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pantera1 [17]
3 years ago
9

One case of books weighs 35 pounds. One case of magazines weighs 23 pounds.A book store wants to ship 72 cases of books and 94 c

ases of magazines to another store. What is the total weight of the shipment
Mathematics
1 answer:
RSB [31]3 years ago
6 0
Shipment = 72 cases of books + 94 cases of magazines
1 case of books = 35 pounds
1 case of magazines = 23 pounds

Shipment = 72 × 35 + 94 × 23 pounds

72 × 35 = 2520
94 × 23 = 2162

Shipment = 2520 + 2162 pounds

Shipment = 4682 pounds
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Ymorist [56]

Answer: 3/16 is not equivalent to 3/8

Step-by-step explanation: 3/16 would be like eating 3 pieces of a pie that has 16 pieces whilst 3/8 would be like eating 3 pieces of a pie that has 8 pieces. They are mildly similar but 3/16 is twice as small as 3/8 and henceforth not equivalent.

7 0
3 years ago
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If anyone knows please help me
pishuonlain [190]

Answer:

Step-by-step explanation:

Standard form of a circle is given by,

(x - a)² + (y - b)² = r²

Here, (a, b) is the center and 'r' is the radius of the circle.

For a circle having center (8, -4) and radius r = 1

Equation of the circle will be,

(x - 8)² + (y + 4)² = 1²

(x - 8)² + (y + 4)² = 1

Option (1) is the answer.

Question (2)

Circle with the center (-1, 0) and a point (2, -4) on it,

Radius of the circle = Distance between the center and the given point on                                         circumference

                                = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

                                = \sqrt{(-1-2)^2+(0+4)^2}

                                = \sqrt{9+16}

                                = 5

Therefore, equation of the circle will be,

(x + 1)² + (y - 0)² = 5²

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8 0
2 years ago
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3 years ago
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marysya [2.9K]

Answer: Vector b is not a linear combination

Step-by-step explanation:

First of all we put the vectors in terms of different variables, such as:

a1(1,-2,0)=(a,-2a,0);

a2(0,1,3)=(0,b,3b);

a3(6,-6,18)=(6c,-6c,18c);

To know that a vector is a linear combination we need to express it like a sum of other different vectors.

(2,-2,6)=(a,-2a,0)+(0,b,3b)+(6c,-6c,18c)

(2,-2,6)=(a+0+6c,-2a+b-6c,0+3b+18c)

We express this sum like a system of equations.

a+6c=2

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3b+18c=6

We solve this system of equations and we can note that the system don't have a solution, so the vector b is not a linear combination of a1, a2, and a3.

8 0
2 years ago
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AleksAgata [21]

Answer:

10

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Multiplying both sides by 14

2*3=h-(2*2)

6=h-4

h=6+4

h=10

3 0
3 years ago
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