Answer:
Answer: $75 Equation: (15×2)+3(10-1)+(3×6)=75
Step-by-step explanation:
The manager at a restaurant found that the cost to produce 150 cups of coffee is $21, while the cost to produce 300 cups of coffee is $36. assume the relationship between the cost y to produce x cups of coffee is linear.
a.) write a linear equation that expresses the cost,y, in terms of the number of cups of coffee,x.
b.) how many cups of coffee are produced if the cost of production is $56?
Answer:
[tex]y = \frac{1}{10}x + 6[/tex]
500 cups cost $56
Step-by-step explanation:
Given
[tex]x = cups[/tex]
[tex]y = cost[/tex]
[tex](x_1,y_1) = (150,21)[/tex]
[tex](x_2,y_2) = (300,36)[/tex]
Solving (a): Linear Equation
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute right values
[tex]m = \frac{36 - 21}{300- 150}[/tex]
[tex]m = \frac{15}{150}[/tex]
[tex]m = \frac{1}{10}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
Where
[tex](x_1,y_1) = (150,21)[/tex]
[tex]m = \frac{1}{10}[/tex]
This gives:
[tex]y = \frac{1}{10}(x - 150) + 21[/tex]
Open bracket
[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]
[tex]y = \frac{1}{10}x - 15 + 21[/tex]
[tex]y = \frac{1}{10}x + 6[/tex]
Solving (b): Cups of coffees for $56
Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]
[tex]56 = \frac{1}{10}x + 6[/tex]
Subtract 6 from both sides
[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]
[tex]50 = \frac{1}{10}x[/tex]
Multiply both sides by 10
[tex]10 * 50 = \frac{1}{10}x * 10[/tex]
[tex]10 * 50 = x[/tex]
[tex]500 = x[/tex]
[tex]x = 500[/tex]
Hence: 500 cups cost $56
Diane is starting a business selling handmade necklaces. She has decided to invest an initial
amount of $203 for advertising, and materials cost $2 for each necklace she makes. Diane
can sell her creations for $31 per necklace. Once she makes and sells a certain number of
necklaces, she will break even, with identical expenses and sales. What would the total
expenses and sales be then? How many necklaces would that take?
Pls help me this is 7th grade (ADVANCED)
Answer: We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,
X°+145°=180° because there supplementary angles.
X°=35° because 180-145=35°.
Katie works a
2 hours lunch shift. She earns $4 in tips. She earns a total of $32, including
her tips. How much does she get paid per hour? h = Katie's hourly pay
Choose the equation that matches this real word problem
1) 2h+4=32
2) 2h+32=4
3) 4h+2=32
4) 32h+2=4
Answer:
2. or 3 one ejei2iieieieo2ow9w
Answer:
1
Step-by-step explanation:
cause she works 2 hours then her hour pay plus the $4 tip and you get 32
Pulling a red card from a deck of cards, replacing it, and pulling another red card.
Answer:
Uh queen or hearts or diamonds?
Step-by-step explanation:
An artist wants to make a particular teal color paint by mixing a 75% blue hue and 25% yellow hue. He mixes a blue hue that has 85% pure blue pigment and a yellow hue that has 60% of pure yellow pigment. What is the percent of pure pigment that is in the resulting teal color paint?
so billy has 10 apples if he subtracts it by 6 then times it by 3 then divides it by 2 what does he get?
Answer:
6
Step-by-step explanation:
3 × (10 - 6) ÷ 2 =?
The strategy that we are using here is PEMDAS:
First, you subtract 6 from 10 which is 4. 10 - 6 =4
Next, you multiply 4 by 3. 4 × 3 = 12
Then, you divide 12 by 2. 12 ÷ 2 = 6
Your answer is 6.
Your welcome. Showed my work below.
plss answer this because i dont known ehh
Pleasere answerrrrrrr
Answer: the 2nd one
Step-by-step explanation: because i said so ur the dum one
PLS HELP WILL GIVE BRAINLIEST AND 50 POINTS IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:
The title of the graph is Tennis Matches. On the x-axis, the label is Number of Months of Practice. On the y-axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x-axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)
First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).
For part B you can use the following:
y = m x + b
y = (7/4) * 13 + 3
26 Is your answer
Goodluck
:):
HELPPSKEJSSJS THANKSSSS
Answer:
-7
Step-by-step explanation:
Find X. Round to the nearest tenth if necessary
Answer:
3.2 probably I don't really know
Step-by-step explanation:
someone please help this person
What is the range of the function f(x)= 2 + 4 when the domain is {-2, 0, 3}?
A {4.25, 5, 12}
B. {0, 4, 10}
C. {4.25, 4, 12}
D. All Real Numbers
The domain is the possible input values "x" .. in this case [-4, -2, 0, 2, 4]
The range are the possible output values of f(x)
We need to solve f(x) = 3.2x for each value in our domain
f(-4) = 3.2(-4) = -12.8
f(-2) = 3.2(-2) = -6.4
f(0) = 3.2(0) = 0
f(2) = 3.2(2) = 6.4
f(4) = 3.2(4) = 12.8
In the slope 3/7, the 7 indicates to
A. Fall 7 units
B. Rise 7 units
C. run 7 units
Answer:
the answer is A
Step-by-step explanation:
7 + 79x79x= − 42 Solve this within 5 minutes !
how many miles per gallon does the car get
Answer:
25 miles for 1 gallon
Step-by-step explanation:
Looking at the graph, for 1 gallon of gas, is about 25 miles. For 2 gallons, it is 50 miles. For 3 gallons, it is 75 miles. So based on the graph and the pattern, we can assume 1 gallon of gas will take the car 25 miles.
