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sp2606 [1]
3 years ago
6

Jay wants to rent a metal detector. A rental company charges a one-time fee of $15 plus $2 per hour to rent a metal detector. Ja

y only has $35 to spend.
Write the inequality to represent the situation where h is the number of hours Jay will rent a metal detector.
What is the maximum amount of time he can rent the metal detector?
Mathematics
1 answer:
user100 [1]3 years ago
4 0

Step-by-step explanation:

$15 initial fee. $2 per hour. $35 limit.

35 - 15 = 20

After the initial fee, he has $20 left.

20 ÷ 2 = 10

He can rent the metal detector for 10 hours.

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A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
Andrew [12]

Answer:

The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

 

$$ Plan A = $$ Plan B

 

To find the charge on each plan we add the base rate to the per minute call rate for each.

 

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

 

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

 

2700 + 11x = 1300 + 15x

 

Subtracting 11x and 1300 from both sides:

 

4x = 1400

 

x = 350 min.

 

Using this result the plans both cost $65.50 for 350 min of talk time.

Step-by-step explanation:

boom   :)

5 0
3 years ago
Caleb bought groceries and paid
lutik1710 [3]

Answer:

Price of Caleb's groceries before tax= $6.4

Step-by-step explanation:

Let price of groceries before tax be = $ x

Sales tax % = 2.5%

Sales tax applied = 2.5\% \ of\ x = \frac{25}{100}\times x = \frac{25}{100} x

Actual sales tax paid = $1.60

∴ \frac{25}{100}x=1.60

Multiplying both sides by 100.

100\times \frac{25}{100}x=1.60\times 100

25x=160

Dividing both sides by 25.

\frac{25x}{25}=\frac{160}{25}

x=6.4

∴ Price of groceries before tax= $6.4

8 0
3 years ago
Read 2 more answers
A randomized study compared the effectiveness of two mosquito repellents. The treatment group using Spray A reported a mean of 3
BlackZzzverrR [31]

Answer:

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

Step-by-step explanation:

Given that:

The treatment group using Spray A reported a mean of 3.5 mosquito bites.

The treatment group using Spray B reported a mean of 5.6 mosquito bites.

After the data are  re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;

The best conclusion that can be make based on the data from the dot plot is :

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

5 0
3 years ago
Solve with completing the square method:<br>6x²-7x+2=0 and  ax²+bx+c=0
Norma-Jean [14]
6x ^2-7x+2=0\\ \\ a=6 , \ b = -7 , \ c=2 \\ \\\Delta = b^{2}-4ac = (-7)^{2}-4*6*2=49-48=1 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{7-\sqrt{1}}{2*6}=\frac{7-1}{12} =\frac{6}{12}= \frac{1}{ 2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{7+\sqrt{1}}{2*6}=\frac{7+1}{12} =\frac{8}{12}= \frac{2}{ 3}


7 0
3 years ago
Eight times a number increased by 6 is 62
N76 [4]
8x+6=62

8x=62-6

8x=56

X=56/8

X=7

The answer is 7. Hope this helps!
3 0
3 years ago
Read 2 more answers
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