Answer:
$ 6.375
Step-by-step explanation:
Cost of ticket = $7.50
Discount = 15%
Discount price = 15/100 x 7.50 = 1.125
Cost of student ticket = $7.50 - 1.125 = $ 6.375
I hope im right!!
A cup of coffee contains 140 mg of caffeine. If caffeine leaves the body at 10% per hour, how long will it
take for half of the caffeine to be eliminated from one's body?
Answer: 5 hours
Step-by-step explanation:
If 10% of 140 is 14. And if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from ones body, but for half of it to leave it would take 5.
It takes 5 hours to eliminate half of the caffeine from one's body.
Given that, a cup of coffee contains 140 mg of caffeine.
What is the percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Now, 10% of 140
=0.1×140=14 mg
If 10% of 140 is 14 and if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from one's body, but for half of it to leave it would take 5 hours.
Therefore, it takes 5 hours to eliminate half of the caffeine from one's body.
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There are 6 bookshelf's that hold 72 books per shelf. if 1/3 of the total number of books are non-fiction,how many fiction books are there.
Answer:
288 fiction books
Step-by-step explanation:
If the other 2/3 are fiction, then I believe that you would multiply 72 by 6 then divide by 3 or multiply by 1/3 giving you 144. Multiply 144 by 2 and you should get 288, but this is if there are only fiction and non fiction. Sorry if this is wrong..
For any positive integer n, prove that n^3-n is divisible by 6.please answer
Answer:
yes it is true
Step-by-step explanation:
if we take n=2 then
2°3-2=8-2=6
Joseph took out a loan from the bank to purchase a new car. The initial loan amount was for $25,000 with an interest rate of 3.5%. If Joseph takes 5 years to pay off the loan, what is the total amount he will have paid for the car?
A circle has a diameter of 22 inches . What is the area , in square inches , of the circle
The area of the circle is 380.13271 in².
To find the area.
What is circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called center.
Given that:
Diameter =22 inch
The area of the circle is :
A=π[tex]r^{2}[/tex]
d=[tex]2r[/tex]
Solving for A
A= [tex]\frac{1}{4}[/tex]π[tex]d^{2}[/tex]
A= [tex]\frac{1}{4}[/tex]π[tex]22^{2}[/tex]
A≈380.13271 in²
So, the area of the circle is 380.13271 in².
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In the triangle above, the console of p degrees is 0.8 what is the sine of q degrees
Answer:
Step-by-step explanation:
[tex]cosp=(8/10)\\ \\ p=cos^{-1}(8/10)\\ \\ q=90-p\\ \\ q=90-cos^{-1}(8/10)\\ \\ sinq=sin(90-cos^{-1}(8/10)\\ \\ sinq=(8/10)[/tex]
In the triangle above, the console of p degrees is 0.8. So, the sine of angle q is 0.6.
It seems like there is a description of a triangle with angles p and q, where the console of angle p is 0.8. However, the term "console" is not familiar in the context of trigonometry. I assume you meant "cosine" instead of "console."
If that's the case, let's proceed with the assumption that cos(p) = 0.8.
The cosine of an angle is the ratio of the adjacent side to the hypotenuse in a right-angled triangle. To find the sine of angle q, we need to use the Pythagorean trigonometric identity:
sin²(q) + cos²(q) = 1
We already know that cos(p) = 0.8, and since the sum of angles in a triangle is 180 degrees, we can find q:
q = 180 - p
Now, let's calculate sin(q):
sin²(q) + cos²(q) = 1
sin²(q) + (0.8)² = 1
sin²(q) = 1 - 0.64
sin²(q) = 0.36
Now, take the square root of both sides to find sin(q):
sin(q) = √0.36
sin(q) = 0.6
So, the sine of angle q is 0.6.
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914−456 whta's the answer
Answer:
458
Step-by-step explanation:
Use the distributive property to rewrite each expression in it's equivalent form 9a-3/3 ,Just 3 please
Please help! I need as soon as possible.
Answer:
question 2: squareroot k
question 3: 2b/b^10
Step-by-step explanation:
q2:
using power rules, root k^3 = k^2/3
division of powers means subtraction, therefore k^2/3 -1 is your answer. which is k^1/2, which can also be written as root k
q3: same thing
Which runs faster: a cheetah that can run 60 feet in 6 seconds or a gazelle that can run 100 feet in 10 seconds?
They run at the same speed.
A gazelle runs faster.
A cheetah runs faster.
Answer:
They run at the same speed
Step-by-step explanation:
First, you have to find a way seeing how fast both animals run in the same amount of time. You can find out how fast they both run in one second.
60 feet in 6 seconds is how many feet in one second? Well, you can do 60/6 (60 divided by 6) and you will see that in one second, the cheetah can run 10 feet
100 feet in 10 seconds is how many feet in one second? Same thing, you can do 100/10 (100 divided by 10) and you will see that the gazelle can run 10 feet in one second.
