A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens
pls answer it correctly
Answers
Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :
1.)
8 : 6
Reducing each side of the ratio by an half(1/2) :
8 × ½ : 6 × ½
4 : 3
2.)
15 : 3
Reducing each side of the ratio by ⅓:
15 × ⅓ : 3 × ⅓
5 : 1
3.)
12 : 6
Reducing each side of the ratio by (one-third) ⅓:
12 × ⅓ : 6 × ⅓
4 : 2
4.)
11 : 7
Increasing the proportion by 4 :
11 × 4 : 7 × 4
44 : 28
5.)
25 eggs : 3 hens
Increasing the number of hens by 3, then egg production will also triple
25 eggs × 3 : 3 hens × 3
75 eggs to 9 hens
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Related Questions
In a raffle, 100 tickets are sold and 10 of the tickets, selected at random, win a $5 prize. A participant buys one ticket. What is the standard deviation of the amount won?
Answers
Solve the equation √7x-6=x-2. Identify any extraneous solutions. Show your work
Answers
(√7x-6)^2=(x-2)^2
7x - 6 = x^2 - 4x + 4
x^2 - 11x + 10
(x - 1)(x - 10) = 0
x = 1 and x = 10
√7(1)-6 = 1-2 is false, so 1 is an extraneous solution
√7(10)-6 = 10-2 is true, so it is a solution.
Susan made $117 for hours 9 of work.
At the same rate, how much would she make for 7 hours of work?
Answers
117/9 = 13 dollars per hour
Then find out how much she makes in 7 hours
13 • 7 = 91 dollars
$91 in 7 hours
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x + y = -1
Answers
Answer:
y=6x-1
Step-by-step explanation:
Answer:
[tex]\bold{-6x + y = -1}[/tex]
Step-by-step explanation:
The slope form is [tex]y=mx+b[/tex]. So, convert this to a slope form:
el desempeño 29 porfaaa
Answers
Step-by-step explanation:
1 more time solve and answer is ready
Please help me with this equation, the values are in the file
x + B = Fx - Dx + H
Answers
Answer:
x = -6
Step-by-step explanation:
B = 2
F = 6
D = 4
H = 8
x + B = Fx - Dx + H
x + 2 = 6x - 4x + 8
x + 2 = 2x + 8
-x = 6
x = -6
Answer:
f=1+xb+dx−h
my answer to your question
find the value of x !!!!!!
Answers
Answer:
[tex]x[/tex] = 14
Step-by-step explanation:
(4x-1)+(2x+7)+90=180
-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=
Answers
Answer: (1,10)
Step-by-step explanation:
Assuming these are the correctly written equations:
-x + 5y = 49, and
x - 4y = -39
I'll rewrite them:
5y = x + 49
y = (1/5)x + (49/5)
-4y = -x -39
y = (1/4)x + (39/4)
=====
I'll assume the question is to find the point these two lines intersect (?).
See the attached graph. They intersect at (1,10).
PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.
Which statement about the slope of the line is true?
It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.
Answers
The slope of the line of the graph is given by the ratio of the change in y-
coordinates to the change in the x-coordinates of the line.
The statement that is true about the slope of the line is; it is [tex]\dfrac{1}{2}[/tex] throughout
the line.
Reasons:
The given parameter are;
The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)
Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)
Points on the leg of the right triangle = (0, 0) to (4, 0)
Points on the second leg of the right triangle = (4, 0) to (4, 2)
Second right triangle;
Points on the hypotenuse = A(4, 2) to B(6, 3)
One leg of the right triangle extends from (4, 2) to (6, 2)
Second leg extends from (6, 2) to (6, 3)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]
[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]
Therefore;
The slope is [tex]\dfrac{1}{2}[/tex] throughout the line
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Model a desert community where 19% of the area is
desert and the rest is houses.
squares represent the area of the community
that is desert.
The area of the community that is houses is
represented by squares.
Answers
Answer: the first one is 19 and the second is 81.
Hi, How do I do this?
Answers
Answer:
3and3 4and 2 5and1
Step-by-step explanation:
3 is the coordinate of 3 4is the coordinate of 3 5is the coordinate of 1
What is the probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, i = 2, 3,. , 12?.
Answers
Answer:
0, 1/18, and 1/36
Step-by-step explanation:
For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.
For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.
For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
We have,
The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."
Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.
Let's go through the cases:
i = 2 (only possible sum with two dice):
In this case, both dice must show a 1.
The probability of this happening on a fair 6-sided die is
(1/6) * (1/6) = 1/36.
i = 3: The combinations are (1, 2) and (2, 1).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 4:
The combinations are (1, 3), (2, 2), and (3, 1).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 5:
The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).
The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.
i = 6:
The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 7:
The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.
i = 8:
The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 9:
The combinations are (3, 6), (4, 5), and (5, 4).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 10:
The combinations are (4, 6) and (6, 4).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 11:
The combinations are (5, 6) and (6, 5).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 12:
The combination is (6, 6).
The probability of this happening is (1/6) * (1/6) = 1/36.
Now, sum up the probabilities for each case:
(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)
This simplifies to:
69/36 = 23/12
Thus,
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
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Two people answer = one brainliest for best answer 100pts
Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
For similar isosceles trapezoids ABCD and WXYZ, determine which of the following proportions are equivalent to each other. Select all situations that apply.
