Answer:
The piece-wise function is;
[tex]f\left (x \right ) = \begin{cases} \$ 45 \times x & \text{ if } x \leq 3 \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}[/tex]
Step-by-step explanation:
The flat rate for renting the car = $35 per day
The amount charged as insurance fee per day for renting the car for 3 days or less = $10
The insurance fee charged per day when the car is rented for more than 3 days = $5
Let the number of days = x
Therefore, we have;
For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x
For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x
Therefore;
The charge rate for renting the car for less than or equal to 3 days = 45·x
The charge rate for renting the car for more than 3 days = 40·x
The piece-wise function can be presented as follows;
[tex]f\left (x \right ) = \begin{cases} \$ 45 \times x & \text{ if } x \leq 3 \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}[/tex]
Separate 46 into 2 parts so that 1 part is 1 more than twice as much as the first part. Find each part. show work
Answer:
x=31
y=15
Step-by-step explanation:
let x and y be the 2 part
x+y=46
x-2y=1 ⇒ x=1+2y
substitute :
1+2y+y=46
3y=46-1
3y=45 ⇒ y=45/3=15
x-2y=1
x-2(15)=1 ⇒ x=1+30 ⇒x=31
x= 2 times y(15)+1
y=15
31+15=46
Katie is working on a blueprint for a fence she is designing. She will need to construct parallel lines to ensure that the second slat is parallel to the first. Which step will Katie need to do first to ensure that the second slat is parallel to the first slat in the diagram below? a line Draw a second line using a straightedge so that it intersects the first. Draw a second line using a straightedge so that it is parallel to the first. Create two arcs above the line using a compass. Create arcs above and below the line using a compass.
Answer: draw a seconded line using a straightedge so that it intersects the first
Step-by-step explanation:
In order to ensure that the second slat is parallel to the first slat, Katie should Draw a second line using a straightedge so that it intersects the first.
How can Katie make construct a second parallel slat?Katie should use a straightedge tool to draw a second line on the diagram such that this line intersects with the first line.
This will then allow her to draw a second slate such that it is parallel to the first slat based on the dimensions provided by the second line.
Find out more on constructing parallel lines at https://brainly.com/question/13154179.
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which is an equation of the line passing through ( -2,3) and perpendicular to the line 5x-y=12
Answer:
y = -1/5x + 2.6
Step-by-step explanation:
Put the equation into slope intercept form:
5x - y = 12
-y = -5x + 12
y = 5x - 12
The slope of a perpendicular line will be the opposite reciprocal.
So, the slope of the new line will be -1/5
Then, plug this slope and the given point into the equation y = mx + b to find b
y = mx + b
3 = -1/5(-2) + b
3 = 0.4 + b
2.6 = b
So, the equation will be y = -1/5x + 2.6
Answer:
x + 5y = 13
Step-by-step explanation:
When the equation of the line is given in the form ...
ax -by = c
The perpendicular line can be written in the form ...
bx +ay = constant
where "constant" is found by using the given point values for x and y.
Here, your equation will be ...
x +5y = (-2) +5(3) = 13 . . . . for point (-2, 3)
The perpendicular line through (-2, 3) is x +5y = 13.
After a series of rainy days, a meteorologist wants to compare the average daily rainfall over the past week between two cities. The daily rainfall totals, in inches, for both cities are given below.
City A = 1.6, 3.8, 2.2, 0.4, 3.4, 2.6, 1.5
City B = 1.2, 4.5, 0.9, 3.6, 2.1, 1.1, 1.3
Which of the following statements are true regarding the data sets above?
I. The mean rainfall of city A is greater than the mean rainfall of city B.
II. The median rainfall of city B is half the median rainfall of city A.
III. The range of rainfall amounts for city A is greater than the range of rainfall amounts for city B.
IV. The median rainfall is less than the mean rainfall for both cities.
II and III
I and III
I and IV
II and IV
Answer:
I and IV
Step-by-step explanation:
Answer:
I and IV
Step-by-step explanation:
In order to compare the two data sets with the given statements, find the mean, median, and range for each data set.
First, to compare the mean rainfall of the two cities, find the average of each city's inches of rainfall. To find the average, add up the data points and divide by the total number of points, which is 7.
Since the mean of city A is 2.21 and the mean of city B is 2.1, the mean rainfall of city A is greater than the mean rainfall of city B.
Next, determine the median rainfall for each city. To find the median of the data sets, list the data in order of least to greatest and find the middle term.
Hence, the median of city A is 2.2 and the median of city B is 1.3, so the median rainfall of city B is not half the median rainfall of city A.
In order to compare the ranges of rainfall, find the difference between the minimum and the maximum rainfall amounts for each city.
So, the range of rainfall amounts for city A is less than the range of rainfall amounts for city B.
Therefore, the statements which are true regarding the given data sets are I and IV.
