Katherine is three times older than Joel now. In twenty years Katherine will be six years older than Joel. How old is Katherine now?

Answers

Answer 1

Answer: She is currently 9 years old.

If Katherine is 9, and Joel is 3, 20 years later they'll be 29 and 23. Katherine is 6 years older than him.

Answer 2

Answer: k = 3*j;
k + 20 = 6 + (j + 20) => k = 6 + j; but k =3*j => 3*j = 6 + j => j = 3( Joel has 3 years) and k = 9 (Katherine has 9 years);

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The diagram shows a triangle.
76
P+49
P+13
What is the value of p?

Answers

What’s the 76 for is it part of that triangle also is p the missing angle ? I can help you but give me more details

Answer:

Step-by-step explanation:

76p+49p+13

=(76-49)p+13 [ plus (+) plus = minus(-) ]

=27p+13

=40p or p=40 ans

HELP ASAP SIMPLE QUESTION!! WILL MARK BRAINLIEST!!

Answers

The average of the numbers would not change

Answer:

Did not change.

Step-by-step explanation:

This is because the average is based off the total sum of all the constituents. Thus adding 10 and subtracting 10 doesn't change anything.

| 5x - 1 | < 1
___ < x < 2/5

Answers

Hello,

1) if 5x-1>0 then |5x-1|=5x-1
==> |5x-1|<1==>5x-1<1==>5x<2==>x<2/5

2) if 5x-1<0 then |5x-1|=-5x+1
==>|5x-1|<1==>-5x+1<1==>-5x<0==>x>0

0<x<2/5

Mark cycled 25 miles at a rate of 10 minutes per hour. How long dis it take Mark to cycle 25 miles

Answers

Answer:

2.5 hours.

Step-by-step explanation:

We have been given that Mark cycled 25 miles at a rate of 10 miles per hour.

To find how many hours Mark took to cycle 25 miles we will divide 25 by 10.

$\text{Time taken by Mark to cycle 25 miles}= \frac{25\text{ miles}}{10(miles)/(hour)}$

$\text{Time taken by Mark to cycle 25 miles}=\frac{25\text{ miles}}{10}* \frac{\text{hour}}{\text{miles}}$

Upon cancelling out miles from numerator and denominator we will get,

$\text{Time taken by Mark to cycle 25 miles}=(25)/(10) \text{ hour}$

$\text{Time taken by Mark to cycle 25 miles}=2.5\text{ hour}$

Therefore, Mike will take 2.5 hours to cycle 25 miles.

∠1 and ∠2 form a linear pair. If m∠1 = 5x + 9 and m∠2 = 3x + 11, find the measures of both angles.

Answers

Answer:

∠1 =109

∠2= 71

Step-by-step explanation:

if they are a linear pair that means they must both (when added together) equal 180 degrees, so this means we can add them and set them equal to 180!

8x+20=180

8x=160

x=20

then we just input them!

m∠1 = 5(20) + 9 = 109

m∠2 = 3(20) + 11 = 71

What is the intersection point of 2x+19y=3 and 1x-3=7y

Answers

$2x+19y=3\n19y=-2x+3\ny=-(2)/(19)x+(3)/(19)\n\nx-3=7y\ny=(1)/(7)x-(3)/(7)\n\n-(2)/(19)x+(3)/(19)=(1)/(7)x-(3)/(7)\n-(14)/(133)x+(21)/(133)=(19)/(133)x-(57)/(133)\n(78)/(133)=(33)/(133)x\n(78)/(33)=x\nx=(26)/(11)\n\n((26)/(11))-3=7y\n((26)/(11))-(33)/(11)=7y\n(-7)/(11)=7y\n-11=y$

(26/11, -11)

2x + 19y = 3 ⇒ 2x + 19y = 3 ⇒ 2x + 19y = 3
1x - 3 = 7y    ⇒ 1x -   7y = 3 ⇒ 2x + 14y = 6
      5y = -3
   5     5
   y = -3/5
      2x + 19(-3/5) = 3
   2x - 11 2/5 = 3
      +11 2/5 +11 2/5
   2x = 14 2/5
      2 2
       x = 7 1/5
   (x, y) = (7 1/5, -3/5)

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