Answer:
Step-by-step explanation:
No. Of quarters n(Q)= 3
No. Of dimes n(D) = 5
No. Of nickels n(N) = 2
Total T = 3+5+2 = 10
Prob(D) = n(D)/T = 5/10 = 1/2
Now there are 9 left since it is not replaced back
Prob(Q) = 3/9 = 1/3
Prob(D and Q) = 1/2 × 1/3 = 1/6
The probability you will pick a dime and then a quarter without putting the dime back in your pocket is 1/6
What is probability?Probability is the likelihood or chance that an event will occur
If you have 3 quarters, 5 dimes, and 2 nickels in your pocket, the total coins you have will be:
Total outcome = 3 + 5 + 2
Total outcome = 10
Probability of picking a dime = 5/10 = 1/2
Probability of picking a quarter = 3/9 = 1/3
Pr( a dime and then a quarter without putting the dime back in your pocket) = 1/2 * 1/3 = 1/6
Hence the probability you will pick a dime and then a quarter without putting the dime back in your pocket is 1/6
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Item 17
Are the expressions 8x2+3(x2+y) and 7x2+7y+4x2−4y equivalent? Which best explains your reasoning?
Answer: yes
Step-by-step explanation: the expressions are equivalent because they both simplify to 11x^2 +3y
Yes, the expressions [tex]8x^2 + 3(x^2 + y) and 7x^2 + 7y + 4x^2-4y[/tex]- are equivalent.
To see the equivalence, we can simplify both expressions.
Start with the first expression: [tex]8x^2 + 3(x^2 + y)[/tex].
Distribute the 3 inside the parentheses: [tex]8x^2 + 3x^2 + 3y[/tex].
Now, combine like terms: [tex]11x^2 + 3y[/tex].
Now, let's simplify the second expression: [tex]7x^2 + 7y + 4x^2 - 4y[/tex].
Combine like terms: [tex]7x^2 + 4x^2 + 7y - 4y[/tex], which also results in [tex]11x^2 + 3y[/tex].
Both expressions simplify to the same form, [tex]11x^2 + 3y[/tex], which demonstrates their equivalence.
The coefficients and variables are the same in both expressions, just arranged differently, but they yield the same result when simplified.
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3. PENTAGON The Pentagon is a five-sided
building that houses the U.S.
Department of Defense in Arlington,
Virginia. If each side of the Pentagon
measures 921 feet, what is the walking
distance around its exterior?
The Pentagon has five sides, each measuring 921 feet. To find the walking distance around its exterior, multiply the length of one side by five. The total distance is 4605 feet.
The student is asking about the walking distance around the exterior of the Pentagon, a five-sided building. Given that each side of the Pentagon measures 921 feet, we would calculate the perimeter for the distance by multiplying the length of one side by the number of sides.
To find the walking distance around the Pentagon we perform this calculation:
Perimeter of Pentagon = Side Length × Number of Sides
Perimeter of Pentagon = 921 feet× 5
Perimeter of Pentagon = 4605 feet
Therefore, the walking distance around the Pentagon is 4605 feet.
Find the next three terms of the geometric sequence -8, 12, -18,27
Answer:
-40.5, 60.75, -91.125
Step-by-step explanation:
first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.
Each marble bag sold by Latoya’s Marble Company contains 7 purple marbles for every 4 red marbles. If a bad has 32 red marbles, how many purple marbles does it contain?
Answer:
Step-by-step explanation:
7 purple to 4 red = x purple to 32 red
7 / 4 = x / 32....cross multiply because this is a proportion
(4)(x) = (7)(32)
4x = 224
x = 224/4
x = 56 purple <==
Final answer:
To find the number of purple marbles in a bag that has 32 red marbles, given the ratio of 7 purple marbles for every 4 red marbles, simply divide 32 by 4 to find the number of sets and multiply by 7. The bag will contain 56 purple marbles.
Explanation:
Given the ratio of 7 purple marbles to 4 red marbles in a bag sold by Latoya's Marble Company, we can determine the number of purple marbles if a bag has 32 red marbles. To do this, we need to use the ratio to find out how many times the number of red marbles fits into the given amount and then multiply that number by the amount of purple marbles in the ratio.
Step-by-Step Calculation:
Start with the given ratio: 7 purple marbles for every 4 red marbles.
Determine how many sets of 4 red marbles there are in 32 red marbles by dividing 32 by 4, which is 8.
Since there are 7 purple marbles for every set, multiply 7 by the number of sets, which is 8.
