Using Algebraic Expressions, Leya has 156 cards and Jane has 312 cards.
Finding the number of cards:This problem involves algebraic expressions and the use of ratios and proportions. The relationship between the number of cards that Leya, Hiro, and Jane have can be expressed in terms of ratios.
Assume that number card with a variable and form an equation using the data given in the problem. And solve the equation for the variable.
Here we have
Leya has four times as many cards as Hiro.
Jane has twice as many cards as Leya.
Together, Leya and Jane have 468 cards.
Let's assume the number of cards Hiro has to be x.
According to the problem,
Leya has four times as many cards as Hiro,
which means Leya has 4x cards.
Jane has twice as many cards as Leya,
which means Jane has 2 × 4x = 8x cards.
Together, Leya and Jane have 4x + 8x = 12x cards.
We are given that together Leya and Jane have 468 cards
=> 12x = 468
Solving for x, we get: x = 39
Therefore, Hiro has 39 cards.
Using this information,
The number of cards Leya, 4x = 4 × 39 = 156 cards.
The number of cards, 8x = 8 × 39 = 312 cards.
Therefore,
Leya has 156 cards and Jane has 312 cards.
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help!!!!! will give big brain
pls help me i’ll give ty brainlist
\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)
Option B is the answer.
Answer: C
i hope you can see my handwriting
If the data below were represented with a stem-and-leaf plot, a stem of 2
would have how many leaves?
17, 22, 53, 74, 42, 62, 93, 12, 67, 29, 50
The stem of 2 would have 4 leaves in the data represented with a stem-and-leaf plot.
What is a stem-and-leaf diagram?
A stem-and-leaf plot is a way of organizing and presenting data in a table. Each data value is split into a "stem" and a "leaf."
The stem represents the tens digit of the data value, and the leaf represents the ones digit.
In the data given, the stem of 2 would include all data values whose tens digit is 2. This includes the data values 22, 42, 62, and 74.
Therefore, the stem of 2 would have 4 leaves.
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I GIVEEE BRAINLI8LSTT C
Answer:
3,-2.
Step-by-step explanation:
hope this helps. :-)
The joint distribution for the length of life of two different types of components operating in a system was given in Exercise 5.18 by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. The relative efficiency of the two types of components is measured by U = Y_2/Y_1. Find the probability density function for U.
The probability density function for U is: f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0
The joint distribution for the length of life of two different types of components operating in a system is given by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. We are asked to find the probability density function for U = Y_2/Y_1.
To find the probability density function for U, we first need to find the joint distribution of U and Y_1. We can do this by using the change of variables formula:
f_U,Y_1(u, y_1) = f_Y_1,Y_2(y_1, uy_1) * |J|
where J is the Jacobian determinant of the transformation.
The Jacobian determinant is given by:
J = |∂(y_1, uy_1)/∂(u, y_1)| = |y_1|
So, the joint distribution of U and Y_1 is:
f_U,Y_1(u, y_1) = (1/8)y_1 e^-(y_1 + uy_1)/2 * |y_1| = (1/8)y_1^2 e^-(1+u)y_1/2
Next, we need to find the marginal distribution of U by integrating out Y_1:
f_U(u) = ∫f_U,Y_1(u, y_1) dy_1 = (1/8)∫y_1^2 e^-(1+u)y_1/2 dy_1
This integral can be solved using integration by parts. The final result is:
f_U(u) = (4/(1+u)^3) * e^-(1+u)/2
So, the probability density function for U is:
f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0
This is the final answer.
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What is the value of x?
Answer:
12
Step-by-step explanation:
10x - 20 + 6x + 8 = 180
Supplementary angles
Answer:
x = 12
Step-by-step explanation:
The two given angles create a straight line (Definition of Straight Line). This means that:
\((10x - 20) + (6x + 8) = 180\)
First, combine like terms. Like terms are terms that share the same amount of the same variables:
\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 12 to both sides of the equation:
\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)
Next, divide 16 from both sides of the equation:
\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)
12 is your answer.
~
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WILL GIVE BRAINLIEST!!
How do identify which side is the hypotenuse of a right triangle?
suppose that we have collected information on how much a sample of households spend on clothing per year. if we are 90% confident that the true population mean will lie between $1,500 and $2,100, the chance that the population mean will either be less than $1,500 or above $2,100 is %.
10% of the time, the population mean will go below $1,500 or exceed $2,100.
Given that,
Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.
We have to fill the blank.
