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LUCKY_DIMON [66]
3 years ago
12

yanira is 3 years older than tim and twice as old as hannah. tim is 2 years older than hannah. how old are yanira, tim, and hann

ah
Mathematics
1 answer:
tekilochka [14]3 years ago
3 0
Yanira = Y

Tim = T

Hannah = H

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

Therefore:

Y=T+3

Y=2H

T=H+2

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

Now, we know that:

Y=T+3

But we also know that:

T=H+2

Therefore:

Y=(H+2)+3

Y=H+5

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

Now we can combine the equations:

Y=H+5 

Y=2H

Therefore:

2H=H+5

2H-H=5

So, H=5.

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

If H=5,

Y=2H=2*5=10

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

If H=5,

T=H+2=5+2=7

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

Answers:

Yanira is 10 years old.

Tim is 7 years old.

Hannah is 5 years old.
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Hatshy [7]

Answer:

y=\frac{1}{3} x -14

Step-by-step explanation:

The equation of the line you will find should be in the form y =mx+c , where m is the gradient and c is the y intercept.

The gradient of a line that is perpendicular to a line [of a known gradient] is the negative reciprocal of the gradient of the first. i.e. if a is the known gradient and the perpendicular gradient is b, ab = -1. Therefore the -3b=-1 and b= 1/3

you can now write y = mx +c as y = 1/3x +c

As you have been given a coordinate, you can input these values into y= 1/3x + c

-12 = 1/3(6) +c

-12 - 2 = c

c = -14

hence the equation of the line is y= 1/3x -14

5 0
3 years ago
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
Orlov [11]

Answer:

(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35

The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.

Step-by-step explanation:

Product means multiplication

Product of 2x - 5 and 3x^2 + 5x - 7

(2x - 5 ) (3x^2 + 5x - 7)

= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35

Collect like terms

= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35

= 6x^3 - 5x^2 - 39x - 35

Product of 5x - 2 and 3x^2 + 5x - 7

(5x - 2) (3x^2 + 5x - 7)

= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14

Collect like terms

= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14

= 15x^3 + 19x^2 - 45x + 14

The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.

They both consist of different variables in their multiplier

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3 years ago
Lines a and b are perpendicular. The equation of line a is y=1/3x+3. What is the equation of line b
kykrilka [37]
Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4
6 0
3 years ago
A store is having a sale on trail mix and jelly beans. For 6 pounds of trail mix and 5 pounds of jelly beans, the total cost is
-Dominant- [34]
6t + 5j= 34
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jelly beans= 3.5 and trail mix = 2.75
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A group of band instructors answered a survey about hours of rehearsal per week and number of competitions won. The graph shows
IRISSAK [1]

Answer: B. 31

Step-by-step explanation:

This linear regression was constructed by relating the hours practiced per week and the number of competitions won.

Going by this graph, the number of competitions they can expect to win at 5 practices a week is 31.

This is derived by looking for the point where 5 competitions on the x-axis intersects with the line. This point is at 31 competitions on the y axis which would make it the answer.

5 0
3 years ago
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