Answer:
$56.88
Step-by-step explanation:
amount paying for sales tax---> $2.28
amount paying for tip---> $9.1
amount paying for car wash---> $45.50
$2.28 + $9.1 + $45.50= $56.88
The money we will spend in total will be $56.875. iIt is the sum of all expenses
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
money to get the car washed= $45.50
the 5% of $45.50= (5 x 45.50)/100
= $2.275
The 20% of $45.50 for the tip= (20 x 45.50)/100
= $9.1
The total amount we will be the sum of all expenditures = the money for car wash + the money for sales tax + the money for tip
= 45.50 + 2.275 + 9.1
= 56.875
the total amount to be paid= $56.875
Learn more about percent here:
https://brainly.com/question/11549320
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What is the area of this. Pls help.
Answer: 49cm squared *tiney 2 above cm*
Step-by-step explanation:
You deposit $6000 in and account earning 2% interest compounded monthly How much will you have in the account in 10 years
Answer:
14400 $. do u need an explanation:
so if 6000 is 100 percent
then ??? is 2 percent
to find out that you need to 6000×2 and divide by 2=120$
so you get this monthly.
in ten years you will have 14400 because
10 year=120 month
120month×120$=14400.
btw I cant speak English well. I hope it will help
There are 3 fourth grade clases with a total of 90 scholars. 2/5 of the scholars have a sister. 1/2 of the scholars have a brother. How many scholars have a sisters?
Answer:
There are 36 scholars who have a sister.
Step-by-step explanation:
Given that:
Total number of scholars in classes = 90
Fraction of scholars who have a sister = 2/5
Fraction of scholars who have a brother = 1/2
Number of scholars who have sisters = 2/5 of 90
Number of scholars who have sisters = [tex]\frac{2}{5}*90[/tex]
Number of scholars who have sisters = 36
Hence,
There are 36 scholars who have a sisters.
I did not do as good as I hoped on my math model :(
Answer:
you're going to get an A
Step-by-step explanation:
.............
The TV repairman charges $40 to come out to your house and check the TV
plus $25 per hour of labor. Write an equation to find the cost of repairing a TV.
Answer:
The equation to find the cost of repairing a TV is:
y = 25x + 40
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
Given that the TV chairman charges $40 to come out to your house and check the TV plus $25 per hour of labor.
It means $40 is the y-intercept because it represents the starting point/condition of the repairman.
Let 'x' be the number of hours and y be the cost.
The rate of change = 25$ per hour of labor
The rate of change can also be termed as the slope.Thus, m = 25
Hence, the slope-intercept form of the line equation becomes
y = mx+b
substituting m = 25 and b=40
y = 25x + 40
Therefore, the equation to find the cost of repairing a TV is:
y = 25x + 40
Validation:
y = 25x + 40
putting x = 1 to determine the cost if labor works for 1 hour.
y = 25(1) + 40 = $65
putting x = 2 to determine the cost if labor works for 2 hours.
y = 25(2) + 40 = $95
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, -0.75); f(x) = x2 - x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = -x2 + x
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + 2x + 1
Answer:
Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Step-by-step explanation:
1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5
2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.
The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)
3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.
Now, formula for line of symmetry is; x = -b/2a
Thus; -b/2a = -0.5 or -b/2a = -1/2
Thus, b = 1 and a = 1
Our first and second terms will now be;
x² + x
Looking at the options, the only one with x² + x as it's first 2 terms is option A.
Thus, the complete equation will be x² + x + 1
I need help with this
Answer:
(-2, -4)
Step-by-step explanation: because its going backwards it should be a negative slope :)
I'm sorry if I'm wrong but i hope this helps :)
quadrilateral ABCD is dilated by a scale factor of 2 centered around (2,2). Which statement is true about the dilation?
Answer:
The vertices of the image will have the coordinates
A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)
B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)
C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)
D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)
Step-by-step explanation:
Note: You missed to mention the vertices of a quadrilateral ABCD. So, I am assuming the following vertices. It would anyways clear your concept.
