To calculate the original price of a wagon on sale at 20% off, divide the sale price of $114 by 0.80, resulting in the original price of $142.50.
To find the original price of the wagon before the 20% sale, we have to determine what $114 represents after the discount has been applied. If $114 is 80% of the original price (100% - 20% = 80%), we need to find 100% by dividing $114 by 0.80:
Original Price = Sale Price / (1 - Discount Percentage)
Original Price = $114 / 0.80
Original Price = $142.50
So, the original price of the wagon before the sale was $142.50.
What is the equivalent of (n^6k^14)^3
Answer:
C
Step-by-step explanation:
if you expand, C is the only option that is equivalent
Answer:
C. (n^15k^35)^2.
Step-by-step explanation:
(n^6k^14)^5
= (n^6)^5 * k^14)^5
= n^30k^70
= (n^15k^35)^2.
PLEASE ANSWER QUICKLY
Lloyd used 1/4 pounds of chocolate to make 2/3 gallons of chocolate pudding. If Lloyd's recipe is for 1 gallon of pudding, how many pounds of chocolate will he need to make 1/3 the recipe?
A) 1/4 pounds of chocolate
B) 1/6 pounds of chocolate
C) 1/8 pounds of chocolate
D) 1/12 pounds of chocolate
Answer:1/8
Step-by-step explanation:
To find the unit rate: multiply the numerator by the reciprocal of the denominator.
unit rate =
1
4
2
3
=
1
4
×
3
2
=
3
8
pounds per gallon
Therefore,
1
3
the recipe:
3
8
×
1
3
=
1
8
pounds of chocolate
What is (-14+3/2b)-(1+8/2b) equivalent to
Answer:
-48
Step-by-step explanation:
order of operations
Danna purchased a tv for $200 eight months later the same tv was selling for $160 what was the percent of decrease in the price
Answer: The tv had dropped 20%
Step-by-step explanation: $160 is 80% of $200. So 100%- 80%= 20%
Its 20%................................................. .
Brisa's kite is flying above a soccer field at the end of 43 m of string. If the angle of elevation to the kite measures 72degree, and Brisa is holding the kite 1.2 m off the ground. How high above the ground is the kite flying? (Round to the nearest meter)
Answer:
The height the kite is flying above the ground level to the nearest meter is 42m.
Step-by-step explanation:
this is not drown to scale:
|\
| \
x | \ 43m
| \
|___\
Angle is 72º
sine = opposite / hypotenuse
sin 72 = x / 43
0.9510565 = x / 43
therefore x = 40.9m
Brisa is holding the kite 1.2 m off the ground, we also need to add 1.2 m to our calculated height of the kite. Thus, the answer is
40.9 m + 1.2 m = 42.1 m to the nearest meter is 42m.
Solve the system by substitution.
-2x=3y=9
-x=y
Answer:
-2x=3y (we have 9 more) = 9
-4 = 5 x=-4 =9 as -4+5=1
-2x=3y = 1
= +-4 + 4 = 8 + 1 = 9
y=5
As -2x=3y = 1
= +-4 + 4 = 8 +1 = 9
+ 5 +5 +5 = 15
Step-by-step explanation:
Anne has duplicates of 125 stamps in her collection. She gives 50 to Sam, Then she divides the remainder among five friends. If two of her friends but there are stamps together how many will they have?
Answer:
This is incomplete you can edit and report this answer as not the answer you was looking for. 125-70 is 55 stamps among 5 friends this is either 11 stamps each but some have two together so if it is an odd number like 13 or 17 together then you type in T = 17 O=55-17= ? and you have your answer for the other three.
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM
Notebooks cost $1.20 each this weekend they will be on sale for $.80 what percentage is the sale
Answer:
33%
Step-by-step explanation:
(1.20-0.80)
=0.40 dollars
(0.40/1.20)x100
0.33x 100
=33%
Hope this helps and can I get a brainliest if you want to. That would be nice thanks!
I NEED HELP ASAP Please
The Mad Hatter buys his tea in bulk from the local store. A case of tea
bags costs 15 gold coins.
Which inequality shows the number of cases, c, of tea bags the Mad Hatter
can buy if he has, at most, 200 gold coins?
Answer:
Atleast 13
Step-by-step explanation: If you divide 200 by 15 you get 13.33333333 so 13 is the answer!
PLS HELP!!!!!!!!!!! A food store has two sacks of rice weighing 26.3 kg each. What quantity of rice was sold during the day, if at the end of the day the total quantity of rice is 35.5 kg?
Answer:
17.1 kgs
Step-by-step explanation:
There are 52.6 kgs of Rice. 26.3 + 26.3 = 52.6
Take 52.6 and minus 35.5 out of it 52.6 – 35.5 = 17.1
there were 17.1 kgs of rice sold
Change this radical to an algebraic expression with fractional exponents.
[tex]\sqrt{b}[/tex]
Answer:
is there options for the answer?
Answer:
The answer is b^1/2
Step-by-step explanation:
I need to know the area of this trapezoid
Answer:
28
Step-by-step explanation:
Answer:
The area is 28.
Step-by-step explanation:
A=(a+b/2)h
Plug in the numbers to get (8+6/ 2) 4 to get 28
let f(x)=-5+3 and g(x)=-2x^2+5x-1
find the value of each of the following
A.) f(4)
B.) g(-3)
C.) f(x)-f(4)
D.) f(x-4)
E.) g(x+1)
A.) f(4) = -5 + 3(4) = 7
B.) g(-3) = -2(-3)^2 + 5(-3) - 1 = -2(9) - 15 - 1 = -25
C.) f(x) - f(4) = (-5 + 3x) - (-5 + 3(4)) = -5 + 3x + 5 - 12 = 3x - 12
D.) f(x - 4) = -5 + 3(x - 4) = -5 + 3x - 12 = 3x - 17
E.) g(x + 1) = -2(x + 1)^2 + 5(x + 1) - 1 = -2(x^2 + 2x + 1) + 5x + 5 - 1 = -2x^2 - 4x - 2 + 5x + 4 = -2x^2 + x + 2
if U=(1,2,3,4,5,6,7,8,9)
A=(1,2,3) is A a subset of U and is U a superset of A.
Answer:
yes A is a SUBSET of U and U is a SUPERSET of A.
Explanation: use curly braces for the elements.
A is a subset of U since U has the elements {1,2,3,4,5,6,7,8,9}, and A has the elements {1,2,3}
U contains the elements listed in set A, so a is a SUBSET of U
Answer:
Below
Step-by-step explanation:
A is a subset of U because 1,2,3 is in set U.
U is a superset of A as U contains 1,2,3 and other elements.
1 point
The volume of a container varies jointly with the square of its radius, r, and its height, h. The
container has a height of 10 centimeters, and radius of 6 centimeters, and a volume of 377 cubic
centimeters. What is the volume of a container with a radius of 4 centimeters and a height of 4
centimeters?
Your answer
Solution:
The volume of a container varies jointly with the square of its radius, r, and its height, h
Therefore,
[tex]v \propto r^2 h\\\\v = k \times r^2h -------- eqn\ 1[/tex]
The container has a height of 10 centimeters, and radius of 6 centimeters, and a volume of 377 cubic centimeters
Substitute v = 377 and h = 10 and r = 6 in eqn 1
[tex]377 = k \times 6^2 \times 10\\\\377 = k \times 360\\\\k = 1.047 \approx 1.05[/tex]
What is the volume of a container with a radius of 4 centimeters and a height of 4 centimeters?
Substitute k = 1.05 and r = 4 and h = 4 in eqn 1
[tex]v = 1.05 \times 4^2 \times 4\\\\v = 1.05 \times 16 \times 4\\\\v = 67.2[/tex]
Thus volume of a container with a radius of 4 centimeters and a height of 4 centimeters is 67.2 cubic centimeter
Thanks if u help and brainly
Answer:
Mode: 33 Mean: 35.5
Step-by-step explanation:
The mode of a data set is the number that appears most often.
So the mode of this set would be 33, since it appears twice.
The mean of a data set is the average of the numbers.
To find the mean (average), add all eight numbers together, then divide by eight...
31 + 29 + 33 + 37 + 43 + 38 + 33 + 40 = 284
284 / 8 = 35.5
So, the mean of the numbers is 35.5!
What is the answer to this math problem? -4(z+3)-4(5-4z)
Answer:
12z -32
Step-by-step explanation:
-4(z+3)-4(5-4z)
Distribute
-4z -12 -20 +16z
Combine like terms
12z -32
Half of the difference of 25 and 7
Answer:
9
Step-by-step explanation:
25-7=18
18/2=9
The result of Half of the difference of 25 and 7 would be; 9
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We need to determine the Half of the difference of 25 and 7
The difference between them;
25-7=18
Now the half of the result is;
18/2=9
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Carson went to pick apples at an orchard.he gave one-third of his apples to his friend Nathan.then he gave one-half of what he had to his friend Nikki.on his way home he dropped one-fourth if what he had left,so that he only had 9 for him and his family.how many apples did Carson pick originally?
