The percentage of the purchase price of the sale tax is 8%
Given that,
Ahmed bought a telescope to look at the star. The final purchase price, which included the $10. 28 sales tax, was $128. 50.
To find : The sale tax's share of the purchase price
Let PP = $128
Sales Tax = $10.28
To calculate the percentage :
Divide the Tax with purchased price and multiply with 100
By doing so we have ,
10.28/128 = 0.080 * 100 = 8%
Therefore, The percentage of the purchase price of the sale tax is 8%
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13 divded by 4 7/8 im simplest form
Answer:
Step-by-step explanation:
Решение:
What is the inequality equation for the following graph? 
The inequality for the given graph is y ≥ - 3x + 4.
What does a math inequality graph look like?The act of illustrating which area of the number line has values that would "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The values that may be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.
A graphed system of inequality problems on a coordinate plane. Each axis on the x and y axes scales by two. Between the coordinates zero, two, and three, zero, there is a solid line that represents an inequality. The area for the disparity that is shaded is below the line.
First of all, we saw from the graph that the line is not dotted. So, we will use the signs ≥ or ≤.
Now find the slope
From the graph, consider
(x₁, y₁) = (0, 4)
(x₂, y₂) = (1, 1)
So, slope = (y₂ - y₁) /(x₂ -x₁)
= (1 - 4)/(1 - 0)
= - 3
The y-intercept is given as
y = mx + b
4 = -3 (0) + b
b = 4
So, the equation is
y= - 3x + 4
From the graph, the shaded region is above the line. So, inequality will be
y ≥ - 3x + 4
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A line has a slope of 1/6 and includes the points (10,z) and ( – 2, – 10). What is the value of z?
Answer: -8
Step-by-step explanation:
The line has a slope of 1/6, which means the x coordinate increases by 6 for every 1 the y coordinate increases.
In these two points, the x coordinate is decreasing by 12.
We need to divide that by 6, because the y increases 1 for every 6 the x increases.
12/6 = 2, which means that between the x coordinates of 10 and -2, the y coordinate has decreased by two.
We need to add 2 to -10 to get our answer, which is -8.
Frank bought 10 pounds of dog food for $17. 50. At this rate how much would he pay for 15 pounds.
Answer:
[tex]\$26.25[/tex]
Step-by-step explanation:
Price of 10 pounds of dog food is= $17.50
Price of 1 pounds of dog food is= [tex]\$\frac{17.50}{10}[/tex]
This implies that price of 15 pounds of dog food is=[tex]\$ \frac{17.50}{10}\times 15[/tex]
Simplifying this, we obtain:
This implies that price of 15 pounds of dog food is= [tex]\$26.25[/tex]
a solid right circular cone has radius 5 cm and height 12 cm as shown. what is the probability that a randomly chosen point inside this cone is a distance of at least 1 cm away from the closest point on the surface of the cone? express your answer as a decimal to the nearest thousandth.
Answer:
47
Step-by-step explanation:
Select the correct answer. Frances has 4 square baking dishes. Each pan is 7 inches × 7 inches × 2 inches. Which expression will give her the total volume of all the pans? A. 7^2 × 2 B. 7 × 2^4 C. (7 × 2 × 2) × 4 D. (7^2 × 2) × 4
Option D is the correct answer, The expression which will give her the total volume of all the pans is: (7^2 × 2) × 4.
What do you mean by volume?
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Various forms have various volumes. We have examined the numerous three-dimensional solids and shapes, such as cubes, cuboids, cylinders, cones, etc., in three-dimensional geometry.
Cubic units are used to quantify a solid's volume. For instance, the volume will be given in cubic meters if the dimensions are given in meters. The International System of Units uses this as the reference unit for volume (SI). Cubic meters, cubic feet, cubic inches, etc. are additional volume units.
The formula in the parenthesis calculates the volume of a single pan, which is then multiplied by the total number of pans, which is four. This will provide the volume of each of the four pans.
Therefore, the expression becomes as (7^2 × 2) × 4.
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Please help me out, and do me a favor and don’t answer if you don’t know please
2. What is the solution to each equation? Show both positive and negative
solutions.
A. x² = 25
B. 3x² = 48
Answer:
lmfa you answer my questions i recently posted ill answer yours.
Step-by-step explanation:
kk
What is the solution to each equation? Show both positive and negative
solutions.
