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Alla [95]
3 years ago
13

Find the third number if their average is 6 and two of them are 6 and 7​

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0

Answer:

5

Step-by-step explanation:

If their average is 6 and there are three numbers in total, the total sum of the three numbers would be:

6×3 = 18

You know that two of them is 6 and 7, so you can find the last number easily.

18-6-7 = 5  

8_murik_8 [283]3 years ago
4 0

Answer:

5

Step-by-step explanation:

6 +7+5 = 18 and 18/3 = 6

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Who became president after the 1876 presidential election?<br> Nfnf
REY [17]

Answer:

Rutherford B. Hayes

Step-by-step explanation:

It was controversial, however Hayes was declared the winner of the election.

7 0
3 years ago
Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850.
hodyreva [135]

Theo's base salary  using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

Let R be the rate of commission

commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25  .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

X+9875R=3641 .........................  equation (2)

subtract equation 2 from 1

2975R=194.25

R=194.25/2975

R=commission rate=6.52941176470588%

substitute for R in equation 1 to arrive at X(base salary)

X+(12850*6.52941176470588%)=3,835.25

X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

brainly.com/question/6597041

#SPJ1

7 0
2 years ago
Can you please solve 4+3x&gt;24 <br> and thank you :))
Leona [35]

Answer:

x>8

Step-by-step explanation:

4+3x>24

-4      -4

3x > 24

/3     /3

x > 8

3 0
2 years ago
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
32x - 4 = 4x2 + 60 For the equation shown, choose the description of the solutions.
Furkat [3]
All to one side:

4x^2-32x+64 = 0,

divide by 4:

x^2 -8x + 16 = 0

apply formula or see that it is (x-4)^2!, so only x =4 is a root and it is double.
3 0
3 years ago
Read 2 more answers
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