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Related Questions
Maria made two batches of fruit punch. The table at the right shows how many quarts of juice she used for each batch. Write an equation that relates the proportional quantities. Convince Me! How does the equation change if the amount of grape juice is the independent variable, x, and the amount of apple juice is the dependent variable, y? A table with Apple Juice (x), Grape Juice (y) and Grape Juice/Apple Juice (y/x). The first row has x as 5 and y as 8. The second row has x as 10 and y as 16. In each row, the ratio of Grape Juice to Apple Juice is a blank to be filled. The constant of proportionality is . An equation that represents this proportional relationship is =
Answers
Answer/Step-by-step explanation:
The equation that relates the proportional quantities would take the following form ---› [tex] y = kx [/tex], where,
y = amount of Grape juice (dependent variable)
x = amount of Apple juice (independent variable)
k = constant of proportionality (y/x)
✔️Using any of the given pair, say, (5, 8),
Constant of proportionality = [tex] k = \frac{y}{x} = \frac{8}{5} = 1.6 [/tex]
Substitute k = 1.6 in [tex] y = kx [/tex].
An equation that represents the proportional relationship would be:
[tex] y = 1.6x [/tex]
Or
[tex] y = \frac{8}{5}x [/tex]
How the equation would change if:
y = amount of Apple juice (dependent variable)
x = amount of Grape juice (independent variable)
The constant of proportionality would change, that is using a pair, say, (8, 5),
[tex] k = \frac{y}{x} = \frac{5}{8} = 0.625 [/tex]
Substitute k = 0.625 in [tex] y = kx [/tex].
The equation would now be:
[tex] y = 0.625x [/tex].
Or
[tex] y = \frac{5}{8}x [/tex]
plz help asap i need help fast asap i will mark you brainlist
Answers
Answer:
What do you need help with?
If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4
Find an equation connecting ‘c’ and ‘d’
Find ‘c’ when d = 8
Find ‘d’ when c = 54
Answers
Answer:
When d = 8
c = 48
when c = 54
d = 9
Step-by-step explanation:
We have the equation c is proportional to d
[tex]c \: \: \: \alpha \: \: d[/tex]
ie
[tex]\frac{c}{d} = \: a \: constant[/tex]
here given that c = 24 and d = 4 so,
[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]
so we have to find values for c and d which gives
c/d = 6
so when d = 8
[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]
Answer:
c = 6dc = 48 when d=8d = 9 when c=54Step-by-step explanation:
We know:
‘c’ is directly proportional to‘d’
and
c = 24 when d = 4
W can write this in mathematical form as:
c∝d
Removing the proportionality symbol, k is the constant of proportionality
c = kd
To find the value of k, putting the known values of c and d
[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]
So the equation becomes
[tex]c = 6d[/tex]
To find the value of c when d = 8
[tex]c = 6*8\\c = 48[/tex]
To find the value of d when c=54
[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]
Hence,
c = 6dc = 48 when d=8d = 9 when c=54simplify and express in a + bi form: (12 + 3i) - (3 - 1)
Answers
Answer:
10+3i
Step-by-step explanation:
Subtract 3 and 1 which is 2, Now the equation looks like this:
(12+3i)-(2)
Multiply the negative with 2:
12+3i-2
Subtract 12 and 2:
10+3i
Answer: 10+3i
Hope this helps!
The sales tax rate in New Mexico is 5.125%. What will you pay for a $14.50 area rug in New Mexico after tax?
Answers
Answer:
15.243125
Step-by-step explanation:
we need to calculate how much would be the tax for 14.5$
so 14.5 * 5.125% = 0.743125
and then we will add that to 14.50
i dont feel like doing this i have to
Gina will pay $14 for the
fabric at a craft store. The tax rate is 8.5%. How much will she pay for her fabric including tax?
Answers
Answer:
$15.19
Hope this helped!
Step-by-step explanation:
Write an equation
8.5% of 14 =
Convert percent into decimal:
8.5% = 0.085
"Of" means to multiply so multiply 0.085 to 14
0.085 x 14 = $1.19
14 + 1.19 = 15.19
plzzz help me with this
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1) the side AC is common (as you can see, both triangles share the side AC)
2) angle DCA is equal to angle BAC (this is due to alternate angles)
3) angle BCA is equal to angle DA (again, this is due to alternate angles)
Simplify (3x – 5) + (5x + 1).
Answers
Answer:
(-2x - 6)
Step-by-step explanation:
The given expression is ( 3x - 5 ) - ( 5x + 1 )
We have to simplify the given expression
First we will open the bracket having negative notation outside.
( 3x - 5 ) - 5x - 1
3x - 5 - 5x - 1
Now we will collect the similar terms together.
3x - 5x - 5 -1
-2x - 6
So the simplified form of the expression is (-2x - 6)
Answer:
8x - 4
Step-by-step explanation:
queifnsldnalbdejsjsbsjas
I need some help with MORE math if you could answer that would be great.
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Answer:
bbbbbb
Step-by-step explanation:
:)
Answer:
D. [tex]\frac{81}{m^{7}}[/tex]
Step-by-step explanation:
[tex](3m^{-4})^{3}(3m^{5})[/tex]
[tex]\frac{81m^{5}}{m^{12}}[/tex]
[tex]\frac{81}{m^{7}}[/tex]
Are these good notes on math?
Quarter 2 Lesson 4: Scientific Notation
All Vocabulary words learned in 2020
A base is the number being used as a factor in an exponential expression.
An exponent is the number that shows how many times a base is used as a factor.
An equation is a statement that tells you two expressions are equivalent.
A cube root is any number that is multiplied together three times to get the original number.
A perfect cube is the product of an integer multiplied together three times.
A repeating decimal is a decimal that never ends but instead repeats the same digit or group of digits over and over.
A terminating decimal is a decimal that ends, or terminates.
An irrational number is a number that cannot be expressed as the quotient of two integers. The decimal never terminates or repeats.
A rational number is a number that can be expressed as the quotient of two integers.
A power of ten is a number that can be written as a product of tens.
Scientific Notation is a way to express a number as the product of a number greater than or equal to 1 but less than 10 and a power of ten.
A function is a relationship between an independent variable,x, and a dependent variable,y, where each value of x (imput) has one and only one value of y (output)
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Answer:
yes
Step-by-step explanation:
it sounds good to me
random...............
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14 is only divisible by 1,2,7 and itself.
49 is only divisible by 1,7 and itself
Helpppppppppppppphxhxhxhxhx
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Answer:
C [tex]\frac{48}{70}[/tex]
Step-by-step explanation:
Option C - [tex]\frac{48}{70}[/tex] is incorrect because when multiplying the numerator and denominator of the fraction [tex]\frac{7}{10}[/tex] by 7, you’re suppose to get [tex]\frac{49}{70}[/tex].
find the least number that must be added to 1400 so as to get a perfect squre. full explanation
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Answer:
so what is the next perfect square after 1400? That's what they are asking.. so I used my calculator to find it..
Step-by-step explanation:
the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is 1444 so now we know.. to add 44 to 1400 .... that's your answer 44
PLEASEE HELPP ASAPP!!
Solve: -35/-7
A: 7
B: -7
C: 42
D: -42
Answers
Answer:
D.
Step-by-step explanation:
You see, this is simple division. Let's divide it.
-35/-7 = -42
_____________________
Don't let the other options confuse you. negative dividing is just the same as regular, just negative ^^
Solve for X
17
47
34
13
Answers
Answer:
So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°
Step-by-step explanation:
Sorry if that’s confusing
Answer:
x = 17
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
94° is an exterior angle of the triangle, thus
2x + 60 = 94 ( subtract 60 from both sides )
2x = 34 ( divide both sides by 2 )
x = 17
Helpppppp please......................................
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I hope this helps, have a good day
Step-by-step explanation:
4. - 5a>1-3
5a<2
a<2/5
5. - 2b<-6-27
2b>33
b>33/2
6. 1/2(c+1)>5
c+1>10
c>9
7. A. The club earns 10*p $
B. Difference 10*p - 75
C.
