Grace jump 66 times a minute. Zoe jumps 56 times a minute. They both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump

Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Step-by-step explanation:

Let Grace jumped for x minutes and Zoe jumped for y minutes

Grace jump no. of times in 1 minute = 66

Grace jump no. of times in x minutes = 66x

Zoe jump no. of times in 1 minute = 56

Zoe jump no. of times in x minutes = 56x

We are given that Their jumps today and together they jump 1266 times in the total of 21 minutes

So, x+y=21  1

66x+56y=1266  ---2

Substitute the value of x from 1 in 2

66(21-y)+56y=1266

y=12

x+y=21

x+12=21

x=21-12

x=9

Hence Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Step-by-step explanation:

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: