Coach Carmona is purchasing 6 soccer balls for his players.The unit price of the soccer balls is $29.99.The sales tax rate is 7%.Find the total tax paid
Answer: 180.36
Step-by-step explanation:
I wasn’t sure if the questions was saying each ball was 29.99 or the total of the soccer balls was 29.99 without tax.
How I got the answer:
29.99 was the cost per soccer ball and he needed 6 of them and the tax was 7% which equal up to 0.07.
29.99 times 6 = 179.94
0.07 times 6 = 0.42 (the more you buy the more the tax raises)
179 + 0.42 = 180.36
The total is 180.38
Which graph displays a directly proportional relationship?
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line passing through the origin.
The only straight line graph passing through the origin is the top one
The graph on option A displays a proportional relationship.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line on the graph is given as:
y = mx + c ____(1)
The graph on option A.
If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.
We will select two points on the graph.
i.e
(2, 2) = (a, b) and (3.3) = (c, d)
Slope:
m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1
Let (2, 2) = (x, y) and putting in (1) we get,
2 = 1 x 2 + c
2 = 2 + c
c = 2 - 2 = 0
c = 0
The slope of the line is 1
The equation of the line is y = x
Thus,
The graph displays a proportional relationship.
Option A is the correct answer.
Learn more about equation of a line here:
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The point A(-6,6) is reflected over the point (0,7) and its image is point B. What are the coordinates of point B?
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Explanation:
Let's label (0,7) as point C.
Plot points A and C on the same coordinate system.
Note that to go from A to C, we must do two things (in either order)
go up 1 unitgo to the right 6 unitsThese two items will be replicated in either order to go from point C to point B.
The translation rule we follow is [tex](x,y) \to (x+6, y+1)[/tex] which is a mathematical way of saying "go right 6 and up 1". If we plug in x = -6 from point A we get to x = 0 which is the x coordinate of point C. Repeating this leads to x = 6, which is the x coordinate of point B.
Through similar arguments, we go from y = 6, to y = 7, to y = 8, when we hop from points A, to C, to B in that exact order.
Put everything together and we see that B is located at (6,8)
The diagram below provides a visual summary.
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Extra info:
If we draw a line from point A to B, then point C will be on this line. Furthermore, AC = CB which can be proven using congruent triangles. Reflections preserve distance, meaning the distance from A to the mirror point C, is the same as from B to C as well. In short, we can say C is the midpoint of segment AB.
which equation represents the graphed function?
• y=4x - 2
• y=-4x-2
•y= 1/4x-2
•y=-1/4x-2
Answer:
y= 1/4x-2
Step-by-step explanation:
Let's use the two points we have to find the equation.
y = mx + b
-2 = m(0) + b
So b = -2
-1 = 4m - 2
4m = 1
m = 1/4
CAN U EXPLAIN HOW TO SOLVE THIS?!
Answer:
C
Step-by-step explanation:
Use Δ ABC to find AB then Δ ABD to find DB
Δ ABC is isosceles since ∠ CAB = ∠ CBA = 45° , then CB = CA = 2
Using Pythagoras' identity in Δ ABC , then
AB² = 2² + 2² = 4 + 4 = 8 ( take square root of both sides )
AB = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]
----------------------------------------------------------------
Using the sine ratio in Δ ABD with the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{DB}[/tex] = [tex]\frac{2\sqrt{2} }{DB}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] × DB = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
DB = [tex]\frac{4\sqrt{2} }{\sqrt{3} }[/tex] ( multiply numerator/ denominator by [tex]\sqrt{3}[/tex] to rationalise denominator )
= [tex]\frac{4\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{4\sqrt{6} }{3}[/tex] → C
hey does anyone get this?? THANK YOU (MARKING BRAINLIEST)
Answer:
i. - 3a² + 2ab + b²
ii. 2c² + - 2cd + - 4d²
Step-by-step explanation:
i. First things first, you remove the parenthesis in both expressions to look like this:
a² − 3ab + 2b² - 4a² + 5ab − b²
Next, you add like terms.
