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
MArishka [77]
2 years ago
9

The length of a rectangle is five less than three times the width. The perimeter is 46 inches .Find the length and width

Mathematics
1 answer:
zysi [14]2 years ago
7 0
Let l represent length, and w represent width
l=3w-5

P=2(l+w)
46=2(l+w)
Divided 2 for both side
l+w=23
Now, I substitute l=3w-5 into this equation
3w-5+w=23
4w-5=23
Add 5 for both side
4w=28
Divided 4 for both side
w=7 inches
l=3w-5
l=3(7)-5
l=21-5
l=16 inches. As a result, the length is 16 inches, and the width is 7 inches. Hope it help!
You might be interested in
Please help me solve this problem.
Tasya [4]

Let

x-------> total peanuts originally from the bag

we know that

1) Phillip took 1/3 of the peanuts from the bag--------> (1/3)*x

remaining=x-(1/3)*x-------> (2/3)*x

2) Joy took 1/4 of the remaining peanuts-------> (1/4)*[(2/3)*x]----> (1/6)*x

remaining= (2/3)*x-(1/6)*x------> (1/2)*x

3) Brett took 1/2 of the remaining peanuts------> (1/2)*(1/2)*x-----> (1/4)*x

remaining= (1/2)*x-(1/4)*x-------> (1/4)*x

4) Preston took 10 peanuts------> 10

(1/4)*x-10=71----> multiply by 4 both sides----> x-40=284----> x=324 peanuts

5) Total originally peanuts from the bag is equal to 324 peanuts

6) Phillip took (1/3)*x-----> (1/3)*324=108 peanuts

7) Joy took (1/6)*x------> (1/6)*324=54 peanuts

8) Brett took (1/4)*x------> (1/4)*324=81 peanuts

9) Preston took 10

so

check

108+54+81+10=253

remaining=324-253------> remaining=71-------> is correct

6 0
3 years ago
What is 896.854 in word form
Dahasolnce [82]
Eight hundred and ninety-six point eight hundred and fifty-four.
8 0
3 years ago
Read 2 more answers
Mark the angles and sides of each pair of triangles to indicate that they are congruent.
Sophie [7]
5 because I believe I think I believe it’s 5 I believe yea it’s 5 definitely
4 0
3 years ago
Read 2 more answers
Brady made a scale drawing of a rectangular swimming pool on a coordinate grid. The points (-20, 25), (30, 25), (30, -10) and (-
djverab [1.8K]

Answer:

Length = 50 units

width = 35 units

Step-by-step explanation:

Let A, B, C and D be the corner of the pools.

Given:

The points of the corners are.

A(x_{1}, y_{1}})=(-20, 25)

B(x_{2}, y_{2}})=(30, 25)

C(x_{3}, y_{3}})=(30, -10)

D(x_{4}, y_{4}})=(-20, -10)

We need to find the dimension of the pools.

Solution:

Using distance formula of the two points.

d(A,B)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}----------(1)

For point AB

Substitute points A(30, 25) and B(30, 25) in above equation.

AB=\sqrt{(30-(-20))^{2}+(25-25)^{2}}

AB=\sqrt{(30+20)^{2}}

AB=\sqrt{(50)^{2}

AB = 50 units

Similarly for point BC

Substitute points B(-20, 25) and C(30, -10) in equation 1.

d(B,C)=\sqrt{(x_{3}-x_{2})^{2}+(y_{3}-y_{2})^{2}}

BC=\sqrt{(30-30)^{2}+((-10)-25)^{2}}

BC=\sqrt{(-35)^{2}}

BC = 35 units

Similarly for point DC

Substitute points D(-20, -10) and C(30, -10) in equation 1.

d(D,C)=\sqrt{(x_{3}-x_{4})^{2}+(y_{3}-y_{4})^{2}}

DC=\sqrt{(30-(-20))^{2}+(-10-(-10))^{2}}

DC=\sqrt{(30+20)^{2}}

DC=\sqrt{(50)^{2}}

DC = 50 units

Similarly for segment AD

Substitute points A(-20, 25) and D(-20, -10) in equation 1.

d(A,D)=\sqrt{(x_{4}-x_{1})^{2}+(y_{4}-y_{1})^{2}}

AD=\sqrt{(-20-(-20))^{2}+(-10-25)^{2}}

AD=\sqrt{(-20+20)^{2}+(-35)^{2}}

AD=\sqrt{(-35)^{2}}

AD = 35 units

Therefore, the dimension of the rectangular swimming pool are.

Length = 50 units

width = 35 units

7 0
3 years ago
At the market, 777 apples cost \$4.55$4.55dollar sign, 4, point, 55. how much do 999 apples cost? \$
vredina [299]
I divided $.55 by 777 and got 0.00585 cents per apple.  Then I mulitplied 0.00585 by 999 and got $5.85.
6 0
2 years ago
Other questions:
  • A group of 8 students apply for MBA program at CBA, CSULB. According to the historical data, probability of admittance at MBA pr
    7·1 answer
  • What x value solves the equation?<br> 3x - 5 = 1<br> x=
    12·2 answers
  • Parallelogram L O N M is shown. Diagonals are drawn from point L to point N and from point O to point M and intersect at point Q
    15·2 answers
  • Is it possible for a cylinder to have a cross section of a rectangle?
    10·1 answer
  • The Corner Store sells 4 bottles of energy drinks for $11.56, Bev's sells 6 bottles for $17.94. Which is the better buy?
    13·2 answers
  • Please help! asap! thanks! xoxoxo
    15·2 answers
  • Mr.Williams' physical education class lasts 7/8 hours. How many minutes are not spent on instructions? playing game:1/2, instruc
    11·1 answer
  • 1. A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turned on for the
    11·1 answer
  • Convert the following quadratic from vertex form to standard form. Y=(x-1)^2-1
    7·1 answer
  • Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescen
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!