The result is 56 purple marbles.
Therefore, a bag with 32 red marbles will contain 56 purple marbles.
Please help me !!! Brainliest
F(x)=3x+5
G(x)=4x^2-2
H(x)=x^2-3x+1
Find f(x) + g(x)-h(x)
A.6x^2+6x-1
B.5x^2+4
C.3x^2+2
D.3x^2+6x+2
Answer:
Step-by-step explanation:
F(x) = 3x + 5
G(x) = 4x^2 - 2
H(x) = x^2 - 3x + 1
F(x) + G(x) - H(x) =
3x + 5 + 4x^2 - 2 - (x^2 - 3x + 1) =
3x + 5 + 4x^2 - 2 - x^2 + 3x - 1 =
3x^2 + 6x + 2 <===== ur answer
Answer:
it's a D
Step-by-step explanation:
3x^2+6x+2
1. 2x - 12 = 6
2. 2x + 6= 8
3. 12s - 12=12
4. 14s + 6 = 35
5. 3s - 12 = 6
6. 18t + 9 = 34
7. 21x + 7 = 28
8. 50y + 5 = 105
9. 1/4x - 6 = 24
10. 13x + 2 = 18
11. 6 - 3x = 18
12. 14 + s = 21
13. 16x - 4 = 28
14. 19x - 1 + 3 = 40
15. 10t = 194
16. 400x + 100 = 1100
17. 40 - 3x + 3 = 113
(Please help me with these problems all is appreciated)
Answer:
see the attached pictures please
Blake Ewasko's charge account uses the unpaid balance method to compute the finance
charges at a monthly periodic rate of 2.15%. During the month, he charged $189.34, made a 100.00
payment, and had a $21.54 finance charge. Find Blake's new balance.
Answer:
$1,114.66
Step-by-step explanation:
Data provided in the question:
Monthly periodic rate = 2.15% = 0.0215
current Charges = $189.34
Payment made = $100.00
Finance charge = $21.54
Now,
Previous balance = Finance charges ÷ Rate
= $21.54 ÷ 0.0215
= $1001.86
Unpaid balance = Previous balance + Current charges - Payment
= $1001.86 + $189.34 - $100.00
= $1091.2
New balance = Unpaid balance × ( 1 + Rate )
= $1091.2 × ( 1 + 0.0215)
= $1,114.66
Given Information in the question:
Monthly periodic rate = 2.15% = 0.0215 Current Charges = $189.34 Payment made = $100.00 Finance charge = $21.54
Previous balance = Finance charges ÷ Rate
Previous balance = $21.54 ÷ 0.0215 Previous balance = $1001.86Unpaid balance = Previous balance + Current charges - Payment
Unpaid balance = $1001.86 + $189.34 - $100.00 Unpaid balance = $1091.2
New balance = Unpaid balance × ( 1 + Rate )
New balance= $1091.2 × ( 1 + 0.0215) New balance= $1,114.66Blake's new balance is $1114.66.
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The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780
Janelle and Lisbeth are picking berries. Janelle picks Three-fourths of a quart more than Lisbeth picks every hour. The equation representing the scenario is 3 (x) + 3 (x + three-fourths) = 8. Which statements about the scenario and the equation are true? Check all that apply.
Answer:
The scenario is translated to Lisbeth's berries + Janelle's berries = 8 quarts.The expression x represents the quarts of berries that Lisbeth picks each hour.The girls picked berries for 3 hoursStep-by-step explanation:
i) Lisbeth picks x quarts berries every hour is given.
ii) Janelle picks (x + three fourths) quarts berries every hour is also given.
iii) It is also give that if Janelle and Lisbeth pick berries for 3 hours then the
equation representing that fact is given by 3(x) + 3(x+three-fourths) = 8
iv)From the above three equations we can say that the following are true
The scenario is translated to Lisbeth's berries + Janelle's berries = 8 quarts.The expression x represents the quarts of berries that Lisbeth picks each hour.The girls picked berries for 3 hours.What is 1 + 1 times the square root of pie times by 0.005
Answer:
[tex]1+1\cdot \sqrt{\pi }\cdot 0.005=1[/tex]
Final answer:
The expression 1 + 1 times the square root of pi times by 0.005 requires calculating the square root of pi, multiplying by 0.005, and adding that product to 1, following the order of operations.
Explanation:
To solve the equation 1 + 1 times the square root of pi times by 0.005, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). The equation can be unfolded as 1 + 0.005√π.
