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Vinil7 [7]
2 years ago
10

Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. O

ver the 7 hour time period what Jenny's average speed?
Mathematics
1 answer:
Helga [31]2 years ago
6 0
Jenny traveled 70 km/h over 2 hours and 63 km/h over 5 hours. Her travel time was a total of 7 hours. 

We need to find out how far she traveled during this 7-hour period.

70 km/h * 2 h = 140 km 
63 km/h * 5 h = 315 km

Then, we can add 140 km and 315 km to get a total distance traveled of <em>455 km/h.</em>

We were asked to find the average <em>speed.</em> We can find it now, since we have total distance traveled (455 km) and total time taken (7 hours).

Then, 
455km / 7h = 65 km/h.
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Marco has drawn a line to represent the perpendicular cross-section of the triangular prism. Is he correct? Explain. triangular
evablogger [386]

Answer:

The correct option is;

Yes, the line should be perpendicular to one of the rectangular faces

Step-by-step explanation:

The given information are;

A triangular prism lying on a rectangular base and a line drawn along the slant height

A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces

Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).

8 0
1 year ago
Read 2 more answers
Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan
vovangra [49]

Answer:

  a.  Loan Q’s finance charge will be $83.73 greater than Loan P’s.

Step-by-step explanation:

<u>Loan P</u>

Monthly payments for a 9-year 5.8% loan for $19,450 are $231.59, so the total repaid is ...

  108 payments × $231.59 per payment = $25,011.72

Together with the service charge, the cost of the loan is ...

  $25,011.72 + 925.00 - 19,450 = $6,486.72

__

<u>Loan Q</u>

Monthly payments for a 10-year 5.5% loan for $19,450 are $211.08, so the total repaid is ...

  120 payments × $211.08 per payment = $25,329.60

Together with the service charge, the cost of the loan is ...

  $25,329.60 +690.85 -19,450 = $6,570.45

__

Difference of charges

The cost of Loan Q exceeds that of Loan P by ...

  $6,570.45 -6486.72 = $83.73 . . . . . matches choice A

_____

The payment values here were computed using a financial calculator. They can be found using the TVM Solver of a graphing calculator (TI-84), or by any spreadsheet. A number of web sites will also calculate loan payment values, or you can use the formula in your text to compute them yourself.

3 0
1 year ago
Bryce wrote the linear regression equation (Y=1.123x-6.443 to predict arm span,y,of a person who is x inches tall Riley has an a
Naya [18.7K]
B) 65.84 add 67.5 and 6.443 and divide sum by 1.123
7 0
1 year ago
The low temperature in Leroy's town one day was Negative 4 degrees Fahrenheit. The difference between the high temperature and t
Ivenika [448]

The high temperature was 2 degrees Fahrenheit in the town that day.

Step-by-step explanation:

Given,

Low temperature in Leroy's town = -4 degree Fahrenheit

Difference between low and high temperature = 6 degrees Fahrenheit

Equation used to find high temperature h;

h-(-4)=6

Solving the equation

h+4=6\\h=6-4\\h=2

The high temperature was 2 degrees Fahrenheit in the town that day.

Keywords: equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

3 0
1 year ago
Read 2 more answers
A town has a population of 5000 and grows 3.5% every year. To the nearest tenth of a year, how long will it be until the populat
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

This is an exponential function. In order to find the answer to the question, we need to first determine what the equation is that models this information. The standard form for an exponential function is

y=a(b)^x where a is the initial value and b is the growth/decay rate. If the starting population is 5000, then

a = 5000

If the population is growing, that means that it retains 100% of the initial population and is added to by another 3.5%. So in a sense the population grows 100% + 3.5% = 103.5% or, in decimal form, 1.035. So

b = 1.035

Our function is

y=5000(1.035)^x where y is the ending population and x is the number of years it takes to get to that ending population. We want to know how long, x, it will be til the population reaches 7300, y.

7300=5000(1.035)^x and we need to solve for x. The only way to do that is by using logs. I'll use natural logs for this.

Begin by dividing both sides by 5000 to get

1.46=1.035^x and take the natural log of both sides:

ln(1.46)=ln(1.035)^x

The power rule for natural logs is that we can now bring the exponent down in front of the ln to get:

ln(1.46)=xln(1.035) To solve for x, we now divide both sides by ln(1.035):

\frac{ln(1.46)}{ln(1.035)}=x

Do that division on your calculator and get that

x = 11.0 years.

That means that 11 years after the population was 5000 it will be expected to reach 7300 (as long as the growth rate remains 3.5%)

5 0
2 years ago
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