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maksim [4K]
3 years ago
10

the larger of two number is nine more than four times the smaller number. the sum of the two numbers is fifty-nine. find the two

numbeers
Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0
This is solved by setting up two equations and then using one to answer the other.
The first step (use what is given to set up the two separate equations)
We are looking for two numbers, let us call them X and Y. 
We are told that X + Y = 59
 We are also told that (9 more than) 9+ (4times the smaller number) 4Y is the bigger number X
Then we combine that into 9+4Y=X
so we now have two separate equations and we can use one to solve the other. Everywhere we have X in the first equation, we will fill in with the second equation
(9+4Y) +Y = 59    [then combine like terms]
9+5Y=59            [subtract 9 from both sides]
5Y=50                   [divide both sides by 5 to isolate the Y]
Y=10                      [now plug this into either equation to solve for X]
9+4(10)=X
9+40=X
<u><em>49=X and 10=Y</em></u>
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Mr. Gallagher's science class goes bird watching. The picture graph below shows the number of birds the class observes. A) How m
Liono4ka [1.6K]
A)
Monday and Tuesday: 8*6=48
Thursday and Friday: 10*6=60
60-48=12
The answer is 12 more

B)
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4 0
3 years ago
How does the area of the triangle relate to the area of the square? Please Explain!!! I really don't get it!
kolbaska11 [484]
A square has 4 right angles and 4 equal sides.
If you draw a diagonal through the square then you get two right triangles. So the area relation between a square and a right triangle is going to be half. The area of the triangle is half the area of the square. 

Also the formula for area of a square is length times width.
And the formula for the area of a right triangle is 0.5 times length times width.

So if you set up the equation (let's use * as multiplication symbol ): 

Area of a Square : Area of a Right Triangle
length * width : 0.5 * length * width
(Divide by length * width on both sides)
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4 0
3 years ago
Evaluate 32 + (5 − 2) ⋅ 4 − 6 over 3
kirill115 [55]

32 + (5 − 2) ⋅ 4 − 6 over 3

=32 + 3 ⋅ 4 − 6/3

=32 + 12− 2

=44 - 2

= 42


8 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST
krek1111 [17]

Answer: +42x

Step-by-step explanation:

The student only multiplied each term individually.

He should have (7x+3)² = (7x+3)(7x+3)

Which is 49x²+42x+9

Therefore the error is (42x) or the failure to apply the law of multiplication of variables in a bracket.

8 0
3 years ago
Help me please like plase
Vinil7 [7]

Answer:

Adjacent angles.

Step-by-step explanation:

a and b are next to each other on a straight line.

6 0
2 years ago
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