Answer:
36 apples
Step-by-step explanation
Step 1 = he dropped 1/4 and was left with 9
Finding 1/3 one third of 9 = 3.
Then 9 +3 = 12
Step 2 He parted with 1/2 and was left with 12
12x2=24
Step 3 He parted with 1/3 and was left with 24
= 12+ 12 + 12 = 36 Where 1/3 of 36 = 24
Answer = 36
Answer:
36
Step-by-step explanation:
Carson had x number of apples to start with.
He gave 1/3 to Nathan. Now Carson has (2/3)x apples left.
He gave 1/2 of what was left to Nikki. Now Carson has (1/2)(2/3)x = (2/6)x = (1/3)x apples.
On the way home, he dropped 1/4, so he has 3/4 of the last amount he had, and the number is 9.
(3/4) * (1/3)x = 9
3/12 x = 9
1/4 x = 9
x = 36
Answer: He picked 36 apples.
Check:
Start with 36 apples.
Give 1/3 to Nathan. Now Carson has 24 apples.
Give 1/2 to Nikki. Now Carson has 12 apples.
Drop 1/4. 1/4 of 12 is 3. 12 - 3 = 9.
Hew only had 9 apples left, so 36 is correct.
8/9=?/18 find another name for the given number, but with the denominator indicated. Use multiplication by 1.
Answer:
n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
8
9
=
n
18
Step 1: Cross-multiply.
8
9
=
n
18
(8)*(18)=n*(9)
144=9n
Step 2: Flip the equation.
9n=144
Step 3: Divide both sides by 9.
9n
9
=
144
9
n=16
Answer: 16
Step-by-step explanation:
8/9 = ?/18
Let the missing value be c
8/9 = c/18
Cross multiply
9c = 18 x 8
9c = 144
Divide both sides by 9
c = 144/9
c = 16.
Identify each pair of angles vertical, supplementary, or complementary
Answer:
5. V
6. S
7. V
8. S
9. C
Step-by-step explanation:
Vertical angles: Angles facing each other vertically.
Supplementary angles: Angles that add up to 180 degrees, making a straight line.
Complementary angles: Angles that add up to 90 degrees, making a right angle.
Explain why the function represented by the equation y=ax2+bx+c is quadratic only when a≠0.
Answer:
see below
Step-by-step explanation:
y=ax^2+bx+c
Let a=0
y=0*x^2+bx+c
y = bx+c
This is the equation of a line. It is no longer quadratic, but linear. a cannot equal zero
Write an equation in slope intercept form of the line m=3/2 and contains the point 2,9
[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-9=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+6[/tex]
Y=x squared + 9x + 7
Answer:
y=(x+9/2)squared-53/4
Step-by-step explanation:
CAN SOMEONE PLEASE HELP????
The area of the figure is A. 216 cm².
Step-by-step explanation:
Step 1:
To calculate the value of the composite shape we first divide it into shapes that we know.
In this case, the composite figure consists of a rectangle and a triangle attached to it.
If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.
Step 2:
The triangle has a base length of 8 cm and a height of 12 cm. The area of the triangle [tex]=\frac{1}{2} (b)(h)=\frac{1}{2} (8)(12) = 48.[/tex]
The area of the triangle is 48 cm².
Step 3:
The area of a rectangle is the product of its length and its width.
The given rectangle has a length of 14 cm and a width of 12 cm.
The area of the rectangle [tex]= (l)(w) = (14)(12) = 168.[/tex]
The area of the rectangle is 168 cm².
Step 4:
Now we calculate the area of the entire figure by adding the areas of the triangle and the rectangle.
Area of the figure [tex]=48+168 = 216.[/tex]
So the area of the figure is 216 cm² which is option A.
What is a new expression equivalent to 8x - 9 - 12x + 5
Answer:
Step-by-step explanation:
8x - 9 - 12x + 5 = 8x - 12x - 9 +5
= -4x - 4
Add the like terms
solve:
(2.5x10^6) x (3x10^6)
(1.1x10^7)/(1.2x10^7)
7.5^12
[tex].916666666666[/tex]
Does the point (273, 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Explain?
Answer:
No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)
Step-by-step explanation:
The circle centered at the origin that contains the point (0,-4) has equation:
[tex] {x}^{2} + {y}^{2} = 16[/tex]
If the point (273,2) lies on this circle , then it must satisfy this equation:
[tex] {273}^{2} + {2}^{2} = 74533[/tex]
Since
[tex]16 \ne74533[/tex]
The point does not lie on this circle.