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frez [133]
3 years ago
7

What is 3a+2c=26 solve for a and c

Mathematics
2 answers:
Nookie1986 [14]3 years ago
5 0

Answer:

Hi there!

Your answers are:

A= -2/3c + 8 & 2/3

C= -3/2a + 13

Step-by-step explanation:

Solving for A:

3a+2c = 26

-2c

3a= -2c+26

/3

a= -2/3c + 8 & 2/3

Solving for C:

3a+2c= 26

-3a

2c = -3a+26

/2

c= -3/2a + 13

Hope this helps

blondinia [14]3 years ago
3 0

Simplifying

3a + 2b + c = 26

Solving

3a + 2b + c = 26

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2b' to each side of the equation.

3a + 2b + -2b + c = 26 + -2b

Combine like terms: 2b + -2b = 0

3a + 0 + c = 26 + -2b

3a + c = 26 + -2b

Add '-1c' to each side of the equation.

3a + c + -1c = 26 + -2b + -1c

Combine like terms: c + -1c = 0

3a + 0 = 26 + -2b + -1c

3a = 26 + -2b + -1c

Divide each side by '3'.

a = 8.666666667 + -0.6666666667b + -0.3333333333c

Simplifying

a = 8.666666667 + -0.6666666667b + -0.3333333333c

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For what value of x is sin(x) = cos(32°), where 0°< x < 90°?
sergiy2304 [10]

Answer:

B

Step-by-step explanation:

Use the cofunction identies that states that

\sin(90 - x)  =  \cos(x)

\sin((90 - x))  =  \cos(32)

\sin(90 - 32)  =  \cos(32)

\sin(58)  =  \cos(32)

B is the answer.

3 0
2 years ago
Chloe the clownfish is 4 inches long. There is a sea snake in the area that is 8 times as long as Chloe. How long is the sea sna
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5 0
3 years ago
Anyone know this plz can you help thanks xx
UkoKoshka [18]

Answer:

c.

Step-by-step explanation:

it would be 1/2 the rest equal 2/5

7 0
3 years ago
A model car has a scale of 1:25. The length of the model when built is 9.6 in. What is the length of the actual car?
madreJ [45]
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Hope this helped you! :D
6 0
4 years ago
A tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obta
Andru [333]

Answer:

Step-by-step explanation:

According to the given question, a tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 37,000 miles and a standard deviation of 3,887 miles.

Let us define X be the random variable shows that the mileages tires normally distributed with

mean

μ = 37000

standard deviation

σ =3, 887

Therefore

X ~ (μ = 37000, σ =3,887)

The company wishes to offer a guarantee providing a discount on a new set of tires if the original tires purchased do not exceed the mileage stated in the guarantee. Therefore the  guaranteed mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage is determined as:

P(X < k) = 0.02

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From the standard normal curve 2% area is determined as -2.0537 and hence

\frac{k-37,000}{3,887}=-2.0537\\\\k=37000-7982.7319\\\\k=29017.2681\\\\\Rightarrow k=29018

If we consider z value at two decimal places then

\frac{k-37,000}{3,887} =-2.05\\\\\Rightarrow k=29032&#10;

Therefore the  guaranteed 29032 mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage.

The area under the standard normal curve is determined as:

6 0
4 years ago
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