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slamgirl [31]
2 years ago
10

marty has 80 to spend at a sporting goods store. he will spend 56 on a shirt, and then buy some darts. each box of darts cost 6.

he wants to buy as many boxes as possible.
Mathematics
1 answer:
Mariana [72]2 years ago
8 0

Next time, Shay, please include the instructions. I'm assuming that our job here is to determine the largest # of boxes of darts that can be purchased.


Shirt cost + x(box of darts cost) = Initial amount

$56 + x($6/box) = $80


Then 56 + 6x = 80, or 6x= 24, or x = 4. He can buy 4 boxes of darts.


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A direct variation function contains the points (2,14) and (4,38) which equation represents the function
Dmitry [639]
You are given two points on a line, and told that the function is "direct variation."  You can save a lot of time by recognizing that the y-intercept here is zero (0).  Thus, the line passes through the origin.

A line through (2,14) and (4,38) is NOT direct variation, because the line connecting those two points does NOT pass through the origin, and thus has a vertical intercept.
3 0
2 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Arada [10]
If y=3x^2+30x+71, then 
y=3(x^2+10x)+71=3(x^2+2\cdot5x+25-25)+71
y=3((x+5)^2-25)+71=3(x+5)^2-75+71=3(x+5)^2-4. So, in the first gap you can write 5 and in the second you can write -4.
Since (x+5)^2\ge 0, the minimum value of y is when (x+5)^2=0. The solution of the last equation is x=-5 and then y=-4 -- these are numbers, which you can write in the third and fourth gaps.

5 0
2 years ago
Read 2 more answers
Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π s
devlian [24]

Answer:

8 inches

Step-by-step explanation:

The surface area of a cone (without the base) is given by:

Surface area = pi*r*s

Where r is the base radius and s is the slant height.

The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:

41.6pi = pi*r*s

41.6 = 6.4s

s = 6.5 in

If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:

r'/s' = r/s = 6.4/6.5

s' = r'*6.5/6.4

So for the larger cone, we have:

65pi = pi*r'*s'

65 = r'*r'*6.5/6.4

r'^2 = 64

r' = 8 inches

5 0
2 years ago
Read 2 more answers
Your sister helped you get a dream job at a designer clothing store and one of the perks of the job is that you get 15% off all
Arturiano [62]

Answer:

$197.30 revenue.

Step-by-step explanation:

As long as we realise that 15% = $237.50 total revenue - 15% of that revenue $40.20 and the other 15% was totaled prior and kept to one side as seen as expenditure.

revenue = r  clothing purchase = p

r = (25 x 10 -12.50) - (p15% of e235)

r = (250 - 12.50) -( e235- p23.5 +11.73)

r = (237.50) - (expenditure 235- p35.73)

r = 237.50 -(expenditure 199.27)

r= 237.50

e = 199.27

p = 35.73

Answer with out including expenditure your sister revenue was $237.50

The 15% deduction cannot be confused with the deduction from clothes.

If we were to calculate 15% of $237.50 this would be 23.7+ 16.85 =$40.2

A different  Salary related 15% contribution payments = $40.20

If these were taken from $237.50

Then $237.50- $40.20 = $197.30 revenue, but we do not have to show expenditure in the total only the workings, which is still owed being $199.27- $40.20 already paid towards.

Extension = This means because $40.20 was deducted then expenditure still to be deducted outside of the question would be   e. $199.27 - $40.20 = 159.07 still owed. Saying that the 15% was to pay your sisters contribution to the clothes and not to the state.

5 0
2 years ago
The subjects of a study by Dugoff et al. (A-5) were 10 obstetrics and gynecology interns at the University of Colorado Health Sc
astra-53 [7]

Answer:

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

Step-by-step explanation:

Intern            No. of Breast

Number        Exams Performed               X²

1                         30                                  900

2                        40                                 1600

3                        8                                        64

4                        20                                   400

5                          26                                 676

6                           35                               1225

7                            35                               1225

8                            20                                400

9                             25                              625

<u>10                                 20                        400 </u>

<u>                                   </u><u> ∑ 259                  ∑ 7515</u>

Mean= X`= ∑x/n= 259/10= 25.9

Variance = s²= 1/n-1[∑X²- (∑x)²/n]

= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]

= 806.9/9=89.655= 89.66

Standard Deviation= √89.655= 9.4687

Hence

The value of t with significance level alpha= 0.05 and 9 degrees of freedom  is t(0.025,9)= 2.262

The 95 % Confidence interval is given by

x`±t(∝,n-1) s/√n

So Putting the values

25.9± 2.262( 9.4687/√10)

= 25.9 ±2.262 (2.9943)

= 25.9 ± 6.7730

= 25.9 +6.7730=32.6730

25.9 -6.7730= 19.1269

= 19.1269, 32.6730

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

6 0
2 years ago
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