he has 77 cents left
1.95*3=5.85
3.60*2=7.20
2.48*3=7.44
1.89+5.85+7.20+7.44+1.85=24.23
25-24.23=0.77
Dion has $23.15 left after taking into account all of his purchases as well as the tax.
Explanation:A simple subtraction issue from the subject of mathematics underlies this query. Dion started out with $25.00. We deduct this $1.85 from his initial sum to determine how much money Dion still has if he bought certain products and paid a tax of $1.85 on his purchases. Dion now has $23.15 left after subtracting $1.85 from the $25.00. This is an illustration of how you must deduct purchases and expenses from a total to determine the balance that is left.
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equivalent ratio of 64:60
An equivalent ratio of 64:60 is 16:15.
To get an equivalent ratio, you are going to simplify it like you would a fraction. An equivalent ratio would be 32:30. Then, just keep dividing both sides by the same number until both sides can't be divided by the same number. i.e. 9:6 -> 3:2 Both sides were divided by three.
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
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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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
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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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
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.
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.
does it matter what interval you use when you find the rate of change of a proportional relationship? Explain.
The interval you use when finding the rate of change of a proportional relationship does matter because the behavior of the relationship could vary within different intervals. To illustrate this, consider a proportional relationship where y is directly proportional to x. If we calculate the rate of change for different intervals, we might get different results. Therefore, it is important to specify the interval when finding the rate of change to accurately represent the behavior of the relationship within that interval.
Explanation:The interval you use when finding the rate of change of a proportional relationship does matter. The rate of change represents how a quantity changes with respect to another quantity. If you use different intervals, you may get different rates of change because the behavior of the relationship could vary within different intervals. Let me provide an example to illustrate this:
Suppose we have a proportional relationship where y is directly proportional to x:
y = kx
If we calculate the rate of change for different intervals, we might get different results. For example, if we consider the interval from x = 1 to x = 5, the rate of change would be (y2 - y1) / (x2 - x1) = (5k - k) / (5 - 1) = 4k / 4 = k. However, if we consider the interval from x = 3 to x = 7, the rate of change would be (y2 - y1) / (x2 - x1) = (7k - 3k) / (7 - 3) = 4k / 4 = k. In both cases, the rate of change is the same within each interval, but it may differ between intervals.
Therefore, it is important to specify the interval when finding the rate of change of a proportional relationship to accurately represent the behavior of the relationship within that interval.
I one day, 18 people each withdrew $100 from an ATM machine. What was the overall change in the amount of money in the ATM machine?
Since 18 people withdrew 100 dollars each, that would be 18 multiply by 100 which is 1800
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
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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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
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:
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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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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one movie club charges a $100 membership fee and a $10 for each movie . Another club charges no membership fee but movies cost $15 . Write and solve an equation to find the number of movies you need to buy for the cost of each movke club to be the same .
100 + 10m = 15m
5m = 100
m=20 movies
20 is the amount of movies to make it cost the same.
To find the number of movies at which the cost of both movie clubs would be the same, you set the cost equations for both clubs equal to each other and solve for the number of movies, m. The result is m=20.
Explanation:The subject here is essentially figuring out where the total cost of each movie club is equal. In this case, we can define two equations representing the total costs of each movie club. For the first club, which charges a $100 membership fee and $10 per movie, that equation is C1 = 100 + 10m . For the second club, which charges no membership fee but $15 per movie, the equation is C2 = 15m. Setting these two equations equal to each other gives us 100 + 10m = 15m. Solving for m (the number of movies) we subtract 10m from both sides to get 100 = 5m, then divide both sides by 5, to find that m = 20.
Therefore, if you plan to buy 20 or more movies in a year, the first club would be more cost effective. If you plan to buy less than 20 movies, the second club would be the better option.
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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!
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.
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!
Triangle QRS is a right triangle. Complete the similarity statement. ΔSTR ~ Δ
TQR
RST
SQR
RTQ
Answer:
ΔSTR is similar to ΔRTQ
Step-by-step explanation:
Given QRS is a right angled triangle. we have to find the similarity statement ΔSTR ~ Δ__
Let ∠S=x
In ΔSTR, by angle sum property
∠S+∠STR+∠SRT=180°
⇒ ∠SRT=90°-x
In ΔSRQ, by angle sum property
∠S+∠R+∠Q=180°
⇒ ∠Q=90°-x
In ΔSTR and ΔRTQ
∠SRT=∠Q=90°-x (proved above)
∠STR=∠RTQ (each 90°)
RT=RT (common)
Hence, by AAS rule ΔSTR≅ΔRTQ
∴ ΔSTR is similar to ΔRTQ
Option 4 is correct.
Answer:
RTQ
Step-by-step explanation:
Let ∠S=a, In ΔSTR, using angle sum property, we have
∠S+∠STR+∠SRT=180°
⇒ ∠SRT=90°-a
Again In ΔSRQ, using angle sum property, we have
∠S+∠R+∠Q=180°
⇒ ∠Q=90°-a
Now, In ΔSTR and ΔRTQ
∠SRT=∠Q=90°-a (proved above)
∠STR=∠RTQ (each 90°)
RT=RT (common)
Hence, by AAS rule,
ΔSTR≅ΔRTQ
Thus, ΔSTR is similar to ΔRTQ
Option 4 is correct.
If 3n-5n-24=8, then n =
the answer is -16 sooooo brainliest plzz
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
What is the arc length if θ = 7 pi over 4 and the radius is 5?
The formula for arc length is:
s= r∅
Given that ∅= 7π/4
and r= 5
Therefore, arc length s= 7π/4 *5 = 35π/4
Answer: The required arc length will be 27.5 units.
Step-by-step explanation: We are given to find the arc length with the following information :
[tex]\theta=\dfrac{7\pi}{4},~~~\textup{radius},~r=5.[/tex]
We know that the length of an arc with angle subtended at the center α and radius of the circle r units is given by
[tex]\ell=r\alpha.[/tex]
Therefore, the required arc length will be
[tex]\ell=r\theta=5\times\dfrac{7\pi}{4}=\dfrac{35}{4}\times \dfrac{22}{7}=\dfrac{5\times 11}{2}=\dfrac{55}{2}=27.5.[/tex]
Thus, the required arc length will be 27.5 units.
-7x -7x=84 (I don't need step-by-step, I just need what X equals)
Note the equal sign. What you do to one side, you do to the other.
First, combine like terms
-7x + -7x = -14x
-14x = 84
Isolate the x. Divide -14 from both sides
(-14x)/-14 = (84)/-14
x = 84/-14
Divide
x = -6
-6 is your answer for x
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~Rise Above the Ordinary, Senpai
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.
Sara needs 48 apples. There are 10 apples in each box. How many boxes should Sara buy?
She should buy 5 boxes because if she bought 4 then she would have 8 without a box
|4.2 – 6.8| + (2.4 + 7.2) A. 11 B. 12.2 C. 20.6 D. 22
12.2 jlasjajlsajlajlzwljdazdazwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
12.2
Step-by-step explanation:i did the work and got 12.2
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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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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