Solving a system of equations we can see that Lucy is 30 years old.
How old did lucy turn this year?Let's define the variables:
L = Lucy's age.
F = father's age.
We know that when Lucy turns 15, her father was 3 times her age, so:
if L = 15
then F = 15*3 = 45
So her father is 30 years older than Lucy.
So we can write the linear relation:
F = L + 30
Now we know that this year, her father has exactly twice Lucy's age, then we have the system of equations:
F = L + 30
F = 2*L
Replacing the other equation here we get:
L + 30 = 2*L
30 = 2*L - L = L
30 = L
Lucy is 30 years old.
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Sam spent a total of $24 at the school carnival. He paid a $6 entrance fee and $2 for each ride. Which equation can be used to determine how many rides Sam rode at the carnival?
Answer:
The correct equation is 2x + 6 = 24.
help please kylie solved the following problem incorrectly
a.) In Line 1 Kylie made her error.
b.) Kylie's error is that she opened the bracket -2(x - 5) in the first line and did not change the negative sign to a positive sign as she multiplied -2 and -5 as a negative number multiplied by a negative number is a positive number.
c.) The correct solution to the problem is given by,
Given: 6x - 2(x - 5) = 22
6x - 2x + 10 = 22
4x = 22 - 10
4x = 12
x = 12/4
x = 3
Hence, the value of x is 3 and not 8.
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2. Decide whether or not each equation represents a proportional relationship. a. The remaining length (L) of 120-inch rope after x inches have been cut off: 120- x = L. EMERGENCY
Due to the fact that the line does not pass through the origin, the equation does not represent a proportionate relationship.
What is proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.
Given Data
The remaining length (L) of 120-inch rope after x inches have been cut off: 120- x = L.
The fact that
If a relationship between two variables, x and y, can be written as or, then it represents a proportionate variation.
y = kx
The line passes through the origin, and the constant of proportionality, k, is equal to the slope of the line, m.
There are
The length (L) of a 120-inch rope that is left after x inches have been removed.
There are
The dependent variable is L —->. (output variable)
The independent variable is x. (input variable)
The linear formula is
L = 120-x
Due to the fact that the line does not pass through the origin, the equation does not represent a proportionate relationship.
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QUICK!! I need help please.
In a square, side = 8cm, breadth = ?, area = ?
In a square, if the side is 8 cm and the square is having all its sides equal. Therefore, the area will be 8×8 = 64 cm²
Square: A plane-closed figure with four sides, having all four sides equal and connected with one another at 90° which creates four right angles.
unlike a rectangle that has both length and breadth and all sides are not equal, rather rectangle has two opposite sides equal.
if, length = breadth, this will result in the formation of a square.
Therefore, Breadth in the square doesn't exist as all sides are equal in the square. Area of a square = side× side
⇒ 8×8 = 64 cm².
breadth doesn't exist in the square.area = 64 cm²To know more about the area and perimeter of the square, follow the below link:
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(z+4) (z+2) (z − 1) = 0
-
Select all of the following values that make the equation true.
04
01
0-4
00
0-2
02
0-1
The Zero Product Property simply notes that if ab = 0, then either a = 0 or b = 0. The solutions exists x = -4, x = -2, x = 1.
What is meant by zero-factor rule?The zero-product property in algebra asserts that two nonzero items cannot be multiplied together to produce zero.
The Zero Product Property simply notes that if ab = 0, then either a = 0 or b = 0 (or both). A product of factors exists zero if and only if one or more of the factors exists zero.
Let the given equation be (x+4)(x+2)(x-1)=0
By using the Zero Factor Principle, we get
If ab = 0 then a = 0 or b = 0
then x + 4 = 0 or x + 2 = 0 or x - 1 = 0
Solve x + 4 = 0
⇒ x = -4
Solve x + 2 = 0
⇒ x = -2
Solve x - 1 = 0
⇒ x = 1
The solutions are x = -4, x = -2, x = 1
Therefore, the correct options exists:
b) 1
c) -4
e) -2
The complete question is:
An equation is shown below.
