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kicyunya [14]
3 years ago
15

The City Sights tour company had the same ratio of tourists to guide on both days this weekend.On Saturday,there were 120 touris

ts and 18 guides.On Sunday,there were 40 tourists.How many guides were there on Sunday?
Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer: There were 6 guides on Sunday.

Step-by-step explanation:

I suppose that this is a question about equivalent ratios:

It is said that the company had the same ratio of tourists to guides on Saturday and Sunday.

RATIO OF TOURISTS TO GUIDES:

SATURDAY: 120 : 18

SUNDAY: 40 : ?

Divide 120 by 40:

120/40 = 3

Divide 18 by 3:

18/3 = 6

Therefore:

SAT: 120 : 18

SUN: 40 : 6

Check it by multiplying both numbers in the ratio 40 : 6 by 3:

40 • 3 : 6 • 3

= 120 : 18

(You get the ratio from Saturday)

Hope this helps!

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Please help!!! I'm super confused with this one, show work so that I can figure out what I did wrong.
givi [52]

Answer: The length of CU is 117 units.


Step-by-step explanation:

Given: ΔWCD≈ΔWUV

We know that if two triangles are similar, then their corresponding sides are proportional.

∴ \frac{WU}{WC}=\frac{WV}{WD}

\frac{36x-1}{26}=\frac{110}{20}\\\Rightarrow\ 36x-1=\frac{11}{2}\times26\\\Rightarrow36x-1=143\\\Rightarrow\ 36x=143+1\\\Rightarrow\ 36x=144\\\Rightarrow\ x=4

∴ WU=36(4)-1=143

Also , WU=WC+CU

⇒CU=WU-WC

⇒CU=143-26=117 units

5 0
3 years ago
Solve<br> 13^x+2=5<br> having a bit of trouble
-Dominant- [34]
<em>Solve: </em>13^{x} + 2 = 5

Start by isolating the x-variable as much as you can:
13^{x} = 5 - 2 = 3
13^{x} = 3

Now, if we take the log with base 13 of both sides, then the left hand side will cancel out really easily. This is based on the concept of inverse operations. For example, when we take the square of a square root, we get our initial value. This is because the two operations are inverses of each other, and basically undoes each other.

Logarithms and exponentials are the inverse operations of each other. If we want to extrapolate the power of an exponential, we take the logarithmic function of it, and vice versa.

In this case, we are saying what power of '13' will produce us with 13ˣ, and the only answer will be x itself.

log_{13}(13^{x}) = log_{13}(3)
x = log_{13}(3)
3 0
3 years ago
4x2 minus 20+48 factorise this polynomial completely
bulgar [2K]

Answer:

36

Step-by-step explanation:

With no parenthesis

7 0
3 years ago
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erik [133]
Answer : No solutions

(I tried making it as detailed as possible, I apologize if you don’t understand it)

5 0
3 years ago
Show that 8/15 plus 3/10 equals 5/6​
mariarad [96]

Step-by-step explanation:

find the Lcm of 15 and 10 which is 30

multiply the 2fractions by the LCM

8/15*30=16

3/10*30=9

add the products and put them all over the Lcm

(16+9)/30

=25/30 which is equivalent to 5/6 when you divide both the numerator and the denominator by 5

4 0
2 years ago
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