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MAXImum [283]
3 years ago
12

a caterer makes 3 extra sandwiches for every 12 sandwiches a customer orders. The caterer makes a total of 120 sandwiches for a

customer. How many sandwiches did the customer order? (Not including the extra sandwiches)
Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

96

Step-by-step explanation: 12+3=15   15x8= 120 then take out the 3 from the 15 and do 12x8 and it's 96.

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Question 1 (Essay Worth 10 points)
il63 [147K]

Answer:

Part A. x = 1/26 Part B. x = 1/50

Step-by-step explanation:

Solve for x:

26 x = 1

Divide both sides by 26:

Answer:  x = 1/26

___________________

Solve for x:

50 x = 1

Divide both sides by 50:

Answer:  x = 1/50

8 0
3 years ago
Which of the following are roots of the following polynomial x^3-11x^2+33x+45
Mandarinka [93]
For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get 

      x^2-12x+45
       ___ ________________________
x+1 | x^3-11x^2+33x+45

      - (x^3+x^2)
       _________________________
            -12x^2+33x+45
          - (-12x^2-12x)
          ______________
            45x+45
         -(45x+45)
___________
0


Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer
8 0
3 years ago
Square root of 64 + cube root of 64 is​
seropon [69]

Answer:

12

Step-by-step explanation:

\sqrt{64} + \sqrt[3]{64}

= 8 + 4

= 12

8 0
2 years ago
Read 2 more answers
A circle is graphed on this coordinate plane. What is the radius in units of the circle and what is the equation of the circle?​
Anastasy [175]

Answer:

The radius is 4 units, and the equation of the circle is:

(x - 3)^2 + (y + 5)^2 = 16

Step-by-step explanation:

A circle centered at the point (a, b) and with a radius R, is written as:

(x - a)^2 + (y - b)^2 = R^2

In the image, we can see that a segment that cuts the circle in two halves is the segment between the points:

(-1, -5) and (7, - 5)

The distance between these points is the diameter of the circle.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:

D = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)

Then in this case, the distance between the known points is:

D = √( (7 - (-1))^2 + (-5 - (-5))^2)

D = √( 8^2) = 8

The diameter of the circle is 8

Then the radius is:

R = 8/2 = 4

the radius is 4.

Now, to find the center of the circle we just need to go to any of the two extremes of the interval and count 4 units towards the center of the circle, this is:

(-1 + 4, -5) = (3, -5)

or

(7 - 4, -5) = (3, -5)

Then the center of the circle is the point (3, -5) and the radius is R = 4

The equation of the circle is:

(x - 3)^2 + (y - (-5))^2 = 4^2

(x - 3)^2 + (y + 5)^2 = 16

8 0
3 years ago
Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?
ira [324]

Answer:

There are 45 stamps from Africa

Step-by-step explanation:

10% of 150 is 15

30% of 150 is 45

15*3 = 45

8 0
2 years ago
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