Life Pre-intermediate - Unit 3
MULTIPLE CHOICES: Choose the correct option (a-c).
1. It's not far to the town centre and it's quicker if you go ____ foot.
A. on B. by C. with
2. We are moving our furniture ____ lorry.
A. by B. with C. on
3. Which ____ does the train to Norwich leave from?
A. platform B. gate C. stop
4. For the History museum ____ the bus at the next stop.
A. drop off B. get off C. check in
5. I can't park at the bus station but I can ____ outside when you arrive.
A. get you off B. drop you off C. pick you up
6. The bus ____ is more expensive now than it was the last time I was here.
A. price B. fare C. cost
7. Excuse me, does the ticket machine give ____?
A. price B. fare C. change
8. There is a taxi ____ right outside the train station.
A. station B. stop C. rank
9. What time do you want me to pick you ____ from the station?
A. by B. off C. up
10. We have to ____ at the airport two hours before the plane leaves.
A. check in B. get on C. book

Step-by-step explanation:

The exact solutions are: x = 11 + √72 and x = 11 - √72

The approximate solutions are: x = 19.49 and x = 2.51

[tex]\\ \sf\longmapsto (x-11)^2=72[/tex]

[tex]\\ \sf\longmapsto x-11=\sqrt{72}[/tex]

[tex]\\ \sf\longmapsto x-11=\pm 8.48[/tex]

[tex]\\ \sf\longmapsto x=11-8.48\:or\:11+8.48[/tex]

[tex]\\ \sf\longmapsto x\approx 2.52\:or\:19.48(Approximate)[/tex]

[tex]\\ \sf\longmapsto x=3\:or\:19(Exact)[/tex]

Answer:

81/10 or 10

Step-by-step explanation:

81:18 - 8 = 81/10 simplified

sorry if am wrong i tried :L

Changes made to your input should not affect the solution:

Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).

x3+x2-8x-12 is not a perfect cube

Factoring: x3+x2-8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)

Answer:

8 pieces

Step-by-step explanation:

2/3 = 1/12c

cross-multiply to get:

3c = 24

c = 8

Answer:

3?

Step-by-step explanation:

is this a trick question..

24/8=3 cm

So a rat is 3 cm times as long as a mouse

Answer:

Step-by-step explanation:

The period of a simple pendulum is

T = 2π√(L/g)

as going from zero velocity to max velocity takes 1/4 of a period

t = ¼(2π)√(L/g)

t = ½π√(L/g)

t = ½π√(0.864/9.81)

t = 0.466 s

Answer:-2.4f + 0.4f -15-3Step-by-step explanation:

Answer:

-1.8f - 19

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

because the whole circle is 100% and half of it is shaded

so.... 50%

[tex] \: \: \: \: [/tex]

[tex] lim_{n→ \infty }( \frac{xe ^{x} }{x + ex} ) [/tex]

[tex] \frac{x {e}^{x} }{x + ex} [/tex]

[tex] = \frac{ {e}^{x} }{1 + e} [/tex]

[tex] \: \: \: [/tex]

Answer:

Option B

Step-by-step explanation:

[tex]PV = nRT\\\rule{150}{0.5}\\\rightarrow \frac{PV = nRT}{nR}\\\\\rightarrow \boxed{\frac{PV}{nR} = T}[/tex]

Hope this helps.

The equation for T will be;

⇒ T = PV/nR

Where, P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas.

Option B is true.

What is Linear equation?

When in an equation the highest power of variable is one then its called Linear equation.

Given that;

The equation for the ideal gas law is,

PV = nRT

Where, P, V, and T represent pressure, volume, and temperature,

n represents the number of moles of gas, and R is a constant for the ideal gas.

Now,

Solve the equation for T as;

PV = nRT

Divide both side by 'nR' we fet;

PV/nR = nRT/nR

PV/nR = T

T = PV/nR

Thus, The equation for T will be;

⇒ T = PV/nR

Learn more about the linear equation visit:

https://brainly.com/question/85774

#SPJ5

Answer:

1

Step-by-step explanation:

Perpendicular lines always have the opposite slope (meaning that you have to switch the numerator and denominator) and sign when comparing to the given equation.

To start off, convert the equation to be formatted into y=. You do this by first subtracting the 3x from both sides of the equation so that it now reads 3y=-3x-273y=−3x−27 . Now, divide the whole equation by three in order to get rid of the value attached to the y. The equation should now read to be: y=-x-9y=−x−9 . Now, just switch the the slope into its opposite (which is the reciprocal) and switch the negative sign into a positive.

false for 4.

ture for the 1st one

brianliest me

Answer:

1 True. 2. True

Answer: y = (1/2)x + 3

Step-by-step explanation:

The equation in slope-intercept form  y = (1/2)x+3

To determine how to write an equation from two points, we must determine the value of the slope and the yy-intercept. First, we will calculate the slope. This will be the value of mm in the slope-intercept form equation:

y=mx+b

Let’s answer the question, “What is the slope-intercept form of a line going through the points (1,5)(1,5) and (-4,7)(−4,7)?”

Remember, to calculate the slope we use the equation:

y2-y1/x2-x1

Therefore, the slope of the line is

-2/5

​

We can substitute

-2/5 for m.