Thank you
Answers
Answer:
The first, third, and fourth answers are correct!
find the value of x thank you
Answers
3x - 7 + 2x - 3 = 90
<=> 5x -10=90
<=> 5x = 100
<=> x=20
ok done. Thank to me :>
Can someone please help me with this? I'm so lost :(((
An octahedral die is thrown. The faces are numbered 1 to 8. What is the probability that the number is thrown is:
An even number:
A multiple of 3:
A multiple of 4:
No a multiple of 4:
Less than 4:
Answers
Answer:
An even number: 1/2, A multiple of 3: 1/4, A multiple of 4: 1/4, Not a multiple of 4: 3/4, Less then 4: 3/8
Step-by-step explanation:
Since there are eight faces all you have to do is take the number that answers the question and put it over eight.
4|x-8|+1>_5 ASAP please
Answers
Answer:
x ≤ 7 or x ≥ 9
Step-by-step explanation:
4|x - 8| + 1 ≥ 5
Subtract 1 from both sides.
4|x - 8| ≥ 4
Divide both sides by 4.
|x - 8| ≥ 1
x - 8 ≤ -1 or x - 8 ≥ 1
x ≤ 7 or x ≥ 9
How do you write 17/5 as an mixed number
Answers
Answer:
3 2/5
Step-by-step explanation:
17/5= 3 2/5
Answer:
First find the nearest number divisible by 5 to get a whole number returned
that number is 15
15/5 = 3 (no decimals)
so the ‘big’ (as I like to call it) number or the integer that isn’t part of the fraction would be 3.
now what is left?
subtract 15 from the numerator
17 - 15 = 2
replace 17 with 2 in the fraction to get 2/5
The result is [tex]3\frac{2}{5}[/tex]
to prove this is the same
multiply the ‘big number’ by the denominator
3*5 = 15
and add the numerator
15+2 = 17
now just insert the denominator below it, and you get 17/5
solve pls brainliest
Answers
Volume: 5 yards • 3 yards • 2 yards
Volume: 30 yards^3
Answer:
30yd^3
Step-by-step explanation:
dimensions are 3*5*2 (count the number of blocks) so multiply to get 30 yd^3
What is the greatest common factor of 18, 6, and 36?
Answers
Answer:
18 is the greatest common factor between those
Answer:
There are 6 common factors of 18 and 36, that are 1, 2, 3, 6, 9, and 18. Therefore, the greatest common factor of 18 and 36 is 18.
Step-by-step explanation:
Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.
Complete the table below showing the length of the fence and the cost.
Answers
Answer:
(cost ---> length)
35 ---> 5
49 ---> 7
56 ---> 8
70 ---> 10
Please Pleaseee help...will make the brainliest
Answers
Answer:
A and F.
Explaination:
what is the measure of
B 25 C 25 A 25
Answers
Answer:
C
Step-by-step explanation:
The 3 sides of the triangle are congruent.
The triangle is therefore equilateral with 3 congruent angles of 60° , so
∠ B = 60° → C
Solve the quadratic function by factoring. y = x2 - 2x - 48 First, factor the quadratic. Enter the number that belongs in the green box. y = (x + [?])(x - 1)
Answers
Answer: y = (x+6)(x-8)
Step-by-step explanation:
help with this question
Answers
Answer:
Step-by-step explanation:
A car rental company charges, y, for x, days. Days 3 4 5 6
Total Cost ($) $55.50 $74.00 $92.50 $111
Write an equation in the form of y=kx. Explain what the constant rate of change means in this context.
Answers
The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
y = dependent variablex = independent variablek = constant of proportionality.In essence; to determine the constant of proportionality, k in this case;
k = y/xSince the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
k = 18.50.A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
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5x+3y=-21 into slope intercept form
Answers
Answer:
y = 5/3x - 7
Step-by-step explanation:
5x + 3y = -21
5x - 3y = -21
-3y = -5x - 21
-y = -5/3x + 7
y = 5/3x - 7
Kayden Kohl
8th Grade Student
Answer:
Step-by-step explanation:
Y=5/3x -7
What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?
Answers
y = -2/3x is the answer
What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?
y=-2/3x
what is this anyone know?
Answers
Simplify x+2x –8+3x+1 –2x.
Answers
Answer:
4x - 7
Step-by-step explanation:
x + 2x + 3x - 2x = 4x
-8 + 1 = -7
The simplified expression is 4x -7.
What is Expression?A fine operation similar as deduction, addition, addition, or division is used to combine terms into an expression. In a fine expression, the following terms are used.
An absolute numerical number is appertained to as a constant.Variable- A symbol without a set value is appertained to as a variable. Term: A term can be made up of a single constant, a single variable, or a blend of variables and constants multiplied or divided.Coefficient In an expression, a measure is a number that's multiplied by a variable.Given:
Expression: x+2x –8+3x+1 –2x
Now, simplifying the expression by taking like terms along.
x+2x –8+3x+1 –2x
= x+ 2x - 2x + 3x - 8 + 1
= x(1 + 2 - 2 + 3) -7
= x( 4) -7
= 4x -7
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The slope of the line that passes through the points (10,8) and (4,12)
Answers
Answer:2/3
Step-by-step explanation:
10-4=6
12-8=4
4/6=2/3