answer.
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
yawa3891 [41]
2 years ago
15

A rectangular section of granite is being cut so that the length is 3 times the width. The perimeter of the section must be less

than 320 inches.
Which statement is true?

A.
The length of the granite must be at least 80 inches.
B.
The length of the granite must be less than 100 inches.
C.
The length of the granite must be at least 100 inches.
D.
The length of the granite must be less than 120 inches.
Mathematics
2 answers:
s344n2d4d5 [400]2 years ago
8 0

Answer:

D.

The length of the granite must be less than 120 inches.

Step-by-step explanation:

Let x inches be the widht of the section. If the length is 3 times the width, then the length is 3x inches.

The perimeter of the rectangle is

P=2(\text{width + length})

Hence,

P=2(x+3x)=2\cdot 4x=8x

The perimeter of the section must be less than 320 inches, so

8x

agasfer [191]2 years ago
6 0

Answer:

D.

The length of the granite must be less than 120 inches.

Step-by-step explanation:

You might be interested in
Given an int variable n that has already been declared and initialized to a positive value, and another int variable j that has
Inessa05 [86]

Answer:

for(j = n; j > 0; j--)

System.out.print(\"*\");

Step-by-step explanation:

-A for loop is a repetition control structure.

-It allows the efficiency to write a loop that would otherwise be written a couple of times.

-The output is a single line comprising n asterisks,

-The number of asterisks printed will be equivalent to the n-value declared.

7 0
2 years ago
Dai has 3 meters of fabric that he wants to cut into 5 equal sized pieces. what is true about the length of each piece of fabric
musickatia [10]
3/5=.6
.6=6/10
6/10=3/5
8 0
2 years ago
Read 2 more answers
What is the range of the function f(x) = 3x2 + 6x – 8?
yawa3891 [41]
F(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
f(x)=3 x^{2} +6x-8, written in vertex form is
y=3 (x+1)^{2} -11, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}


5 0
2 years ago
Read 2 more answers
7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
Sophie [7]

Answer:

Step-by-step explanation:

This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

6 0
2 years ago
Which is the graph of linear inequality x – 2y ≥ –12?
galben [10]

Answer:

option D

Step-by-step explanation:

x-2y≥-12

-2y≥-x-12

y≤0.5x+6

has to be a solid line since y is less than or equal to 0.5x+6

so, options 1 and 3 are not applicable

also, in y≤0.5x+6 , y is less than or equal to this line, thus it only exists on the line and to the right of it (below it)

so, option 2 is wrong also, leaving us with option 4 or D, which in this case is the answer

I attached a file of this inequality's graph to prove my answer once more

4 0
2 years ago
Other questions:
  • What is f(x) = 7x2 + 42x written in vertex form?
    14·2 answers
  • For each of the three ionic compounds, select which main group X belongs to. a.)X3PO4 b.)CaX2 c.)X2(SO4)3
    10·1 answer
  • A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
    9·1 answer
  • Melissa had 7 pages of homework! She only completed 5 before her soccer practice. Choose the division problem that shows what fr
    6·1 answer
  • Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the percent of change.
    6·1 answer
  • In Jane’s calculus class at a large university, the final exam had a mean score of 75 and a standard deviation of 10. In Peter’s
    7·1 answer
  • Zinc roofing weighs 1.6 pounds per square foot. Jose wants to order 357.85 square feet of roofing. Before ordering, he calculate
    8·2 answers
  • The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Use an expone
    9·1 answer
  • Logan earned $8 for each dog he walked last summer. This summer, he raised his fee to $9 per dog. Express the change in Logan’s
    14·1 answer
  • How many cups are in 1 liter? Which conversions show a path to the solution? Check all that apply. cups Right-arrow liters Right
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!