The father is 27 because when they said 3 TIMES OLDER THEN THE SON he was 9
The father is 24 years old and the son is 6 years old. You know this is right because it shows that the father 4 times older than the son
10 points for answer 11!!11!!
that is the 2nd one Gomez to Chang
For this one, it is important to know that when it says "under par" think of that as a negative number. When doing that, here are the choices:
Jones= +3
Chang: -5
Gomez: -2
Harrison: -4
In golf, the lowest score wins, so put the numbers in numerical order from lowest to highest. Here the answer:
-5, -4, -2, +3
Now match the scores with the corresponding person:
Chang, Harrison, Gomez, and Jones
So A is your answer.
Hope this helps!
the area of each square is 16 square units find the perimeter of a figure
The perimeter of the rectangular pattern, formed by arranging 16 squares with an area of 16 square units in a 4x4 layout, is 16 units.
To determine the perimeter of a rectangular pattern formed by arranging 16 squares, each with an area of 16 square units, in a 4x4 layout, we can follow these steps.
First, we know the area of each square is 16 square units, which means the side length of each square is the square root of 16, which is 4 units.
Now, when these squares are arranged in a 4x4 pattern, you have 4 squares along the length and 4 squares along the width. The length and width, in terms of these squares, are both 4 squares.
The perimeter of a rectangular shape is calculated using the formula: Perimeter = 2 × (Length + Width).
Plugging in the values:
Perimeter = 2 × (4 + 4) = 2 × 8 = 16 units.
So, the perimeter of the resulting figure is 16 units. This means, when you trace the outline of this 4x4 arrangement of squares, the total distance around the shape is 16 units. Each side contributes 4 units, and there are four sides, giving us a total perimeter of 16 units. This calculation follows the basic principles of perimeter for rectangular shapes and applies them to the given arrangement.
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A line has a slope of -1/2 and a y-intercept of –2. So what is the x intercept on the line.
A. -4
B. -1
C. 1
D. 4
Answer:
(4,0)
Step-by-step explanation:
The equation of the line is y = (-1/2)x - 2. At the x-intercept, y = 0. Setting y = (-1/2)x - 2 to zero, we get (1/2)x = 2, and thus x = 4.
Can anyone help me? I need an exact answer, please no guesses. Thanks in advance
The first step is to figure out what angle DEB is equal to. Check out the attached image. I've marked this as angle y and it is shown in purple.
Note how the purple angle y and the orange 160 degree angle form a straight angle (180 degrees). So the two angles add to 180. Let's solve for y
(orange angle) + (purple angle) = straight angle
(angle CEB) + (angle DEB) = angle CED
y+160 = 180
y+160-160 = 180-160 ... subtract 160 from both sides
y = 20
----------------------------------
Now we can use this to figure out angle x. The three angles x, 115, and 20, combine to 180 degrees as they all glue together to form a straight angle. Let's solve for x:
x+115+y = 180
x+115+20 = 180 ...replace y with 20
x+135 = 180 ......... combine like terms
x+135-135 = 180-135 ...... subtract 135 from both sides
x = 45
Therefore, the final answer is 45
the function f shown in the graph is an even function.
f is increasing over the interval 0 < x < 2.
f(2) = 3.
f is decreasing over the interval 2 < x < 5.
In Mathematics and Geometry, a function f(x) is considered as an even function if the following condition holds for all x-values (both positive x-values and negative x-values) in the domain of function f(x):
f(x) = f(-x) ⇒ symmetrical with y-axis.
This ultimately implies that, a function that is symmetric with respect to the y-axis is an even function.
In this context, we can logically deduce the opposite of this graph would be defined over the interval x ≥ 0. Therefore, we can reasonably infer and logically deduce the following true statements;
f is increasing over the interval 0 < x < 2.
f(2) = 3.
f is decreasing over the interval 2 < x < 5.
