Answer:
It would cost the Lopez family $102.00 to go to Sealand
Step-by-step explanation:
Assume that the cost of each adult ticket is $x and the cost of each child ticket is $y
∵ The adult's ticket costs $x
∵ The child's ticket costs $y
∵ The Douglas family is charged $72.00 for 2 adult and 3 child tickets
∴ 2x + 3y = 72 ⇒ (1)
∵ The Williams family was charged $78.00 for 1 adult and 5 child tickets
∴ x + 5y = 78 ⇒ (2)
Let us solve the system of equations to find x and y
→ Multiply equation (2) by -2 to make the coefficients of x equal in
values and different in signs
∵ -2(x) + -2(5y) = -2(78)
∴ -2x + -10y = -156 ⇒ (3)
→ Add equations (1) and (3) to eliminate x
∵ (2x + -2x) + (3y + -10y) = (72 + -156)
∴ -7y = -84
→ Divide both sides by -7 to find y
∴ y = 12
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 5(12) = 78
∴ x + 60 = 78
→ Subtract 60 from both sides
∴ x + 60 - 60 = 78 - 60
∴ x = 18
∴ The cost of each adult ticket is $18 and the cost of each child ticket
is $12
∵ Lopez family has 3 adults and 4 children
∴ The cost of the tickets = 3(18) + 4(12) = 54 + 48
∴ The cost of the tickets = 3(18) + 4(12) = 102
∴ It would cost the Lopez family $102.00 to go to Sealand
Match each explicit formula to its corresponding recursive formula.
Answer:
See attached
Step-by-step explanation:
The answer is in below picture
Find the central angle, indicated by ?
155°
?
120°
The central angle of the circle is given by the equation A = 120°
What is Central Angle?The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.
The central angle of a circle formula is as follows.
Central Angle = ( s x 360° ) / 2πr
where s is the length of the arc
r is the radius of the circle
Central Angle = 2 x Angle in other segment
Given data ,
Let the center of the circle be O
Let the arc be represented as AB
Let the angle be represented as ∠AOB
Now , ∠AOB is a central angle with an intercepted minor arc from A to B.
Substituting the values in the equation , we get
m∠AB = 120º
The measure of the central angle ∠AOB = measure of m∠AB
So ,
The measure of the central angle ∠AOB = 120°
Hence , the central angle is 120°
To learn more about central angle click :
https://brainly.com/question/11877137
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Can u guys help me w number 5 U can answer 6 if u want too
Answer:
5. Slope: 2
y-intercept:(0,-6)
y=2x-6
6. Slope:1
y-intercept:(0,-1)
y=x-1
Find the value of X that will make L║M
Answer:
x = 60
Step-by-step explanation:
Given: L ∥ M and the line going through them is transversal
The sum of the interior angles on the same side of a transversal is equal to 180 degrees; therefore, (2x + 5) degrees + (x - 5) degrees = 180 degrees.
2x + 5 + x - 5 = 180
2x + x + 5 - 5 = 180
3x + 0 = 180
3x = 180
x = 180/3
x = 60
Double Check:
2(60) + 5 + (60) - 5 = 180 degrees
120 + 5 + 55 =
125 + 55 =
180 degrees
180 degrees = 180 degrees
x⁴+1 by x+1 ( Long division of polynomials).Please if anyone knows the answer of this question please let mr know.....if you want points and waste my time your answer will be reported...
[tex] {x}^{3} - {x}^{2} + x - 1 + \frac{2}{x + 1} [/tex]
lmk if u want an explanation for this I can try type it out
Answer:
[tex]x^3-x^2+x-1+\frac{2}{x+1}[/tex]
Step-by-step explanation:
See the picture attached.
Notice how I set up [tex]x^4+1[/tex] as [tex]x^4+0x^3+0x^2+0x+1[/tex], as it makes it easier to solve.
Also, notice that the 2 as the remainder doesn't have anything else to divide to, so that means there will be an extra term [tex]\frac{2}{x+1}[/tex] in the end of the answer.
Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------- The perimeter of any triangle is the sum of the lengths its sides. The lengths of the sides of a certain triangle, in feet, are consecutive even integers. The perimeter of this triangle is between 10 feet and 24 feet inclusive. a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle. b. Write a compound inequality to model this problem. c. Solve the inequality. List all possible lengths for the longest side of the triangle. ------------------------- This is what I have so far... (please tell me what I did wrong as well) ------------------------- 10 ≤ x+(x+2)+(x+4) ≤ 24 ------------------------- 10 ≤ 3x+6 ≤ 24 -------------------------4 ≤ 3x ≤ 18 ------------------------- 4/3 ≤ x ≤ 6
9514 1404 393
Answer:
a. x, x+2, x+4
b. 10 ≤ 3x+6 ≤ 24
c. 6 ft, 8 ft, or 10 ft
Step-by-step explanation:
Given:
The lengths of the sides of a certain triangle, in feet, are consecutive even integers.The perimeter of this triangle is between 10 feet and 24 feet inclusive.Find:
a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.
b. Write a compound inequality to model this problem.
c. Solve the inequality. List all possible lengths for the longest side of the triangle.
Solution:
You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)
a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.
__
b. Here is the compound inequality
10 ≤ x+(x+2)+(x+4) ≤ 24
__
c. Here is the solution
10 ≤ 3x+6 ≤ 24 . . . . collect terms
4 ≤ 3x ≤ 18 . . . . . . . subtract 6
4/3 ≤ x ≤ 6 . . . . . . . . divide by 3
Your working is correct, but incomplete. The values of interest are the even integers x+4.
5 1/3 ≤ x+4 ≤ 10
The longest side may be 6 ft, 8 ft, or 10 ft.
find the area k of triangle ABC WHEN A =19.2 b= 2.05 and c=9.12
Step-by-step explanation:
Area of a triangle= 1/2breadth × height
If one angle equals 130 in a triangle and the other equals 96 then what does the angle labelled X equal
Answer:
x = 46
Step-by-step explanation:
This is basic trigonometry, so we can apply this procedure...
- The total sum of all angles in a triangle is 180 (no angle should be more than 180, this is the limit) and we only need to know just one angle labeled as x, this is represented as:
130 + 96 + x = 180
x = 130 + 96 - 180
- Now we just need to obtain x:
x = 130 + 96 - 180
x = 226 - 180
x = 46
Please help with this question ASAP I will give brainliest !!!
Answer:
(2).
Step-by-step explanation:
We have the expression:
[tex]\displaystye{\ln(\displaystyle{\frac{\sqrt{e}}{y^3})}[/tex]
First, we can use the difference property of logarithms:
[tex]\ln(x/y)=\ln(x)-\ln(y)[/tex]
Hence, this is equivalent to:
[tex]=\ln(\sqrt{e})-\ln(y^3)[/tex]
We can rewrite the left as:
[tex]=\ln(e^\frac{1}{2})-\ln(y^3)[/tex]
Now, we can use the power property:
[tex]\ln(a^b)=b\ln(a)[/tex]
Essentially, we move the exponent to the front.
Hence, this yields:
[tex]=\frac{1}{2}\ln(e)-3\ln(y)[/tex]
The natural log of e is simply 1. Hence:
[tex]=\frac{1}{2}-3\ln(y)[/tex]
Combine fractions:
[tex]\displaystyle{=\frac{1}{2}-\frac{6\ln(y)}{2} \\ =\frac{1-6\ln(y)}{2}}[/tex]
Hence, our answer is (2).
If f(x) =x 2 + 10, what is f (-5)?
Answer:
f(-5) = 35
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = x² + 10
f(-5) is x = -5
Step 2: Evaluate
Substitute: f(-5) = (-5)² + 10Exponents: f(-5) = 25 + 10Add: f(-5) = 35I WILL GIVE BRAINLIEST! Parallelogram WXYZ has vertices W(-5, 3), X(-2, 0), Y(-4, -2), and Z(-7, 1), as shown in the graph below.
Which statement about parallelogram WXYZ is true?
A. Since two adjacent sides are congruent and have slopes that are negative reciprocals, WXYZ is a square.
B. Since two adjacent sides are not congruent, WXYZ is not a rhombus.
C. Since two adjacent sides have slopes that are negative reciprocals, WXYZ is a rectangle.
D. Since two adjacent sides have slopes that are not negative reciprocals, WXYZ is not a rectangle.
Answer:
d
Step-by-step explanation:
5x+4=x+44 solve for x
Answer:
x=10
Step-by-step explanation:
hope this helps
5x = x + 44 - 4
5x = x + 40
5x - x = 40
4x=40
x=40/4
x = 10
The function is f(x)=x^2+7x-8
Need immediately
Rewarding 100 points !!!!
