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3 years ago

5 / 4 x + 3 = x - 1 / 4

Mathematics

1 answer:

tiny-mole [99]3 years ago

6 0

5/4x+3 = x-1/4
5/4x-x = -1/4-3
1/4x = -13/4
x = -13/4.4
x = - 13

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Mr. Smith wants to figure out which fast food restaurant is the most popular

hichkok12 [17]

I believe it is biased

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3 years ago

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

almond37 [142]

Answer:

First angle = 30°

Second angle = 60°

Third angle = 90°

Step-by-step explanation:

x + y + z = 180

y + z = 5x

z = y + 30

then:

y + (y+30) = 5x

2y + 30 = 5x

x = (2y+30)/5

then:

x + y + z = 180

{(2y+30)/5} + y + y+30 = 180

{(2y+30)/5} + 2y + 30 = 180

{(2y+30)/5} = 180 - 30 - 2y

{(2y+30)/5} = 150 - 2y

2y+30 = 5(150-2y)

2y+30 = 5*150 + 5*-2y

2y+30 = 750 - 10y

2y + 10y = 750 - 30

12y = 720

y = 720/12

y = 60°

x = (2y+30)/5

x = (2*60 + 30)/5

x = (120+30)/5

x = 150/5

x = 30°

z = y + 30

z = 60 + 30

z = 90°

Check:

x + y + z = 180°

30° + 60° + 90° = 180°

7 0

3 years ago

Simora [160]

M >= 85. The >= sign means greater than or equal to.

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2 years ago

Annette is surveying people in the city about a new shopping mall. She found out that 180 people, or 37.5% of people do not want

Leokris [45]

Answer:

480 people

Step-by-step explanation:

Set up an equation where x is the number of people surveyed:

180 = (x)(0.375)

Solve for x:

180 = (x)(0.375)

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4 0

2 years ago

What’s the 5th term is 2,14,98

iragen [17]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3>Correct Question :-</h3>

What is the 5th term of an AP 2 , 14 ....98 .

<h3>Given :- </h3>

We have AP, 

$\sf{ 2 , 14 ,.... 98 }$
AP is the arithmetic progression or a sequence of numbers in which succeeding number is differ from preceeding number by a common value.

<h3>Solution :-</h3>

We have an AP :- 2 , 14 .....98

Therefore,

$\sf{a1\: or \:1st\: term = 2 }$
$\sf{a2 \:or \:2nd\: term = 14 }$
$\sf{an \:or\: last\: term = 98}$

Here,

Common difference of an AP

$\sf{ a2 - a1 }$

$\sf{ = 14 - 2}$

$\sf{ = 12}$

Thus, The common difference is 12

Now, 

We know that,

$\sf{an = a1 + ( n - 1 )d}$

$\sf{a5 = 2 + ( 5 - 1 )12}$

$\sf{a5 = 2 + 4 × 12}$

$\sf{a5 = 2 + 48}$

$\sf{\red{a5 = 50}}$

Hence, The 5th term of given AP is 50

4 0

2 years ago