Write an inequality that represents the fact that while making your product
you can’t exceed this spending limit. Im making beads for 25 cents and selling them for 1$ my spending limit is 40$
Answer:
[tex]x \leq 40 / 0.25\\ x \leq 160\\[/tex]
Step-by-step explanation:
If the spending limit is $ 40 and making each beads costs $ 0.25, then the amount of accounts you must do multiplied by the manufacturing cost should not exceed $ 40.
Then the inequation that this restriction would represent is:
[tex]0.25x\leq 40\\[/tex]
Where x is the number of beads made.
This could also be written more specifically:
[tex]x \leq 40 / 0.25\\ x \leq 160\\[/tex]
Therefore the number of beads must be less than or equal to 160
sam read 75 pages of a new mystery novel in 2 hrs. if the book contains 350 pages and he always reads the same rate, how long will it take him to read the entire novel
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Equation:
please write it in order like l Equation: l a0- l a1 = l a2
Lets put Monday as 'm'
Monday: m
Tuesday: 2m
Wednesday 2m-6
The Three Days: 5m-6
Final Answer: 5m-6=19
Suppose farmers could grow only a limited number of tomatoes this year. what would be the effect of this decrease in production on the price of tomatoes
Answer:
Due to decrease in production of tomatoes price will increase.
Step-by-step explanation:
Whenever a commodity whose demand is there in market produce in limited number, it price increases.
Since demand of the tomatoes will remain as usual but limited number of tomatoes will be there in the market so price of the tomatoes will increase. In this way consumer who can afford the price of tomatoes will purchase it and those consumer who can't afford it will not purchase it.
Is .634 an integer ??
No.
An integer is a whole number.
In the case of .634 (or 0.634), we see that it is not a whole number, as there is a decimal point, and numbers to the right of the decimal points.
hope this helps
No, because .634 is an odd number and odd numbers cannot be integers.
13_,644=130,000
List the possible digits that could go in the thousands place to make this statement correct. Use a number line
Answer:
The possible digits 0, 1, 2 , 3 or 4 .
Step-by-step explanation:
The possible digits that could go in the thousands place to make 13_,644 ≈ 130,000 this statement correct are: 0 1, 2,3 or 4.
For example: 132,644 may rounded off to 130,000
Round the number to the nearest thousand make the numbers whose last three digit through 644 into the next lower numbers that ends in 000.
Using number line for this possibility as shown in the below diagram:
Which graph represents the inequality? 2x + y < 4
The _____ of y=-5sin2x is 5
A. Amplitude
B. Period
C. Frequency
Answer:
Amplitude
Step-by-step explanation:
I just had this question and got it right
Can someone please help me
Write an equation in point-slope form for the line. Y=mx+b
Let’s first know what y=mx+b is.
M= slope
B=y-intercept
Since the problem gives us the slope, we can add it in already, which helps us a lot.
y=4x+b
This problem gives us a coordinate. We can substitute the numbers with the values.
3=4(1)+b
3=4+b
-b=4-3
-b=1
b=-1
Now that we have the y-intercept, we now have the hard parts done and now all we do is put it together.
Answer: y=4x-1
To see if it is correct, we can substitute numbers in (like the coordinate) to see if it was right.
3=4-1
3=3
There is your answer!
What is the domain of this function? A. {3, 9, 12} B. {-2, 2, 3, 4} C. {-2, 2, 3, 4, 9, 12} D. {3}
B. {-2, 2, 3, 4}
usually in a graph like this, the domain (x) is on the left side, and the range (y) is on the right side.
hope this helps! ❤ from peachimin
6y-5x=5 and x=2y+7 using substition in linear functions
6y-5x=5 x=2y+7
x=2y+7 x=2(-10)+7
6y-5(2y+7)=5 x= -20+7
6y-10y-35=5 x= -13
6y-10y=5+35
-4y=40
y= -40/4
y=-10
Final answer:
To solve the given system using substitution, express x from the second equation and substitute into the first, then solve for y. After finding y, substitute it back into the second equation to find x, resulting in x = -13 and y = -10.
