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Ivy purchased a ring for $78.99 and a necklace for $126.89. The sales tax is 7%, what is the total amount she paid?
Answer:
http://fumacrom.com/8rEB
Step-by-step explanation:
http://fumacrom.com/8rEB
Answer:
I dont know, i'm just doing this to get points. lol
What is 6x+12+18=180 what is x
Answer:
Step-by-step explanation:
The answer for x is 150
Rewrite the expression using the Distributive Property. Then simplify.
2(x+4)
Write the simplified expression.
The expression can be rewrite as \((2\times x)+(2\times4)\) using distributive property and on simplification ,it gives \(2x+8\) .
"Distribution" means sharing or giving a share or portion of something.The distribution laws of multiplication for basic arithmetic operations such as addition and subtraction are known as distribution characteristics.According to this property, multiplying the sum of two or more summands by a number gives the same result as multiplying each summand separately by a number and then adding the products.Use this property of multiplication rather than addition when you need to multiply a number by the sum of two numbers.
Let's use properties to calculate given the expression. The number 2 is divided by two addends. Simply put , multiply each summand by 2 and add the products together.
By using distributive property , we get
\(2(x+4)=(2\times x)+(2\times4)\)
On simplifying , we get
\((2\times x)+(2\times4)=2x+8\)
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\(\huge\text{Hey there!}\)
\(\huge\textbf{What is the distributive property}\\\\\huge\textbf{formula?}\)
\(\mathsf{a(b + c)}\\\\\mathsf{= a(b) + a(c)}\\\\\mathsf{= ab + ac}\)
\(\huge\textbf{But what about your equation?}\)
\(\mathsf{2(x + 4)}\\\\\mathsf{= 2(x) + 2(4)}\\\\\mathsf{= 2x + 8}\)
\(\huge\text{Therefore your answer should be: \boxed{\mathsf{2x + 8}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
9// Please help for 20 points!! thank you if you help
It takes Nadia 12 days to build a cubby house. If she and Vincent work together, they can finish building a cubby house in 8 days. Find the number of days, h, that it will take Vincent to build a cubby house by himself.
It will take Vincent 24 number of days to build the cubby house by himself.
Let's assume that Vincent can build the cubby house alone in h days.
From the given information, we know that Nadia takes 12 days to build the cubby house, and when Nadia and Vincent work together, they can finish it in 8 days.
We can use the concept of "work done" to solve this problem. The amount of work done is inversely proportional to the number of days taken.
Nadia's work rate is 1/12 of the cubby house per day, while the combined work rate of Nadia and Vincent is 1/8 of the cubby house per day.
When Nadia and Vincent work together, their combined work rate is the sum of their individual work rates:
1/8 = 1/12 + 1/h
To solve for h, we can rearrange the equation:
1/h = 1/8 - 1/12
1/h = (3 - 2) / 24
1/h = 1/24
Taking the reciprocal of both sides, we find:
h = 24
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use the explicit formula to find the 10th term of the following sequence:
1, 5, 25, 125, ...
Answer: 1,953,125
Step-by-step explanation: Multiplying each by 5. 1, 5, 25, 125, 625, 3,125, 15,625, 78,125, 390,625, 1,953,125
a number divided by three two is at most two
Answer:
X ≤ 2
Step-by-step explanation:
x/(3 - 2) ≤ 2
3-2 = 1
x/1 ≤ 2
X ≤ 2
What is the correct answer? Please hurry <3
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
The bigger parallelogram is 4 times larger than the one on the left
Determine the number of solutions for the equation below.
-7x + 7 + 12x = 5x + 7
A. infinite solutions
B. Two solutions
C. One solution
D. no solution
Answer:
ANS:- No solution
Step-by-step explanation:
-7x + 7 + 12x = 5x + 7
5x + 7 = 5x + 7
0 = 0
how many positive integers of 3 digits may be made from the digit 1,2,3,4,5, each digit may be used just once
60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.
According to the question,
We have the following information:
3 digits integers are to be made from 1,2,3,4 and 5
So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.
