Answer:
3%
Step-by-step explanation:
46.35 - 45 = 1.35 (change)
change/original price X 100
1.35/45 = 0.03
0.03 X 100 = 3
sales tax 3%
Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.
Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
Step-by-step explanation:
We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.
Then we can write:
a(t) = -32 ft/s^2
Where the negative sign is because this acceleration is downwards.
Now, to get the vertical velocity of the object, we need to integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.
In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:
v(t) = (-32 ft/s^2)*t + 57.4 ft/s
To get the position equation we need to integrate over time again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0
Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.
then the position equation (that is the function that represents the height of the object as a function over time) is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t
p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?
Answer:
Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:
(1) 120x + 200y = 2150
(2) 100x + 300y = 2625
Solving the system of equations above we have 2 solutions:
x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25
Step-by-step explanation:
Try the following puzzle:
A bat and ball cost $1.10.
The bat costs one dollar more than the ball.
How much does the ball cost?
Answer:
10 cents
Step-by-step explanation:
the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents
Answer:
the ball costs $0.05
Step-by-step explanation:
if the total is $1.10, and the bat is $1 more than the ball, you do
1+2x=1.10. do the algebra, and you get 0.05. hope this helps.
00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8
Which expression explains how to split the debt
Answer:
None of them. The proper expression(s) to split the debt are:
5400 / 8
or
8x=5400
PLZ ANSWE ASAP ASAP ASAP LIKE RN ASAP PLZ PLZ
Answer: Kris's bike
Step-by-step explanation:
KRIS 297/4.5 = 66 gallons per mile
JAKE 366/6 = 61 gallons per mile
BEN = 265.2/5.2 = 52 gallons per mile
Increase 386.3 by 4%
Given:
Increase 386.3 by 4%.
To find:
The value for given statement.
Solution:
We have,
Initial value = 386.3
Increasing rate = 4%
The increased value is
[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]
[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]
[tex]\text{New value}=386.3+15.452 [/tex]
[tex]\text{New value}=401.752[/tex]
Therefore, the required value is 401.752.
What are the values of x and y?
A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15
Answer:
d. 8 over 15 = 136 over 15 this is the right answer okay
What is the volume of the tissue box 5in 7in 2in
Answer:
70 inches cubed
Step-by-step explanation:
5 times 7 times 2 gives you the volume.
Paul won 37 super bouncy balls playing hoops at county fair. At school he gave two to every student in his math class. He only had 3 remaining. How many students are in his class?
Answer:
17 students
Step-by-step explanation:
If he started with 37 and ended with 3 we have to subtract those three first so that we know how many we are actually working with so, 37-3=34. 34 balls is the amount distributed among the class. 34/2 is 17.
Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.
X= length
Y= width
Answer:
Step-by-step explanation:
If length of the box = x
And width of the box = y
Then perimeter of the box = 2(length + width)
= 2(x + y)
Since, perimeter of the box is less than 30 inches.
2(x + y) < 30
x + y < 15
y < -x + 15
Since, this inequality has a sign of less than, line on the graph will be a dotted line.
y intercept of the dotted line y = 15 (by x = 0)
x intercept of the line x = 15 (by y = 0)
Constraints for the graph will be,
x > 0
y > 0
Now we can plot the dotted line by joining the x and y intercepts.
In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.
in the equation x+12=30 does x=16 explain your answer
How you Can find the area of a composite figure?
Answer:
Here are the steps to find the area of a composite figure.
1. Split the composite figure into simpler shapes.
2. Find the area of each of the simpler shapes.
3. Add the area of all the simpler shapes together.
4. You'll have the area of the composite figure.
Let me know if this helps!
8t=−32
Help a sister out
Answer:
t=-4
Step-by-step explanation:
Answer:
t = -4
Step-by-step explanation:
divide each term by 8 and simplify
Ming and Daniel are selling cheese cakes for a school fundraiser. Customers can buy French silk cheesecakes and apple cheesecakes. Ming sold 6 French silk cheesecakes and 3 apple cheesecakes for a total of $114. Daniel sold 4 French silk cheesecakes and 5 apple cheesecakes for a total of $124. Find the cost of each of one French silk cheesecakes and one apple cheesecake.
What is the value of tan(60°)?
A
12
30°
B
60°
14
Answer:
the answer is 1.7320508076
Please help clarify answer and step by step explanation
Answer:
10
Step-by-step explanation:
When u cross multiply
[tex]5 \div x = 3 \div6[/tex]
= 3x=30(5*6)
= x=30/3
=x=10
2. Simplify the expression by combining like terms. 3y+4y+6
A. 13y
B.7y+6
C.12y+6
D.18y
Answer:
B
Step-by-step explanation:
Y is the like term here, so add them together: 3y+4y=7y.
So now you have 7y+6
s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s
Chelsea went ice-skating. The ice, her skates, the Zamboni, and the rink building itself were all examples of solids she encountered. She developed a model of the particles in the ice. Which of these statements about the particles present in her model of a solid are true? Choose the three statements that apply.
A.They vibrate in place
B.They slide past each other.
C.They are packed very closely together.
D.They cause the solid to have definite volume and shape.
Solve the simultaneous equations
x + 5y = 20
x + 3y = 14
X= ?
Y= ?
Answer:
x=5, y=3
Explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Step-by-step explanation:
x=5 y=3 that is it that guy was right
In the function y= 1/3x^2,
what effect does the number 1/3 have on the graph,
as compared to the graph of the function y= x^2
A. It stretches the graph horizontally by a factor of 3.
B. It shrinks the graph horizontally to 1/3 its original width.
C. It shrinks the graph vertically to 1/3 its original height.
D. It stretches the graph vertically by a factor of 3.
Is 3 a factor of 24s - 167
yes
no
HELPPP
yoo someone help asaapp!
Answer:
A 76
Step-by-step explanation:
7x+8+7x-2+5x+16+110=360
19x+132=360
19x=228
x=12
∠E=5(12)+16
=76
Answer:
76. hope it helps.................
Definition of equilateral triangle
Answer:
An equilateral triangle has all its 3 angles the same.
Hope this helped. :)
Equilateral triangle:
An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.
Additionally, an equilateral triangle has three equal angles of 60 degrees.
Equilateral Triangle Perimeter:
In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.
In the event that ABC is an equilateral triangle, then its perimeter is;
Perimeter = AB + BC + AC
P = a + a + a
P = 3a [where "a" is the triangle's side length.]
To read more about "Equilateral Triangle" here:
brainly.com/question/10681095
On Friday, a local restaurant served 150 customers. Of these, 114
people ordered soup. What percent of the customers ordered soup?
A: 13%
B: 66%
C: 34%
D: 76%
Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
Five families have signed up to bring a pie. If a single serving of pie is 1/6 of the entire pie, how many people will 5 pies serve?
Answer:
30
Step-by-step explanation:
That means that there are 6 pie pieces in each pie so just multiply by 5
another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6
please answer the questions.
Answer:
1. 9 numbers (27, 36, 45, 54, 63, 72, 81, 90, 99)
2. 122 square cm
Step-by-step explanation:
break the shape into 2, find area of each, add those areas together
Brianliest for correct answer
Answer: i Think it would be 80
Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though
Rewrite in simplest terms: 8(-10r - 9) + 9r
Answer:
-2
Step-by-step explanation:
you answer the brackets first then add 9 then add 8
