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3 years ago

Algebra 1 -5c+d=2c find for c

Mathematics

2 answers:

beks73 [17]3 years ago

8 0

Answer:

d/7 = c

Step-by-step explanation:

-5c+d=2c

Add 5c to each side

-5c+5c+d=2c+5c

d = 7c

Divide each side by 7

d/7 = 7c/7

d/7 = c

nekit [7.7K]3 years ago

6 0

Answer:

d/7 = c

Step-by-step explanation:

STEP

Simplify —

Equation at the end of step

c d

(((—•c)-d)-(2•—))+d

2 c

STEP

Simplify —

Equation at the end of step

c 2d

(((— • c) - d) - ——) + d

2 c.

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Which formula shows a joint variation?

djyliett [7]

The answer is the first option: I, II and III.

The explanation is shown below:

1. By definition, there is a joint variation when a variable depends on two or more different variables. Therefore, you can express it as following:

$y=kxz$

Where $x,y$ and $z$ are the variables and $k$ is the constant of proportionality.

As you can see, $y$ is directly proportional to $x$ and $z$ .

2. Keeping the information above, you have:

I) $V=lwh$ ( $V$ varies jointly with $l$ , $w$ and $h$ .

II) $V=\frac{1}{3}r^{2}h\pi$ (If $\frac{\pi}{3}$ is the constant of proportionality, $V$ varies jointly with $r^{2}$ and $h$ ).

III) $V=Bh$ ( $V$ varies jointly with $B$ and $h$ .

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3 years ago

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7-3(10 divided by 2) divided by 1

Misha Larkins [42]

Answer:

-8

Step-by-step explanation:

Remember pemdas

7 - 3*(10:2):1 =

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-8

4 0

1 year ago

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Benny wants to make cookies.To make cookies, he needs 7/3 cups of flour per batch of cookies.If Benny has 7 cups of flour, then

Amanda [17]

Answer:

With 7 cups of flour 3.13 batches of cookies can be made.

Step-by-step explanation:

The amount of flour needed per batch of cookies = 7/3 cups

= 2.33 cup

⇒ 1 batch of cookies = 2.33 cup of flour

or the ratio of cookie to flour = 1 : 2.33

Now, the amount of flour Benny has = 7 cups

Let the total batches of cookie made = m

or, ratio of cookie to flour = m : 7

So, by the RATIO OF PROPORTIONALITY:

$\frac{1}{2.23} = \frac{m}{7 }$

⇒ m = 7 /2.23

or, m = 3.13

or, total batches of cookie made = 3.13

Hence, from 7 cups of flour 3.13 batches of cookies can be made.

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3 years ago

PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher

lana66690 [7]

Answer:

a) $n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Part a

The estimated proportion for this case is $\hat p =0.76$

Our interval is at 90% of confidence, and the significance level is given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . The critical values for this case are:

$z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The margin of error desired is given $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Replacing we got:

$n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

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