Need help, please I can’t get these wrong!
Answer:
1: 119 2: 61 3: 61 4: 119 5: 119 6: 61 7: 61
Step-by-step explanation:
Since we know that m & n are parallel we can prove which angles are congruent to angle 8 and which are supplementary
5: 119 (vertical to angle 8)
1: 119 (corresponding angles theorem
2: 61 (linear pair)
3: 61 (vertical to 2)
4: 119 (vertical to 1)
6: 61 (same sided interior angles theorem)
7: 61 (corresponding)
Answer:
This might help u.....
Samuel worked at a beach over the summer. He worked 6 hours a day, 4 days a week. He earned $7.50 per hour. How much money did he make in one week? He worked for 8 weeks over the summer. How much did he make in all this summer?
Answer:
Total earning in the summer = $1440
Step-by-step explanation:
Earning per hour for Samuel = $7.50
No. of hours worked in a day = 6
Earning for a day = Earning per hour for Samuel *No. of hours worked in a day
Earning for a day = $7.50 *6 = $45
___________________________________________________
No of days worked in a week by Samuel = 4
Earning for week = Earning for a day *No of days worked in a week by Samuel
Earning for week = $45*4 = $180
_____________________________________________________
No. of weeks worked in summer = 8
Total earning in the summer = Earning for week *No. of weeks worked in summer
Total earning in the summer = $180*8 = $1440 (Answer)
Jenae works at a clothing store and gets a bonus of $10 a month, plus $0.50 every time she sells the item of the month.Every time a customer compliments her service to the manager, she gets a $2 bonus.If Jenae sold the item of the month 17 times and received 2 customer compliments, what will her bonus be this month? *
Answer:
$22.50
Step-by-step explanation:
Let's write what we know.
$10 a month bonus
+ $0.50 / per item of the month
$2 per compliment
We can write an equation:
T = Total bonus for the month
i = number of item of the month sales
c = number of compliments
T = $10 + $0.50i + $2c
i = 17
c = 2
Plug in the values:
T = $10 + $0.50i + $2c
T = $10 + $0.50( 17 )+ $2( 2 )
T = $10 + $8.50 + 4
T = $22.50
Her bonus for this month is $22.50
Jenae bonus for this month is $22.50.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that Jenae works at a clothing store and gets a bonus of $10 a month, plus $0.50 every time she sells the item of the month.
$10 a month bonus + $0.50 / per item of the month
$2 per compliment
We can write an equation;
T = Total bonus for the month
i = number of item of the month sales
c = number of compliments
T = $10 + $0.50i + $2c
i = 17
c = 2
Plug in the values;
T = $10 + $0.50i + $2c
T = $10 + $0.50( 17 )+ $2( 2 )
T = $10 + $8.50 + 4
T = $22.50
Hence, Jenae bonus for this month is $22.50.
Learn more about equations here;
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can someone tell me whats1+1
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
You have one orange and your friend gives you another, then you will have 2.
Hope this helps ;) ❤❤❤
Part C Imagine that the recipe is doubled and that 4 cups of sugar are used. Use
unit rate in A to find how much fout is needed if the recipe is made with4capslof. 1.0
sugar. Show your work.
Answer:
coordinate plane
Step-by-step explanation:
1.true or false :The vertical axis is called the y-axis-
A leather jacket was originally $129.99.
It is marked down to $79.99.
What percent discount is there?
amount saved = 129.99 - 79.99 = 50 dollars
Divide this over the original amount (129.99) to get
50/129.99 = 0.3846449726902 approximately
This rounds to 0.3846 and converts to 38.46% after you move the decimal point over to the right 2 spots.
The discount is roughly 38.46%Answer: 61.5% Or 62%
Step-by-step explanation:
79.99/129.99= .61535502730979
Move the decimal two times to the left to get 61.5%
If you round it to the nearest decimal you get 62%
Part 1: Explain, using complete sentences, the Transitive Property of Equality in geometric terms.
Part 2: Provide an example of the Transitive Property of Equality using segments or angles.
Answer:
Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.
Mathematically, the transitive property can be written as follows;
When X = Y, and Y = Z, then also X = Z
Part 2: The transitive property of equality can be represented using angles as follows
Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.
Step-by-step explanation:
Suppose EG = 3, EV = 8, A F= 7, mebg = 19, megf = 28, and mcae= 51. Find each value.
