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julia-pushkina [17]
2 years ago
13

1/2x - 5 + 2/3 = 7/6x + 4

Mathematics
1 answer:
valina [46]2 years ago
3 0
Exact form:-25/2
decimal form: -12.5
mixed number form:-12 1/2
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Tabby read 254 pages in 8 days. What is her unit rate in pages per day?
Agata [3.3K]

Answer:

31.75 round it off to 32 pages per day

Step-by-step explanation:

254/8=31.75 but you cant but a decimal so its 32

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3 years ago
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Temka [501]
#3)answer is choice D.77+W<_95;W<_18
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If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \frac{15}{100}= 0.15m

we can solve for the spring constant k

we also know that the force F = mg

assuming g=9.81m/s^{2}

therefore

24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

5 0
3 years ago
HELP PLZ ...........WITH ALL OF THEM
Setler79 [48]

Answer:

1/2

Step-by-step explanation:

We first find the least common multiple, which is 6. Therefore, we can multiply 1/3 x 2/2 (since 2/2 is equal to one and won't change the final amount) and get 2/6. 2/6+1/6=3/6, or 1/2.

7 0
3 years ago
If the total sticker price on a new car is $42,055 and you have to pay 7% sales tax, how much will you have to pay for the vehic
tresset_1 [31]

Answer:

$44,998.85

Step-by-step explanation:

Price of the car = $42,055

Tax = 7%

Total cost = Price of the car + amount of tax

= 42,055 + 7% of 42,055

= 42,055 + 7/100 * 42,055

= 42,055 + 0.07 * 42,055

= 42,055 + 2,943.85

= 44,998.85

Total cost = $44,998.85

8 0
3 years ago
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