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GenaCL600 [577]
3 years ago
10

0.5x + 4 + 0.9x = x + 5

Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0

Answer:

x=2.5

Step-by-step explanation:

kozerog [31]3 years ago
5 0

Answer:

0.5x + 4 + 0.9x = x + 5

collect like terms together:

0.5x + 0.9x - x = 5 - 4 \\ x(0.5 + 0.9 - 1) = 1 \\ 0.4x = 1 \\ x =  \frac{1}{0.4}  \\  \\ { \boxed{ \boxed{x = 2.5}}}

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Lexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Le
Tomtit [17]

9514 1404 393

Answer:

  (a)  ❘-270 - 30❘

Step-by-step explanation:

One score is -270 and the other is +30. The difference is either of ...

  |30 -(-270)|

or

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4 0
3 years ago
Three consecutive odd integers have a sum of 27. Find the integers.
jek_recluse [69]

\sf \bf {\boxed {\mathbb {GIVEN:}}}

Sum of three consecutive odd integers = 27

\sf \bf {\boxed {\mathbb {TO\:FIND:}}}

The values of the three integers.

\sf \bf {\boxed {\mathbb {SOLUTION:}}}

\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

Let us assume the three consecutive odd integers to be x, (x+2) and (x+4).

As per the condition, we have

Sum \:  \:  of \:  \:  the  \:  \: three \:  \:  consecutive \:  \:  odd \:  \:  integers  = 27

➺ \: x + (x + 2) + (x + 4) = 27

➺ \: x + x + 2 + x + 4 = 27

Now, collect the like terms.

➺ \: (x + x + x) + (2 + 4) = 27

➺ \: 3x + 6 = 27

➺ \: 3x = 27 - 6

➺ \: 3x = 21

➺ \: x =  \frac{21}{3} \\

➺ \: x = 7

Therefore, the three consecutive odd integers whose sum is 27 are \boxed{  7  }, \boxed{ 9   } and \boxed{ 11   } respectively.

\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}

⇢ 7 + 9 + 11 = 27

⇢ 27 = 27

⇢ L. H. S. = R. H. S.

\sf\blue{Hence\:verified.}

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

4 0
3 years ago
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Elenna [48]

Answer:

The total money will be $113750(I think)

Just check other's answers.(or use a calculator.)

7 0
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