MATHEMATICS HIGH SCHOOL

Alex is saving money to buy a new smartphone. he has already saved 250$ he plans on saving 30$ a week. how many weeks will it take for alex to have enough money to buy the smartphone which cost 550$

Answers

Answer 1
Answer:

Answer: To find out how many weeks it will take for Alex to have enough money to buy the smartphone, we need to use the following formula:

weeks=rategoal−saved​

where:

goal is the amount of money he needs to buy the smartphone, which is 550$

saved is the amount of money he has already saved, which is 250$

rate is the amount of money he saves per week, which is 30$

Plugging in these values, we get:

weeks=550−250​/30

Simplifying, we get:

weeks=300​/30

Dividing, we get:

weeks=10

Therefore, it will take Alex 10 weeks to have enough money to buy the smartphone. I hope this helps.
Answer 2
Answer:

Answer:

Not including the 250$ he already saved, it would take Alex 10 weeks to have to 550$ he needs to buy the smartphone.

Step-by-step explanation:

Subtract 250 from 550 and then divide the difference by 30, since Alex plans on saving 30$ per week. The result is 10, which is your answer.

Hope this helps you!

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Which box is greater a 1.5 pound box of raisins or a 650 gram box of raisins?

Answers

The 1.5 pound box of raisins
Convert the 650 grams to pounds and you will get 1.433 pounds which we would round to 1.4

1.5 is definitely greater than 1.4
1.5 gram= 680 grams
it means 1.5 gram box is greater than 650 gram box

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A physical fitness association is including the mile run in its secondary- school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.

Answers

Answer:

0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 440 seconds

Standard Deviation, σ = 50 seconds

We are given that the distribution of time is a bell shaped distribution that is a normal distribution.

Formula:

z_(score) = \displaystyle(x-\mu)/(\sigma)

P(run the mile in less than 325 seconds)

P(x < 325)

P( x < 325) = P( z < \displaystyle(325 - 440)/(50)) = P(z < -2.3)

Calculation the value from standard normal z table, we have,  

P(x < 325) = 0.0107 = 1.07\%

0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.

An air conditioning repair services charges $85.00 per hour, plus a diagnosis fee of $75.00. If the repair costs a total of $385.00, which of the following equations best represents the situation?

Answers

Answer:

you have to put in the answers.

Answer:

$385.00 = $85.00 * 3.647 + $75.00

Step-by-step explanation:

The equation that best represents the situation is:

Total Cost = Hourly Rate x Repair Time + Diagnosis Fee

In this case, the hourly rate is $85.00 and the diagnosis fee is $75.00. We are given that the total cost is $385.00. Let's represent the repair time as "t" in hours.

So, we can write the equation as:

$385.00 = $85.00 * t + $75.00

To solve for the repair time "t", we need to isolate the variable.

First, we subtract $75.00 from both sides of the equation:

$385.00 - $75.00 = $85.00 * t

Simplifying, we get:

$310.00 = $85.00 * t

Next, we divide both sides of the equation by $85.00 to solve for "t":

$310.00 / $85.00 = t

Using a calculator, we find that t is approximately 3.647, which means the repair time is approximately 3.647 hours.

Therefore, the equation that best represents the situation is:

$385.00 = $85.00 * 3.647 + $75.00

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Answers

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A bag has 4 red marbles, 12 blue marbles and 6 yellow marbles. What is the probability of picking a yellow marble, replacing it, and then picking a blue marble?a) 1/18
b) 18/121
c) 15/22
d) 22/131

Answers

Probability of picking a yellow marble = no of yellow marbles/total number of mables = 6/(4 + 12 + 6) = 6/22 = 3/11
Probability of picking a blue marble = 12/22 = 6/11

Probability of picking a yellow marble and a blue marble = 3/11 x 6/11 = 18/121

Benjamin works at a printing company. Heis making T-shirts for a high school volleyball
team. The press he runs can imprint 3 T-shirts
per minute with the school's mascot.

Answers

Answer:

The independent quantity is time and the dependent quantity is T-shirt printed

Step-by-step explanation:

We are asked to determine the dependent and independent quantity.

An independent quantity is a quantity that is not dependent on other quantities while a dependent quantity is a quantity that depends on other quantity. In the the question, the number of T-shirts being made depends on the amount of time the machine works making 3 T shirts per minute, this means that the number of T-shirts made is dependent on the time.

The independent quantity is time and the dependent quantity is T-shirt
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