A man buys furniture that has a list price of $255. He is allowed a discount of 12%
but must pay a sales tax of 3% on the cost. Which of the following is the amount he
actually pays for the furniture:
(A) $217.67
(B) $231.13 (C) $224.40 (D) $232.50 (E)
none of these.
Answer:
Option B. $231.13 is the correct answer.
Step-by-step explanation:
Given that
Listed price of furniture = P = $255
Discount = d = 12%
Sales tax = s = 3%
First of all, we have to find the discounted price by calculating the discount first
So,
[tex]Discount = 12\%\ of\ P\\= 0.12*255\\= 30.6[/tex]
Discounted Price:
[tex]= Listed\ Price - Discount\\= 255 - 30.6\\= 224.4[/tex]
The sales tax will be calculated on the discounted price
So,
[tex]Sales\ tax = 3\%\ of\ Discounted\ price\\= 0.03 * 224.4\\= 6.732[/tex]
Now,
[tex]Final\ price\ of\ furniture = Discounted\ price + Sales\ tax\\= 224.4 + 6.732\\=231.132[/tex]
He will actually pay $231.132 for the furniture.
Hence,
Option B. $231.13 is the correct answer.
Evalulate 7 3/4+(-2 1/5) x for x =-10
Answer:
2884
Step-by-step explanation:
First plug in -10 for x, which would look like this: 734 + (-215 * (-10) ) =
Then, first you calculate everything in the parenthesis, which is (-215) * (-10)
and the equation would look like this after you multiply: 734 + 2150 =
If you noticed the number turned out positive after we multiplied, that is because - number times a - number would always be positive, just like if you divide - number by a - number your answer would be positive.
Your last step would be adding 734 with 2150. : 734 + 2150 = 2884
+ 734
2150
_____
2884
And the answer would be 2884
Please answer this question (the photo attached)! I will give brainliest to the correct answer!
the floor of a shed has an area of 77 square feet the floor is in the shape of a rectangle whose lenght is 3 ft. less than twice the width find the lenght and the width of the floor of the shed use formula area= lenght *width the width of thee floor of the shed is how many feet ft.
Answer:
x=40
Step-by-step explanation:
2−3=77
2−3+3=77+3
2=77+3
2x=80
2x/2=80/2
x=80/2
x=40
The three graphs represent the types of solutions that are possible for a system of equations. Which graph represents a system of equations with no solution? On a coordinate plane, 2 lines have a positive slope. On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, 2 lines have a positive slope.
Answer:
the second one
Step-by-step explanation:
Answer:
The answer is B.) The second graph
Step-by-step explanation:
I just did he instruction on edge and got it right
find the value of x of this question
perpendicular=p=8cm
Hypontenuse =h =10cm
We need to find base=bAccording to Pythagoras thereon
[tex]{\boxed{\sf b^2=h^2-p^2}}[/tex]
Substitutethe values[tex]\longrightarrow[/tex][tex]\sf b^2=10^2-p^2[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt {10^2-8^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b={\sqrt{100-64}}[/tex]
[tex]\longrightarrow[/tex][tex]\bf b={\sqrt {36}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf b=6[/tex]
[tex]\therefore[/tex][tex]\overline{BC}=6cm[/tex]
BD=BC+CD
[tex]\longrightarrow[/tex][tex]BD=9+6[/tex]
[tex]\longrightarrow[/tex][tex]BD=15cm [/tex]
Now in [tex]\triangle ABD [/tex]Perpendicular=p=8cm
Base =b=15cm
We need to find Hypontenuse =AD(x)According to Pythagoras thereon
[tex]{\boxed {\sf h^2=p^2+b^2}}[/tex]
Substitute the values[tex]\longrightarrow[/tex][tex]\sf h^2=8^2+15^2 [/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {8^2+15^2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {64+225}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {289}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf h=17cm [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf x=17cm}}}[/tex]
The Statue of Liberty is about 1.5108×10 to the 2 power feet tall from the base to the torchThe pedestal is 1.54 X 10 to the 2 power feet tall . How tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch
Answer:
: The Statue of Liberty is about 1.5108×10 to the 2 power feet tall from the base to the torch The pedestal is 1.54 X 10 to the 2 power feet tall . How tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch
Step-by-step explanation:
Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)
Answer:
first one is 4
second is 2
Step-by-step explanation:
let me know if you need to show work
Answer:
first one is 4, 2nd one is 2
Step-by-step explanation:
At the store,Finlay bought 48 ounces of cand for $4.How many ounces could he buy for $1?