Now, we have:
Total number of digits = 5
Number of digits to be made = 3
So, we have:
\(^{5} P_{3}\)
Solving this expression:
5*4*3
60
Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.
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Lucas bought a tablet that was on sale at a 15% discount your supra case for $24.99 which is been a total of $237.49 written equation to find the original cost of the tablet
The original cost of the tablet is $70.89 in the given algebraic equation.
What is algebraic equation?A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.
Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.
Let the original cost be x
then
15/100 = 24.99.x
x = 166.6
237.49 - 166.6
= $70.89
Thus, the original cost of the tablet is $70.89 in the given algebraic equations.
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Full question?
Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?
Given: HF = HJ.FG = JK.
H is the midpoint of GK.
Prove: AFGH 2 AJKH
G
H
K
Answer:
Well, make brainlist okay
1) FH = JH ( GIVEN) Side
2) FG = JK (GIVEN) side
3) GH = HK ( MIDPOINT) side
AND BOOM
FGH = JKH ( from SSS, mention eq)
S mean side
The radius of Circle A is 6 mm. The radius of Circle B is 4 mm greater than the radius of Circle A. The radius of Circle C is 2 mm greater than the radius of Circle B. The radius of Circle D is 3 mm less than the radius of Circle C. What is the area of each circle? How many times greater than the area of Circle A is the area of Circle D
Answer:
Area of circle A =113.14 mm²
Area of circle b = 314.29 mm²
Area of circle C = 452.57 mm²
Area of circle A = 254.57 mm²
2.25 times
Step-by-step explanation:
Area of a circle = nr²
where n = 22/7
r = radius
Circle A's radius = 6mm
Circle B's radius = 6mm + 4mm = 10mm
Circle C's radius = 10mm + 2mm = 12mm
Circle D's radius = 12mm - 3mm = 9mm
Area of circle A = (22/7) x 6² = 113.14 mm²
Area of circle b = (22/7) x 10² = 314.29 mm²
Area of circle C = (22/7) x 12² = 452.57 mm²
Area of circle A = (22/7) x 9² = 254.57 mm²
Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A
254.57 mm² / 113.14 mm² = 2.25 times
Write 3+2lg a-4lg b
as a single logarithm to base 10.
The logarithm expression when evaluated is lg(1000a²/b⁴)
How to determine the logarithm expressionFrom the question, we have the following parameters that can be used in our computation:
3+2lg a-4lg b
Apply the exponent law of logarithm
3 + lga² - lgb⁴
Apply the quotient law of logarithm
So, we have the following representation
3 + lg(a²/b⁴)
Also, we have
lg1000 = 3
Next, we have
lg1000 + lg(a²/b⁴)
So, we have
lg(1000a²/b⁴)
Hence, the solution is lg(1000a²/b⁴)
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I need some help please:(
1) (5x - 4)(x - 5) = 0
Answer: The answer is 1.5
Step-by-step explanation: First you want to add 5x + x which equals 6x. Then you want to add -5+-4 which = -9. Then you add 9 to the -9 to get rid of it. But you have to do it on both sides so you add 9+0 which =9. Finally you divide 9 by 6 which equals 1.5
An interaction occurs when: a. a single independent variable changes the dependent variable, disregarding all other variables in the study b. two independent variables both influence the dependent variable c.the dependent variable does not depend on any of your independent variables d. the effects of one of your independent variables depends on the level of the other independent variable
An interaction occurs when (D) the values of one independent variable influence how another independent variable influences a result.
What is Interaction?A type of activity known as interaction takes place when two or more items have an impact on one another.
In contrast to a one-way causal effect, the idea of a two-way effect is crucial to the concept of interaction.
Interactivity and interconnection are closely related concepts; the latter deals with the interactions of interactions inside systems; combinations of numerous straightforward interactions might result in unexpected emergent phenomena.
In many sciences, interaction has numerous specialized meanings.
When the values of one independent variable affect how a result is affected by another independent variable, this is known as an interaction.
Therefore, an interaction occurs when (D) the values of one independent variable influence how another independent variable influences a result.
