Brand X soda advertises, "We will give you 20% more soda than Brand Y for a total price that is 10% less than Brand Y's price!" What is the ratio of the unit price of Brand X soda to the unit price of Brand Y soda? Express your answer as a common fraction. ...?
Answer:
3/4
Step-by-step explanation:
its 3/4 k
is it true or false that many of the same constructions the greeks performed only with a straightedge and compass can be done using only a straightedge and tracing paper?
Answer: true.
Step-by-step explanation: Here we must see if the use of a compass can be replaced with the use of a tracing paper.
Now, suppose you have a sheet of paper in your table, you can apply pressure in it with your finger at some point, now you can drill a little hole with the point of a pencil at some distance of your finger. Now, with the pencil in place, you can start to rotate it and you will see that an almost perfect circle will appear.
So yes, you can do this, so it's true.
In the diagram below, G is the incenter of DEF. m
In the previous question, what is m
Final answer:
The question involves Physics concepts such as vector addition, moment of inertia, and gravitational force calculations. The incenter mentions seem irrelevant to the Physics calculations related to inertia and force.
Explanation:
The question asked is about calculating the moment of inertia for a specific geometric object (a cylinder) and involves understanding the mass distribution relative to an axis of rotation. This is a common concept in the field of Physics, particularly when dealing with rotational dynamics and inertia.
The mention of the incenter of a triangle appears to be unrelated to the main question, which is more focused on moments of inertia, vector addition, and gravitational force equations as indicated by the provided reference information.
For example, the moment of inertia of a cylinder about a given axis can be calculated using established mathematical formulas. Moreover, vector addition (such as Đ = Ả + 2B - F) includes principles such as scaling, displacement and direction, which are crucial in Physics for predicting the outcomes of combined vector forces.
Lastly, the reference to the mass m of an object cancelling in the equation for g is related to calculating the acceleration due to gravity on Earth, which does not depend on the mass of the falling object.
In the previous question, m represents the measure of an angle, and without specific information about which angle in Δ DEF is being referred to, a precise value cannot be determined.
Explanation:The symbol m in geometry typically denotes the measure of an angle. In the context of the given diagram, G being the incenter of Δ DEF suggests that G is the point where the angle bisectors of the triangle intersect. However, to determine the specific measure (m) of an angle, additional details about which angle in Δ DEF is being considered are required.
In geometry, the measure of an angle can vary based on its location within a triangle. The incenter is where the angle bisectors meet, ensuring that the angle formed by connecting G to the vertices of Δ DEF is bisected equally. Without information about the specific angle being referenced, a numerical value for m cannot be provided.
Understanding angle measures and the role of an incenter in bisecting angles is crucial in geometry. Precision in describing angles requires clarity on the specific angle under consideration, allowing for accurate calculations and conclusions.
Which of the point-slope equations below is correct for the line that passes through points (-4,-4) and (1,3)? Check all that apply.
A. y - 3 = 7/5(x - 1)
B. y - (-4) = 7/5(x - (-4))
C. y - 3 = 7/5(x + 1)
D. y + 4 = 7/5(x - 4)
E. y + 4 = 7/5(x + 4)
F. y + 4 = 5/7(x + 4)
What is 27.38 rounded to the nearest wholenumber?
Identify the correct slope and y intercept of the equation 2x + 4y = 12.
How would I do this?
slope = 2; y intercept at (0, 12)
slope = 1/2; y intercept at (0, 3)
slope = 1/2; y intercept at (0, 4)
slope = -1/2; y intercept at (0, 3) ...?
Factor the expression.
x squared-25
Suppose that any given year, the value of a certain investment is increased by 15%. If the value is now $15,000, in how many years will the value be $21,000?
...?
A wooden fence 6 ft. high and 300 ft. long is to be painted on one side. How many gallons of paint are needed if one gallon covers 400 sq. ft.?
Answer:
4.5 gallons
Step-by-step explanation:
What is the magnitude of the size change of the figures formed by these matrices?
