The inequalities which represent relationships between the number of doubles (x) and amount of gospels (y) are x + y ≤ 11,7x + 4y ≥ 56 and y ≥ 3.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
No more than 11
x + y ≤ 11
Total earning ≥ $56
7x + 4y ≥ 56
At least 3 gospels
y ≥ 3
Hence "The inequalities which represent relationships between the number of doubles (x) and amount of gospels (y) are x + y ≤ 11,7x + 4y ≥ 56 and y ≥ 3".
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find the slopes of the given points -5,-1 and -5,-10
The slope (m) of the given points is -9.
What do we mean by slopes?A line's steepness can be determined by looking at its slope. In mathematics, the slope is determined by dividing the change in y by the change in x, or "rise over run."Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.So, the slope will be:
Slope formula: m = y₂ - y₁/x₂ - x₁Now, calculate as follows:
m = y₂ - y₁/x₂ - x₁m = -10 - (-1)/-5 - (-5)m = -10+ 1/-5 + 5m = -9/0m = -9Therefore, the slope (m) of the given points is -9.
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The volleyball team has a record of 6 wins and 2 losses. What other team has a proportional win-loss record? Basketball: 12 wins, 5 losses Football: 3 wins, 1 loss Wrestling: 12 wins, 6 losses Debate: 3 wins, 4 losses
The number of win and losses of the volleyball team is related by a constant number, 3. This means that they're proportional. To find if the other teams also have proportional win-loss records we need to divide the number of their wins by the number of losses, if the result is an integer number, then they're proportional. We have:
[tex]\begin{gathered} \text{ basketball=}\frac{12}{5}=2.4 \\ \text{ football=}\frac{3}{1}=3 \\ \text{ wrestling=}\frac{12}{6}=2 \\ \text{ debate =}\frac{3}{4}=0.75 \end{gathered}[/tex]Since the football team has a proportional win-loss record with the same proportion as the Volleyball team, then this is the correct answer.
Square root of 4n^2+4n^2
PLEASE HELP
Giving brainliest
Answer: 8n^2
Step-by-step explanation:
I did test and got 100
find the Area and Perimeter of the shaded figure Area = x squre unitsPerimeter = x units
Solution
We want to find the area and perimeter of the shaded figure.
The shape below is a rectangle
Therefore, the area of a rectangle is
[tex]\begin{gathered} A=L\times W \\ \text{ Where L is the length and W is the width} \end{gathered}[/tex]while the perimeter of a rectangle is given by
[tex]P=2(L+W)[/tex]Here, L = 2 unit and B = 3 units
[tex]A=2\text{ units}\times3\text{ units}=6\text{ square units}[/tex][tex]P=2(2+3)=2\times5=10\text{ units}[/tex]Hence,
Area = 6 square units
Perimeter = 10 units
Raj ahs put a soup intot he freezer to cool down. The soups temperature started at 170 °F and decreased at a rate of 30 °F per hour. Let h represent the number of hours the soup stays in the freezer.
Actual question:
Raj wants the soup to cool down so that its temperature, when he takes it out of the freezer, is at most 74 °F. Write an inequality in terms of that represents all times when the soup is cool enough for Raj to take it out of the freezer.
The inequality in terms that represents all times when the soup is cool enough for Raj to take it out of the freezer is:
170 - 30h ≤ 74
Given, Raj has put a soup intot he freezer to cool down.
The soups temperature started at 170 °F and decreased at a rate of 30 °F per hour.
Let h represent the number of hours the soup stays in the freezer.
Raj wants the soup to cool down so that its temperature, when he takes it out of the freezer, is at most 74 °F.
we are asked to determine an inequality in terms of that represents all times when the soup is cool enough for Raj to take it out of the freezer.
⇒ 170 - 30h ≤ 74
⇒ 170 - 74 ≤ 30h
⇒ h ≥ 3.2
Hence we get the required inequality form.
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A patient is advised by his doctor to reduce his daily soda intake by 25%. Currently, he drinks 4.5oz. cans of soda per day. How many ounces of soda can the patient drink if he reduces his intake by 25%?
Answer: 3.375oz
Explanation
Given
• Reduce his daily soda intake by 25%.
,• Currently, he drinks 4.5oz. cans of soda per day.
,• Ounces of soda can the patient drink if he reduces his intake by 25%?
