Answer:
New cost of the shirt=$39.028416
Step-by-step explanation:
Target is having a Back to School sale where all polo shirts are discounted by 20%. Joshua wants to buy five shirts: two cost $10.98 each, one costs $11.50, and two others cost $15.99 each. Joshua remembered he had a coupon in his pocket that would take an additional 30% of the shirts. Which choice represents the new total cost of the shirts including the sales tax of 6.5%
Solution
Two shirts cost=$10.98 each
One shirt cost=$11.50
Two shirts cost=$15.99 each
Total cost of shirts=(2*$10.98 + $11.50 + 2*$15.99)
=$21.96 + $11.50 + $31.98
=$65.44
All polo shirts are discounted by 20%
It means he would pay 100%-20% of the total cost
100%-20%=80%
Discounted price=$65.44 * 80%
=$65.44 * 0.8
=$52.352
He has a coupon of 30% off the shirt
100% -30%=70%
=$52.352*70%
=$52.352 * 0.7
=$36.6464
Plus Sales tax of 6.5%
6.5% of $36.6464
=0.065* $36.6464
=$2.382016
New cost of the shirt=$36.6464 + $2.382016
=$39.028416
earth is 93 million miles from the sun, while mars is 142 million miles from the sun. Theoretically, what is the closest distance mars could be to earth
Answer:
169.74
Step-by-step explanation:
this problem is like a triangle, the sun, mars, and earth are the three points, so you just use a^2 + b^2 = c^2 so basically
93^2 + 142^2 = c^2
8649 + 20164 = 28813
28813 square root = 169.74
Parabolic microphones are used for field audio during sports events. The microphones are manufactured such that the equation of their cross section is x=1/34y^2, in inches. The feedhorn part of the microphone is located at the focus
a. How far is the feedhorn from the edge of the parabolic surface of the microphone?
b. What is the diameter of the microphone? Explain your reasoning
c. If the diameter is increased by 5 inches, what is the new equation of the cross section of the microphone?
Answer:
a. 8.5 in.
b. 34 in
c. x = 1/39 x^2.
Step-by-step explanation:
Part a.
x = 1/34 y^2
y^2 = 34x
Comparing with y^2 = 4px where p is the focus:
4p = 34
p = 8.5 in.
Part b.
The diameter = 4p = 34 in.
Part c.
Diameter = 4p = 34 + 5 = 39 in
The new equation is x = 1/39 x^2.
Write a function rule for the table
х
f(x)
0
3
1
4
2
5
3
6
Answer:
f(x) = x +3
Step-by-step explanation:
The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.
__
The slope-intercept form of a linear function is ...
y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).
A suitable function rule is ...
f(x) = x +3
Solve for x 3(x+7)-14=22
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your equation step-by-step.
[tex]3(x+7)-14=22[/tex]
Step 1: Simplify both sides of the equation.
[tex]3 ( x + 7 ) - 14 = 22\\(3)^(x) + (3) (7) + - 14 = 22[/tex] (Distribute)
[tex]3x + 21 + -14 = 22[/tex]
[tex]( 3x) + (21 + -14 ) = 22[/tex] (Combine Like Terms)
[tex]3x + 7 = 22\\3x + 7 = 22[/tex]
Step 2: Subtract 7 from both sides.
[tex]3x + 7 - 7 = 22 - 7 \\3x = 15[/tex]
Step 3: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{15}{3} \\x = 5[/tex]
So your answer would be : [tex]\boxed {x = 5}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
If triangle ABC, m B = 90°, cos(9 = 17, and AB = 16 units.
Based on this information, m
Note that the angle measures are rounded to the nearest degree.
units.
Answer:
m∠A = 62°
m∠C = 28°
AC = 17 units
Step-by-step explanation:
In the given triangle ABC,
m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units
Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]
Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]
[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]
m∠C = 28.07°
m∠C ≈ 28°
Therefore, side BC = 15 units and AC = 17 units
Now we apply Sine rule in the given triangle.
Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{BC}}{\text{AC}}[/tex]
= [tex]\frac{15}{17}[/tex]
A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]
A = 61.93°
m∠A = 62°
Simplify 6 to the second power
Answer:
36Step-by-step explanation:
[tex]6^2 =6\times 6\\\\= 36[/tex]
need help...!!ASAP..!! plz....
the answer for this is A
Answer:
Correct option is A
Step-by-step explanation:
3x - 7
Three times a number x minus 7
Or
The difference of there times a number and 7
If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team? 6 p = 42 7 p = 42 6 + p = 42 42 - p = 6
If everybody on the team scores 6 points, and the team has a total of 42 points, the people that are on the team are 7 people.
What is addition?The addition is one of the four basic mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
The addition is a method of merging items and counting them as a single, large group. In mathematics, addition is the process of joining two or more integers.
The process of adding two or more numbers together to get their sum is known as an addition. The addition is a fundamental arithmetic operation that is used to compute the sum of two or more numbers. For instance, 7
+ 7 = 14.
6p = 42
P = 42/6
P = 7
Therefore, the people that are on the team are 7 people.
To learn more about addition, refer to the link:
https://brainly.com/question/29560851
#SPJ2
For all x, 5-3(x-4)=?
Answer:
the answer that i find is 17-3x
PLEASE HELP!! It’s for a math class and I can’t figure it out been trying every website nothing has helped!
Answer:
11.6%
I hope this helps!
please help me solve
Answer:
18 square centimeters
Step-by-step explanation:
Notice that if e is the midpoint of the side CB, and angle [tex]\angle x = 45^o[/tex], then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 [tex]cm^2[/tex]
Answer:
(B) 18
Step-by-step explanation:
The angle x is 45 degrees. Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.
90 - 45 = 45
Since AB is 3, DC is 3. Since the right triangle DC is 45-90-45, the other side, CE, will also be 3. Since CE is half of the side of the rectangle, multiply it by 2 to get 6. The sides of the rectangle are 3 and 6. Use the formula for area of a rectangle to solve.
A = lw
A = (6)(3)
A = 18
The answer is B.
According to the graph, what is the value of the constant in the equation
below?
A. 30
B. 72
C. 60
D. 15
Greetings from Brasil...
As stated in the statement:
HEIGHT = CONSTANT ÷ WIDTH
H = C ÷ W
so, isolating the variable C....
C = H · W
choosing any point on the graph...
(2; 30) ⇒ W = 2 and H = 30
C = H · W
C = 30 · 2
C = 60The value of the constant in the equation shown in the figure would be, 60. Hence option C is true.
Given that,
The graph is the relation between Height and width.
As is given in the graph:
Height = Constant / Width
We observe that the graph passes through (2,30), (5,12), (10,6), (30,2)
So, by using any one point we may get the value of constant( since it is a fixed quantity)
Hence, using the point (2,30)
Width = 2
And, Height = 30
So, we get:
Constant = 2 × 30
= 60
To learn more about multiplication visit:
https://brainly.com/question/10873737
#SPJ6
Just need help
the equations are above
Answer:
6×4p=24p
15a÷3=5a
3t×8y=24ty
24ef÷12e=2f
-4fx-5px-3 =-x(4f+5p)-3
-9abc÷3a=-3bc
Prove the identity sin^2theta x csc^2 theta = sin^2 theta + cos^2 theta 20 points!!
Answer:
Step-by-step explanation:
sin² Θ csc² Θ =sin² Θ + cos² Θ
sin² Θ 1/sin² Θ = sin² Θ + cos² Θ
1 = sin² Θ + cos ² Θ (this is a trig identity)
2 hours 40 minutes +11 hours 40 minutes
Answer:
14 hours 20 minutes
Step-by-step explanation:
→ Convert 2 hours and 40 minutes into minutes
2 hours + 40 minutes ⇒ 2 hours = 120 minutes + 40 minutes ⇒ 120 + 40 ⇒ 160 minutes
→ Convert 11 hours and 40 minutes into minutes
11 hours + 40 minutes ⇒ 11 hours = 660 minutes + 40 minutes ⇒ 660 + 40 ⇒ 700 minutes
→ Add the total minutes together
700 minutes + 160 minutes = 860 minutes
→ Convert 860 minutes into hours
860 minutes = 14 hours + 20 minutes
PLEASE HELP ME FAST...
