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4 years ago

How many solutions can be found for the equation 4z + 2(z - 4) = 3z + 11

Mathematics

2 answers:

Novosadov [1.4K]4 years ago

5 0

Answer:

one

Step-by-step explanation:

i just took the test

Gnom [1K]4 years ago

4 0

4z+2(z-4)=3z+11 perform indicated multiplication on left side

4z+2z-8=3z+11 combine like terms on left side

6z/-8=3z+11 add 8 to both sides

6z=3z+19 subtract 3z from both sides

3z=19 divide both sides by 3

z=19/3

z=6 1/3

So there is only one solution when z=6 1/3

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In ΔSTU, m∠S=(11x+3)∘,∠T=(2x+16)∘, and m∠U=(x+7)∘. Find .

frozen [14]

Answer:

x = 11

Step-by-step explanation:

In ΔSTU ,

m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°

According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.

So,

$11x + 3 + 2x + 16 + x + 7 = 180$

$= > 14x + 26 = 180$

$= > 14x = 180 - 26 = 154$

$= > x = \frac{154}{14} = 11$

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3 years ago

PLEASE HELP!!!! Kelly earns 20% more than Scott, and together they earn $1210.00 per week. How much does Kelly earn per week?

wolverine [178]

Answer:

20/100x1210

2x121

=242

Kelly earns

242+1210

=$1452

3 0

4 years ago

Wht is 84 is 74% of what number

Elina [12.6K]

'is' in mathematics means equal
'of' in mathematics means multiplication

percent means over 100

84 = 74% * x

84 = 74/100 * x

84 = 37/50 * x

Multiply 50/37 on both sides, so we can isolate 'x'

85 * 50/37 = x

x = 4250/37

x ≈ 114.864865

84 is 74 percent of <span>114.86</span>.

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3 years ago

Is 69/100 and 6/10 equivalent fractions

zubka84 [21]

No. If you divide 69 by 100 you would get 0.69. If you divided 6 by 10 you would get 0.6. Therefore 69/100 and 6/10 is not equivalent.

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3 years ago

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vlabodo [156]

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3 years ago