Answer: 75%
15/60 wore orange shirts
45/60 didn’t
45/60 = 0.75 = 75%
The Peyton family stayed in a hotel room for 5 nights while on vacation. The total cost before tax was $1,075. If the hotel room tax rate in the city is 14%, what was the total cost for the hotel room?
Answer:
1225.50
Step-by-step explanation:
14% of 1075 =0.14 x 1075=150.5
1075 +150.5 = 1225.5
The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
The total cost before tax was $1,075.
The tax rate is 14%
14% of $1075 will be,
(14/100)1075 = $150.5
Total cost includes tax = $1075 + $150.5 = $1225.50
Hence "The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50".
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find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circle)
The area of a shape is the amount of space it can occupy.
The value of r is 13
From the question (see attachment), we have:
[tex]\mathbf{A =176}[/tex] --- area of the shaded region
[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region
The area of the complete circle would be:
[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]
The area of the small circle is:
[tex]\mathbf{A_2 =\pi r^2}[/tex]
So, the area of the shaded region is:
[tex]\mathbf{A = A_1 - A_2}[/tex]
Substitute known values
[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]
Substitute 2 for w
[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]
Expand
[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]
Open brackets
[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]
Cancel out line terms
[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]
Divide through by 4
[tex]\mathbf{44 =\pi r + \pi }[/tex]
Factor out pi
[tex]\mathbf{44 =\pi(r+ 1) }[/tex]
Divide through by pi
[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]
Substitute 22/7 for pi
[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]
Using a calculator, we have
[tex]\mathbf{r + 1= 14}[/tex]
Solve for r
[tex]\mathbf{r= 14 -1}[/tex]
[tex]\mathbf{r= 13}[/tex]
Hence, the value of r is 13
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help me with this:(((
Answer:
3
Step-by-step explanation:
HELP!!! Complete the function for this graph.
The sum of thirty and a number is equal to seventy less than a number times three
Answer:
30 +x = 3(y-70)
Step-by-step explanation:
Help me please you will get 20
Answer:
3 pounds
1p+1p+1p=3p
Step-by-step explanation: 4p +2j +2j +2j =10pounds which is more than 8p
I know it’s not 26 need help please
Answer:
x=11
Step-by-step explanation:
The angles are opposite interior angles and opposite interior angles are equal when the lines are parallel.
4x = 2x+22
Subtract 2x from each side
4x -2x = 2x+22-2x
2x = 22
Divide by 2
2x/2 =22/2
x = 11
Again I need help thank you :)
What is the midpoint of a line with endpoints (6,5) and (14,7), (Your answer
should be an ordered pair)
Answer:
Midpoint = (10,6)
Step-by-step explanation:
Using Coordinates: X(6,5) and Y(14,7)
Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2
Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2
Midpoint of XY = (20) / 2, (12) / 2
Therefore the midpoint of XY is (10,6)
325.623 rounded to nearest hundredth
Answer:
325.62
Step-by-step explanation:
Find the number in the hundredth place 2 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
Let f(x) = 3x2–5, find f(-5).
A. 70
B. 71
C. 72
D.73
[tex]f(x) = 3x2 - 5[/tex]
If x=-5Solution:[tex]f( - 5) = 3( - 5)2 - 5 \\ = 3 \times - 5 \times 2 - 5 \\ = - 30 - 5 \\ = - 35[/tex]
Solved ✔︎Which number is larger, 2x10^-3 or 3x10^-2? Explain.
Answer:
3×10'-2 is larger
Step-by-step explanation:
2×10'-3=0.002
3×10'-2=0.03
Answer:
3x10^-2 is larger
Step-by-step explanation:
2x10^-3 = 0.002
beause 10^-3 = decimal place three place to the left
3x10^-2 = 0.03
beause 10^-2 = decimal place two place to the left
(5x-7y)-(2x+y) expression thats equivalent plzzzzzz help fast
Answer:
(3x-8y) is equivalent
Step-by-step explanation:
Answer:
[tex](5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y[/tex]
For Exercises 8 and 9, find the lengths of all three sides of the triangle.
9514 1404 393
Answer:
8. GH = 49; HJ = 35; JG = 35
9. KL = 26, LM = 26, MK = 20
Step-by-step explanation:
8. The sides opposite the marked angles are congruent.
JG = JH
3x +8 = 35
3x = 27 . . . . . . . subtract 8
x = 9 . . . . . . . divide by 3
We already know JG and JH, so we only need to find GH:
GH = 6x -5 = 6(9) -5 = 54 -5 = 49
Then the side lengths are ...
