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Gnoma [55]
3 years ago
6

A triangle has a perimeter of

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

The smallest side is 7inches

Step-by-step explanation:

Let the shorter side be y.

The medium side is 4 more than the short side i.e

Meduim side = 4 + y

The longest side is 5 times the length of the shortest side i.e

Logest side = 5y.

Perimeter of the triangle = 53 inches

But the perimeter of a triangle is the Sum of all sides i.e

P = small + medium + large

53 = y + (4+y) + 5y

53 = y + 4 + y + 5y

Collect like terms

53 — 4 = 7y

49 = 7y

Divide both side by 7

y = 49/7

y = 7inches

Therefore the smallest side is 7inches

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What does x equal in this equation: 24+3x=3x+3(7-1) Please help this is due tomorrow!
Zinaida [17]

                                              24 + 3x = 3x + 3(7 - 1)

Eliminate the parentheses:    24 + 3x = 3x + 3(6)

                                              24 + 3x = 3x + 18

Subtract  3x  from each side:       <em>24  =  18</em>

Look at that for a second.  Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.

That's just another way to say: "The equation has NO solution."


3 0
3 years ago
The pairs that equal to 4x-y=10
Tcecarenko [31]
You can work it out by using trial and error

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6 0
3 years ago
Which algebraic expression is equivalent to the expression below?
Vera_Pavlovna [14]
<h3><u>Answer:</u></h3>

=11n+18

<h3><u>Step-by-step explanation:</u></h3>

3n+13+5+8n

<h3><u>Combine Like Terms:</u></h3>

=3n+13+5+8n

=(3n+8n)+(13+5)

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6 0
3 years ago
The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of
kap26 [50]

Answer:

The elevation of Lucas Oil Field is of 715 feet.

Step-by-step explanation:

Elevation of Sports Authority Field:

Of 5280 ft.

Compared to Lucas Oil Field:

275ft than seven times the Lucas Oil Field elevation of x.

Equation:

275 + 7x = 5280

What is the elevation of Lucas Oil Field?

Solving the above equation:

7x = 5280 - 275

7x = 5005

x = \frac{5005}{7}

x = 715

The elevation of Lucas Oil Field is of 715 feet.

8 0
3 years ago
Deductions this Week: Federal Tax $52.02, FICA $33.02, State $5.33. Find the annual Federal Tax deduction
Leya [2.2K]

Answer:

The annual federal tax deduction is $2705.04 .

Step-by-step explanation:

As given deduction in a week

Federal Tax $52.02

As there are 52 weeks in a week.

Thus

Annual Federal Tax deduction = Total number of weeks in a year ×  Federal Tax  deduction in week

                                                  = 52 × 52.02

                                                  = $ 2705.04

Therefore the annual federal tax deduction is $2705.04 .

                                       


3 0
3 years ago
Read 2 more answers
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