The graph shows the cost,c, in dollars of using a food-delivery service for w weeks which equation represents the cost of food-delivery service?
A c=1/60w
B w=60c
C c=60w
D c=60
show ur work plsssssssssssssss
Picture:
Answers
The equation for a straight line can be found if its slope and coordinate of the point it passes through is given. The equation for the given graph is c = 60w. The correct answer is option C.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given that,
The cost of food delivery is taken as c.
The number of weeks is w.
Since the graph given in the problem is a straight line, in order to find its equation its slope has to be found as follows,
From the graph, it is clear that at w = 2, c = 120.
Now, there are two points for the given straight line as (0, 0) and (2, 120).
Thus, the slope is given by (120 - 0) / (2 - 0) = 60
Then the equation for the straight line is,
(c - 0) / (w - 0) = 60
=> c = 60w
Hence, the equation of the given graph is c = 60w.
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Related Questions
find the average rate of change from x= -2 to x =1
Answers
We have the graph of a function of third grade and need to find the average rate of change between x=-2 and x=1.
We can see that:
[tex]\begin{gathered} \text{The rate of change is:} \\ \frac{dy}{dx} \\ \end{gathered}[/tex]So, the average between x=-2 and x=1 is:
[tex]undefined[/tex]Leo is 5 years older than Pat. In 10 years leo will be twice pat's present age. How old is leo
Answers
Answer:
20
Step-by-step explanation:
Pat is 15.
Leo is 5 years older(20)
Leo will be 30 in 10 years.
15 x 2 = 30
17the leading term is-6x² +The expression represents aterm ispolynomial withterms. The constantand the leading coefficient is
Answers
0. quadratic
,1. two
,2. 1/7
,3. -6x²
,4. -6
1) Examining this polynomial, we can tell that:
[tex]-6x^2+\frac{1}{7}[/tex]This expression represents a quadratic polynomial with two terms. The constant term is 1/7, the leading term is -6x², and the leading coefficient is -6
2) Note that a constant term is always a number without a variable, the leading term is the one with the highest exponent, and a coefficient is a number that accompanies the leading variable.
if m<10=77 ,m<7=47 and m<16=139, find the missing measure of m<2=?
Answers
Note that a and b are parallel lines with a transversal line of c.
<10 is congruent to <8
so :
<8 = 77
<2 and <8 are supplementary (sum of 180 degrees)
<2 + <8 = 180
<2 + 77 = 180
<2 = 103
The answer is :
<2 = 103 deg
The dot plot below shows 6 data points with the mean of 16What is the absolute deviation at 19?○3○4○7○8
Answers
we have that
The mean is 16
Find the difference between each data point and the mean
so
16-12=4
16-13=3
16-15=1
17-16=1
19-16=3
20-16=4
Find the average of these values
(4+3+1+1+3+4)/6
=16/6
=2.67
I need help with this question. Including the breakdown. Thank you
Answers
Let
x -------> the height of the tower
y -----> the height of the guy wire
we have that
x=y-3 ------> equation 1
y=9 m
substitute the value of y in equation 1
x=9-3
x=6 m
therefore
the height of the tower is 6 metersis 1,000 feet greater than 300 yards
Answers
hello
to solve this question, we have to know the the dimensions or
Evaluate the equation: -9w = -54
Answers
Solution:
Given the equation:
[tex]-9w=-54[/tex]To solve for the unknown (w), we divide both sides of the equation by the coefficient of w.
The coefficient of w is -9.
Thus,
[tex]\begin{gathered} -\frac{9w}{-9}=-\frac{54}{-9} \\ \Rightarrow w=6 \end{gathered}[/tex]Hence, the value of w is
[tex]6[/tex]Find the value of n.1 x 4 = n
Answers
n = 4
The value of n is 4
What number should be added to both sides of the following equation to solve for g?g - 18 1\3 = 2543 1\36 2\318 1\325 2\3
Answers
Answer
[tex]18\frac{1}{3}[/tex]Explanation
Given:
[tex]g-18\frac{1}{3}=25[/tex]What to find:
The number that should be added to both sides of the following equation to solve for g.
