MATHEMATICS MIDDLE SCHOOL

A pilot wants to arrive at her destination as soon as possible. Air traffic is busy, so she can take off 16 minutes later than expected and will be able to travel four times faster than expected if she waits. Create an equation to represent her total travel time, including wait time, where x is the number of minutes the flight was expected to take.

Answers

Answer 1
Answer:

Answer:

(4)/(x)=(1)/(x-16)

21(1)/(3)\ \text{minutes}

Step-by-step explanation:

Let x be the number of minutes the flight was expected to take. Actually, the flight will take (x+16) minutes.

Let S be the distance to be covered.

Expected speed =(S)/(x)

Actual speed =(S)/(x-16) (shee will be flying 16 minutes less)

The pilot will be able to travel four times faster than expected if she waits, so

4\cdot (S)/(x)=(S)/(x-16)\ \ \ \text{[Divide by S]}\n \n(4)/(x)=(1)/(x-16)\ \ \ \text{[Cross multiply]}\n \n4(x-16)=x\n \n4x-64=x\n \n4x-x=64\n \n3x=64\n \nx=(64)/(3)=21(1)/(3)\ \text{minutes}

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Write simultaneous equations to describe the situation below, solve using substitution, and fill in the blanks.Alexa just became a personal trainer and is finalizing her pricing plans. One plan is to charge €61 for the initial consultation and then €32 per session. Another plan is to charge €66 for the consultation and €27 per session. Alexa realizes that the two plans have the same cost for a certain number of sessions. How many sessions is that? What is that cost?

For blank sessions, the cost is € blank on either plan.

Answers

x - the number of sessions
y - the cost

The system of equations:
y=61+32x \ny=66+27x

The solution:
y=61+32x \ny=66+27x \n \n\hbox{substitute 61+32x for y in the 2nd equation:} \n61+32x=66+27x \n32x-27x=66-61 \n5x=5 \ \ \ |/ 5 \nx=1 \n \ny=61+32x \ny=61+32 * 1 \ny=61+32 \ny=93 \n \n(x,y)=(1,93)

For 1 session, the cost is €93 on either plan.

How do you find the area of a circle? Isn't it π and something?

Answers

Hi there!


You are partially correct on the π symbol, but there's more!


The formula for finding the area of a circle is:


A = π r².


A stands for area, π stands for pi, and r stands for radius. The ² is there because the radius is half as big as the diameter of a circle.


Hope this helps! :D


And remember, you can message me whenever you need to on anything you may need help with!

Tickets to a museum cost $17 each. For a field trip, the museum offers a $4 discount on each ticket. How much will tickets for 32 students cost?

Answers

17-4=$13
So our tickets now cost $13
So multiply that by 32
13•32=$416
For this problem you sinply multiply 4 by 32.

4 x 32 = 128

Therefore it will cost $128 for a field trip with 32 students

What is the sum of the angles on a straight line?

Answers

The answer is:

180°      

Hope this helped! <3

The sum of angles on a straight line is always 180 degrees.

In the number 5.3779, how does the value of the 7 in the hundredths place compare to the value of the 7 in the thousandths place?The value of the 7 in the hundredths place is 100 times​ the value of the 7 in the thousandths place.

The value of the 7 in the hundredths place is 1/10 the value of the 7 in the thousandths place.

The value of the 7 in the hundredths place is 10 times​ the value of the 7 in the thousandths place.

The value of the 7 in the hundredths place is 1/100 ​ the value of the 7 in the thousandths place.

Answers

The value of the 7 in the hundredths place is 1/10 the value of the 7 in the thousandths place.

What is the Decimal Place Value?

A decimal number is made up of a whole number and a fractional part that is separated by a dot called the decimal point .

The digits before the decimal point represent the usual place values like ones, tens, hundreds, thousands, and so on. Whereas the digits after the decimal point represent place values starting from tenths, followed by hundredths, then thousandths, and so on.

According to the question

The number is  5.3779

The value of the 7 in the hundredths place = 0.07

The value of the 7 in the thousandths place = 0.007

Therefore,

The value of the 7 in the hundredths place * (1)/(10) = The value of the 7 in the thousandths place

Hence, The value of the 7 in the hundredths place is 1/10 the value of the 7 in the thousandths place.

To know more about Decimal Place Value here:

brainly.com/question/20563248

#SPJ2
C. The value of the 7 in the hundredths place is 10 times the value of the 7 in the thousandths place.

Just want you check if my answer is right...i'm not good in math.Ana paid 1/4 of her money for a pair of shoes and 1/5 of it for a shoulder bag. She later spent 3/8 less the remainder of her money for a dress. What part of her money did she pay for the dress?
Answer: 3/8 of 1/4 - 1/5
= 3/8 of 11/20 = 33/160

Answers

x -> her money;
( 1 / 4 )*x = x / 4 for a pair of shoes;
( 1 / 5 )*x = x / 5 for a shoulder bag;
x - x / 4 -x / 5 = 20x / 20x - 5x / 20x - 4x / 20x = 11x / 20 the remainder;
11x / 20 - ( 3 / 8 )*x = 11x / 20 - 3x / 8 = 22x / 40 - 15x / 40 = 7x / 40 for her dress;
She pay 7 / 40 of her money for the dress.
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