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Iteru [2.4K]
3 years ago
13

To win a relay race, you must swim 200 yards before your opponent swims 190 yards. You swim at a pace of 50 yards every 40 secon

ds. Your opponent swims at a pace of 10 yards every 8.5 seconds. Who wins the race?
Mathematics
1 answer:
lora16 [44]3 years ago
6 0

Answer:

You would win the race

Step-by-step explanation:

You would have to swim for 2 minutes and 40 seconds which is the same as 160 seconds.

The opponent would swim

19 \times 8.5

Which is161.5 seconds

This means you would win

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1. The sum of x and -45 is at most 35
Lorico [155]

Answer:

The given set of equation are:   x+ (-45) ≤  35  ,  x - (-45) ≥  35

For the given equality to be true, x  ≤ 35

Step-by-step explanation:

Here, given the first number = x

Second number  = -45

Now, Sum of x  and - 45 is at most 35.

⇒ x+ (-45) ≤  35

Also,  The difference of x and -45 is at least 35.

⇒ x - (-45) ≥  35

Now, simplifying the given set of equations:

x  - 45  ≤  35  ⇒    -x - (-45) >   - 35   ( as 3  <  4  ⇒ -3  > -4)

or, -x  + 45  >  - 35

and second equation is x  + 45 ≥  35

Now, solving both the equations by not taking sign of inequality in to the consideration, we get

x - 45  = 35

x + 45 = 35  

Adding both equations,we get:   ⇒ 2x = 70

                                                          or x = 35

Hence for the given equality to be true, x  ≤ 35

5 0
3 years ago
Fourteen percent of the towns population is over the age of 65. If there are 320 residents over the age of 65, approximately wha
Alex777 [14]
320 times 0.14 = 44.8

So 45 people are over the age of 65
8 0
3 years ago
What is the value of the expression. -8-(-3) <br> = -8 blank 3 <br> = blank
Mashutka [201]

Answer:

Step-by-step explanation:

-(-)=+

so  -8-(-3)=-8+3

=-5

6 0
3 years ago
X/5 = 15 (Solving Linear Equations)
tiny-mole [99]
\dfrac{x}{5}=15\\&#10;x=75
3 0
4 years ago
Solve for all values of x by factoring. x^2+3x+8=-3x+3
docker41 [41]

Answer:

x = -1,-5

Step-by-step explanation:

X^2 + 3x + 5 = -3x

x^2 + 6x + 5 = 0

(x + 5)(x + 1) = 0

x = -1,-5

6 0
3 years ago
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