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ryzh [129]
3 years ago
7

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

rists and 18 guides. On Sunday, there were 40 tourists.
How many guides were there on Sunday?
Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

There were 6 guides on Sunday.

Step-by-step explanation:

Same ratio

On Saturday, 120 tourists and 18 guides.

On Sunday, 40 tourists and x guides.

Due to the same ratio:

\frac{120}{40} = \frac{18}{x}

3 = \frac{18}{x}

3x = 18

x = \frac{18}{3}

x = 6

There were 6 guides on Sunday.

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In ΔEFG, the measure of ∠G=90°, EF = 95 feet, and FG = 26 feet. Find the measure of ∠F to the nearest degree.
Firdavs [7]

Answer:

74.4°

Step-by-step explanation:

Given

  • ∠G=90° => ΔEFG is a right triangle
  • EF = 95 feet
  • FG = 26 feet

Use sine law to find ∠F

As we know:

Sin(GEF)/ GF = Sin(EGF)/EF

<=> Sin(GEF) / 26 = Sin(90)/95

<=>Sin(GEF) / 26 = 1/95

<=> Sin(GEF)  = 26/95

<=> ∠GEF ≈ 15.8°

=> ∠F = 180° - ∠G - ∠GEF

∠F = 180° - 90° - 15.8° = 74.4°

3 0
3 years ago
Read 2 more answers
A die was rolled 75 times with the following resulted: It landed on one-18 times, two-10 times, four-11 times, five-14 times, an
RoseWind [281]

Answer: 15 Times

Step-by-step explanation: It's 15 Times because if you add all of the other rolled times together you'll get 60 and 75-60=15.

7 0
2 years ago
Can someone please help me with this problem? You need to find the value of x and y by using the strategy of ELIMINATION. Please
Setler [38]

Answer:

x = 136/35; y = -⁹/₁₀

Step-by-step explanation:

(1)         7x + 8y = 20

(2)        7x – 2y = 29       Subtract (2) from (1)

                  10y =  -9        Divide each side by 10

(3)                 y =  -⁹/₁₀     Substitute (3) into (1)

      7x - 2(-⁹/₁₀) = 29

      7x + 18/10  = 29                       Subtract 18/10 from each side

      7x              =      29 - 18/10

      7x              = (290 - 18)/10

      7x              =          272/10        Divide each side by 7

        x              =           272/70

        x              =           136/35

x = 136/35; y = -⁹/₁₀

Check:

(1) 7(136/35) + 8(-⁹/₁₀) = 20

      136/5    -   72/10 = 20

      136/5    -   36/5  = 20

                      100/5  = 20

                       20      = 20

(2) 7(136/35) – 2(-⁹/₁₀)  = 29

       136/5    +    18/10 = 29

       136/5    +      ⁹/₅    = 29

                        145/5  = 29

                        29       = 29

5 0
3 years ago
Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve
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A conservative vector field \mathbf f has curl \nabla\times\mathbf f=\mathbf0. In this case,

\nabla\times\mathbf f=12xy^2z(1-z)\,\mathbf j+4yz^2(2z-3x)\,\mathbf k\neq\mathbf 0

so the vector field is not conservative.
3 0
3 years ago
Nathan needs to order some new supplies for the restaurant where he works. The restaurant needs at least 571 forks. There are cu
Step2247 [10]

Answer:

The inequality representing  s, the number of sets of forks Nathan should buy is

s ≥ 21

Step-by-step explanation:

From the question, the restaurant needs at least 571 forks, i.e., if n represents the number of forks the restaurant needs, then

n ≥ 571

Also from the question, there are currently 361 forks. If y represents the number of forks the restaurant needs to buy, then

y ≥ 571 - 361

y ≥ 210

Also, each set on sale contains 10 forks. if s represents the number of sets of forks Nathan should buy, then

s ≥ 210/10

s ≥ 21

Hence, the inequality representing  s, the number of sets of forks Nathan should buy is

s ≥ 21

3 0
3 years ago
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