[3 -2 1] [6 -4 2]
4 1 -1 8 2-2 ...?
The magnitude of the size change of the figures formed by these matrices is:
2
Step-by-step explanation:We are given a first matrix as:
[3 -2 1]
and second matrix is given by:
[6 -4 2]
Since we could clearly observe that when we multiply first matrix by a constant 2 then we obtain a second matrix.
i.e. 2[3 -2 1]=[2×3 2×(-2) 2×1]
= [6 -4 2]
Hence, the change in the magnitude of the size of two matrices is:
2
The table shows the amounts of food collected by two homerooms. Homeroom A collects 21 additional items of food. How many more items does Homeroom B need to collect to have more items per student Homeroom A Homeroom B
Students 24 16
Canned Food 30 22
Dry Food 42 24
The number of food items Homeroom B needs to collect to have more food items per student than Homeroom A is 16
How many more items does Homeroom B need to collect to have more items per student?Food items collected by homeroom A:
Canned food = 30
Dry food = 42
Additional food items = 21
Number of students = 24
Food items per students = (30 + 42 + 21) / 24
= 93/24
Food items collected by homeroom B:
Canned food = 22
Dry food = 24
Additional food items = x
Number of students = 16
Food items per students = (22 + 24 + x) / 16
= (46 + x) / 16
Number of more food items Homeroom B need to collect to have more items per student than Homeroom A:
(46 + x) / 16 > 93/24
cross product
(46 + x) × 24 > 16 × 93
1,104 + 24x > 1,488
24x > 1,488 - 1,104
24x > 384
Divide both sides by 24
x > 384/24
x > 16
Hence, homeroom B should collect more than 16 food item to have a greater item per student
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Homeroom B needs to collect at least 17 more items to exceed Homeroom A in items per student. The calculation is based on the total food items and the number of students in each homeroom.
To find out how many more items Homeroom B needs to collect to have more items per student than Homeroom A, we will first calculate the items per student for each homeroom, considering that Homeroom A collects 21 additional items.
First, calculate the total items of food collected by each homeroom:
Homeroom A:
- Canned food: 30 items
- Dry food: 42 items
- Additional items: 21 items
Total items for Homeroom A:
30 + 42 + 21 = 93 items
Number of students in Homeroom A: 24
Items per student in Homeroom A:
[tex]\[\frac{93}{24} \approx 3.875 \text{ items per student}\][/tex]
Homeroom B:
- Canned food: 22 items
- Dry food: 24 items
Total items for Homeroom B:
22 + 24 = 46 items
Number of students in Homeroom B: 16
Items per student in Homeroom B:
[tex]\[\frac{46}{16} = 2.875 \text{ items per student}\][/tex]
Determine additional items needed for Homeroom B:
Let ( x ) be the additional items needed for Homeroom B to exceed Homeroom A's items per student.
The new total items for Homeroom B would be:
46 + x
The new items per student for Homeroom B would be:
[tex]\[\frac{46 + x}{16}\][/tex]
We need this to be greater than Homeroom A's items per student:
[tex]\[\frac{46 + x}{16} > 3.875\][/tex]
Solving for ( x ):
46 + x > 3.875 × 16
46 + x > 62
x > 62 - 46
x > 16
Thus, Homeroom B needs to collect more than 16 additional items to have more items per student than Homeroom A.
In conclusion, Homeroom B needs to collect at least 17 more items to exceed Homeroom A in items per student.
Can you simplify 1/18
Find the length of LK
Which of the following is equivalent to45/46 ?
88/92
135/138
46/45
90/93
12 is what percent of 30
find the derivative:
y=(4xe^x)/(x^2+1)
What is two thousand eight hundred thirty five divided by twenty one?
Triangle ABD equal to triangle CBD. Name the theorem or postulate that justifies the congruence.
(There is a diagram)
When you get your answer could you please tell me how you got it? Thank you!
Answer:
SAS postulate
Step-by-step explanation:
Triangle ABD equal to triangle CBD.
The postulate that justifies the congruence is - Side angle side.
