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Alex Ar [27]
3 years ago
6

Define a variable. Write and solve each equation.

Mathematics
1 answer:
ella [17]3 years ago
3 0

The answer is x = 6

Let us first define x to be the number of hours of riding lessons she can take.

X = Hours of lessons

Now, she has $200, she needs to pay $20 for grooming supplies, and the lessons cost $30 an hour. We to find the maximum amount of hours of lessons she can take, so in other words, we want to make her broke. To do this, we first convert the words into an equation:

200 - 20 - 30x = 0

Simplifying, we get

180 = 30x

x=6

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Find the next two terms in the sequence 3, 6, 12, 24, 48, ...
vladimir2022 [97]

Answer:

96 and 192

Step-by-step explanation:

This is a geometric sequence with a common ratio of 2 :

3 × 2 = 6

6 × 2 = 12

12 × 2 = 24

24 × 2 = 48

48 × 2 = 96

96 × 2 = 192

Therefore our final answers are 96 and 192

Hope this helped and have a good day

4 0
2 years ago
Find the measure of the missing angle in the quadrilateral
photoshop1234 [79]

Answer:

11) x=80

12) x=40

13) x=8

6 0
4 years ago
a bird is flying to the right when a gust of wind causes the bird to accelerate leftward at 0.5m/s2 for 3s
natta225 [31]

Answer:

4 m/s

Step-by-step explanation:

A bird is flying to the right when a gust of wind causes the bird to accelerate leftward at 0.5 m/s^2 for 3 s. After the wind stops, the bird is flying to the right with a velocity of 2.5 m/s.

Assuming the acceleration from the wind is constant, what was the initial velocity of the bird before the gust of wind?

Let say Initial Velocity of Bird = U m/s

Final Velocity of Bird V = 2.5 m/s

acceleration a = -0.5 m/s²  ( as opposite to the fly direction)

Time T= 3 sec

Applying formula

V = U + aT

=> 2.5 = U + (-0.5)3

=> 2.5 = U -1.5

=> U = 4 m/s

the initial velocity of the bird before the gust of wind =  4 m/s

8 0
4 years ago
The tables given stretch for the linear functions f(x) and g(x). What is the input value for which f(x) and g(x) is true?
quester [9]
Sd,kisksdiee1e3ifhwlexi1hl22i4rflh`iefwghlpthqde
5 0
3 years ago
What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
ladessa [460]

9514 1404 393

Answer:

  • opposite: 4.88
  • adjacent: 14.18

Step-by-step explanation:

SOH CAH TOA is a mnemonic intended to remind you of the relevant trig relations.

  Sin = Opposite/Hypotenuse   ⇒   opposite = 15×sin(19°) ≈ 4.88 units

  Cos = Adjacent/Hypotenuse   ⇒   adjacent = 15×cos(19°) ≈ 14.18 units

6 0
3 years ago
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