y = kx
Replace y and x to solve for k:
72 = 3k
Divide both sides by 3:
k = 24
Now replace k with 24:
y = 24x
The proportionality constant [tex]k=\frac{1}{24}[/tex], and the equation that relates [tex]x[/tex] and [tex]y[/tex] is [tex]x=\frac{1}{24}y\text{ or } y=24x[/tex]
Since [tex]x[/tex] and [tex]y[/tex] are related by direct proportion,
[tex]x \text{ }{\displaystyle \propto}\text{ }y \implies x=ky[/tex]
where [tex]k[/tex] is our proportionality constant. To find the value of [tex]k[/tex], substitute the values [tex]x=3\text{ and } y=72[/tex] into the formula, and solve for [tex]k[/tex].
[tex]x=ky\\\implies 3=72k\\\implies k=\frac{1}{24}[/tex]
Thus the equation that relates [tex]x[/tex] and [tex]y[/tex] is
[tex]x=\frac{1}{24}y\text{ or } y=24x[/tex]
Learn more about direct proportion here: https://brainly.com/question/908424
Question down below! 15 points and brainliest if you answer the question!
Answer:
no
Step-by-step explanation:
3/4 is not eqal to 8/10
because in similar ratio of same sides are equal
Can someone please explain the Slope formula? Don't quite get it. I'm working on edge Physical science grade 8
Answer:
ok is that a question or not but if it is i may be help u
Answer:What About y = mx + b ? You may already be familiar with the "y=mx+b" form (called the slope-intercept form of the equation of a line). It is the same equation, in a different form! The "b" value (called the y-intercept) is where the line crosses the y-axis.
Step-by-step explanation:
rewrite the numbers in order from least
to greatest. -45/10, 3/1000, -0.005, 0.34
Answer:
-45/10 - -0.005 - 3/1000 - 0.34
Step-by-step explanation:
-45/10 - -0.005 - 3/1000 - 0.34
I need help ASAP!!!!!!!! PLEASE CORRECT ANSWER!
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as w. The angle adjacent to w is marked as z, and the other two angles inside the triangle are marked as x and y.
Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w
In which step did the student first make a mistake and how can it be corrected? (5 points)
Select one:
a. Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)
b. Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)
c. Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)
d. Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)
Answer:
Step 2 D
Step-by-step explanation: Hopes this helps
Answer:
D is wrong
Step-by-step explanation:
Took the test
Pre-Algebra FLVS :)
A can of grapefruit juice concentrate is 13 fluid oz. The recipe calls for a ratio of 2 cans of concentrate to 5 cans of cold water. How big of a pitcher do you need to make one batch of juice?
Answer:
You need a pitcher that can fit 91 fluid ounces.
Step-by-step explanation:
13 times 2 = 26
13 times 5 = 65
65 + 26 = 91
The Suarez family paid $15.75 for 3 movie tickets. How much would they have paid for 12 tickets?
Answer:
$63
Step-by-step explanation:
15.75 / 3 = 5.25
5.25 is what each ticket was worth
5.25 * 12 = 63
Answer:
$63
Step-by-step explanation:
15.75 divided by 3 = 5.25 then 12 * $5.25 = $63
Hope this helps! :>
help again. take ur time no rush. thank u to every one who answers my questions. u are appreciated i promise.
Answer:
52°
Step-by-step explanation:
If it is a right triangle, one interior angle is 90°, and we are also given the interior angle of 38°. The sum of any triangles interior angles will always be 180°.
90 + 38 = 128
180 - 128 = 52
The third angle is 52°
Answer:
52°
Step-by-step explanation:
they do too much with these hard questions
Answer:
it's either B or D but you would have to do the math
Step-by-step explanation:
A hot air balloon is at elevation of 650 feet. After it descends 120 feet, what is the elevation of the balloon?
Answer:
530
Step-by-step explanation:
Answer:
530
Step-by-step explanation:
650-120 decends means that its going down.
Mrs. Canale’s class is selling frozen pizzas to earn money for a field trip. For every pizza sold, the class makes $5.35. They have already earned $182.90 toward their $750 goal. How many more pizzas must they sell to earn $750? Solve this problem first by using an arithmetic approach, then by using an algebraic approach. Compare the calculations you made using each approach
Answer:
106 more pizzas
Step-by-step explanation:
750-182.90
=567.1
567.1 / 5.35
=106
:) hope that helps
Answer:
170
Step-by-step explanation:
r 2x-6+3=6x-5 please help
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]2x - 6 + 3 = 6x - 5[/tex]
[tex]2x - 3 = 6x - 5[/tex]
[tex]6x - 5 = 2x - 3[/tex]
Add sides 5
[tex]6x - 5 + 5 = 2x - 3 + 5[/tex]
[tex]6x = 2x + 2[/tex]
Subtract sides 2x
[tex] - 2x + 6x = - 2x + 2x + 2[/tex]
[tex]4x = 2[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{2}{4} \\ [/tex]
[tex]x = \frac{1}{2} \\ [/tex]
_________________________________
CHECK :
[tex]2( \frac{1}{2} ) - 3 = 6( \frac{1}{2} ) - 5 \\ [/tex]
[tex]1 - 3 = 3 - 5[/tex]
[tex] - 2 = - 2[/tex]
Thus the solution is correct....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
i need these asap ill give brainliest
helppppppppp meeeeeeeeeeeee
Answer:
I THINK THE CORDINATES ARE (4,1)
Step-by-step explanation:
I MIGHT BE WRONG AND IF SO I AM SORRY
plssssssssssssss help
What are the 7 & 9 for? Obviously, you had info from somewhere else for the 9 & 7 if they are THE ONLY NUMBERS here
Help me pls I’m begging
Answer:
1. -4,-3,-1,0,4,5,6
2.-15,-12,-5,-2,0,8,9
Step-by-step explanation:
what was the ratio of sixth graders to fifth grade students on the team?