(x + 4)(x + 2)(x - 1) = 0
Select all of the following values that make the equation true.
a) 4
b) 1
c) -4
d) 0
e) -2
f) 2
g) -1
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5/6 x = 15
Explain please and say the answer
Answer:
x=18
Step-by-step explanation:
multiply both sides of the equation by 6/5
simplify
yw
3) A retailer allows 15% discount on the marked price of an electric fan. If a customer pays Rs. 2244 with 10% VAT, find the marked price of the fan.
Answer:
Step-by-step explanation:
so if this = that then this = x plus five 5 into 9
is
6 9 420 = 69x so pls go away 4848]
568393=334-0i34-0 o
IF U ANSWER THIS U GET 50 POINTS.THIS FOR A TEST.
Dealership B has produced the following graph to show that their customers are more satisfied than the customers of two of their competitors. Which statement best describes why the graph is misleading?
A horizontal bar graph titled 'Car Dealership Satisfaction Rating' is shown.
Three bars of data are represented on the graph. The horizontal axis shows a short distance to 70 percent from the left, a longer distance to 80 percent, an equal distance to 90 percent, and another equal distance to the unlabeled end of the axis.
· The first bar is labeled 'Dealership upper A' and extends horizontally to less than half way between 80 percent and 90 percent.
· The second bar is labeled 'Dealership upper B' and extends horizontally to less than half way between 90 percent and the end of the graph.
· The third bar is labeled 'Dealership upper C' and extends horizontally to more than halfway between 80 percent and 90 percent.
A. It is difficult to determine the actual satisfaction levels for each car dealership, so a clear comparison cannot be made.
B. Using percentages makes it seem like there is a large difference in customer satisfaction between Dealership B and its competitors.
C. Not enough car dealerships were included in the survey.
D. Dealership B’s customer satisfaction looks better than it really is because the graph does not start at zero.
Answer:
the first opinion is the right answer
Step-by-step explanation:
brainliest
Identify the interval on which the quadratic function is positive.
1. y = -7x^2 + 35x - 28
Identify the interval on which the quadratic function is negative.
2. y = 2x^2 - 4x - 16
Help on these problems above would be appreciated, thanks! (ɔ◔‿◔)ɔ ♥
Answer:
[tex]\textsf{1. \quad Solution: $1 < x < 4$,\quad Interval notation: $(1, 4)$}[/tex]
[tex]\textsf{2. \quad Solution: $-2 < x < 4$,\quad Interval notation: $(-2, 4)$}[/tex]
Step-by-step explanation:
Question 1The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.
The zeros of the quadratic function are the points at which the parabola crosses the x-axis.
As the given quadratic function has a negative leading coefficient, the parabola opens downwards. Therefore, the interval on which y > 0 is between the zeros.
To find the zeros of the given quadratic function, substitute y = 0 and factor:
[tex]\begin{aligned}y&= 0\\\implies -7x^2+35x-28& = 0\\-7(x^2-5x+4)& = 0\\x^2-5x+4& = 0\\x^2-x-4x+4& = 0\\x(x-1)-4(x-1)&= 0\\(x-1)(x-4)& = 0\end{aligned}[/tex]
Apply the zero-product property:
[tex]\implies x-1=0 \implies x=1[/tex]
[tex]\implies x-4=0 \implies x=4[/tex]
Therefore, the interval on which the function is positive is:
Solution: 1 < x < 4Interval notation: (1, 4)Question 2The intervals on which a quadratic function is negative are those intervals where the function is below the x-axis, i.e. where y < 0.
The zeros of the quadratic function are the points at which the parabola crosses the x-axis.
As the given quadratic function has a positive leading coefficient, the parabola opens upwards. Therefore, the interval on which y < 0 is between the zeros.