We know that,
90% of the time, the real population mean will fall in the range of $1,500 and $2,100.
The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.
So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.
Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.
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Find the value of x (in degrees).
11 0
59°
х
o
X would equal 48°
Step-by-step explanation:
59°-11°= 48° (x)
Of the 32 students in Joe's class, 8 students ride their bikes to school, 5 walk to school, 4 get a ride to school in a car, and 15 take the bus to school. What is the experimental probability of choosing a student who walks to school?
The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.
Given data ,
The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.
Number of students who walk to school = 5
Total number of students in the class = 32
Experimental probability = Number of students who walk to school / Total number of students
= 5 / 32
P = 0.15625
Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.
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Can somebody help me please.
Answer:
The correct answer is the last one: 8 x 16 = ?
Step-by-step explanation:
hope this helps. pls mark this as brainiest if im correct! Thx have a great day... :)
DJ Jacqueline is making a playlist for a friend; she is trying to decide what 15 songs to play and in what order they should be played. If she has her choices narrowed down to 10 pop, 25 reggae, and 10 blues songs, and she wants to play an equal number of pop, reggae, and blues songs, how many different playlists are possible
Answer:
\(P=4.41205084*10^2^1\)
Step-by-step explanation:
From the ques ton we are told that
Total amount N=15
Choices within 10 pop, 25 reggae, 10 blues
Generally for equal amount in her play list she's mathematically Going to have 5 of each kind Pop,Reggae,Blues
Therefore
Let the amount of differnt playlist be given as P
\(P=^1^0C_5*^2^5C_5*^1^0C_5*15!\)
\(P=252*53130*252*1307674368000\)
\(P=4.41205084*10^2^1\)
Therefore \(P=4.41205084*10^2^1\) different playlists are possible
William buys two bags of peaches and three bags of apricots for $17. Sylvla buys four bags of peaches and two bags of apricots for $22 from the
same store. What is the cost of one bag of peaches?
Answer:
4
Step-by-step explanation:
elimination method2p+3a=174p+2a=22multiply equation [1] by 4 and equation [2] by 2
8p+12a=688p+4a=44 0+8a=24divide both sides by 8
a=3
substitute 3 for a in equation 2 above
4p+[2*3]=224p+6=22take 6 to the other side of the equation
NBthe symbol changes
4p=22-64p=18divide both sides by 4
p=4
John bought 8 books
over 4 days. How many
books will he buy over
10 days?
HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
The number of research papers in Dr. Carey's area of expertise has been increasing by 3% every year. Given that 34,176 research papers were published this year, how many will be published 2 years from now?
If necessary, round your answer to the nearest whole number..
After 2 years there will be 6257 research papers published from now if the Dr. Carey's area of expertise has been increasing by 3% every year.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)
where a is a constant and a>1
We have:
The number of research papers in Dr. Carey's area of expertise has been increasing by 3% every year.
We are assuming there is exponential increase.
So,
After 2 years the published research papers (a)
a = 34,176(1 + 0.03)²
Because increasing by 3%(0.03) every year.
a = 34176(1.03)²
a = 36257.31 ≈ 36257 research papers
Thus, after 2 years there will be 6257 research papers published from now if the Dr. Carey's area of expertise has been increasing by 3% every year.
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PLS ANSWER ill give brainly
Answer:
the second one
Step-by-step explanation:
i cant graph on brainly soz but its the second table
Step-by-step explanation:
I can't graph it, but place all of the points on the second quadrant top. X axis always comes first.
Which phrases describe the graph of f(x) = |x|? Check all that apply.
V-shaped
OU-shaped
opens up
opens down
Osymmetric with respect to the x-axis
Osymmetric with respect to the y-axis
Note that the phrases that best describe the graph of f(x) = |x| are:
V-shaped (Option A)Opens up (Option C)Symmetric with respect to the y-axis (Option F). Note that f(x) = |x| is an absolute value function.What kind of function is f(x) = |x| ?1) Note that the function given above is an Absolute Function, and as given in the attached graph, you'd notice that the graph of an absolute function is always V-shaped. Thus, option A is true.
2) One must also note that where the sign before the modulus is positive, then the graph opens up (as in the case above) otherwise it opens down. Thus, option C is correct.
3) If (x,-y) lies on the function, then f(x) is in proportion with respect to the x-axis. If (-x,y) lies on the function, then f(x) is in proportion with respect to the y-axis.
Put (x,-y) in the given function.
