the scale on a map is 1:10 000
a) two towns are 17km apart
how far apart would the be on the map?
give your answers in centimeters.
b) the viewpoint and the pier are 7.1cm apart on the map.
how far apart would they be in real life?
give your answers in kilometers.

Answer:

C. 3n+13

Step-by-step explanation:

When you simplyfy 3(n-3)+4 you get 3n-9 +4, Then you add 4 to 9 since addition comes before subtraction and you would get the answer 3n+13.

Answer:

110000

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

2t(t-4)

(2t x t)(2t x -4)

2t^2 - 8t

Answer: 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

putting value

2x - 4(3x) =3

2x- 12x = 3

-10x = 3

Answer:

D

Step-by-step explanation:

Answer:

375 dollars.

Step-by-step explanation:

1 month's payment = $125

3 month's payment = 3*$125 = $375

Answer:

$375

Step-by-step explanation:

she paid 3 TIMES (125)

3x125= 375

hope this helps

Answer:

y = 0.3

Step-by-step explanation:

Solve for y:

[tex] \longrightarrow [/tex] (3.2y - 1.8) - (5.2 y + 3.4) = -5.8

-(5.2y + 3.4) = -5.2y - 3.4:

[tex] \longrightarrow [/tex]3.2y - 1.8 -5.2y - 3.4 = -5.8

Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):

[tex] \longrightarrow [/tex] (3.2y - 5.2y) + (-1.8 - 3.4) = -5.8

3.2y - 5.2y = -2 y:

[tex] \longrightarrow [/tex] -2y + (-1.8 - 3.4) = -5.8

-1.8 - 3.4 = -5.2:

[tex] \longrightarrow [/tex] -5.2 - 2y = -5.8

Add 5.2` to both sides:

[tex] \longrightarrow [/tex] (5.2 - 5.2) - 2y = 5.2 - 5.8

5.2 - 5.2 = 0:

[tex] \longrightarrow [/tex] -2y = 5.2 - 5.8

5.2 - 5.8 = -0.6:

[tex] \longrightarrow [/tex] -2y = -0.6

Divide both sides of -2y = -0.6 by -2:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{-2}{-2}y = \dfrac{-0.6}{-2} [/tex]

[tex] \sf \dfrac{-2}{-2} = 1: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf y = \dfrac{-0.6}{-2} [/tex]

[tex] \sf \dfrac{-0.6}{-2} = 0.3: [/tex]

[tex] \longrightarrow [/tex] y = 0.3

Answer:

Step 2 Hope this helps

Step-by-step explanation:

Answer:

step:2

Step-by-step explanation:

12x-6=14+2x it must be there.

Answer:

wait.. almost done...

Step-by-step explanation:

Answers:

Larger bottle = 44 gallons

Smaller bottle = 33 gallons

=====================================================

Explanation:

L = capacity of larger bottle

S = capacity of smaller bottle

Capacities are in gallons

We're told the ratio of these capacities is 4 to 3, meaning L/S = 4/3. Note how L goes first on top since 4 is the first number and it's larger than 3.

Cross multiply to get 3L = 4S. We can solve for S to get S = 3L/4.

----------------------------

We're also told that the larger bottle has 11 more gallons than the smaller one, so,

Larger = Smaller + 11

L = S+11

L = (3L/4) + 11 .... plug in S = 3L/4

4L = 4*(3L/4) + 4*11 ... multiply every term by 4

4L = 3L + 44 .... the fraction goes away afterward

4L-3L = 44 .... subtract 3L from both sides

L = 44

The larger bottle can hold 44 gallons

S = 3L/4

S = 3*44/4

S = 3*11

S = 33

The smaller bottle can hold 33 gallons

Note that L-S = 44-33 = 11 to show there's an 11 gallon difference between the larger and smaller bottles. We can also see that L/S = 4/3 is also true because 44/33 = 4/3. This confirms our answers.

Answer:

QSR

Step-by-step explanation:

Same letters so its the answer

Answer:

Approximately 15 tea hees

Step-by-step explanation:

Given that:

Number of teachers needed to Mark 500 exam papers in 30 hours =

Hence, marking rate of each teachers ;

500 / (30 * 10) = 500 / 300 = 1.667 papers per hour

If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;

Let number of teachers = t

(Rate * number of hours * number of teachers) = number of exam papers to be marked

(1.6667 * 25 * t) = 600

41.666665t = 600

t = 600 / 41.666665

t = 14.40000

Number of teachers needed = about 15 teachers

Answer:

118

Step-by-step explanation:

Answer:

118⁰

Step-by-step explanation:

37⁰+25⁰= 62 ⁰

180⁰-62⁰= 118⁰

30 because you ads the total remaining/

Answer:

c as 131 -180=49° is the answer

Answer:

5/13

Step-by-step explanation:

You are meant to find cos which is CAH

That means there is an adjacent and hypotenuse

So it will be 5/13

Answer:

option D is the answer

Step-by-step explanation:

3n + 5

_______

n² + 5

Answer:

Step-by-step explanation:

It pretty simple, you need to read the sentence and match the number.

Ex:

Seven more than one half = 7 more than 1/2

= 7+ 1/2

Because ‘more’ shows that you’re adding

While difference shows you’re subtracting

Quotient shows you’re dividing

And product shows you’re multiplying

And when it refers to ‘a number’ it means your variable which in this case is ‘n’.

Answer:

23.76

Step-by-step explanation:

It's easy just use y=mx+b form ok?

Answer:

5

Step-by-step explanation:

23 - 10 = 13

13 - 8 = 5

Answer:

5

Step-by-step explanation:

p = a + b + c

23 = 8 + 10 + c

23 = 18 + c

5 = c

Answer:

The total area of the figure is: 16 square units

Step-by-step explanation:

The Area is basically a measure of how much space in square units there is inside an object.

Given that each square in the grid is a unit square with an area of 1 square unit.

The figure clearly shows that there are 14 complete squares and 4 half square units.

Thus, the total area of the figure is:

(1 × 14) + (1/2 × 4)

=14 + 2

= 16 square units

Therefore, the total area of the figure is: 16 square units

Answer:6

Step-by-step explanation:

Answer:

[tex] y = 8 [/tex]

Step-by-step explanation:

Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, [tex] y - y_1 = m(x - x_1) [/tex] and also in slope-intercept form, [tex] y = mx + b [/tex].

Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in [tex] y - y_1 = m(x - x_1) [/tex].

Thus:

[tex] y - 8 = 0(x - (-2)) [/tex]

[tex] y - 8 = 0 [/tex]

Rewrite in slope-intercept form

[tex] y - 8 + 8 = 0 + 8 [/tex] (addition property of equality)

[tex] y = 8 [/tex]