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wlad13 [49]
2 years ago
5

44,880 2 poir 8) A pen cost $39 and a pencil cost $17 less. What is the total cost of one pen and two pencils? *​

Mathematics
1 answer:
wariber [46]2 years ago
7 0

Answer:

check online for more information

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What is the product of 5−2i and 3−4i?<br> Enter your answer, in standard form, in the box
Lelechka [254]

Answer:

\boxed{7-26i}

Step-by-step explanation:

The binomials are multiplied in the usual way, using FOIL or the distributive property:

  (5 -2i)(3 -4i) = 15 -20i -6i +8i²

Since i² = -1, this becomes ...

  = 15 -20i -6i -8 = 7 -26i

7 0
3 years ago
How many solutions does the equation have, x1 + x2 + x3 = 10 , where x1 , x2, and x3 are non-negative integers?
MAVERICK [17]

Non-negative integers are positive integers or zero.

1. When x_1=0, then there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=10;
  • x_2=1,\ x_3=9;
  • x_2=2,\ x_3=8;
  • x_2=3,\ x_3=7;
  • x_2=4,\ x_3=6;
  • x_2=5,\ x_3=5;
  • x_2=6,\ x_3=4;
  • x_2=7,\ x_3=3;
  • x_2=8,\ x_3=2;
  • x_2=9,\ x_3=1;
  • x_2=10,\ x_3=0.

In total 11 solutions for x_1=0.

2. For x_1=1, there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=9;
  • x_2=1,\ x_3=8;
  • x_2=2,\ x_3=7;
  • x_2=3,\ x_3=6;
  • x_2=4,\ x_3=5;
  • x_2=5,\ x_3=4;
  • x_2=6,\ x_3=3;
  • x_2=7,\ x_3=2;
  • x_2=8,\ x_3=1;
  • x_2=9,\ x_3=0.

In total 10 solutions for x_1=1.

3. This process gives you

  • for x_1=2 - 9 solutions;
  • for x_1=3 - 8 solutions;
  • for x_1=4 - 7 solutions;
  • for x_1=5 - 6 solutions;
  • for x_1=6 - 5 solutions;
  • for x_1=7 - 4 solutions;
  • for x_1=8 - 3 solutions;
  • for x_1=9 - 2 solutions;
  • for x_1=10 - 1 solution.

4. Add all numbers of solutions:

11+10+9+8+7+6+5+4+3+2+1=66.

Answer: there are 66 possible solutions (with non-negative integer variables)

8 0
3 years ago
Read 2 more answers
A rectangle is 5 inches long and 7 inches wide.How many one-square-inch tiles are needed to cover its area?
Ket [755]

Answer:

35 square inches

Step-by-step explanation:

The formula is bh

b being base and h being height. In this, the width is height and length is base.

5 times 7 is 35

Mark me as brainliest if this helps!

5 0
3 years ago
While eating a big bowl of pho (Vietnamese soup), you discover that the diameter of the bowl is 9 inches. What is the circumfere
Sever21 [200]
Circumference = π × diameter
π × 9 = 28.274333882
To 1dp = 28.3
Circumference = 28.3 inches
7 0
3 years ago
F(x) = 6 (2 – 9), find f-1(x).<br> find the inverse
Tanzania [10]
Try using Symbolab!
4 0
4 years ago
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