza and $1.75 for each additional topping. Which equation models the total price of a
inysia [295]

Answer:

C

Step-by-step explanation: This is c because 1.75 t is right because they don't know how many toppings you are going to put on but they do know how much you will automatically have to pay for the pizza itself. That is why it is 1.75t(toppings) plus the 5 dollars for pizza.

Hope this helps!

4 0
3 years ago
Comppete the equation <br> X^2+y^2-10x+6y=15
mart [117]
I believe you meant:  Use completing the square to determine the center and radius of the circle represented by this equation:   <span>X^2+y^2-10x+6y=15

x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
     (x-5)^2               +   (y+3)^2            = 24   = 2sqrt(6)

This circle is centered at (5,-3) and has radius 2sqrt(6).</span>
8 0
3 years ago
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