Finally, you compare the two answers from the two animals. For the cheetah, we learned that it can run 10 feet in one second, and for the gazelle, we learned that it can run 10 feet in one second. So, we know that they run at the same speed.
Thank you! Please let me know if this was helpful!
Answer:
Cheeta's speed = 10 feet per second
Gazelle's speed = 10 feet per second
Hence, They run at the same speed.
Step-by-step explanation:
Determining the Cheeta's speed:
Covered distance = 60 feet
Time taken = 6 seconds
Speed = Covered distance / Time taken
= 60 / 6
= 10 feet per second
Therefore, Cheeta's speed is 10 feet per second.
Determining the Gazelle's speed:
Covered distance = 100 feet
Time taken = 10 seconds
Speed = Covered distance / Time taken
= 100 / 10
= 10 feet per second
Therefore, Gazelle's speed is 10 feet per second.
Conclusion:
Cheeta's speed = 10 feet per second
Gazelle's speed = 10 feet per second
Hence, They run at the same speed.
9.1(3) + 8.7(4) = ?
Answer:
62.1
Step-by-step explanation:
PEMDAS!
9.1 * 3 = 27.3
8.7 * 4 = 34.8
27.3 + 34.8 = 62.1
Triangle TVW is dilated according to the rule
DO,(x,y)(three-fourths x, three-fourths y) to create the image triangle T'V'W', which is not shown.
On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).
What are the coordinates of the endpoints of the segment T'V'?
T'(-3, 6) and V'(0, 3)
T'(-3, 6) and V'(0, 1)
T'(-1, 2) and V'(0, 3)
T'(-1, 2) and V'(0, 1)
Answer:
D
Step-by-step explanation:
The coordinates of the endpoints of the segment [tex]T'V'[/tex] are [tex](-3,6), \ (0,1).[/tex]
What is dilation of triangle?Dilation of triangle means each point is stretched outwards or inwards from the center point by multiplying by the scale factor to form a similar triangle.
We have,
Triangle [tex]T V W[/tex] which has points [tex](- 4, 8)[/tex], [tex](0, 4)[/tex], and [tex](4, 4)[/tex] on a coordinate plane.
Scale factor [tex]\frac{3}{4} x, \ \frac{3}{4} y[/tex]
It has to be dilated to create a new triangle [tex]T'V'W'[/tex] .
So,
To create a new triangle [tex]T'V'W'[/tex] we have to multiply the original triangle's coordinate by scale factor, to get new triangle's coordinate .
So, we have to dilate the coordinates by [tex]\frac{3}{4} x, \ \frac{3}{4} y[/tex] ,
[tex]T'=(- 4, 8)=\frac{3}{4} *(-)4, \frac{3}{4} *8= (-3,6)[/tex]
[tex]V'=(0, 4)=\frac{3}{4} *0, \frac{3}{4} *4=(0,1)[/tex]
[tex]W'=(4, 4)=\frac{3}{4} *4,\frac{3}{4} *4=(0,0)[/tex]
So, the coordinates of triangle [tex]T'V'W'[/tex] after dilation are [tex](-3,6), \ (0,1), \ (0,0)[/tex] . Hence we can say that the coordinates of the endpoints of the segment [tex]T'V'[/tex] are [tex](-3,6), \ (0,1).[/tex]
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Age If you add Natalie's age and Fred's age, the result is 43. If you add Fred's age to 4 times
Natalie's age, the result is 79. Write and solve a system of equations to find how old Fred and
Natalie are.
Fred is
years old. Natalie is
years old.
KL has endpoints at K(9, 19) and L(2, 16). Find the midpoint M of KL.
Write the coordinates as decimals or integers.
Answer: (5.5,17.5)
Step-by-step explanation: using the midpoint formula
what is the area of each triangle 24 ft 20 ft
ANSWER
Area of triangle = b*h/2
24*20/2
24*10
The area of this triangle is 240 ft squared
Hope it helps :)
Please only put the correct answer and explain if you don't explain than your points will be returned back to me-Respectfully...Thanks!
Answer:
I think "A"
Step-by-step explanation:
as the question actually states that the graph represents the number of meals he makes per camper...
option c and d are eliminated cause they represent other things...
Optio n b is number of campers per meal... it actually the opposite...
But option A represents number of meals per camper ....
really sorry for the late response ;)
(Note: if checking the progress of line all are the same so we cant determine through the line but through the data it represents)
I hope im right!!! And i hope its usefull !
A computer is normally $2788.43 but is discounted to $1023.99. What percent of the original price does Korey pay?
Answer:
11%
Step-by-step explanation:
computer is normally $899 but is discounted to $799. Question: What percent of the original price does Shawn pay? => 899 – 799 = 100 dollars – the discount price that was deducted to the original price. Thus, the computer has a discount of 11%
what is the combined weight of all phones
Answer:
What kind are they. All phones are different weights.
