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Alecsey [184]
3 years ago
14

Leonardo makes the following purchases at the store: 1 backpack for $16.89 5 spiral notebooks for $1.19 each 1 pack of mechanica

l pencils for $3.68 2 packs of lead refills for $1.88 each Leonardo has 2 coupons, each for 45 cents off on the purchase of a pack of lead refills. The coupons are applied after tax and the sales tax is 5% of the purchase. If Leonardo paid $30.89 , then he _____ for his purchase. a. did not pay enough b. paid the correct amount c. paid $0.04 too much d. paid $0.57 too much
Mathematics
2 answers:
Alex787 [66]3 years ago
6 0
I believe the correct answer is he paid the right amount

vovikov84 [41]3 years ago
3 0

Answer:

Option B is correct choice.

Step-by-step explanation:

1 backpack for $16.89

5 spiral notebooks for $1.19 each so total cost = 5*1.19=5.95

1 pack of mechanical pencils for $3.68

2 packs of lead refills for $1.88 each so total becomes =2*1.88=3.76

Total becomes : 16.89+5.95+3.68+3.76=$30.28

Sales tax on the purchase = 5 % the value is 0.05*30.28=1.514

Now total cost becomes = 30.28+1.514 = $31.794

Leonardo has 2 coupons, each for 45 cents off on the purchase of a pack of lead refills. That means he got 90 cents off on both packs. So, new total Leo has to pay is : 31.794-0.90 = $30.894

Hence, Leo paid $30.89 in total. So, he paid the correct amount.

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Sam is at the top of a tower and will ride down a zip line to a lower tower. The total vertical drop of the zip line is 40 ft. T
jek_recluse [69]

Answer:

149.30ft

Step-by-step explanation:

Since the vertical distance between the two tower = 40ft

The angle of elevation from the lower tower to te higher tower = 15°

The horizontal distance between the two towers = x

Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.

Check attached document for better illustration of the triangle.

Tanθ = opposite / adjacent

Opposite = 40

θ = 15°

Adjacent = x

Tan15 = 40 / x

0.2679 = 40 / x

X = 40 / 0.2679

X = 149.30ft

The horizontal distance between the two towers is 149.30ft

7 0
3 years ago
If 23 out of every 100 people like ribs what percentage is that
harina [27]
23% is the answer my dude
7 0
3 years ago
Miss Martinez purchase two kinds of candy for a math game. Diplo pops cost $.50 each and the sneakers cost $.60 each. She purcha
torisob [31]

Answer:

The number of  Diplo pops  D = 18

The number of sneakers   S = 12

Step-by-step expla nation:

Given:

Cost of one Diplo pops = $.50

Cost of one sneakers  = $.60

Total number of candies purchased = 30 pieces

cost of the number of candies purchased = $16.80

To Find:

Number of each type of candies = ?

Solution:

Let

The number of  Diplo pops be D

The number of sneakers be  S

Total number of candies = 30

S+D = 30

S= 30 - D--------------------------------------(1)

and cost of 30 candies is $16.80

S(0.50) + D(0.60) = 16.80----------------(2)

Substituting (1) in (2)

(30 - D)(0.50) + D(0.60) = 16.80

15 - 0.50D +0.60D = 16.80

15 + 0.10D =  16.80

0.10D = 16.80 - 15

0.10D = 1.80

D = \frac{1.80}{0.10}

D = 18

So the number of  Diplo pops = 18

Number of sneakers S= 30 - 18 = 12

7 0
3 years ago
Your Bank account balance was $235 and 24. After two checks were cashed (each for the same amount) your balance is now -45.58. W
geniusboy [140]

235.24 + 45.58 = 280.82

280.82/2 = 140.41

each check was 140.41

3 0
3 years ago
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginnin
vazorg [7]

Answer:

z=\frac{0.0955-0.0611}{\sqrt{0.08(1-0.08)(\frac{1}{440}+\frac{1}{360})}}=1.784    

p_v =2*P(Z>1.784) =0.074  

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the two proportions differes at 10% of significance.

Step-by-step explanation:

Data given and notation  

X_{1}=42 represent the number of infested vines for Pernod5

X_{2}=22 represent the number of infested vines for Action

n_{1}=440 sample of Pernod5

n_{2}=360 sample of Action

\hat p_{1}=\frac{42}{440}=0.0955 represent the proportion of residents of  infested vines for Pernod5

\hat p_{2}=\frac{22}{360}=0.0611 represent the proportion of infested vines for Action

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

\alpha=0.1 significance level given

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if is there is a difference between thw two population proportions, the system of hypothesis would be:  

Null hypothesis:p_{1} - p_{2}=0  

Alternative hypothesis:p_{1} - p_{2} \neq 0  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{1}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{42+22}{440+360}=0.08  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.0955-0.0611}{\sqrt{0.08(1-0.08)(\frac{1}{440}+\frac{1}{360})}}=1.784    

Statistical decision

Since is a two sided test the p value would be:  

p_v =2*P(Z>1.784) =0.074  

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the two proportions differes at 10% of significance.

4 0
3 years ago
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