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Verdich [7]
4 years ago
7

3a+b=225, b-a=25 solve.

Mathematics
2 answers:
Arisa [49]4 years ago
7 0

Answer : The value of 'a' and 'b' is, 50 and 75 respectively.

Step-by-step explanation :

As we are given two equations.

3a+b=225      ...........(1)

b-a=25     ............(2)

or,

b=25+a           ...........(3)

Now put equation 3 in equation 1, we get the value of 'a'.

3a+b=225

3a+25+a=225

4a+25=225

4a=225-25

4a=200

a=\frac{200}{4}

a=50

Now put the value of 'a' in equation 3, we get the value of 'b'.

b=25+a

b=25+50

b=75

Thus, the value of 'a' and 'b' is, 50 and 75 respectively.

adelina 88 [10]4 years ago
5 0
If you are solving by substituting A=50 and B=75
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assume the situation can be exposed as a linear cost, find the cost function, fixed cost is $100, 40 items cost 1,200 to produce
alexira [117]
C(x) = 1200(40) + 100
or
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where m = 1200, x = 40, y = 100

hope it helped,
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7 0
3 years ago
The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?
oksano4ka [1.4K]
Answer:
(6,-1)

Explanation:
The slope of the line can be calculated using the following formula:
slope = \frac{y2-y1}{x2-x1}

We are given that:
slope = -0.75
point (x1,y1) is (-2,5)

We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.

For point (6,-1):
slope = \frac{-1-5}{6--2} = -0.75 ........> accepted choice

For point (2,8):
slope = \frac{8-5}{2--2} = 0.75 ........> rejected choice

For point (-5,1):
slope = \frac{1-5}{-5--2} = 4/3 ........> rejected choice

For point (1,1):
slope = \frac{1-5}{1--2} = -4/3 ........> rejected choice

Therefore, the first option is the only correct one.

Hope this helps :)
5 0
3 years ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
Add (–3.5x + 1.7) + (9.1x - 0.3)=
topjm [15]
-3.5x + 9.1x + 1.7 - 0.3 = 5.6x + 1.4
5 0
3 years ago
Read 2 more answers
I need helpppppp i have no idea what im looking at lol
Fed [463]

The correct answer is option B which is  Cot\theta=\dfrac{24}{7}.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

Sec\theta=\dfrac{25}{24}

The value of cot theta will be calculated as:-

We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.

H² = P²  +  B²
P² = H²  -  B²

P²  =  25²  -  24 ²  = 49

P  = √49 =  7

Now the value of cot theta will be calculated as:-

Cot\theta =\dfrac{B}{P}=\dfrac{24}{7}

Therefore the correct answer is option B which is  Cot\theta=\dfrac{24}{7}.

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ1

5 0
2 years ago
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