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Romashka [77]
3 years ago
14

Read the passage, and then answer the question that follows:

Mathematics
1 answer:
german3 years ago
8 0

Answer:

your answer should be 1!

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Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back
ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0
3 years ago
Which choice is the correct graph of Ix <3?
yuradex [85]

Answer:

2347 elevated in the cube

Step-by-step explanation:

nashe

3 0
2 years ago
What is the approximate surface area of a sphere with a circumference of 37.68
sergij07 [2.7K]
We must find the radius so we can plug this into the formula for surface area. 

Circumference = 2 \pi r
37.68 = 2 \pi r \\ r = 37.68/2 \pi

We are going to plug this in as our radius for the most accurate answer. 

The surface area of a sphere is 4 \pi  r^{2}

Surface Area = 4 \pi  ( \frac{37.68}{2 \pi }) ^{2} ≈ 451.93 units
6 0
3 years ago
How do you solve 1/2x<13?
Alisiya [41]
You need to get x alone on one side. You need to divide 1/2 on both sides which makes 13 a 26. x<26
4 0
3 years ago
PLEASE ANSWER PLZZZ HELP
stich3 [128]
0.0307 or what are you giving us here?
3 0
3 years ago
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