Profit function gives the profit earned for given input. Thus, Rita has correct solution, that is, she needs to make 7 necklace to get $78 profit.
How to find the value of unknown variable in a linear equation?It might not be always possible. But for simple cases, we can try using addition or subtraction or such operations in linear equations if there is single variable with single equation.
For the given case, the profit $78 for x necklace manufactured is
[tex]8(x + 2.75) = 78[/tex]
(remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times (x + 3) = 2(x + 3)[/tex])
Solving this equation, we get:
[tex]8(x + 2.75) = 78\\\\\text{Dividing by 8 on both the sides}\\\\(x + 2.75) = \dfrac{78}{8} = 9.75\\\\\text{Subtracting 2.75 from both the sides}\\\\x = 9.75 - 2.75 = 7[/tex]
Rita has correct solution, that is, she needs to make 7 necklace to get $78 profit.
Learn more about solving linear equations here:
https://brainly.com/question/6196569
Answer:
C
Step-by-step explanation:
Lesson 8-2
In Items 15-18, identify the transformation from the
graph of f(x) = 2* to the graph of g(x).
15. g(x) = 2* – 3
16. g(x) = 2(x – 3)
17. g(x) = 2* + 4
18. g(x) = 2(x+4)
A saving account pays a 3% simple annual interest rate. How much must you put in the saving account to earn $100 in interest in 6 months?
HELP PlS
Step-by-step explanation:
Solution
Interest =100
Rate=3•/•
Time =0.5
principal =?
Now
p=I×100÷T×R
p=100×100÷0.5×3
P= 10000÷1.5
P=6666.66
Which expression is equivalent to -6(-2/3+2x)?
plss hurry im timed
-4-12x
-4+2x
4-12x
4÷12x
Answer:
4 - 12x
Step-by-step explanation:
-6(-2/3 + 2x)
we can distribute by multiplying -6 by whats inside of the parenthesis ( -2/3 and 2x )
-6 * -2/3 = 4
-6 * 2x = -12x
4 - 12x would be the equivalent expression
Given expression to us is ,
→ -6( -2/3 +2x)
Simplify by multiplying each terms inside the brackets by -6 .
→ -6*-2/3 + 2x*(-6)
Simplify,
→ 4 -12x
Hence option 3 is correct .
I hope this helps .
help with part b pls thank u
Answer:
See belowStep-by-step explanation:
speed = distance / timetime = distance / speeda)
i)
Time taken at the first part:
105 / xii)
Time taken at the second part:
(190 - 105) / (x + 12) = 85/(x + 12)b)
If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:
105/x + 85/(x + 12) = 13/44(x + 12)*105 + 4(85x) = 13x(x + 12)13x² - 604x - 5040 = 0c)
Solve the equation:
13x² - 604x - 5040 = 0x = [604 ± √((-604)² + 4*13*5040) ]/26 = [604 ± √626896]/26 = [604 ± 791.77]/26x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)d)
105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)Answer:
see below
Step-by-step explanation:
Let t = time (in hours)
a) i) First 105 km of journey
[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]
[tex]\implies x=\dfrac{105}{t_1}[/tex]
[tex]\implies t_1=\dfrac{105}{x}[/tex]
ii) Rest of journey
distance = 190 - 105 = 85 km
speed = [tex]x+12[/tex] km/h
[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]
[tex]\implies x+12=\dfrac{85}{t_2}[/tex]
[tex]\implies t_2=\dfrac{85}{x+12}[/tex]
b) 3 hours 15 minutes = 3.25 hours
[tex]\implies[/tex] total time = [tex]t_1+t_2=3.25[/tex]
[tex]\implies \dfrac{105}{x}+\dfrac{85}{x+12} =3.25[/tex]
[tex]\implies \dfrac{105(x+12)+85x}{x(x+12)} =3.25[/tex]
[tex]\implies 105(x+12)+85x =3.25x(x+12)[/tex]
[tex]\implies 105x+1260+85x =3.25x^2 +39x[/tex]
[tex]\implies 3.25x^2-151x-1260=0[/tex]
multiply by 4:
[tex]\implies 13x^2-604x-5040=0[/tex]
c)
[tex]\textsf{quadratic formula} \ x=\dfrac{-b \pm\sqrt{b^2-4ac} }{2a}}[/tex]
[tex]\implies x=\dfrac{604 \pm\sqrt{(-604)^2-4(13)(-5040)} }{2(13)}}[/tex]
[tex]\implies x=\dfrac{604 \pm\sqrt{626896} }{26}}[/tex]
[tex]\implies x = 53.68, x=-7.22[/tex]
(to 2 decimal places)
d) time ≥ 0, therefore, x = 53.68 only
Substitute x = 53.68 into the expression for [tex]t_1[/tex] and solve for [tex]x[/tex]:
[tex]\implies t_1=\dfrac{105}{53.68}=1.955912... \textsf{hours}=\textsf{1 hr 57 min}[/tex]
Which list is in order from least to greatest? 50 points
Two-thirds, StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction
StartFraction 6 Over 10 EndFraction
StartFraction 6 Over 10 EndFraction, StartFraction 5 Over 8 EndFraction, Two-thirds
StartFraction 6 Over 10 EndFraction, Two-thirds, StartFraction 5 Over 8 EndFraction
Answer:
the answer is 6/10, 5/8, 2/3
Step-by-step explanation:
I need help with 13 on both pictures. The first picture is the answer and the second picture is the question not getting the answer at all
Problem 13
If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.