Answer:
12
Step-by-step explanation:
Answer:
12 ounces
Step-by-step explanation:
48÷4 = 12 ounces
Please solve for K.......
Answer:
k=140
Step-by-step explanation:
64+76=140
180-140=40
180-40=140
k=140
In how many ways can a president, vice president, and secretary be chosen from a class of 20 girls and 30 boys if the president must be a girl and the vice president a boy?
Given:
Number of girls = 20
Number of boys = 30
The president must be a girl and the vice president a boy
To find:
Number of ways to choose a president, vice president, and secretary.
Solution:
The president must be a girl and the vice president a boy. So, out of three students 1 is girl and 1 is boy. Third student can be a girl or a boy.
Total number of ways = Selecting 2 boys and 1 girl + Selecting 1 boy and 2 girls
[tex]=^{30}C_2\times ^{20}C_1+^{30}C_1\times ^{20}C_2[/tex]
[tex]=\dfrac{30!}{2!(30-2)!}\times \dfrac{20!}{1!(20-1)!}+\dfrac{30!}{1!(30-1)!}\times \dfrac{20!}{2!(20-2)!}[/tex]
[tex]=\dfrac{30\times 29\times 28!}{2\times 1\times 28!}\times \dfrac{20\times 19!}{19!}+\dfrac{30\times 29!}{29!}\times \dfrac{20\times 19\times 18!}{2\times 1\times 18!}[/tex]
[tex]=\dfrac{30\times 29}{2}\times 20+20\times \dfrac{20\times 19}{2}[/tex]
[tex]=8700+3800[/tex]
[tex]=12500[/tex]
Therefore, the required number of ways is 12500.
Hypotenuse a =?; b =40; c=50
a² = b² + c²
a² = 40² + 50²
a² = 1600 + 2500
a² = 4100
a = √4100
a = 64.03
Is 518 decimal number
Answer:
no
Step-by-step explanation:
because there is supposed to be a decimal point for example 5.18 there needs to be a period
Answer:
what do you mean there is not decimal in the number you could make it a decimal tho
it would be 5.18 as a decimal
Step-by-step explanation:
Help please! I’ll give brainliest!
Answer:
Corresponding
congruent interior
equation 9x+8=4x+18
angle measure 26
Explanation:
9x+8=4x+18
-4x = -4x
5x+8=18
-8 = -8
5x=10
x=10/5
x=2
---
so... now plug in 9(2)+8 = 18+8=26degrees
to confirm the angle should be the same for the next one
4x+18=26
solve for x
26-18=4x
8=4x
8/4=x
2=x
What is the value of x in the equation 3x-15=-18
Answer:
x = -1
Step-by-step explanation:
3x - 15 = -18
Add 15 to both sides;
3x = -3
Divide both sides by 3;
x = -1
Answer:
X=-1
Step-by-step explanation:
3x-15=-18
+15 +15
3x=-3
x=-1
Write the equation of a line PERPENDICULAR to y = 4x + 3 that passes through the point (4, 1)
Answer:
y = 1/4x
Step-by-step explanation:
The slope changes from 4 to 1/4
so,
y = 1/4x + b
Then, plug in (4,1) into the equation
1 = 1/4(4) + b
1 = 1 + b
b = 0
y = 1/4x + 0
y = 1/4x
using the arithmetic sequence 7 10 13 16 find the 6th term of the sequence
Make a fraction become a decimal
1. 55/300
2. 1 1/2
3.5/9
4. 2 3/4
5. 9/11
6. 4 1/9
Answer:
1. 0.18333333333
2. 1.5
3. 0.55555556
4. 2.75
5. 0.81818181818
6. 4.1111111111
Have a nice day, brainliest Please? :)
PLEASSSSEEE SOMEONEE HELPPP ILL DO ANYTHING
Answer:
[tex]m=\frac{1}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (0, 1)
Point (4, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-1}{4-0}[/tex]Subtract: [tex]m=\frac{1}{4}[/tex]Which statement is false? All points with an x-value of 3 are located in Quadrant I. There is only one point on the coordinate plane that is on both the x- and y-axes. All points with an x-value of 0 are located on the y-axis. There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.
Answer: Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
The false statement:
All points with an x-value of 3 are located in Quadrant I.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
From the given choices:
Let the statement is true.