Answer:
29) EF is 3
30) AG = 11
31) AD = 4
32) m∠EFG 28°
33) m∠CAF = 32°
34) DF = 3
Step-by-step explanation:
29) EF is given as being congruent to EG, therefore, EF = EG = 3
30) AE = EB = 8 Given
AG = AE + EG Segment addition postulate
AG = AE + EG = EB + EG = 8 + 3 = 11 Transitive property
31) m∠EAD = m∠EBG = 19° Given
m∠DFG + m∠EGF + m∠EAD = 180° Sum of angles of a triangle
∴m∠DFG = 180° - (m∠EGF + m∠EAD) = 180° - (28° + 19°) = 133°
A F = 7 Given
DF = EG = 3 Given
AD = A F - DF = 7 - 3 = 4 From segment addition postulate
32) m∠EFG = m∠EGF = 28° Given
33) m∠CAE = 51° Given
m∠CAE = m∠CAF + m∠EAD Angle addition postulate
∴ 51° = m∠CAF + 19°
m∠CAF = 51° - 19° = 32° Subtraction of angles
m∠CAF = 32°
34) DF = EG = 3 Given.
*PLEASE ANSWER, DIFFICULT QUESTION* Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he’ll call her on the phone. If he talks to her at school, he’s 90% likely to ask her to a party. However, he’s only 60% likely to ask her over the phone.
What is the total probability of Thomas inviting Madeline to the party?
a.) 100%
b.) 84%
c.) 64%
d.) 90%
B or D
Either one of them
Combine like terms: 12b+15+7b-8+7x=
Answer:
Step-by-step explanation:
Like terms have same variables and exponents
12b and 7b are like terms
15 & -8 are like terms
12b + 15 + 7b - 8 + 7x = 12b + 7b + 15 - 8 + 7x
= 19b + 7 + 7x
Answer:
12b+15+7b-8+7x = 19b+7+7xStep-by-step explanation:
12b+7b+15-8+7x
19b+15-8+7x
19b+7+7xPLEASE HELP ME IN FINANCE!!
Which factor could influence an employer to reduce the number of workers at his business?
A. An economic downturn
B. Better education in workers
C. The opening of a new location
D. High demand for the company's goods
Answer:
A
Step-by-step explanation:
if we had a economic turn down, basically people would lose money, so that means the consumers, so the producers will have a bunch of left over products because the people can't afford to buy as much, which means the company loses money, which means the employees must be let go of so the business doesn't go out of business
A] Economic Downturn could influence Employer to reduce number of workers at business.
Economic Downturn is a slowdown in economic activities for a considerable period of time. It is characterised by low demand by consumers & low production levels in businesses.
This situation implies that a rational employer would reduce the workers employed, as there is lesser demand & need of production.
Better educated workers, new location' opening, high demand of goods : are rather likely to increase employment levels instead of decreasing.
To learn more, refer https://brainly.com/question/1253307?referrer=searchResults
20 POINTS 20 POINTS 20 POINTS This is my second time asking this question!
Answer: 3. 4 2/3 ÷ √4/8 4. 4 2/3 - √4/8
Step-by-step explanation:
irrational number will never be changed into rational number when they do any operation with rational numbers.
4 2/3 is a rational number, which means the second term in the expression must be rational in order to make the expression entirely rational
√3 is not rational, thus, all the expressions that contains √3 is irrational.
The remaining have √4, but √4 is rational because simplifying it will become 2, and so expressions with √4 is rational
Answer:
Third and fourth.
Step-by-step explanation:
The first one is not because the second number is not rational; [tex]\sqrt{3}[/tex] is not rational.
The second one is not either for the above reason.
The third is because [tex]\sqrt{4}[/tex] is 2, which is rational.
Also the fourth for the previous reason.
And not the fifth for the first reason.
John can drive his car fifteen miles on three gallons of gasoline. How many gallons of gas will John need to drive one hundred ninety-five miles?
Answer:
39
Step-by-step explanation:
195 ÷ 15 = 13
13 x 3 = 39
what is the answer to 5x-7=2x+11
Answer: 6
Step-by-step explanation:
5x - 7 = 2x + 11
-2x +7 -2x +7 because what you do to one side you have to do to the other
3x = 18 now we have x on one side and nothing else on that side
then divide by 3
18/3 = 6
The scale from the actual coin to the photo is 8 mm to 2 cm. In the photo, the distance across the coin is 3.25 cm. What is the distance across the actual coin?
Answer:
13 mm
Step-by-step explanation:
Given that scale from actual coin to the photo is
8 mm to 2 cm.
Distance across the coin in photo is 3.25 cm.
To find:
Distance across the actual coin = ?
Solution:
First of all, let us learn about scaling concept.
The concept of scaling is used to represent the actual object as as image so that it can be drawn on a paper.
This scaling can result in a smaller image or a bigger image depending upon the size of object.
Here, 8 mm coin is represented as 2 cm coin on the photo.
Let us use unitary method to identify the distance across actual coin to the distance across photo.
