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kompoz
2 months ago
12

Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delive

ry/set-up fee of $45. Company B charges $12 for each pizza and a delivery/set-up fee of $5. Which inequality can be used to find x, the least number of pizzas that can be ordered so that the total charge for Company A is less than the total charge for Company B?
A) 8 + 45x > 12 + 5x

B) 8 + 45x < 12 + 5x

C) 8x + 45 < 12x + 5

D) 8x + 45 > 12x + 5


Q. 2 - The cost of a candy bar in a vending machine is $0.95. The cost of a bottle of water in the same machine is $1.25. Jamie has $25.00 to spend on candy bars and bottles of water for her friends. She must buy nine candy bars. If b represents the number of bottles of water, which inequality represents all the possible values of b?

A) 1.25(9) + 0.95b ≥ 25

B) 1.25(9) + 0.95b ≤ 25

C) 0.95(9) + 1.25b ≥ 25

D) 0.95(9) + 1.25b ≤ 25


Q. 3 - Oliver needs to save at least $1500 to buy a computer. He has already saved $650. How much more does he need to save? Write and solve an inequality.

A) x + 650 ≥ 1500; x ≥ 850

B) x + 650 ≤ 1500; x ≤ 850

C) x + 1500 ≤ 650; x ≤ -850

D) x + 1500 ≥ 650; x ≥ -850

Q.4 - Joel's family has four more pets than Brian's family. Together the two families have at least 7 pets. Let x represent the number of pets Brian's family has. Which inequality can be used to find the possible numbers of pets Brian's family has?


A) x + 4 ≥ 7

B) 2x + 4 ≥ 7

C) 2x + 4 ≤ 7

D) 2x - 4 ≥ 7
Mathematics
2 answers:
tester [12.3K]2 months ago
7 0

Answer:

I'm going to claim the points since this is my own question from my other account...lol

Step-by-step explanation:

lawyer [12.5K]2 months ago
3 0

Answer:

4. A) \displaystyle x + 4 ≥ 7

3. A) \displaystyle x + 650 ≥ 1500; x ≥ 850

2. D) \displaystyle 0,95(9) + 1,25b ≤ 25

1. C) \displaystyle 8x + 45 < 12x + 5

Step-by-step explanation:

4. Two families combined must have at least 3 pets.

3. $1500 represents your total, making everything else straightforward, as the keywords at least indicate that the a sum of $1500 must be greater or equal to $1500.2. Find the correspondents, then identify the inequality to apply. Here, use less than or equal because overpaying is unnecessary.1. Eight dollars

for each

pizza and twelve dollars for each pizza yields 12x and 8x. The remainder follows logically, as we have our initial costs of $45 and $5, so Company A’s total would be less than Company B's total, leading directly to our conclusion.I’m happy to assist with any further queries.

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1 month ago
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You are painting a room. After 18 minutes, 64% of the room still needs painted. How long does it take to paint the entire room?
lawyer [12517]

Answer:

A) The total duration needed to paint the room is 50 minutes.

B) To paint 64% of the room takes 32 minutes.

Step-by-step explanation:

Given as:

After 18 minutes, 64% of the room still requires painting.

Therefore, within 18 minutes, (100% - 64% = 36%) of the room has been painted

Let T minutes be the total time required to paint the entire room.

Now, according to the question

A ) Using the unitary method

∵ In total, 36% of the room is covered in 18 minutes

Thus, in total time of \dfrac{18}{36} minutes, 1% of the complete room is painted.Consequently, 100% of the room would be painted in \dfrac{18}{36} × 100 minutes

i.e T = \dfrac{18\times 100}{36}

Thus, T = 50 min

Therefore, the duration needed to paint the entire room = T = 50 minutes

Thus, the time required to finish painting the entire room is 50 minutes. Answer

B) Again

Time taken to paint 64% of the room = x minutes

∵ 36% of the room has been painted in a total of 18 minutes

Thus, 1% of the entire room gets painted in \dfrac{18}{36} minutes

Consequently, painting 64% of the room will take \dfrac{18}{36} × 64 minutes

i.e x = \dfrac{18\times 64}{36}

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5 0
1 month ago
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a
babunello [11817]

Answer:

A. Combining one pound of pistachios with one pound of almonds costs $20.

C. Decreasing the almond quantity by one pound leads to a total price of $40.

E. The price p (in dollars) per pound of pistachios is represented by the equation 2p + 3(p – 4) = 48.

Step-by-step explanation:

Let:

x = cost per pound of pistachios

y = cost per pound of almonds

We know that

x = y + 4 (Equation A)

2x + 3y = 48 (Equation B)

Substitute x from Equation A into Equation B:

2(y + 4) + 3y = 48

2y + 8 + 3y = 48

5y = 48 – 8

y = 8

Find x:

x = 8 + 4 = 12

Therefore, pistachios cost $12 per pound and almonds cost $8 per pound.

Verify the statements:

Case A) One pound of each equals $20.

True, since 12 + 8 = 20.

Case B) Pistachios cost twice as much as almonds.

False, because 2 × 8 = $16 ≠ $12.

Case C) Reducing almond pounds by 1 yields $40 total.

True, as 2(12) + 2(8) = 24 +16 = 40.

Case D) The almond cost modeled by 2(a – 4) + 3a = 48.

False; it should be 2(a + 4) + 3a = 48.

Case E) The pistachio cost modeled by 2p + 3(p – 4) = 48.

True, since p = a + 4 implies a = p – 4.

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A frame around a rectangular family portrait has a perimeter of 60 inches. The length is 15 inches less than 2 times the width.
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w = 10

The length is calculated as 2(10) - 5 = 20 - 5 = 15

I hope this is useful!!
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2 months ago
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