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Studentka2010 [4]
3 years ago
13

Two pencils and a ruler cost 98 cents in total. One pencil and 2 rulers cost $1.24 in total. Find the cost of each item.

Mathematics
2 answers:
yuradex [85]3 years ago
6 0
Answer: 2.16
6(2p)+15p=2.16
12p+15p=2.16
27p=2.16
salantis [7]3 years ago
5 0

Answer:

2.16

Step-by-step explanation:

r = cost of ruler

p = cost of pencil

 

r = 2p

6r + 15p = 2.16

 

Substitute 2p in place of r in 2nd equation and solve for p

 

6(2p) + 15p = 2.16

12p + 15p = 2.16

27p = 2.16

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PLEASE HELP!!
olga_2 [115]

The value of a = 2.17 and b = 1.95.

<h3>What is regression line?</h3>

A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables;

y=2.01*1.93^{x}

Correlation:

r=0.964

R-squared:

r²=0.9292

Hence, value of a and b is 2.17 and 1.95.

learn more about regression line here:

brainly.com/question/11340674

#SPJ1

8 0
2 years ago
What is the value of 3/10 to the power of three
Zielflug [23.3K]
0.003? 3/(10^3). Wdym
3 0
3 years ago
Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoo
NikAS [45]

Answer:

[tex]4608\sqrt{3}[/tex]

Step-by-step explanation:

1. \sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}

2. \sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}   <em>factoring 96</em>

<em>since \sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}</em>

3. \sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}

<em>using exponent rule - (a^{b}) ^{c} = a^{bc}</em>

<em> \sqrt{2^{5} } = 2^{5/2}</em>

4. 2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}

<em>doing some simple simplification and 4=2^{2}  and 6=2*3</em>

5. 2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}

<em>collecting the roots on one side and applying exponent rule</em>

6. \sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}

<em>Applying exponents rule on all \sqrt{3} and \sqrt{2}</em>

<em>7. 2^{1/2+1/2+1/2} *2^{5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}</em>

<em>combining all powers of 2</em>

8. 2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}

<em>Simplifying</em>

9. 2^{9} *3^{2}\sqrt{3}

10. 512*9\sqrt{3}

11. 4608\sqrt{3}

3 0
3 years ago
Read 2 more answers
PLEASE HELPPPPP PLEASE ILL GIVE YOU BRAINLIST
schepotkina [342]

Answer:

12

Step-by-step explanation:

The number of combinations for  2 shirts 3 pants and 2 shoes can be counted from the tree.

Count the different items at the end of the tree

There are 12 different combinations

5 0
3 years ago
The 10 participants in an experiment had the following reaction times (in milliseconds). 242, 485, 485, 489, 497, 498, 500, 507,
Karolina [17]

Answer:

The outliers are 242 and 875

Step-by-step explanation:

Their numbers are far more away than the other numbers if you had it on a number line. Most of the numbers range from 480-510 (estimation of the range, sorry hehe), so the numbers that seem very far (almost excluded, I guess) would be the ones that are considered the outliers.

242 and 875 are over 100 spaces away from the other numbers, meanwhile 485,485,489,497,498,500,507,509 have shorter spaces in between.

I hope this helped! (Sorry, if it sounds confusing)

5 0
2 years ago
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