Panchito should mix 30 ml of cranberry juice with 120 ml of orange juice to make 150 ml of a 22% cranberry-orange juice blend.
To determine the amounts of cranberry juice and orange juice that Panchito should mix, we can set up a system of equations based on the given information. Let's assume Panchito mixes x ml of cranberry juice and y ml of orange juice.
The total volume of the mixture is 150 ml: x + y = 150.
The percentage of cranberry juice in the mixture is 22%: (0.05x) / 150 = 0.22.
Simplifying the second equation, we get:
0.05x = 0.22 * 150
0.05x = 33
x = 33 / 0.05
x = 660 ml
Substituting this value back into the first equation, we can solve for y:
660 + y = 150
y = 150 - 660
y = -510 ml
Since the solution for y is negative, it is not feasible. This indicates that there is no way to create a 22% cranberry-orange juice blend using a 5% cranberry juice and a 90% orange juice.
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PLEASE HELP!! The Great Pyramid of Cheops has a square base whose sides each measure 230 meters. The altitudes of the triangular faces of the pyramid each make an angle of 51.8 degrees with the base.
What is the height of the pyramid? What is the shortest distance you would have to climb up a triangular face to reach the top?
Triangular (comparative more triangular, superlative most triangular) (comparative more triangular, superlative most triangular) a triangle-shaped form.
What is the height of the square pyramid?The entire area bounded by any triangle's three sides is referred to as the triangle's area. In essence, it is equivalent to 1/2 of base times height, or A = 1/2 b times h.
The Great Pyramid held the record for the world's highest building for more than 4,000 years, standing at 146.5 m (481 ft) tall. After losing 9.5 meters (31 feet) off the top, it is now 137 meters (449.5 feet) high.
S2(A2)2 is a formula that calculates the height of a square pyramid. In this example, a represents the length of the square base edge and s represents the square pyramid's slant height. Given by a2(h3) is the volume of the square pyramid.
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What is substitution table method?
Substitution table method is a method for solving systems of linear equations. It involves writing out the equations in a table with one variable per column, and then substituting one variable for the other until the equations are solved. This method can help students visualize the equations and make it easier to keep track of the values of each variable.
Solving Systems of Linear Equations Using the Substitution Table MethodThe substitution table method is a simple but effective way of solving systems of linear equations. It involves writing out the equations in a table with one variable per column. Then, one variable is substituted for the other until the equations are solved. This method is useful because it provides a visual way of keeping track of the values of each variable. It can also help students understand which variable values need to be substituted into which equations. Once the table is complete, the equations can be solved by using the values of the variables in the table. This method can be used to solve both two-variable and multi-variable systems of linear equations.
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There is a soccer tournament with 16 teams. Each team must play every other team. You want to know how many games will be played. Explain how you would create a simpler problem to help solve this problem.
it’s 12
Step-by-step explanation:
Answer:ontinuing this process shows that for 16 teams, there are 8 + 4 + 2 + 1, or 15 total games. Using brackets can be done for any number of teams.
Step-by-step explanation:
Any help would be greatly appreciated!
scale factor is 2/3
Step-by-step explanation:
because
What is the domain for this function?
The domain of this function is all real numbers from -54 to 60.
What is real number?Real numbers are any number that can be expressed on the number line. They include natural numbers, whole numbers, integers, rational numbers and irrational numbers. Real numbers can be expressed as decimals, fractions, or in scientific notation. Real numbers can also be positive, negative, or zero. They are used in mathematics to represent a wide variety of physical quantities, such as distances, velocities, and forces.
Real numbers are numbers that represent an exact quantity, such as whole numbers and fractions. To find real numbers, you can use the standard number line or the decimal point system. The number line is a graphical representation of all real numbers, and it starts with the positive numbers on the right and the negative numbers on the left. The decimal point system assigns place values to each digit in a number, and the real numbers are the numbers that have non-repeating digits.
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Solve for x. Round to the nearest tenth, if necessary.
Number of miles driven in a week.
Person. Miles
Vani 30
Ryan 18
Fatoumata 42
For every ___ miles Vani drove, Ryan drove __ miles.
The number of miles driven by Taub in a week is 3 times the number of miles driven by Valeria in a week.