A. x² = 25
x = -5 or 5
_________________________________
B. 3x² = 48
divide both sides by 3:
3x²/3 = 48/3
x² = 16
x = -4 or 4
Find the missing factor.
||
x 10² = 19,500
Answer: x=195
Step-by-step explanation:
Find the value of 10²: 10² =100
Divide 19,500÷100: 19,500÷100=195
Missing factor is 195
- x + y = - 3
y=x-3
Substitution method
Substitution is the process of substituting numbers for letters in order to calculate the value of an expression.
What exactly is the Substitution method?The substitution method is an algebraic method for solving simultaneous linear equations. As the title suggests, the value of one variable from one equation is substituted in the other equation.The substitution method starts by determining the value of any one of the factors in one equation in terms of the other variable.For example, if we have two equations, x+y=7 and x-y=8, we can deduce that x=7-y from the first equation. This is the initial step in using the substitution method.The substitution method involves substituting the value of a variable from one equation into the second.Therefore,
x=-1 and y=-4
Equivalent two equal expressions is another method that will work well in this case. This is a variation on substitution.
Transpose both equations to give y=
equ 1. y = x-3 and equ 2. y=7 x+3
Note that y=y
7 x+3=x-3
6 x =-6
x =-1
Equ 1. y=-1-3 ⇒ y=-4
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29
Write the answer in the blank.
What number is 267 more than 190?
Answer:
457
Step-by-step explanation:
190 + 267 = 457
In 1910 the population of the village of Stambridge was 4620; by 2010 this had
increased to 12 246 residents.
What is the percentage increase?
Answer:
165.065% increase
Step-by-step explanation:
The measure of a single interior angle in a regular octagon is (4x + 12)0. Find the value of x, rounding your answer to the nearest tenth.
Answer:
x ≈ 30.8
Step-by-step explanation:
You want the value of x if the measure of an interior angle of a regular octagon is (4x +12)°.
Interior anglesThe sum of interior angles of an n-gon is 180°×(n -2), where n is the number of sides. An octagon has 8 sides, so the sum of angles is ...
180°×(8 -2) = 1080°
The angles of a regular n-gon are congruent, so one interior angle of a regular octagon is ...
1080°/8 = 135°
ApplicationThe given angle expression is equal to 135°, so we have ...
(4x +12)° = 135°
4x = 123 . . . . . . . divide by ° and subtract 12
x = 30.75 . . . . . . divide by the coefficient of x
The value of x is about 30.8.
mary is building a storage shed from wood panels in the shape of a regular polygon. each rectangular wall panel is 7 feet wide and 8 feet tall. she wants the shed to have the most walls possible so she can hang tools on them.
The shape of the shed and the process for arriving at the solution of the word problem are as follows;
a. The number of walls in the shed are 8 walls and the shape of the shed is an octagon
b. The amount Mary has budgeted for the storage shed is divided by the unit cost of a panel and one bracket for joining the bracket to find the number of panels, which indicates the shape of the shed Mary builds.
c. The door is assumed to cost the same as one panel
What is a word problem?A word problem is an exercise in math or science that consists of the background information to the problem being introduced using everyday language rather that mathematical equations.
Parts of the question information obtained from a similar question online includes;
The number of walls Mary wants = As most as possible
The cost of the panels = $0.89 per square foot
Cost of the brackets for joining the panels = $6.50
Her budget for the wall of the shed = $500
a. The number of walls Mary will be able to build is found as follows;
The cost of each rectangular wall panel = 7 ft × 8 ft × $0.89/ft² = $49.84
The cost of a panel and a bracket = $49.84 + $6.50 = $56.34
The number of panels in the shed, n = The ratio of her budget to the cost of a panel and bracket
[tex]n =\dfrac{\$500}{\$56.34} \approx 8.87[/tex]
The number of panels in the shed she will be able to build with her budget is 8 panels
The shape of the storage shed she can build is an octagon
b. The solution process is to find the cost of a unit of material which is the cost of a panel and a bracket, then dividing the budget by the unit cost to find the number of panels in the shed.
