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egoroff_w [7]
3 years ago
7

Sam wants to install a zip line across a ravine. One side is of the ravine is 45 feet tall while the other side is 65 feet. If t

he ravine is 21 feet wide how long must the zip line be?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0
The difference of the heights is 65-45=20 feet, and the length of the ravine is 21 feet.  By the Pythagorean Theorem, the length of the zipline is sqrt(20^2+21^2)=sqrt(841)=29.
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Please answer ASAP ❤️Will earn 15 points (hope your answers are valid )
svetoff [14.1K]

Answer:  The cost of one rose bush is $7 and the cost of one shrub is also $7

Step-by-step explanation:

The situtation can be represented by the systems of the equations.

10x + 4y  =  98   x in this case is the cost of  one rose bushes

9x + 9y =  126     y  is the cost of one shrub.  

Solve the system of equation using the elimination method.

10x +4y = 98

9x + 9y = 126     eliminate the y variable so you will have to multiply 9 on top                                          and -4 down.

9(10x +4) = (98)(9)

-4(9x + 9y) = 126(-4)

You will now have the new two systems of equations

90x +36y = 882

-36x +-36y = -504    Now add the equations

0  + 54x = 378      

        54x = 378

  x= 7

Now we know that the cost of one rose bush is 7 so we will plot it into one of the equations and solve for the cost of one shrub.

90(7) +36y=882

630 +36y = 882

-630            -630

    36y = 252

   y = 7

Check:  10(7) + 4(7)= 98

              70  + 28 = 98

             98= 98  

so one rose bush is actually 7 dollars the same as 1 shrub.

5 0
3 years ago
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T
Flauer [41]

Answer:

40

Step-by-step explanation:

Do 60 × 10.00 to get 600. Then do 800-600 to get 200. Then do 200÷5.00 to get 40.

4 0
3 years ago
A teacher shares pencils among his three students Anne, Lucy and John. Anne gets 5 times as many pencils as Lucy, and Lucy gets
Anna [14]

Answer:

step back u idiot

Step-by-step explanation:

7 0
2 years ago
Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The
Ierofanga [76]

For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

x = 3y

According to the cost we have:

3x + 7y = 6000

Substituting the first in the second equation we have:

3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375

Thus, the concert was 375 adults.

On the other hand we have:

x = 3 (375) = 1125

Thus, the concert was 1125 children.

In total they were:

375 + 1125 = 1500 people

ANswer:

The concert was 1500 people

3 0
3 years ago
The number of employees for a certain company has been decreasing each year by ​7%. If the company currently has 810 employees a
Alinara [238K]
If the rate continues, in nine years there will be about 300 employees
7 0
2 years ago
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