Example: x^3 times x^3 = x^6 in the top left cornerAnother example: 2x times x = 2x^2 in the bottom right corner.This is known as the box method to keep track of all the terms multiplied.
Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).
The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2
x − y = 4 y − 8 = -x At which point do the given equations intersect each other?
Answer:
(6,2)
Step-by-step explanation:
Graph is below
no links or files please, i just need the answers.. (Worth 25 points)
Answer:
A ,D , F
Step-by-step explanation:
A) x-3=0 , x=3
B 1+x=2 , x=2-1=1 , x=1
C 9-x=3 , x=9-3=6 , x=6
D) 6=2x , x=6/2=3 , x=3
E (1/5)x=3 , x=3*5=15 , x=15
F) x^2=9 x=√9 , x=3
6.
A swimmer plans to swim at least 100 laps during a 6-day period. During this period,
the swimmer will increase the number of laps completed each day by one lap. What
is the least number of laps the swimmer must complete on the first day?
Answer:
I think 15
Step-by-step explanation:
15+16+17+18+19+20=105
if it was 14 it would equal to 99
$13.56 is what percent of $16.95?
Answer:
$13.56 is 80% of $16.95.
the length of a quarter is .955. Round .955 to the nearest tenth of an inch
Answer:
1.0 inch
Step-by-step explanation:
Round the 9 in 0.955, this turns it into 1.0, Since you said an inch, the value will be in inches.
Answer:
1.0in is your answer!
Step-by-step explanation:
the person above me explained it good enough
Please answer these thank u
1. 3*3 + 3*8 = 9+24=33
2. 4*4+.5*2*4+5*5= 16+4+25=45
3. 5*10+4*10= 90
4. 24+.5*4*4 = 32
Divide. Write the answer in simplest form.
2 7/9 divided by 2
Answer:
1 7/18
Step-by-step explanation:
2 7/9= 25/9
25/9 divided by 2 is 25/18
Answer:
1 7/8
Step-by-step explanation:
2 7/9 simplified as 25/9 divided by 2 is 25/18 which is 1 7/8 if you simplify it. I hope my answer helps!
Which expressions are equivalent? chose all that apply.
Answer:
7.7.7.7 and 7^4 and seven to the fourth power
Step-by-step explanation:
They all equal 2401.
They are all the same but in different forms:
(7.7.7.7- expression)
(7^4 - exponential form)
(seven to the fourth power-word form of exponent)
what is the median and mode of 28,34,34,50,54
Answer:
Both your median and mode are 34.
Step-by-step explanation:
The median is the middle of the set of numbers in order, and your mode is the number that appears the most.
Good luck :)
Antonia is saving for a video game. On the first day, she saves two dollars in her piggy bank. Each day after that, she doubles the number of dollars she saved on the previous day. How many dollars does she save on the sixth day?
Answer:
64
Step-by-step explanation:
so each day you times the amount of money by two
1=2
2=4
3=8
4=16
5=32
6=64
7=128
Work out the value of angle marked b
Answer:
22
Step-by-step explanation:
180-90-68=22
Answer:
180 - (90+68) = 22
B =22
Hope this helps!
Elisabeth reads 15 of her book in 112 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to read 3/4 of the book?
Enter your answer as a mixed number in the simplest form by filling in the boxes.
The number of hours it takes Elisabeth to read 3/4 of the book is; 5³/₅ hours
What are mixed numbers?We are told that she reads 15 of her books in 112 hours.
