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k0ka [10]
2 years ago
12

Finish the sequence 36,25,14​

Mathematics
1 answer:
ruslelena [56]2 years ago
3 0

Answer:

36, 25, 14, 3

Step-by-step explanation:

subtract 11

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The mean of six numbers is 10. When
vivado [14]

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

5 0
3 years ago
Read 2 more answers
PLEASE HELP A flight across the US takes longer east to west then it does west to east. This is due to the plane having a headwi
il63 [147K]
To solve our questions, we are going to use the kinematic equation for distance: d=vt
where
d is distance 
v is speed  
t is time 

1. Let v_{w} be the speed of the wind, t_{w} be time of the westward trip, and t_{e} the time of the eastward trip. We know from our problem that the distance between the cities is 2,400 miles, so d=2400. We also know that the speed of the plane is 450 mi/hr, so v=450. Now we can use our equation the relate the unknown quantities with the quantities that we know:

<span>Going westward:
The plane is flying against the wind, so we need to subtract the speed of the wind form the speed of the plane:
</span>d=vt
2400=(450-v_{w})t_{w}

Going eastward:
The plane is flying with the wind, so we need to add the speed of the wind to the speed of the plane:
d=vt
2400=(450+v_{w})t_{e}

We can conclude that you should complete the chart as follows:
Going westward -Distance: 2400 Rate:450-v_w Time:t_w
Going eastward -Distance: 2400 Rate:450+v_w Time:t_e

2. Notice that we already have to equations:
Going westward: 2400=(450-v_{w})t_{w} equation(1)
Going eastward: 2400=(450+v_{w})t_{e} equation (2)

Let t_{t} be the time of the round trip. We know from our problem that the round trip takes 11 hours, so t_{t}=11, but we also know that the time round trip is the time of the westward trip plus the time of the eastward trip, so t_{t}=t_w+t_e. Using this equation we can express t_w in terms of t_e:
t_{t}=t_w+t_e
11=t_w+t_e equation
t_w=11-t_e equation (3)
Now, we can replace equation (3) in equation (1) to create a system of equations with two unknowns: 
2400=(450-v_{w})t_{w}
2400=(450-v_{w})(11-t_e) 

We can conclude that the system of equations that represent the situation if the round trip takes 11 hours is:
2400=(450-v_{w})(11-t_e) equation (1)
2400=(450+v_{w})t_{e} equation (2)

3. Lets solve our system of equations to find the speed of the wind: 
2400=(450-v_{w})(11-t_e) equation (1)
2400=(450+v_{w})t_{e} equation (2)

Step 1. Solve for t_{e} in equation (2)
2400=(450+v_{w})t_{e}
t_{e}= \frac{2400}{450+v_{w}} equation (3)

Step 2. Replace equation (3) in equation (1) and solve for v_w:
2400=(450-v_{w})(11-t_e)
2400=(450-v_{w})(11-\frac{2400}{450+v_{w}} )
2400=(450-v_{w})( \frac{4950+11v_w-2400}{450+v_{w}} )
2400=(450-v_{w})( \frac{255011v_w}{450+v_{w}} )
2400= \frac{1147500+4950v_w-2550v_w-11(v_w)^2}{450+v_{w}}
2400(450+v_{w})=1147500+2400v_w-11(v_w)^2
1080000+2400v_w=1147500+2400v_w-11(v_w)^2
(11v_w)^2-67500=0
11(v_w)^2=67500
(v_w)^2= \frac{67500}{11}
v_w= \sqrt{\frac{67500}{11}}
v_w=78

We can conclude that the speed of the wind is 78 mi/hr.
6 0
2 years ago
Drag each capacity to match it to an equivalent capacity.
weqwewe [10]

Answer:

  • 2 cups         ⇔ 16 fluid ounces
  • 96 ounces   ⇔ 6 pints
  • 12 pints        ⇔ 24 cups
  • 4 quarts       ⇔ 1 gallon

<em>Also see attached</em>

3 0
2 years ago
Read 2 more answers
Jenny's mom is 36 years old. If Jenny's great-grandmother is 90 years old, what percent of Jenny's mother's age is Jenny's great
Serjik [45]

Answer:

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.  (Input: 40)

Step-by-step explanation:

The percentage needed is calculated by the following expression:

x = \frac{n_{M}}{n_{G}}\times 100\,\%

Where:

x - Percentage of Jenny's mother with respect to Jenny's great-grandmother, measured in percentage.

n_{M} - Age of Jenny's mother, measured in years.

n_{G} - Age of Jenny's great-grandmother, measured in years.

If we know that n_{M} = 36\,yr and n_{G} = 90\,yr, the percentage is:

x = \frac{36\,yr}{90\,yr} \times 100\,\%

x = 40\,\%

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.

3 0
3 years ago
Can anyone do this thanks
vovangra [49]
1) oct.
2) sept.
4) aug. &' sept
Not 100% though .
4 0
2 years ago
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