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snow_lady
1 day ago
13

If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to

Mathematics
1 answer:
AnnZ [12K]1 day ago
3 0

Response:

55 mph. All options are incorrect.

Detailed explanation:

When speed changes inversely with the time taken, it can be expressed as v ∝ 1/t, where:

v represents speed,

t refers to the time taken.

This leads to;

v = k/t, with k being a constant of proportionality.

Given that Kris takes 5 hours traveling at 55 mph, we replace v with 55 mph and t with 5 hours in the equation to find k as follows:

55 = k/5

Cross-multiplying yields:

k = 55 * 5

k = 275

To determine the speed Martin needs to drive for 5 hours, we substitute k = 275 and t = 5 back into the original equation v = k/t as follows:

v = 275/5

v = 55 mph

Thus, we conclude that in order to travel for 5 hours, Martin must also drive at 55 mph.

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Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was incr
AnnZ [12046]
First, we determine the percentage increase for the tax.

Initial amount = 25×9 = 225 ⇒ The 9 signifies 9 lots of thousands representing the house's value.
New amount = 28×9 = 252

Tax increase = 252 - 225 = 27  
Percentage increase = (27÷225) ×100 = 12%

Therefore, the yearly rent should rise by 12%

Monthly rent is $60
Yearly rent = 60×12 = $720
With a 12% increase = 720×1.12 = 806.4 ⇒ Here, 1.12 is the multiplier derived from 100%+12%=112%=1.12

Monthly rent becomes 806.4÷12 = $67.20, resulting in an additional $7.20 each month.
5 0
24 days ago
Micaela has a bat that is 30 inches long. She wants to fit it in a cube shaped box that has sides that are 17 inches. Will the b
PIT_PIT [12009]
No, the bat won't fit because 30 divided by 17 equals 1.765

6 0
13 days ago
Read 2 more answers
A sandbox is 2.5 m wide and 3.4 m long.
zzz [11984]

Answer:

2.55 cubic meters of sand

Step-by-step explanation:

The inquiry focuses on how much sand is needed to completely fill the sandbox. As it is a three-dimensional shape, the concept of 'Volume' is applicable. Volume is determined through the formula L × W × H. By substituting the relevant variables into this equation, you arrive at the final solution. I hope this offers clarity!

5 0
1 month ago
A follow-up study will be conducted with a sample of 20 people from the 300 people who responded yes (support) and no (do not su
PIT_PIT [12009]

Response:

Detailed explanation:

Hello!

Stratified sampling involves the categorization of the population into subgroups based on pre-established criteria for the study. These subgroups consist of homogeneous units concerning the relevant characteristics. In this instance, individuals in the groups will represent only one of the two potential opinions (support or not support) and not both.

The researcher determines the sample size desired, considering several factors such as finances, material availability, and accessibility to experimental subjects (for instance, if they are endangered species, larger sample sizes may not be feasible).

One might conduct proportionate stratified sampling by selecting a proportion of respondents who answered "yes" along with those who answered "no."

In this sampling method, taking a specific proportion from each subgroup allows for a more straightforward extrapolation of results to the overall populations. For example, if you needed a sample size of n = 20, each stratum would ideally contain half, meaning 10 from the “yes” group and 10 from the “no” group.

I hope this is helpful!

4 0
1 month ago
Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza wit
PIT_PIT [12009]

Result: OPTION D.

Step-by-step reasoning:

The total cost for Lindy can be calculated employing the expression given in the task:

0.90(2.25d + 1.40t + 6)

Here, "d" signifies the drinks ordered and "t" represents the toppings on a medium pizza she selects.

Since she and her friends order 4 drinks alongside a medium pizza that includes 3 toppings, you can derive the total cost by substituting these values into the provided expression.

The values are:

d=4\\\\t=3

Upon substituting into the expression and performing the calculations, the result is:

 0.90(2.25d + 1.40t + 6)= 0.90(2.25(4) + 1.40(3) + 6)=\$17.28

4 0
3 days ago
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