Answer:
A) Container X
Step-by-step explanation:
X=2C:6S ratio, now reduce amount but keep the same ratio
X=1C:3S
Y=4C:8S ratio, now reduce amount but keep the same ratio
Y=1C:2S
Container X has the sweeter water because it's ratio of sugar to water is higher.
Container Y is the water sweeter.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
Container X has 2 cups of water with 6 teaspoons of sugar.
And, Container Y has 4 cups of water with 8 teaspoons of sugar.
Now,
Since, Container X has 2 cups of water with 6 teaspoons of sugar.
Hence, The ratio of water with sugar for container X = 2 : 6
= 1 : 3
And, Container Y has 4 cups of water with 8 teaspoons of sugar.
Hence, The ratio of water with sugar for container Y = 4 : 8
= 1 : 2
Cleary, We get;
⇒ 1/3 < 1/2
So, Water in Container Y is more sweeter than X.
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Which equation has a vertex at (0, 5) and focus of (three-halves, 5)?
The equation has a vertex at (0, 5) and focus of (three-halves, 5) is,
- 6 x + y²- 10 y + 25 = 0
−6x+y² −10y+25=0
What is a parabola?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.
Given
The equation of a parabola is x = [tex]\frac{1}{4 \left(f - h\right)} \left(y - k\right)^{2} + h[/tex], where (h,k) is the vertex and (f,k) is the focus.
Thus, h = 0 k = 5, f = 3/2
The standard form is x = [tex]\frac{y^{2}}{6} - \frac{5 y}{3} + \frac{25}{6}x[/tex]
The general form is - 6 x + y² - 10 y + 25 = 0
The vertex form is x = [tex]\frac{\left(y - 5\right)^{2}}{6}[/tex]
The directrix is x = d
To find d, use the fact that the distance from the focus to the vertex is the same as the distance from the vertex to the directrix: [tex]0 - \frac{3}{2} = d - 0[/tex]
Thus, the directrix is x = - 3/2
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = 5
The focal length is the distance between the focus and the vertex: 3/2
The length of the latus rectum is four times the distance between the vertex and the focus: 6.
The eccentricity of a parabola is always 1.
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True or False: If a quadratic equation cannot be factored, then it doesn't have any solutions.
The given statement is false because a quadratic equation may have no solutions, one solution, or two solutions, regardless of whether it can be factored or not.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
A quadratic equation is a type of polynomial equation that can be written in the form ax² + bx + c = 0, where a, b, and c are constants and x is a variable.
If a quadratic equation cannot be factored, it does not mean that it does not have any solutions.
A quadratic equation may have no solutions if the discriminant, which is the quantity b² - 4ac, is less than zero.
In this case, the quadratic equation has no real solutions, as the solutions would be complex numbers.
However, if the discriminant is equal to zero, the quadratic equation has one solution, which is the value of x that makes the equation equal to zero. If the discriminant is greater than zero, the quadratic equation has two solutions, which are the values of x that make the equation equal to zero.
In summary, a quadratic equation may have no solutions, one solution, or two solutions, regardless of whether it can be factored or not.
Thus, the given statement is false.
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I need this ASAP!!!!!!
Answer:
(x, y) = (1, -9)
Step-by-step explanation:
y = -9x
-8x-6y = 46
By substituting the value of y (first equation) into the second equation, we get,
-8x - 6*(-9x) = 46
-8x + 54x = 46
46x = 46
x = 1.
So, y = -9
Judy studied for 7/12 of an hour and her sister studied for 2/3 of an hour about how much time did they spend studying all together
Answer:I need that answer for my TEST!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
They studied for a little more than an hour.
Step-by-step explanation:
What is 1 whole and 1/3 - 5/6?
Answer:
The answer is 1/2.
Step-by-step explanation:
1 1/3-5/6=
1 1/3 needs to be turned into a improper fraction. 1 1/3=4/3.
Now we can do 4/3-5/6 but, the denominator has to be the same. We can make them 8/6-5/6.
*(Whatever happens to the denominator, has to happen to the numerator.)
8/6-5/6=3/6. Typically, the answer could be 3/6 but you could also simplify it to 1/2.
So, the answer would be 1/2.