Thus, number of hours to read one book is;
112/15 hours per book
Therefore, number of hours to read ³/₄ of the book is;
³/₄ * ¹¹²/₁₅ = 28/5
As a mixed number is 5³/₅ hours per book
Read more on mixed numbers at; https://brainly.com/question/10225
Answer:
5 5/8 h
Step-by-step explanation:
took the test and got it right :)
The tables show the height in
centimeters each plant grew during
a week. Assume the patterns continue.
Compare the growth in height of
each plant.
Answer:
Plant B grows 3 times as fast as Plant A
Step-by-step explanation:
Both plants start at 0 height on Day 1 and grow the same amount each day. Plant A grows 2 cm each day; Plant B grows 6 cm each day. The growth rate of Plant B is 3 times the growth rate of Plant A.
One year, the population of a city was 105,000. Several years later it was 95,550. Find the percent decrease.
Answer: 9% decrease in population
Step-by-step explanation:
trust
A rectangle is 10 feet long by 2 feet wide.
If 3 feet are removed from the length of t
would be the area, in square feet, of the
You can earn 1 coin
Answer:
14 ft²
Step-by-step explanation:
To find the area of a rectangle you multiply the length and width. Sense the length is 10 feet but 3 feet was removed it is now 7 feet. Now you multiply that 7 feet by the width of 2 feet to get
7×2=
Area= 14 ft²
Admission to the school dance is $4.00. There is a picture booth at the dance, and each picture costs $1.50. Maria has $10.00. Which inequality represents the number of pictures, p, that Maria can purchase at the dance with admission?
A. 4.00p + 1.50 ≥ 10.00
B. 4.00 + 1.50p ≤ 10.00
C. 4.00p + 1.50 ≤ 10.00
D. 4.00 + 1.50p ≥ 10.00
what were the most important people for mary eliza mahoney
Answer:
African American and women
Step-by-step explanation:
Mary Eliza Mahoney was eager to encourage greater equality for African Americans and women
hope this helps!
Evaluate the algebraic expression when b = 3, d = 12, h = 2 and r = 7.
A. 8
B. 16
C. 24
D. 32
Answer:
24
Step-by-step explanation:
the answer is 24 because the 3 and 12 u divide
Answer: the answer is choice c which is 24 .
Step-by-step explanation: HOPE IT IS CORRECT .THANKS .
Darren is finding the equation in the form y = m x b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation? –34 –19 2 14.
The ratio of boys to girls at a camp is 4:5. If there are 75 girls, how many boys are there? I NEED AN ANSWER ASAP PLEASE
Answer:
60 boys
Step-by-step explanation:
To find how many boys, you need to find how many times more than 75 is than five. To do that, divide 75 by 5 and you'll get 15. Multiply 4 by 15 and you get 60 boys. (i'm guessing bc im in middle school lol)
The edge of a cube is (5x+2) mm long. What is its volume?
Answer:
(125x+8)cm^3
Step-by-step explanation:
Volume= (5x+2)^3 = (125x+8)cm^3
Hey!
Answer:
125x^3+ 150 x^2+ 60x +8.
Formula of the volume of the cube = v=a^3
Substitute:
v=(5x+2)^3
=125x^3+ 150 x^2+ 60x +8.
A 48°
B (6x−28)°
C (2x)°
Find the value of x. Then find the measures of angles B and C.
Enter your answers in the boxes.
x =
m∠B=
º
m∠C=
º
Answer:
x = 20, angle B = 92 and angle c = 40
Step-by-step explanation:
3 angles in a triangle adds up to 180, and since A is 48, we have B + C = 132
6x - 28 + 2x = 132
=> 8x - 28 = 132
=> 8x = 160 and x = 20
B = 6 x 20 - 28 = 92
C = 2 x 20 = 40
The hot cocoa stand uses 65 spoons each day. If the stand is open for 30 days, how many spoons are uses?
Answer:
1950
Step-by-step explanation:
i got to this by multiplying 30 and 65
1,950
Step-by-step explanation:
it's 65 x 30 which equals 1,950
Use the fact that sin 38 ≈ 0.6157 to solve m.
cos m ≈ 0.6157
what is the value of m?
Answer:
52°Step-by-step explanation:
We know that sine and cosine are equal when angles are complementary.
sin 38° = cos msin 38° = cos (90° - 38°) = cos 52°cos m = cos 52°m = 52°sin and cos are equal when their sum is 90°
So
cosm=0.6125=sin38cos(90-38)=sin38cos52=sin38m=52°