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3 years ago

Convert y=-1/4x+4 in standard form

Mathematics

1 answer:

kondor19780726 [428]3 years ago

3 0

Idk but I think it is 3 so hope it is right so please accept

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A motorboat maintained a constant speed of 15 miles per hour related to water going 44 miles upstream then returning the total t

yanalaym [24]

The speed of the current is 13 mph

<h3>What is speed?</h3>

speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.

The unit for speed as used here is miles per hour and can be written in short form as mph

<u>Given data</u>

speed of boat = 15 miles per hour = 15 mph

distance = 44 miles upstream

total time for the trip = 7.5 hours

<h3>solving for the speed of the current</h3>

let the water current be x

speed = distance / time

the total travel time upstream and downstream is known

for upstream

15 - x = 44 / time

time = 44 / 15 - x

for downstream

15 + x = 44 / time

time = 44 / 15 + x

total time = time for upstream + time for downstream = 7.5

7.5 = (44 / 15 - x ) + ( 44 / 15 + x )

7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x )( 15 - x )

7.5 ( 15 + x )( 15 - x ) = 210 +44x + 210 - 44x

7.5 ( 225 - x ^ 2 ) = 420

( 225 - x ^ 2 ) = 56

169 = x ^ 2

x = sqrt ( 169 )

x = 13 miles per hour

hence speed of current is 13 miles per hour

Read more on speed here: brainly.com/question/4931057

#SPJ1

3 0

1 year ago

Help Please!!!!!!!!!!!<br><br> Questions 9 and 10

Sphinxa [80]

Answer:

Step-by-step explanation:

1. ∠ACB ≅∠ECD ; vertical angles are congruent (A)

2. C is midpoint of AE ; given

3. AC ≅CE; midpoint divides the line segment in 2 congruent segments (S)

4.AB║DE; given

5. ∠A≅∠E; alternate interior angles are congruent (A)

6. ΔABC≅ΔEDC; Angle-Side-Angle congruency theorem

1. YX≅ZX; given (S)

2. WX bisects ∠YXZ; given

3. ∠YXW≅∠ZXW; definition of angle bisectors (A)

4. WX ≅WX; reflexive propriety(S)

5. ΔWYX≅ΔWZX; Side-Angle-Side theorem

3 0

2 years ago

The new total is $60,but the sales tax is 5% of the bill. How much is the sales tax?

Serhud [2]

3. .5*60 because .5 represents the 5% and "of" stands for multiplication

7 0

2 years ago

Read 2 more answers

Explain how you can how do you rename 5400 as hundreds

umka2103 [35]

I think it is fifty-four hundred

8 0

2 years ago

A bag contains 3 red, 4 blue, and 6 yellow marbles. One marble is selected at a time, and once a marble is selected, it is not r

astraxan [27]

The probability of choosing two yellow marbles = 5/26

Step-by-step explanation:

Step 1 :

Given

Total number of marbles in the bag = 13 marbles

Number of yellow marbles = 6.

We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.

Step 2 :

Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles = $\frac{6}{13}$

Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.

Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles = $\frac{5}{12}$

Step 3:

P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)

P(yellow in first 2 tries) = $\frac{6}{13} * \frac{5}{12}$ = $\frac{5}{26}$

Step 4:

Answer:

The probability of choosing two yellow marbles = 5/26

4 0

3 years ago