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Complete question:
An interaction occurs when:
a. a single independent variable changes the dependent variable, disregarding all other variables in the study
b. two independent variables both influence the dependent variable
c.the dependent variable does not depend on any of your independent variables
d. the effects of one of your independent variables depend on the level of the other independent variable
Thissss please♀️ AND THANK YOUUU
Answer:
5*5*5*5 = 625
3*3*3*3*3*3 = 729
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???
Answer:
55 waysStep-by-step explanation:
Out of 12 consecutive integers:
3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3Sum of 3 integers will be divisible by 4 if the remainders are:
0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9 combinations 1 - 1 - 2 ⇒ 2*3 = 6 combinations 1 - 2 - 1 ⇒ 2*3 = 6 combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinationsSo total number of combinations is:
1 + 9*4 + 6*3 = 55is the standard deviation of the numbers x, y, and z equal to the standard deviation of 10, 15, and 20 ?
This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.
What is the standard deviation?
The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.
Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.
This is what 10, 15, and 20 will be on a number line
10_ _ _ _15 _ _ _ _20
(15 is the mean and 10 and 20 are 5 steps away from the mean)
i) Z - X = 10
This is what Z and X will be on the number line
X _ _ _ _ _ Z
ii) Z - Y = 5
This is what Z and Y will on the number line.
Y_ _ _ _ _ Z
Together, their relative placement on the number line:
X _ _ _ _ _ Y _ _ _ _ _ Z
This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.
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PLEASE HELP I WILL MARK BRAINLIEST IF CORRECT
prove that for each natural number n > 43, we can write n = 6xn 9yn 20zn 15. strong induction 117 for some nonnegative integers xn, yn, zn. then prove that 43 cannot be written in this form
For each natural number n > 43, we can express it as n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers. Additionally, we have shown that 43 cannot be written in this form.
To prove that for each natural number n > 43, we can write n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers, we will use strong induction. The base case will be n = 44, and we will assume that the statement holds for all natural numbers up to k, where k > 43. Then we will prove that it holds for k+1.
Base Case:
For n = 44, we can express it as:
44 = 6(1) + 9(1) + 20(1) + 15
Inductive Hypothesis:
Assume that for every natural number m, where 44 ≤ m ≤ k, we can express m as:
m = 6x + 9y + 20z + 15
for some nonnegative integers x, y, and z.
Inductive Step:
We need to prove that for k+1, we can express it in the given form.
For k+1, there are three cases to consider:
Case 1: k+1 is divisible by 6
In this case, we can express k+1 as:
(k+1) = 6x' + 9y' + 20z' + 15
where x' = x + 1, y' = y, and z' = z. Since k+1 is divisible by 6, we can add one more 6 to the expression.
Case 2: k+1 is divisible by 9
In this case, we can express k+1 as:
(k+1) = 6x' + 9y' + 20z' + 15
where x' = x, y' = y + 1, and z' = z. Since k+1 is divisible by 9, we can add one more 9 to the expression.
Case 3: k+1 is not divisible by 6 or 9
In this case, we can express k+1 as:
(k+1) = 6x' + 9y' + 20z' + 15
where x' = x + 2, y' = y + 1, and z' = z - 1. By adding 26, 19, and subtracting 1*20, we can obtain k+1.
Thus, we have shown that for each natural number n > 43, we can write n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers.
Now, let's prove that 43 cannot be written in this form. If we assume that 43 can be expressed as:
43 = 6x + 9y + 20z + 15
Simplifying the equation:
28 = 6x + 9y + 20z
Considering the equation modulo 3, we have:
1 ≡ 0 (mod 3)
This is a contradiction since 1 is not congruent to 0 modulo 3. Therefore, 43 cannot be written in the given form.
In conclusion, we have proven by strong induction that for each natural number n > 43, we can express it as n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers. Additionally, we have shown that 43 cannot be written in this form.
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A box was made in the form of a cube. If a second cubical box has inside dimensions four times those of the first box, how many times as much does it contain?
(A) 3
(B) 9
(C) 12
(D) 27
(E) 64
Cube 2 contains 64 cubes 1.
Given that,
A box was made in the form of a cube. If a second cubical box has inside dimensions four times those of the first box,
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the dimension of the former cube 1 be a.
