Simplify to create an equivalent expression. 6(3 + t) + (2t + 5) x 2
Step-by-step explanation:
28+10t is the simplest expression
7/16 = x/32 what is the value of x?
A company produces two types of bicycles; mountain bikes and racing bikes. It takes 5 hours of assembly time and 4 hours of mechanical tuning to produce a mountain bike. It takes 10 hours of assembly time and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week and at most 152 hours of assembly labor per week. The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of mountain bikes they produce, and let y represent the number of racing bikes they produce.
It takes 4 hours of mechanical tuning to produce a mountain bike and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week. Therefore the constraint is:
4x + 2y ≤ 23 (1)
It takes 5 hours of assembly time to produce a mountain bike and 10 hours of assembly time to produce a racing bike. The company has at most 152 hours of mechanical tuning labor per week. Therefore the constraint is:
5x + 10y ≤ 152 (2)
Also, x, y ≥ 0 (3)
The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The profit equation is:
Profit = 40x + 140y
Plotting the constraints equation 1 and equation 2 using geogebra online graphing tool. The solution are (0,0), (5,75, 0), (0, 11.5)
At (0,0); Profit = 40(0) + 140(0) = 0
At (5.75,0); Profit = 40(5.75) + 140(0) = 230
At (0,11.5); Profit = 40(0) + 140(11.5) = 1610
The maximum profit is at (0, 11.5)
Find the mode 24,22,46,23,20,25,24
Answer:
24
Step-by-step explanation:
We are given a strand of numbers and are asked to find the mode.
To find mode, we have to see which number appears the most within the number strand, let's start with ordering the numbers from least to greatest.
20, 22, 23, 24, 24, 25, 46
Looking at the strand we see that 24 appears the most, therefore 24 is the mode.
Answer:
24
Step-by-step explanation:
Put the numbers in order.
20, 22, 23, 24, 24, 25, 46
Count how many of each number.
20
22
23
24, 24
25
46
The number that appeared the most is the mode.
24 appeared twice and the other numbers appeared only once.
Bill from Bill's Burgers raises the price of his bacon cheeseburger by 15%. If the old price was $6, what is the new price?
Answer:
$6.90
Step-by-step explanation:
$6 * .15 = $0.90
$6 + $0.90= $6.90
Answer:
$6.90
Step-by-step explanation:
6 x 1.15 = 6.9
= $6.90
If a1 = 4 and an = -3an-1 then find the value of a4.
Answer:
[tex]a_4 = -108[/tex]
Step-by-step explanation:
Given
[tex]a_n = -3a_{n-1}[/tex]
[tex]a_1 = 4[/tex]
Required
Find [tex]a_4[/tex]
[tex]a_4 = -3a_{4-1}[/tex]
[tex]a_4 = -3a_3[/tex]
We calculate for a3
[tex]a_3 = -3a_{3-1}[/tex]
[tex]a_3 = -3a_2[/tex]
Calculate for a2
[tex]a_2 = -3a_{2-1[/tex]
[tex]a_2 = -3a_1[/tex]
Substitute 4 for a1
[tex]a_2 = -3*4[/tex]
[tex]a_2 = -12[/tex]
Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]
[tex]a_3 = -3 * -12[/tex]
[tex]a_3 = 36[/tex]
Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]
[tex]a_4 = -3*36[/tex]
[tex]a_4 = -108[/tex]
Mr.Fuller wants to put fencing around his rectuangular-shaped yard. The width of the yard is 55 feet and the length is 75 feet. How many feet of fencing does Mr.fuller need
Answer: 22% fencing
Step-by-step explanation:
Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
To find the perimeter of the rectangular yard, we need to add up the lengths of all four sides.
The two sides that are 55 feet long are the width of the yard, and the two sides that are 75 feet long are the length of the yard.
So, the perimeter of the yard is:
Perimeter = 2 × (length + width)
Perimeter = 2 × (75 feet + 55 feet)
Perimeter = 2 × 130 feet
Perimeter = 260 feet
Therefore, Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
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Which number is in the solution set for the following inequality?
5x +3> 38
A. 5
B. 6
C. 7
D. 8
Aísle la variable dividiendo cada lado por factores que no contienen la variable.
Forma de inecuación:
×>7
Notación de intervalos:
(7,∞)(7,∞)
Don’t mind the check make but which statement describes the error the student made in simplifying the equation
Answer:
i think A sorry i dont know for suee
Which of the following mortgage options will not have a PMI requirement?
O A. 3/27 balloon mortgage
B. 30-year mortgage
O C. 7/1 ARM
D. 75/25 mortgage
75/25 mortgage, implies a down payment of 25%, so there would be no PMI requirement.
The correct answer is D.
What is a mortgage?A mortgage is a type of loan used to purchase real estate or property.
In a mortgage, the borrower (often called the "mortgagor") agrees to pay back the lender (often called the "mortgagee") over a period of time, typically 15 to 30 years.
We have,
A PMI (Private Mortgage Insurance) requirement is typically necessary for mortgages with a down payment of less than 20% of the purchase price of the home.
Now,
75/25 mortgage, implies a down payment of 25%, so there would be no PMI requirement.
3/27 balloon mortgage, and 7/1 ARM, do not relate to the PMI requirement.
A 30-year mortgage would have a PMI requirement if the down payment is less than 20%.
Thus,
75/25 mortgage, implies a down payment of 25%, so there would be no PMI requirement.
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what is 3333 x 45 x 3445 ill gave you a bainliest
Answer: 516698325
Step-by-step explanation:
Can someone explain this to me? Pls
Step-by-step explanation:
In Triangle (the symbolΔ)QRS,
Angle R is congruent to Angle Q,
And side QR=11
And side SQ=8
Find.The length of RS.
Please anyone help me on this
iiii wish iiiis corrrrrrect
1.7x0.825
0.24x3.3
Pls help thx
Answer: 1. 1.4025
2. 0.729
Step-by-step explanation:
Answers:
first one - 1.4025
second one - 0.792
rewrite the following equation in slope-intercept form
y-6=-9(x-5)
Answer:
y=-9x+51
Step-by-step explanation:
-9x+45=y-6
add 6 to both sides to get
-9x +51=y
x - 6y -- 2: = -8
--x + 5y + 3 = 2
3x - 2y - 42 = 18
What is the value of x?
x= [?]
CAN ANYONE HELP ME I WILL MARK AS BRAINLIEST
Solve the word problem and Write the statements.
Grade 3 students used three rolls of ribbons measuring 300 metres, 286 metres and 258 metres for dance in primary Concert. Find the total length of ribbons.
2+6453433+7/2=? what is the anwcer to this queston. please help
Answer:
6453438.5
Step-by-step explanation:
calculatorrrrr
Audiology is the study and medical treatment of hearing loss. What does the root aud mean?
Please help!!!!!!!!!!
Step-by-step explanation:
180-86= 94 is the answer
Is the set of ordered pairs above a function? {(3,4), (1,5), (-9,0), (3,-2)}
Answer:
not a function
Step-by-step explanation:
{(3,4), (1,5), (-9,0), (3,-2)}
This is not a function since the input 3 goes to two different outputs
3 goes to 4 and -2
Please help me i don’t have much time left please
‼️help‼️ If anyone could please help with this I would very much appreciate it, it’s due today!!!!
Answer:
So what should we figure out?
Step-by-step explanation:
what is the range of the data below 625,638,619,677,638,659
Answer:
34
Step-by-step explanation:659-625=34
Find the rate of $740 for 5 pounds
Answer:
Each $148 = 1 pound.
Step-by-step explanation:
Part B
Jose predicts that the value of his car will decrease exponentially by 25% over the next 4 years. If Jose's prediction
is correct, about how much will his car be valued at, to the nearest thousand dollars, after 4 more years?
Roberto evaluated 34 ÷ 45 and got an answer of 1516. Which statement is true about his answer? Whoever get it right and helps me get brainllest pls
Answer:
roberto is not smart
Step-by-step explanation:
34/45 is 0.75555555555 or 0.75 or .75
ur welcome
assume that a student is chosen at random from a class. Determine whether
the events A and B are independent, mutually exclusive, or neither. A: The student is a woman
B: The student belongs to a sorority
A student is chosen at random from a class ,The student is a woman.
What do you mean random?lacking a clear goal, plan, or pattern. : created, completed, or picked at random. read a few pages of the book at random. : referring to, containing, or being elements or occurrences that have a known likelihood of occurring.
Known as an entropy source, a TRNG is a function or apparatus that uses randomness to produce non-deterministic data (such as a series of numbers) to seed security algorithms.
As synonyms for random, the words casual and haphazard are frequently used.
straightforward random sampling Choosing a sample with simple random sampling necessitates the use of randomly generated numbers.
Random Sampling with StratificationRandom sampling in a cluster.systematically using random samplingTo learn more about random refer to:
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PLEASE HELP ASAP 50 POINTS AND BRAINLIEST EASY QUESTION!
Which options have a unit rate of 3?
1. 3 3/4 : 2
2. 2 : 2/3
3. 15/2 : 2 1/2
4. 2 1/2 : 5/6
5. 1 : 1/4
6. 2/3 : 1
PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE!