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dem82 [27]
3 years ago
5

One number to three times another number is 24. Five times the first number added to three times the other number is 36. Find th

e numbers.
Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Let x equal the one number.

Let y equal the other number.

x + 3y = 24

5x +3y = 36

Subtract the first equation from the second equation.

4x = 12

x = 3

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In the figure, GK bisects FGH
bija089 [108]

Answer:

w = 7

Step-by-step explanation:

Given:

m<FGK = (7w + 3)°

m<FGH = 104°

angle bisector of <FGH = GK

Required:

Value of w

SOLUTION:

Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:

m<FGH = 2*m<FGK

104 = 2*(7w + 3) (substitution)

Divide both sides by 2

\frac{104}{2} = \frac{2*(7w + 3)}{2}

52 = 7w + 3

Subtract 3 from each side

52 - 3 = 7w + 3 - 3

49 = 7w

Divide both sides by 7

\frac{49}{7} = \frac{7w}{7}

7 = w

w = 7

8 0
3 years ago
Peter wants to buy the same number of hats for 3 of his friends. He has $57 dollars,and each hats cost $5. What is the largest n
ANTONII [103]
Zachary White is the most important person on earth
3 0
3 years ago
What does 4×0.2=? equal 15 POINTS
zlopas [31]
<span>What does 4×0.2 = ?
</span>
The answer is 0.8
6 0
3 years ago
Read 2 more answers
Explain why the X coordinates of the points where the graphs of the equations y=2^-x and y=4^x+3 intersects
sveta [45]
Hello,

y=2^(-x)
y=2^(2x)+3

==>2^(2x)+3=1/2^x
==>2^(3x)+3*2^x-1=0 (1)
Let's assume u=2^x
(1)==>u^3+3*u-1=0

which as 3 roots
u=0.322185354626 or
u = -0.161092677313 + i1.754380959784 or
u = -0.161092677313 - i1.754380959784.

Let's take the real solution

 0.322185354626=2^x
==>x=ln(0.322185354626) / ln(2)
 x=-1,6340371790199...

an other way is
f(x)=2^(3x)+3*2^x-1
f(-2)=1/64+3/4-1=-15/64 <0
f(-1)=1/8+1-1=1/8>0
==> there is a solution betheen -2<x<-1










6 0
3 years ago
At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store? 2:
Mazyrski [523]

Answer:

3 to 2

Hope it helps xD

3 0
3 years ago
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