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Lunna [17]
3 years ago
9

Kieran and Ariana are biking on a trail. Kieren begins 8 miles ahead of Ariana and bikes at an average speed of 4 miles per hour

. Ariana bikes at an average speed of 6 miles per hour. Which point represents when Ariana catches up with Kieren on the trail?
Mathematics
2 answers:
Bingel [31]3 years ago
6 0

Answer:

thank u it was correct



Step-by-step explanation:


Fittoniya [83]3 years ago
3 0

I'm so sorry if this was confusing for you but just saying the answer clearly is (4,24)


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Show that <br><br> 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16
anygoal [31]

Step-by-step explanation:

4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37

R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}

4 0
2 years ago
The probability that…. The student is not female or received a degree outside of the field
a_sh-v [17]

Answer:  0.8953 (approximate)

The more accurate value is 0.89528093209023; however, it's not entirely exact either. Round that however you need.

===========================================================

Explanation:

There are 774,517 males and 1,400,843 people who got their degree outside of the field. Add those values

774,517+1,400,843 = 2,175,360

This unfortunately double counts the number of males who got their degree outside of the field (576,228) so we need to subtract that count off

2,175,360 - 576,228 = 1,599,132

------------------------

There are 1,599,132 people who are either

  • A) male
  • B) got their degree outside the field, or,
  • C) both male and got their degree outside the field

This is out of 1,786,179 people total.

We'll divide these two values to get the final answer

(1,599,132)/(1,786,179) = 0.89528093209023

It's not clear how your teacher wants you to round this. If you round it to say 4 decimal places, then you'd get approximately 0.8953

The chances of the student not being a female or receiving their degree outside the field is roughly 89.53%

8 0
2 years ago
Find the standard deviation for the following data (20, 30, 38, 40)
Pepsi [2]
C) 7. 133 I believe.....
5 0
3 years ago
The ratio of two numbers is 6 : 8. The sum of the numbers is 28. What are the two numbers?
Otrada [13]

Answer:

12 and 16 or 12:16

6 x 2 = 12

8 x 2 =16

12 + 16 = 28

Step-by-step explanation:

5 0
2 years ago
Jane, Scott, and Frank have a total of $144 in their wallets. Frank has 4 times what Jane has. Scott has $6 less than Jane. How
konstantin123 [22]

Answer:

Jane have $25

Frank have $100

Scott have $19

Step-by-step explanation:

To find the amount that each have, we have to represent this information in a mathematical format  and then solve

let x represent represent the amount that Jane has

let Y represent represent the amount that Frank has

let z represent represent the amount that Scott has

From the question given, "Jane, Scott, and Frank have a total of $144"  can be represented mathematically as

x + y + z = $144 ---------------------------------------------------------------------------------(1)

"Frank has 4 times what Jane has"   can be represented mathematically as

y = 4x ---------------------------------------------------------------------------------------------(2)

"Scott has $6 less than Jane"  can be represented mathematically as

z= x- 6 ----------------------------------------------------------------------------------------------(3)

we can now solve the equations using the substitution method

substitute equation (2)  and (3)  into equation (1)

x + y + z = $144

x + 4x + x-6 = $144

6x -6 = $144

add 6 to both-side of the equation

6x - 6 + 6 = $144 + 6

6x =$150

Divide both-side of the equation by 6

6x/6 = 150/6

x = $25

from equation 2

y = 4x

substitute x= $25 in equation (2)

y = 4 (25)

y = $100

substitute x=$25 in equation  (3)

z = x- 6

z = 25 - 6

z=$19

Jane have $25

Frank have $100

Scott have $19

6 0
2 years ago
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