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kolezko [41]
2 years ago
8

What is 3(x + 4) = x + 2(x+6) Please explain

Mathematics
1 answer:
sladkih [1.3K]2 years ago
5 0

3(x + 4)

Distributive property

= 3(x) +  3(4)

= 2x + 12

x + 2(x+6)

Distributive property

= x + 2(x) + 2(6)

= x + 2x + 12

Combine like terms

= 3x + 12

So

3(x + 4)  = x + 2(x+6) = 3x + 12

Answer: 3x + 12

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Two bicyclists are 7/8 of the way through a mile long tunnel when a train approaches the closer end at 40 mph. The riders take o
Anastaziya [24]

Answer:

the cyclists rode at 35 mph

Step-by-step explanation:

Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then

distance= speed*time

since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :

time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train

thus denoting v as the speed of the cyclists :

7/8*L / v = L / 40 mph

v = 7/8 * 40 mph = 35 mph

v= 35 mph

thus the cyclists rode at 35 mph

6 0
3 years ago
Marie is designing a bedspread for her grandsons new bedroom. 2/3 of the bedspread is covered in race cars, and the rest is stri
liraira [26]

Answer:

1/6

Step-by-step explanation:

2/3 of the bedspread is covered in race cars , therefore

1/3 of the bedspread is covered in stripes

2/4 of those 1/3 are red stripes

to find the fraction of the red stripes

2/4 x 1/3 = 2 / 12 = 1/6

4 0
2 years ago
Review the table.
Lynna [10]

Answer:

The function that models the scenario is given as follows;

P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}

Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100

Imputing the given functions from the options into Microsoft Excel, and

A = P(t) = \dfrac{250}{1 + 24 \cdot e^{-0.5 \cdot t}}

B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}

C = P(t) = \dfrac{750}{1 + 74 \cdot e^{-0.5 \cdot t}}

D = P(t) = \dfrac{1000}{1 + 99 \cdot e^{-0.5 \cdot t}}

solving using the given values of the variable, t, we have;

P                t               A                 B       {}             C                      D

10        {}      0        {}     10        {}         10        {}          10        {}             10

16        {}      1        {}      16.07021       16.27604      16.34583        {} 16.38095

26        {}     2        {}     25.43466      26.2797       26.574             26.72363

42        {}     3        {}     39.33834      41.89929      42.82868         43.30901

66        {}     4        {}     58.85058      65.51853      68.09014         69.45316

100        {}   5        {}     84.17395        99.55866    106.0177          109.5721

Therefore, by comparison, the function represented by B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}} most accurately models the scenario.

7 0
3 years ago
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Please help me answer these questions!
FromTheMoon [43]
I'm pretty sure the answer is 259
5 0
3 years ago
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A certain juggler usually tosses balls vertically to a height 3.8 yd. To what height must they be tossed if they are to spend tw
Maksim231197 [3]

Answer:

15.2 yards

Step-by-step explanation:

3 0
3 years ago
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