Explanation:
Solving Linear Equations Using Substitution Method
To solve the system of linear equations 6y - 5x = 5 and x = 2y + 7 using the substitution method, we first take the second equation, which gives us an expression for x, and substitute it into the first equation.
Step 1: Write the second equation x = 2y + 7.
Step 2: Substitute x in the first equation: 6y - 5(2y + 7) = 5.
Step 3: Expand and simplify: 6y - 10y - 35 = 5 ⇒ -4y = 40 ⇒ y = -10.
Step 4: Now that we have y, we substitute it back into the second equation to find x: x = 2(-10) + 7 ⇒ x = -20 + 7 ⇒ x = -13.
Therefore, the solution to the system of equations is x = -13 and y = -10.
the sum of twice a number and 5 is at most 3 less than the number
2x + 5 ≤ x - 3
We can treat this like a usual algebraic equation.
Subtract x from both sides.
x + 5 ≤ -3
Subtract 5 from both sides.
x ≤ -8
Thus, x is less than or equal to the quantity -8.
We can test this by plugging in two values into the original inequality: a number greater than -8, and a number less than -8.
2x + 5 ≤ x - 3
We'll use 2 first.
2 * 2 + 5 ≤ 2 - 3
9 ≤ -1 × this is incorrect
Now we'll use -10
2x + 5 ≤ x - 3
2 * -10 + 5 ≤ -10 - 3
-15 ≤ -13 √ this is correct
Mathematics defines an algebraic equation as a statement in which a relationship between two expressions is established through an equals sign.
For the given question the equation will be:
[tex]\rm 2x + 5 = x - 3[/tex]
On solving the above equation, x can be defined as -8.
Solution of Algebraic Equation.Let the number be x.
According to the question:
Twice of x + 5 = x - 3
This forms a quadratic equation:
[tex]\rm 2x + 5 = x - 3[/tex]
The equation [tex]\rm 2x + 5 = x + 3[/tex] can be solved as follows:
[tex]\begin{aligned} \rm 2x + 5 &= x - 3\\\\ 2x - x &= -3 - 5\\\\x &= -8 \end[/tex]
Therefore the number is -8.
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Wouldn't let me type the question so I just attached an image.
30 tens = ones
30 tens = hundreds
30 tens = 30 x 10 = 300
300 ones = 300 x 1 = 300
300 is your answer
30 tens = 30 x 10 = 300
3 hundreds = 3 x 100 = 300
3 is your answer
~Rise Above the Ordinary
A math club is researching a golf tournament fund-raiser. It will cost $1,000 to host the tournament. If it rains, the club will lose the investment. If it is sunny, it is expected that the club will collect $4,500 from the participants. If the chance of rain is 20%, what is the expected value for the tournament?
A.) –$800
B.)–$200
C.)$2600
D.)$3400
your answer would b c or $2600
The expected value for this tournament is given as C. $2600
How to solve for the expected value for the tournamentThe cost of hosting = 1000
The amount to be gotten if sunny = 4500
The chance that it would rain = 20 percent
4500 - 1000 = 3500
Chance of rain-1000 * 20%
= -200
3500 * (1-20%) = 2800
2800 - 200
= 2600
Hence the expected value that has been solved for the tournament is $2600
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You have invested in three different stocks: Engineering Aces, Upton Clothiers, and Thompson Musical Instruments. Because you have diversified your stocks so well, the way they change is independent. The probabilities of the stocks changing in value by more than 10% in a given week are listed below.
P(E) = 19%
P(U) = 11%
P(T) = 6%
What is the probability that all three will change by more than 10% in the same week?
Answer:
answer is 0.001254.
Step-by-step explanation:
Given that you invested in 3 stocks of Engineering Aces, Upton Clothiers, and Thompson Musical Instruments.
Also given that each stock value is independent of the other.
Let E be the event changing in value by more than 10% in a given week for Engineering Aces,
U be the event changing in value by more than 10% in a given week for Upton Clothiers, and T be the event changing in value by more than 10% in a given week for Thompson Musical Instruments.
