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3 years ago

This graph shows how the distance daniel runs depends on the number of track practices he attends

Mathematics

1 answer:

STALIN [3.7K]3 years ago

4 0

You would have to post a pic of the graph and the question

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You have one type of nut that sells for $2.80/lb and another type of nut that sells for $9.60/lb. You would like to have 20.4 lb

max2010maxim [7]

Answer:11.396Ibs of nuts that cost $9.60/Ib and 9.014Ibs that cost $2.80/Ib

Step-by-step explanation:

First we find the cost of the supposed mixture we are to get by selling it $6.60/Ib which weighs 20.41Ibs

Which is 6.6 x 20.41 = $134.64

Now we label the amount of mixture we want to get with x and y

x = amount of nuts that cost $2.8/Ib

y = amount of nuts that cost $9.6/Ib

Now we know the amount of mixture needed is 20.41Ibs

So x + y = 20.41Ibs

And then since the price of the mixture to be gotten overall is $134.64

We develop an equation with x and y for that same amount

We know the first type of nut is $2.8/Ib

So for x amount we have 2.8x

For the second type of nut that is $9.6/Ib

For y amount we have 9.6y

So adding these to equate to $134.64

2.8x + 9.6y = 134.64

So we have two simultaneous equations

x + y = 20.41 (1)

2.8x + 9.6y = 57.148 (2)

We can solve either using elimination or factorization method

I'm using elimination method

Multiplying the first equation by 2.8 so that the coefficient of x for both equations will be the same

2.8x + 2.8y = 57.148

2.8x + 9.6y = 134.64

Subtracting both equations

-6.8y = -77.492

Dividing both sides by -6.8

y = -77.492/-6.8 =11.396

y = 11.396Ibs which is the amount of nuts that cost $9.6/Ib

Putting y = 11.396 in (1)

x + y = 20.41 (1)

x +11.396 = 20.41

Subtract 11.396 from both sides

x +11.396-11.396 = 20.41-11.396

x = 9.014Ibs which is the amount of nuts that cost $2.8/Ibs

8 0

3 years ago

HELP HELP HELP HELP HELP HELP HELP

I am Lyosha [343]

A) 3x (you substitute the g equation into the f one by putting it in the x value for f)

b) x (do the same thing, but switch the letters)

4 0

2 years ago

6m+17-13+5n combine like terms

lana [24]

Answer:

hmmmm bilmim weantremlo ?

3 0

2 years ago

Read 2 more answers

A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t

bearhunter [10]

Answer: A. (636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level : $\alpha: 1-0.95=0.05$

Critical value : $z_{0.05}=1.96$

Sample mean : $\overline{x}=645\text{ hours}$

Standard deviation : $\sigma= 31\text{ hours}$

The 95% confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)$

Hence, 95% confidence interval for population mean is (636.9, 653.1).

8 0

3 years ago

Please help me use full explanation please hurry

Keith_Richards [23]

Step-by-step explanation:

As we can see the question given

f(x) is varying accordingly to the interval

f(x) = 2 if 2<x≤4

The value of function is 2 for the interval 2 to 4

and interval is open at x=2 and closed at x = 4

f(x) = x + 3 if 4<x<8

The value of function is x + 3 and it is open at x = 4 and x = 8

f(x) = 2x if x $\geq$ 8

The value of function is 2x for x greater than or equal to 8

The image is attached for more clearing of doubt

3 0

3 years ago