For a particular 5 hours journey, Alex travelled at an average speed of (2x + 5) km/h for
the first 2 hours. He then travelled at an average speed of (3x - 5) km/h for the last 3
hours to complete his journey.

(a) Write down an expression, in terms of x, to represent the distance travelled by
Alex in the first 2 hours of his journey

Answers

Answer 1

Answer:

4x + 10

Step-by-step explanation:

Given

Let

[tex]t = time[/tex]

[tex]s = speed[/tex]

So:

[tex]t = 2; s = (2x +5)[/tex] --- first 2 hours

[tex]t = 3; s = (3x -5)[/tex] --- last 3 hours

Required

Distance covered in the first 2 hours

Distance (d) is calculated as:

[tex]Distance = speed * time[/tex]

i.e.

[tex]d = s * t[/tex]

For the first 2 hours, we have:

[tex]t = 2; s = (2x +5)[/tex]

So:

[tex]d = (2x + 5) * 2[/tex]

Open bracket

[tex]d =2x * 2 + 5 * 2[/tex]

[tex]d =4x + 10[/tex]

Hence, the distance covered in 4x + 10


Related Questions

. A store increases profits by marking up the price of soda by 15%. Which expression represents the new price of soda if the original cost is s dollars? A) 0.15 B В 1.15$ © 0.855 Ds + 15​

Answers

Answer: A

Step-by-step explanation:

Give me a topic for my mathematical investigation.​

Answers

There are a few you can choose from:

Statistics and probability

Geometry

Proofs

Triangles

Circles

Numerical sequences

Number Theory

etc.

ANSWER FAST
.Give the value of a.
a - 15 = 21

Answers

Answer:

a=36

Step-by-step explanation:

a - 15 = 21

   +15    +15

a = 36

A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3

Answers

Answer:

The best measure of center for a set of data is the median value.

To find the median list the values from

Smallest to largest:

0, 0, 1, 1, 2,2, 2, 14

Since there is an even number of values, find the middle two numbers, add them together and divide by 2:

1+2 = 3

3/2 = 1.5

The answer is median 1.5

Step-by-step explanation:

plz brain list

which of the following is equivalent (x+1)^2

Answers

Answer:

B. x^2 + 1

Step-by-step explanation:

Because squaring the value of 1 does not change its value, the equation would function the same way the original equation if x was the only value squared.

HELP PLEASE like I really need help

Answers

1) C
2)B
mark this as brainiest

Bethany is making a rectangular fenced- in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long.
what's the total length of fencing that Bethany will need in feet?​

Answers

Answer:

The total length of fencing that Bethany will need is 21.5 feet.

Step-by-step explanation:

Since Bethany is making a rectangular fenced- in area for her rabbit in her yard, and the area measures 4 3/4 feet wide by 2 yards long, to determine what's the total length of fencing that Bethany will need in feet the following calculation must be performed:

1 yard = 3 feet

2 yards = 6 feet

3/4 = 0.75

4.75 x 2 + 6 x 2 = X

9.5 + 12 = X

21.5 = X

Therefore, the total length of fencing that Bethany will need is 21.5 feet.

Help pls show work if needed

Answers

Answer: The mode is 12

Step-by-step explanation: It is the most common number in the data set.

The complex plane is also known as what?​

Answers

Z-plane could be an answer
the complex plane or z-plane is the plane associated with complex coordinate system, formed or established by the real axis and the perpendicular imaginary axis. ... The complex plane is sometimes known as the Argand plane or Gauss plane. There you go

what is this???????????????????????

Answers

Answer:

Without knowing anything else about the problem, the shaded part looks like the cross-sectional area.

Please help me please

Answers

Answer:

Option D

Step-by-step explanation:

→ Simplify the option

3 × 3 × 2 × 2 = 36

→ Simplify the other part

3 × 2 × 2 = 12

HELP LOL!!
What is the independent variable?
Amplitude
Frequency
Tension
Density
Speed

6. What is the dependent variable?
Amplitude
Frequency
Tension
Density
Speed

7. What are the constants? (Choose 3)
Amplitude
Frequency
Tension
Density
Speed

Answers

Tension , amplitude ,speed

11. Explain how to evaluate the expression 9 +(45 x 2) = 10.

Answers

The Answer Is 18

Order Of Operation laws says that you must do the parentheses first, 45x2.

45x2=90

The next thing you must do is divide 90 by 10 since division is before addition.

90/10=9

Now combine like terms.

