4. A store offers packing and mailing services to
customers. If a customer ships a box
weighing 4 pounds, it would cost $15. If a
customer ships a box weighing 8 pounds, it
would cost $23. Identify the following
characteristics:
Answers
Answer/Step-by-step explanation:
In the situation explained in the question, the cost of shipping is dependent on the weight of the box to be shipped.
For a box of 4 pounds, total shopping cost (x) => $15 (y)
For a box of 8 pounds (x), total shopping cost => $23 (y)
Therefore:
a. The input is weight of box
b. The output is cost of shipping
c. Using the 2 given pair (4, 15) and (8, 23), slope is calculate using the formula below:
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{23 - 15}{8 - 4} = \frac{8}{4} = 2 [/tex]
Slope = 2
d. The slope represents the amount charged per pound of weight. That is, $2 per pound.
e. Let's derive an equation to represent the situation using the slope-intercept formula given as y = mx + b
y = total cost of shipping
x = weight of box
m = average cost per pound = slope
b = y-intercept = flat fee charged for shipping before adding the cost of weight per pound
Substitute x = 4, y = 15, m = 2 into y = mx + b, and solve for b
15 = 2(4) + b
15 = 8 + b
15 - 8 = b
7 = b
b = 7
The equation would be y = 2x + 7
The y-intercept = 7
f. The y-intercept, 7, is the starting amount, that is the flat fee charged before the cost per pound of weight of a box is added to give total cost of shipping.
Answer:
this question has already been answered so im just swooping in to grab the points but the other guy answered so mark him brainliest
Step-by-step explanation:
Related Questions
After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
0.04 percent
2.0 percent
4.0 percent
37.3 percent
Answers
Answer:
It is C. I think
Step-by-step explanation:
A. will just make the investment smaller, not bigger, so not A. It is not B. because it does not give us the result we want. It's not D. because it is too high of an answer. I think it's C. I hope this helps, and I hope it's not wrong, but I do not think it is.
Solve -3 1/2 = 1/2 x + 1/2 x + x.
Answers
Answer:if you are solving for x it would be x=-7/4 or -1 3/4
Step-by-step explanation:
is 5:4 equivalent to 4 and 30
Answers
Answer: No
Step-by-step explanation:
The only two equivalent ratios to 5:4 are 8:10 and 12:15.
Can someone please help me asap ill mark brainlist!!!
Answers
Answer:
$6.90 would be the answer
Step-by-step explanation:
114.98 * .06
6.90
Hope that helped
What is the equation of the line x–3y=18in slope-intercept form?
Answers
Answer:
Y=1/3x-6
Step-by-step explanation:
Answer:
Subtract x from both sides.
-3y = -x + 18
Divide everything by -3.
y = -1/3 - 6
^There ya go. ^
How many solutions does the equation have?
2x + 5 = 4x + 1
one solution
no solution
infinite solutions
Answers
Answer:
The answer is x=2, so one solution
Answer:
one solution
Step-by-step explanation:
The two lines only intersect one time.
Find the volume of the solid formed By revolving the region bounded By the graphs of y=x^3, y=1, and x=2 about the line x-axis
Answers
Answer:
the y axis will be 1 and the x axis will be 8
I know that the y axis will be 1 because y=1 and I know that the x axis will be 8 because 2 to cubed will be 8 because when you multiply 2 by 2 you get 4 and when you multiply 4 by 2 the answer will be 8 so the axis will be (1,8)
Step-by-step explanation:
PLEASE HELP! URGENT!
1: Write an equation of the line that passes through the points (−2,−7) and (0,−4).
2:Write an equation of a line that passes through the point (2,1) and is perpendicular to the line y=13x+2.
3:You have an initial amount of $55 in a savings account and you deposit an equal amount into your account each week. After 6 weeks the account holds $133. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answers
Answer:
1: y=(3x/2)-4 2 :y=(-x/13)+(15/13) 3: y = 13x+55
Step-by-step explanation:
1:
Begin by finding slope
m = (y2-1)/(x2-1)
(-7-(-4)/(-2-0) = 3/2
next use point slope form
y-y1 = m(x-x1) (you can pick any point to use, I will use (0,-4)
y-(-4) = 3/2(x-0)
y+4 = 3x/2
y=(3x/2)-4
2:
The slope of the line y=13x+2 is 13
Take the opposite sign and reciprocal of 13 to get the slope of the line perpendicular; in this case it's -1/13
Next, just like in problem 1, use point slope form.