GH = 49, HJ = 35, JG = 35
__
9. This, too, is an isosceles triangle.
LK = LM
26 = 2y+8
18 = 2y . . . . . . . subtract 8
y = 9 . . . . . . . divide by 2
KM = 3(9) -7 = 27 -7 = 20
Then the side lengths are ...
KL = 26, LM = 26, MK = 20
A tree is currently
2
feet tall and grows
1.3
feet per year. Which inequality represents the time, in
x
years, when the tree will have a height of at least
20
feet?
The inequality expression for the number of years when tree will be atleast 20 feets tall is x ≥14
Current height = 2 Growth rate = 1.3 feets per yearThe height of the tree after x years can be represented as a linear equation thus :
Height = 2 + 1.3xNumber of years when the tree will be 20 feets tall :
20 = 2 + 1.3x 20 - 2 = 1.3x 1.3x = 18x = 13.84The tree would be atleast 20 feets tall in 14 years x this can be expressed thus
x ≥14Learn more : https://brainly.com/question/18109354
Help! How to factorise= x²-5x+6?!!!!!!
Answer:
(x − 2)(x − 3)
Step-by-step explanation:
x² - 5x + 6
(x − 2)(x − 3)
Write x > 6 in interval notation.
Answer:
x > 6 in interval notation is: (6, ∞)
NOTE:
Interval notation is a way to represent an interval as a set of numbers. The numbers are the endpoints of the interval.
-----
Build the interval notation for x:
Since you did not enter an equal sign, this translates to ( since we will not be including the number 6
Based on the > you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞
(6,+∞)----- (answer)
Set Builder Notation for x:
{ x | x>6 } where | denotes such that
Display the literal representation for x
7,8,9,10,11,12,13,14,15,16,...,∞
ASAP!!!!Batman's age is 4 more than twice Robin's age when you add batman's age to Robin's age you get 58 how old is Batman and robin a.use x represent Robin's age write an equation that represents the situation b.solve the equation from part (a).show your work state your solution as a complete sentence.
Answer:
56is shjdns djdndjsndnskdvdjdnshdkd
english 2 hhhhheehllllllppp
Answer:
adds drama
Step-by-step explanation:
it talks about dramas
Answer:
a
Step-by-step explanation:
it adds drama
In how many ways can 5 people sit in 5 chairs if Frankie and johnny want to sit next to each other.
Answer:
24
Step-by-step explanation:
plz mark brainly
The recipe calls for 223 cups sugar. If Brody is tripling the recipe, how much sugar will he need?
Answer:
669 cups of sugar
Step-by-step explanation:
223 x 3 = 669
Richard tosses a ball into the altThe function b(t) = - 5t ^ 2 + 10t + 6 the the ball itDoes the a height of 12 m?
Answer:Nope
Step-by-step explanation:
The equation, b(t) = - 5t ^ 2 + 10t + 6, is a parabola with a vertex. We must find whether that vertex is equal to or exceeds 12m. One can graph the equation and find that the vertex is at (1,11), below the 12. It cannot reach 12 meters.
[One may also differentiate the equation and set it equal to zero (the point at which the slope of the parabola is zero, which will be at the vertex as it begins downward)].
Find the equation in slope-intercept form of the line parallel to y = 4x + 23 and passes through the point (2,3).
Answer: y=4x-5
Step-by-step explanation:
The slope of y=4x+23 is:4 m=4
The parallel line needs to have the same slope of 4
Solve it using the "point-slope" equation of a line: y− y1 = 2(x − x1)
substitute or put in the point (2,3):
y − (3) = 4(x − 2)
y - 3 = 4x - 8
put it in slope intercept form y = mx + b
y = 4x − 5
Does the point (13, –5) lie on the line y = 8 – x? Show your workings.
Answer:
well is there a picture ? so i can see if it does or doesnt
Step-by-step explanation:
What can divided 36 and 99
Step-by-step explanation:
GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.
I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!
Find the L.C.M and H.C.F of: a. 432 and 486
Answer:
L.C.M of 432 and 486: 3888
H.C.F of 432 and 486: 54
Step-by-step explanation:
PLS HELP
WILL MARK BRAINLIEST
Answer:
1) (0,6)
2)(0,2)
3) (0,-3)
4) (0,0)
Step-by-step explanation:
Your Welcome
Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?
Answer:
$30.
Step-by-step explanation:
70/28 = 2.5
12 x 2.5 = 30
of johnny have 5 apples and gave 3 to sally how many would she have?
what is (x-3)(3x-5) can you help
Hello!
Answer:
3x^2-14x+15
Step-by-step explanation:
Hope this helps!