9+9=18

Do Pemdas
45x2=90 divided by 10 equals 9+9=18
Answer is 18

Find the area of the circle when the circumference is 26 in

Answers

Answer:

"None of the answers are correct."

Step-by-step explanation:

The formula for Area given the circumference is A = [tex]\frac{C^{2} }{4\pi }[/tex]

[tex]\frac{26^{2} }{4\pi } = 53.79437[/tex]

So none of the above are correct

Need help with this problem!!

Answers

Answer:

Area:

4 x 4 = 16

Finding area of semi circle:

4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!

2^2<---your radius being squared = 4

4(radius squared) x 3.14(pi) = 12.56

12.56 divided by 2 since its a semi circle is = 6.28

6.28 + 16 = 22.28 is your area

Perimeter is:

4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12

Circumference:

Radius is 2,

2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56

12.56 divided by 2 = 6.28

6.28 + 12 = 18.28 is your perimeter.

Just a refresh:

Circumference Formula:

2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius

Area of a Circle Formula:

Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)

Another thing you should remember:

Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!

Use the given information below to determine the value of x.
A. 121
B. 180
C. 59
D. 62

Answers

C. Bc it is the only one that makes sense

Use the figure to find the measures of the numbered angles.
EXPLAIN YOUR REASONING

Answers

6 is 61
5 and 7 are 119 (180 - 61)
4 and 2 are 61
1 and 3 are 119

Answer:

1 = 61°

2 = 119°

3 = 61°

4 = 119°

5 = 119°

6 = 61°

7 = 119°

Step-by-step explanation:

∠1 and 61° are corresponding angles, therefore, they would be the same angle; ∠1 = 61°.

∠2 and 61° are supplementary angles, therefore, ∠2 would be 119°.

∠3 and ∠1 are vertical angles, therefore, ∠3 = 61°.

∠4 and ∠3 are supplementary angles, therefore, ∠4 would be 119°.

∠5 and 61° are supplementary angles, therefore, ∠5 would be 119°.

∠6 and ∠1 are alternate exterior angles, therefore, ∠6 would be 61°.

∠7 and ∠6 are supplementary angles, therefore, ∠7 would be 119°.

What is (5b + 3x)(5d-3b)

Answers

The answer is 25bd-15^2+15dx-9bx

HELP ME IN MATH PLEASE IM FAILING :( NO FAKE ANSWERS PLS :)

Answers

The area of a parallelogram has the following formula: A=bh

Plug-in the given numbers.

Base=14cm

Height=13cm

A=bh

A=14 x 13

A=182

Therefore, the area of the figure is 182cm2

Answer:  182 square centimeters

Step-by-step explanation:

The formula for finding the area of a parrallelogram is A = bh.  If the top measurement is 14 cm, then the bottom measurement is also 14 cm.  The height is 13 cm.  

A = (14) (13)

A =  182 cm^2  

Jena has a small jewelry box in the shape of a cube with side lengths of two inches. How much greater is the volume of her large jewelry box with the dimensions 7 inches, 5 inches, and 4 inches?
Plz help no links please

Answers

Answer:

216 cubic inches

Jena's large jewelry box is 132 inches³ bigger than her small cube jewelry box.

What is a cube?

A cube is a three dimensional figure. All of it's sides are equal in length and all the planes of it are perfect square.

Given, length of the each side of Jena's small jewelry box = 2 inches.

Therefore, the volume of the small jewelry box is = 2³ inches³ = 8 inches³.

Again, length of the each side of Jena's small jewelry box are 7 inches, 5 inches, and 4 inches.

Therefore, the volume of the small jewelry box is = (7 × 5 × 4) inches³ = 140 inches³.

Hence, the difference = (140 - 8) inches³ = 132 inches³.

Learn more about cube here: https://brainly.com/question/21270685

#Tag#SPJ2

What is the surface area of the net? *inches squared*

Answers

9514 1404 393

Answer:

  75 in^2

Step-by-step explanation:

The central vertical rectangle (including "ears") has dimensions

  3 in wide by (9+2+2) = 13 in tall

Its area is

  A = LW = (3 in)(13 in) = 39 in^2

__

The two rectangles either side of that have dimensions 2 in by 9 in. The area of each of them is

  A = LW = (2 in)(9 in) = 18 in^2

__

The total net area is the sum of the areas of the parts:

  left rectangle + central rectangle + right rectangle

  = 18 in^2 + 39 in^2 + 18 in^2 = 75 in^2 . . . . surface area of the net

Find the level of measurement (nominal, ordinal, interval, or ratio) and type quantitative or qualitative) for the following variable.
a. End-of-year stock classification (high yield, medium yield, or low yield)
b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long.
c. Temperature (in degrees Celsius)
d. Duration (in minutes) of a call to a customer support line

Answers

Answer:

a. Nominal and qualitative.

b. Ratio and quantitative.

c. Interval and quantitative.

d. Interval and quantitative.