Solution:
To solve for g 18 1/3 should be added to both sides as shown below
[tex]\begin{gathered} g-18\frac{1}{3}=25 \\ \\ Add\text{ }18\frac{1}{3}\text{ }to\text{ }both\text{ }sides \\ \\ g-18\frac{1}{3}+18\frac{1}{3}=25+18\frac{1}{3} \\ \\ g=25+18\frac{1}{3} \end{gathered}[/tex]The answer is 18 1/3
a bike path is 8 miles. Max is 375% of the way to the end. How far is max on the path?
Answers
hello
the distance or length of the path is 8 miles.
Max is 375% of the way to the end. Let's find he distance of 375% on 8 miles
[tex]\begin{gathered} 375\text{ \% of 8} \\ \frac{375}{100}=\frac{x}{8} \\ \text{cross multiply both sides} \\ 100\times x=375\times8 \\ 100x=3000 \\ \frac{100x}{100}=\frac{3000}{100} \\ x=30 \end{gathered}[/tex]from the calculation above, Max is 30 miles away from the path
If w = 18, what is the value of 3w − 11?
(A) 307
(B) 65
(C) 43
(D) 10
Answers
Answer: 43 ==>
Step-by-step explanation: 3w − 11=3(18)-11=54-11=43 ==> C.
Given that,
w = 18
3w - 11 = ?
3(18) - 11
54 - 11
43
correct option is (c) 43
What are the coordinates of the y- intercept of this function y 6 -5 1 2
Answers
The coordinates of the y-intercept of the function can be obtained if we follow the steps below
Step 1: we can get the equation of the graph using the equation below
[tex]\frac{y_2-y_1}{x_2\text{ -}x_1}\text{ = }\frac{y\text{ -}y_1}{x\text{ -}x_1}[/tex]Step 2: Select two coordinates that will be substituted into the equation
Selecting the points
(-2, -6) and (-1, -5)
[tex]\frac{-5\text{ -(-6)}}{-1\text{ -(-2)}}\text{ =}\frac{y-(-6)}{x\text{ -(-2)}}[/tex][tex]\frac{1}{1}=\frac{y+6}{x+2}[/tex]Cross multiplying
y + 6 = x + 2
y = x + 2 - 6
y = x -4
The equation of the line is y = x - 4
The next step is to obtain the y-intercept which is obtained by substituting x = 0 into the equation of the line.
If x = 0
then y = 0 - 4
Hence y = -4
Therefore the coordinates of the y-intercept are (0, -4)
Evaluate the following numerical expressions.a. 2(5+(3)(2)+4)b. 2((5+3)(2+4))c. 2(5+3(2+4))Can the parentheses in any of these expressions be removed without changing the value the expression?
Answers
So,
We're going to evaluate each expression as follows:
Let's begin with a:
[tex]\begin{gathered} 2(5+(3)(2)+4) \\ 2(5+6+4) \\ 2(15) \\ =30 \end{gathered}[/tex]Now, b:
[tex]\begin{gathered} 2((5+3)(2+4)) \\ 2((8)(6)) \\ =2(48) \\ =96 \end{gathered}[/tex]And, finally, c:
[tex]\begin{gathered} 2(5+3(2+4)) \\ 2(5+3(6)) \\ 2(5+18) \\ 2(23) \\ =46 \end{gathered}[/tex]Notice that if the parentheses change, the results wouldn't be the same.
1 point 3 John ran 3 les in of an hour Marlon ran s 4 miles in of an hour How lar did Marlon run in one hour?
Answers
Answer:
6.2 miles per hour
Explanation:
Marlon ran 8 1/4 miles in 4/3 of an hour.
So, we first need to transform the mixed number 8 1/4 into a fraction using the following equation:
[tex]\begin{gathered} A\frac{b}{c}=\frac{A\cdot c+b}{c} \\ 8\frac{1}{4}=\frac{8\cdot4+1}{4}=\frac{32+1}{4}=\frac{33}{4} \end{gathered}[/tex]Then, we need to divide 33/4 miles by 4/3 hour as:
[tex]\begin{gathered} \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c} \\ \frac{\frac{33}{4}}{\frac{4}{3}}=\frac{33\cdot3}{4\cdot4}=\frac{99}{16}=6.2\text{ miles per hour} \end{gathered}[/tex]So, Marlon ran 6.2 miles per hour.