Given that P(E) = = 19%
P(U) = 11%
P(T) = 6%
probability that all three will change by more than 10% in the same week
= P(EUT)
= P(E) P(U) P(T) since three events are independent.
=0.19(0.11)0.06
= 0.001254
Final answer:
The probability that all three stocks, Engineering Aces, Upton Clothiers, and Thompson Musical Instruments, will change by more than 10% in the same week is calculated by multiplying their individual probabilities together, resulting in a probability of 0.1254%.
Explanation:
The question asks for the probability that all three stocks will change by more than 10% in the same week, given their individual probabilities.
To find this probability, since the changes in stocks are independent of each other, we multiply the probabilities of each event occurring together. The formula for the joint probability of independent events is P(E and U and T) = P(E) × P(U) × P(T).
Using the given probabilities:
P(E) = 19% or 0.19P(U) = 11% or 0.11P(T) = 6% or 0.06We calculate:
P(E and U and T) = 0.19 × 0.11 × 0.06
Which equals:
P(E and U and T) = 0.001254 or 0.1254%
Therefore, the probability that all three stocks will change by more than 10% in the same week is 0.1254%.
what information is necessary to prove two triangles similar by the SAS similarity theorem
Answer:
Sample Response: You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.
Step-by-step explanation:
Different similarity theorems require different information.
The SAS similarity theorem requires two congruent sides and a congruent angle, between the corresponding sides.
The SAS similarity theorem stands for: Side-Angle-Side
This means that:
Two corresponding sides of the triangles are congruentThe angle between the corresponding sides are also congruent.Hence, the SAS similarity theorem requires two congruent sides and a congruent angle, between the corresponding sides.
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Mrs. Escalante was riding a bicycle on a bike path. After riding 2/3 of a mile, she discovered that she still needed to travel 3/4 of a mile to reach the end of the path. how long is the bike path.
The answer to your question is...
1 5/12 or 17/12The length of the bike path is 1 5/12 miles.
Explanation:To find the length of the bike path, we need to determine the total distance Mrs. Escalante travels. She rode 2/3 of a mile and then discovered she still needed to travel 3/4 of a mile. This means she has already traveled a total of 2/3 + 3/4 = 17/12 miles. Let's convert this to a mixed number: 1 5/12 miles. Therefore, the length of the bike path is 1 5/12 miles.
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what is the solution to {2x +3y=11 and 3x+3y=18
Answer:
The ordered pair that satisfies the equation is (7, -1)
Step-by-step explanation:
In order to find this, we can solve by subtracting. Start by stacking the two equations on top of one another and subtracting like terms.
3x + 3y = 18
(-) 2x + 3y = 11
--------------------
x = 7
Now that we have the value for x, we can plug in to either equation to find y.
2x + 3y = 11
2(7) + 3y = 11
14 + 3y = 11
3y = -3
y = -1
Final answer:
By applying the method of subtraction to eliminate one variable, we find that the solution to the system of equations 2x + 3y = 11 and 3x + 3y = 18 is x = 7 and y = -3.
Explanation:
Solving a System of Linear Equations
The two linear equations given are:
2x + 3y = 113x + 3y = 18To find the solution, we can follow a method similar to the one described for solving simultaneous linear equations. We can subtract the first equation from the second to eliminate the variable y:
3x + 3y = 18-(2x + 3y = 11)This gives us x = 7. Now we can substitute x back into either equation to get the value of y:
2(7) + 3y = 11
By solving this, we get y = -3.
The solution to the system of equations is x = 7 and y = -3.
The gcf of two numbers less than or equal to 12 is 2. Their LCM is 20.What are the numbers?