Let us suppose
A(-5, 1)B(-4, 3)C(1, 2)D(-3, 0)We know that the rule of the dilation with the center of dilation at (2,2) by a scale factor of 2 is:
(x, y) → (2x-2, 2y-2)Therefore, the vertices of the image will have the coordinates
A(-5, 1) → A'(2x-2, 2y-2) → A'(-12, 0)
B(-4, 3) → B'(2x-2, 2y-2) → B'(-10, 4)
C(1, 2) → C'(2x-2, 2y-2) → C'(0, 2)
D(-3, 0) → D'(2x-2, 2y-2) → D'(-8, -2)
Zachary earns $8.00 per hour. He get paid time and a half for any hours over 40 that he works in a week. If Zachary works 9 hours per day from Monday through Friday, what are his gross earnings for the week?
Answer:
27 bc he warms hard and should get a raise
Step-by-step explanation:
f(x)= -8x
Find the value of x so that
f(x) = 40
Answer:
x=-5
Step-by-step explanation:
f(x)=-8x
f(x)=40
substitute f(x) with 40 in the first equation
40=-8x
s=-5 (slove)
A friend offers to play a game, in which you roll 3 standard 6-sided dice. If all the dice roll
different values, you give him $1. If any two dice match values, you get $2. What is the expected value of this game?
Answer: The expected value is $0.32
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where:
xₙ is the n-th event.
pₙ is the probability of the n-th event.
First, let's see the events in this situation and the probability of each event.
Lossing $1.
This happens when you roll all different numbers.
To calculate the number of combinations where you roll all different values, we first need to count the number of possible options for each roll, this is:
First dice: you have 6 options
Second dice: You have 5 options, because we remove the option that was rolled in the first dice.
Third dice: You have 4 options, because we removed the two outcomes showed in the two previous rolls.
Then the number of combinations is:
c = 6*5*4 = 120.
And the total number of combinations for rolling 3 dice is equal to the product between the number of outcomes for each dice, each dice has 6 possible outcomes, then the total number of outcomes is:
C = 6*6*6 = 216
The probability of rolling all different numbers will be equal to the quotient between the number of combinations where you roll all different values and the total number of combinations:
P₁ = 120/216 = 0.56
In the other case, where you roll at least two equal outcomes, you win $2.
The probability for this case will be the complement of the previous one, then the probability can be calculated as:
P₂ = 1 - P₁ = 1 - 0.56 = 0.44
Then the expected value will be:
EV = -$1*0.56 + $2*0.44 = $0.32
The expected value is $0.32
Very confusing not sure
Answer:
This describes a translation.
2x-y=5 in slope intercept form?
Answer:
y = 2x - 5
I hope this helps!
Maria has a savings account that is earning simple interest. If she started with $200 in the account and has earned a total of $8 in interest in two years, what is the rate of the account?
Answer:
The rate of the interest for savings account is: 2%
Step-by-step explanation:
Simple interest is given by the formula
[tex]I = Prt[/tex]
Here
I is the interest,
P is the principal amount
r is the interest rate
and
t is the time period in years
Now, it is given that
P = $200
I = $8
t = 2 years
Putting the values in the formula
[tex]8 = 200 * r * 2\\8 = 400 * r\\r =\frac{8}{400}\\r = 0.02[/tex]
Converting into percentage
r = 2%
Hence,
The rate of the interest for savings account is: 2%
Answer:
0.02
Step-by-step explanation
The length of a rectangular picture frame is 2 inches shorter than its width. If the perimeter of
the picture frame is 52 inches, what is the length, l, and width, w, of the frame? Write and
solve an equation to model the problem. Explain the meaning of the solution.
