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Andru [333]
3 years ago
9

Coffee café mix 90 pounds of coffee that cost six dollars per pound the types of coffee used to make this makes you cost seven d

ollars and four dollars per pound how many pounds of the seven dollar per pound coffee should be used in this mixture
Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

y =  60

Step-by-step explanation:

From the  information we get:

x  quantity of 4 dollars  coffee used in the mix

y  quantity of 7 dollars  coffee used in the mix

For the quantity of coffee to be sold a 7 $/pound  ( 90 pounds)

Then  6*90  =  540  $

Therefore

x  +  y  =  90     and

4*x  +  7*y  =  540

A two equations system we solve for x and y

y =  90  -  x

4*x  +  7* ( 90  -  x ) = 540

4*x  +  630 - 7*x  =  540

- 3*x  =  - 90

x = 30 pounds   and

y  =  90  -  30

y  =  60

We should use  60 pounds of the seven $ coffee

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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers​
lidiya [134]

Answer:

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

Step-by-step explanation:

We are given x=\sqrt{3}-1 and we are asked to find the value of x^2-x+1.

So we will need to find x^2.

x=\sqrt{3}-1

Square both sides:

x^2=(\sqrt{3}-1)^2

Expand using identity: (x-a)^2=x^2-2ax+a^2.

x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2

x^2=3-2\sqrt{3}+1

x^2=4-2\sqrt{3}

Let's go back to the full x^2-x+1.

x^2-x+1

(4-2\sqrt{3})-(\sqrt{3}-1)+1

4-2\sqrt{3}-\sqrt{3}+1+1

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

5 0
4 years ago
A scale drawing for a rectangular parking lot measures 7 cm by 13. 3 cm. The scale is 1 cm : 25 m. Find the area of the parking
AleksandrR [38]

Answer:

58,187.5 m²

Step-by-step explanation:

1 cm : 25 m

7 cm = 25 × 7 m

7 × 25 = 175 m

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7 0
2 years ago
Explain why this matrix equation has no solution: A 11 17 −8 13 = 0 0 0 0.
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Given to us

A + [11   17   -8    13] = [0   0   0   0]

<h3>What is the value of matrix A?</h3>

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11   17   -8    13] = [0   0   0   0]

A = [0   0   0   0] - [11   17   -8    13]

A = [-11   -17   +8    -13]

Thus, the matrix is equal to [-11   -17   +8    -13].

<h3>why this matrix equation has no solution?</h3>

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11   17   -8    13] is been added to it.

Thus, the sum of the two matrices has no solution.

Learn more about Matrices:

brainly.com/question/11367104

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