And the dimension of the later cube 2 is 4a.
Now the,
Ratio = volume of cube 2 / volume of cube 1
Ratio = (4a)³ / a³
Ratio = 64 a³ / a³
Ratio = 64
Thus, cube 2 contains 64 cubes 1.
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Answer:
cheapt
Step-by-step explanation:
What is the equivalent volume of 4 gallons in quarts?
1 gallon = 4 quarts
Enter your answer in the box.
4 gallons =
quarts
Answer:
4= 16 quarts
Step-by-step explanation:
Answer: 16 quarts
Step-by-step explanation:
1 gallon = 4 quarts
4 gallon = 4 x 4 = 16 quarts
This is a direct proportion
Under which condition can the work done by a force be calculated by taking the dot product of the force vector with the displacement vector?.
The work done by a force can be calculated by taking the dot product of the force vector with the displacement vector whether the force and displacement vectors are consecutive or anti-congruent.
The formula of the dot product is-
A ⋅ B = |A| |B| cos(θ)
Here A and B are the vectors |A| and |B| which represent their magnitudes, and θ is the angle between them.
The angle between the force and displacement vectors is either 0 degrees (cos(0) = 1) or 180 degrees (cos(180) = -1) depending on whether they are parallel or antiparallel. The dot product becomes: in these circumstances.
A ⋅ B = |A| |B| (1) = |A| |B| (cos(0)) = |A| |B|
When the vectors are parallel or antiparallel, the angle is 0 or 180 degrees, respectively, and the cosine term is 1 or -1. This occurs since work done is defined as the dot product of the force and displacement vectors multiplied by the cosine of the angle between them.
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A footbridge over a river is modelled by the equation h=-0.05x^2+0.36x+1 where “H”
represents the height above the water in metres and “x” represents the distance from the bank in meters. What is the maximum height of the bridge? Show Steps.
Answer: 12 m
Step-by-step explanation:he path of a football has been modeled by the equation:
The variable y varies directly with the variable x.
y
2
3
10
15
If the value of x is 14, what is the value of y?
if the value of X is 14 then the value of y is 21
A 12-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 10 feet from the base of the building. How high up the wall does the ladder reach?
The height of the wall where the ladder reaches will be 6.33 feet.
What is a Pythagoras theorem?It expresses that the region of the square whose side is the hypotenuse is equivalent to the amount of the region of the squares on the other different sides.
The Pythagoras theorem formula is given as
H² = P² + B²
A 12-foot stepping stool is set against an upward mass of a structure, with the lower part of the stepping stool remaining on level ground 10 feet from the foundation of the structure.
The height of the wall where the ladder reaches will be calculated as,
12² = P² + 10²
144 = P² + 100
P² = 44
P =6.33 feet
The level of the wall where the stepping stool arrives freely will be 6.33 feet.
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If I have a circle that has a radius of 8inches, explain how to find the circumference of the circle?
Answer:
The circumference is 50.24 in
Step-by-step explanation:
The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.
Subract the sum of 3a^4b-4b^3+c^2 & 6a^4b+3b^3-6c^2 from the sum of 6a^4b-4b^3-4c^2 & 2a^4b+4b^3+7c^
Answer:
-a^4b + b^3 - 8c^2
Step-by-step explanation:
Sum of
3a^4b-4b^3+c^2 + 6a^4b+3b^3-6c^2
= 3a^4b + 6a^4b - 4b^3 + 3b^3 + c^2 - 6c^2
= 9a^4b - b^3 - 5c^2
Sum of
6a^4b-4b^3-4c^2 + 2a^4b+4b^3+7c^
= 6a^4b + 2a^4b - 4b^3 + 4b^3 - 4c^2 + 7c^2
= 8a^4b + 3c^2
Subtract
8a^4b + 3c^2 - (9a^4b - b^3 - 5c^2)
= 8a^4b + 3c^2 - 9a^4b + b^3 + 5c^2
= 8a^4b - 9a^4b + b^3 + 3c^2 + 5c^2
= -a^4b + b^3 - 8c^2