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dybincka [34]
3 years ago
13

A coffeepot contains 1 1/2 quqarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1/2 cups of coffee st

ill remain in the pot. How much coffee did Tonya pour into each cup?
Mathematics
1 answer:
saw5 [17]3 years ago
5 0
\bf 1\frac{1}{2}\implies \cfrac{1\cdot 2+1}{2}\implies \cfrac{3}{2}\quad \textit{now, how much is a quart of that?}
\\\\\\
\cfrac{3}{2}\cdot \cfrac{1}{4}\implies \stackrel{of~coffee}{\cfrac{3}{8}}\impliedby makes\quad \stackrel{poured}{2cups}+\stackrel{remaining}{3\frac{1}{2}cups}\implies 5\frac{1}{2}~cups

\bf \textit{now if }\frac{3}{8}\textit{ of coffee makes }5\frac{1}{2}\textit{ cups, how much in 1 cup?}
\\\\\\
\cfrac{\quad \frac{3}{8}\quad }{5\frac{1}{2}}\implies \cfrac{\quad \frac{3}{8}\quad }{\frac{5\cdot 2+1}{2}}\implies \cfrac{\quad \frac{3}{8}\quad }{\frac{11}{2}}\implies \cfrac{3}{8}\cdot \cfrac{2}{11}\implies \stackrel{\textit{of coffee makes one cup}}{\cfrac{3}{44}}
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inessss [21]
So if they lost 2 yards on the first play and on the following three plays they lost 2 yards they  lost 4 yards total because it doesnt say they lost 2 yards on each of the three play so they would only lose 4 yards 
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2 years ago
How Can I find ef? Do I multiply add or diving
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and surely you know how much that is.
6 0
3 years ago
The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{236100}{8} = 29512.5

Sum of squares of differences = 3408750

S.D = \sqrt{\frac{3408750}{7}} = 697.82

Population mean, μ = $30,000

Sample mean, \bar{x} = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars} We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975

Now,

t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0
3 years ago
Solve the following equations putting them in slope intercept form. Then
asambeis [7]

Answer:

1. slope  is -1 and y intercept is 2

3. slope is -2 and y intercept is -4

2. slope is -4 and y intercept is 2

4. this is not a line - it is a parabola

Step-by-step explanation:

1. -4y = 4x -8

y = -x + 2

3. 4y = -8x -16

y = -2x - 4

2. y = -4x + 2

4. y - 14 = -3x^2 -16x

y = 3x^2 - 16x + 4

7 0
2 years ago
Rewrite each linear equation in standard form. Then, state the values for A, B, and C.
cestrela7 [59]

Answer:

A = 9/100

B = -[1/100]

C = -[39/100]

Step-by-step explanation:

Given:

0.09x - 0.01y = 0.39

Find:

A,B,C

Computation:

Linear equation;

Ax + By + C = 0

So,

0.09x - 0.01y = 0.39

9x/100 - 1y/100 = 39/100

9x/100 - 1y/100 - 39/100= 0

So,

A = 9/100

B = -[1/100]

C = -[39/100]

5 0
2 years ago
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