We have to build a relation, where 4.5 is our 100% and x is 75% (100 - 25 = 75%):
[tex]\frac{x}{75}=\frac{4.5}{100}[/tex][tex]x=\frac{4.5}{100}\cdot75[/tex]Solving for x:
[tex]x=4.5\cdot0.75[/tex][tex]x=3.375[/tex]find the product of (4x +1)(4x -1)
(4x +1)(4x -1)
Apply the distributive property:
4x (4x ) + 4x (-1) + 1 (4x) + 1 (-1)
16x^2 -4x + 4x -1
Combine like terms:
16x^2-1
Answer:
16x² - 1
Step-by-step explanation:
(4x + 1)(4x - 1)
each term in the second factor is multiplied by each term in the first factor , that is
4x(4x - 1) + 1(4x - 1) ← distribute parenthesis
= 16x² - 4x + 4x - 1 ← collect like terms
= 16x² - 1
43 divided by 516
Please help
Answer:
IT IS 12
Step-by-step explanation:
is y=5^w an exponential function if so state the initial value and the base if not then which type of function is it
By using the property of exponential function, the results obtained are
Base of the function is 5.
Initial value of the function is close to zero.
What are exponent?
Exponent tells us how many times a number is multiplied by itself.
For example : In [tex]2^4 = 2\times 2\times 2\times 2[/tex]
Here, 2 is multiplied by itself 4 times.
If [tex]a^m = a \times a\times a....\times a[/tex] (m times), a is the base and m is the index.
Here,
[tex]y = 5^w[/tex] is an exponential function.
The base of the function is 5.
As [tex]x \rightarrow -\infty[/tex], the function tends to 0
So the initial value of the function is close to zero.
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joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day. on days when he doesn't walk, he runs all that distance at the gym. but if he walks 2 blocks, he cuts of 1/12 a mile off his run. today joshua walked 12 1 12 blocks. how far will he run at the gym?
3.75 miles he run at the gym.
What is distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Given: Joshua likes to make sure he gets enough exercise, so he always moves at least 4 1 /4 miles each day.
On days when he doesn't walk, he runs all that distance at the gym.
But he walks 2 blocks, he cuts of 1/12 a mile off his run.
Today Joshua walked 12 blocks.
As he walked 12 blocks - 6 times 1/12 miles - so that's 0.5 a mile he cut from the exercise.
He will run at the gym for 4.25 - 0.5 = 3.75 miles in total.
4.25 - 6(1/12) = 3.75
Therefore, 3.75 miles he run at the gym.
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Please help me!
What is the probability distribution table for this bar graph?
A. Pink 0.3 Green 0.2 Yellow 0.05 Blue 0.45
B. Pink 0.6 Green 0.2 Yellow 0.4 Blue 0.9
C. Pink 0.25 Green 0.25 Yellow 0.25 Blue 0.25
D. Pink 6 Green 4 Yellow 1 Blue 9
Answer:
A. Pink 0.3 Green 0.2 Yellow 0.05 Blue 0.45
Step-by-step explanation:
Adding up the total number of values:
[tex]6+4+1+9=20[/tex]
Then, finding the probability of each color:
Pink: [tex]6/20=0.30[/tex]
Green: [tex]4/20 = 0.20[/tex]
Yellow: [tex]1/20=0.05[/tex]
Blue: [tex]9/20=0.45[/tex]
please help The table below shows the probability distribution of a random variable Y. What is the expected value of Y? Write your answer as a decimal.
Step 1. We are given a table with values for Y and their corresponding probability P(Y).
Required: Find the expected value of Y.
Step 2. First, we will label the Y values as Y1, Y2, Y3, Y4 as shown in the diagram:
And we will label the corresponding probabilities as P1, P2, P3, and P4, shown in the following diagram:
Step 3. The formula to calculate the expected value E(Y) is:
[tex]E(Y)=Y_1P_1+Y_2P_2+Y_3P_3+Y_4P_4[/tex]Step 4. Substituting the values from step 2 into the formula from step 3:
[tex]E(Y)=(14)(0)+(15)(0.6)+(16)(0.3)+(17)(0.1)[/tex]Solving the operations:
[tex]\begin{gathered} E(Y)=0+9+4.8+1.7 \\ E(Y)=15.5 \end{gathered}[/tex]The expected value is 15.5
Answer: 15.5
Create an equation of a line in point-slope form. Be sure to identify all parts of the equation before writing the equation.