The number of panels indicates the polygon she forms by the shed
c. The assumption made is in the cost of the door, which is assumed to cost the same as a panel and a bracket
The parts of the complete question are;
a. The number of walls the shed can have within Mary's budget, and what shape is the storage shed
b. Provide a description of the process of finding a solution
c. The assumptions made
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Verify
tanx + cotx = 1/ sinxcosx
[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan(x )+cot(x )~~ = ~~\cfrac{1}{sin(x )cos(x)} \\\\[-0.35em] ~\dotfill\\\\ tan(x )+cot(x )\implies \cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)} \\\\\\ \cfrac{sin^2(x)+cos^2(x)}{sin(x )cos(x)}\implies \cfrac{1}{sin(x )cos(x)}[/tex]
for the post office in the previous problem, a second drive-through window is being considered. a single line would be formed and as a car reached the front of the line it would go to the next available clerk. the clerk at the new window works at the same rate as the current one. a) what is the average time a car is in the system? b) what is the average number of cars in the system? c) what is the average time cars spend waiting to receive service? d) what is the average number of cars in line behind the customer receiving service? e) what is the probability that there are no cars in the system? f) what percentage of the time are the clerks busy? g) what is the probability that there are exactly two cars in the system?
Answer: Option A is correct, What is the average time a car is in the system?
Answer: 1/30-24= ⅙ * 60 min =10 min
Step-by-step explanation:
8.
In parallelogram ABCD, diagonals AC and BD intersect at point E, AE = 7x -21, and CE = 4x.
What is AC?
Enter your answer in the box.
AC =
The required length of the diagonal AC is given as 56 units.
Given that,
In parallelogram ABCD, diagonals AC and BD intersect at point E, AE = 7x -21, and CE = 4x.
A parallelogram is a quadrilateral consisting of pairs of parallel sides.
Here,
in a parallelogram, diagonals bisecting each other means that a diagonal intersects another diagonal at a midpoint.
So,
AE = CE
7x - 21 = 4x
x = 7
Now,
CE = 4 {7} = 28
AC = 28 + 28 = 56
Thus, the required length of the diagonal AC is given as 56 units.
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Answer:56
Step-by-step explanation: TRUST ME
7. The bill for 3 hotdogs and a juice box was $8.40. If the juice box cost $1.65, how much was each hot dog?
Answer:
2.25:)
Step-by-step explanation:
Maggie brought oranges and sandwiches to a picnic. The number of oranges was three more than twice the number of sandwiches. Maggie brought 9 oranges to the picnic. How many sandwiches did she bring?
Maggie brought 3 sandwiches to the picnic .
In the question ,
it is given that
Maggie bought oranges and sandwiches to a picnic .
given the number of oranges = 9
also given that , number of oranges was three more than twice the number of sandwiches
let the number of sandwiches Maggie brought to a picnic be x .
So , the number of oranges is = 2x + 3
So , 2x + 3 = 9
Subtracting 3 from both the sides ,
we get ,
2x = 9 - 3
2x = 6
On dividing both sides by 2,
we get ,
x = 6/2
x = 3
Therefore , the number of sandwiches = 3 .
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Determine whether the table represents a linear or nonlinear function
From given tables the first and third function are linear functions, and second and third function are non linear.
What is linear and non linear function?
When plotted on a graph, a linear function produces a straight line. Therefore, any non-linear functions are those that are functions. The simplest way to identify if a function is linear or non-linear is probably by graphing it, but we can also discover if a function is linear by looking at its input/output table or equation.
To check the given functions are linear or not first we have to check that the functions having constant rate of change or not.
Since, Rate of change = [tex]\frac{f(b) - f(a)}{b-a}[/tex]
For the first function,
Rate of change = [tex]\frac{10-5}{2-1}=\frac{15-10}{3-2}=\frac{20-15}{4-3}=5[/tex]
The rate of change is constant.
For the last function,
Rate of change = [tex]\frac{20-35}{0+1}=\frac{5-20}{1-0}=\frac{-10-5}{2-1}=-15[/tex]
The rate of change is constant.
The rate of change for second and third function is not constant.
Hence, the functions first and last are linear and the functions second and last are non linear.
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Jackson bought a used laptop for $400. He refurbishes the laptop and sells it for $750. What percentage markup is the laptop?
Answer:
58%
Step-by-step explanation:
Answer:
187.5%
Step-by-step explanation:
100/400=0.25
0.25 x 750= 187.5%
What is the y intercept of 3y+2x+5=4x+2y+15
in a survey of 2300 t.v. viewers, 690 said they watch network news programs. find the margin of error for the 95% confidence interval used to estimate the population proportion.
Margin of error for the 95% confidence interval used to estimate the population proportion is 0.0187
It is given that out of 2300 tv viewers, 690 said they watch network news program.
Sample n=2300
Number that watch network program (x)=690
We now find the margin error:
For 95% confidence interval, z-value is 1.96 from Chi-square distribution
We now get the point estimate, p:
p=x/n, where x=690, and n=2300
=690/2300
=0.3
Margin of Error=[tex]z*\sqrt{\frac{p*(1-p)}{n} }[/tex]
[tex]=1.96*\sqrt{\frac{0.3*(1-0.3)}{2300} }[/tex]
=0.0187
Hence, the margin error is 0.0187
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4-1/2-1-3
What is the answer
What is the image point of (-8,-6) after the transformation R90° T-4,-4?
The image point of the given parent point (-8,-6) after the transformation R 90° and T-4,-4 is (10, -12).
What is a meaning of the term transformation?When one figure is relocated from one place to the next without altering its structure, shape, or orientation, a transition known as translation takes place. If we are aware of the direction and magnitude of the figure's movement, we may draw the translation in the coordinate plane.For the given question.
Let the given point be;
P --> (-8, -6)
Translation the function by T-4,-4.
P'--> (-8 - 4, - 6-4)
P'--> (-12, - 10)
Now, rotation the function by 90 degrees.
The new coordinates be-
P' (x, y) ----> P''(-y, x)
P''(-y, x) = (10, - 12)
Thus, the image point of the given parent point (-8,-6) after the transformation R 90° and T-4,-4 is (10, -12).
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Triangle XYZ has vertices X: (0,2) Y: (3,8), and Z: (6,2). Show that the triangle is isosceles by determining the length of each side.
Answer:
Step-by-step explanation:
formula used= [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
XY= [tex]\sqrt{(3-0)^2+(8-2)^2}[/tex] = [tex]\sqrt{9+36} =\sqrt{45}[/tex] (here x1=0, x2=3, y1=2, y2=8)
YZ= [tex]\sqrt{(6-3)^2+(2-8)^2}[/tex] = [tex]\sqrt{9+36} = \sqrt{45}[/tex]
ZX= [tex]\sqrt{(6-0)^2+(2-2)^2}[/tex] = [tex]\sqrt{36+0} = \sqrt{36}[/tex]
as you can see side XY=YZ=45
so triangle XYZ is an isosceles triangle
hope this helps :)
A race is 36.9 miles long. There is a water station every 1 23/100 miles along the race route. What is the total number of water stations?
The total number of water stations is 30.
Given:
A race is 36.9 miles long. There is a water station every 1 23/100 miles along the race route.
Total number of water stations = 36.9/1 23/100.
= 36.9/100+23/100
= 36.9/123/100
= 36.9/1.23
= 369/10/123/100
= 369*100/123*10
= 369*10/123
= 3*10
= 30.
Therefore the total number of water stations is 30.
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if 2/3 kg of beef cost p160 then how much will 6 2/5 kg of beef cost
Please solve it with solution i need this ASAP thank u :)
Answer:
1536 p
Step-by-step explanation:
6 2/5 kg / ( 2/3 kg/160 p) = 1536 p
Select the correct answer. Solve the equation using the method of completing the square. (3x)^2+24x-24=0
[tex](3x)^2+24x-24=0\\\\ \bold{(3x)^2+2\cdot3x\cdot4+4^2}-4^2-24=0\\\\(3x-4)^2-16-24=0\\\\\large\text{$\bold{(3x-4)^2-40=0}$}[/tex]
K-
Use the formulas developed in this section to find the area of the
figure.
(Simplity your answer.)
13 in
10 in
22 in
17 in.
4
Grac
se
who are the potential candidates for entrepreneurship
The table below represents points on a line.
X, -5 y, 16
X, -4 y, 13
X, -3 y, 10
X, -2 y, 7
What is the slope of this line?
slope of this line is -3.
Given table:
X, -5 y, 16
X, -4 y, 13
X, -3 y, 10
X, -2 y, 7
slope m = y2 - y1 / x2 - x1
Take any two points (-5,16) and (-4,13).
slope m = 13 - 16 / -4 - (-5)
= -3/-4+5
= -3/1
= -3
Therefore slope of this line is -3.
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