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mote1985 [20]
3 years ago
7

5c) The scale of a map says that 4 cm represents 5 km. What is the actual

Mathematics
1 answer:
Maslowich3 years ago
5 0

● Answer:

6.25 km

● Step-by-step explanation:

Hi there !

4 cm ........... 5 km

5 cm ........... x km

x = 5cm×5km/4cm

= 25km/4

= 6.25 km

Good luck !

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Emanuel has 745 pictures in his phone.His memory is getting full, so he starts deleting 20 pictures every day. Define each varia
BigorU [14]
Let f be the function with variable n, which gives the number of pictures left in the phone after deleting pictures for n-days.

So f(1) gives the number of photos left after 1 day of deleting photos

     f(2) gives the number of photos left after 2 days of deleting photos

     and so on.

f(1)=745-20
f(2)=745-20-20=745-20*2
f(3)=745-20-20-20=745-20*3

so clearly f(n)=745-20n

Answer:

the algebraic expression is f(n)=745-20n, 

where n is the n'th day of deleting photos, and f is the number of photos left after n days of deleting.
7 0
3 years ago
a carpet layer can put down 400 square feet of carpeting in 2.5 hours. How many hours will it take him to lay 600 square feet of
N76 [4]
You can set it up like:

400/2.5 = 600/x; now cross multiply
400x = 2.5(600)
400x = 1,500; now divide both sides by 400 to isolate the x, and you get x = 3.75 hours
3 0
3 years ago
Johan takes out a 20-year mortgage at 4% to buy a house. When he looks at investing in 20-year, fixed-rate Treasuries, which of
Vsevolod [243]
Given that Johan takes-out a 20 year mortgage at 4% to buy a house. If he looks at investing in 20-year, fixed rate Treasuries, the most likely closest to the coupons of the treasuries is 3.8%, this is because any other rates apart from this will lead to an arbitrage opportunity. This means that if the percentage of the coupons are high, Johan may invest his proceeds from mortgage to treasuries and earn risk free interest. The right rate is 3.9%
6 0
3 years ago
Read 2 more answers
Given (x – 7)^2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
ElenaW [278]

Answer:

We know the square root of 36 is 6.

As a result, the total value inside the bracket should give us 6.

Thus, 13 - 7 does gives us 6.

So, x = 13

Or

(x – 7)^2 = 36,

Square root both sides to get rid of the square symbol

Now:

(x - 7) = 6

+7 both sides

x= 13

Hope this helps!

7 0
2 years ago
If the area of a sector is 100 ft^2 and the radius of the circle is 22 ft what is the central angle measure for that sector and
ahrayia [7]

Answer:

\displaystyle \theta=0.413\ rad

<em>L= 9.086 feet</em>

Step-by-step explanation:

<u>Area of a Circular Sector</u>

Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by

\displaystyle A=\frac{1}{2}r^2\theta

And the length of the arc is:

L=\theta r

We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:

\displaystyle 100=\frac{1}{2}r^2\theta

Solving for θ:

\displaystyle \theta=\frac{200}{r^2}

\displaystyle \theta=\frac{200}{22^2}

\displaystyle \theta=0.413\ rad

The arc length is:

L=0.413* 22

L= 9.086 feet

6 0
3 years ago
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