Answer:
Length = 12 inches
Width = 14 inches
Step-by-step explanation:
Formula for perimeter of a rectangle is;
P = 2(L + W)
Where;
L is length
W is width
We are told that the length is 2 inches shorter than its width. Thus;
L = (W - 2)
Thus,perimeter is now;
P = 2(W - 2 + W)
P = 2(2W - 2)
P = 4W - 4
We are told that the perimeter is 52. Thus;
4W - 4 = 52
4W = 52 + 4
4W = 56
W = 56/4
W = 14 inches
From L = (W - 2) ;
L = 14 - 2
L = 12 inches
PLEASE HELP!! PLEASE SHOW WORK OR EXPLAIN!! I WILL GIVE BRAINLIEST!!
Answer:
-4
Step-by-step explanation:
The equation for slope is as follows:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]We can use point P and point V's coordinates to find the slope.
Point P is at (2,4)
Point V is at (3,0)
Let's define all the variables:
y2 = 0 (from point V)
y1 = 4 (from point P)
x2 = 3 (from point V)
x1 = 2 (from point P)
Now that we have all the variables we can plug it into the equation:
[tex]\frac{0-4}{3-2} = \frac{-4}{1} = -4[/tex]
Therefore, the slope of line PV is -4.
I hope this helps!!
Feel free to ask any questions!
- Kay :)
If <1 <2
, which lines are parallel?HELP PLEASE
Answer: C. n//p
Step-by-step explanation:
Find the solution for a system of equations by elimination
3x – 6y = 12
5x - 2y = 10
Answer:
y=2, x=1
Step-by-step explanation:
3x-6y=12(x2)
5x-2y=10(x6)
Eliminate y
6x-12y=12
30x-12y=60
-24x =-48
divide both sides by -24
-24x/-24=-48/-24
y=2
to get our x
3x-6(2)=12
3x-12=12
3x=12+12
3x=24(divide both sides by 3)
x=1
A consultant for an association of personnel directors wants to find the proportion of clerical personnel that change jobs because they are bored with their work. The consultant queries a random sample of 400 clerical workers who recently changed jobs, 200 of which state that they changed jobs because they were bored. The consultant wishes to prepare a 95% confidence interval for the true proportion changing jobs because of boredom. What is the margin of error for this interval
Answer:
the margin of error for this interval is 0.049
Step-by-step explanation:
The computation of the margin of error for this interval is shown below;
Given that
n = 400
x = 200
Now
p = x ÷ n = 200 ÷ 400 = 0.5
Now the margin of error is
= [tex]z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96 \times \sqrt{\frac{0.5 \times 0.5}{400} }[/tex]
= 0.049
Hence the margin of error for this interval is 0.049
What inequality is represented by this number line?
x > -4
x ≤ -4
x < -4
x ≥ -4
A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When she plants 2 stalks, each plant yields 70 ounces of beans. When she plants 8 stalks, each plant yields 160 ounces of beans.
Which of these equations correctly represents this situation?
Select the correct answer below:
Y(n)=19n+32
Y(n)=11n+72
Y(n)=11n+48
Y(n)=19n+8
Y(n)=15n+30
Y(n)=15n+40
Answer:
Y(n)=15n+40
Step-by-step explanation:
Lets represent the number of bean stalks she plant by n and
the yield by Y.
It says in the question that when she plants 2 stalks, each plant yields 70 ounces of beans. When she plants 8 stalks, each plant yields 160 ounces of beans.
Which means 2 stalks correspond to 70 ounces and 8 stalks corresponds to 160 ounces we could write the data Mathematically like:
(2 , 70) and (8 , 160) are our coordinates where the x-axis would be n the number of beans stalks planted and y-axis would be Y the yield in ounces.
So we have two coordinates and to find the linear relationship we must find out the slope/gradient(m) of the linear function by the formula of slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{160-70}{8-2} \\\\m=\frac{90}{6} \\\\m=15[/tex]
so we plug in one of the coordinates and our slope in the point-slope formula :
[tex]y-y_1=m(x-x_1)[/tex]
where,
[tex](x_1,y_1)\ represent\ the\ coordinate\ (2,70)[/tex]
so plugging in the coordinate and the value of m we get:
[tex]y-y_1=m(x-x_1)\\y-70=15(x-2)\\y-70=15x-30\\y=15x-30+70\\y=15x+40\\[/tex]
so our the answer is the last option
Y(n)=15n+40
here x corresponds to n and y corresponds to Y(n)
PLEASE PLEASE HELP ME
Which of the following angles is coterminal with -610?
