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Fynjy0 [20]
3 years ago
6

Solve for p. 80 + 10 = 5p - 8

Mathematics
2 answers:
Alexxandr [17]3 years ago
7 0

Answer:

80+10=5p-8

\mathrm{Switch\:sides}

5p-8=80+10

\mathrm{Add\:the\:numbers:}\:80+10=90

5p-8=90

\mathrm{Add\:}8\mathrm{\:to\:both\:sides}

5p-8+8=90+8

\mathrm{Simplify}

5p=98

\mathrm{Divide\:both\:sides\:by\:}5

\frac{5p}{5}=\frac{98}{5}

\mathrm{Simplify}

p=\frac{98}{5}

Hope it helps. Please mark me as brainliest :) ;) ^-^

Step-by-step explanation:

garik1379 [7]3 years ago
6 0

\huge\text{Hey there!}

\large\textsf{80 + 10 = 5p - 8}

\large\textsf{90 = 5p - 8}

\large\textsf{5p - 8 = 90}

\large\text{ADD 8 to BOTH SIDES}

\large\textsf{5p - 8 + 8 = 90 + 8}

\large\text{CANCEL out: -8 + 8 because gives you 0}\\\\\large\text{KEEP: 90 + 8 because helps solve for the p-value}

\large\textsf{90 + 8 = \bf 98}

\large\text{New EQUATION: \textsf{5p = 98}}

\large\text{DIVIDE 5 to BOTH SIDES}

\large\boxed{\mathsf{\dfrac{5p}{5} = \dfrac{98}{5}}}

\large\text{Cancel out: }\rm{\dfrac{5}{5}}\large\text{ because that gives you 1}\\\\\large\text{KEEP: }\rm{\dfrac{98}{5}}\large\text{ because it gives you the value of p or the answer of p}

\large\text{SIMPLIFY ABOVE  AND YOU HAVE YOUR ANSWER OF P}

\huge\boxed{\rm{Therefore, your\ answer: p = \dfrac{98}{5}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

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The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh
postnew [5]

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

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<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

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<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0
2 years ago
Will give brainliest to first answer+20pts
antiseptic1488 [7]

Answer:

105

Step-by-step explanation:

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180 - 30 - 75 = 75

Then find x:

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5 0
3 years ago
Work out the co ordinates of the midpoint of (-2,-1) and (-2,4)
s2008m [1.1K]

Answer:

(-2,\frac{3}{2})

Step-by-step explanation:

To find the midpoint, simply use the Midpoint Formula.

The Midpoint Formula states that for two points (x_1,y_1) and (x_2,y_2), the midpoint will be: (\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} ).

So, here, (x_1,y_1) = (-2, -1) and (x_2,y_2) = (-2, 4). The midpoint is then: (\frac{-2+(-2)}{2} ,\frac{-1+4}{2} )=(\frac{-4}{2} ,\frac{3}{2} )=(-2,\frac{3}{2})

Thus, the answer is (-2,\frac{3}{2}).

Hope this helps!

4 0
3 years ago
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