Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the percent of decrease to the nearest tenth. Are the percent of change the same for both price changes? If not, which is a greater change?
Please, need answer in 5 minutes
The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.
Answer:
2.49-1.99= 0.5
0.5 divided by2.49 times 100 is about 20% decrease
1.99-2.49+0.5 also so it is also a 25 percent increase
Step-by-step explanation:
5.
Solve the equation.
(4x+10)^1/4 = (9+7x)^1/4
Answer:
1/3
Step-by-step explanation:
[tex]\sqrt[4]{4x+10}[/tex] = 4x+10 ^1/4
[tex]\sqrt[4]{9+7x}[/tex]= 9+7x^1/4
Since they are under the same root, you can combine them under the root.
Then you change the +/- sign of one side of the equation to move to the other side of the equation.
To get....[tex]\sqrt[4]{-3x+1}[/tex]=0
^4 both sides to get..
-3x+1=0
Move 1 to the other side...
-3x=-1
divide both sides by -3
x=1/3
help Write an equation for a line perpendicular to y=-4x+4 and passing through the point (-12,-8)
Answer: [tex]y=\frac{1}{4} x-5[/tex]
Step-by-step explanation:
Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:
[tex]y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5[/tex]
Notice how I plugged in the points given.
A company which sells farm equipment must pay a federal tax of 5.5% on every sale. Last month the company’s sales totaled $335,000. How much federal tax is owed?
Answer:
Federal tax amount = $18,425
Step-by-step explanation:
Given:
Total sales amount = $335,000
Federal tax rate = 5.5%
Find:
Federal tax amount = ?
Computation:
⇒ Federal tax amount = Total sales amount × Federal tax rate
⇒ Federal tax amount = $335,000 × 5.5%
⇒ Federal tax amount = $335,000 × 0.055
⇒ Federal tax amount = $18,425
Therefore, total amount of federal tax owed is $18,425
Help me im just too lazy to figure it out :)
Answer:
m=-16
Step-by-step explanation:
To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-35=m-19
19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.
-35+19=m-19+19
-35+19=m
-16=m
Let's check our solution. Plug -16 back in for m in the original equation.
-35=m-19
-35=-16-19
-35=-35
Both sides of the equation are the same, so we know that m is equal to -16.
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. How much was the error in his estimate? Error = (Approximate value) − (Exact value) -$175 -$25 $25 $175
Answer:
The error of his estimate was $25.
Step-by-step explanation:
The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:
[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]
The error of his estimate was $25.
Answer:
C
Step-by-step explanation:
i got itright
At the corner store near Billy’s
house, loose mixed nuts cost
$1.75 per 100 g. Write an
equation to represent the amount
of mixed nuts, n, he can buy if he
has d dollars. Then, use your
equation to determine how many
grams of mixed nuts Billy can buy
if he has $5.
Answer:
d = 0.0175n ---> required equation
Billy can buy 285.714 gram nut with $5
Step-by-step explanation:
cost of 100g loose nut = $1.75
dividing LHS and RHS by 100
cost of 100/100g loose nut = $1.75
Thus, cost of 1 gm loose nut = $0.0175
let the weight of loose nut be n gm
Multiplying LHS and RHS by n
cost of x g loose nut = $0.0175*n = $0.0175n
It is given that Billy spent d dollars to buy n gm nuts
thus,
d = 0.0175n ---> required equation
________________________________________________
He spent $5 to buy nuts
substituting value of d as 5 we have
0.0175n = 5
=>n = 5/0.0175 = 285.714
Thus, Billy can buy 285.714 gram nut with $5.
The solution set for -p2 − 11p = 0 is { }. (Separate the solutions with a comma.)
Answer:
0,-11
Step-by-step explanation:
-p^2 − 11p = 0
Factor out -p
-p( p+11) =0
Using the zero product property
-p =0 p+11 =0
p =0 p = -11
Find the area of a circle with diameter,
d
= 10m.
Give your answer in terms of
π
.