The equation of line in point slope form created is
[tex]y - 3 = 1(x - 2)\\[/tex]
What is equation of line in point slope form?
The most general form of equation of line in point slope form is given by
[tex]y - y_1 = m(x - x_1)[/tex]
Where m is the slope of the line and ([tex]x_1, y_1[/tex]) is the coordinate of the point through which the line passes
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
Here
Let the line passes through ( 2, 3) and (4, 5)
Slope = [tex]\frac{5-3}{4-2}[/tex]
= [tex]\frac{2}{2}[/tex]
= [tex]1[/tex]
Equation of line in point slope form
[tex]y - 3 = 1(x - 2)\\[/tex]
This is equation of line in point slope form.
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Here is a graph representing the relationship in question 3. Interpret the set of coordinates (30, 7).
children's tickets sold
60
55
50
45
40
30
25
20
5
(30, 7)
10 15 20 25 30 35 40
adult tickets sold
O 7 children's tickets and 30 adult tickets were sold
O 30 children's tickets and 7 adult tickets were sold
O When 7 tickets are sold, $30 is collected
O (30, 7) is not a possible solution
The correct option 2 that is 30 children's tickets and 7 adult tickets were sold.
Given : A graph which has adult tickets in the x - axis
and children tickets in the y - axis
The marked point is ( 30, 7 )
this means that the value of x axis 30 and y axis is 7
thus from the above information it is clear that there are 30 children's tickets and 7 adult tickets were sold.
So the correct option is Option 2
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can you solve this quickly
Answer:
A
Step-by-step explanation: The lines are only intersecting with each other once
Answer:
A) 1 solution; consistent and independent
Step-by-step explanation:
on the graph the line only intersects once so there is only 1 solution and if 2 graphs have at least 1 solution it is considered consistent and if it has only one solution then it is independent.
Hopes this helps please mark brainliest
For the model y = 150(0.8)^x in the problem, what will be the world population of Iberian lynx in 2020? Year Population2003 1502004 120 A.2B.3C.20D.39
B
1) In this question, y stands for population, and x stands for year.
2) Since the first year is 2003, then 2020 -2003 = 17. Let's plug into x, this value:
[tex]\begin{gathered} y=150(0.8)^{17} \\ y=3.37\text{ } \\ y\approx3 \end{gathered}[/tex]3) Rounding off to the nearest whole number, the population of Iberian lynx will be approximately 3 lynxes.
Which ordered pair is the solution to this system of equations?• y=x+4x + y = 21 (1,5)2 (0,2)3 (-1,3)4 (4.0)
Given the system of the equations:
y = x + 4
x + y = 2
By substitution with y from the first equation at the second equation
so,
x + (x+4) = 2
solve to find x
so,
x + x + 4 = 2
2x = 2 - 4
2x = -2
Divide both sides by 2
x = -2/2 = -1
Substitute at the first equation with x to find y
So, y = -1 + 4 = 3
so, x = -1 and y = 3
so, the order pair which a solution is (-1 , 3)
Solve y=9/5x +5
Find the slope
Answer:
m=9/5
Step-by-step explanation:
The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer: |28| |62| |90|
Mobile device: |46| |64| |110|
Column totals: |74| |126| |200|
What is the joint relative frequency of students who use a mobile device in an online class?
Relative frequency of students who use online class in percentage = 62.17%
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.
Here,
Number of students using mobile in traditional class = 46
Total number of students in traditional class = 74
Relative frequency of students who use online class in percentage =
[tex]\frac{46}{74} \times 100[/tex]
= 62.17%
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Which of the following lines goes through the point -3,4 and is perpendicular to y= 3/2x+6?
The slope of equation [tex]y=\frac{3}{2}x+6[/tex] is [tex]m=\frac{3}{2}[/tex].
The equation of line perpendicular to another line in point slope form:
[tex]y-y_1 = -\frac{1}{m}(x-x_1)[/tex]
Substitute [tex]m=\frac{3}{2}[/tex] and the point [tex](-3,4)[/tex] into the above equation form:
[tex]y-4=-\frac{1}{3/2}(x-(-3))\\y-4=-\frac{2}{3}(x+3)\\-----------\times 3\\3y-12=-2(x+3)\\3y-12=-2x-6\\2x+3y-12+6=0\\2x+3y-6=0[/tex]
Hence the equation of the line is [tex]2x+3y-6=0[/tex].
