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erma4kov [3.2K]
3 years ago
14

in cooking, 1 drop is equal to 1/6 of a dash. if a recipe calls for 2/3 of a dash, write an expression that would give the numbe

r of drops that are needed
Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Remark

You need only set up a proportion

Use the given first. Then let x = the number of drops.

1 drop / (1/6 dash) = x / (2/3 dash)

Rather than try and figure out what the fractions are going to do, why not change everything to decimals?

1/0.16666667 = x /0.6666667          multiply both sides by 0.6666667

1 * 0.6666667 / 0.16666667 = x

x = 4. That's the answer you would get if you kept the fractions. But decimals are much easier to handle in cases like this than are fractions.

If you want this in terms of genenerally how many drops would there be then

y = (1/6)*x <<< Answer

Where y is the number of dashes and x is the number of drops. 

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Help me with this please
alina1380 [7]
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40 
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y 
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x. 
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair. 
6 0
3 years ago
Create an equivalent expression for 9(5x - 4) by using the distributive property.
Bogdan [553]

Answer:

3(15x-12)

Step-by-step explanation:

4 0
3 years ago
50 points if you answer.
mart [117]

Answer:

I think it b

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Two statistics teachers both believe that each has the smarter class. To put this to the test, they give the same final exam to
SVETLANKA909090 [29]

Answer:

We conclude that there is no difference between the two classes.

Step-by-step explanation:

We are given that two statistics teachers both believe that each has a smarter class.

A summary of the class sizes, class means, and standard deviations is given below:n1 = 47, x-bar1 = 84.4, s1 = 18n2 = 50, x-bar2 = 82.9, s2 = 17

Let \mu_1 = mean age of student cars.

 \mu_2 = mean age of faculty cars.

So, Null Hypothesis, H_0 : \mu_1=\mu_2      {means that there is no difference in the two classes}  

Alternate Hypothesis, H_A : \mu_1\neq \mu_2      {means that there is a difference in the two classes}

The test statistics that will be used here is <u>Two-sample t-test statistics</u> because we don't know about the population standard deviations;

                         T.S.  =  \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }   ~  t_n_1_+_n_2_-_2

where, \bar X_1 = sample mean age of student cars = 8 years

\bar X_2  = sample mean age of faculty cars = 5.3 years  

s_1 = sample standard deviation of student cars = 3.6 years  

s_2 = sample standard deviation of student cars = 3.7 years  

n_1 = sample of student cars = 110  

n_2 = sample of faculty cars = 75  

Also, s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }  = \sqrt{\frac{(47-1)\times 18^{2}+(50-1)\times 17^{2} }{47+50-2} }  = 17.491

So, <u><em>the test statistics</em></u> =  \frac{(84.4-82.9)-(0)}{17.491 \times \sqrt{\frac{1}{47}+\frac{1}{50} } }  ~  t_9_5

                                     =  0.422    

The value of t-test statistics is 0.422.

<u>Now, the P-value of the test statistics is given by;</u>

P-value = P(t_9_5 > 0.422) = From the t table it is clear that the P-value will lie somewhere between 40% and 30%.

Since the P-value of our test statistics is way more than the level of significance of 0.04, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as our test statistics will not fall in the rejection region.

Therefore, we conclude that there is no difference between the two classes.

6 0
3 years ago
((I RAISED THE POINTS AND THIS IS MULTIPLE CHOICE))
NeTakaya

Answer:

B and D

Step-by-step explanation:

Geometric sequences and series. A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

an = ar^(n-1)

d) 1/3, 2/3, 4/3, 8/3, 16/3, . . . .

1/3 * 2 = 2/3

2/3 * 2 = 4/3

4/3 * 2 = 8/3

where r = 2, constant multiplier is 2.  //Answer

b)  320, 80, 20, 5, 1.25, . . . . .

320 * 1/4 = 80

80 * 1/4 = 20

20 * 1/4 = 5

r = 1/4 //Answer

Answer: B and D

//Hope this helps.

4 0
3 years ago
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