We know:
[tex]LCM(a,\ b)=\dfrac{ab}{GCF(a,\ b)}[/tex]
We have
[tex]GCF(a,\ b)=2,\ LCM(a,\ b)=20,\ a\leq12,\ b\leq12[/tex]
Substitute:
[tex]20=\dfrac{ab}{2}\qquad|\cdot2\\\\ab=40[/tex]
[tex]40=1\cdot40=2\cdot20=4\cdot10=5\cdot8[/tex]
Only 4 and 10 meet the requirements of the question.
--------------------------------------------------------------------
40 and 1 NOT, because 40 > 12
20 and 2 NOT, because 20 > 12
5 and 8 NOT because GCF(5, 8) = 1
The numbers are 4 and 10 or 5 and 8.
Lowest common multiple :The relation is given as,
[tex]LCM*GCF=m*n[/tex]
Where m and n are two numbers.
Given that, [tex]GCF=2,LCM=20[/tex]
Substitute values in above relation.
[tex]m*n=2*20=40[/tex]
Since, both numbers less than or equal to 12.
We observed that,
[tex]4*10=40\\\\5*8=40\\[/tex]
The numbers are 4 and 10 or 5 and 8.
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David plants a tree that is 3 feet tall. at the end of the 4 years it has grown to be 6 feet tall, and then stops growing. after 7 years, david cuts down the tree to put in a pool. what is the domain, in years, of the function that represents the height of the tree?
The domain of the function is (0, 7) years.
The function that represents the height of the tree is defined over the period during which the tree's height changes. Given that,
The tree starts growing at 0 years (the time when it is first planted). It grows for 4 years, reaching a height of 6 feet by the end of that period. After 4 years, the tree stops growing and remains at 6 feet for the remaining 3 years. After 7 years total (4 years of growth + 3 years of constant height), the tree is cut down.
The domain of the function that represents the height of the tree is the time interval from when the tree is planted until it is cut down.
Is 15 a multiple of each of its factors
I'm not quite sure what it's asking for you to do but...
_________
Yes, 15 includes 3 and 5, 5 and 3 multiplied is a way to get 15.
The multiple of 15 is 30, 45 and 60.
Yes, 15 is a multiple of each of its factors.
The factors of 15 include 3, and 5. Which is excluding 1 and itself, 15. So, if you ask if 15 is a multiple of its factors, the answer is yes. If you multiply 3 by 5, you get 15. If you multiply 5 by 3, you get 15.
Therefore, we can conclude that 15 is a multiple of its factors.
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You buy a book of five basketball tickets for $62.50 what is the rate of cost per ticket ?
Divide $62.50 by 5, and your answer will be $12.50 per ticket.
Choose the correct description of the graph of the compound inequality
3x + 2 > 2 and 3x less than or equal to 6.
A) A number line with an open circle on 0, shading to the left, and a closed circle on 2, shading to the right
B) A number line with a closed circle on 0, shading to the left, and an open circle on 2, shading to the right
C) A number line with a closed circle on 0, an open circle on 2, and shading in between D) A number line with an open circle on 0, a closed circle on 2, and shading in between
first simplify the inequalities:
3x+2>2 --> x>0 that corresponds to an open circle at 0 and shading to the right
3x <= 6 --> x<=2 that is a closed circle at 2 and shading to the left
together they have shading between open@0 and closed @2 so the
Answer (D) is correct
if X is a rational number and Y is the opposite of X, why do X and Y have the same absolute value
In mathematics, the absolute value of a number represents its distance from zero on the number line. If X is a rational number and Y is the opposite of X, their absolute values are the same because they are the same distance from zero, regardless of direction.
Explanation:In the realm of mathematics, rational numbers have a property called absolute value. The absolute value of a number is its distance from zero on the number line, regardless of direction. So, if X is a rational number, Y being its opposite means it is the same distance from zero, but in the other direction.
For example, if X = 3 (a rational number), then Y = -3 (the opposite of X). Despite X and Y being opposites, their absolute values are the same: |3| = |-3| = 3, as both are 3 units away from zero.
Hence, no matter what values X and Y may have, if Y is the opposite of X (either positive or negative), their absolute values will always be equal because they are the same distance from zero.
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