Answer:
Sequence a) Pattern: (-2) -9, -11, -13, -15, -17
Sequence b) Pattern: (-5) -15, -20, -25, -30, -35
Sequence c) Pattern: (-6) -13, -19, -25, -31, -37
Hope this helps!
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
A (Subtracting by 2): -9, -11, -13, -15, -17.
B(Subtracting by 5): -15, -20, 25, -30, -35
C(Subtracting by 6): -13, -19, -25, -31, -37
[tex] \frac{ {9x}^{2} - {(x}^{2} - 4) {}^{2} }{4 + 3x - {x}^{2} } [/tex]
pls help me need help asap
Answer:
[tex] { x^2+3x-4} [/tex]
Step-by-step explanation:
Factor top and bottom.
The numerator is a difference of two squares, and the denominator is a quadratic.
[tex] \frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} } [/tex]
= [tex]\frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}[/tex]
= [tex] \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)} [/tex]
If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give
= [tex] { (x-1)(x+4)} [/tex]
= [tex] { x^2+3x-4} [/tex]
Answer:
The answer is
x² + 3x - 4Step-by-step explanation:
[tex] \frac{9 {x}^{2} - ( { {x}^{2} - 4})^{2} }{4 + 3x - {x}^{2} } [/tex]
To solve the expression first factorize both the numerator and the denominator
For the numerator
9x² - ( x² - 4)²
Expand the terms in the bracket using the formula
( a - b)² = a² - 2ab + b²
(x² - 4) = x⁴ - 8x² + 16
So we have
9x² - (x⁴ - 8x² + 16)
9x² - x⁴ + 8x² - 16
- x⁴ + 17x² - 16
Factorize
that's
(x² - 16)(-x² + 1)
Using the formula
a² - b² = ( a + b)(a - b)
We have
(x² - 16)(-x² + 1) = (x + 4)(x - 4)( 1 - x)(1 + x)
For the denominator
- x² + 3x + 4
Write 3x as a difference
- x² + 4x - x + 4
Factorize
That's
- ( x - 4)(x + 1)
So we now have
[tex] \frac{(x + 4)(x - 4)( 1 - x)(1 + x)}{ - (x - 4)(x + 1)} [/tex]
Simplify
[tex] \frac{ - (x + 4)(1 - x)(1 + x)}{x + 1} [/tex]
Reduce the expression by x + 1
That's
-( x + 4)( 1 - x)
Multiply the terms
We have the final answer as
x² + 3x - 4Hope this helps you
The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm? A. 4 cm B. 8 cm C. 16 cm D. 18 cm
Answer:
guys its 8cm its the most logic answer because 8x 4 is 32, correct me if im wrong
Step-by-step explanation:
What is the volume of this rectangular prism?
3 cm
cm
1
cm
Answer:
.75cm³
Step-by-step explanation:
To find the volume of a shape like this it is,
base×height×width.
In this case it is .5×.5×3=.75cm³
Answer:
3/4 or 0.75
Step-by-step explanation:
Length times width times height:
1/2 * 1/2 * 3
= 3/4
Please answer this question now
Answer:
A≈422.37
You use the equation A=πr(r+h2+r2) to find the surface area of a cone
Answer:
373.99 sq cm
Step-by-step explanation:
formula for surface area of cone is: πr(r+s) where r is radius and s is slant height.
π*7(7+10) = π*7(17) = π*119 = 3.14*119 = 373.99 sq cm
Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.
Answer:
he invented the point
he was a German mathematician
he Hilbert's improvements to geometry are still used in textbooks today
he developed Hilbert's axioms
Step-by-step explanation:
Answer:
He was a German mathematician.
If only one is true then you're good to go.
Whoops never mind.. :/
when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?
Answer:
x-3 is cancelled and just one remains in numerator.
when the point ( k, 3 ) lies on each of these lines, find the value of k y= 3x+1 , y= 4x-2 , y=1/2x - 1 and 2x+3y=4
Answer:
see explanation
Step-by-step explanation:
Since (k, 3) lies on each of the lines, the point satisfies the equations.