Hopefully this helps you and sorry if it doesn't.
A line segment has the endpoints (-7, -4) and (9,8). What are the coordinates of the midpoint
of this line segment?
A. (2, 4)
B.
(-1,2)
C. (-1,-6)
D.
(-8, 2)
E.
(-2,-4)
F.
(1, 2)
Answer:
c
Step-by-step explanation:
i did this in my head
Answer:
F
Step-by-step explanation:
to find x coordinate for midpoint, add both the x coordinates then divide by two. we get x=1
to find y coordinate for midpoint, add both the y coordinates then divide by two. we get y=2
so the coordinates of midpoint is (1,2), which is F
Classify triangle ABC by its sides. Then determine whether it is a right triangle.
A (3, 3), B(6, 9), C (6,-3)
I
Answer:
right triangle it is because if u make a graph and put the points u would get a right isosclses triangle
Step-by-step explanation:
The triangle ABC with verticies A(3, 3), B(6, 9) and C(6, -3) is an isosceles triangle.
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, A ΔABC with verticies A(3, 3), B(6, 9) and C(6, -3).
We know the distance formula [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
From this we find AB = √45 units, BC = 12 units and AC = √45 units.
Now, this is an isosceles triangle with two equal sides of √45 units.
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Harold took five different samples of thirty-five randomly selected students from the 520 students he surveyed. The
means of the samples are shown below.
Sample
Sample 1
Sample 2
Sample 3
Sample 4
Sample 5
Mean
3.4
3.2
4.1
4.6
3.1
The predicted mean of the population will fall between
3.1 and
15
Answer:
d!
Step-by-step explanation:
just took the test! gl
Write the equation of the line passing through the points (-4,-1) and (2,8)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let these points
[tex] \begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}[/tex]
[tex]m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2} [/tex]
Slope-Intercept[tex]y = mx + b \\ m = slope \\ b = y - intercept[/tex]
Substitute the value of m in the equation.
[tex]y = \frac{3}{2} x + b[/tex]
Substitute any coordinate points that are given or part of the graph in the equation.[tex](x_, y) = ( - 4, - 1)[/tex]
[tex] - 1 = \frac{3}{2} ( - 4) + b[/tex]
Solve the equation for b-term.[tex] - 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b[/tex]
Rewrite the equation by substituting the value of b in the equation.[tex]y = \frac{3}{2} x + 5[/tex]
Answer[tex] \large \boxed{y = \frac{3}{2} x + 5}[/tex]
If you have any questions related to the answer, feel free to ask via comment.
What is the number of cycles of y=1+10sin(θ−2π/3) between 0 and 2π?
Answer:
D. 2/3
Step-by-step explanation:
I NEED HELP! PLZ! 20 POINTS. :)
Answer: i have no clue?
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
100 = 2x + 4y > 100 = 2x+40 > 60 = 2x> x = 30
List the ordered pairs and determine whether or not this is a function
Ordered pairs : ?
Is this a function : ?
If 7 + 3x = 22, then 2x = ?
O 5
O 10
O 12
0 14
og
3
Answer:
10
Step-by-step explanation:
Answer:
2x=10
Step-by-step explanation:
Tamu ran 30 minutes and burned 170 calories. PART B: How many calories did Tamu burn per minute? Write your answer as a decimal. *
Answer:
Tamu burnt 5.66 calories per minute.
Step-by-step explanation:
Tamu ran for 30 minutes.
Calories burnt by Tamu = 170 calories
Unit rate = [tex]\frac{Calories\ burnt}{Time}[/tex]
Unit rate = [tex]\frac{170}{30}[/tex]
Unit rate = 5.66 calories per minute
Therefore,
Tamu burnt 5.66 calories per minute.
Which operation would help solve for y?
3+y=27
Answer:
24
Step-by-step explanation:
Alton planted a 4 1/6 foot poplar tree in his front yard last year. This year the tree is 8 3/4 feet tall. How manu getting has it grown this year
4 1/6 + 8 3/4 = 12.9166666667
I don't know math honestly
Assume that no variable equals 0
1. c^12•c^-4•c^6
2. b^8/b^2
3. (a^4)^5
4. x^-2y/x^4y^-1
5. (a^2b/a^-3b^2)^-1
6. (x^2y/xy^3)^2
7. 1/2(-5a^2b^3)^2(abc)^2
8. m^7•m^8
9. 8m^3n^2/4mn^3
10. 2^3c^4t^2/2^2c^4t^2
help me please !
