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gulaghasi [49]
3 years ago
8

Find the length of the longest side of the triangle if the perimeter is 23.

Mathematics
2 answers:
Elden [556K]3 years ago
5 0

Answer:

12

Step-by-step explanation:

Add up the given side lengths : 4x + 3x - 5 + 2x + 1 = 9x - 4 and this is equal to 23

9x - 4 = 23 ➡ 9x = 27 ➡ x = 3

The side lengths will be 12, 7, and 4

The longest one would be 12 if we replace x with the value we found.

Dmitry [639]3 years ago
3 0

Answer:

A, 3 units. Plug in each number where x is and see which sums up to 23. Hope this helped :) !

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Vinvika [58]
Answer: 4+8ac+12b

Explanation:
7 0
3 years ago
Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc
hram777 [196]

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is \boxed{\$ 110}.

Further Explanation:

Given:

Carmen has \$ 30 in store bucks.

A 25\% discount coupon for a local department store.

The total amount should be less than \$ 60 before sales tax.

Explanation:

Consider the amount of the purchase as A.

The Carmen has \$ 30 in store bucks.

The new amount will be \left( {A - 30} \right).

There is a 25\% discount coupon for a local department store.

The amount after discount can be calculated as follows,

\begin{aligned}{\text{Amount}} &= \left( {1 - 0.25} \right) \times \left( {A - 30} \right) \\&= 0.75\left( {A - 30} \right) \\\end{alignedd}

The total amount should be less than \$ 60 before sales tax.

The maximum amount can Carmen purchases so that after her store bucks and discount are applied can be calculated as follows,

\begin{aligned}0.75\left( {A - 30} \right) &\leqslant 60 \\\frac{{0.75\left( {A - 30} \right)}}{{0.75}} &\leqslant \frac{{60}}{{0.75}} \\ A - 30 &\leqslant 80 \\A - 30 + 30 &\leqslant 80 + 30 \\A &\leqslant 110 \\\end{aligned}

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is \boxed{\$ 110}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: Tax, returns, filed, tax return, Carmen, store bucks, department store, maximum, dollar, amount, Carmen purchase, discount, 25% discount coupon, coupon, sales tax.

5 0
3 years ago
Read 2 more answers
The length of a rectangular wire frame with dimensions of 12 cm × 8 cm increases at the rate of 0.5 cm per second, while its wid
arsen [322]

Answer:

2/3

Step-by-step explanation:

Since the length increases by 0.5 cm every second, after 8 seconds the length will increase by 4 cm. 12 + 8 + 12 + 8 = 40, and 40 - (16 + 16) = 8. 8/2 = 4, so the width is now 4. 16 * 4 = 64, and 12 * 8 = 96. 64/96 = 2/3.

7 0
3 years ago
3m + 8 + m = 36 which can be substituted for m to make this equation true?
PilotLPTM [1.2K]

Answer:

m = 7

Step-by-step explanation:

3m + 8 + m = 36 , that is

4m + 8 = 36 ( subtract 8 from both sides )

4m = 28 ( divide both sides by 4 )

m = 7

3 0
3 years ago
What is the measure of an angle that turns through one-twelfth (1/12) of a circle?
malfutka [58]
Well u have a circle and you cut it into 12 parts.
that means that each sector will have 3 angles.
so you would take the first sector which is 90 degrees and divide it by 3.
you would get each angle being at 30 degrees.

>>so 1/12 of a circle would be >> 30 degrees

hope this helps
remember if you ever need anything or need a question answered feel free to post it on my profile or you can message me...
7 0
3 years ago
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