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antiseptic1488 [7]
1 year ago
8

anna can buy 3 sweatshirts for a total of $45.how much would it cost if she were to buy 5 sweatshirts at same price?

Mathematics
1 answer:
Feliz [49]1 year ago
6 0

Answer: Anna could buy 5 sweatshirts for $75.

Step-by-step explanation:

lets figure out the price of one sweatshirt.

45/3 = 15

one sweatshirt is $15

5*15=75

so 5 sweatshirts cost $75

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Prove that x is a subset of y then x union z is a subset of y union z for all sets x y and z
Ganezh [65]

We are to show that if X ⊆ Y then (X ∪ Z) ⊆ (Y ∪ Z) for sets X, Y, Z.

Assume that a is a representative element of X, that is, a ∈ X. By the definition of union, a ∈ X ∪ Z. Now because X ⊆ Y and we assumed a ∈ X, then a ∈ Y by the definition of subset. And because a ∈ Y, then a ∈ Y ∪ Z by definition of union.

We chose our representative element, a, and showed that a ∈ X ∪ Y implies that a ∈ Y ∪ Z and this completes the proof.

4 0
2 years ago
Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushup
marishachu [46]

Answer:

8 + 2x = 30

Step-by-step explanation:

Given,

The initial number of push-ups he does in each day = 8,

And, the number of push-ups, he increases per day = 2,

Let x be the number of days after he will reach his target of 30 push-ups,

Since, the number of push-ups she will increase in x days = 2x,

Thus, the number of push-ups she will do after x days = 8 + 2x,

⇒ 8 + 2x = 30, which is the required equation.

4 0
1 year ago
a coast Guard ship patrols an area of 125 square miles. the are the ship patrols is a square. about how long is each side of the
Salsk061 [2.6K]
31.25 is answer , rounded answer would be 30 miles each side.
5 0
2 years ago
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
poizon [28]
<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

<u>To solve this, we divide both sides by 1.29: </u>
</span>\frac{1.29x}{1.29}<span> ≤ </span>\frac{20}{1.29}<span>;
x ≤15.5.

We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
8 0
2 years ago
Read 2 more answers
Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a
Leto [7]

Answer:

2.45c + 1.65c = 4.12 + 0.75

Step-by-step explanation:

To write an equation to find the value for c, we need to declare what c is first.

c = price of fruit

2.45c + 1.65c = 4.12 + 0.75

Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.

Now to check if the equation is right, let's solve for c.

2.45c + 1.65c = 4.12 + 0.75

4.1c = 4.87

Now to get the value of c, we divide both sides of the equation by 4.1.

\dfrac{4.1c}{4.1}=\dfrac{4.87}{4.1}

c = 1.19

Now let's substitute the value of c in the equation to see if we got it right.

2.45(1.19) + 1.65(1.19) = 4.12 + 0.75

2.92 + 1.96 = 4.87

4.87 = 4.87

Therefore concluding that the value of c is 1.19.

7 0
2 years ago
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