y-1 = (-1/13)(x-2)
y-1 = (-x/13)+(2/13) (convert 1 to 13/13 for like terms and bring over to the left side)
y=(-x/13)+(15/13)
3:
the intercept will be $55 since it's the initial amount
you know that you deposit some amount every week so set this up as an equation
$133 = m(6)+$55 (the amount deposited every week times 6 +the initial $55 will equal $133)
solving for m gets you $13
so the equation is y = 13x+55
plug in 6 for x to check; 13x6 + 55 = 133
hope this helps
prove: sinx tanx + sinx/tanx = 1/cosx
Answers
Answer:
Look at step-by-step explanation.
Step-by-step explanation:
First write everything in terms of sin and cos:
(sinx)(sinx/cosx) + (sinx)/(sinx/cosx) = (1/cosx)
Then simplify the expression where you can:
(sin^2)/(cosx) + (cosx) = (1/cosx)
Next find a common denominator and add the two numbers on the left side of the equation:
(sin^2)/(cosx) + (cos^2x)/(cos^2x) = (1/cosx)
((sin2^x)+(cos2^x)/(cosx)) = (1/cos)
Finally, use the identity, sin2^x + cos2^x = 1, to simply to numerator:
(1/cosx) = (1/cosx)
what is 35/9 as a proper fraction
Answers
Answer:
3 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
what is the slope of the following graph?
Answers
Answer: 4
Step-by-step explanation:
from point (0,-4), it goes up 4 and over 1, ending at point (1,0)
Answer:
4
Step-by-step explanation:
count the amount of spaces(or lines) to where the second point is(4) and the go right (1) 4/1 simplified is 4.
plz mark brainiest =)
PLS HELP THIS IS VERY IMPORTANT
Answers
Answer:
22 degrees
Step-by-step explanation:
The total degree of a triangle is 180 degrees.
we are given two degrees already; 90 degrees (from the right angle sign) and 68 degrees from the problem. If we create an equation to reflect this we can find the missing angle:
180 = 90 + 68 + x
180 = 158 + x
x = 22
Step-by-step explanation:
<TSU=68
<STU=90
<SUT=
90+68=158
180-158=22
If the only zeros of a degree four polynomial function, f, are (-3, 0), (1, 0), and (3, 0), which statement(s) is always true about this function? *
5 points
Captionless Image
I only
I and III only
II and III only
I, II, and III
Answers
Answer:
It’s c
Step-by-step explanation:
Suppose y varies directly with x and y =75 when x = 6. What is the value of y when x = 5?
Answers
Answer:
62.5
Step-by-step explanation:
y∞x
y=kx( where k is the constant)
75=6k
75÷6 =k
12.5=k
therefore the relationship between k,x and y is y=12.5x
y=12.5×5
y=62.5
5x+21-7x=-3+3+x-4x+6
Answers
If A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9} and C = {3, 5, 6, 7, 8, 9}, What is the intersection of the set A and set C? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2, 3, 4, 5, 6, 7, 9} {1, 2, 3, 4, 5, 6, 7, 9} {3, 5, 6} {3, 5, 6} {1, 2, 3, 5}
Answers
Answer:
[tex]A\,\cap\,C = \{3,5,6\}[/tex]
Step-by-step explanation:
From Set Theory we know that intersection is a binary operation between two sets consisting in labeling the common elements of both sets. If [tex]A=\{1,2,3,4,5,6\}[/tex] and [tex]C =\{3,5,6,7,8,9\}[/tex], then [tex]A\,\cap\,C = \{3,5,6\}[/tex].
. Write the equation of the line that contains the point
(4,7) and is parallel to x= 3.
Answers
Answer:
y=3x-5
Step-by-step explanation:
Use point slope form. y-7= 3(x-4)
Simplify: y-7= 3x-12
Simplify more: y=3x-5
Hope this helps!
how are the particles in a solid piece of ice organized
Answers
Answer:
The particles in most solids are closely packed together and do not move around. ... Ice is different from most solids because its molecules are not packed as closely together as they are in liquid water. This means ice takes up a little more space than the same amount of liquid water. This is why ice floats.
Mr. Romito is a bus driver. He drove the Maple Hills Senior Citizen Group on a 2-day motor trip
through upstate New York. On the first day, he drove 433.4 miles. On the second day, he drove
347.9 miles. How many more miles did he drive the first day than the second day?
