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dlinn
12 days ago
10

Mariana's salary is $31,000. Juan's salary is

Mathematics
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If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find the value of x and the measure of RS.
tester [12383]

Response: 13x-14

Detailed explanation:

5x+17+8x-31

4 0
2 months ago
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You’re working in a pharmacy, and are making a table to help with dosage amounts for a certain drug. The recommended dosage is 4
lawyer [12517]

Answer: Children who weigh 10 pounds require 12 teaspoons, those at 15 pounds need 18 teaspoons, and for 30 pounds, it is necessary to have 36 teaspoons.

Step-by-step explanation:

We have a recommended dose of 40 mg per 2.2 pounds of weight, given in three doses throughout the day every 8 hours.

Thus, for a single pound, the daily required dosage is calculated as \dfrac{40}{2.2}=18.18\ ml.

Each individual dose corresponds to \dfrac{18.18}{3}=6.06\ ml of the drug.

This means for one pound, the dosage needed per dose is 6.06 ml.

Thus, for 10 pounds, the calculation is 10 x 6.06 ml = 60.6 ml

To convert ml to teaspoons, knowing that 1 teaspoon equals 5 ml, we find: (60.6 ml ÷ 5) = 12.12 ≈ 12 teaspoons.

For a weight of 15 pounds, the drug requirement is 15 x 6.06 ml = 90.9 ml.

This translates to (90.9 ml ÷ 5) = 18.18 ≈ 18 teaspoons.

For the weight of 30 pounds, it is calculated as 30 x 6.06 ml = 181.8 ml.

Converting this gives us (181.8 ml ÷ 5) = 36.36 ≈ 36 teaspoons.

Therefore, children weighing 10 pounds need 12 teaspoons, those at 15 pounds require 18 teaspoons, and those at 30 pounds need 36 teaspoons.

7 0
3 months ago
What is the surface area of the regular pyramid below
babunello [11817]

S=14\times14+4(\frac{14}{2}\times18) \\S=196+4(7\times18) \\S=196+4\times126 \\S=196+504 \\S=\boxed{700}

5 0
2 months ago
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Kelly, Laura, and Tia so boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia so twice as many boxes as K
babunello [11817]
Laura sold 32 boxes, Kelly sold 17, and Tia sold 34 boxes. Step-by-step explanation: Let Laura's boxes be represented by L. Kelly sold L - 15, and Tia sold 2(L - 15). Therefore, the equation L + (L - 15) + 2(L - 15) = 83 can be solved as follows: 4L - 45 = 83, giving us 4L = 128, hence L = 32. Subsequently, Laura sold 32 boxes, Kelly sold 17 (which is 32 - 15), and Tia sold 34 (totaling twice Kelly's sales). The overall total is 32 + 17 + 34 = 83.
7 0
1 month ago
Read 2 more answers
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