To find the zeros of the given quadratic function, substitute y = 0 and factor:
[tex]\begin{aligned}y&= 0\\\implies 2x^2-4x-16& = 0\\2(x^2-2x-8)& = 0\\x^2-2x-8& = 0\\x^2-4x+2-8& = 0\\x(x-4)+2(x-4)&= 0\\(x+2)(x-4)& = 0\end{aligned}[/tex]
Apply the zero-product property:
[tex]\implies x+2=0 \implies x=-2[/tex]
[tex]\implies x-4=0 \implies x=4[/tex]
Therefore, the interval on which the function is negative is:
Solution: -2 < x < 4Interval notation: (-2, 4)A video game costs $25.
After a 40% discount, Mohamad pays $
I
for this game.
Answer:
$15
Step-by-step explanation:
25÷100×40=10
25-10=15
Answer:
Discount is 40 % so Mohamad will pay 60%
25x 60/100
=1 x 60/4
=60/4
=15
60% of $25 is= $15
Mohamad pays $15
PLSS MARK AS BRAINLIEST
The product of 2 and the difference of a number and 5.
The expression for the product of 2 and the difference of a number and 5 is 2x - 10
What is an algebraic expression?An algebraic expression can simply be defined as mathematical expressions that are composed of terms, variables, coefficients, factors and constants
These expressions also known to be made up of various mathematical or arithmetic operations, such as;
MultiplicationBracketSubtractionParenthesesAdditionDivision, etcFrom the information given, we have;
The product of 2 and the difference of a number and 5.
Let the number be x
This can be represented thus;
2(x- 5)
expand the bracket, we have;
2x - 10
Hence, the expression is 2x - 10
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Complete question:
Write the expression for
Find the dividend. ___ ÷ 12 = 4.55
5.46
5.64
54.6
56.4
Answer:
54.6
Step-by-step explanation:
Answer:
54.6
Step-by-step explanation:
Multiply 4.55 by 12 to get 54.6.
Then divide it by 12 to get 4.55
Select all ratios equivalent to 6:8
21:28. 9:12. 36:48
Answer:
All of them
Step-by-step explanation:
The ratios equivalent to 6:8 would be:
21:28
9:12
36:48
All of these answer choices would be correct because they are all multiples of 6
A magician is training for an underwater escape trick. Using a new technique, he can hold his breath for 144 seconds. That is 60% more than he was able to do when he first tried. How long could the magician hold his breath when he first tried?
The number of seconds that the magician hold his breath when he first tried is 90 seconds.
How to calculate the value?With the new technique, he can hold his breath for 144 seconds and that is 60 percent more than he was able to do when he first tried.
Let the number of seconds for the first try be represented by x. Therefore, based on the information, this will be illustrated as:
= x + (60% × x) = 144
x + 0.6x = 144
1.6x = 144
Divide
x = 144 / 1.6
x = 90
Therefore, the first try is 90 seconds.
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Simplify the expression 2(2/5) + 2(-1/5)
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
2([tex]\frac{2}{5}[/tex] ) + 2(- [tex]\frac{1}{5}[/tex] )
= [tex]\frac{4}{5}[/tex] + (- [tex]\frac{2}{5}[/tex] )
= [tex]\frac{4}{5}[/tex] - [tex]\frac{2}{5}[/tex]
= [tex]\frac{2}{5}[/tex]
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Find the side of a square whose diagonal is of the given measure.Given = 12*10^(1/2) ft.
We have to find the side of a square with a diagonal with length 12√10 ft.
We can sketch this as:
We can apply the Pythagorean theorem as:
[tex]\begin{gathered} a^2+a^2=(12\sqrt{10})^2 \\ 2a^2=12^2\cdot10 \\ 2a^2=144\cdot10 \\ a^2=\frac{144\cdot10}{2} \\ a^2=720 \\ a=\sqrt{720} \\ a=\sqrt{16\cdot9\cdot5} \\ a=4\cdot3\cdot\sqrt{5} \\ a=12\sqrt{5} \end{gathered}[/tex]Answer: the square side length is 12√5
Please help I don’t know what it is I’ll give lots of pointssss.
