Given:
Greeting card cost before tax = $4
Discount = 15%
Sales tax = 5%
To find:
How much will the customer pay for the card?
Solution:
It is given that the cost of the greeting card before tax is $4.
After 15% discount, the cost of the greeting card is:
Cost of card after discount [tex]=4-\dfrac{15}{100}\times {4}[/tex]
[tex]=4-0.6[/tex]
[tex]=3.4[/tex]
The cost of card after 5% sales tax is:
Cost of card after tax [tex]=3.4+\dfrac{5}{100}\times 3.4[/tex]
[tex]=3.4+0.17[/tex]
[tex]=3.57[/tex]
Therefore, the customer will pay $3.57 for the greeting card.
Marcus wrote an expression equivalent to 7(x+8). Liz wrote a different expression that has the same value as Marcus’ expression when x=2. What could Liz’s expression be?
Cynthia wants to know the favorite band of all 5th graders in her school. She asks 10 of her friends from the 5th grade Art Club.
How would you describe this sample?
Question 8 options:
This is a valid sample since she only asked 5th graders.
This sample is valid because it is a Simple Random Sample.
This sample is invalid because it is a Systematic Random Sample.
This sample is invalid because it is a Convenience Sample.
I think this is invalid because it is a convenience sample. All of the 5th graders she asked were her friends, and they were all in the art club.
Select all the quadrilaterals that describe the figure
Answer:
Parallelogram and Rhombus
These two quadrilaterals describe the figure
An equation is given.
2x = 26
which calculation would need to be done to solve the equation?
a. divide both sides by 2
b. divide both sides by 26
c. multiply both sides by 2
d. multiply both sides by 26
Answer:
option A is correct answer
divide both sides with 2
hope it helps
Answer:
option A is the right condition to be fulfilled to solve the equation.
Log 8 1/32 is equaled to
Answer:
I think the answer wold be -5/3 or -1.666666667 .
The value of the given expression is,
[tex]log_8 \frac{1}{32}[/tex] = -3/5
The given logarithmic expression is,
[tex]log_8 \frac{1}{32}[/tex]
Since we know that,
The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to expressing enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.
We can write the given expression as,
[tex]log_8 \frac{1}{32}[/tex] = [tex]log_8 32^{-1[/tex]
= - [tex]log_8 32[/tex] [ [tex]log_a b^x = x log_a b[/tex]]
= - [tex]log_{2^3} 2^5[/tex]
= - [tex]\frac{3}{5} log_{2} 2[/tex] [ [tex]log_{a^y} b^x = \frac{x}{y} log_a b[/tex]]
= -3/5 [ [tex]log_{a} a = 1[/tex]]
Hence,
[tex]log_8 \frac{1}{32}[/tex] = -3/5
To learn more about exponent visit:
https://brainly.com/question/31242910
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A car is traveling at an average speed of 80km/h.What is it's speed in meters per second (m/s)
Answer:
22.21 m/s
Step-by-step explanation:
1 hour = 80km
1 minute = 80000 ÷ 60 = 1.333km
1 second = 1.333 ÷ 60 = 22.21
Find the midpoint of A and B where A has coordinates (-3,-5) and B has coordinates (4,4).
Brainliest if you want :)
Use the midpoint formula,
[tex]\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right)[/tex]
where x₁ = -3, x₂ = 4, y₁ = -5, and y₂ = 4.
[tex]\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right) \implies \left( \dfrac{-3+4}{2} , \dfrac{-5+4}{2} \right) = \left(0.5, -0.5\right).[/tex]
So, the midpoint of A and B is (0.5, -0.5). It should be in the first quadrant.
What is the area of this rectangle?
544500 ......... is the answer
Answer:
The area of the rectangle is 544, 500 cm^2 or 54.45 m^2. (It depends on the requested unit—in cm squared or meters squared.)
Step-by-step explanation:
Area of a rectangle = length * width
A = 990 cm * 550 cm
A = 544, 500 cm^2
A = 54.45 m^2
Hope this helps; have a wonderful day!
Find the solution of the system of equations shown below. Show the work that leads to your answer. y = -2x x + y = 3
carlos es un arquitecto y esta construyendo una casa si ha construido 3/7 de la casa le falta para acabarla es lo mismo que llegar a 7/7
Answer:
Ok, sabemos que Carlos ha construido un 3/7 de una casa.
Queremos saber cuanto le falta para terminar de construirla.
Entonces podemos realizar el cálculo:
1 casa - lo que Carlos ya construyo = Lo que le falta.
Entonces:
1 casa - 3/7 de una casa = X
Podemos reescribir:
1 casa = 7/7 de una casas
así tenemos:
7/7 de una casa - 3/7 de una casa = X
(7/7 - 3/7) de una casa = X
4/7 de una casa = X
Así podemos concluir que a Carlos le falta construir 4/7 de una casa para acabar.
What is the area of a 24-inch rug? Use area of a circle formula: A = πr²
For a field trip 29 students rode in cars and the rest filled seven how many students were in each bus if 379 students were on the trip?