The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
Triangle ABD equal to triangle CBD.
The postulate that justifies the congruence is - Side angle side
The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
when you shift shift a function, you are ____ it.
A. Moving
B. Stretching
C. Compressing
D. Flipping
Find the product of (3x + 7y)(3x − 7y).
9x2 − 42xy + 49y2
9x2 + 42xy + 49y2
9x2 − 49y2
9x2 + 49y2 ...?
The correct answer for the product of [tex](3x+7y)(3x-7y)[/tex] is [tex]9x^2+49y^2[/tex].The correct option is [tex]b.[/tex].
Given expression:
[tex](3x+7y)(3x-7y)[/tex]
To simplify multiply first term and second term of first expression with second expression separately:
Simplify:
[tex]3x(3x+7y)+7y(3x-7y)[/tex]
[tex]= 9x^2+21xy +21xy-49y^2[/tex]
Add Like terms:
[tex]= 9x^2+42xy-49y^2[/tex]
The product of [tex](3x+7y)(3x-7y)[/tex] is [tex]= 9x^2+42xy-49y^2[/tex] . The correct option is [tex]b.[/tex]
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Convert 288° to radians.
Find the solution set for the open sentence with the given replacement set.
2x + 7 = 19, {4, 5, 6, 7}
Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value? Show all work.
Answer:
27
Step-by-step explanation:
Since coeficient in front of x is larger than coeficient in front of y that means that value of function P depends more on x than on y. That means that we should look for highest posible x and see highest posible y for that x.
Highest x value is 9 and we can only pick y=0 for it
P = 27
Note that if u decrease x by 1 we can take y=1 but now our value is:
P = 8*3 + 2*1 = 26 which is just confirmation why P depends more on x than on y due to coefficient in front of x.
And or
Answer:
27
Step-by-step explanation:
To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.
NOTE: I don't understand why (5,4) was given on your graph as a vertex.
(0,8): P = 3(0) + 2(8) = 0 + 16 = 16
(5,4): P = 3(5) + 2(4) = 15 + 8 = 23
(9,0): P = 3(9) + 2(0) = 27 + 0 = 27 THIS IS THE LARGEST (MAX) P-VALUE
Explane how you can tell 4 is a factor of 30
A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %.This year the price is $17,891. Find the increase and the new price.
what is the expression in factored form 16x^2+8x
Final answer:
The expression 16x^2+8x in factored form is 8x(2x + 1), obtained by factoring out the greatest common factor, which is 8x.
Explanation:
To factor the expression 16x^2+8x, we look for common factors in each term. Here, we can see that both terms contain a power of x and the number 8 is a common factor. We can factor out 8x from each term.
Step-by-step, this looks like:
Identify the greatest common factor (GCF): both terms have an x and an 8 in common.Factor out the GCF: 16x^2 + 8x = 8x(2x + 1)We've now expressed the original expression in factored form.
Each week, Diana spends 4 hours playing soccer and 6 hours babysitting. Which ratio is equivalent to the ratio of the time Diana spends playing soccer to the time she spends babysitting?
A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.
The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?
A x2 – 99 = 0
B x2 – 99x = 0
C x2 + 5x + 104 = 0
D x2 + 5x – 104 = 0
The quadratic equation for the word problem, written in standard form is equal to: D. x² + 5x - 104 = 0.
Given the following data:
L = (W + 5) inches.
Area = 104 square inches.
Note: Let the width be x.
How to calculate the area.Mathematically, the area of a rectangle is calculated by using this formula:
LW = A
(x + 5)x = 104
x² + 5x = 104
x² + 5x - 104 = 0
In Mathematics, the standard form of a quadratic equation is given by ax² + bx + c = 0 ⇔ x² + 5x - 104 = 0.
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Joke ran 2 miles. jesse ran 4 times as far. there are 5280 feet in a mile. how many feet did jesse run?
A department store has a discount on shoes based on a percentage of the price suppose one pair of shoes is marked down from $70 to $49 what is the price for a $100 pair of shoes after the discount is applied