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DiKsa [7]
3 years ago
6

What is the substitution for 4x+6y=332 & x+y=10

Mathematics
1 answer:
Elodia [21]3 years ago
6 0
X+y=10, x=10-y
4(10-y)+6y=332
solve the next parts yourself 
Substitution is to use one variable to express another variable in order to eliminate one variable in the original equation
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When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a
irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

6 0
2 years ago
Find the angle 0 between the vectors. u=(1, 1, 1, 0), v = (4, 4, 4, 4).
Naya [18.7K]

Answer:

30 degrees

Step-by-step explanation:

u dot v=1*4+1*4+1*4+0*4=4+4+4+0=12

|u|=sqrt(1^2+1^2+1^2+0^2)=sqrt(3)

|v|=sqrt(4^2+4^2+4^2+4^2)=sqrt(4*4^2)=2*4=8

cos(theta)=u dot v/(|u||v|)

cos(theta)=12/(sqrt(3)*8)

cos(theta)=3/(sqrt(3)*2)

cos(theta)=sqrt(3)/2

theta=30 degrees

6 0
3 years ago
Amir stands on a balcony and throws a ball to his dog, who is at ground level.
Bumek [7]

Answer:

16 meters

Step-by-step explanation:

The height function is given by:

h(x)=-(x+1)(x-7)\\h(x)=-(x^2+x-7x-7)\\h(x)=-x^2+6x+7

The value of x, in seconds, for which the derivate of the height function is zero, is the time at which the maximum height occurs:

\frac{dh(x)}{dx}= h'(x)=-2x+6=0\\x=3

For x = 3 seconds, the height is:

h(3)=-(3^2)+6*3+7\\h(3)=16\ m

The maximum height that the ball will reach is 16 meters.

6 0
3 years ago
Read 2 more answers
PLease help I have no idea how to this
matrenka [14]

Answer:

y = 3x + 7

Step-by-step explanation:

Parallel lines have the same slope, so you can write the equation y = 3x + b and you have to figure out what b is.

plug in x = -3 and y = -2 into the equation y = 3x + b:

-2 = 3 * -3 + b

-2 = -9 + b

7 = b

So the equation is y = 3x + 7

4 0
2 years ago
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
ivanzaharov [21]

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

4c + 6a ≤ 120:

You can set up the inequality 4c + 6a ≤ 120, because it takes 4 hours to build per child bike (c) and 6 hours to build an adult bike (a), all together this time cannot surpass 120 hours. That is why you use the 'less than or equal to' sign.

4c + 4a ≤ 100:

You can then set up the inequality 4c + 4a ≤ 100, because it takes 4 hours to test a child bike (c) and 4 hours to test an adult bike (a). Since 100 hours is the max amount of time they can use to test out bikes, you will use the 'less than or equal to' sign.

4(5) + 6(15) = 20 + 90 = 110. 110 is less than 120

4(5) + 4(15) = 20 + 60 = 80. 80 is less than 100

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

4 0
2 years ago
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