Step-by-step explanation:

A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;

1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

3. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

4. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

In this scenario, the level of measurement and data type are listed below;

a. End-of-year stock classification (high yield, medium yield, or low yield): the level of measurement is nominal because they are categorized. Also, the type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.

b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long: the level of measurement is a ratio because they can be arranged in order. Also, it's a quantitative data because it is numerical in nature.

c. Temperature (in degrees Celsius): the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.

d. Duration (in minutes) of a call to a customer support line: the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.

Leia, Chewy, Han Solo, and Luke have to cross a bridge. They only have one flashlight, and the bridge can only hold two people at a time. They each take a different length of time to get across the bridge. At any time, a group of two can only move as fast as the group's slowest person. The times that it takes each person to cross the bridge are:
Chewy -- ten minutes
Han Solo -- five minutes
Leia -- two minutes
Luke -- two minutes
How can the four get across the bridge the fastest?

Answers

Answer:

luke and han solo

Step-by-step explanation:

because han solo have the most mins and luke is one of thr 2 mins and that added is 7min

Lois is painting a mural on the side of a building. The side of the building is 14 feet by 9
feet. Lois got a deal on paint cans that each cover 5 square feet. How many of these
paint cans will she need to cover the side of the building?

Answers

Answer:

I believe it is 29 cans of paint right?

Hope this helps

harrison bought a 10 foot ramp to load his dirt bike into the back of his truck. the ramp hooks to the 3 foot high tailgate. how far away from the tailgate doe the ramp sit in the ground?

Answers

Answer:

9.54 feet

Step-by-step explanation:

Using Pythagoras rule :

Length of ramp = 10 feets = hypotenus

Hypotenus² = opposite² - adjacent²

d² = 10² - 3²

d² = 100 - 9

d² = 91

d = √91

d = 9.5393920

d = 9.54 feets

A bakery offers a sale price of $2.80 for 3 muffins. What is the price per dozen?

Answers

Answer: 11.2$

Step-by-step explanation:

I will give you Brainiest if you are right.

Answers

Students 1 and 4. An expression is something that doesn’t have an equal sign

Answer:

Students 1 & 4

Step-by-step explanation:

An expression has NO equal sign, EQUATIONS have equals.

2 & 3 have equals which makes then equations.

~R3V0

Given: AB || DE

Which can be used to prove ABC - EDC?
a.
AA Similarity Postulate
C.
ASA Similarity Theorem
b.
SSS Similarity Theorem
d.
SAS Similarity Theorem

Answers

Answer:

a. AA Similarity Postulate

Step-by-step explanation:

the AA Similarity Postulate says that if two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.

AB and ED are parallel, so

∠BCA and ∠ECD are congruent because they're vertical angles∠BAC and ∠CED are congruent because they're alternate interior angles

Hello :D help pls? Thanks
What is the area of this partial circle if the radius is 8 inches long? Leave your answer in terms of pi.

Answers

Answer:201.06

Step-by-step explanation:

What is the value of 6 r + 6 − 4 s , when r = 7 and s = 3 ?

Answers

Answer:

36

Step-by-step explanation:

6r + 6 - 4s

r = 7

s = 3

6(7) + 6 - 4(3)

42 + 6 - 12

(remember PEMDAS, adding/subtracting left to right)

48 - 12 = 36

therefore the answer is 36

hope this helps ! :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{6r + 6 - 4s}[/tex]

[tex]\large\text{If r = 7 & s = 3, then SUBSTITUTE it into the EQUATION}[/tex]

[tex]\large\textsf{6(\underline{7}) + 6 - 4(\underline{3})}[/tex]

[tex]\large\textsf{6(7) = \bf 42}[/tex]

[tex]\large\textsf{\bf 42}\large\textsf{ + 6 - 4(3)}[/tex]

[tex]\large\textsf{42 + 6 = \bf 48}[/tex]

[tex]\large\text{\bf 48}\large\text{ - 4(3)}[/tex]

[tex]\large\textsf{4(3) = \bf 12}[/tex]

[tex]\large\textsf{48 - \bf 12}[/tex]

[tex]\large\textsf{= \bf 36}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf 36}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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