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schepotkina [342]
3 years ago
5

Show work plz

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0
So first we need to get rid of that naughty sales tax so we need to divide 30.45 by 1.05 since 30.45 is 105% of the pre-tax price. We get the answer of 29 and subtract 12 from 29 since the long fleece socks cost 12 bucks and we get 17 dollars. Since there are 2 pairs of regular songs we divide 17 by 2 and get 8.5

So the regular socks cost $8.50

Checking work 8.5*2=17
12+17=29
1.05*29=30.45

If u need more help feel free to ask me
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Estimate the quotient
juin [17]

#5

57.8 can be rounded to 60 because 57.8 is closer to 60 than 50 and 81 is relatively close to 80. if we had to estimate the quotient, we would have

60 ÷ 80 = 0.75

#8

2.8 can be rounded to 3 because 2.8 is closer to 3 than it is to 2 and 6 can be left alone because it will make our division easier.

3 ÷ 6 = 0.5

#11

737.5 can be rounded to 700 and 9 can be rounded to 10.

700 ÷ 10 = 100

4 0
4 years ago
What is the equation of the line that passes through the point (-2,3) and that is perpendicular to the line represented by 3x-2y
motikmotik

Answer:

3y + 2x = 5

Step-by-step explanation:

3x-2y = -2

2y = 3x + 2

y = (3/2)x + 1

Slope is 3/2

Slope of the Perpendicular line is -2/3

y = (-2/3)x + c

x = -2 , y = 3

3 = (-2/3)(-2) + c

3 = 4/3 + c

c = 3 - 4/3 = 5/3

y = (-2/3)x + 5/3

3y = -2x + 5

3y + 2x = 5

5 0
3 years ago
Question Help Of 515515 samples of seafood purchased from various kinds of food stores in different regions of a country and gen
Setler79 [48]

Answer:

(0.5848 ; 0.6552)

We are confident that about 58% to 66% of sea foods in the country are Mislabelled.

No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.

Step-by-step explanation:

Sample size, n = 51

p = 0.62

1 - p = 1 - 0.62 = 0.38

n = 515

Confidence level = 90% = Zcritical at 90% = 1.645

Confidence interval = (p ± margin of error)

Margin of Error = Zcritical * sqrt[(p(1-p))/n]

Margin of Error = 1.645 * sqrt[(0.62(0.38))/515]

Margin of Error = 1.645 * 0.0214

Margin of Error = 0.035203

Lower boundary = (0.62 - 0.035203) = 0.584797

Upper boundary = (0.62 + 0.035203) = 0.655203

(0.5848 ; 0.6552)

We are confident that about 58% to 66% of sea foods in the country are Mislabelled.

No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.

3 0
3 years ago
This month you make $3,881 from liquor salesfrom food, and from your gift shop. your monthly sales goal is $25,000, did you meet
katrin2010 [14]

Answer:

No

Step-by-step explanation:

If you add all the sales you do not meet your goal of $25,000

3 0
3 years ago
X^2=4x-15 solve with Quadratic formula
bulgar [2K]

Answer:

x=2+i\sqrt{11}

x=2-i\sqrt{11}

Step-by-step explanation:

we have

x^{2} =4x-15 -------> x^{2}-4x+15=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-4x+15=0

so

a=1\\b=-4\\c=15

substitute in the formula

x=\frac{-(-4)(+/-)\sqrt{-4^{2}-4(1)(15)}} {2(1)}

x=\frac{4(+/-)\sqrt{16-60}} {2}

Remember that

i=\sqrt{-1}

x=\frac{4(+/-)\sqrt{-44}} {2}

x=\frac{4(+/-)2i\sqrt{11}} {2}

x=\frac{4(+)2i\sqrt{11}}{2}=2+i\sqrt{11}

x=\frac{4(-)2i\sqrt{11}}{2}=2-i\sqrt{11}

7 0
3 years ago
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