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inn [45]
2 years ago
13

3. Which pair of quantities form a proportional relationship? ​

Mathematics
1 answer:
pychu [463]2 years ago
8 0
C
D

Reason: their ratio is 1


Mark brainliest please
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Brianna has x nickels and y pennies. She has no less than 20 coins worth no more
Bond [772]

Answer:

y \ge 20 - x

y \le 80 -5x

(x,y) = (15,5)

Step-by-step explanation:

Given

Nickels = x

Pennies = y

Amount = \$0.80 maximum

Coins = 20 minimum

Required

Solve graphically

First, we need to determine the inequalities of the system.

For number of coins, we have:

x\ +\ y\ge 20 because the number of coins is not less than 20

For the worth of coins, we have:

0.05x\ +\ 0.01y\ \le0.80 because the worth of coins is not more than 0.80

So, we have the following equations:

x\ +\ y\ge 20

0.05x\ +\ 0.01y\ \le0.80

Make y the subject in both cases:

y \ge 20 - x

0.01y \le 0.80 - 0.05x

Divide through by 0.01

\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}

y \le 80 -5x

The resulting inequalities are:

y \ge 20 - x

y \le 80 -5x

The two inequalities are plotted on the graph as shown in the attachment.

y \ge 20 - x --- Blue

y \ge 80 -5x --- Green

Point A on the attachment are possible solutions

At A:

(x,y) = (15,5)

4 0
2 years ago
(23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health
Paul [167]

Answer:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

\bar X=113.7 represent the sample mean

\mu population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=29-1=28

The Confidence is 0.96 or 96%, the significance is \alpha=0.04 and \alpha/2 =0.02, and the critical value would be t_{\alpha/2}=2.154

Replacing the info we got:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

5 0
3 years ago
To the nearest hundredth, what is the value of A(6)? (Use 3.14 for .)
ELEN [110]
I believe you multiply 1 by 6 because there is an invisible 1 infront of that a then you divide 3.14 to the 2 power And you might get your answer
5 0
2 years ago
Graph the function. g(x)=2(x +2)(x +6)g(x)=2(x+2)(x+6)
harkovskaia [24]

Answer:

Graph the parabola using its properties and the selected points. Direction: Opens Up Vertex: ( 4 , − 4 ) Focus: ( 4 , − 15 4 ) Axis of Symmetry: x = 4 Directrix: y = − 17 4 x y 2 0 3 − 3 4 − 4 5 − 3 6 0 image of graph

Hoped I helped

8 0
3 years ago
(Im sure this is a easy answer but im just double checking)
IgorC [24]
This answer seems to be C
5 0
3 years ago
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