Answer:
50 students per bus
Step-by-step explanation:
You would need to subtract 29 from 379. You would get 350, then divide by 7.
or set up and equation
379=29+7x
pls help me with this question. will give brainliest.
q)Calculate the length of the side marked x in each of the following.
Answer:
points
Step-by-step explanation:
Find the surface area
please show work
Answer:
Step-by-step explanation:
The pentagon faces are made up of five triangle each with 9 ft bases and 6.2 ft heights. And there are five rectangular sides of 9 by 5 feet. So the total surface area is
A=2*5*9*6.2/2+5*9*5
A=279+225
A=504 ft^2
Answer:
Formula: nl(b + h) it is derived as well
504 ft²
Step-by-step explanation:
Each vertical face is a rectangle.
Area of each face = length x breadth = lb
For n-sided polygon, area of vertical faces = n x lb = nlb
For horizontal faces:
Observe: you can actually divide that face in 5 right-angled triangle(two edge point & centre form right angled ∆). [For n-sided, that's n right angled ∆]
For 2 such faces, you have 2 x n times of area of 1 ∆.
Area of 2n∆ = 2n( ½ x h x base(length)) = nhl
Total area = area of horizontal surfaces + area of vertical surfaces
Total area = nlb + nhl = nl(b + h)
Total area = 5*9(5 + 6.2) = 504 ft²
Erica has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 of a cup of yogurt. What is the maximum number of smoothies that Erica can make with the yogurt?
Answer:
4 smoothies.
Step-by-step explanation:
We divide 1/3 into 1 5/8 ( which is 13/8).
= 13/8 / 1/3
= 13/8 * 3
= 39/8
= 4 7/8
Maximum number = 4.
80% of c is 30. what is c?
Answer:37.5 is C
Step-by-step explanation:
You get this by using Butterfly method 80/100 = 30/x
I need help finding the area of a figure, it has 15ft of heigh on the left side, 20ft wide, and it's 20ft tall on the right side.
Answer:
Step-by-step explanation:
area=(20 ×20)÷2=200 sq . units
Need help with this!!
Answer:
a
Step-by-step explanation:
plz help i also have more questions up
Answer:
option D
Step-by-step explanation:
option D is the correct answer of this question.
100% .
plz mark my answer as brainlist plzzzz plzz.hope this will be helpful to you .
if you find it useful.
hey please help also please explain how you get the answer
Answer:
B. y=2x+5
Step-by-step explanation:
web you do rise/run, is 4/2 when you simplify that is 2/1 which is 2, y=2x. In the graph the red l8nes goes exactly through 5, which is positive. y=2x+5. I hope you could understand that.
After substituting, what is the first step when evaluating
4y+9
____
7 when Y = 87
Answer:
The "first step" is the multiplication of 4 and 87
Step-by-step explanation:
I'll assume that you actually meant 4y + 97. If you substitute 87 for y, you get 4(87) + 97. The "first step" is the multiplication of 4 and 87:
348 + 97, or
445
Help noW ASAP PLEASE AND THANK YOUUU
Answer:
8x+13
Step-by-step explanation:
It goes through all, trust me. Put the equation and the point in desmos, a graphing calculator
Some one pls help need soon
Answer:
1. [tex]-3x^{2} +6x+4[/tex]
2. [tex]3x^{2} -19x-14[/tex]
Step-by-step explanation:
1. Just subtract them. (To subtract easier, ignore the variables and subtract regularly. When you're done go back and put the variables back in)
2. Foil
[tex](3x +2)(x-7)[/tex]
[tex]3x^{2} -21x+2x-14\\3x^{2} -19x-14[/tex]
can someone help me ?
Answer:
d
Step-by-step explanation:
if she connects it to any other point angle would be more the 30 degree
Answer:
Its D, 30 is acute and the arrow points to the right
HELP WILL GIVE BRAINLIEST
The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more quickly?
Answer:
Tank A is filling faster
Step-by-step explanation:
On the graph, You can see that the line of tank A is rising far faster than tank B.
Answer:
Tank A is filling faster because it's a longer line.
If the circumference of a circle measures 3 4 π cm, what is the area of the circle in terms of π?
Answer:
Step-by-step explanation:
Answer:
289πStep-by-step explanation:
Circumference and area formulas
C = 2πrA = πr²Given
C = 34πFind r:
2πr = 34πr = 34π/2πr = 17Find the area:
A = πr² = π(17²) = 289πName the polynomial by degree and number of term 7x^6+2x^5
Answer:
The degree is 6 and there are 2 terms
Answer:
(a) Coefficient of x
5
=−6
Coefficient of x
2
=0
(b) Degree of polynomial = highest degree of monomial with non-zero coefficient =7
(c) Constant term = Coefficient of x
0
=−6
(d) Number of terms =4
Step-by-step explanation:
Solve for y.
4y - 5 + 3y = 30
y = [?]
Answer:
y equals 5. all you have to do is isolate the variable.
I need help please!!
Select all irrational numbers.
Answer:
Square root of 8, 10, and 15
Step-by-step explanation: