Answer:
$14.56
Step-by-step explanation:
Steps to answering this question
Determine the total number of comics bought. This can be done by dividing the total amount spent on comics by the unit price of a comic Determine the selling price of the comic multiply the amount of comics bought by the selling pricethe total number of comics bought = total amount spent on comics / per unit price of comics
$20.16 / $0.72 = 28
selling price = 0.72 - $0.20 = $0.52
Total amount received = selling price x total comics bought
$0.52 x 28 = $14.56
Answer: the answer is 14.56
Step-by-step explanation:
the test was 100%
A farmhouse shelters 15 animals. Some are goats and some are ducks. Altogether there are 42 legs. How many of each animal are there? Use the variable g to represent goats Use the variable d to represent ducks
Part A: Create a system of equations that can model this scenario.
Part B: Solve the system of equations Algebraically
Answer:g+d=152
g+2d=30
4g+2d=42
4g+2d-(2g+2d)=42-30
4g+2d-2g-2d =12 2g. =12
g=6
d+6=15
d=15-6
d=9
6 goats and 9 ducks
The number of animals are 6 goats and 9 ducks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Number of farmhouse shelters=15
Total number of legs=42
Now,
Part A:
Let's use g to represent the number of goats and d to represent the number of ducks in the farmhouse.
We know that there are 15 animals in total, so:
g + d = 15
We also know that goats have 4 legs and ducks have 2 legs, and there are a total of 42 legs:
4g + 2d = 42
Part B:
We can solve this system of equations algebraically by using substitution or elimination.
Substitution Method:
Solve for one variable in terms of the other in one equation, and substitute into the other equation.
Solve for the remaining variable.
From the first equation, we know that:
g = 15 - d
Substitute g = 15 - d into the second equation:
4g + 2d = 42
4(15 - d) + 2d = 42
60 - 4d + 2d = 42
-2d = -18
d = 9
So there are 9 ducks in the farmhouse.
To find the number of goats, substitute d = 9 into g = 15 - d:
g = 15 - 9
g = 6
Therefore, by the unitary method the answer will be 6 goats and 9 ducks
Learn more about the unitary method, please visit the link given below;
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what is the volume of the following rectangular prism?
Answer:
33 cubic unit
Step-by-step explanation:
Volume of the prism = base area * height
= 9 * 3 2/3 {Change improper to proper fraction}
[tex]= 9*\frac{11}{3}\\\\= 3* 11\\\\= 33 unit^{3}[/tex]
Jayla and Hailey were paying a dinner check, but they were not sure how much they should tip for their bill of $25.50. If a 12% tip is standard, about how much should they leave for the server?
Answer:
tip total $4
tip per person $2
total (bill plus tip) $29.
total each person $15
Step-by-step explanation:
A swimming pool holds 18,000 gallons of water. The pool is 40% full. How many more gallons are needed to fill the pool?
Answer:
Since 40% of 18,000 gallons is 7,200 gallons filled up, then 18,000-7,200 gallons= 10,800 gallons left to fill up the poolStep-by-step explanation:
40% of 18,000 gallons means
40 x 180= 7,200 gallons
18,000-7,200 gallons= 10,800 gallonsAfter 3 rounds, 43 students are eliminated from the freeze dance game. There are 56 students remaining. Find the number of students who started the game.
A rectangular window is 4x inches wide and 8x inches long. What is an expression for the distance from one corner of the window to the opposite
corner? Give your answer as a simplified radical.
Answer:
Step-by-step explanation:
Pythagorean theorem
a² + b² = c² a = 4x b=8x
c = √(a² + b²)
c =√((4x)² + (8x)²)
= √(16x² + 64x²)
= √80x²
= √(16×5)x²
= 4x√5
PLEASE HELP!!! Pleaseee!
Answer:
a
Step-by-step explanation:
how do you convert percentages into decimals??
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Example: 10% becomes 10/100 = 0.10.
Example: 67.5% becomes 67.5/100 = 0.675.
Step-by-step explanation:
Hopes this helps
Answer:
Step-by-step explanation:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Example: 10% becomes 10/100 = 0.10.
Example: 67.5% becomes 67.5/100 = 0.675.
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(I’m marking brainliest) plzzz help me out!!!
Answer:
14, 16, 18, 20
Step-by-step explanation:
Factor 30-20 using gcf
Answer: 10
Step-by-step explanation:
Which expression is equivalent to 1/4y−1/2?
Answer:
-0. 25
Step-by-step explanation:
I looked it up with a fraction calculator
Which one is for inverse tangent?
Answer:
A
Step-by-step explanation:
i looked at my chart
Answer:
A
Step-by-step explanation:
Please help!!!!!
Billy and Susie were saving up to buy the new Xbox. Billy got $50 for his birthday and saved $20 each week. Susie already had $25 and saved $40 each week. Write a system of equations to describe this situation.
Answer:
50+ 20x= y
25+ 40x= y
Explanation:
For Billy and Susie, the starting values are $50 and $25. You simply add that to the money saved per week ($20 and $40).
x= number of weeks
hello ! i need help
which figures appear to be congruent
Answer:
2 and 3
Step-by-step explanation:
Congruent means that they look the same. 2 and 3 are the only ones that look the same.
how to solve for a cone with a 4.25 height and 3.25 radius
Answer:
Rounded Answer - 47.01
Exact Answer - 47.00935
Step-by-step explanation:
see attached image below!!!
PLZZ give me brainliest
sara had 51 stickers and her dad had 13 stickers how many are in all
Answer:
64
Step-by-step explanation:
Answer:
64!
Step-by-step explanation:
(50 + 10) + (1 + 3)
(60) (4)
60 + 4 = 64!
Will mark brainlist plz anwser
Answer:
1,740 is the width.
Will Give Brainliest if Correct
Answer:
35
Step-by-step explanation:
Law of cosines
c^2=a^2+b^2-2ab(cos(A))
14^2=11^2+8^2-2(11)(8)Cos(A)
A=93.5833
Law of Sines
Sin(A)/a=Sin(B)/a
Sin(93.5833)/11=Sin(B)/8
B=34.7719
x + 2y = 17 x- y = 2
Answer:
(13, 11)
Step-by-step explanation:
Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 180 calories per 15
square inches, how many calories did he eat?
Answer:
700 calories
Step-by-step explanation:
Each student at school is given 7 folders on the first day of school. The number of folders
provided to students could be expressed as 7n (where n = number of students)
a) If there are 120 students in the school, the number of folders would be ___x__=____folders.
Larrie and Lester went shopping. They both went with equal amount of money. Larrie spent $120.00 and Lester spent $150.00. At the end of the shopping Lester had 2/3 of what Larrie had left. How much mone did Latrine have after shopping?
Answer:
$90.00
Step-by-step explanation:
Larrie and Lester went shopping. They both went with equal amount of money.
Let initial amount = x
Larrie = Lester = x
Larrie spent $120.00 and Lester spent $150.00.
Amount left (Larrie) = x - $120.00
Amount left (Lester) = x - $150.00
At the end of the shopping Lester had 2/3 of what Larrie had left.
Amount left (Lester) = 2 / 3 (Amount left (Larrie)
x - 150 = 2/3 (x - 120)
solving for x;
3 (x - 150) = 2 (x - 120)
3x - 450 = 2x - 240
3x - 2x = -240 + 450
x = 210
How much money did Latrine have after shopping?
Amount left (Larrie) = x - $120.00
Amount left (Larrie) = $210.00 - $120.00
Amount left (Larrie) = $90.00
f(x) = 2x^2 − 6x + 3 for x = −1
17 times the measure of its complimentary angle
Answer:
1241
Step-by-step explanation:
SSS, ASA, SAS, or AAS?
Answer:
ASA
Step-by-step explanation:
Angle side angle test
angle BAC = angle RPQ
side AC = side PQ
angle BCA = angle RQP
Leo's age is 21 less than 2 because of his sisters age. If her sister is 23 years old how old is Leo
I will give you BRAINLIEST for the correct answer
I think 49 meters in 28 hours
Answer:
it's 49 meters in 28 hours
Step-by-step explanation:
what I did here is I said half of 49 meters which is = 25m (rounded off) and half of 28 hours is 14 hours
so it's
25 m in 14 hours compared to 14 meters in 10 hours
70 isn’t my answer I just clicked it by accident but I need help on this
Answer:
C: 26
Step-by-step explanation:
The distance between A and B is 8 and the dstance between B and C is 5. Add 8+8+5+5=26
Triangle ABC is shown below.
What is the length of line segment AC?
07
A
09
2x
3x - 7
O 14
18
B
4x - 10
с
Answer:
14
Step-by-step explanation:
3x-7=2x(isosceles triangle)
x=7
AC=3(7)-7=21-7=14
The length of the side AC in the given triangle is 14 units.
What is a triangle?A polygon with three sides, angle and vertex is called a triangle.
Given is a triangle ABC, with sides, AB = 2x, AC = 3x-7 and BC = 4x-10,
We need to find the length of AC,
According to the figure, ∠B ≅ ∠C, therefore, according to the theorem of triangles, that sides opposite to congruent angles are congruent,
Therefore, AC = AB
2x = 3x-7
x = 7
AC = 3(7)-7
AC = 14
Hence, the length of the side AC in the given triangle is 14 units.
Learn more about triangle, click;
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1. Simplify: -7a²b-2a2b
A. -9
B. -9a²b
C. -5a2b
D. -5
Answer:
D IS YOUR FINAL AWNSER BECAUSE U HAVE TO MULTIPLY THE NU<BER TO THE AWNSER
Step-by-step explanation: