The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y.
When y=72 and x=3.
K = ?
y = ?
Answer:
k = 24, y = 24x
Step-by-step explanation:
Given x and y are proportional then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when y = 72, x = 3 , then
72 = 3k ( divide both sides by 3 )
k = 24
y = 24x ← equation of proportion
One number is 7 times another number. The product of the two numbers is 252. Find the two numbers.
Step-by-step explanation:
x =7y ----(1)
xy=252 ----(2)
(1) into (2):
(7y)(y) = 252
[tex]7 {y}^{2} = 252 \\ 7y = \sqrt{252} [/tex]
7y=15.874....
y=2.27
y value into (1)
x= 7(2.268)
x=15.87
the two numbers are 15.87 and 2.27 (Ans)
y - 7.74 = 9.1
solve for y
Answer:
y = 16.84
Step-by-step explanation:
y - 7.74 = 9.1
=> y = 9.1 + 7.74
=> y = 16.84
25+c+b
Answer Choices:
A)41
B)32
C)40
D)37
Answer:
C
Step-by-step explanation:
Meg and Rosa played a game. The game lasted 35 minutes and ended at 10:20 a.m.
What time did the girls begin playing the game?
Answer:
9:45 am
Step-by-step explanation:
Hope this helps!
Answer:
10:15
Step-by-step explanation:
what is 163,653÷200 ?
Answer:
818.265
Step-by-step explanation:
Find the volume of each prism. Show your work for full credit!
Answer:
1080
Step-by-step explanation:
1/2*base area*h
Mrs. Kim bought
4
4 boxes of stickers at the store to share with her students. Each box contained
64
64 stickers.
Answer:
She has 256 stickers.
Step-by-step explanation:
4 times 64 equals 256
Name two points on the line y = 6x. Does it describe a
proportional relationship?
Answer:
b. Non-proportional
Step-by-step explanation:
A table of values that represents a proportional relationship will have the same ratio of every pair in the given table. That is, y/x will result in the same value all through for every given pair.
The table of values given does not show a proportional relationship, because the ratio of y to x of each given pair of values are different and unequal:
y/x = 3/1 ≠ 5/2 ≠ 7/3 ≠ 9/4
Therefore, it is non-proportional.
hope i help
What is the probability of rolling a 3 on a six-sided cube AND rolling a 6 on a six-sided cube?
ob
Answer:
The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30
Step-by-step explanation:
These are independent events.
The probability of rolling a 5 is 1/6.
The probability of spinning a 5 is 1/5.
The probability of rolling a 5 or spinning a 5 is 1/5+1/6=11/30 but you have to subtract 1/30 because you can roll a 5 and spin a 5 at the same time. Therefore 11/30-1/30=10/30=1/3.
There are 30 outcomes. Roll first then spin to get the following outcomes:
11,12,13,14,15,21,22,23,24,25,31,32,33,34,35,41,42,43,44,45,51,52,53,54,55,61,62,63,64,65
You want to roll a 5 OR spin a 5. How many combinations have a 5 ? 10 combinations have a 5.
(you don't count 55 twice) There are 10 combinations with a 5 out of a possible 30 combinations.
Another way of looking at the problem is the following:What is the probability of NOT rolling a 5 AND NOT spinning a 5 ?
The probability of not rolling a 5 AND not spinning a 5 is (5/6)*(4/5)=20/30. Therefore the probability of rolling a 5 or spinning a 5 is 1-20/30=10/30.
Answer:
16.7%
Step-by-step explanation:
There are 6 sides and one three on the cube so rolling a three would be 1/6. To roll a 6 on a 6 sized dice would be the same there’s 6 sides and one 6 so it would be 1/6
At a competition 24 of the 40 members of a middle school band won a middle. What percentage of the of the band won a middle?
Answer:
60%
Step-by-step explanation: 24/40 equals .6. Multiply .6 by 100 to get your percentage, which equals 60%. hope this helps
Use the distributive property to remove the parentheses.
-5(-w-3v+6)
Answer:
5w+15v-30
Step-by-step explanation:
Find the percent of increase from 12.5 inches to 18.5 inches. Round the percent to the nearest tenth if necessary.
