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Sloan [31]
3 years ago
10

A sporting goods store brought in some new mountain bikes that cost $1,200 each and kayaks that cost $800 each. A total of 32 of

these items were acquired , for $30,400 . How many new mountain bikes did the store bring in ? ASAP HELP!
Mathematics
1 answer:
Reika [66]3 years ago
6 0

Answer:

12 mountain bikes

Step-by-step explanation:

1200m+800k=30400

m+k=32

k=32-m

Now solving with substitution we get:

1200m+800(32-m)=30400

1200m+25600-800m=30400

400m=4800

m=12

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How do I solve this please?​
sashaice [31]

Answer:

399

Step-by-step explanation:

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4 0
3 years ago
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Write two point-slope equations for the line passing through the points (6, 5) and (3, 1). Show your work.
NikAS [45]

Answer:

y=-4/3x-3

Step-by-step explanation:

You look for the slope using the the slope formula (m=y2-y1/x2-x1)

You will end up with (m=1-5/3-6)

Simplify to end up with (-4/3) as your slope.

Then, pick a coordinate point. Your choices are (6,5) and (3,1). You will us it to plug into the equation.

I am picking (3,1) The y-value here is 1 and the x-value is 3.

Your equation to find b, or the y-intercept is going to be (1=-4/3(3)+b)

You will have to simplify.

1=-4/3(3)+b

You will multiply -4/3 and -3 and end up with 4 so it looks like...

1=4+b

You subtract 4 on both sides and then end up with....

-3=b

So, the final answer is: y=-4/3x-3

5 0
4 years ago
Read 2 more answers
Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,​
qwelly [4]

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

<u>a</u> is the opposite = 12

<u>b</u> is the Adjacent = 5

<u>c</u> is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12

3 0
2 years ago
What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ?
77julia77 [94]
The coordinates of the rectangle are (-3,-1), (1,3), (3,1) and (-1,-3).

Draw the given rectangle as shown in the figure below.

Calculate the length of the rectangle as
a = √(4² + 4²) = 4√2
Calculate the width of the rectangle as
b = √(2² + (-2)²) = 2√2
Calculate the area of the rectangle as
A = a*b = (4√2) * (2√2) = 16

Answer: 16

4 0
3 years ago
Help! sin^-1(tan(pi/4)
devlian [24]

Answer:

Step-by-step explanation: the best way to get this answer is by using a scientific calculator fx-991es plus I recommend

Let's go manual for now.

Let's covert pi/4 to angle

1⁰ =π/180

1 radian =180/π

Therefore π/4 × 180/π

∅ =45⁰

Sin-¹(tan 45⁰)

Tan 45⁰= 1

Sin-¹ (1) = 90⁰. Press { sin,-¹ (1) } on your calculator

Sin-¹ (tan pi/4) = 90⁰

4 0
3 years ago
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