Answer: Vertex is (-7/2, -81/4)
Axis of synmentary is x= -7/2
Directrix is y= -41/2
Step-by-step explanation:
Its on google
What is the solution to the equation 1/4x-1/8=7/8+1/2x?
X=-5
X=-4
X=4
the answer is x=-4 hope it helps
Please help me out with this question please...
Answer: B) No, every x-value does not have exactly one y-value
Explanation:
We have the input x = 3 map to the outputs y = 2 and y = 8 at the same time. A function is only possible if any given x value goes to exactly one y value.
Put another way, if x repeats itself, then we don't have a function. This assumes we don't repeat the same y value when we repeat the x value.
hi can someone answer these 3 questions for me?? thank you :)
Answer:
1) 1[tex]\frac{1}{8}[/tex]
2) 2[tex]\frac{5}{7}[/tex]
3) 1[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
Step-by-step explanation:
4 7/8 + __ = 6
__ = 6 - 4 7/8
__ = 1 1/8
3 2/7 + __ = 6
__ = 6 - 3 2/7
__ = 2 5/7
3 1/9 + __ = 5
__ = 5 - 3 1/9
__ = 1 8/9
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
A system of linear equations is given by the tables.
Answer:
Please, see the explanation.
Step-by-step explanation:
DETERMINING THE EQUATION FOR THE FIRST TABLE
Given the first table
x y
-5 10
-1 2
0 0
11 -22
From the given equation, we can verify and determine that
[tex]y=-2x[/tex] is the required equation that satisfies the table values of the first table.
substituting the table values of all the ordered pairs to check
FOR (-5, 10)
y =-2x
10 = -2(-5)
10 = 10
L.H.S = R.H.S
FOR (-1, 2)
y =-2x
2 = -2(-1)
10 = 2
L.H.S = R.H.S
FOR (0, 0)
y =-2x
0 = -2(0)
0 = 0
L.H.S = R.H.S
FOR (11, -22)
y =-2x
-22 = -2(11)
-22 = -22
L.H.S = R.H.S
As all the ordered pairs of the first table satisfy the equation.
Hence, [tex]y=-2x[/tex] is the equation for the first table.
DETERMINING THE EQUATION FOR THE SECOND TABLE
Given the first table
x y
-8 -11
-2 -5
1 -2
7 4
From the given equation, we can verify and determine that
[tex]y=x-3[/tex] is the required equation that satisfies the table values of the second table.
substituting the table values of all the ordered pairs to check
FOR (-8, -11)
y =x-3
-11 = -8-3
-11 = -11
L.H.S = R.H.S
FOR (-2, -5)
y =x-3
-5= -2-3
-11 = -5
L.H.S = R.H.S
FOR (1, -2)
y = x-3
-2= 1-3
-2 = -2
L.H.S = R.H.S
FOR (7, 4)
y = x-3
4 = 7-3
4 = 4
L.H.S = R.H.S
As all the ordered pairs of the second table satisfy the equation.
Hence, [tex]y = x-3[/tex] is the equation for the second table.
Therefore, the equations are:
[tex]y=-2x[/tex]
[tex]y = x-3[/tex]
Now, let us solve to determine the solution
[tex]\begin{bmatrix}y=-2x\\ y=x-3\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+2x=0\\ y-x=-3\end{bmatrix}[/tex]
[tex]y-x=-3[/tex]
[tex]-[/tex]
[tex]\underline{y+2x=0}[/tex]
[tex]-3x=-3[/tex]
[tex]\begin{bmatrix}y+2x=0\\ -3x=-3\end{bmatrix}[/tex]
solving
[tex]-3x=-3[/tex]
[tex]\frac{-3x}{-3}=\frac{-3}{-3}[/tex]
[tex]x=1[/tex]
For [tex]y+2x=0[/tex], plugin [tex]x = 1[/tex]
[tex]y+2\cdot \:1=0[/tex]
[tex]y+2=0[/tex]
[tex]y=-2[/tex]
Therefore, the solution to the system of equations are:
[tex]y=-2,\:x=1[/tex]
evaluate when a=15:2(a-5)+2
Answer:
22
Step-by-step explanation:
if a=15
then, 2(a-5)+2= 2(15-5)+2 = 2(10)+2= 20+2=22
Please help will mark brainliest
Answer: The awnser is B
Step-by-step explanation: ive went over the problem and checked
Please help!!! will give crown
Answer:
Mixed number: 6 1/100
Improper Fraction: 601/100
Step-by-step explanation:
Hope this helps!