2 cm ---- 8 mm
1 cm ------ [tex]\frac{8}{2} = 4\ mm[/tex]
3.25 cm ------- 4 \times 3.25 mm = 13 mm
Please help 70 Brainly points thanks
Answer:
9) x=58
10) r=4
11) m=4
12) p=3
13) x=6
14) x=-3
15) s=400
Step-by-step explanation:
9) x+2/5=12
x5 x5
x+2=60
-2 -2
x=58
10) 7r + 14 - 3r =30
-14 -14
7r-3r=16
4r=16
÷4 ÷4
r=4
11) [tex]\frac{4}{5}[/tex]m+2=6
-2 -2
[tex]\frac{4}{5}[/tex]m=4
÷[tex]\frac{4}{5}[/tex] ÷[tex]\frac{4}{5}[/tex]
m=4
12) 2(5p+9)=48
10p+18=48
-18 -18
10p=30
÷10 ÷10
p=3
13) 5(2x-8)=20
10x-40=20
+40 +40
10x=60
÷10 ÷10
x=6
14)6(3-2x)=54
18-12x=54
-18 -18
-12x=36
÷-12 ÷-12
x=-3
15) [tex]\frac{2s}{5}[/tex]-[tex]\frac{s}{2}[/tex]=40
x5 x5
2s-[tex]\frac{s}{2}[/tex]=200
x2 x2
2s-1s=400
1s=400
÷1 ÷1
s=400
Answer:
see below
Step-by-step explanation:
9) x = 22
10) r = 4
11) m = 5
12) p = 3
13) x = 6
14) x = -3
15) s = -400
If there were four transistors on a chip in 1965, predict the amount in 2015.
Answer:
that'd be 200............
Hi. Could you please help me with this question??
Thanks :)
What is the perimeter of the diagram?
a.13cm
b.23cm
c.33cm
d.43cm
e.53cm
PLS ANSWER ASAP!!!!!! To solve x^2−8x=10 by completing the square, what should be added to both sides? A. 64 B. 16 C. 8 D. −16
Answer:
B. 16
Step-by-step explanation:
x² − 8x = 10
x² − 8x + (-4)² = 10 + (-4)²
x² − 8x + 16 = 10 + 16 --------- added 16 to both sides.
to finish the equation..
x² − 8x + 16 = 26
(x - 4)² = 26
[tex]\sqrt(x - 4)^2 = \sqrt{26}[/tex]
x = [tex]\sqrt{26} + 4[/tex]
x = [tex]4 - \sqrt{26}[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{B. \ 16}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]x^2-8x=10[/tex]
The equation is in the form ax² + bx = -c. The value of b in the equation is -8.
To complete the square, we need to add (b/2)² = (-8/2)² = -4² = 16 to both sides.
[tex]x^2-8x+16=26[/tex]
Factoring left side of the equation.
[tex](x-4)^2 =26[/tex]
Taking the square root of both sides.
[tex]x-4=\pm\sqrt{26}[/tex]
Adding 4 to both sides.
[tex]x=4\pm\sqrt{26}[/tex]
[tex]\rule[225]{225}{2}[/tex]
which list shows fractions that always result in a terminating decimal for values of n>0
Answer:
B
Step-by-step explanation:
m
plsssss answer dis questionnn :>>>>
Answer:
Hey there!
The value of x in this figure is 60.
Angles in a four-sided shape add to 360 degrees.
We have an angle of measure 50, an angle of measure 130, and an angle of measure 120.
50+130+120=300.
Thus, the missing angle would be 60 degrees.
Let me know if this helps :)
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360 degrees
x+50 + 120+130 = 360
Combine like terms
300 +x = 360
x = 360-300
x = 60
answer this question.
Answer:
I think the answer is 4)may be negative
F(x) = x^2 + 2
F(x + h) =
Answer:
x^2+2xh+h^2+2
Step-by-step explanation:
F(x+h)=(x+h)^2+2 = x^2+2xh+h^2+2.
if we know the area of a parallelogram is 25 square inches and its base length is 5 inches, what is the height
Answer:
5 inches
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
Here A = 25, b = 5 , then
25 = 5h ( divide both sides by 5 )
5 = h
That is the height is 5 inches
If a number squared equals 49. Find the solution to x.
Answer:
x= 7
Step-by-step explanation:
Let the unknown number be x
[tex] {x}^{2} = 49[/tex]
Square root both sides
[tex] \sqrt{ {x}^{2} } = \sqrt{49} [/tex]
Simplify
[tex]x = 7[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
Let the number be 'x'
Create an equation
[tex] \sf{ {x}^{2} = 49}[/tex]
Squaring on both sides
[tex] \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{49} }}[/tex]
[tex] \dashrightarrow {\sf{ \: x = 7}}[/tex]
Hope I helped!
Best regards!
Daniella has money automatically deposited into a savings account each week. after 3 weeks, she has $18. After 5 weeks, she has $30. the unit rate is measured in dollars per week. what is the constant of proportionality.
Answer: 6 dollars
Step-by-step explanation: