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FrozenT [24]
3 years ago
7

A store sells tents,sleeping bags,and campstools.A customer buys a tent, 2 sleeping bags, and 3 campstools for 212$.the price of

the tent is 5 times the cost of a campstool.the cost of a sleeping bag is 6$more than the cost of a campstool.find the cost of was just item
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

The cost of each campstools, tent and sleeping bag is $20, $100 and $26

let

tent = 1

sleeping bags = 2

campstools = 3

Total cost = $212

tent = t

sleeping bags = s

campstools = c

If

t = 5c

s = c + 6

Total = t + 2s + 3c

212 = 5c + 2(c + 6) + 3c

212 = 5c + 2c + 12 + 3c

212 = 10c + 12

212 - 12 = 10c

200 = 10c

c = 200/10

c = 20

t = 5c

= 5 × 20

= 100

s = c + 6

= 20 + 6

= 26

Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26

Learn more about equation:

brainly.com/question/4916384

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Alexandra [31]

To find both f(8) and f(-5), we will need to plug in their values for x and solve for each. Then, we can subtract them to find the final answer.

Finding f(8):

f(8) = 3(8) - 2

f(8) = 24 - 2

f(8) = 22

Finding f(-5):

f(-5) = 3(-5) - 2

f(-5) = -15 - 2

f(-5) = -17

Subtracting f(8) and f(-5):

f(8) - f(-5)

22 - - 17

22 + 17

39

Hope this helps!! :)

6 0
3 years ago
A machine in an office can shred 65 sheets of paper every 5 seconds. How many sheets of paper can the machine shred in 60 second
Tema [17]

Answer:

780 sheets

Step-by-step explanation:

we know that

A machine can shred 65 sheets of paper every 5 seconds

so

using proportion

Find out how many sheets of paper can the machine shred in 60 seconds

7 0
3 years ago
Read 2 more answers
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give
goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

     = 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=y%3Dx%2B3y%3Dx-1" id="TexFormula1" title="y=x+3y=x-1" alt="y=x+3y=x-1" align="absmiddle" class
Dominik [7]

Answer:

y = x + 3y = x - 1

Step-by-step explanation:

Just graph them!

Hope I could help.

5 0
3 years ago
Find the length of each arc. Use the exact answer
Cerrena [4.2K]

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

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r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

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So, the arc length is 16π/3 ft

3 0
3 years ago
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