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In an experiment, the probability that event B occurs is -, and the probability that event A occurs given 7 기 7 that event B occurs is - 8 What is the probability that events A and B both occur? Simplify any fractions.
ANSWER
P(A and B) = 1/2
EXPLANATION
By the Bayes Theorem we have a relationship between the given probabilities:
[tex]P(A\text{ and B)}=P(B)\cdot P(A|B)[/tex]In this problem P(B) = 4/7 and P(A|B) = 7/8:
[tex]P(A\text{ and B)}=\frac{4}{7}\times\frac{7}{8}=\frac{4}{8}=\frac{1}{2}[/tex]Which of the following is equivalent to 1.92?
A.1.92%
B.19.2%
C.25/23
D.1 23/25
Answer :A i think
Step-by-step explanation:
Write8600asaBabylonianNumeral.
First we need to divide 8600 by 3600 and the remainder divide it by 60, let's see how it goes:
This means that we can write 8600 like this:
[tex]8600=3600x2+60x23+20[/tex]With the quotients and the laste residue we can make the block of symbols:
Which expressions are equal to 11 x 10³2 Select all that apply.
Answer:
Option B,A,C is correct
Explanation:
You're missing some info. But I did this question before.
A. 11x100
B. 11,000
C. 11x10x10x10
THESE ARE ALL CORRECT SINCE THEY ALL EQUAL 11000 .
Someone please help me out I rlly need help
The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
According to the question,
We have the following information:
We have two lines that are intersecting each other at a point. The angles made on this point are given.
Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.
So, we will have the following equation:
3x-1 = 140
Now, we can easily find the value of x from this equation:
Adding 1 on both sides of the equation:
3x = 140+1
3x = 141
Dividing by 3 on both sides:
x = 141/3
x = 47°
Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
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What are the properties of a translation?Give the coordinates of the.T(3, -1 (AABC) for A(5, 0), B( -1, 2), C(6, -3)
Solution:
Given the coordinates of the image;
[tex]T_{(3,-1)}(\triangle ABC):A(5,0),B(-1,2),C(6,-3)[/tex]The coordinates of the new image is;
[tex]\begin{gathered} A^{\prime}(5+3,0-1),B^{\prime}(-1+3,2-1),C^{\prime}(6+3,-3-1) \\ \\ A^{\prime}(8,-1),B^{\prime}(2,1),C^{\prime}(9,-4) \end{gathered}[/tex]A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose heads in the toss. What are the odds in favor of the Cougars winning the toss in exactly two of three games?A.3:5B.3:8C.5:3D.8:3
in irder to solve this problem
we need to now that the probability to win one coin toss is 0.5
so other thing we need to know is
there all these possible scenarios that will happen
w= win
L=lose
WWW
WWL
WLW
LWW
LLW
LWL
LLW
LLL
as you can see only in 3 scenarios when the cougar win exactly 2
so the correct answer is B
find range of f(x)=4/3x^2-3x
Answer:
y>= -27/16
Step-by-step explanation:
I just put in the calculator
Find the number that makes the ratio equivalent to 1:2 5:_
Answer:
10
Step-by-step explanation:
1x5=5
2x5=10
Challenging. A cylinder has a diameter of 12 inches at its base. The height of the cylinder is 1.25 feet. What is the volume of the cylinder in cubic inches? Use 3.14 for 7 and round your answer to the nearest cubic inch.
Diameter of cylinder = 12 inches
radius of cylinder (r) = 1/2 x diameter = 6 inches
Height of cylinder (h) = 1.25 feet
We can convert feet to inches using the relation: 1 foot = 12 inches
So, 1.25 feet = 12 x 1.25 inches
=> 15 inches
The volume of the cylinder is given by:
[tex]V\text{ = }\pi r^2\text{ h}[/tex]Upon substituting the values of r and h
[tex]\begin{gathered} V\text{ = 3.14 x 6 x 6 x 15} \\ \\ V=\text{ }1695.6\text{ cubic inches} \\ V=1696inches^3 \end{gathered}[/tex]