Now, to solve this equation we follow the below steps:
For π = 3.14, the value of √π is 1.77Multiplying 1.77 with 0.005 we have 0.0088Adding 1 to 0.0088 we have the final result as 1.0088So, the value of 1 + 0.005√π is 1.0088.
Solve each system of equations by substitution
Y=4x+13 y=6x+19
Answer:
I believe the answer to this question is: (-3,1) X=-3, Y=1.
Candace used a compass to draw the circle shown here. She then used the same compass setting to mark off arcs on
the circumference. She kept making arcs until she met her starting point. What figure will she form if she joins the arc
marks in order?
A)an irregular hexagon
B)a regular hexagon
C)overlapping triangles
D)no figure will be formed
Answer:
B
Step-by-step explanation:
Candace used a compass to draw the circle shown here. She then used the same compass setting to mark off arcs on the circumference. She kept making arcs until she met her starting point. In this way, she has marked 6 arcs. When connecting all points (intersection points), the formed figure will be a hexagon.
Since all arc have the same measure, this hexagon will be regular hexagon (hexagon with all congruent sides).
Answer:
the answer is "a regular hexagon"(B)
Step-by-step explanation:
There's no better way to answer it then how frika did.
Find the value of x
Answer:
85
Step-by-step explanation:
All triangles equal 180
Answer:
85
Step-by-step explanation:
(A triangle is 180 degrees)
52 + 43 = 95
180 - 95 = 85
Which of the following statements best explains how the graphs misrepresent the data?
A.The graphs were created with different colors.
B.The graph for City B makes its population appear much smaller, but its population is only a little smaller than City A.
C.The graphs use different scales, making it appear that City A has a larger population than City B.
D.The graphs do not include information for the years between 1950 and 2000, so there is not enough information to compare their populations.
Answer:
C
Step-by-step explanation:
The scale for graph A is 500 and the scale of graph B is by 500000 making it very unrepresentative
Help plz?!
A and B are complementary angles. If m A is 30°, what is the measure of B?
A:60°
B:150°
C: 40°
D: 90°
your answer is 60 Degrees because 60 + 30 = 90 degrees
( you need it to sum to 90 Degrees)
Find y by itself 7y=14x-21
Answer: y=2x-3
Step-by-step explanation:
divide both sides by 7
7y/7=(14x-21)/7
y=2x-3
Find c.
Round to the nearest tenth:
Help
27 CM
C= [? ]cm
Acellus!!
Answer:
a = 44.1 cm
Step-by-step explanation:
Using the Law of Sines is the way to go, but before you use it we need the measure of angle A.
180 - 102 - 28 = A so
A = 50 degrees. Now setting up the Law:
and cross multiply to get
27sin50 = asin28 and
so,
a = 44.1 cm
(this isn't my answer, cr Luv2Teach on brainly. i just saw that the same question was posted and was already answered)
Describe Bob’s data in terms of center, spread, and shape.
Step-by-step explanation:
Bob's points per game are
5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15
Calculating Median:
As the median is the middle number in a sorted list of numbers when there is an odd number of terms.
As the the total number of terms = 37
Therefore, the median is the center term which is 10.
5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15
Calculating Range:
As the given data
5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15
The range is the difference between the highest and lowest values in the data set.
The lowest value is 5
The highest value is 15
The range = 15 - 5 = 10
Calculating the interquartile range (IQR)
The interquartile range is the difference between the third and first quartiles.
The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers.So, the bottom half is
5 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10
The median of these numbers is 8.5
The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers.So, the upper half is
10 11 11 11 11 11 12 12 12 12 13 13 13 14 14 14 15 15
The median of these numbers is 12
As
The third quartile is 12
The first quartile is 8.5
Therefore,
The interquartile range = 12 - 8.5 = 3.5
Finding Mode
As the given data
5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15
The mode of a set of data is the value in the set that occurs most often.
So, It is bimodal.
Therefore, the mode is 10.
Finding Mean
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
[tex]Mean=Sum\:of\:terms\:\div Number\:of\:terms[/tex]
[tex]Sum\:of\:terms\:=\:385[/tex]
[tex]Number\:of\:terms\:=\:37[/tex]
[tex]Mean\:=\:\frac{385}{37}=10.4[/tex]
Determining whether the data is symmetrical or non-symmetrical
The data is non-symmetric, they do not have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it does not look about the same on both sides. Please check the histogram attached below.
Calculating Mean Absolute Deviation
The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean.
