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Alex_Xolod [135]
3 years ago
6

Maya adds 6 grams of sugar to a bottle containing 14 grams of warm water. What is the total weight of the sugar and water?

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0

Answer:

The total weight of the sugar and water  is 20 grams

Step-by-step explanation:

Given;

weight of sugar Maya added, w₁ = 6 grams

weight of water contained in the bottle, w₂ = 14 grams

The total weight of the sugar and water = 6 grams + 14 grams

The total weight of the sugar and water = 20 grams

Therefore, the total weight of the sugar and water in the bottle is 20 grams.

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Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s
Elenna [48]

I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

  • <em><u>5.3 hours</u></em>

Explanation:

<u>1) Time it takes Ashley to preprate one bag: </u>

  • 2/3 min

<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>

  • 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
  • 2/3 min + 1/2 min = 7/6 min

<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>

  • Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

  • Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

  • Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

  • Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

<u>4) Time of prepare 1575 bags of samples:</u>

  • time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

<u>5) Convert minutes to hours:</u>

  • 356.56 min × 1 hour / 60 min = 5.3 hours
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melamori03 [73]

Answer: 6x - 18 (choice C)

Angle TSR is the same as angle RST. The order of the letters doesn't matter as long as the middle letter is the same (known as the vertex point).

Segment SQ bisects angle RST, so that means the two smaller pieces (angle TSQ and angle RSQ) are exactly half in measure compared to angle RST. Put another way, angle RST is twice that of angle RSQ

So,

angle RST = 2*(angle RSQ)

angle RST = 2*(3x - 9)

angle RST = 2*(3x) + 2*(-9)

angle RST = 6x - 18

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Step-by-step explanation:

1700 + 2029.8x = 10,000

2029.8x= 10,000-1700

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