Answer:
Mixed number: [tex]6\frac{1}{100}[/tex]
Improper fraction: [tex]\frac{601}{100}[/tex]
Step-by-step explanation:
A mixed number is a fraction that contains an integer and fraction part. An improper fraction is a fraction where the numerator is larger than the denominator.
[tex]6.01[/tex] can be written in the from [tex]\frac{601}{100}[/tex]. This is an improper fraction since the numerator is greater than the denominator.
The mixed number is [tex]6\frac{1}{100}[/tex] since [tex]100[/tex] goes into [tex]601[/tex] six full times with [tex]1[/tex] as the remainder.
Hope this helps :)
4(3xy^4)^3/(2x^3y^5)^4
Answer:
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
Step-by-step explanation:
Given the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
solving the expression
[tex]\:\:\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=4\cdot \:\frac{\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}[/tex]
[tex]=4\:\frac{27x^3y^{12}}{16x^{12}y^{20}}[/tex]
[tex]=4\cdot \frac{3^3}{2^4x^9y^8}[/tex]
The multiply fractions are defined as
[tex]\:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{3^3\cdot \:4}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3\cdot \:2^2}{2^4x^9y^8}[/tex]
[tex]=\frac{3^3}{2^2x^9y^8}[/tex]
Refining
[tex]=\frac{27}{4x^9y^8}[/tex]
Therefore,
[tex]\frac{4\left(3xy^4\right)^3}{\left(2x^3y^5\right)^4}=\frac{27}{4x^9y^8}[/tex]
12. Find the value of x.
(10x - 11)
(7x + 4)
Answer:
Step-by-step explanation:
7x+4=10x-11
4=3x-11
15=3x
x=5
Which is the answer???
A coin is flipped and a normal dice is rolled. How many possible outcomes are there? What is the probability of getting no heads? What is the probability of getting at least two tails?
Answer:
Below.
Step-by-step explanation:
(a) There 8 possible outcomes.
HHH TTT HHT HTH THH TTH THT HTT
(b) Prob(No Heads)
= Prob(TTT)
= 1/8.
(c) Possible outcomes of at least 2 tails are:
TTT, TTH THT HTT = 4
So Probability of this is 4/8 = 1/2.
Is the graph linear exponential or neither?
What's the gcf of 47 and 17
Answer:
The GCF of 47 and 17 is 1
Step-by-step explanation:
(24-2)180 whats the answer?
Answer:
3960 is the answer
Step-by-step explanation:
Answer:
3960
Step-by-step explanation:
...........................
...........................
answer is 3960
find the lump sum that must be deposited today to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually. Use the table of values below.
Answer:
The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
Step-by-step explanation:
We are given:
Future value (A)=$25,000
Rate r =8% (0.08%)
Time t = 9
Compounded Annually n =1
We need to find:
Principal Amount (P) = ?
The formula used will be:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding Principal Amount (P)
[tex]A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }[/tex]
So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
Which correctly represents this inequality?
A number times two is less than 20 + 8.
PLS HELP!
Answer:
solving the inequality we get [tex]x < 14[/tex]
Step-by-step explanation:
We need to solve the inequality A number times two is less than 20 + 8
Let the number be x
The inequality will be:
2x < 20+8
Now solving the inequality to find the value of x
[tex]2x < 20+8\\2x < 28\\x<\frac{28}{2}\\x<14[/tex]
So, solving the inequality we get [tex]x < 14[/tex]
In figure a I am attaching the number line for solution.
In figure b I am attaching the graph for solution.
The sum of three numbers is 54. The third number is 6 more than the first. The second number is 2 times the third. What are the numbers?
Answer:
9, 30, and 15.
Step-by-step explanation:
Let the three numbers be a, b, and c.
The sum of them is 54. So:
[tex]a+b+c=54[/tex]
The third number is 6 more than the first. In other words, c=a+6.
The second number is twice the third. In other words, b=2c.
Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).
Let’s substitute them into our equation. So:
[tex]a+2(a+6)+(a+6)=54[/tex]
Solve for a. Distribute:
[tex]a+2a+12+a+6=54[/tex]
Combine like terms:
[tex]4a+18=54[/tex]
Subtract 18 from both sides:
[tex]4a=36[/tex]
Hence, the value of a is:
[tex]a=9[/tex]
So, the first number is 9.
The third number is 6 more than the first, so the third number is 15.
The second number is twice the third. So, the second number is 30.
Therefore, our numbers are:
9, 30, and 15.