If Joey worked for himself and called his company “Joey’s Construction Company” and made $20,750 per year, how much would he pay per year in total Social Security and Medicare tax?
Answers
He would pay $3,154 in Social Security and Medicare tax
Explanation:Given that Joey worked for himself, he must pay doule the amount of Social Security and Medicare taxes to the government.
This makes 15.2% of $20,750
[tex]\begin{gathered} =\frac{15.2}{100}\times20750 \\ \\ =3154 \end{gathered}[/tex]He would pay $3,154 in total Social Security and Medicare tax
Question 5 of 10 Which of the segments below is a secant? B D O A. CD O B. AB O C. ÃO D. BC
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Diagram
secant = ?
Step 02:
We must analyze the diagra,m to find the solution.
Secant ===> straight line that cuts a curve in two or more parts
Segments:
CD: FALSE
AB: FALSE
AO: FALSE
BC: TRUE
The answer is:
Segment BC is a secant
If the equation 6X equals 84, what is the next step in the equation solving sequence?
Answers
Answer: We have to find the next solution step for the following equation:
[tex]6x=84[/tex]The solution steps are:
[tex]\begin{gathered} 6x=84 \\ \\ \text{ Divide both sides by 6} \\ \\ \frac{6x}{6}=\frac{84}{6}\Rightarrow x=\frac{84}{6}=14 \\ \\ x=14 \end{gathered}[/tex]I'll just send you the picture. there's too much to type
Answers
ANSWER
[tex]\text{ \$278.75}[/tex]EXPLANATION
We have that Sammi has $125.75 in her account and deposits (adds) $25.50 every month for 6 months.
To find how much is there after 6 months, first, find out how much she added to the account and then add that to the initial amount that was there.
After 6 months she deposited:
[tex]\begin{gathered} 6\cdot25.50 \\ \text{ \$153} \end{gathered}[/tex]Now, add that to the initial amount there:
[tex]\begin{gathered} 125.75+153 \\ \text{ \$278.75} \end{gathered}[/tex]That is the amount in the account at the end of 6 months.
Plot the inequality on the given number line. Toggle the "Dot" or "Open Dot" button to place the correct dot on your line before you submit your answer.x<0Write the inequality using interval notation. Use "oo" (two lower case o's) for∞.
Answers
Answer:
(b) (-oo, 0)
Explanation:
Given the inequality:
[tex]x<0[/tex](a)The inequality is plotted on the number line below:
Note: An open circle is used for the inequalities, < and >.
(b)The inequality written using the interval notation is:
[tex](-\infty,0)[/tex]20. You want to take your family on a two week vacation this summer, which is 5 months away The total cost for the vacation is $2,245. You work extra hours at your job at $11.25 per hour. Fifteen percent of your earnings go to taxes, and the rest goes toward the expenses for this vacation. Over next five months, what is the fewest number of extra hours per month you could work and still me enough money to take this vacation? A 35 ( C. 47 E.235 8.40 D. 200 AIS rregues stepl. In this ques we are given that guastotares family to go for at Vacation this summes need atat sum 15 Then, you need to hours at your sub this vacation
Answers
Assuming that all 5 months have 30 working days.
Let us assume that you need to do 'x' hours per month to get the extra money for vacation.
Given that overtime wage is $11.25 per hour, the wage (in $) for monthly overtime is obtained as,
[tex]\begin{gathered} \text{Monthly Overtime Wage}=\text{ Monthly overtime hours}\times\text{ Wage per hour} \\ \text{Monthly Overtime Wage}=x\times11.25 \\ \text{Monthly Overtime Wage}=11.25x \end{gathered}[/tex]Then the total amount (TA) earned in 5 months of overtime work is calculated as,
[tex]\begin{gathered} \text{ Total Amount}=\text{ Amount per month}\times\text{ No. of months} \\ \text{Total Amount}=11.25x\times5 \\ \text{Total Amount}=56.25x \end{gathered}[/tex]Given that the 15% of this amount earned goes for the tax, so the net amount earned is given by,
[tex]\begin{gathered} \text{Net Amount Earned}=(1-\frac{15}{100})\times56.25x \\ \text{Net Amount Earned}=(\frac{85}{100})\times56.25x \\ \text{Net Amount Earned}=47.8125x \end{gathered}[/tex]This net amount must be sufficient to cover the total cost of vacation $2245,
[tex]\begin{gathered} \text{ Net Amount Earned}=\text{ Expense on vacation} \\ 47.8125x=2245 \\ x=\frac{2245}{47.8125} \\ x=46.95 \\ x\approx47 \end{gathered}[/tex]Thus, you have to work 47 hours of overtime monthly to cover the cost of the vacation in 5 months.
