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lys-0071 [83]
2 years ago
15

Helen went to the grocery store to buy potatoes. The store charges $1.13 for each pound of potatoes. On the way out of the store

, Helen picked up a gallon of ice cream at a cost of $4.41. If Helen spent $11.19 at the store, how many pounds of potatoes did she purchase? Assume tax is included in the given price.
A. 7
B. 6
C. 8
D. 11
Mathematics
2 answers:
Tamiku [17]2 years ago
6 0
It is 6 because 6 x 1.13 = 6.78 and
11.19 - 4.41 = 6.78
Bingel [31]2 years ago
3 0
It would be 8 because I did the math
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What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0
slava [35]

Answer:

  130

Step-by-step explanation:

You want the determinant of the matrix ...

  \left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right]

One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:

  D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)

  = 12 -15 +24 +2 +80 +27

  D = 130

The determinant of the coefficient matrix is 130.

_____

Many scientific and graphing calculators and web sites can perform this calculation for you.

7 0
3 years ago
An 8-inch dinner knife is sitting on a circular plate so that its ends are on the edge of the plate. If the minor arc that is in
ankoles [38]

The diameter of the plate is 9.24 inches

Step-by-step explanation:

Let us consider the radius to be 'r'

Angle = 120°

Chord length = 8 inches

Chord length = 2rsin(θ/2)

8 = 2r sin(120/2)

8 = 2r sin60°

8/2 = r (√3/2)

4/(√3/2) = r

r = 8/√3

r = 8/1.73

r = 4.62 inches

Diameter of the plate = 2(4.62)

= 9.24 inches

The diameter of the plate is 9.24 inches

7 0
3 years ago
On Monday, 325 students went on a trip to the zoo. All 8 buses were filled and 5 students had to travel in cars. How many studen
KatRina [158]

Answer:40

Step-by-step explanation:

325 students - 5 going in cars.

320 students left / 8 busses = 40 students per bus

4 0
3 years ago
Can someone please tell me the ans of question no. 5, 7 and 12
uysha [10]

Step-by-step explanation:

Z²=x³

Z²=9³

Z= √9³

Z= 27

7 0
3 years ago
Represent the following expressions as a power of the number a (a≠0): c ((a2)−2)5÷(a4a)3
s2008m [1.1K]

Answer:

1/a²⁷

Step-by-step explanation:

Given: $ \frac{((a^2)^{-2})^5}{a^4.a^3} $

We know that when the bases are same the powers can be added. i.,e.,

                                           (xᵃ)ᵇ = x ⁽ᵃ ⁺ ᵇ⁾

⇒ $ \frac{((a^2)^{-2})^5}{a^4.a^3} \implies \frac{(a^2)^{-10}}{a^7} $

$  \implies \frac{a^{-20}}{a^7} = a^{-20 - 7} = a^{-27} $

Also, $ \frac{x^a}{x^b} = x^{a - b} $

This is nothing but, $ \frac{1}{a^{27}} $.

Note that $ a $ cannot be zero here. The condition is provided in the question as well.

7 0
3 years ago
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