How to express ratio in simplest form?The United States Department of Transportation Federal Highway Administration said that the average driver traveled 12,724 miles in 2020. That's down from 14,263 average annual miles in 2019. The 2020 average equates to 1,060 miles per month per driver, or about 35 miles per day.Although it's possible, you cannot drive 1000 miles in a day safely with a single driver. This would involve approximately 16 hours of driving before accounting for traffic and rest stops. Assuming a total travel time of 20 hours, you would need to depart in the early hours and share the driving.Often, 100,000 miles is considered a cut-off point for used cars because older vehicles often start requiring more expensive and frequent maintenance when mileage exceeds 100,000.The average American spends 18 days driving per year, with an average of eight hours and 22 minutes per week, a OnePoll study conducted on behalf of Cooper Tire found.Number of miles driven by each person in a week:
Valeria = 7
Taub = 21
Ruby = 35
Number of miles driven by Taub : Number of miles driven by Valeria
= 21 : 7
= 21/7
= 3/1
= 3 : 1
Therefore, the number of miles driven by Taub : number of miles driven by Valeria in a week is 3 : 1 in it's simplest form.
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If (z-1/z)=6 find the value of :
(z+1/z)
So the possible values of (z+1/z) are 6 and 0 for z=5 and z=-1 respectively.
Define Algebric expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
What is variables and constants ?A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.
We can start by multiplying both sides of the equation by (z+1/z) to get:
(z-1/z)(z+1/z) = 6(z+1/z)
This simplifies to:
z^2 - 1 = 6z + 6
We can then solve for z by isolating it on one side of the equation.
z^2 - 6z - 5 = 0
(z-5)(z+1) = 0
So the solutions to this equation are z = 5 and z = -1
Now we can substitute the value of z back into the original expression to find the value of (z+1/z)
For z = 5, (z+1/z) = (5+1/5) = 6
For z = -1, (z+1/z) = (-1+1/(-1)) = 0
So the possible values of (z+1/z) are 6 and 0.
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What is the height of a triangle if its base is 24 cm and its area is 216 cm2?
The height of a triangle is calculated to be 18 cm if its base is 24 cm and its area is 216 cm².
Given that,
Base = 24 cm
Area = 216 cm²
Height = ?
The formula to find out the area of the triangle is given by,
Area A = 1/2 × Base b × Height h
A = 1/2 × b × h
Making h as subject, we have,
h = (2 A)/b = (2× 216)/24 = 18 cm
Thus, the required height of a triangle is calculated to be 18 cm if its base is 24 cm and its area is 216 cm².
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46+46 +y+ y= 180 *plug y in to solve for x
The value of y in the equation is 44.
What is equation ?
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. A lot of specialists, such as air traffic controllers, architects, computer programmers, and carpenters, employ equations on a daily basis.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
46 + 46 + y + y = 180
2y = 180 - 46 - 46
2y = 180 - 92
y = 88 / 2
y = 44
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How do you determine the coordinates of a point after a reflection in the y-axis?
The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same.
A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
When a point is reflected across the Y-axis, the Y-coordinates remain the same, and the X-coordinates are transformed into their opposite signs.
Therefore, the reflection of the point (x, y) across the Y-axis is (-x, y).
A reflection of a point, a line, in the Y axis reflects the image over the Y axis to create a mirror image. In this way, the Y axis would be called the axis of reflection.
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if there are 20 oranges in one basket then how man in 12 baskets use the distribuive strategy to solve
Answer: There would be 240 oranges in 12 baskets.
Step-by-step explanation:
So, if there's 20 oranges per basket, you would just need to multiply 20 oranges by the 12 baskets.
20 x 12 = 240.
ASAP.... Please Help I will give BRAINLIEST
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
The angle measures of the triangle are :
45°, 45° and 90° respectivelyAnd since it has an angle measuring 90° (right angle), so conclusion can be made that the given triangle is a right angled triangle.
Hence, correct choice is ;
[tex]\qquad \sf \dashrightarrow \: \bf right[/tex]
Find greatest common factor of 24, 60. Show your work
Answer:
12
Step-by-step explanation:
What is GCF(greatest common factor)?
The GCF of a, b is the largest positive number that divides both a and b without a remainder
Prime factors of a number are the prime numbers that when multiplied together result in the number
Prime factors of 24
24 = 2 x 12
12 = 3 x 4
4 = 2 x 2
So prime factorization of 24 are 2 x 3 x 2 x 2 = 2³ x 3
Prime factors of 60:
60 = 2 x 30
30 = 2 x 15
15 = 3 x 5
Prime factorization of 60: 2 x 2 x 3 x 5 = 2² x 3 x 5
Find the factors that are common to both 24 and 60:
2² and 3
2² x 3 = 4 x 3 = 12
So the GCF is 12
This is the greatest number that can divide 24 and 60 without a remainder
7points more than twice the number of points scored by the other team
The given statement as an expression is y = 7 + 2x
How to represent the statement as an expressionFrom the question, we have the following parameters that can be used in our computation:
A mathematical statement
The mathematical statement is given as
7 points more than twice the number of points scored by the other team
Represent the points with x and y
So, we have the following representation
7 points more than twice x is y
is equal to implies =
So, we have:
7 points more than twice x = y
more than implies +, twice implies 2 times
This gives
7 + 2 * x = y
Evaluate
7 + 2x = y
Rewrite as
y = 7 + 2x
The question does not require that we solve the expression
So, we leave it at y = 7 + 2x
Hence, the required expression is y = 7 + 2x
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Simplify the expression to a polynomial in standard form: (x+6)(2x^2-4x+1) (x+6)(2x 2 −4x+1)
The standard form of polynomial 2x³ + 8x² -23x +6.