Answer:
this guy is right
Step-by-step explanation:
2,-2,-6,-10,-14, ...how do I go about finding the explicit formula?
Answers
According to the given sequence, the difference is -4, because it's decreasing with that difference: 2-2 = -2; -2-4 = -6; and so on.
To find the explicit formula, we use the arithmetic sequence formula.
[tex]a_n=a_1+(n-1)d[/tex]Replacing all the given information, we have.
[tex]\begin{gathered} a_n=2+(n-1)\cdot(-4) \\ a_n=2-4n+4 \\ a_n=6-4n \end{gathered}[/tex]This explicit formula we can also express as
[tex]f(n)=6-4n[/tex]Find the terminal point on the unit circle determined by 4pi/3 radians
Answers
Given:
A terminal point on the unit circle determined by 4pi/3 radians
The unit circle has a radius = 1
the terminal point (x,y) will be calculated using the following formulas:
[tex]\begin{gathered} x=cos(\theta) \\ y=sin(\theta) \end{gathered}[/tex]Substitute θ = 4pi/3
[tex]\begin{gathered} x=cos(\frac{4\pi}{3})=-\frac{1}{2} \\ \\ y=sin(\frac{4\pi}{3})=-\frac{\sqrt{3}}{2} \end{gathered}[/tex]So, the answer will be:
[tex](x,y)=(-\frac{1}{2},-\frac{\sqrt{3}}{2})[/tex]I am having trouble trying to figure out letter B
Answers
The confidence level is [0.1883, 0.3866] and the 95% confidence interval for the cost is [0.25x 564.9, 0.25x1160.1] = [141.23, 290]
n = 80
a) p = 23/80 = 0.2875
% = 95
Standard error SE = √(p(1 - p)/n = √(0.2875(1 - 0.2875)/80)
z - score = 1.9599
Width of the confidence level = z x SE = 1.95996 x 0.05060 = 0.0991
Lower level of the confidence level = p - width = 0.2875 - 0.099177 = 0.1883
upper level of the confidence level = p + width = 0.2875 + 0.099177 = 0.3866778
The confidence level is [0.1883, 0.3866]
b) The 95% confidence level for the number of such customers = [0.1883 x 3000, 0.3866 x 3000] = [564.9, 1160.1]
The 95% confidence interval for the cost = [0.25x 564.9, 0.25x1160.1] = [141.23, 290]
Therefore, the confidence level is [0.1883, 0.3866] and the 95% confidence interval for the cost is [0.25x 564.9, 0.25x1160.1] = [141.23, 290]
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The sum of two numbers is at least 8, and the sum of one of the numbers and 3 times the second mumber isno more than 15.
Answers
As given by the question
There are given that the sum of the two numbers is at least 8.