Step-by-step explanation:
I have a IPhone 12 and it weighs 5.78 ounces i just weighed it
Identify the slope as positive, negative, zero or undefined
Answer:
Zero
Step-by-step explanation:
A person weighing 170 lb burns 8.6 calories per minute while mowing a lawn. How many calories would be burned A person weighing 170 lb would burn calories in 9 hr of mowing in 9 hr of mowing?
Answer:
4,644 calories
Step-by-step explanation:
The computation of the number of calories to be burned is shown below
r = rate = 8.6 cal/min
= 8.6 cal ÷ [(1 ÷ 60)hr]
= 516 cal/hr
Now
Calories consumed in 9 hours is
= (516 cal/hr) × (9 hrs)
= 4,644 calories
Find three consecutive even integers such that the product of the first and the second is 8
greater than - 10 times the third integer.
Answer:
-4, -2, 0 or -8, -6, -4
Step-by-step explanation:
#1 =x
#2 = x+2
#3 = x+4
x(x+2) = -10(x+4) + 8
x^2 + 2x = -10x - 40 + 8
x^2 + 12x + 32 = 0
(x+8)(x+4) = 0
x = -8 or x = -4 so:
#1 = -8 or -4
#2 = -6 or -2
#3 = -4 or 0
John works as a mechanic six days a
week. What percentage of the week
does he work?
Answer:
85.715%
Step-by-step explanation:
Answer: 90%
Step-by-step explanation:
Answer: there’s 7 days in one week so he works all those days but 1 so one day would be 10 or 20 % but 6 days would be 90% I think that’s the answer let me know if I’m right :)
HELP! 10 points!!
Sarah has a part time job working as a line cook. She earns $56 a night plus 5% of the tips.
A- write an equation for Sarah’s total earnings, E dollars, when the tips are t dollars.
B- what will Sarah earn when the tips are $350? Explain your strategy
C- what were the nightly tips when Sarah earned $81? Explain your strategy
Thank you :]
Answer:
A: E = 0.05t +56
B: $73.50
C: $60.05
Step-by-step explanation:
A) I'll just explain the equation in one go
Equation: E = 0.05t + 56
0.05 - This is meant to represent the 5% of tips
5% = 5/100
5/100 = 0.05
56 - This is a set value that has been established as a constant, thus it simply needs to be added to the 5%
B+C) Since we already have the equation set up, we just need to plug in the variable, t.
B) E = 0.05(350) + 56
= 17.5 + 56
= 73.50
C) E = 0.05(81) + 56
= 4.05 + 56
= 60.05
Hope that does something to help, even though this was posted a while ago
HELPPPPPPPP
The area of a circle is 28.26 cm2. What is the circle's radius?
(Take = 3.14)
The radius of the circle is
cm.
Step-by-step explanation:
by ours to do if the radius
Answer:
approximately 4 cm
Step-by-step explanation:
In ⊙H, Arc I K ≅ Arc J K, mArc I K = (11x + 2)°, and mArc J K = (12x – 7)°.
Circle H is shown. Line segments H I, H K, and H J are radii. Lines are drawn to connect points I and K, and points K and J to form congruent secants.
What is the measure of Arc I J K?
Answer:
202
Step-by-step explanation:
Did it on Edu.
Answer:
The answer is 202.
Step-by-step explanation:
A horizontal translation is used to move quadrilateral W XYZ onto quadrilateral
W XYZ.
Use the drop-down menus to describe the horizontal translation used.
Answer:
Quadrilateral WXYZ is translated 10 units to the left
Step-by-step explanation:
Translation of Shapes in the Plane
The translation is a type of rigid transformation where all the coordinates of the vertices that form the shape are shifted by the same number of units both vertically and horizontally.
The quadrilateral WXYZ has coordinates:
W(2,-3) X(7,-3) Y(6,-7) Z(1,-7)
The quadrilateral W'X'Y'Z' has coordinates:
W'(-8,-3) X'(-3,-3) Y'(-4,-7) Z'(-9,-7)
It can be noted that all the x-coordinates of the vertices are shifted by 10 units to the left.
Answer:
Quadrilateral WXYZ is translated 10 units to the left.
name the angles.......
Answer:
1. SQ and VX
2. RT and UW
Step-by-step explanation:
An Interior Angle is an angle inside a shape
Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line.
I need help asap!!!!
Answer:
150
Step-by-step explanation:
Help. Tell me which one this is
Answer
look up picture examples of convex or concave
Step-by-step explanation:
8x(2+0)^2 divided by 2
Answer:
16
Step-by-step explanation:
STEP 1:
Calculate within Parentheses:
[tex](2 + 0) = 2[/tex]
=
[tex]8 \times {2}^{2} \div 2[/tex]
STEP 2:
Calculate Exponents:
[tex] {2}^{2} = 4[/tex]
=
[tex]8 \times 4 \div 2[/tex]
STEP 3:
Multiply & Divide (left to right):
[tex]8 \times 4 \div 2 = [/tex]
[tex]8 \times 4 = 32[/tex]
[tex]32 \div 2 = 16[/tex]
So, your answer is 16.