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3 years ago

Please help me solve this, I can't get a right answer even though it is easy: | 2x + 4 | = 12

1 answer:

5 0

Because the left side is eclipsed in an absolute value, we have two possible values of x, denoted by:
2x+4 = 12 and -(2x+4) = 12

Solving for both of these, we are presented with the two values of x:
x = 4 and x = -8

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Lucas' mom is eight years older than twice his age. The sum of their ages is 77. How old are Lucas and his mom?

Rudiy27

Answer:

Age of Lucas = 23 years

Age of Lucas Mom = 54 Years

Step-by-step explanation:

In this question we have to find the age of Lucas and his Mom

Let the age of Lucas be x

According to given condition

Twice of his age 2 * x =2x

Eight years older means age + 8x

Age of his mom = Twice of his age + 8

= 2x + 8 .................(ii)

now according to second condition

Age of Lucas + Age of his mom = 77

Put the values in the condition above

x + (2x + 8) = 77

x + 2x + 8 =77

3x + 8 = 77

subtracting 8 from both sides

3x + 8 - 8 = 77 -8

3x = 69

Dividing both sides by 3

x = 69 / 3

x = 23 years

Age of Lucas = 23 years

Now from equation (i)

Age of Lucas Mom = 2(x) + 8

putting in the value we get

Age of Lucas Mom = 2 ( 23) + 8

=46 + 8

=54 Years

Age of Lucas Mom = 54 Years

3 0

3 years ago

Classify the sequences as arithmetic geometric, Fibonacci -5,0,10,15,25

vovikov84 [41]

It is arithmetic.

It starts at - 5,

the next item is 0 then 5 and next is 15 ...

============

It isn't geometric. You are not multiplying by 5

The second term must be and not- 5 * 5 = - 25

============

A Fibonacci series adds the previous two terms together to get the next term

Usually it starts at 0, but it doesn't need to.

0,1,1,2,3,5,8,13,21,34 ....

4 0

3 years ago

Read 2 more answers

Clarissa (the surveyor from our book) is at home and needs to figure out how tall her wall is in order to replace one of the lig

Vikentia [17]

Answer:

18 feet

Step-by-step explanation:

As per the diagram, the triangles on the left and right are similar.

<u>The ratio of corresponding sides is equal:</u>

27/9 = x/6
x = 6*3
x = 18

The height of the wall is 18 feet

3 0

3 years ago

Read 2 more answers

Plss solve 29 for me.with the steps<br> plsssßs I am begging u

lakkis [162]

That means that the first rectangle and the first triangle ave athe same perimiter

so therefor
perimiter=sides added up
rectangle has 4 sides bu 2 is given so double it since the other side is same legnth
rec=x+x+4
multiply 2
2x+2x+8=4x+8=perimiter
this is equal to perimiter of triangle which is
x+9+x+5+x=3x+14
therefor
4x+8=3x+14
subtract 3x from both sides
x+8=14
subtract 8 from both sides
x=6
first one x=6

second rectangle and second triangle
s+7 and 3s
2 sides
2s+14+6s=p
8s+14=p

traignel=2s+12+2s+12+2s+12=6s+36=p
they are equal so
8s+14=6s+36
subtract 6s from both sides
2s+14=36
subtract 14 from both sides
2s=22
divide both sideds by 2
s=11

the values are
pair one:
x=6

pair 2:
s=11

5 0

2 years ago

A painter is painting a rectangular wall that measures 23.6 ft by 19.2 ft. Each gallon can of paint covers 200 square feet. What

ludmilkaskok [199]

Answer:

3 gallons

Step-by-step explanation:

Length of the rectangular wall = 23.6 feet

Width of the rectangular wall = 19.2 feet

Surface area of the wall = 23.6 × 19.2

= 453.12 square feet

∵ 200 square feet of the wall is covered by the amount of paint = 1 gallon

∴ 1 square feet of the wall will be covered by the amount of paint = $\frac{1}{200}$ gallons

∴ 453.12 square feet will require the amount of paint = $\frac{453.12}{200}$

= 2.2656 gallons

Therefore, minimum 3 gallons will be required to paint the wall.

5 0

3 years ago