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iragen
3 days ago
6

A traveler comes upon a fork in the road on the path to the travelers right a sign reads Mercer 24 km

Mathematics
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A baby wriggled so much that weighing him at the clinic was a problem. So the doctor held the baby and stood on a scale. Then th
babunello [11817]
Let X denote <span>the baby’s weight.
Let y represent </span>the doctor’s weight.
Let z stand for the nurse’s weight.

From the equations: x + y = 78 implies y = 78 - x
and x + z = 69 gives z = 69 - x
then we have x + y + z = 142

Substituting y = 78 - x and z = 69 - x into the equation x + y + z = 142

x + y + z = 142
x + 78 - x + 69 - x = 142
-x + 147 = 142
-x = -5
x = 5

Conclusion

<span>the baby’s weight was 5 kg</span>
6 0
1 month ago
Read 2 more answers
A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening
lawyer [12517]
Since this parabola intersects the center, its formula is:

y = ax². Given that it opens downward, the coefficient a must be negative.

Thus, the equation can be expressed as:

y = - ax², with the axis of symmetry located at x = 0.

The height measures 84 ft when the parabola's opening is 42 ft wide.
This indicates that for the height y, the corresponding x-values are +21 and -21 (due to symmetry).
To find a, let's substitute y and x with their respective values:

y = - ax²

84 = - a(21)²

84 = - a(441), leading to a = - 84/441 ↔ a = - 4/21.

Therefore, the final equation is: y = -4/21 x².
3 0
2 months ago
An average person in the country needs 2,450 kilocalories / day of food to meet their full nutritional needs. The average number
tester [12383]

Answer:

Area of land = 0.056 hectares

Detailed explanation: Knowing that

A typical person in the country requires 2,450 kilocalories each day. This means

An individual consumes 2450 kilocalories daily

The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.

Thus, in one day, for one individual, we have

15737000 = 2450/hec

Hectare = 2450/15737000

Hectare = 1.5568 × 10 -4

The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be

Calculated hectare × 365.25

Hectare = 1.5568 × 10 -4 × 365.25

Area of land = 0.056 hectares

7 0
2 months ago
Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin. Complete the table to show the locations of A
lawyer [12517]

Answer:

A

Step-by-step explanation:

4 0
2 months ago
Brian pays £475.29 a year on his car insurance. The insurance company reduces the price by 2.1%.
zzz [12365]

Response:

470.12??? not certain!!!!

Step-by-step explanation:

3 0
2 months ago
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