As the given data
5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15
Population size = 37
[tex]Mean=10.4[/tex]
Mean Absolute Deviation (MAD): 2.0
Keywords: mode, median, mean, non-symmetrical data, range, Interquartile Range (IQR)
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Simplify the algebraic expression by combining like terms 0.8x + 19 - 0.7x
Answer:
Let's simplify step-by-step.
0.8x+19−0.7x
=0.8x+19+−0.7x
Combine Like Terms:
=0.8x+19+−0.7x
=(0.8x+−0.7x)+(19)
=0.1x+19
Answer:
=0.1x+19
Step-by-step explanation:
I hooe it helps plz Mark me brainliest
Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is 1/4the area of the original square. What was the side length of the original square?
Answer:
The side length of the original square was 6 inches
Step-by-step explanation:
we know that
The area of a square is
[tex]A=b^2[/tex]
where
b is the length side of the square
Let
x ---> the length of the original square
The area of the original square is
[tex]A=x^{2}\ in^2[/tex]
The length of the smaller square is
[tex]b=(x-3)\ in[/tex]
The area of the smaller square is
[tex]A=(x-3)^2\ in^2[/tex]
The area of the smaller square is 1/4 the area of the original square
so
[tex](x-3)^2=\frac{1}{4} x^{2}[/tex]
solve for x
[tex]x^2-6x+9=\frac{1}{4} x^{2}[/tex]
Multiply by 4 both sides
[tex]4x^2-24x+36=x^{2}[/tex]
[tex]4x^2-x^2-24x+36=0\\3x^2-24x+36=0[/tex]
Solve the quadratic equation by graphing
using a graphing tool
x=2, x=6
see the attached figure
The solution is x=6 in
Remember that the solution must be greater than 3 inches (because Stacey cuts 3 inches off of the length of the square and 3 inches off of the width)
therefore
The side length of the original square was 6 inches
What is x in -3x-8y=20, -5x+y=19
Answer:
x = -4
Step-by-step explanation:
solving simultaneously
what is the measure of angle A, in degrees, in the figure shown?
Answer:
12.7 degrees
Step-by-step explanation:
there are 180 degrees in a straight line, and since the angle opposite a is 167.3, we subtract that from 180 and we get 12.7
What is the solution of the system?
10x – 2y = 24
6x+2y = 8
Answer: x = 2 , y = 5
Step-by-step explanation:
10x - 2y = 24 ..................... equation 1
6x + 2y = 8 ........................ equation 2
solving the system of linear equation by elimination method , add equation 1 and 2
16x = 32
divide through by 16
x = 2
substitute x = 2 into equation 1 to find the value of y
10(2) - 2y = 2y
20 - 2y = 2y
20 = 4y
y = 5
ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection how many action games and how many sports games does He have
Answer:
He have 15 action games and 24 sports games.
Step-by-step explanation:
Given:
Ryan has a mix of action and sports games for a total of 39 video games his action collection is three more than half his sports collection.
Now, to find the number of action games and sports games.
Let the sports games be [tex]x.[/tex]
As, given his action collection is three more than half his sports collection.
Thus, the action games = [tex]3+\frac{x}{2}[/tex] .
Total number of video games = 39.
So, we set an equation to get the number of action games and sports games:
[tex]x+(3+\frac{x}{2})=39[/tex]
[tex]x+3+\frac{x}{2} =39[/tex]
Subtracting both sides by 3 we get:
[tex]x+\frac{x}{2} =36[/tex]
[tex]\frac{2x+x}{2}=36[/tex]
[tex]\frac{3x}{2} =36[/tex]
Multiplying both sides by 2 we get:
[tex]3x=72[/tex]
Dividing both sides by 3 we get:
[tex]x=24.[/tex]
The sports games he have = 24.
Now, to get the action games we substitute the value of [tex]x[/tex]:
[tex]3+\frac{x}{2}[/tex]
= [tex]3+\frac{24}{2}[/tex]
= [tex]3+12[/tex]
= [tex]15.[/tex]
The action games he have = 15.
Therefore, he have 15 action games and 24 sports games.
The problem involves a basic algebraic system of equations. By defining variables, setting up the equations based on the problem statement, and solving the system, it is found that Ryan has 24 sports games and 15 action games.
Explanation:This is a problem related to the field of algebra in mathematics. To find the answer, we first need to assign variables: let's denote the number of sports games as 's' and the number of action games as 'a'.
From the problem, we know that the total number of sports and action games is 39, which can be written in algebra as: a + s = 39.
Also, the problem states that the number of action games is three more than half of the number of sports games. That means, a = s/2 + 3.