Substitute x = k, y = 3 into each and solve for k
y = 3x + 1
3 = 3k + 1 ( subtract 1 from both sides )
2 = 3k ( divide both sides by 3 )
k = [tex]\frac{2}{3}[/tex]
-------------------------------------------------------
y = 4x - 2
3 = 4k - 2 ( add 2 to both sides )
5 = 4k ( divide both sides by 4 )
k = [tex]\frac{5}{4}[/tex]
--------------------------------------------------------
y = [tex]\frac{1}{2}[/tex] x
3 = [tex]\frac{1}{2}[/tex] k ( multiply both sides by 2 to clear the fraction )
k = 6
---------------------------------------------------------
2x + 3y = 4
2k + 3(3) = 4
2k + 9 = 4 ( subtract 9 from both sides )
2k = - 5 ( divide both sides by 2 )
k = - [tex]\frac{5}{2}[/tex]
2x + 3y = 40
5x + 2y = 30
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
A) Let's solve for x. [tex]2x + 3y = 40[/tex]
Step 1: Add -3y to both sides.
[tex]2x + 3y + -3y = 40 + -3y[/tex]
[tex]2x = -3y + 40[/tex]
Step 2: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{-3y + 40}{2}[/tex]
[tex]x = \frac{-3}{2} y + 20[/tex]
Answer : [tex]\frac{-3}{2} y + 20[/tex]
~~~~~~~~~~~~~~~~~
B) Let's solve for x. [tex]5x + 2y = 30[/tex]
Step 1: Add -2y to both sides.
[tex]5x + 2y + -2y = 30 + -2y[/tex]
[tex]5x = -2y + 30[/tex]
Step 2: Divide both sides by 5.
[tex]\frac{5x}{5} = \frac{-2y + 30}{5}[/tex]
[tex]x = \frac{-2}{5} y + 6[/tex]
Answer : [tex]\frac{-2}{5} y + 6[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Scarlett made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with angle AD on the scaled copy of the quadrilateral? Choose 2 answers.
Answer:
Step-by-step explanation:
First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.
So the answer must be 12 or 15 from those answers given.
Answer:
Answer
Step-by-step explanation:
The answer is 12 AND 15
D and E
The ratio of two numbers is 2:3 and the sum of their cubes is 945,what are the two numbers. let the 1st no be=2x and 2nd=3x (2x)^3 + (3x)^3=945
Answer:
The first number is 6, the second number is 9Step-by-step explanation:
a:b = 2:3
a = 2x - first number
b = 3x - second number
a³ + b³ = 945
[tex](2x)^3 + (3x)^3=945\\\\8x^3 +27x^3=945\\\\35x^3 = 945\\\\x^3=945:35\\\\x^3=27\\\\ x^3=3^3\\\\x=3\\\\\\a=2\cdot3 = 6\\\\b=3\cdot3=9[/tex]
Which statement is false? Question 4 options: All whole numbers are integers. All natural numbers are whole numbers. All real numbers are irrational numbers. All whole numbers are real numbers.
Answer:
C
Step-by-step explanation:
Not all real numbers are irrational.
What is the asymptote of the function g(x) = 5⋅2^ 3x + 4 shown on the graph?
Answer:
y=4
Step-by-step explanation:
An exponential function of the form has a horizontal asymptote of .
The given function is .
The graph of the given function is shown in the attachment.
From the graph the horizontal asymptote is
What is the answer??
c — 10 ≥ 15
Answer:
Step-by-step explanation:
c - 10 ≥ 15 =
c ≥ = 15 + 10
c ≥ = 25
c = 26 ( or numbers above 26)
What are the factors of the quadratic function represented by this graph?
A.
(x − 1) and (x − 5)
B.
(x + 1) and (x + 5)
C.
(x − 1) and (x + 5)
D.
(x + 1) and (x − 5)
The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]
Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.
So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.
To know more about quadratic equation follow
https://brainly.com/question/1214333
#SPJ2
Answer:
Check Screenshot
Step-by-step explanation:
