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nignag [31]
4 years ago
5

An equation is shown below:

Mathematics
2 answers:
IrinaK [193]4 years ago
7 0
5(2x - 8) + 15 = -15
               -15      -15     subtract 15 from each side
5(2x - 8) = -30
  ÷5             ÷5             divide both sides by 5
2x - 8 = -6
     +8    +8                   add 8 to each side
2x=2
÷2  ÷2                          divide both sides by 3
x = 1

Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15             Correct! x=1
vivado [14]4 years ago
4 0
5(2x-8) + 15 = -15

Distribute the 5 into (2x-8) :
10x - 40 + 15 = -15

Add -25 and 15 :
10x - 25 = -15

Add 10 to both sides:
10x = -15 + 25
10x = 10

Divide both sides by 10 :
x = 10/10
x = 1
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No, not every rectangles are rhombuses

Step-by-step explanation:

Rhombus has all its sides equal, but all its angles are not equal. However, opposite angles are equal.

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In a triathlon, Jenny swam for 1 hour, biked for 1.75 hours, and ran for 1 hour. Her average biking speed was 2 times her averag
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Answer:

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Step-by-step explanation:

Some values you know (given or calculated) and some things you do not know.

             RATE         TIME         DISTANCE

BIKE          2*8r         1.75

RUN           8r

SWIM           r            1

Total                                     55

Give a variable to unknown running speed and fill in everything.

             RATE         TIME         DISTANCE

BIKE          16r         1.75           28r        

RUN           8r            t            8rt

SWIM           r            1             r

Total                                     55

Notice some trouble? WHY? I missed seeing the "ran for one hour". the variable t is KNOWN! This will be corrected here:

             RATE         TIME         DISTANCE

BIKE          16r         1.75           28r        

RUN           8r            1            8r

SWIM           r            1             r

Total                                     55

Calculations used to fill out the graph:

Then her running speed was 8r,

and her biking speed was 2*(8r) = 16r.

Swimming for 1    hour, Jenny covered the distance of 1*r = r kilometers.

Biking   for 1.75 hour, Jenny covered the distance of 1.75*16r = 28r kilometers.

Running  for 1    hour, Jenny covered the distance of 1*2r = 8r kilometers.

Everything is filled and looks good. There is a sum of distances in just the one single variable, r.

Solve for r, and this is the swimming speed.

28r + 8r + r = 55

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2 years ago
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