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zloy xaker [14]
3 years ago
13

A kayaker can paddle 12 mi in 2 h moving with the river current. Paddling at the same pace, the trip back against takes 4 h. Ass

ume that the river current is constant. Find what the kayakers speed would be in still water.
Mathematics
1 answer:
Firdavs [7]3 years ago
7 0
Downstream DATA:
distance = 12 miles 
time = 2 hours 
rate = 12/2 = 6 mph
----------------
Upstream DATA:
distance = 12 miles 
time = 4 hrs 
rate = 12/4 = 3 mph
----
Equations:
Downstream: b + c = 6
Upstream::: b - c = 3
------
Add to get:
2b = 9
b = 4.5 mph (speed of the boat in still water.)
-----
Solve for "c":
b + c = 6
4.5 + c = 6
c = 1.5 mph (speed of the current)
The answer is 1.5 mph
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6) find HJ<br> 8)find IK
Anastasy [175]

Answer:

HJ = 17

IK = 30

Step-by-step explanation:

to find HI :

GH : 2

HI : ?

IJ : 12

GI : 7

HI = GI - GH

HI = 7- 2

HI = 5

HI + IJ = HJ

5 + 12 = HJ

17 = HJ

To find IK

IJ = ?

JK = 12

KL = ?

IL = 49

JL = 31

To find IK we need to find KL and IJ

KL = JL - JK

KL = 31 - 12

KL = 19

IJ = IL - (JK + KL)

IJ = 49 - 31

IJ = 18

IK = IJ + JK

IK = 18 + 12

IK = 30

4 0
3 years ago
In Mr. Scott’s class the ratio of boys to girls is 2:3. The total number of students in Mr. Scott’s class is 30. What percent of
Yuri [45]

Answer:

40% of the class is Girls, so 12 students are girls

Step-by-step explanation:

add up the ratio

2+3=5

divide by 5

30/5=6

multipy ratio to find totial number of students

2*6=12

2*3=18

divide the number of students to get the pecentage

12/30=0.4=40%

18/30=0.6=60%

5 0
3 years ago
A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muf
n200080 [17]

Answer:

Graph the linear equation.

Step-by-step explanation:

8 0
1 year ago
Suppose at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard. Also, 30% of the
Doss [256]

Answer:

0.6,0.7,0.3 neither disjoint nor independent.

Step-by-step explanation:

Given that at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard.

A= visa card

B = Master card

P(A) = 0.60 and P(B) = 0.40

P(AUB)' = 0.30

i.e. P(AUB) = 0.70

Or P(A)+P(B)-P(AB) =0.70

P(AB)= 0.30

Randomly select a student from the university.

1) the probability that this student does not have a MasterCard.

= P(B') = 1-0.4 =0.6

2.  the probability that this student has either a Visa card or a MasterCard.

=P(AUB) = 0.70

3. Calculate the probability that this student has neither a Visa card nor a MasterCard.

=P(AUB)' = 0.30

4. Are the events A and B disjoint? Are the events A and B independent?

A and B have common prob 0.30 hence not disjoint.

P(AB) ≠P(A)P(B)

Hence not independent

6 0
3 years ago
Can you please show work if you can. Thank you
klemol [59]
17-34(304)$-5 this is what I put
7 0
3 years ago
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