Answers
Answer:
[tex]\frac{3}{4} =\frac{18}{24}[/tex] The ratios are the same .
Step-by-step explanation:
When y ∝ x then,
[tex]y=k*x[/tex]
When y ∝ 1/x then
[tex]y=\frac{k}{x}[/tex]
while k is a constant.
Answer:
3/4 and 18/24; the ratios are the same.
Step-by-step explanation:
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "three is to four as eighteen is to twenty-four."
In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.
Here, 3 and 24 are the extremes, and 4 and 18 are the means. Since the cross products are both equal to 60, we know that these ratios are equal and that this is a true proportion.
Related Questions
Here is the graph for one equation in a system of equations:
a. Write a second equation for the system so it has infinitely many solutions.
b. Write a second equation whose graph goes through (0,1) so the system has no solutions
c. Write a second equation whose graph goes through (0,2) so the system has one solution at (4,1)
Answers
1) The equation that has infinitely many solution is y = -8/11·x + 4
2) The equation of the graph that has no solution is y = -8/11·x + 1
3) The equation of the line that has only one solution is y = -1/4·x + 2
Step-by-step explanation:
1) The points on the graph are;
(0, 4), and (5.5, 0)
The slope of the line defined by the given two points, we have;
(0 - 4)/(5.5 - 0) = -40/55 = -8/11
the equation of the straight line graph in point and slope form, we have;
y - 4 = -8/11 × (x - 0)
y - 4 = -8/11·x
For the equation for the system that has infinitely many solution, we have;
y = -8/11·x + 4
2) For the equation whose graph foes through the point (0, 1) and the system has no solution, we have;
An equation that has no solution with the equation y = -8/11·x + 4, is parallel to y = -8/11·x + 4, and therefore, the slope are equal
Therefore, the equation whose graph foes through the point (0, 1) and the system has no solution, in point and slope form is given as follows;
y - 1 = -8/11 × (x - 0)
y - 1 = -8/11·x
The equation of the graph that has no solution is therefore;
y = -8/11·x + 1
3) For the equation of the graph that goes through the point (0, 2), and has a common solution with the system at (4, 1), we have;
The slope of the graph is (1 - 2)/(4 - 0) = -1/4
The equation of the line that has only one solution with the system in point and slope form is given as follows;
y - 2 = -1/4×(x - 0)
y - 2 = -1/4·x
The equation of the line that has only one solution in standard form is therefore;
y = -1/4·x + 2
The second equation for the system so it has infinitely many solutions is [tex]y=-\dfrac{3}{4}x+1[/tex] and the second equation whose graph goes through (0,2) so the system has one solution at (4,1) is [tex]\rm y = -\dfrac{1}{4}x+2[/tex] and this can be determined by using the point-slope form of the line.
Given :
The graph of the line that passes through the points (4,1) and (0,4).
The equation of the line that passes through the points (4,1) and (0,4) is given by:
[tex]\dfrac{y-1}{x-4}=\dfrac{4-1}{0-4}[/tex]
Cross multiply in the above equation.
-4(y - 1) = 3(x - 4)
-4y + 4 = 3x - 12
3x + 4y = 16
[tex]\rm y = 4-\dfrac{3x}{4}[/tex] --- (1)
a) The second equation for the system so it has infinitely many solutions is given by:
Multiply equation (1) by 2 in order to determine the second equation.
[tex]\rm 2\times \left(y = 4-\dfrac{3x}{4}\right)[/tex]
[tex]\rm 2y = 8 - \dfrac{3x}{2}[/tex]
b) The second equation that passes through (0,1) and has a slope of -3/4 is given by:
[tex](y-1)=-\dfrac{3}{4}(x)[/tex]
[tex]y=-\dfrac{3}{4}x+1[/tex]
c) The second equation whose graph goes through (0,2) so the system has one solution at (4,1) is given by:
[tex]\dfrac{y - 2}{x-0}=\dfrac{1-2}{4-0}[/tex]
Cross multiply in the above equation.
4(y - 2) = -1(x)
4y - 8 = -x
[tex]\rm y = -\dfrac{1}{4}x+2[/tex]
For more information, refer to the link given below:
https://brainly.com/question/2263981
what are the coordinate of ABC after a dilation with center 0,0 and a scale factor of 3 please help
Answers
Answer:
where the actually question at?
Step-by-step explanation:
Hello Answer this Question
Answers
Answer:
I think it might be 1 cup because I added all of the water which was 3 cups and divided it by 3 which is 1
Answer:
The answer is 1 cups
Step-by-step explanation:
how to interpret the meaning of a slope of -1.6
Answers
PLEASE HELP NO TROLLS
3. Find the measure of angle A.
Answers
Answer:
35
Step-by-step explanation:
Since this triangle is a 90 degree angle, all you'd have to do is subtract 55 from 90 and you've got you answer.