Answer:
148%
Step-by-step explanation:
12.5x = 18.5
You borrow $1600 to buy a living room set. The simple interest rate is 9%. You pay off the loan after 3 years. How much do you pay for the loan?
In a math statement 4^9 the 9 is called the
Answer:
exponent
Step-by-step explanation:
cuz that s what it is called
Answer:
expo
Step-by-step explanation:
give them brain, they're correct.
Help me with question 1
Answer:
The most logical answer would be C.
Step-by-step explanation:
PLZ HELP
Maya exercises at least 50 minutes per day.
Use t to represent Maya's amount of exercise (in minutes per day).
Answer:
425261625
Step-by-step explanation:
1+2-4252+425251-34%+5%
What's -2/9 * 5/6? I'm a bit stuck.
Answer:
-2/9*5/6
As it is multiplication we can directly multiply them.
Thus we will get,
(-2*5)/(9*6)
-10/54
And now by converting into the simplest form we will get,
-5/27
And this is the final answer.
Please help!!!!
a sweet snack and a salty snack. Here is a two-way table showing the number of adults
and children who made each choice of snack. Answer each question below using the
table.
sweet snack salty snack total
adult 57
88
145
child 77
31
108
total 134
119
253
134
1. How many total people chose sweet snacks?
people
145
adults
2. How many adults chose salty snacks?
3. What percentage of the people who attended the social were children?
Round your answer to the nearest tenth. Do NOT grid in the percent symbol.
Answer:
76
Step-by-step explanation:
khan x math
Which expression is equivalent to 5x +10y-15?
A. 5(x-2y-3
B. 5(x5y-10
C. 5(x+2y-3
D. 5(x2y-15
Answer:
C
Step-by-step explanation:
Answer:
its a hehehehehehhehehe\
Step-by-step explanation:
se acabaron los bidones de 10 y se quieren envasar 1362 litros de agua ¿cual es la menor cantidad de envases que se pueden llenar?
Answer:
serían 136 y sobran 2
Step-by-step explanation:
porque al ser una botella de 10 litro y 1362 los dividimos nos da la cantidad de 136 se puede hacer mentalmente
Given that f(x)=2x−5 and g(x)=5x, evaluate g(f(2))
point slope and slope intercept
Answer:
Step-by-step explanation:
Observe what happens to y if we move from x = 1 to x = 9: y decreases by 2. Thus, the slope of the line in question is m = rise / run = -2/8, or -1/4.
Writing the equation in point-slope form, y - k = m(x - h), we get:
y - 7 = (-1/4)(x - 1) (point-slope form)
Solving for y results in the slope-intercept form:
y = 7 - x/4 + 1, or
y = (-1/4)x + 8 (slope-intercept form)
Are these two lines parallel? Why or why not?
y=5x+6 and y=6x+5
Answer:
No
Step-by-step explanation:
The slopes of the equations are unequal, meaning the lines are not parallel and will eventually intercept
sharon said she spent 5/7 of her clothing allowance on a winter. if she was givan a $70 clothing allowance, how much was the coat
Answer:
$50
Step-by-step explanation:
1. First you need to divide 70 by 7.
2. Your answer should be 10.
3. You then need to multiply the product, 10 by 5.
4. You answer should be 50 and because we are using this in a money situation the answer is $50.
Answer:
50
Step-by-step explanation:
Destiny said that 0.6 divided by 2 equals 0.3 is she correct
Answer:
Yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes
Bridget is a sales person. She sold a microwave for $70 and earned 5%commission. How much commission did Bridget earn?
Find the slope: (-2,5) and (2,1
Create and solve a multiplication problem to show that the product of a whole number and a fraction will be equal to the whole number.
Find the distance between C(-5,4) and Q(2,0)
9514 1404 393
Answer:
√65 ≈ 8.06
Step-by-step explanation:
The distance formula is used for the purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2 -(-5))² +(0 -4)²) = √(7² +(-4)²) = √(49 +16)
d = √65 ≈ 8.0622577
The distance between C and Q is √65, about 8.06 units.