(a² + - 4a²) + (- 3ab² + 5ab) + (2b² + - b²)
After adding these like terms, your answer would be:
- 3a² + 2ab + b²
ii. This one is pretty simply. But first, lets simplify by first removing the parenthesis to look like this:
c² - 6d² + c² - 2cd + 2d²
Then, combine like terms
(c² + c²) + (- 2cd) + (-6cd² + 2d²)
After that, your sum would be:
2c² + - 2cd + - 4d²
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
i
(a² - 3ab + 2b²) + (- 4a² + 5ab - b²) ← remove parenthesis
= a² - 3ab + 2b² - 4a² + 5ab - b² ← collect like terms
= - 3a² + 2ab + b²
----------------------------------
ii
(c² - 6d²) + (c² - 2cd + 2d²) ← remove parenthesis
= c² - 6d² + c² - 2cd + 2d² ← collect like terms
= 2c² - 2cd - 4d²
i don’t know how to do this
Answer:
A2: 55
A1: 99-55+x:180
X:26
HELP PLEASE!What would happen if energy could not be transformed?
Step-by-step explanation:
If energy not transformed or changes than nothing will happen light bulb electrical energy will not converted into light energy and heat energy. ... The energy is not transformed into another form, it simply moves. It has a tendency to move, unless it is trapped, until it is released.
3. Which of the following equations represents a proportional relationship?
Answer:
The equation for the proportional relationship is y = 2.8x. If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
Step-by-step explanation:
Answer:
Where's the equation
yes she do break even because let me show you a expression now take a number line and then you start at -16 right and then you go down the number line and then this is how it go -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 and i just answer your Q there you go -16+16=0
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Evaluate 2x
2 + y if the values of x = 3, and y = 10
Answer:
6,12
Step-by-step explanation:
i have no idea what to do
do u want me to evaluate 1 problem or 2
Use the diagram to find lengths. BP is the perpendicular bisector of AC. CQ is the perpendicular bisector of BD. AB = BC = CD.
Answer:
because every point on the perpendicular bisector of a line is equidistant from the ends of that segment => AP = PC = 8cm
Step-by-step explanation:
Please helpp middle school math
suppose 4<a<7. find all the possible values of 15-2a
9514 1404 393
Answer:
1 < 15 -2a < 7
Step-by-step explanation:
There are a couple of ways you can do this.
1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:
15-2a for a=4:
15-2(4) = 7
15-2a for a=7:
15-2(7) = 1
Then ...
1 < 15-2a < 7
__
2) Solve for a in terms of the value of 15-2a, then impose the limits on a.
x = 15 -2a
2a = 15 -x
a = (15 -x)/2
Now, impose the given limits:
4 < (15 -x)/2 < 7
8 < 15 -x < 14 . . . multiply by 2
-7 < -x < -1 . . . . . . subtract 15
7 > x > 1 . . . . . . . . multiply by -1
1 < 15-2a < 7 . . . . . use x=15-2a
_____
The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.
Please help:) and please only answer if you really know the answer
15 POINTS AND 5 STARS
Answer: b.
Step-by-step explanation:
I am trying to find the area of my master bedroom. The measurements are 4x-3(L) 6x-6(W).
the answer keeps coming out to be Zero. And you have to have measurements for the room, so that doesn't make sense.
Substitute x as 4.
Answer:
L= -12
W= -36
Step-by-step explanation:
-12 x -36 = 432
so the area of your master bedroom is 432.
Solve the inequality: 10x<2x+12
Answer:
10x<2x+12
-2x -2x
8x<12
-- --
8 8
x<1.5
A cone’s height and its radius are each equal to half the radius of a sphere. How many of these cones would it take to equal the volume of the sphere?
Answer:
the answer is 32
Answer:
Wouldn't it be 2?
Step-by-step explanation:
PLEASE, I NEED HELP ASAP!!!!!!!!