Answers
Answer:
85.5 miles more than the first day
Step-by-step explanation:
433.4-347.9=85.5 miles
This is the difference in miles between the first in second day. Also known as how much more miles driven for the first day then the second day.
Find each unit rate. Round your answer to the nearest hundredth.
2.
192 students in 4 buses
in each bus
1. type 800 words in 12 minutes
words per minute
3. 357 miles in 5 hours
miles per hour
5. a 10-1b bag of cherries for $33.49
per lb
4. 8 ducks for $23.60
S
per duck
6. 12 chickens lay 30 eggs
cges per chicken
7. Earn $134 in 8 hours
per hour
8. 3 pizzas for $19.99
each
9. 3500 calories for 6 servings of pie
calories per serving
$37.29 for 2 pairs of jeans.
cach
10. 351 chairs in 27 rows
chairs in each row
12
$37.29 for 2 pairs of ducks
per duck
13
24 senior citizens in 12 RVS
in each RV
14. 7 penguins for S188.88
cach
Answers
1. 35x
3. 60mph
5. 10.33
4. 13.05$
6.5
7. 34
8.14.09
9.1200
10.53
12. 67.0
13. 6.21
14. 32
What is the expression in radical form?
(4x^3y^2)^3/10
Enter your answer in simplest form in the box
Answers
Answer:
32x
Step-by-step explanation:
Zoey made 9 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4-cup servings. Thirteen people are going on the camping trip. Can Zoey make enough 3/4-cup servings so that each person on the trip has one serving?
Answers
Answer:
Zoey cannot make enough 3/4-cup servings so that each person on the trip has one serving.
Step-by-step explanation:
Zoey made 9 1/2 cups of trail mix for a camping trip.
She wants to divide the trail mix into 3/4-cup servings.
Thirteen people are going on the camping trip.
This means :
1 person = 3/4 cup servings
13 people = x
Cross Multiply
13× 3/4
= 39/4
= 9 3/4 cup
So for Zoey to be able to serve 13 people the trail mix in 3/4 cup servings, she need 9 3/4 cups of the trail mix
From the she made 9 1/2 cups of the trail mix.
Hence, Zoey cannot make enough 3/4-cup servings so that each person on the trip has one serving.
the following items were bought on sale complete the missing information in the table
Answers
Is the angle between side AE and DE, angle AED or just angle E?
URGENT!!!
Answers
Answer:
just angle E
it could have 3 different names tho
1 ADE
2 CEB
3 E
so it could be either of them
is | x - 5 | < 22 a intersection or union?
Answers
Answer:
union
Step-by-step explanation:
because yes
Find f(1/2) for the function:
f(x)=-x^2+x-3
Answers
Answer:
this i think
Step-by-step explanation:
159.8195 as an exponet please helppppp
Answers
Answer:
159.8195
1.59x10^2
Step-by-step explanation:
I really need help!!My teacher didn’t explain this!
Answers
Hope this helps:)
Answer:
The answer is A -3 is greater than y and y is less than 3
Step-by-step explanation:
I'm not really sure how to solve these either, but if you type the equations into desmos graphing calculator just make sure the highlighted area in desmos is the same as the points on your question and it will be correct.
3 TIMES WHAT = TO 90
Answers
Answer:
30 hope this is right yesssir
Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the
number of miles run, y.
(1, 2.5), (2, 4.2), (4,5.6), (6, 7), (8, 8.1), (10, 11)
Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the
nearest tenth of a mile.
miles
O
day 3
Answers
Answer:
4.6
Step-by-step explanation:
The distance run on day 3 is about 5.9 miles.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
The data points given are:
(1,2.5), (2,4.2), (4.5,6), (6,7), (8,8.1), (10,11)
Note that the growth seems to be linear, therefore, find a linear equation for the data.
Use (1,2.5) and (2,4.2) to find the slope of the line:
m = (4.2-2.5)/(2-1)
m = 1.7
The equation of the line with slope m = 1.7 and passes through point (1, 2.5) is:
y - 2.5 = 1.7(x - 1)
y = 1.7x - 1.7 + 2.5
y = 1.7x + 0.8
Substitute x = 3 into the above equation:
y = 1.7(3) + 0.8
y = 5.9
Hence, the distance run on day 3 is about 5.9 miles.
Learn more about the point-slope form of a line:
https://brainly.com/question/29503162
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