[tex]p \geqslant \frac{(75 + 50)}{10} [/tex]
[tex]p \geqslant \frac{125}{10} [/tex]
Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?
a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake
Answers
Answer:
1/9 Is the answer
Step-by-step explanation:
Answer: C is the anwer ヾ(≧▽≦*)o
Need help ASAP!!
Find the unknown side of the triangle below.
A.) 24.5 in
B.) 13 in
C.) 20 in
D.) 25 in
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Answer: B.
Explanation: That side is shorter than the other known sizes so it can’t be above 20
Answeruse pitaghora theorema
a2+b2=c2
21^2+x^2=29^2
441+x^2=841
x^2=400x=√400=20
any questions?why 3 stars tho
please help timed
Match the reasons with the statements.
GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms
2. x2 + 8x + 12 = 0 Distributive Postulate
3. (x + 6)(x + 2) = 0 Zero product postulate
4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality
5. x = -6 or x = -2 Given
Answers
Answer:
Step-by-step explanation:
Start by combining like terms like 2x, 2x, and 6x to get 10x + 12= 0. thats a start
Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2
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Step-by-step explanation:
2x +1= 0.5x - 2
X = - 2
y = 0.5x (- 2) - 2
y = - 3
( x, y ) = ( -2 , -3 )
hope it helps!
2.5 years = (how many weeks)
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Answer:
130.357 weeks
Step-by-step explanation:
ahhahanvm? shushaha bruh what do i do
Answers
\u gotta ask ur question
Step-by-step explanation:
Solve the equation
9x^2 - 64= 0
9x^2 + 64= 0
Answers
Answer:
x1= - 8/3 , x2= 8/3
Step-by-step explanation:
Can somebody plz answer this math problem correctly thanks!
WILL MARK BRAINLIEST :D
Answers
Answer:
Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake
Stephen scored a .84 or an 84%
I hope this helps :)
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
Stephen: 21
Ellen: 20
Blake: 20
Step-by-step explanation:
If youre looking for more in depth answers:
Stephen received a 21 / 25 (84%)
Ellen received a 20 / 25 (80%)
Black received a 20 / 25 (80%)
If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21
Answers
2(-5) -4 = -14
-10 -4 = -14
-14 = -14
Mario’s pizzeria makes an average of 23 pizzas per hour during this week. What is the probability that Mario will make 21 pizzas during an hour this week?
0.079
0.076
0.0000000027
0.073
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A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150
Answers
Answer:
A
Step-by-step explanation:
y = -3x + 150
I hope this is right.
i will mark you as brianilest The school band sold T-shirts to raise money for an upcoming trip. The band sold 400 T-shirts on Saturday and on Sunday, it will sell 30 percent of that amount. Which statements are true about the number of T-shirts that the band will sell on Sunday? check that all apply A. the answer will be less than 400 because 30 is less than 100 B. The answer will be greater than 400 because 300 percent is greater than 100 C. (100)(4)=400 so 30 (4) is the number of T-shirts the band will sell on Sunday. D. The band will sell 430 T-shirts on Sunday or E. The band will sell 120 T-shirts on Sunday.
Answers
Answer:
A and E
Step-by-step explanation:
A is correct because if you have less than 100 percent of something then the value will be less than the original value.
E is correct because 30 percent of 400 is 120 so the band will sell 120 t-shirts on Sunday.
Enter the solution to the equation in the box.
2(x−3)=8(x−6)
Answers
Answer:
x=7
Step-by-step explanation:
2(x−3)=8(x−6)
2x-6=8x-48
2x-8x=-48+6
-6x=-42
x=7
Ricardo borrows $1850 for 8 months at 12% interest.
What is the amount he will pay back at the end of the
loan period?
How do you know?
Answers
Answer:
Ricardo will have to pay $1776 at the end of the loan period.
I know this because if you multiply 12% to 1850 you get 222.
Now you multiply 222 to 8 which gives you an answer of 1776.
Hope this helps. :)