Step-by-step explanation:
When you multiply exponents of the same base (variable), add the exponents.
1. The exponents are 12 - 4 + 6 = 14 or c^14
When you divide exponents of the same base, subtract them.
2. 8 - 2 = 6 or c^6
When you raise a power to a power, you multiply the exponents.
3. 4 * 5 = 20 or c^20
When a number is raised to a negative exponent it can be re written like this x^-n = 1/x^n.
4. x^-2 * y / x^4 * y^-1; using the above information, rewrite everything to have positive exponents. If the negative exponent is in the denominator, then it becomes x^n/1
y * y / x^2 * x^4 ; then just add your exponents to simplify
y^2 / x^6
As we said before, a power raised to a power is exponent x exponent.
5. (a^2 * b) ^-1 / (a^-3 * b^2)^-1 ; as before a power raised to a power, multiply the powers.
a^-2 * b-1 / a^3 * b^-2 rewrite this as before, inverting negative exponents. a^3 / a^2 * b^1 * b^2 = a^3 / a^2 * b^3
Simolifynthe new expression to reduce the a variable by subtracting the bottom a^2 from the top a^3 and are left with
a / b^3
Work number 6 like 5, no negative exponents, so there won't be any inversions. Just multiply the outside power times every exponent, then do the division by subtracting exponents of like bases.
When figuring out the problems with constants, treat them like the variables. In number 7 the 5a^2 when raised to the 2nd power would be 5^2*(a^2)^2 = 25 a^4
Im sorry, out of time.
5x - 70 = 10
X =
I’ll give brainliest for first answer
Answer:
x = 16
Step-by-step explanation:
[tex]5x - 70 = 10 \\ 5x = 10 + 70 \\ 5x = 80 \\ x = \frac{80}{5} \\ x = 16[/tex]
27 is what percent of 18.75 it is asking for a percent answer I’ve tried 44%, 144, 506.25
Answer:
144%
Step-by-step explanation:
Answer:
144%??
Step-by-step explanation:
thats the answer man
What is the percentage of lemons in this group of lemons and strawberries?
Answer:
50%
Step-by-step explanation:
John and Robin like to collect stones. John has n stones, and Robin has 68 stones. Together they have a total of 98 stones, Write an equation to describe this situation.
Answer:
n+68=98 find n (n=30)
Step-by-step explanation:
Quick whoever gives the right answer gets brainliest
Answer:
The independent variable (IV) is the amount of hamburgers
Step-by-step explanation:
The amount of hamburgers influence the sale amount.
What is the radius of this circle?
Answer: the answer is 7cm
Step-by-step explanation:if the diameter is 14, just do 14/2=7
Find the missing side using special right triangles
Answer:
a=4[tex]\sqrt{3}[/tex], b=2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tan30=b/6, tan30=1/[tex]\sqrt{3}[/tex]
solve for b, b=6*tan30=2[tex]\sqrt{3}[/tex]
sin30=b/a, sin30=1/2
solve for a, a=4[tex]\sqrt{3}[/tex]
What is the image of the point (8,-6)(8,−6) after a rotation of 180 counterclockwise about the origin?
Answer:
(-8, 6)(-8, 6)
Step-by-step explanation:
The formula for 180 degree rotation is (-x, -y)
Evaluate the expression when b=-6 and y=4.
b-6y
The solution to the system of equations is (-7, 11). true or false
The deck of a ship is 7 feet above the surface of the water. There is
also a cabin that is 14 feet below the deck. Which number describes
the elevation of the cabin?
Note: Your answer is expected to be a number without units for this
problem
What is the solution to the inequality -7(1+5m)-29<300+7m
Answer:
234556678
Step-by-step explanation:
Trina is creating a small concrete sidewalk to from her driveway to her front door as seen below. Trina needs to figure out how much to budget for the
How much should Trina budget for concrete?
Use algebraic expressions to describe your steps to find the answer.
Answer
87
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