To learn more about equation in slope-intercept refer to:

https://brainly.com/question/1884491

Answer:

K=2

Step-by-step explanation:

Given y=(1/2)^x

y=2^-x

Hope this helps :)

9514 1404 393

Answer:

Step-by-step explanation:

It looks like your interactive graphing tool needs you to plot some points on each of the lines. For these lines, it is convenient to use the x- and y-intercepts. Each intercept can be found by dividing the constant by the coefficient of the variable.

-7x -2y = 14

The x-intercept is 14/-7 = -2. Plot (-2, 0) on the x-axis.

The y-intercept is 14/-2 = -7. Plot (0, -7) on the y-axis.

6x +6y = 18

The x-intercept is 18/6 = 3. Plot (3, 0) on the x-axis.

The y-intercept is 18/6 = 3. Plot (0, 3) on the y-axis.

__

The point of intersection of the two lines is the solution: (x, y) = (-4, 7).

Answer:

-3 < x < 2

Step-by-step explanation:

-8 < 3x + 1 < 7

-8 < 3x + 1   ....... eqn 1

3x + 1 < 7  ...........eqn 2

-8 < 3x + 1

-8 - 1 < 3x

-9 < 3x

-9/3 < x

-3 < x

3x + 1 < 7  ...........eqn 2

3x < 7 - 1

3x < 6

x < 6/3

x < 2

= -3 < x < 2

Answer:

42/8= 5 2/8

explanation:

8*5=40  42-40=2

therefore  

42/8= 5 2/8

Answer:

[tex]5 \frac{2}{8} [/tex]

Step-by-step explanation:

Basically, mix number is formed by 3 parts,

They are,

* A whole number

* A numerator

* A denominator

Now lets write this number as a mix number,

First simply divide 42 by 8

[tex] \frac{42}{8} = 5[/tex]

[tex]remainder = 2[/tex]

Now you can write the remainder as a fraction,

[tex] \frac{2}{8} [/tex]

And now you can write the mix number like this,

[tex]5 \frac{2}{8} [/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

1) GCF is 1 in this case

2) GCF is 36

3) GCF is 3

4) GCF is 2

Step-by-step explanation:

Well GCF is greatest common factor, with that it Has to be the greatest and a common factor between 2 numbers. You can always list them out for example GCF of 3 and 12

THe factors of 3 are

1-3

The factors of 12 are

1-2-3-4-6-12

The greatest common one is 3.

Answer:

GCF = 1

GCF = 36

GCF = 3

GCF = 2

Step-by-step explanation:

45 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

36 & 36

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 36.

45 & 6

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 3.

30 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 2.

Can I have brainliest?

[tex]\\ \sf\longmapsto 2450=2\times 35\times 35\times 1^{10}[/tex]

#2

[tex]\\ \sf\longmapsto 35000=35\times 10(10)(10)\times 1^{10}[/tex]

#3

[tex]\\ \sf\longmapsto 4000400=2\times 2\times 1001\times 100\times 1^{10}[/tex]

#4

[tex]\\ \sf\longmapsto 10101010=1010101\times 10\times 1^{10}[/tex]

Step-by-step explanation:

The numbers are given in the form of N*10ⁿ, where N is a natural number

Answer:both involving 6 and 7. (-6,-7) would be in quadrant 3 while point (-6,7) would be on top of it in quadrant 2.

Step-by-step explanation:

Answer:

The unknown value is being subtracted from 702 is 650

Step-by-step explanation:

Long division setup showing an incomplete calculation

13 is in the divisor

3302 is in the dividend

2 hundreds and 5 tens is written in the quotient

2600 is subtracted from 3302 to give 702

An unknown value represented by a box is being subtracted from 702

We need to find this number

Lets write the steps above

∵ The dividend = 3302

∵ The divisor = 13

- 2 hundreds means 200 and 5 tens means 50

∵ The quotient = 200 + 50 + x

∵ Dividend = divisor × quotient

∴ (13 × 200) + (13 × 50) + (13 × x) = 3302

∵ 13 × 200 = 2600

- Subtract 2600 from the dividend

∴ 3302 - 2600 = 702

∵ 13 × 50 = 650

∴ 702 - 650 = 52 ⇒ 650 is the unknown value

∵ 13 × x = 13x

∵ 52 - 13x = 0

- Add 13 x to both sides

∴ 52 = 13x

- Divide both sides by 13

∴ x = 4

∴ 3302 ÷ 13 = 200 + 50 + 4

∴ 3302 ÷ 13 = 254

∴ From the steps above the missing number subtracted from

  702 is 650

Answer:

1:5

Step-by-step explanation:

put no. of triangles over no. circles because it asks triangles to circles

2/10

1/5........simplify

Answer:

The answer is 12/7.

Step-by-step explanation:

To get the answer, simply subtract -1 to 5/7

[tex]\frac{5}{7} - (-1)\\[/tex]

Find the least common denominator.

[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]

= 12/7

To check, add -1 to 12/7.

[tex]\frac{12}{7} + (-1)[/tex]

Find the least common denominator.

[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]

= 5/7