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IrinaK [193]
2 years ago
9

The sum of 2 numbers is 76. 1/3 of the first number plus 1/2 of the second number is 34. What are the two numbers? What is the d

ifference between the second number and first number?
Mathematics
2 answers:
riadik2000 [5.3K]2 years ago
8 0
Ok so we have 2 equations here...

x + y = 76
1/3x + 1/2y = 34

First solve for x in the 1st equation...

x + y = 76
x = 76 - y

Now substitute 76-y for x in the 2nd equation...

1/3x + 1/2y = 34
1/3(76-y) + 1/2y = 34
76/3 - 1/3y + 1/2y = 34
-1/3y + 1/2y = 34 - 76/3
-2/6y + 3/6y = 34 - 25 1/3
1/6y = 8 2/3
y = 8 2/3 ÷ 1/6
y = 8 2/3 × 6
y = 52

Now substitute 52 into the 1st equation for y

x + y = 76
x + 52 = 76
x = 76 - 52
x = 24

The 2 numbers are 24 and 52.

The difference between the numbers is
52 - 24 = 28
Tcecarenko [31]2 years ago
4 0
28 difference and the numbers are 13 and 12 121 21 212 12 55 65 545 46 54 6 5 6 6666666 777.0-0000000
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erastovalidia [21]

Well, you only listed three pieces so far.  But I can already see a
pattern emerging from those three.

Of course, the next piece might return to 1-1/2 inches.  I mean,
the pattern can't just keep on going and increasing forever or
Cody would eventually wind up with pieces that are a mile long. 
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From the first piece to the second one, and from the second one
to the third one, the increase is  5/16 inch both times.  So if the
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1-1/2, then the next piece is

             (2-1/8 + 5/16) = (2-2/16 + 5/16)  =  2-7/16 inches .
8 0
3 years ago
The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B? (−42,20) (−22,4) (−13,7) (
statuscvo [17]

Answer:

B (-22 ,  4)

Step-by-step explanation:

-16=(-10+x)/2

*2      *2

-10+x=-32

+10       +10

x=-22

6=(8+y)/2

*2      *2

12=8+y

-8    -8

4=y

so B(-22,  4)

6 0
3 years ago
Which undefined term is used to define an angle
Gre4nikov [31]

Answer:

The undefined term which is used to define an angle is line i.e., . Further explanation: In geometry the three terms which are considered to be undefined are line, point and plane.

4 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (-3,-1 ) and has a slope of 3/5
vfiekz [6]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (-3, -1) and the slope m = 3/5. Substitute:

y-(-1)=\dfrac{3}{5}(x-(-3))\\\\y+1=\dfrac{3}{5}(x+3)\qquad\text{use distributive property}\\\\y+1=\dfrac{3}{5}x+\dfrac{9}{5}\qqua\text{subtract 1 from both sides}\\\\y=\dfrac{3}{5}x+\dfrac{4}{5}\qquad\text{multiply both sides by 5}\\\\5y=3x+4\qquad\text{subtract 3x from both sides}\\\\-3x+5y=4\qquad\text{change the signs}\\\\3x-5y=-4

Answer:

point-slope form: y + 1 = 3/5(x + 3)

slope-intercept form: y = 3/5x + 4/5

standard form: 3x - 5y = -4

7 0
3 years ago
4x - Зу = -3<br> 4x + y = 17<br> Explain how as well
Jobisdone [24]

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

4x+y=17;4x−3y=−3

Step: Solve4x+y=17for y:

4x+y+−4x=17+−4x(Add -4x to both sides)

y=−4x+17

Step: Substitute−4x+17foryin4x−3y=−3:

4x−3y=−3

4x−3(−4x+17)=−3

16x−51=−3(Simplify both sides of the equation)

16x−51+51=−3+51(Add 51 to both sides)

16x=48

16/x = 48/16

(Divide both sides by 16)

x=3

Step: Substitute 3 for x in y=−4x+17:

y=−4x+17

y=(−4)(3)+17

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

6 0
2 years ago
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