1. 110
2. 70
3. 250
4. 20
Answer:
1. 110°Step-by-step explanation:
Given angle - 610°
Coterminal angle is an angle in the interval 0°- 360° added or subtracted to multiples of 360°:
-610° + 2*360° = -610° + 720° = 110°Correct option is 1.
A suppliers sold a machine levying 13% vat on rupees 320000 to a retailer. the retailer spent rupees 10000 for transportation and rupees 5000 for the local tax if the retailer sold it at a profit of rupees 15000 to a customer how much did the customer pay for the machine with 13% vat?
Answer:
395,500
Step-by-step explanation:
The computation is shown below:
Supplier to retailer = 320,000
Vat tax = 13%
Retailer spent for transportation = 10,000
local tax = 5,000
Profit = 15,000
Now based on the above information
the customer would pay the amount with 13% vat is
= (320,000 + 10,000 + 5,000 + 15,000) + 13% of total
= 350,000 + 13% of 350,000
= 350,000 + 45,500
= 395,500
The regular price of a television is $250. A discount offered on the television is 20% of the regular price. What is the discount amount?
Answer:
The discounted TV would cost $200 because the 20% discount takes off $50
Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 35% chance, if he loses the first game, he will win the second game with 65% chance. The winning prices for the first and second game are $1 and $2 respectively. a. If he wins the second game, what is the probability that he lost the first game
Answer:
0.5532
Step-by-step explanation:
We have these events
WF = Wins the first game
LF = lose the first game
WS = Wins the second game
LS = lose the second game
Then
Prob(WF) = 0.6
Prob(LF) = 0.4
Prob(WS|WF) = 0.35
Prob(WS|LF) = 0.65
1. If he wins the second game, the probability that he lost the first =
P(Lf|WS)
= 0.4x0.65/0.4x0.65+0.6x0.35
= 0.21/0.47
= 0.5532
0.5532 is the probability that he lost the first game given that he wins the second
What are the domain and range of the function ? domain: all real numbers range: all real numbers greater than or equal to –5 domain: all real numbers range: all real numbers greater than or equal to –4 domain: all real numbers between –2.5 and 2.5 range: all real numbers domain: all real numbers between –2.5 and 2.5 range: all real numbers greater than or equal to –5
Answer:
Option A Domain: all real numbers between –2.5 and 2.5 range: all real numbers greater than or equal to –5
Step-by-step explanation:
Domain corresponds to the values of x and Range corresponds to the value of y. If sketch the graph on an online calculator we can see that the domain lies between -2.5 and 2.5 for x and the range corresponds to y as in this case
range ≥ -5.
Answer:
a
Step-by-step explanation:
what is the angle of elevation to the nearest tenth of a degree to the top of a 35ft building from 75ft away?
Answer:25°
Step-by-step explanation:
tanθ= 35/72
reduce the ratio to its simpliest form 208/52
Answer:
4
Step-by-step explanation:
208 ÷ 52 = 4
52 × 4 = 208
Hope this helped a little!
208/52
= 4
you could have simply cancelled out or even use a calculator
The probability of rolling a number less than 3 on a number cube is 2/6. Jennifer rolls a number cube 60 times. How many times should Jennifer expect to roll a number less than 3?
A. 10
B. 20
C. 30
D. 40
E. 50
Please help me!!
<8 and <6 are ___________.
0443e860-aba2-49e1-952c-862061d9e91a?w=400&h=400
a
Same-side Interior Angles
b
Alternate Exterior Angles
c
Alternate Interior Angles
d
Corresponding Angles