What is the equation of the line that goes through A(3,2) and B(4,1)?
a) What is the slope?
b) What is the y intercept?
c) Use a and b to write the equation
Answer:
the slope is -1
the y-intercept is 5
equation: -x+5
Step-by-step explanation:
rise/run = slope
the point that goes through the y-axis is ur y-intercept
help me please. I really need it
Answer:
Step-by-step explanation:
can you post a better pic please
Answer:
Yes it is
Step-by-step explanation:
you're going up at a constant rate of 1.5 or down at a constant rate of 1.5
Question 2
1 pts
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation: D2 (1, y) = (2x, 2y). Find D4 for point
A (-2, 3).
Given:
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation:
[tex]D_2(x,y)=(2x,2y)[/tex].
To find:
The [tex]D_4[/tex] for point A (-2, 3).
Solution:
If [tex]D_2(x,y)=(2x,2y)[/tex], then
[tex]D_4(x,y)=(4x,4y)[/tex]
Substitute x=-2 and y=3 in the above rule to find [tex]D_4[/tex] for point A (-2, 3).
[tex]D_4(-2,3)=(4(-2),4(3))[/tex]
[tex]D_4(-2,3)=(-8,12)[/tex]
Therefore, [tex]D_4[/tex] for point A (-2, 3) is (-8,12).
A point is reflected across the y-axis. Jimmy says that the reflected point is \left(3.5,6\right), which means the original point was \left(3.5,-6\right). Is Jimmy's statement true or false?
Given:
A point is reflected across the y-axis. The reflected point is (3.5,6).
Jimmy says the original point is (3.5,-6).
To find:
Whether Jimmy's statement true or false
Solution:
If a point is reflected across the y-axis, then y-coordinate remains same but change the sign of x-coordinate.
[tex](x,y)\to (-x,y)[/tex]
If the reflected point is (3.5,6), then the original point must be (-3.5,6), which is not equal to (3.5,-6).
Therefore, Jimmy's statement is false.
Write two numbers that multiply to the value on top and add to value on bottom.
19. If the triangle below is equilateral, write an
expression using parentheses to show the
perimeter of the triangle. Then, give the
simplified expression.
4x - 3
Answer:
Perimeter of the triangle = (12x - 9)
Step-by-step explanation:
Property of an equilateral triangle:
- All sides are equal in measure.
- All interior angles are equal.
Since, measure of one side of the triangle = (4x - 3)
And perimeter of a polygon = Sum of all sides of the polygon
Therefore, perimeter of the given triangle = (4x - 3) + (4x - 3) + (4x - 3)
= (4x + 4x + 4x) - (3 + 3 + 3)
= (12x - 9)
Perimeter of the triangle = (12x - 9)
Please help me---------------------------
Answer:
Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.
The solution is: (1.2, -1.6)
Step-by-step explanation:
You can also test this by plugging the values of the point into both equations.
PLEASE HELP!! (Give reasonable answer)
Answer: B
Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)
TRUE OR FALSE
The x-coordinate of the point at which the graph of an equation crosses the x-axis is a(n) x-intercept.
Answer:
TRUE
Step-by-step explanation:
GIVE ME BRAINLIEST
(3-21)-(7+6) =
subtract complex numbers
Answer:
(3-21)-(7+6) = -31
Step-by-step explanation:
3-21 = -18 - 13= -31
Apples cost $0.45 per apple or $1.29 for 3. Which is the better buy?
Answer:
3 apples for 1.29
Step-by-step explanation:
If you divide 1.29 by 3, you will get 0.43 which means each apple then costs 0.43 each. This is less than 0.45 so it is the better value.
Answer:
$1.29 for 3
Step-by-step explanation:
The reason is that $0.45 per apple means for every apple, you have to pay $0.45. That eventually is going to start to add up. $1.29 for 3 means that you are paying $0.43 for 3, which means that you are saving money.
Please answer the blanks and I will mark you brainlist if you answer it and show it why
Answer:
2 dollars
72 dollars
Step-by-step explanation:
im not completely sure
Answer:
Arianna paid $2.75 for each photo coaster. If she purchased three dozen photo coasters, how much did she spend? $99.00
Step-by-step explanation: