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sp2606 [1]
3 years ago
13

Mason and Nora decided to swim across the river. Mason began swimming 7.7 seconds earlier than Nora. Mason swam at a speed of 5

feet per second. Nora swam at a speed of 5+1 feet per second. For how many seconds had Mason been swimming at the moment when the two swimmers had swam exactly the same distance?
Mathematics
1 answer:
user100 [1]3 years ago
7 0
Let d be distance travelled when they are level , and t = time that nora took to get level with mason for Nora 6 = d/t d = 6t for Mason 5 = d / (t + 35) d = 5 ( t + 350 so 6t = 5(t + 35) solve for t
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Someone help me plz!!
likoan [24]

Answer: x=15

Step-by-step explanation:

Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....

(7x-10)+ (6x-5)=180

Kay so now we can combine like terms.

13x-15=180

Now we can add 15 to both sides.

13x=195

Finally Divide 13 on both sides.

X would then now equal 15.

6 0
3 years ago
The extensions of the legs AB and CD of a trapezoid ABCD intersect at point E. Find the lengths of the sides of △AED if AB=5cm,
Lynna [10]

Answer:

  AE = 15 cm; ED = 18 cm; AD = 15 cm (given)

Step-by-step explanation:

ΔBEC ~ ΔAED so ...

   AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE

Substituting given numbers (lengths in centimeters), we have ...

  15/10 = 1 + 5/BE

  1/2 = 5/BE

  BE = 10

Similarly, ...

  1/2 = 6/CE

  CE = 12

Then the unknown sides are ...

  AE = AB + BE = 5 + 10 = 15 . . . cm

  ED = CE + CD = 12 + 6 = 18 . . . cm

8 0
4 years ago
what is the probability of drawing two blue cards if the first card is not included in the second draw? simplify your answer com
BlackZzzverrR [31]

Answer:

5/14

Step-by-step explanation:

The total number of cards is 8

There are 5 blue cards

P(1st card is blue) = blue/total = 5/8

We take away a blue card

The total number of cards is 7

There are 4 blue cards

P(2nd card is blue) = blue/total = 4/7

The probability of blue blue is P(blue blue ) =

P(1st card is blue)*P(2nd card is blue) =

5/8* 4/7

20/56

We can divide the top and bottom by 4

5/14

3 0
3 years ago
An equation is shown below: 8x + 2(x – 7) = 7x + 3x – 14 Part A: Solve the equation and write the number of solutions. Show all
marta [7]

Answer:

  1. Infinitely Many
  2. Distributive Property

Step-by-step explanation:

8x + 2(x - 7) = 7x + 3x - 14

8x + 2x - 14 = 7x + 3x - 14                 Distributive property.

10x - 14 = 10x - 14                              Combine the like terms.

-14 = -14                                             Subtraction.

0 = 0                                                  Addition.

Since the statement 0 = 0 is true regardless of the value of x, there is infinitely many solutions.

7 0
2 years ago
-4(4-x)=4/5(x+16) I need help
Dominik [7]

Answer:

x=9

Step-by-step explanation:

−4(4−x)=4/5(x+16)

(−4)(4)+(−4)(−x)=(4/5)(x)+(4/5)(16)(Distribute)

−16+4x=4/5x+64/5

4x−16=4/5x+64/5

4x−16−4/5x=4/5x+64/5−4/5x

16/5x−16=64/5

16/5x−16+16=64/5+16

16/5x=144/5

(5/16)*(16/5x)=(5/16)*(144/5)

x=9

hopfully this helps answer: x=9

4 0
3 years ago
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