Now,
Let the unknown numbers be x and y
Then,
If the sum of the two numbers is at least 8 then:
[tex]x+y\ge8[/tex]Similarly, the sum of one of the numbers and 3 times the second number is no more than 15
Then,
[tex]x+3y\leq15[/tex]Now,
From the both of the inequality:
[tex]\begin{gathered} x+y\ge8 \\ x+3y\leq15 \end{gathered}[/tex]Then, find the first and second nuber:
So,
[tex]\begin{gathered} x+y\ge8 \\ x\ge8-y\ldots(a) \end{gathered}[/tex]Then, Put the value of x into the second equation
Then,
[tex]\begin{gathered} x+3y\leq15 \\ 8-y+3y\leq15 \\ 8+2y\leq15 \\ 2y\leq15-8 \\ y\leq\frac{7}{2} \\ y\leq3.5 \end{gathered}[/tex]Then,
Put the value of y into the equation (a)
[tex]\begin{gathered} x\ge8-y \\ x\ge8-3.5 \\ x\ge4.5 \end{gathered}[/tex]Hence, the first number and second number is shown in below:
[tex]\begin{gathered} x\ge4.5 \\ y\leq3.5 \end{gathered}[/tex]The graph of the given result is shown below:
can you please help me before I get on error message and get kicked out
Answers
We have the following:
What we must do is calculate the total rate, that is, add all of them and then calculate each part, that is:
[tex]4+5+5+8+9+9=40[/tex]Now we calculate each angle like this
[tex]\begin{gathered} 720\cdot\frac{4}{40}=72 \\ 720\cdot\frac{5}{40}=90 \\ 720\cdot\frac{8}{40}=144 \\ 720\cdot\frac{9}{40}=162 \\ we\text{ add} \\ 72+90+90+144+162+162=720 \end{gathered}[/tex]then we can affirm that the smallest angle is 72 °
The height and weight of adults can be related by the equation y = 48.3x 127 where a is height in feet and y is weight in poundsWhat does the slope of the line represent?A. the number of pounds heavier an adult one foot taller would weighB. the height of an adult weighing zero poundsOC. the average number of pounds per foot tallD. the number of adults in the sampleReset SelectionviousNext
Answers
The slope of the line y = 48.3x - 127 represents the number of pounds heavier an adult one foot taller would weigh .
The given line is y = 48.3x - 127
So we can use this equation to find the weight of various people of different heights.
At x = 6 , y = 48.3 × 6 - 127 = 162.8 pounds
At x = 7 , y = 48.3 × 7 - 127 = 211.1 pounds
Difference of the two weights = 211.1 - 162.8 = 48.3
The slope of something like a line in the plane consisting of the x and y axes is typically denoted by the letter m. This slope is calculated by dividing the linear change in the y coordinate between two separate points on the line by the equivalent change in the x coordinate.
Hence the slope which is 48.3 represents the difference in height of people who are a feet taller.
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Shaan and anita are married and have two children, ages 3 and 9. anita is a "nonworking" spouse who devotes all of her time to household activities. estimate how much life insurance shaan and anita should carry.
Answers
The cost of life insurance that shaan and anita should carry would be = $150,000
What is life insurance policy?A life insurance policy is defined as the type of insurance an individual contracts so as to enable their beneficiaries a stipulated amount of money after the individual dies.
The number of children owned by shaan and anita = 2
The age of the youngest child = 3
The age of the eldest child = 9
The insurance policy need = Number of years until the youngest child is 18 × $10,000
The number of years until the youngest child is 18 = 18-3= 15
15× 10,000 = $150,000
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A plant is already 42 centimeters tall, and it will grow one centimeter every month.Let H be the plant's height (in centimeters) after M months.Write an equation relating H to M. Then use this equation to find the plant's helght after 35 months.Equation:D-ORХ5?Plant's height after 35 months: centimeters
Answers
write the height of the plant after m months as a linear function in which the y-intercept is the plant's initial height (42 cm) and the slope is the growth the plant experiences after each month (1 cm)
[tex]H=M+42[/tex]then, after 35 months
[tex]\begin{gathered} H=35+42 \\ H=77 \end{gathered}[/tex]The plant's height after 35 months is 77 cm.
Solve the equation. – 4y - 37 = 6y + 13 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. y= (Type an integer or a simplified fraction.) B. The solution is all real numbers. C./ There is no solution.
Answers
solve for y:
add 4y to both sides:
[tex]\begin{gathered} -4y-37+4y=6y+13+4y \\ -37=10y+13 \end{gathered}[/tex]Subtract 13 from both sides:
[tex]\begin{gathered} -37-13=10y+13-13 \\ -50=10y \end{gathered}[/tex]Divide both sides by 10:
[tex]\begin{gathered} \frac{10y}{10}=-\frac{50}{10} \\ y=-5 \end{gathered}[/tex]