Answer:
A = 25pi m^2
Step-by-step explanation:
We know the diameter, we need the radius
r = d/2
r = 10/2 = 5
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi m^2
this camera stuff stinks but i need help on this
Answer: 4.2
Step-by-step explanation:
the coefficient is the number used to multiply a variable. here, the variable is x, and it is being multiplied by 4.2.
so the coefficient of the equation is 4.2
Can someone teach me how to do this
What is the value of the angle marked with x
Answer:
50
Step-by-step explanation:
opposite angles are equal so 50 is corresponding with x
Answer:
x = 50
Step-by-step explanation:
Parallelogram have opposite sides parallel and equal in length. The opposite angles are equal.
x = 50
Given ΔJKL, the following steps were performed to construct triangle ΔXYZ so that ΔJKL ≅ ΔXYZ.
1.Copy side JL to form XZ.
2.Copy angle ∠LJK to form ∠ZXY.
3. Copy side JK to form XY.
4. Construct segment YZ.
Which congruency theorem can be applied to prove that the triangles are congruent?
a) ASA
b) SSS
c) AAS
d) SAS
Answer:
it's SAS. You've probably found out by now sorry :/
Step-by-step explanation:
Answer:
sas
Step-by-step explanation:
What is the measure of each interior angle of a
regular 15-gon?
Answer:
156
Step-by-step explanation:
1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)
2) Plug in 15 for n
180(15-2)
3) Solve
180(15-2)
180(13)
2340
4) There are 15 angles in a 15-gon
5) Divide sum of interior angles by number of interior angles
2340/15 = 156
6) So, the answer is 156 degrees
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
f⁻¹(f(6.022)) = 6.022
f⁻¹(-10) + f(-6) = -6 + -10 = -16
Step-by-step explanation:
f⁻¹(f(x)) = x
so f⁻¹(f(6.022)) = 6.022
inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6
f⁻¹(-10) + f(-6) = -6 + -10 = -16
x + (-13)= -5 what is the solution to the following equation
Answer:
Adding 13 to both sides we get x = 8.
Answer:
x = 8
Step-by-step explanation:
x - 13 = -5
x = 8
solve a²b³-(ab)² if a=-2 and b=3
Answer:
The answer is 72.
Step-by-step explanation:
You have to put in the values of a and b into the expressions :
[tex] {a}^{2} {b}^{3} - {(ab)}^{2} [/tex]
[tex]let \: a \: = - 2 \\ let \: b = 3[/tex]
[tex] {( - 2)}^{2} \times {(3)}^{3} - {( - 2 \times 3)}^{2} [/tex]
[tex] = 4 \times 27 - { (- 6)}^{2} [/tex]
[tex] = 108 - 36[/tex]
[tex] = 72[/tex]
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
Step-by-step explanation:
Part A
[tex]V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\[/tex]
Part B
[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in[/tex]
Solve 1 over 25 = 5x + 4. (1 point)
Answer: x=-0.792
Step-by-step explanation:
For this problem, you want to get like terms onto one side, then solve for x.
[tex]\frac{1}{25}=5x+4[/tex]
[tex]-\frac{99}{25} =5x[/tex]
x=-0.792
Compare and contrast :
1. Directed graph and indirected graph
2 Weighted and unweighted graph
The table shows ordered pairs of the function y = 16 + 0.5x .
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?
(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)
Answer: The missing values represented by x and y are 8 and 20, that is;
(x, y) = (8, 20)
Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.
The ordered pairs simply means for every value of x, there is a corresponding value of y.
The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).
This means when x equals negative 4, y equals 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 + (-2)
y = 16 - 2
y = 14
Therefore the first pair, just like the other four pairs all satisfy the equation.
Hence, looking at the options given, we can determine which satisfies the equation
(option 1) When x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) When x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) When x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.
Answer:
The missing values represented by x and y are 8 and 20, that is;
(x, y) = (8, 20)
Step-by-step explanation:
The perimeter of a square is 48 cm. What is the area in square
centimetres?
2 points
Answer:
144cm²
Step-by-step explanation:
(2 +76÷1+9)+4-3x7 equal?