Answer: the ratio is 7:8
Step-by-step explanation:
Answer:
7:8 Sry if wrong.
Step-by-step explanation:
help please and thank you!
Answer:
12 ounces.
Step-by-step explanation:
Dividing 48 by 4 gives you 12.
Answer all parts in the question below. Be sure to show all your work. Remember NO WORK, NO CREDIT EVEN IF THE ANSWER IS CORRECT!!!
13. A car travels 30 ⅕ miles in ⅔ of an hour. What is the average speed, in miles per hour, of the car?
I'm sorry I need the points lol anyways I hope you got the answer to it
Help me if you can it would be so helpful
Answer:135.80
Step-by-step explanation:
Find 40 percent of 97 then have an answer of 135.8 and add an zero because it’s money
Brainliest to the correct answer. Im stuck more on the question rather than the problem solving at hand if you know what i mean(if not just answer the question pls)
Answer:
0.17
Step-by-step explanation:
Sally's mother wants to buy a cell phone. The price of the cell phone she wants increased this week from $200 to $240. What is the percent increase in the price of the cell phone?
Answer:
20 percent
Step-by-step explanation:
200 divided by 5 is 40
1. How fast does Amy run?
2. Who runs the fastest
3. How fast does John run?
Answer:
Well. Amys rate is 3m/s. and John's is 3 m/s.
Step-by-step explanation:
No one runs faster than the other. It's equal. or I just read it completely wrong.
Divide: 3/4 divided by 2/5
2 and 1/5
3 and 3/4
2 and 3/5
1 and 7/8
Answer:
1 and 7/8
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5}[/tex]
When dividing you have to flip the second number. When the fraction/number flips the problem will turn into multiplication.
[tex]\frac{3}{4}[/tex] × [tex]\frac{5}{2}[/tex]
Now just multiply them. 3×5 and 4×2
[tex]\frac{15}{8}[/tex]
Simplify the fraction
[tex]1\frac{7}{8}[/tex]
I hope this helps!
Help MMEEEE PLKEASEEss.
Answer:
the answer is180.
Step-by-step explanation:
Estimate the percentage: 41 of 122
a. 0.3% c. 43.6%
b. 33.3% d. 3% Explain
Answer:
33.3%
Step-by-step explanation:
41/122 = approximately 0.333
Multiply this by 100 and you get your percent.
Answer:
b
Step-by-step explanation:
the answer is 33.61 but thats the closest
can anyone help me on this?
Answer:
First row is -2,0,-1,0,2,1. Second row is 15,5,-15,9,9,3. and they are in the correct order I put them in. The first number is the first equation.
Step-by-step explanation:
A number is made up of 2 tens and 5 tenths.
A second number is made up of 6 ones and 8 hundredths.
A third number is made up of 2 tens and 6 hundredths.
A fourth number is made up of 5 ones and 8 tenths.
What is the difference between the greatest number and the least number?
Answer:
A:25
B:860
C:620
D;85
E:
PLEASE MAKE SURE HELP ME!
Answer:
1. The first problem is wrong, it should be 0.5(3(15) + 2(20)) because the parentheses make sure that every purchased item is being divided by 2 (multiplying by 0.5 is the same as dividing by 2)
2. The second problem is partially correct. The first two answers you have checked are correct, but the last one is wrong. The third answer should be 6 + 12 instead because that's just a simplified version of 2(3) + 6(2), meaning they are equal
3. I cannot read your answers in the "Why or Why Not" column in the third problem, but the answers you gave in the "Evaluate" and "Does It Work?" columns are all correct.
A block of clay contains twenty 4 - ounce portions of clay. Ceramics teacher wants to use the block to make as many spheres of clay as possible. Each weighing ⅖ pound. How Many spheres can the class make
Answer:
12.5
Step-by-step explanation:
20 x 4 = 80
80 ÷ 16 = 5
5 ÷ 2/5 = 12.5
Using 24 ounce portions of clay, maximum they can make 3 spheres.
Given that, a block of clay contains 24 ounce portions of clay.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
We know that, 1 pound = 16 ounces
So, 1 ounce = 1/16 pound
Then 24 ounce = 24/16
= 1.5 pound
Here, each sphere of clay weighing 2/5 = 0.4 pounds
Number of spheres = 1.5/0.4
= 3.75
Maximum 3 spheres
Therefore, using 24 ounce portions of clay, maximum they can make 3 spheres.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ2
Find the expressions that have a quotient of 7 R12. choose all that apply
A. 362÷50
B.408÷60
C.492÷50
D.432÷60
E420÷60
F.502÷70
Answer:
Try D. I am not exactly sure but let's hope it works.
Step-by-step explanation:
Answer:
Its D.
Step-by-step explanation:
Almost 100% sure