Answer:
Step-by-step explanation:
1) p - m = n
p = n + m
p - n = m
p - m = n ; p = n + m and p - n = m represents same relationship.
2)
[tex]\sf p =\dfrac{n}{m} \ ; \ m =\dfrac{n}{p} \ and \ pm = n \ represents \ same \ relationship.[/tex]
3)
[tex]\sf \dfrac{m}{p}= n \ ; \dfrac{m}{n}=p \ ; \ and \ pn = m \ represents \ same \ relationship.[/tex]
Write the missing partial products in the area model Then, write the partial to complete the equation below. Find the sum
The missing partial products are:
10 x 2 = 20
6 x 50 = 300
6 x 2 = 12
The sum of the partial products is,
16 x 52 = 500 + 300 + 20 + 12 = 832
Here the partial products method is used to find the product of two two digit numbers 16 and 52.
For this a table of the form given in the figure is constructed in which the partial products are found.
For this first split 16 and 52 into 10 + 6 = 16 and 50 + 2 = 52.
Then take the partial products between 10 and 50, 10 and 2, 6 and 50, 6 and 2. Then take the sum of all these four values to get the final answer. This is the method of partial products.
So finding the partial products,
10 x 50 = 500
10 x 2 = 20
6 x 50 = 300
6 x 2 = 12
To find the final answer, take the sum of these products.
500 + 300 + 20 + 12 = 832
⇒ 16 x 52 = 832
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whats the sum of a number and negative three in a algebraic expression
Answer: x+-3
Step-by-step explanation: So you can make the number a variable so I put x and you add -3 so your answer would be x+-3
Hope this helped!!!!
if the cost price of 20 pencils is equal to selling price of 16 pencils,find the profit percent.
Answer:
how i understand this is:
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by
100
=125%?
(correct me if am wrong)
which of the following expressions represents the distance between -1/4 and 3/4
The expression that represents the distance is |-1/4 - 3/4|
How to determine the distance expression?From the question, the endpoints are given as
-1/4 and 3/4
Rewrite the endpoints properly
This is done as follows
Endpoint 1 = -1/4
Endpoint 2 = 3/4
The distance expression between the endpoints is then calculated as
Distance = |Endpoint 1 - Endpoint 2 |
Substitute the known values in the above equation
So, we have the following equation
Distance = |-1/4 - 3/4|
Hence, the disance expression is |-1/4 - 3/4|
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Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.
f(x)=6x+5 and g(x)= x-5/6
a. f(g(x))= (Simplify your answer.)
b. g(f(x))= (Simplify your answer.)
Step-by-step explanation:
a. f(x) = 6x+5 and g(x) = x--5/6
f(g(x)) = 6x + 5
Now, let x = g(x) (remember f(x) = 6x+5 so we got the x from f(x))
f(g(x)) = 6(x--5/6) + 5
Open bracket
f(g(x)) = 6(x -- 5/6) + 5
f(g(x)) = x -- 5 + 5
f(g(x) = x
b. g(f(x) = x--5/6
g(f(x) = (6x+5) -- 5/6
g(f(x)) = 6x + 5 -- 5/6
g(f(x)) = 6x/6
g(f(x)) = x...
To check for inverse
1/g(f(x) = 1/x
1/f(g(x) = 1/x
Meaning 1/f(g(x) = 1/g(f(x) inverse of each other
#AllonGod
Time Conversions: Convert to the asked time.
. 8 hours, 20 minutes, and 36 seconds =
hours
The answer in hours is 8.91 hours.
How do you convert minutes and seconds to hours?Converting between hours, minutes, and seconds using decimal time is relatively straightforward: time in seconds = time in minutes * 60 = time in hours * 3600. time in minutes = time in seconds / 60 = time in hours * 60. time in hours = time in minutes / 60 = time in seconds / 3600.