Solve 4x -1 = 3x – 5 pls answer
Answer:
[tex]\fbox{\begin{minipage}{4em}x = -4\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Equation: [tex]4x - 1 = 3x - 5[/tex]
Solve for:
[tex]x[/tex]
Solution:
Step 1: Select relevant approach:
Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from positive to negative and negative to positive), then solve for [tex]x[/tex]
Step 2: Perform the calculation:
[tex]4x - 1 = 3x - 5[/tex]
Moving components:
<=> [tex]4x - 3x = 1 - 5[/tex]
Performing simplification to get [tex]x[/tex]
<=>[tex]x = -4[/tex]
Hope this helps!
:)
Uma lousa digital possui uma forma retangular e tem sua largura expressa pelo polinômio b+2. Sendo sua área igual ao polinômio B ao quadrado + 5b+ 6, qual é o polinômio que expressa a altura dessa lousa?
Answer:
b+3
Step-by-step explanation:
Largura : b+2
Área: b² +5b +6
Sabe-se que a área de um retângulo é dada pela largura multiplicada pela altura.
A partir dos zeros da equação da área é possível encontrar o polinômio da altura:
[tex]b^2 +5b +6\\b=\frac{-5\pm \sqrt{25-4*1*6} }{2} \\b'=-2\\b''=-3[/tex]
Visto que o polinômio da largura é b+2, para que a equação da área seja válida, o polinômio da altura deve ser b+3.
A prova pode ser feita pela multiplicação dos polinômios:
[tex]A = L*H\\A=(b+2)*(b+3)\\A=b^2+5b+6[/tex]
Can someone please help me??
Answer:
A∪B = {0,1,3,5,6,7,9}
A∩B = {3}
Step-by-step explanation:
A = {1,3,5,7}
B = {0,3,6,9}
Now
A∪B is a union (unity) of both sets
A∪B = {0,1,3,5,6,7,9}
Now
A∩B is the intersection(common elements) of both sets
A∩B = {3}
Answer:
Step-by-step explanation:
A ={1, 3 , 5 , 7}
B= {0, 3 , 6 , 9}
A U B is a set of all distinct elements that are in A or B
A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}
A ∩ B is a set of all distinct elements that are in both A & B
A ∩ B = {3}
If sin 30º = cos(3x), then x=_
Answer:
x = 20º
Step-by-step explanation:
we know that sin x = cos(90-x)
Hence
sin 30º = cos(90 - 30)º
sin 30º = cos 60º
hence sin 30º can be also written as cos 60º
Also, as given
sin 30º = cos(3x)
therefore
cos 60º = cos(3x)
as we have cos on both side then angle for both side will be same
60º = 3x
=> 60º / 3 = x
=> x = 20º
Then x = 20º is answer.
What is the slope of a line perpendicular to the line whose equation is
12x + 9y = 162.
Fully reduce your answer.
Answer:
3/4
Step-by-step explanation:
Kerry read 2/3 of her chemistry book containing 420 pages. David read 3/4 of the same. Who read more pages and by how many pages?
Answer:
Kerry = 2/3 * 420 = 280
David = 3/4 * 420 = 315
David read more pages compared to Kerry.
David read 35 more pages than Kerry.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Chemistry book contains 420 pages.
Kerry read 2/3 of her chemistry book,
= 2/3 x 420
= 280 pages.
David read 3/4 of her chemistry book,
= 3/4 x 420
= 315 pages.
315 - 280 = 35 pages.
Therefore, David read more pages.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
Can anyone one give me the answer for this??!! Please hurry up to
Answer:
N=6
Step-by-step explanation:
As the answer is 6 and we already have 3 so the other half is 3. Half of 6 is three so n=6
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
180 meters
Step-by-step explanation:
The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).
So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.
-5(x-8)(x+4)
-5(x^2+4x-8x-32)
-5(x^2-4x-32)
-5x^2-20x-160
Vertex formula is: -b/2a
b = 20
a = -5
[tex]\frac{-20}{2(-5)}[/tex]
= 2
The x-coordinate of the vertex is 2.
Plug 2 into the equation
-5(2)^2+20(2)+160
= 180 meters
