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
AleksandrR [38]
2 years ago
13

A candy factory wants to compare a new machine to their current machine. Both machines produce y boxes of candy for every hour x

. The current machine is represented by the equation f(x). The new machine is represented by the equation g(x). f(x) = 15x + 90 g(x) = 30x + 30 After what number of hours will the amount of candy produced be the same for both machines?
Mathematics
1 answer:
SashulF [63]2 years ago
4 0

Answer:

<em>In 4 hours.</em>

Step-by-step explanation:

Just equate f(x) = g(x). So:

15x + 90 = 30x + 30

60 = 15x

<em>x = 4 hours.</em>

You might be interested in
Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number
Masja [62]

Answer:

<h2>√512 by √512 </h2>

Step-by-step explanation:

Length the length and breadth of the rectangle be x and y.

Area of the rectangle A = Length * breadth

Perimeter P = 2(Length + Breadth)

A = xy and P = 2(x+y)

If the area of the rectangle is 512m², then 512 = xy

x = 512/y

Substituting x = 512/y into the formula for calculating the perimeter;

P = 2(512/y + y)

P = 1024/y + 2y

To get the value of y, we will set dP/dy to zero and solve.

dP/dy = -1024y⁻² + 2

-1024y⁻² + 2 = 0

-1024y⁻² = -2

512y⁻² = 1

y⁻² = 1/512

1/y² = 1/512

y²  = 512

y = √512 m

On testing for minimum, we must know that the perimeter is at the minimum when y = √512

From xy = 512

x(√512) = 512

x = 512/√512

On rationalizing, x = 512/√512 * √512 /√512

x = 512√512 /512

x = √512 m

Hence, the dimensions of a rectangle is √512 m  by √512 m

5 0
2 years ago
A company claims that its tablet computers have an average recharge time of 3 hours. Using a random sample of 50 company tablet
kondor19780726 [428]

Solution:

The Statement made by company about it's tablet computer,

Average recharge time = 3 Hours

As, to check whether the company claim is illegal or true

A random sample of 50 company tablet computers, and their recharging time is noted.

As, we have taken random sample , so standard deviation will come into consideration whether company claim is true or false.

Mean recharge time of 50 company tablet computers=  2.5 hours

Standard deviation of 50 company tablet computers=  0.3 hours

So, Mean standard deviation =

   2.5 \pm0.3\\\\ 2.5 -0.3 \leq {\text{Mean standard deviation}}\leq 2.5+0.3\\\\ 2.2\leq {\text{Mean standard deviation}}\leq 2.8

So, Claim made by company , that its tablet computers have an average recharge time of 3 hours is  Approximately true.

As , there is fluctuation of (3 hours - 2.2 hours =3-2.12=48 minutes ) and (3 hours -2.8 hours=3-2.48=12 minutes), which is not so much ,so we can believe on this company and buy the product (that is tablet computers) of this company.

7 0
2 years ago
Read 2 more answers
Sam is a waiter at a local restaurant where he earns wages of $7 per hour. Sam figures that he also earns about $5 in tips for e
stira [4]
C makes the most sense
5 0
2 years ago
Read 2 more answers
Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a n
Svetradugi [14.3K]

Answer:

Part a) The scale of the new blueprint is \frac{5}{8} \frac{in}{ft}    

Part b) The width of the living room in the new blueprint is 9.4\ in

Step-by-step explanation:

we know that

The scale of the original blueprint is

\frac{2}{5}\frac{in}{ft}

and

the width of the living room on the original blueprint is 6 inches

so

<em>Find the actual width of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft

<em>Find the actual length of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft

<em>Find the scale of the new blueprint</em>, divide the length of the living room on the new blueprint by the actual length of the living room

\frac{15}{24} \frac{in}{ft}

simplify  

\frac{5}{8} \frac{in}{ft}      

<em>Find the width of the living room in the new blueprint, using proportion</em>

\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in

3 0
2 years ago
A metal frame is constructed in the form of an isosceles trapezoid. Each base angle measures 80°, the length of the base is 7 fe
jonny [76]
Height of a trapezoid:
h = 5 · sin 80° = 5 · 0.985 = 4.924
x = 5 · cos 80° = 5 · 0.17365 = 0.868
7 - x = 7 - 0.868 = 6.132
By the Pythagorean theorem:
d² = 6.132² + 4.924²
d² = 37.6 + 24.25
d² = 61.85
d = √61.85
d = 7.86 ≈ 8
Answer: The length of a diagonal brace is 8 feet.
3 0
2 years ago
Other questions:
  • Brent has a piece of rope that is 6 5/6 feet long. He uses 4 1/3 feet of the rope to hang a tire swing. How much rope does he ha
    6·2 answers
  • Find the value of x<br> .<br><br> 12.5,−10,−7.5,x<br> ; The mean is 11.5<br> .
    15·1 answer
  • PLEASE HELP!! 10 POINTS!! WILL MARK BRAINLIEST!!
    8·1 answer
  • If PQ=RS, which of the following must be true?
    15·1 answer
  • Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.9 kg. Let X b
    9·1 answer
  • The average life of a bread-making machine is 7 years, with a standard deviation of 1 year. Assuming that the lives of these mac
    11·1 answer
  • Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
    13·1 answer
  • Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Se
    6·1 answer
  • Guided Practice
    10·2 answers
  • The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!