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aleksandr82 [10.1K]
3 years ago
5

15=-3(2c+d) solve for c

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

c = \frac{-5-d}{2}

Step-by-step explanation:

Given

15 = - 3(2c + d) ( divide both sides by - 3 )

- 5 = 2c + d ( subtract d from both sides )

- 5 - d = 2c ( isolate c by dividing both sides by 2 )

\frac{-5-d}{2} = c

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Maria is using 208 ounces of water to make some soup. Her recipe calls for 2 fluid ounces of olive oil for every 13 cups of wate
Otrada [13]

Answer:

4 ounces

Step-by-step explanation:

-We first convert the cup capacity into ounces.

13 \ cups=8 \ oz\times 13\\\\=104 \ oz

#We now know that for every 2 cups of olive oil, she uses 104 ounces of water.

-Let x be the amount of olive oil used. We then equate and cross multiply to solve for x:

104\ oz= 2 \ \\208=x\\\\\therefore x=\frac{2\times 208}{104}\\\\=4\ oz

Hence, 4 ounces of oil will be used for the soup.

6 0
3 years ago
A one­sided test of a hypothesis, based on a sample of size 9, yields a P­value of .035. Which of the following best describes t
lana [24]

Answer:

1.86 < t < 2.31

Step-by-step explanation:

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean height actually is higher\lower than an specified value, the system of hypothesis would be:  

Null hypothesis:\mu \leq \mu_o  

Alternative hypothesis:\mu > \mu_o

Or like this:

Null hypothesis:\mu \geq \mu_o  

Alternative hypothesis:\mu < \mu_o

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We don't know on this case the calculated value and with the p value we can find it.

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=9-1=8  

Since is a one side test the p value would be:  

p_v =P(t_{(8)}>t_o)=0.035

And we can find the critical value with the following excel code:

" =T.INV(1-0.035,8)" and we got t_p =2.09

And cannot be a lower tail test since all the options have positive values for the statistic. So on this case the best option is:

1.86 < t < 2.31

8 0
4 years ago
Select the two statements that are true about the equation y−56=4(x+5)y-56=4(x+5).
Sergio [31]

The correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Step-by-step explanation:

Given equation is:

y-56=4(x+5)

The slope-intercept form is:

y-y_1=m(x-x_1)

Comparing both equations we get

m = 4

y-56=y-y_1\\y_1 = 56\\x+5 = x-x_1\\x_1=-5

The point is (-5,56)

So, the correct answers are:

The slope of the line is 4.

A point on the line is (−5, 56)

Keywords: Point-slope form, Slope

Learn more about point-slope form at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

6 0
4 years ago
If 8lbs of ham serves 24 people, how many lbs will Samuel need to serve 18 people?
Vanyuwa [196]
24 divided by 8 is 3, for each ham 3 people get a 1lbs. 18 divided by 3 is 6. For 18 people, Samuel needs 6lbs of ham.
4 0
3 years ago
Can someone help me with this?!?
Oksi-84 [34.3K]
The answer is D, 9.
**
If c is 9, the points are (9,3) and (27,9).
See how dividing the first number by three gives the second number?
In other words, x is directly proportional to y.
This means the line goes through the origin.
y=x/3
0=0/3
8 0
4 years ago
Read 2 more answers
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