PLS HELP NEEDED ASAP GIVING BRAINLESS
Raj is 3 inches taller than Howard. Let h represent Howard’s height. Write an algebraic expression to represent Raj’s height.
Answer:
h + 3
Step-by-step explanation:
Since Raj is 3 inches taller than Howard (h), Raj would be h + 3 inches taller than Raj, giving you your answer.
Answer:
h + 3
Step-by-step explanation:
h + 3
3 = they are 3 inches TALLER which means you need to add 3
h = Howards height
So all you would need to do is add Howards age by 3, and you will get Raj's height. They said that " Raj is 3 inches taller than Howard", so that means when you get Howard (h) you would need to add it by 3 (3 inches taller), and you will be able to get Raj's height.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Write the equation of a line in Slope-Intercept Form that has a slope of -3 and a y-intercept of 8.
Answer:
y=-3x+8
Step-by-step explanation:
Slope intercept is as follows: y=mx+b
m is the slope so replace the m with -3
y=-3x+b
b is the y intercept, so replace the b with 8 (keep in mind that had the y-intercept been negative, we would have subtracted)
This then gives you
Y=-3x+8In the first week of August, there were 1,060 people at an amusement park. In the second week, there was a 20% decrease in attendance. The park had estimated that 1,500 people would attend the 2nd week. What is the approximate percent error of their estimate?
Answer:
solution
1060/100=10.6
20x10.6=212
1060-212=848
1500-848=652
(652/848)x100=76.886%
Your friend needs your help. His parents have told him that it is time for him to start paying for his own cell phone. After completing some research on the internet, you have narrowed down his options. Option 1 charges $0.30 for each cell phone call and $25 for unlimited text messaging. Option 2 charges a flat rate of $40.
Which plan is the best option?
Answer:
For less than 50 calls, option 1 is the best, while for more than 50 calls, option 2 is the best.
Step-by-step explanation:
Option 1:
For n calls, the cost is given by:
[tex]C_{1}(n) = 25 + 0.3n[/tex]
Option 2:
The cost is flat of 40, so [tex]C_{2}(n) = 40[/tex]
Which plan is the best option?
Depends on the number of calls, as for a high number, [tex]C_1[/tex] will be higher than [tex]C_2[/tex]. We have to find this number. So
[tex]C_{1}(n) > C_{2}(n)[/tex]
[tex]25 + 0.3n > 40[/tex]
[tex]0.3n > 15[/tex]
[tex]n > \frac{15}{0.3}[/tex]
[tex]n > 50[/tex]
This means that for less than 50 calls, option 1 is the best, while for more than 50 calls, option 2 is the best.
Which equation has a slope of -5/2 and a y-intercept of -2
Answer:
Step-by-step explanation:
slope-intercept equation for line of slope -5/2 and y-intercept -2:
y = (-5/2)x-2
put into standard form:
(5/2)x + y = -2
5x + 2y = -4
Answer:
B. -5x-2y=4
Step-by-step explanation:
if im wrong sorry have a good day
Can anyone help plz and thx
(GIVING BRAINLIYEST)
im in 6th grade so please write it simple
8. what is the volume of these 5 objects
Answer:
1,a. 224in
b. 240in
2,144ft
3,it is kind of hard I well try it on common if I can
Find the degree of the monomial.
1/3x^5y
Answer:
6
Step-by-step explanation:
If you roll a number cube 600 times, how many times do you expect to roll a number greater than 4?
Answer:
If it was a 6 number cube the answer would be 200
Step-by-step explanation:
Answer:
200, hope this helped.....
I need help on this, anything will help!
Answer:
for the first box it would be pairs
1,5
2,8
3,11
4,14
5,17
for the second box it would be pairs
1,2
2,5
3,8
4,11
5,14
Step-by-step explanation:
Mary bought a 2 pound bag of dog food. Her dog ate 3/6 pound on Monday and 2/6 pound on Tuesday. How many pounds of dog food remain in the bag? (work it out)
Answer:
1-1/6
Step-by-step explanation:
3/6+2/6=5/6
This is out of one pound
So there is 7/6 pounds left
Or 1-1/6
What ordered pair would be located 5 units to the right on the x-axis?
Write answer (x,y):
10
9
8
7
6
5
1
>X
0 1 2 3 4 5 6 7 8 9 10
Answer:
(5, 0)
Step-by-step explanation:
The ordered pair located 5 units to the right on the x axis is (5, 0) which indicates the x-location first (x = 5) and the y-location in the second coordinate (y = 0)
Which of the following graphs represents the solution to the following system
of inequalities?
3x + 4y <12
2x - y24
Answer:
I am pretty sure it is most likely answer D.
Step-by-step explanation:
Hope this helps! Have a great day and good luck!
