1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksandr82 [10.1K]
3 years ago
7

If the perimeter of this triangle is to be no more than 77 feet, write an inequality and

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Given:

Consider the sides of the triangle are 4x+10, 2x-5 and 18 (in feet).

Perimeter of this triangle is to be no more than 77 feet.

To find:

The inequality and solution of the inequality.

Solution:

Perimeter of a triangle is the sum of all side.

Perimeter of given triangle =(4x+10)+(2x-5)+18

Perimeter of this triangle is to be no more than 77 feet. It means perimeter must be less than or equal to 77.

(4x+10)+(2x-5)+18\leq 77

(4x+2x)+(10-5+18)\leq 77

6x+23\leq 77

6x\leq 77-23

6x\leq 54

Divide both sides by 6.

x\leq \dfrac{54}{6}

x\leq 9

Therefore, the required inequality is (4x+10)+(2x-5)+18\leq 77 and the solution is x\leq 9.

You might be interested in
Terrance Jacobs is looking for a larger home. Jacobs offers $205,000 for a fourbedroom house and the seller accepts. Jacobs wish
dalvyx [7]

Answer:

<u>Terrance will need a mortgage loan of US$ 174,250</u>

Step-by-step explanation:

1. Let's review the information given to solve the question.

Value of the house Terrance Jacobs is going to buy = US$ 205,000

Down payment Terrance can afford = 15% of the value of the house

Down payment Terrance can afford = 15% of US$ 205,000

Down payment Terrance can afford = 15% * 205,000

<u>Down payment Terrance can afford = US$ 30,750</u>

2. For finding the amount of the mortgage loan Terrance need for buying the house, we should do this:

Amount of mortgage loan = Value of the house - Down payment

Amount of mortgage loan = 205,000 - 30,750

<u>Amount of mortgage loan = US$ 174,250</u>

<u>Terrance will need a mortgage loan of US$ 174,250</u>

7 0
3 years ago
PLEASE HELP (only if you know what you are doing )
KiRa [710]

Answer:

1. 3     2. 22     3. 0

Step-by-step explanation:

First Box: Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 6 individual songs that would cost her $3.

because each individual song cost $0.50 so (6 times 0.5= 3)

Since Jada only has $15 we need to subtract 3 from 15 to find out how much money she has left. So, 15-3=12. Jada has $12 left

An album cost $4 dollars each so Jada can only buy 3 albums with $12 because 12 divided 4 is 3.

Answer to first box: 3

Second Box:  Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 1 album that would cost her $4.

because each individual song cost $4 so (4 times 1= 4)

Since Jada only has $15 we need to subtract 4 from 15 to find out how much money she has left. So, 15-4=11. Jada has $11 left

An individual song cost $0.50 dollars each so Jada can only buy 22 individual songs with $11 because 11 divided by 0.5=22.

Answer to second box: 22

Third Box: Jada only has <u>$15</u> dollars she can spend

If she chooses to buy 30 individual songs that would cost her $15.

because each individual song cost $0.50 so (30 times 0.5= 15)

Since Jada only has $15 we need to subtract 15 from 15 to find out how much money she has left. So, 15-15=0. Jada has $0 left

An album cost $4 dollars each so Jada can only buy 0 albums with $0 because 0 divided 4 is 0.

Answer to third box: 0

4 0
3 years ago
Read 2 more answers
Evaluate the following expression for x = –2 and y = –4.
elena55 [62]

Step-by-step explanation:

check your question again

4 0
3 years ago
CAn you please explain thist to me?
boyakko [2]
Find the volume of the cone Vc
Find volume of sphere Vs
Volume of shaded figure Vsh=Vc-Vs
8 0
2 years ago
Please help will give brainlyest need help asap
iren2701 [21]

Answer:

friend me on here and imma send you the link Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Need help with this!!
    10·1 answer
  • How do you determine if an equation is a function?
    15·1 answer
  • If g(x) is a function that represents the cost if x packs of pens, write an equation which shows that 8 packs of pens costs $30
    13·1 answer
  • Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 o
    7·1 answer
  • The equation of line L, is y= 5x + 1
    5·1 answer
  • Find the exact value of tan e.<br> A. 15<br> 3<br> B. 3/14<br> 14<br> C. 35<br> 5<br> D. 2/14
    7·2 answers
  • Mhanifa Please help find angle 1,2,3,4 and 5 thanks!
    12·2 answers
  • Original price:$50, Find the Percent of Discount: _____________, Sale price: $32
    9·1 answer
  • What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
    12·2 answers
  • The length of a rectangle is twice its width.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!