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uranmaximum [27]
3 years ago
6

A couch and coffee table cost a total of $1044 . The cost of the couch is three times the cost of the coffee table. Find the cos

t of each item
Mathematics
1 answer:
Irina18 [472]3 years ago
4 0
3x + x = 1044

4x = 1044 - divide both sides by four

x = 261

coffee table - $261
couch - $783
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A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .
insens350 [35]
<h2>Answer:0.2352m</h2>

Step-by-step explanation:

Let the mass of the person be m.

Let the spring constant be k.

Let the displacement in spring be x

Let the acceleration due to gravity be g

As it is given that the person just stands,the forces are balanced.

So,mg=kx

Given,

m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}

60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m

6 0
3 years ago
John rides his bike with a constant speed of 20 km/h. How far can he travel in 2 1/2 hours?
Olegator [25]

Ok so,

20*2= 40

20*1/2=10

40+10=50

So Johncan travel 50 km in 2 1/2 hours.

Hope this helps :)

4 0
3 years ago
Plz help me with 13-16
svetlana [45]

Answer:

13) x = 10

14) x = 22

15) x = 12

16) x = -15

Step-by-step explanation:

13) 4x+5x=9x;90/9=10

14) 45-1=44;44/2=22

15) 37-1=36;36/3=12

16) -54+26=-28;x-28=3x+2;x=-15

6 0
3 years ago
Which of the following numbers is rational but not an integer <br> A.0<br> B.3<br> C.-9<br> D.-4.3
Mashutka [201]

Answer:

Thus, every integer is a rational number. Clearly, 3/2,-5/3, etc. are rational numbers but they are not integers. Hence, every integer is a rational number but a rational number need not be an integer.

Step-by-step explanation:

7 0
3 years ago
Use the intermediate value theorem to determine whether the polynomial function has a real zeros between the given integers.
zavuch27 [327]
f(1)=-5\cdot1^4+8\cdot1^3+6\cdot1+1=-5+8+6+1=10\\&#10;f(2)=-5\cdot2^4+8\cdot2^3+6\cdot2+1=-80+64+12+1=-3\\\\&#10;f(1)>0\\&#10;f(2)
It does.
3 0
3 years ago
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