Answer:
A.2.4 pounds
B.7 oranges
Step-by-step explanation:
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 =
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]
A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that is 5% seed to get a mixture that is 40% seed. Tom wants to add 114 grams of the 5% seed, and Sally wants to add 115 grams of the 5% seed mix. What will be the percent of seed if Tom adds 114 grams?
Answer:
Initially, we had:
100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)
This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8
Then the mass of seeds, x, can be calculated as:
x/100g = 0.8
x = 0.8*100g
x = 80g
We also have another mixture, that is 5% seed (or 0.05 in decimal form)
This means that in X grams of this mixture, there will be y grams of seeds, such that:
y/X = 0.05
y = 0.05*X grams
Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).
Let's do this.
If we add X grams of the 5% mixture, the total mass will be:
M = 100g + X.
The total mass of seeds will be:
m = 80g + X*0.05
and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4
m/M = 0.4
(80g + X*0.05)/(100g + X) = 0.4
Let's solve this for X.
(80g + X*0.05) = 0.4*(100g + X)
80g + X*0.05 = 40g + X*0.4
80g - 40g = X*0.4 - X*0.05
40g = X*0.35
40g/0.35 = X = 114.2g
If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)
If we add 114g, like Tom wants, we will have:
M = 100g + 114g = 214g
m = 80g + 0.05*114g = 85.7g
m/M = 85.7g/214g = 0.4005
This is a really good aproximation, if we write this in percentage form this would be:
0.4005*100% = 40.05%
how do I turn this into a radical?
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
Answer:
1/9 Is the answer
Step-by-step explanation:
Answer: C is the anwer ヾ(≧▽≦*)o
please help, i’ll give brainliest!
Answer: There is no correlation.
Step-by-step explanation:
Answer:
NO CORRELATTION
Step-by-step explanation:
The coordinates of point K are (−3, 4.5). Which statement tells how to locate point K on the coordinate plane?
Answer:
-3
Step-by-step explanation:
Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes
Answer:
34
Step-by-step explanation:
Subtract and divide
The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
With company x, it cost 35 cents to connect and then 5 cents for each minute.
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Now,
Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.
Hence, The cost for n minutes with company x is,
⇒ 35 + 5n
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Hence, The cost for n minutes with company y is,
⇒ 15 + 4n
Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)
= 35 + 5n - 15 - 4n
= (20 + n) cents
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
How many 1/6 cups servings are in 3/4 cups of popcorn? ( In simplest fraction form)
A) 3/2
B) 5/2
C) 7/2
D) 9/2
Answer:
D) 9/2
Step-by-step explanation:
PLS HELP ASAP
What is the value of X?
The answer is 8 but I need to show the work pls help
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up Equation
(7x - 1) + 80 + (6x - 3) = 180
Step 2: Solve for x
Combine like terms: 13x + 76 = 180Isolate x term: 13x = 104Isolate x: x = 8Answer: x = 8
Step-by-step explanation:
Hoped this helped
Enter the solution to the equation in the box.
2(x−3)=8(x−6)
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
Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)
please help! id give you master brainlist.
Answer:
w + j + s = total amount of beverages
Step-by-step explanation:
Please help I'm super stuck :(
Answer:
48.3
Step-by-step explanation:
bc =9)4
b=9
c=4 sooo 9x4=36 anddd 36+12.3=48.3. :P
Answer:
48.3 is the answer.
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
Essentially, you are just multiplying and adding.
When it says b = 9 and c = 4, that is representing the variables. Just think of the variables as x and y (which are normally used as variables).
So, in the equation, we see that b and c are together, meaning that they need to be multiplied. When we plug in the values for those variables, we see that the equation now says:
9 * 4 + 12.3 =
Now, we just multiply 9 by 4, and add 12.3.
36 + 12.3 =
48.3
This means that the equation bc + 12.3 is equal to 48.3.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
simplify and express in a + bi form: (12 + 3i) - (3 - 1)
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!
which system of inequalities is shown?
Answer:
d is the right answer.
y is greater than x
y is equal to 4
Step-by-step explanation:
Pls help me with this! Thank u !!
Mollie bought 12 packages of carrots for a total of $48. She realized she needed to purchase another 10 more packages. How much will she have spent IN ALL on the carrots?
Answer:
$88
Step-by-step explanation:
48/12= 4
for another 10 she pays another $40
Answer:
$88
Step-by-step explanation:
La suma de un número natural y su cuadrado es de 72. Encuentra el número del que se trata.
Answer:
8
Step-by-step explanation:
Sea el número x El cuadrado será x ^ 2
Entonces la suma será; x ^ 2 + x = 72 x ^ 2 + x-72 = 0
x ^ 2 + 9x-8x-72 = 0
x (x + 9) -8 (x + 9) = 0
(x + 9) (x-8) x = 8 o -9
Como solo estamos considerando números naturales, la respuesta correcta es 8
2.5 years = (how many weeks)
Answer:
130.357 weeks
Step-by-step explanation:
PLZ HELP!!!
Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40
A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)
HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point)
3 + 5p − 12 = 2p + 12
Answer:
p=7
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5p−12=2p+12
Step 1: Simplify both sides of the equation.
3+5p−12=2p+12
3+5p+−12=2p+12
(5p)+(3+−12)=2p+12(Combine Like Terms)
5p+−9=2p+12
5p−9=2p+12
Step 2: Subtract 2p from both sides.
5p−9−2p=2p+12−2p
3p−9=12
Step 3: Add 9 to both sides.
3p−9+9=12+9
3p=21
Step 4: Divide both sides by 3.
3p
3
=
21
3
p=7
Hope this helps have an amazing day!!
what is the value of (-0.7)(6.0)
Answer: Look below
Step-by-step explanation: its not letting me put the answer in its said its i
I need help ASAP!!!!
Answer:
3/10
Because there are 10 balls in all and there is one softball and two baseballs, so in total there are 3 balls that they want to try and pull. That's why it is 3/10.
Hope This Helps!
Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2
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!
Someone help me with this pleaseeeeee
Answer:8 an 40 an 2
Step-by-step explanation:
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?
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. :)
What is the length of BC?
Enter your answer in the box.
Answer:
Line BC = 17
Step-by-step explanation:
Since Angle B and Angel C are congruent, the opposite lines are also congruent. (line CA is congruent to line BA)
Therefore:
x+9 = 2x -8
17 = x
x = Line BC
Line BC = 17
Need help ASAP!!
Find the unknown side of the triangle below.
A.) 24.5 in
B.) 13 in
C.) 20 in
D.) 25 in
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
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
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?
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