Now we need to solve this system of equations. Substituting the second equation into the first (replacing 'a' in the equation 'a + s = 39' with 's/2 + 3'), we get s/2 + 3 + s = 39. Solving this equation for 's', we find that Ryan has 24 sports games.
Substitute s = 24 into the first equation we got 'a + 24 = 39' . Solving this for 'a', we find that Ryan has 15 action games.
Therefore, Ryan has 24 sports games and 15 action games.
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Will mark brainliest once it becomes available
Answer:
m=47
Step-by-step explanation:
Answer:
m=47
Step-by-step explanation:
8 1/3 subtract 2 2/3
Answer:
5 2/3........................
Which pair of rectangles is similar? Plzzzx help me
Option 1 is correct
Step-by-step explanation:
Similarity means two images having same shape or one image can be obtained by uniformly scaling the other image.
In the given options, one rectangle is larger and the other is smaller so we have to check which pair of rectangles contain rectangle that is obtained by scaling the other rectangle.
So
We can find the scale factor by dividing the sides of larger rectangle by dividing the respective sides in smaller rectangle.
Option 1:
[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{15}{4} = 3.75[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 2:
[tex]Scale\ for\ length = \frac{6}{2} = 3\\Scale\ for\ width = \frac{8}{4} = 2[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 3:
[tex]Scale\ for\ length = \frac{6}{3} = 2\\Scale\ for\ width = \frac{15}{8} = 1.875[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 4:
[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{12}{4} = 3[/tex]
As the scale is same for both sides(Uniform), so the rectangles are similar
Hence,
Option 1 is correct
Keywords: Rectangles, similarity
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Hey, can yall help me with this question?
SIR YOUR ANSWER IS B. I K FO SHO. THANK YOU. HOPE THIS HELPS. MIND MARKING BRAINLIEST AGAIN? XD THANKS
Consider the following piece-wise function. Which of the below correctly describes the graph shown?
Answer:
C.
[tex]f(x)=\left\{\begin{array}{l}\dfrac{1}{2}x-3,\ \ x<2\\ \\3x-8,\ \ x\ge 2\end{array}\right.[/tex]
Step-by-step explanation:
The graph of the piecewise function consists of two linear functions which graphs meets at point with x-coordinate x = 2.
1. The left linear function is determined for all x < 2 and is passing through the points (0,-3) and (-2,-4). So, its slope is
[tex]\dfrac{-4-(-3)}{-2-0}=\dfrac{-1}{-2}=\dfrac{1}{2}[/tex]
and its equation is
[tex]y-(-3)=\dfrac{1}{2}(x-0)\\ \\y=\dfrac{1}{2}x-3[/tex]
2. The right linear function is determined for all x ≥ 2 and is passing through the points (2,-2) and (3,1). So, its slope is
[tex]\dfrac{1-(-2)}{3-2}=\dfrac{3}{1}=3[/tex]
and its equation is
[tex]y-1=3(x-3)\\ \\y=3x-8[/tex]
3. Hence, the expression for the piece-wise function is
[tex]f(x)=\left\{\begin{array}{l}\dfrac{1}{2}x-3,\ \ x<2\\ \\3x-8,\ \ x\ge 2\end{array}\right.[/tex]
The slope of a line is the rate of change. The correct option is the first option.
What is the slope of a line?The slope of a line is the rate of change, also it can be described as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
In order to know the correct option of function that describes the graph, we will find the function of the graph, therefore,
Let's find the equation of the first function that is on the left side of the graph.
We know that the slope of the line is given by the formula,
[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Considering the two of the points of the slope,
[tex](x_1, y_1) = (2,-2)\\(x_2, y_2) = (-4,-5)\\[/tex]
Substituting the values to know that slope of the line, therefore,
[tex]\text{Slope of the line}, m= \dfrac{-5-(-2)}{-4-2} = \dfrac{-3}{-6} = \dfrac{1}{2}[/tex]
Now, using one of the points to know the value of the constant,
[tex]y=mx+c\\y_2 = mx_2+c\\-5=(\dfrac{1}{2}\times -4)+c\\-5=-2+c\\-3=c[/tex]
Hence, the equation that will represent the graph for the values of x less than -2 is [tex]y=\dfrac{1}{2}x-3[/tex].
Since, there are only two options that match this condition, the first option and the third option, now other functions will represent the rest of the graph, therefore, for the value of x greater than -2 (x≥-2).
Hence, the correct option is the first option.
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