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Gekata [30.6K]
2 years ago
5

Can anyone walk me step by step through this?

Mathematics
1 answer:
Jlenok [28]2 years ago
5 0

I assume the set A referred to among all the answer choices is actually supposed to be B, or the other way around so that

A = {1, 2, 3, {4, 5, 6, {7}}, 8}

A has <u>5</u> elements:

• 1

• 2

• 3

• {4, 5, 6, {7}}

• 8

Any non-empty subset of A is a set containing at least one of these elements.

The fourth element listed above, {4, 5, 6, {7}}, is itself a set with 4 elements (4, 5, 6, and yet another set {7} that contains just the 1 element 7).

Now,

• { } ⊆ A is true - the empty set is subset of every set

• {2, 3} ⊆ A is true - both 2 and 3 are elements of A, so {2, 3} is a subset of A

• {4, 5, 6, {7}} ⊆ A is false - the set {4, 5, 6, {7}} is an element of A, but not a subset

• {{2, 3}} ⊆ A is false - 2 and 3 are elements of A, but the set {2, 3} is not an element of A, so {{2, 3}} is not a subset

• {{4, 5, 6}, 8} ⊆ A is false - the set {4, 5, 6} is not an element of A

• {{4, 5, 6, {7}}} ⊆ A is true - the set {4, 5, 6, {7}} is an element of A

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Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her $6 per pound. P
Vinil7 [7]

Answer:

3 pounds of peanuts and 2 pounds of cashews

Step-by-step explanation:

Let x be the pounds of peanuts and y be the pounds of cashews

Greta wants to make 5 pounds of a nut mix using peanuts and cashews.

So, x+y=5 ----- A

Cost of 1 pound of peanuts = $4

Cost of x pounds of peanuts = 4x

Cost of 1 pound of cashews = $9

Cost of y pounds of cashews = 9y

Her budget requires the mixture to cost her $6 per pound

So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)

So, 4x+9y=6(x+y) --- B

Plot A and B

x+y=5 ---Blue

4x+9x=6(x+y) ---Green

Refer the attached figure

Intersection point = (x,y)=(3,2)

Hence she should use 3 pounds of peanuts and 2 pounds of cashews

6 0
3 years ago
A triangle has an angle that measures 95°. The other two angles are in a ratio of 3:14. What are the measures of those two angle
Marta_Voda [28]

Answer: 15° and 70°

Step-by-step explanation:

The sum of angles of a triangle is 180.

One of the angle is given to be 95°, this means that the sum of the remaining two angles will be ;

180 - 95 =  85°

The ratio of the two sides is given to be 3 : 14

Calculating the angles of each ,the angle with the ratio 3 will be

3/17 x 85 = 15°

The angle with the ratio 14 will be

14/17 x 85 = 70°

Therefore : the measures of the two angles are : 15° and 70°

7 0
3 years ago
Solve for x show all your work. 10x + 15 = 5x - 10​
sdas [7]

Answer:

x=-5

Step-by-step explanation:

10x + 15 = 5x-10

-5x            -5x

5x+15 = -10

    -15     -15

5x = -25

/5      /5

x = -5

7 0
3 years ago
Ariel, who is 15, is 3 years more than<br> twice the age of Hilary. How old is<br> Hilary?
antoniya [11.8K]

Answer:

6

Step-by-step explanation:

15 - 3 = 12, divide that by 2 and your answer is 6.

3 0
2 years ago
HELPPPP ASSAP WITH THIS QUESTION
arsen [322]
M is always positive is not true.

Hope this helps!
6 0
3 years ago
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