-y = |x| ⇒ -y ≠ y
Thus, f(x) is not symmetric with regard to the x-axis.
Placing (-x,y) in the given function, we have
y = |x| ⇒ y = y
Because the point (-x,y) lies on the function, therefore (fx) is symmetric with regard to the y-axis. Hence, Option F is correct.
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You save $15,000.00. You place one-third in a savings account earning a 4.6% APR compounded annually. You then invest one quarter of the remaining balance in a 3-year U.S. Treasury bond earning a 5.2% APR compounded annually and the rest in a stock plan. Your stock plan increases in value 3% the first year, decreases 8% in value the second year, and increases 6% in value the third year. What are the balances for each account by the end of the third year and the total gain on your original saved amount?
Answer:
Step-by-step explanation:
Amount in 4.6% acct= 15000*(1/3)= 5000
Amount in bonds = 1/4*15000= 3750
Amount in stock= 15000-(5000+3750)= 6250
Amount in each account at the end of three years
5000*(1.046)^3= 5722.22668
3750*(1.052)^3=4365.94728
6250*1.03*(1-.08)*1.06= 6277.85
total: 5722.22668+4365.94728+6277.85=16366.02396
gain= 16366.02396-15000=1366.02396
or (16366.02396/15000)-1= 9.1068264%
help asap will be marked BRAINIEST
Answer:
∠BAC = 75°
Step-by-step explanation:
just subtract angle BAD from angle CAD
There are 48 people at a party. There are seven times as many adults as children. There are twice
s many females as males. If there are 5 girls (female children) at the party, how many men (male
adults) are there?
48 persons are present at the gathering. There are seven times more adults than children in the world. The number of women is two times that of men. If there are five females (young women) in attendance. The total number of male adults are15
The total number of people are in the party is equal to 48
Let the number of children be x
So, the number of adults in the party is equal to 7 x
x + 7 x =48 ( This is a linear equation)
So, the number of children in the comes to be 6
Number of adults in the party = 6 * 7 = 42
Now let the number of males be y
So total number of females = 2 y
Y+2y = 48 ( This is a linear equation)
Y=16
Therefore, the number of males is 16 and the number of females is 32
The number of children in the party is 6 and the female child is equal to 5
Then, the number of male children =6-5 = 1
So total number of males in the party is equal to 16
Adult males =total number of males - number of male children
=16 - 1 = 15
Hence the total number of male adults =15
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Are these equations equivalent?
3 (x+4) = 12 and 3 (x+1) = 4
Answer:
no
Step-by-step explanation:
You can simplify them both.
3x+12=12 and 3x + 3 =4
make them both so they equal 0
3x=0 and 3x-1=0
no, theyre not equal since when they both equal 0, they are not the same equation
Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
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Jeff has a square piece of art paper. He cuts across it from one corner to the opposite corner to make two pieces. What is the total number of sides and angles in both of the new shapes?
Answer:
The number of sides is 3 on each piece of paper, altogether there are 6 sides.
The total number of angles on a triangle is 180°, altogether the sum of both triangles is 360°
Classify the triangle by its sides and angles. Explain your reasoning.
The triangle that has been shown is a scalene obtuse triangle.
What is a scalene obtuse angle triangle?
A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.
A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.
Thus we have a scalene obtuse triangle.
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Does anyone know how to do this? Please help!
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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Argyle wants to make T-shirts for students. Customink is willing to offer a deal with the school that each shirt will cost $5 plus a $50 fee for each shirt color. Argyle wants to make a teal and a purple shirt.
Write an equation that shows the total cost (t) for the shirts (s) made on two different colors. Also explain what the variables and constraints are.
Answer:
See explanation
Step-by-step explanation:
c=different number of colors
t=5s+50c ==> c=2
t=5s+50(2)
t=5s+100
5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.
A gamer is observing her score, y, as she plays a video game. She currently has 2,500 points and is gaining 300 points for every minute, x, she plays. Which of the following equations can be used to describe this linear relationship? y = 300x − 2,500 y = 300x + 2,500 y = 2,500x − 300 y = 2,500x + 300
The linear equation that describes this situation is:
y = 2500 + 300*x
Which of the following equations can be used to describe this linear relationship?A general linear equation is written as:
y = ax + b
where a is the slope and b is the initial value.
Here we know that she starts with 2,500 points in the game, and then she wins 300 points for every minute.
Then the initial value is 2,500, and the slope is 300, then we can write the linear equation:
y = 2500 + 300*x
That is the correct option.
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Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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