What is polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.
An expression that consists of exponents, constants, and variables that are concatenated using mathematical operations is referred to as a polynomial.
Given:
(x+6)(2x²-4x+1)
Multiplying the polynomial
= 2x³ -4x² + x + 12x² - 24x + 6
= 2x³ -4x² + 12x² + x -24x + 6
= 2x³ + 8x² -23x +6
Hence, the required polynomial is 2x³ + 8x² -23x +6.
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What are the solutions of 6t − 1 ≥ 4t + 13?
Answer:
t ≥ 7
Step-by-step explanation:
6t - 1 ≥ 4t + 13 ( subtract 4t from both sides )
2t - 1 ≥ 13 ( add 1 to both sides )
2t ≥ 14 ( divide both sides by 2 )
t ≥ 7
Answer:
Inequality Form: t ≥ 7
Interval Notation: [ 7, ∞ }
Step-by-step explanation:
1) Move all terms that contain "t" to the left side of the inequality by subtracting 4t from both sides.
a) 6t – 1 – 4t ≥ 13, THEN subtract 4t from 6t
b) 2t – 1 ≥ 13
2) Move terms that do not contain "t" to the right side of the inequality:
a) ADD 1 to both sides ––> 2t ≥ 13 + 1
b) ADD 13 and 1 ––> 2t ≥ 14
3) Divide each term by 2, then simplify:
= 2t/2 ≥ 14/2
4) Simplify the left side:
t = 14/2
5) Simplify the right side:
t ≥ 7
ANSWER:
Inequality Form: t ≥ 7
Interval Notation: [ 7, ∞ }
Your answer Daryl finds a pair of pants for $17.00. If the pants are on sale for 35% off, what is the sale price of the pants?
Answer:
$11.05
Step-by-step explanation:
First, you make the percent into a decimal
35% - 0.35
Next, you multiply 17 and 0.35
17* 0.35= 5.95
Then, you subtract the discount which is $5.95 from $17
17-5.95= 11.05
So, the answer is $11.05
Hope this helps :)
Answer: $11.05
Step-by-step explanation:
First how much 35% of 17:
35% = 0.35
0.35 x 17 = 5.95
Next, subtract this discount off of the total:
17 - 5.95 = 11.05
Now adding the dollar sign makes it $11.05
Jamal is planting seeds for a garden nursery. He plants 9 seeds in each container. If jamal has 296 seeds to plant about how many containers will he use? Please tell me the answer I need help.
Answer:
33 containers.
Step-by-step explanation:
Dividing 296 by 9 gives you 32.89, rounding up to the next whole number gives you 33 containers.
Which triangle is a 30 degrees 60 degrees 90 degrees triangle?
Answer:
The answer is
30 degrees is acute angle
60 degrees is also acute angle
90 degrees is right angle
Step-by-step explanation:
anything below 90 degrees is acute angle
90 degrees creates a perfect square which is a right angle
Use properties of operations to find the product of 8 and 88.
Fill in the blanks below.
8 x 88 = 8x (90-a)
= (8 x 90)-(8x a), a =
= 720-
||
A
The value of a for the given expression will be 2.
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.
Given that the expression will be 8 x 88 = 8x (90-a). The value of a will be calculated as,
8 x 88 = 8x (90-a)
88 = 90 - a
a = 90 - 88
a = 2
Hence, the value of a will be 2.
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Which graph shows the function f(x)=−ln(x−1)
The graph that shows the function f(x) = -ln (x - 1) is graph C.
Option C is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
f(x) = -ln (x - 1)
When x = 1, f(1) = - ln 0 = ∞
When x = 2, f(2) = - ln (2 -1) = -ln 1 = 0
When x = 3, f(3) = - ln (3 - 1) = - ln 2 = - 0.30
These coordinates are seen in graph C.
The graph in option C represents f(x).
