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Naddika [18.5K]
3 years ago
10

It costs $35 per hour to rent a boat at the lake. You also need to pay a $25 fee for safety equipment. You have $200. For how lo

ng can you rent the boat?
Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0
$25 + $35x = $200
$35x = $175 (subtracted the 25)
x = 5 hours (divided the 35)

So you could rent the boat for 5 hours.
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What is the expression in factored form?x^2+13x+14
nydimaria [60]

Answer:

\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).

Step-by-step explanation:

To factor the expression x^2+13x+14 you need to know its roots.

First find the discriminant of this quadratic polynomial:

D=13^2-4\cdot 1\cdot 14=169-56=113.

Then the roots of the expression x^2+13x+14 are

x_{1,2}=\dfrac{-13\pm \sqrt{113}}{2}.

Now the factored form is

\left(x-\dfrac{-13+\sqrt{113}}{2}\right)\left(x-\dfrac{-13-\sqrt{113}}{2}\right).

8 0
3 years ago
If x is a positive integer then the solution set of 4x+2<14 is
taurus [48]
4x + 2 < 14
4x < 14 - 2
4x < 12
x < 12/4
x < 3 S = { x <3 }
3 0
3 years ago
Write using exponential notation?<br> 5.5.2.2.2.2
inna [77]

Answer:

5 ^{2}  \times 2^{4}

Step-by-step explanation:

Multiplying 5 by itself is the same thing as raising it to the second power:

5 \times 5 = {5}^{2}  = 25

We multiply 2 by itself two seperate times. That's the same thing as raising 2 to the second power to the second power or in simpler terms raising two to the fourth power:

2 \times 2 \times 2 \times 2 = {({2}^{2})}^{2}  =  {2}^{4}  = 16

Since only multiplication is present, we can combine the two terms to get:

5^{2}  \times  {2}^{4}

4 0
2 years ago
Sara ran 10km in 2.5 hours. Katerina ran 7.5 km in 2 hours. Candice ran 9.5 km in 2.25 hours. Who had the fastest average speed?
Arisa [49]

10 km ÷ 2.5 hours = 4 km/h — This is Sara's record

7.5 km ÷ 2 hours = 3.75 km/h — This is Katerina's record

9.5 km ÷ 2.25 hours = 4.2 km/h — This is Candice's record

Therefore, the answer is Candice had the fastest average speed.

6 0
4 years ago
A video game was originally priced at $50, but Tess waited to buy it until the video game was
DENIUS [597]

Answer:

$21

Step-by-step explanation:

$50×.60=$30

$50-$30=$20

$20×.05=$1

$20+$1=$21

3 0
3 years ago
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