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
san4es73 [151]
3 years ago
7

What value of x makes the following equation true 4+3x=160

Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0

Answer:

x=52

Step-by-step explanation:

160=4+3x

Subtract 4 from both sides

156=3x

Divide 3 from both sides

x=52

You might be interested in
A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo
katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the boxV=x^2z

Volume of the box=12 ft^3\\

Therefore, x^2z=12\\z=\frac{12}{x^2}

The material for the base costs \$0.17/ft^2, the material for the sides costs \$0.10/ft^2, and the material for the top costs \$0.13/ft^2.

Area of the base =x^2

Cost of the Base =\$0.17x^2

Area of the sides =4xz

Cost of the sides==\$0.10(4xz)

Area of the Top =x^2

Cost of the Base =\$0.13x^2

Total Cost, C(x,z) =0.17x^2+0.13x^2+0.10(4xz)

Substituting z=\frac{12}{x^2}

C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}

To minimize C(x), we solve for the derivative and obtain its critical point

C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2

Recall: z=\frac{12}{x^2}=\frac{12}{2^2}=3\\

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0
3 years ago
What equation represents the proportional relationship displayed in the table? x 2 4 6 8 y 10 20 30 40 Enter your answer by fill
hjlf

Answer: y=5x

Step-by-step explanation:

pls mark brainliest :)

5 0
2 years ago
What is 3/4 = w + 2/5
shusha [124]
Convert all fractions to have the same denominator. 

To convert, we must find the least common multiple of the two denominators of the fractions:

Multiples of 4: {4,8,12,16,20}
Multiples of 5: {5,10,15,20}

The least common multiple of 4 and 5 is 20. 

Multiply the fractions by a number that will result in the denominator being 20:

\frac{3}{4} * \frac{5}{5} = \frac{15}{20}

\frac{2}{5} * \frac{4}{4} = \frac{8}{20}

The equation should now look like this:

\frac{15}{20} = w + \frac{8}{20}

Subtract both sides by 8/20 to get w by itself:

\frac{15}{20} - \frac{8}{20} = \frac{7}{20}

w = \frac{7}{20}

The value of w is 7/20.
7 0
3 years ago
Read 2 more answers
The measures of two complementary angles are m< 1 = 162 - 9 and m<2 = 4z - 1. Find m<2.
Novay_Z [31]

Answer:

yyyyyy yyyyyyyyyyyyyyyyy

5 0
2 years ago
12 2/6 converted to a mixed number
Kipish [7]

12 2/6 is a mixed number. Though, it can be simplified to 12 1/3


3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the following system of equations. Express your answer as an ordered pair in the format (a,
    10·2 answers
  • Find the area of a sector with a central angle of 140° and a diameter of 9.6 cm. Round to the nearest tenth.
    11·1 answer
  • How much kinetic energy does a 80 kg man have while running at 1.5 M/S
    5·1 answer
  • 32 is 160% percent of what number
    5·1 answer
  • What is 0.83 as a reduced fraction
    5·2 answers
  • The total resistance R of two resistors connected in parallel circuit is given by 1/R = 1/R_1 + 1/R_2. Approximate the change in
    5·1 answer
  • What is 10 more than 124
    7·2 answers
  • Given c= -15 and d<br> -22, what is c - d?
    5·1 answer
  • Is the ratio 4.2:1.5 proportional to the ratio12.6:4.5? Explain.
    7·2 answers
  • Consider the equation -12x+4y=48=0 <br> find the y value and the y intercept of the line.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!