All points with an x-value of 3 are located in Quadrant I.
Let the coordinate point (3, -7)
This point lies in the fourth quadrant.
Which is contradiction.
Therefore, the statement is false.
To learn more about the coordinates;
https://brainly.com/question/27749090
#SPJ6
Write an equation of the line that passes through a pair of points (2,3),(4,-2)
Answer:
y=-5/2x+13
Step-by-step explanation:
m=(-2)-3/4-2
m=-5/2
y-y=m(x-x1)
y-3=-5/2(x-2)
y-3=-5/2x+10
+3 +3
y=-5/2x+13
the longer diagonal is 4 more than the shorter diagonal of a kite. The area is 5 times the shorter diagonal. If the shorter side is 6 cm. Find the longer diagonal and the area.
-5x+6y=2 . What is the slope of the line ?
Answer:
The slope is m=5/6 .
PLS HELP ME I ADDED SCREENSHOT i made sure to add it this time
Answer:
-(400/9)
Step-by-step explanation:
-44(4/9)
answer A
Find the value of 2y if 2x - y = 5 and
x + y = 4.
Answer:
the value of 2y would be 2
Step-by-step explanation: 3+1=4 so you would plug the 3 in for x and the 1 in for y to get 5
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then
m(b − a) ≤
b
f(x) dx
a
≤ M(b − a).
Use this property to estimate the value of the integral.
2
3
1 + x2
dx
0
Answer:
smaller value is 1.2
larger value is 6
Step-by-step explanation:
[tex]f(x)=\frac{3}{1+x^{2} }[/tex]
when x=a=0, one has
[tex]f(0)=\frac{3}{1+0^{2} } \\f(0)=3[/tex]
now, when x=b=2, one has
[tex]f(2)=\frac{3}{1+2^{2} } \\f(2)=\frac{3}{5}[/tex]
Therefore, the absolute minumun is
[tex]m=\frac{3}{5}[/tex]
and the absolute maximun is
[tex]M=3[/tex]
The approximation to the integral is
[tex]\frac{3}{5}(2-0)\leq \int\limits^2_0 {f(x)} \, dx \leq 3(2-0)[/tex]
hence
[tex]\frac{3}{5}(2)\leq \int\limits^2_0 {f(x)} \, dx \leq 3(2)\\\frac{6}{5} \leq \int\limits^2_0 {f(x)} \, dx \leq 6\\1.2 \leq \int\limits^2_0 {f(x)} \, dx \leq 6[/tex]
The perimeter of a rectanglar field is 334 yards. If the widths the field is 78 yards, what is its length
Answer:
The length of rectangular field is 129 yards.
Step-by-step explanation:
Given that
Perimeter = P = 334 yards
Width = w = 78 yards
Length = l = ??
We will use the perimeter of the formula to find the length of rectangle.
The perimeter of a rectangle is given by:
[tex]P = 2(l+w)[/tex]
Putting the values of perimeter and width
[tex]334 = 2(l+38)\\334 = 2l+76\\334-76 = 2l+76-76\\258 = 2l\\\frac{2l}{2} = \frac{258}{2}\\l = 129[/tex]
Hence,
The length of rectangular field is 129 yards.
PLEASE HELP! WILL GIVE BRAINLIEST!
1. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.
2. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on soda? fill in the blank with the numerical answer only. the family spent $_______ on soda.
3. for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend in all? fill in the blank with the numerical answer only. the family spent $_______ in all.
Answer:
Step-by-step explanation: for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.
The family spent 300$ on pizza
Answer:
Answer
Step-by-step explanation:
for pizza: $300.00
for soda: $43.20
In all: 343.20
If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.
A= _______ cm2
Answer:
153.94
Step-by-step explanation:
The formula for area is pi*radius^2
the radius is 7, so we do pi7^2 which is 49pi
49pi is 153.93804 which is 153.94 rounded to two decimal places
The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to
time) when the height is 20 cm.
A. 36Pi
B. 108pi
C. 360pi
D. None of these
Answer:
108π cm^3/min
Step-by-step explanation:
At a time of t min, let the height be h cm
The volume of a cylinder;
V = π r^2 h
= 36π h
differentiating both sides with respect to t;
dV/dt = 36π dh/dt
but dh/dt = 3 cm/min
dV/dt = 36π(3) = 108π cm^3/min