Katie needs 9.5 quartz of the 12% sugar solution to make the 10% sugar solution.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons
The data of the sugar solutions are;
The volume of 5% sugar solution Kate has = 3 quarts
The volume of the 12% sugar solution = X
Let 'Y' represent the volume of the 8% sugar solution, we have;
The volume of the resultant solution, Z = X + Y + 3
The concentration of the resultant solution = 10%
0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)
Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, we have;
X = (2 × 2 + 15)/2 = 9.5 Quartz
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A rectangular prism is 20 yards long and 9.4 yards wide. Its volume is 3,384.0 cubic yards. What is the height of the rectangular prism?
One mile is approximately 1.6 kilometers. A speed limit sign in Europe reading 65 kph
(kilometers per hour) means you can go about how many miles per hour (mph)*
Of the choices below, which unit of measurement would be most appropriate for measuring the volume of an ice chest? A. liters B. meters C. kilograms D. milliliters
Answer:
D. milimeters.
Step-by-step explanation:
Both meter and milimeter are length units. Kilogram is a mass unit. Liter is a volume unit, which is the cube of length in dimension terms. A liter equals 0.001 cubic meters or 1000000 cubic milimeters. Hence, the correct answer is D.
will mark brainliest pls help
Answer the question please and no links. Please explain too.
Answer:
(20,5)
Step-by-step explanation:
The line is proportional making the answer equivalent.
Answer:
(20,5)
Step-by-step explanation:
20,5=4,1
Please help! Math question
Answer:
think its b
Step-by-step explanation:
Which statements describe characteristics of a Platonic solid? Check all that apply.
0A Platonic solid is also a convex polyhedron.
0All the faces are congruent.
0The faces are not regular polygons.
0The number of edges meeting at each vertex is the same for all vertices.
0A Platonic solid always has an even number of faces.
0A Platonic solid is a regular polyhedron.
Answer:
everyone but c
so A B D E F
Step-by-step explanation:
In the dot plot above, the length of the coastline of each country in South America is shown in
thousands of kilometers (1000-km), rounded to the nearest thousand kilometers. According to
the dot plot, what is the mean length of coastline, in thousands of kilometers?
Answer:2
Step-by-step explanation:it’s the average
Answer:
2
Step-by-step explanation:
Given:
The length of coastline of each country in south America in thousands of kilometers.
To find:
The mean length of coastline, in thousands of kilometers
Explanation:
America is shown in thousands of kilometers so, using the given information
= 6(0) + 2(1) + 2(2) + 5(1) + 6(1) + 7(1)
= 30
= 30/15
= 2
Answer is 2 thousand kilometers
I’ll give brainliest!!!!! Pls help ASAP
Answer:
[tex]\sqrt[4]{x^{7} }[/tex]
Step-by-step explanation:
this is the same concept basically as simplifying [tex]\sqrt{x}[/tex] into [tex]x^{\frac{1}{2} }[/tex]. You can see that the denominator is in front of the radical and that any numbers in the numerator are the power of the number underneath.
7a +42 +8 < -10 + 9a -6 + 4a
Answer:
a > 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
7a + 42 + 8 < -10 + 9a - 6 + 4a
Step 2: Solve for a
Combine like terms (a): 7a + 42 + 8 < -10 + 13a - 6Combine like terms: 7a + 50 < 13a - 16[Subtraction Property of Equality] Subtract 7a on both sides: 50 < 6a - 16[Addition Property of Equality] Add 16 on both sides: 66 < 6a[Division Property of Equality] Divide 6 on both sides: 11 < aRewrite: a > 11Here we see that any value a greater than 11 would work as a solution to the inequality.
Bigcity United played thirty games last season. They won 60% of these. How many games did they lose?
Answer:
Bigcity United lost 12 games.
Step-by-step explanation:
Since you know the percentage of games Bigcity United won, first you need to determine the percentage of games that they lose by subtracting the percentage of games they won from 100%:
100%-60%=40%
Now, you know that they lost 40% of the games and you can calculate 40% of the number of games they played last season:
30*40%=12
According to this, the answer is that Bigcity United lost 12 games.
You can see how many standard deviations a score is from the mean of the distribution for a raw score or a z-score is by looking at the corresponding z-score.
Answer:
True
Step-by-step explanation:
Z-score may be defined as a position of the raw score in regard to the distance from its mean when it is measured in the units of standard deviation. Z-score is considered as positive, when the values is above the mean. And when it is below the mean, it is considered as negative.
Another name of a z-score is standard score. Z-score can be measured using the relation :
[tex]$z=\frac{x-\mu}{\sigma}$[/tex]
where, z = z-score
x = raw score
μ = population mean
σ = population standard deviation
Thus from the formula we can see how many standard deviation the score is from a men of the distribution by looking at the corresponding z-score.
A pet store has 96 pets ( dogs, cats, birds) for sale. There are 3 more dog than cats. There are 9 less birds than cats. How many of each type of pet are in the shop?