If each person at the party eats 2/8 of a pound of cheese and there are 9 people at the party, how many pounds of cheese are needed for the party?
Answers
About 5 - 6% of the student population has more than 3 pets. If the student population is 450 people, how many would have more than 3 pets?
PLEASE HELP ME PLLLEASEEEEEEEEE
Answers
Answer:
23-27 students makes up the popuation of the 5-6%
Step-by-step explanation:
450*.05= 22.5
450*.06= 27
Help.......?!!?!/1?!
Answers
Answer:
I think 157 pavers
Step-by-step explanation:
I may be able to help with number 10, if the trees are to be decorated with a ring of decorative pavers then we have to find the circumference, if the radius is 5 then using the circumference formula, 2×3.14(pi)×the radius, you'll get 31.4 and since there is 5 trees to be decorated then multiply 31.4 times 5 which will give you 157 feet of pavers to surround all five trees. I apologize if it is incorrect.
Can I please get an explanation and answer for this problem.
Answers
Answer:
132 degrees
Step-by-step explanation:
This is because if you have a 90 degree angle than the angles connected to it will be equal
To solve this, first look at the information we're given. We know that the shape the missing angle is part of is a triangle, so therefore, the sum of the interior angles will always be 180 degrees. There is a right angle inside of the triangle. One of the exterior angles is 132 degrees.
The first thing we can see from this is that the two interior angles which are not right angles must add up to 90 degrees. Since the sum of all the interior angles is 180 degrees, and there is already a 90 degree angle, the other two must add up to 90 degrees.
The next step would then be to find the other interior angle which is not the missing angle. We can do this because of the exterior angle.
A straight line always has a measure of 180 degrees. In this case, we can see that the line the exterior angle is resting on is straight, and the exterior angle + the other interior angle = the line. Therefore, 132 + the other interior angle must equal 180 degrees.
Subtract 132 from both sides, and you get the other interior angle has a measure of 48 degrees.
Now, to take that and figure out the missing angle.
We know that the angle with a measure of 48 degrees and the missing angle must add up to 90 degrees, as stated above.
48 + missing angle = 90
Subtract 48 from both sides, and you get the measurement of the missing angle is 42 degrees.
Bobby bought 10 pencils. He only liked half his pencils. How many pencils did bobby like?
Answers
Answer:
5 pencils.
Step-by-step explanation:
I divided 10 by 2.
Please help answer the question :)
Answers
7x+78 - 142=6x+73
7x-6x=73-78+142
×=137
so sam wrote
6x+73
822+73
=895 lines
hannah wrote
7x+78
959+78
1037
verify
1037
-895
= 142
hope it helps
Answer: 895
Step-by-step explanation: yeet and skurt
Find the GCF of the terms of the polynomial.
–18q^3 – 6q
A. 6
B. 6q
C. -6q
D. -6q^3
please answer WITH AN EXPLANATION thanks
Answers
Andy's Appliance Repair charges a certain amount for house calls based on the amount of time that it takes for the repair. Use the graph shown below to fill out the missing representations. Then, answer the questions that follow. (I don't need 3-9 done)
Answers
I will heart and rate if you solve this :>
random answers will be reported
Answers
Answer:
PMDAS
Step-by-step explanation:
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Addition
S - Subtraction
I hope this helped !!
Help please helppppp
Answers
Answer:
oof thats hard
Step-by-step explanation:
what is part 4???????
Answers
1. C. 49+17
2. B. 79+16
3. A. 24 X 32
4. C. 17 X 27
A rhombus has 10-in. sides, two of which meet to form a 30º angle. Find the area of the rhombus (Hint: Use a special right triangle to find the height.).
Answers
2. Suppose you are a new employee. You notice that each payment option describes a sequence and decide to use rules to help determine which option to take.
(a) Determine the iterative rule for each sequence. Show your work.
(b) Your friend trusts your tables in Problem 1, but wonders if you wrote the iterative rules correctly. Show two calculations to convince your friend that both your rules work.
3. Consider the iterative rules you wrote in Problem 2.
(a) Explain why the rules are functions.
(b) Your friend says that because the rules are functions, they can be graphed and must have y-intercepts. How would you respond to your friend’s comment?
(c) Your friend uses your rules to determine the outputs when the inputs are 18.5. Explain why her outputs are meaningless in this situation. What would you tell her about the inputs she can use?
>THESE ARE NOT MULTIPLE CHOICE QUESTIONS!
Will give brainliest to anyone who answers all letters of both questions.