Given: 8 hours 20 minutes and 36 seconds
20 minutes in hours can be written as 20 / 60 = 1/3 hours or 0.9 hours
because as mentioned above 1 hour = 60 min
and 36 seconds in hours can be written as 36/ 60X60 = 1/ 100 hours or 0.01 hours .
because 1 min = 60 seconds and 1 hour = 60 min
thus 1 hour = 60 X 60 seconds
Thus the final answer is 8+0.9+0.01 hours = 8.91 hours
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Faster faster i need help i mark brainliest if you do it
The true statement is option A, They show that the equation represents the same line.
Given,
Two equations:
Equation A : 4y - 3x = 4
Equation B : -2x - 8y = 8
These lines intersect at a single point (-2, -0.5)
We have to find the true statement which satisfies the values x as -2 and y as -0.5.
Lets check
x = -2
y = - 0.5
Equation A:
4y - 3x = 4
4 × (-0.5) - 3 × (-2)
= -2 - (-6)
= - 2 + 6
= 4
Here, the values satisfies Equation A.
Now,
Equation B:
-2x - 8y = 8
= - 2 × (-2) - 8 × (-0.5)
= 4 + 4
= 8
Here also, the values satisfies the Equation B.
So, the true statement will be,
Option A, They show that the equation represents the same line.
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Which is the most efficient step to solve the equation 2/3n=15 ?
Group of answer choices
Multiply both sides by 2/3
Subtract 15 from both sides
Subtract 2/3 from both sides
Divide both sides by 2/3
Answer:
This is the most optimal way to resolve the problem:
Step-by-step explanation:
15/n+2 = 3n/n
15/n+2 = 3
3 (n+2) = 15
n = 5 - 2
n = 3
While working out at the gym, Bryan spent 30 minutes lifting weights and 45 minutes on the stair-climber. What is the ratio of the time Bryan spent on the lifting weights to the total time spent at the gym?
Answer:
30/75 = 2/5 or 2:5
Hope this helps!!!
Please Help!!!
Which graph represents the solution to negative one half m is greater than or equal to seven elevenths?
number line with closed circle on point negative 14 over 11 and arrow shaded to the right
number line with closed circle on point negative 7 over 22 and arrow shaded to the right
number line with closed circle on point negative 14 over 11 and arrow shaded to the left
number line with closed circle on point negative 7 over 22 and arrow shaded to the left
The solution set to the inequality, -1/2m ≥ 7/11, is: m ≤ -14/11.
See attachment for the graph.
How to Graph the Solution Set to an Inequality?If the possible set of values to an inequality is "greater than or equal to" (≥), or "less than or equal to" (≤), then a closed circle is used to indicate the point on the graph.
On the other hand, an open circle is used for "< or >".
If it is "> or ≥" the shaded arrow is drawn to the right, if "< or ≤", it is drawn to the left of the inequality graph.
Given the inequality, -1/2m ≥ 7/11, solve for m:
-1/2m(-2) ≥ 7/11(-2)
m ≤ -14/11 [the sign changes because we are multiplying both sides by negative number]
The solution to the inequality is: m ≤ -14/11.
The graph is given below for m ≤ -14/11.
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Answer:
D
Step-by-step explanation: the answer is D with the arrow pointing to the left.
Hope this helps!
Which fractions are equivalent to 0.6? Select all that apply.
Answer:
22/33,2/3 and 6/9=0.66666666666666666 or 0.6(bar) as asked in question
3/5 is equal to 0.6 not 0.66666666
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Dr. Wolf, the biologist, captures 20 fish out of a small lake behind his college. He fastens a
marker onto each of these and throws them back into the lake. A week later, he again
captures 20 fish. Of these, 2 have markers. How many fish could Dr. Wolf estimate are in
the pond?
There are 200 fishes estimated.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
captures 20 fish out of a small lake behind his college.
Now,
He again catches 20 fishes out of which 2 have markers
let the estimated fish are x.
So,
2/ 20 = 20 /x
20 x 20 = 2x
400 = 2x
x= 400/ 2
x= 200
Hence, there are 200 fishes estimated.
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