Answer:
Cats = 34
Dogs = 37
birds = 25
Step-by-step explanation:
Let :
c = cats
d = dogs
b = birds
from the question, the following equation can be gotten
d = 3 + c eqn 1
b = c - 9 eqn 2
c + d + b = 96 eqn 3
substitute for b and d in equation 3
3 + c + c - 9 + c = 96
3c - 6 = 96
3c = 102
c = 34
Substitute for d in eqn 1
d = 3 + 34 = 37
Substitute for b in eqn 2
34 - 9 = 25
Solve f(x) = 2x + 2 what would f(x)=20
a. 20
b. 10
c. 9
d. 8
Answer:
the answer is c. 9
Step-by-step explanation:
20=2x+2
18=2x
x=9
Answer:
C
Step-by-step explanation:
Given f(x) = 2x + 2 and f(x) = 20, then equate right sides, that is
2x + 2 = 20 ( subtract 2 from both sides )
2x = 18 ( divide both sides by 2 )
x = 9 → C
Write a short definition of "photosynthesis"
Answer:
Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.
Step-by-step explanation:
I hope this helps if it does can i get brainlist
photosynthesis is a process that occurs in plants. it is used to convert sunlight into sugar for the plant in order to create chemical energy. this energy is used to help the plant make glucose ! hope this helped ♡
Pls help me this is very important
Answer:
No because they have different slopes
Step-by-step explanation:
(1 , 2) and (2, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4-2)/(2-1)
m = 2
how to find the hypotenuse
Answer:
use Pythagoras theorem to find hypotenuse in right angle triangle
If 5% of a number equals eight find 50% of that number
Answer:
80
Step-by-step explanation:
160 x .05 = 8
(5% of 160 is 8)
160 x .5 = 80.
You know you should multiply, because when working with fractions, decimals, and percentages, the word "of" means multiplied by.
WHAT X !!!!! PLEASE HELP !!!
Suppose the consumer group used a sample size of 50 instead of 100 for each airline. When all other things remain the same, what effect would the decrease in sample size have on the interval?
Answer:
Width of confidence interval will increase.
Step-by-step explanation:
The sample size as an effect on the width of the confidence interval being calculated as it determines the value of the error margin. In general, increasing the sample size reduces the width of the confidence that interval while decrease in its value increases the error margin and hence the confidence interval.
Confidence interval :
Xbar ± Error margin
Error margin = Tcrit * s/ sqrt(n)
n = sample size
Being the denominator, a decrease in its value will result in an increase in error margin.
A line passes through the points (3, 2) and (6, 1). What is the slope of a line that is perpendicular to this line?
Answer:5/9 I think
Step-by-step explanation:
Exponential functions
Answer:
oh no i dunno how to do this
Step-by-step explanation:
Answer:
36, 6, (1/)36
1/6 ^ -2 = 6^2 = 36
1/6 ^ -1 = 6^1 = 6
1/6 ^2 = 1/36
A friend and I disagree about the answer to the simple math question posed by this post on social media, can you give me the correct answer. I think it's 35, she says 70.
Answer: what’s the equation?
Step-by-step explanation:
This is for today someone help me pls!!!!
Answer:
Part A: The third angle is 20°
Part B: The height of the building is 137.3738m (round to whatever is wanted)
What is the value of X
pls dont sent false links
Answer:
x = 43°
Step-by-step explanation:
The chord- chord angle AED is half the sum of the arcs intercepted by the angle and its vertical angle, that is
x = [tex]\frac{1}{2}[/tex] (54 + 32)° = [tex]\frac{1}{2}[/tex] × 86° = 43°
-6(-3x-3)=6(1+3x) solve
Answer:
x=-0.6
Step-by-step explanation:
-3x-3=-1
-3x=-1+3
-3x=2
x=-2/3
Can someone help me find the distance between each pair of points round the answers to the nearest tenth if necessary please help with 2,4 show me how you get it and the answer please
Answer:
I'm not really understanding this question can you give me some more info
Factor the expression step by step Someone help me pls
Answer:
1. Split up the linear term: [tex]2x^{2}[/tex]+2x-3x-3
2. Group terms that have common factors: ([tex]2x^{2}[/tex]+2x)+(-3x-3)
3. Factor out the greatest common factor: 2x (x+1) -3 (x+1)
4. Factor out the greatest common factor: (x+1)(2x-3)
Answer: (x+1)(2x-3)
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Please answer this quick
!!HELP ASAP!! No Links.
The domain (input values) of the cosine function is:
A. all negative and positive angle measures.
B. angle measures less than 2 π π radians.
C. angle measures less than 90°.
D. angle measures between 0 and π π radians.
* I can’t miss anymore please help*
Answer:
all negative and positive angle measures.
Step-by-step explanation:
The domain of the cosine function is: all negative and positive angle measures.
What is domain of a function?"It is a set of all possible input values for which a function is well defined."
We know,
A cosine function i.e., f(x) = cos(x) is defined for any real value of x.
This means, the domain of the cosine function is, all negative and positive angle measures.
Therefore, the correct answer is option (A).
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