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2 years ago

The table shows how the number of pepperoni

Mathematics

1 answer:

velikii [3]2 years ago

6 0

I’ll try, hopefully I get it right

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How many pounds of candy that cells for $0.66 per Ib must be mixed with candy that sells for $1.31 per Ib to obtain 9 Ib of a mi

faltersainse [42]

Answer: $\frac{306}{65}$ pounds

Step-by-step explanation:

Let x pounds of $ 0.66 per lb candies mixed with y pounds of $ 1.31 per lb candies to obtain 9 lb of $ 0.97 per lb candies,

Hence, we can write,

x + y = 9 ------- (1)

And, 0.66 of x + 1.31 of y = 0.97 of (x + y)

⇒ 66 x + 131 y = 97 (x+y)

⇒ 66 x +131 y - 97 x - 97 y = 0

⇒ -31 x + 34 y = 0 ------(2)

By solving equation (1) and (2)

We get,

$x=\frac{306}{65}$ and $y=\frac{279}{65}$

Hence, the quantity of 0.66 per lb candies = $\frac{306}{65}$ pounds

7 0

2 years ago

3. Suppose U= {1,2,3,4,5,6,7,8,9,10} is the universal set and Q= {3,6,9}. What is Q'?

Readme [11.4K]

Answer:

3. Q' = {1 , 2 , 4 , 5 , 7 , 8 , 10} ⇒ answer C

4. A ⊂ B is False ⇒ answer B

Step-by-step explanation:

- The universal set U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10}

- The set Q = {3 , 6 , 9}

- We need to find the complement of set Q (Q')

- The complement set of Q is the set of all elements belongs to the

universal set U but does not belong to the set Q

- That means take off all the elements belongs to set Q from the

universal set U

∵ U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10}

∵ Q = {3 , 6 , 9}

- Cancel from set U the elements 3 , 6 , 9

∴ Q' = {1 , 2 , 4 , 5 , 7 , 8 , 10}

- The universal set U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8}

- The set A= {1 , 3 , 5 , 7}

- The set B= {4 , 5 , 6}

- A ⊂ B means every element in set A belongs to set B

∵ A= {1 , 3 , 5 , 7}

∵ B= {4 , 5 , 6}

∵ The elements in set A ∉ in set B

∴ A ⊂ B is False

7 0

2 years ago

Plz help theses are exponents

ohaa [14]

For number 30 its 3
10

for 34 its 2
1/3

3 0

3 years ago

Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She ne

Vadim26 [7]

Answer:

85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

b/sin(B) = c/sin(C)

b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

4 0

3 years ago

Help me please,Thanks

Alborosie

the formula for volume of a prism is base x height

4 0

2 years ago