Answers
I only solved Option A in this answer, I think you needed to do both. You can do Option B in the same way!
2.
(a) You're supposed to find the pattern here. Use the slope-intercept form of the equation of a line. y=mx+b. In this situation, x is the week, and y is the amount paid. If you wanted, you could use whichever variables you wanted, of course. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0. (The y-intercept doesn't really make sense in this situation, but we'll get to that later.) You can use the formula m=(y2-y1)/(x2-x1). (x1,y1) and (x2,y2) are the input/output pairs. The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1. Because of this, you can just subtract the values and find out the slope is 50/week. After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week, then you should be able to work backwards. 200-50=150
Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.
Your work would probably look something like:
m=(y2-y1)/(x2-x1)
(x1,y1)=(1,200)
(x2,y2)=(2,250)
m=(250-200)/(2-1)
=50/1
=50
y=50x+b
200=50(1)+b
200=50+b
b=200-50
=150
y=50x+150
(b) If I understand the question correctly, you have to show two instances that prove that your rule work. Just pick any two weeks, like weeks 3 and 4 and show how the rule is correct.
y=50x+150
x=3
y=50(3)+150
=150+150
=300
(This is the same value that's in the chart, which proves that the rule works. Do the same thing with another week.)
3.
(a) The rules are functions because each input has only one output. You can test this out, it's true.
(b) So we did have to find the "y-intercept" earlier. But you have to look at the domain. There won't be any amount paid on Week 0, payment starts at Week 1. So you would have to respond that yes, they can be graphed, but there's no y-intercept; the graph starts at week 1. Aditionally, there are only data points at the integer values of x. Look at part c.
(c) The outputs are meaningless because you're counting the time by weeks. There won't be any amount paid in the middle of the week, so she can only use integer inputs.
I hope this helps!! This is my first time answering a question on here.
Find the total surface area of the following net:
Answers
PLEASE HELP c=89.2yd geometry
Answers
Answer:
sorry
Step-by-step explanation:
Answer:
search it up there is a lesson
Step-by-step explanation:
A shark can swim 24 meters in 36 seconds. At this rate, how far, in meters, will the shark swim in 2 minutes?
Answers
Answer:80 meters
Step-by-step explanation: 24 meters = 36 secs
2 mins = 120 secs
Cross multiply
24×120/36
= 80 meters
Hope I helped you!!
Help me please hurry
Answers
Answer:
Its 28
Step-by-step explanation:
Q[tex]3[/tex] = [tex]\frac{3}{4}[/tex] (n+1)
Have an amazing day
Find the missing dimension of the triangle.
Answers
Answer:
4.66 or 14/3
Step-by-step explanation:
Area of a triangle is (base × height)/2. They have given you the height and the area already, so:
14 = ( b × 6 ) / 2
28 = b × 6
4.66 = b
The base of the triangle is B = 4.667 feet or 14/3 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle be represented as A
Now , the value of A is A = 14 feet²
Let the height of the triangle be H = 6 feet
Let the base of the triangle be B
And , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
14 = ( 1/2 ) x 6 x B
On simplifying the equation , we get
14 = 3B
Divide by 3 on both sides of the equation , we get
B = 14/3 feet
Therefore , the base of the triangle is B = 4.667 feet
Hence , the base of triangle is 4.667 feet
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ2
A pair of shoes originally cost $60. If they are on sale with a mark-down of 25%, how much do they cost now?
Answers
if u were discounting something, you would do ( .discount amount x original price ) - original amount! you will get a “-“ with the answer, just remove the “-“!!
The perimeter of a square is 176 centimeters. If the square is dilated by a scale factor of 0.25, what is the length of each side of the new square?
Answers
Answer:
11
Step-by-step explanation:
First we need to find the length of each side: 176/4 = 44
Then multiply that by the scale factor = 11.
What is 2x+3=3x-6 I need help I have 2 hours
Answers
Answer:
9
Step-by-step explanation:
2x+3=3x-6
6+3 = 3x - 2x
x = 9
I hope im right!!
3+6
2x+9=3x
3x-2x
9=1x
9/1= 9
I'm super confused, help.
Answers
Answer:
5/6 = 21/35
Step-by-step explanation:
I hope this helps. I'm not sure if its correct
Answer:
i would go with C my guy
Step-by-step explanation:
Write an expression that is the product of TWO factors and is EQUIVALENT to
-2x - 10.
Answers
Answer:
-2(x+5) is equivalent to -2x-10
Help pls?
I need all of dem btw
Answers
plz help. Write an equivalent expression to show the relationship of multiplication and addition. (Use the x for multiplication, if necessary) d + d + d + d + d
