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cupoosta [38]
3 years ago
8

-52 times the difference between a number and 14 is equal to the number plus 3

Mathematics
1 answer:
xenn [34]3 years ago
3 0
X=number looked for
we have this equation:
-52(x-14)=x+3
we solve this equation:
-52x+728=x+3
-52x-x=3-728
-53x=-725
x=-725/-53=725/53 ≈13,68

Solution: 725/53

To check:
the difference between 725/53 and 14=725/53  - 14=(725-742)/53=-17/53
-52 times the diference is= -52(-17/53)=884/53
The number plus 3=725/53 + 3=(725+159)/53=884/53
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Any suggestions or answers
garik1379 [7]
Subtract 2 from both sides to isolate the x
Then divide both sides by 3 getting the equation...
5/3y - 2/3
Take out 1/3 and put it in front as if you were reverse distributing.
So x = 1/3(5y-2)
3 0
3 years ago
Read 2 more answers
What is the equation of the perpendicular bisector of the segment joining points A(1, 1) and B(5, 7)?
Elden [556K]
Bisector must pass through the mid-point, so we have to find out that mid-point of the segment:

mid point = x₁+x₂ / 2 , y₁+y₂/2
= 1 + 5 / 2 , 1 + 7 / 2
= 6/2 , 8/2
= (3, 4)

Slope of given segment = m = y₂-y₁ / x₂- x₁
m = 7-1 / 5-1
m = 6/4
m = 3/2

Now, segment which is perpendicular, will have the opposite & reciprocal slope, So, it would be: -2/3

We know, y - y₁ = m(x - x₁)
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6

In short, Your Final Answer would be: y = -2/3x + 6

Hope this helps!
8 0
3 years ago
I NEED THIS ASAP PLEASE
ella [17]

Answer:

Step-by-step explanation:

This is modeled after an exponential function which, at its simplest, is

y=a(b)^x where, for us and in this particular situation, y is the final height, a is the initial height, b is the rate of growth or decline, and x is the number of bounces. We know the initial height is 20, but we need to find the rate of decline. Rewriting the formula to model a rate of decay or decline is

y=a(1-r)^x, or more closely related to our circumstances:

H=20(1-.8)^n and simplifying that a bit:

H=20(.2)^n, choice D.

5 0
3 years ago
What is the rate of return when 35 shares of Stock A, purchased for $20/share, are sold for $815? The commission on the sale is
wariber [46]

Cost price:-

\\ \sf\longmapsto 35\times 20

\\ \sf\longmapsto 700

  • Commision=$6
  • Total sold price=815+6=823$

Now

Return=823-700=123

Rate of return

\\ \sf\longmapsto \dfrac{123}{700}\times 100

\\ \sf\longmapsto \dfrac{123}{7}

\\ \sf\longmapsto 17.5\%

7 0
2 years ago
Read 2 more answers
A recipe requires 5/6 of a cup of sugar. If mrs.Marina is going to make one half of the recipe, how much sugar does she need
NemiM [27]

Answer:

Half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.

Step-by-step explanation:

As given

A\ recipe\ requires\ \frac{5}{6}\ of\ a\ cup\ of\ sugar.

i.e

\frac{5}{6}\ cup\ of\ sugar = 1\ recipe

As the  mrs.Marina is going to make one half of the recipe .

Thus\ multiply\ above\ by\ \frac{1}{2}.

We get

\frac{5\times 1}{6\times 2}\ cup\ of\ sugar = \frac{1}{2}\ recipe

solving the above

\frac{5}{12}\ cup\ of\ sugar = \frac{1}{2}\ recipe

Therefore\ half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.



7 0
3 years ago
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