Thus,
The graph in option C represents f(x).
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Can someone please help me
Answer:
What is this on
Step-by-step explanation:
What is common midpoint method?
There are two points: one at x1, y1 and the other at x2, y2. A point with an x value of x one plus x .
what is order of rotation ?The number of rotations that a geometry can fit into is determined by its order of rotational symmetry. The degree of rotational symmetry is expressed as 360°A°, where A° is the lowest angle by which a figure may be rotated from its rotated shape to its original shape. 360 degrees The number of rotations a perfect circle can undergo while still preserving its shape is a measure of a shape's degree of rotational symmetry. A full 360° revolution won't look the same until a triangle is placed back in its initial starting position.
given
There are two points: one at x1, y1 and the other at x2, y2. A point with an x value of x one plus x .
two all divided by two lies directly between the two points. Its y coordinate is equal to y1 plus y2 divided by 2.
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What is the formula of minor sector and minor segment?
The formula of the minor sector = (θ/360°) × π r²
The formula of the minor segment = (θ / 360°) × πr² - (1/2) r² sin θ (OR) r² [πθ/360° - sinθ / 2] if 'θ' is in degrees
What is a segment of a circle?
A circle's arc and chord together define a segment, which is the area within that region. Let's go over what a circle's arc and chord signify once more.
What is a sector of a circle?
The term "Minor Sector" refers to the tiny area of a circle that is removed by two circle radii. The minor sector is a tiny area occupied by two radii.
Here,
We have to find the formula of the minor sector and minor segment.
We concluded that
The formula of the minor sector = (θ/360°) × π r²
The formula of the minor segment = (θ / 360°) × πr² - (1/2) r² sin θ (OR) r² [πθ/360° - sinθ / 2] if 'θ' is in degrees.
Hence, the formula of the minor sector is (θ/360°) × π r².
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PLEASE HELP ASAP!!!!!
Answer:
answer B
Step-by-step explanation:
Did this one on a test got it right last week
Please help!! I would love to learn how to understand this.
A step-by-step would be great. Thank you.
Answer:
BC = 143
JC = 10
Step-by-step explanation:
Similar triangles:In similar triangles, the corresponding sides are in same ratio.
ΔABC ~ ΔAGH
[tex]\sf \dfrac{BC}{GH} = \dfrac{AB}{AG}\\\\\\\dfrac{BC}{22}=\dfrac{130}{20}\\\\[/tex]
[tex]\sf BC =\dfrac{130}{20}*22[/tex]
= 13 * 11
[tex]\sf \boxed{BC = 143}[/tex]
11) ΔJLK ~ ΔJBC
[tex]\sf \dfrac{JC}{JK} = \dfrac{JB}{JL}\\\\\\\dfrac{JC}{40}=\dfrac{12}{48}\\\\JC = \dfrac{12}{48}*40\\\\JC = \dfrac{1}{4}*40\\\\JC = 1*10\\\\\boxed{\bf JC = 10}[/tex]
can someone please help
Answer:
For the hexagon, the sum of all angles must be equal to 360. So, we have 360 divided by 6 and we have 60 and this is the angle for the hexagon. For the pentagon, again, the sum of all the angles must be equal to 360, so each angle is equal to 360/5 = 72.
The difference between 72 and 60 is equal to y which is 12.
Step-by-step explanation:
Help pls and ty
What’s the slope of 6x+8y=10
What’s the y-intercept
Answer:
slope=-3/4
y=5/4
Step-by-step explanation:
attached wrk here
Select the correct answer. What is the slope of the line represented by this equation? -3x + 8y = 12 a. B. C. D.
With the help of the given equation, we know that the required slope is (A) 3/8.
What is a slope?In math, the gradient of a line is a number that tells you how steep it is and in which direction it goes in.
The point-slope form is a way of writing equations (y-y₁=m(x-x₁)) to emphasize the slope and a point on the line that isn't the y-intercept.
To highlight the same line's slope and y-intercept, you can rewrite the equation in slope-intercept form (y=mx+b).
So, we have the equation:
-3x + 8y = 12
Calculate the slope as follows:
We need to change it into a more general format.
-3x+8y=12
⇒ 8y = 3x+12
⇒ y = 3x/8+12/8
⇒ y = 3x/8+3/2
If you look at it in terms of y = mx+c, the m would be 3/8.
Therefore, with the help of the given equation, we know that the required slope is (A) 3/8.
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Complete question:
Select the correct answer. What is the slope of the line represented by this equation? -3x + 8y = 12
a. 3/8
B. 4/8
C. 8/4
D. 2