Answer:
7514 pints
Step-by-step explanation:
If it is american pints/cups(one pint is two cups)
1. Multiply
6 x 2 = 12
2. Add
12 + 1 = 13
3. Multiply
13 x 1156 = 15028
4. Divide.
15028 divided by 2 = 7514
Janice and Siti packed 146 cookies altogether. Janice and Huiling packed 374 Cookies altogether. Huiling packed 3 times as many cookies as Siti. How many cookies did Janice pack?
Janice packed 32 cookies.
What is system of equations?A system of equations is a set of two or more equations that are to be solved simultaneously. The solutions to a system of equations are the values that satisfy all the equations in the system. There are different methods to solve systems of equations, such as substitution, elimination, and graphing. Systems of equations are used in many areas of mathematics, science, engineering, and economics to model and solve real-world problems.
What is the substitution method?Substitution method is a common technique for solving systems of equations. In this method, one equation is solved for one of its variables in terms of the other variable, and then the expression for that variable is substituted into the other equation. This results in an equation in one variable that can be solved using algebraic methods. Once the value of one variable is found, it can be substituted back into one of the original equations to solve for the other variable.
In the given question,
Let's use a system of equations to solve the problem:
Let x be the number of cookies Janice packed.
Let y be the number of cookies Siti packed.
Let z be the number of cookies Huiling packed.
From the problem, we know:
x + y = 146 (equation 1)
x + z = 374 (equation 2)
z = 3y (equation 3)
We can use equation 3 to substitute z in equation 2:
x + 3y = 374
We can then use equation 1 to substitute y in the new equation:
x + (146 - x)/2 * 3 = 374
Simplifying and solving for x, we get:
x + 219 - 3x/2 = 374
2x/2 - 3x/2 = 374 - 219
-x/2 = 155
x = -2 * 155
x = -310 (discard this solution)
Since we can't have negative number of cookies, we discard the solution x = -310. Therefore, we can conclude that Janice packed:
x = 146 - y
x = 374 - z
z = 3y
Substituting z in the second equation, we get:
x = 374 - 3y
Substituting this expression for x in the first equation, we get:
374 - 3y + y = 146
Simplifying and solving for y, we get:
-2y = -228
y = 114
Therefore, Siti packed 114 cookies, and since Janice and Siti packed 146 cookies altogether, we have:
x + y = 146
x + 114 = 146
x = 32
So Janice packed 32 cookies.
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Here are the heights (in inches) of 12 students in a seminar. 71, 67, 62, 60, 70, 64, 68, 72, 58, 63, 60, 66 What is the percentage of these students who are shorter than 65 inches? 1% X 5
25% of the students in the seminar are shorter than 65 inches.
To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:
There are three students who are shorter than 65 inches: 62, 60, and 58.
Therefore, the percentage of students who are shorter than 65 inches is:
(3 students / 12 students) × 100% = 25%
Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.
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with a A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of randomly selecting someone from this group brother given that they have a sister?
P(Brother|Sister)
5/12
5/17
5/9
5/14
Answer:
5/14
Step-by-step explanation:
add 5 and 9 to get the denominator
the ratio of the measures of the angles in quadrilateral dogs is 5:8:12:15. find the measure of the largest angle.
Answer:
135º
Step-by-step explanation:
Total parts
5 + 8 + 12 + 15 = 40
Value of each part; 360º in a quadrilateral
360 / 40 = 9
Largest angle
15 * 9 = 135º
Cells use the hydrolysis of adenosine triphosphate, abbreviated as ATP, as a source of energy. Symbolically, this reaction can be written asATP(aq)+H2O(l)⟶ADP(aq)+H2PO−4 (aq)where ADP represents adenosine diphosphate. For this reaction, ΔG∘=−30.5kJ/mol.a. Calculate K at 25∘C .b. If all the free energy from the metabolism of glucoseC6H12O6(s)+6O2(g)⟶6CO2(g)+6H2O(l)goes into forming ATP from ADP, how many ATP molecules can be produced for every molecule of glucose?
Answer:
Step-by-step explanation:
From the given information:
ΔG° = -30.5 kJ/mol
By applying the following equation to calculate the value of K.
ΔG° =-RT㏑K
making ㏑ K the subject of the formula:
\(\mathtt{ In \ K} = \dfrac{\Delta G^0}{-RT}\)
where;
Temperature at 25° C = (25 + 273)K
= 298K
R = 8.3145 J/mol.K (gas cosntant)
\(\mathtt{ In \ K} = \dfrac{-30.5 \times 10^{3}\ J /mol} {-(8.3145 \ J/mol. K \times 298 \ K}\)
\(\mathtt{ In \ K} = \dfrac{-30.5 \times 10^{3}\ J /mol} {-2477.721 J/mol }\)
㏑K = 12.309
\(K = e^{12.309}\)
K = 221682.17
K = 2.22 × 10⁵
b) The reaction for the metabolism of glucose is given as:
\(C_6H_{12} O_6 + 6O_{2(g)} \to + 6CO_{2(g)} + 6H_2O_{(l)}\)
From the above expression, let calculate the Gibbs free energy by using the formula:
\(\Delta G^0_{rx n }= \Delta G^0_{product}- \Delta G^0_{reactant}\)
\(\Delta G^0_{rx n }= [6 \times \Delta G^0_{f}(CO_2) + 6 \times \Delta G^0_{f}(H_2O)] - [1 \times \Delta G^0_{f}(C_6H_{12}O_6) + 6 \times \Delta G^0_{f}(O_2)]\)
At standard conditions;
The values of corresponding compounds are substituted into the equation above:
Thus,
\(\Delta G^0_{rx n }= [6 \times (-394) + 6 \times (-237)] - [1 \times (-911) + 6 \times (0)] \ kJ/mol\)
\(\Delta G^0_{rx n }= [-2364-1422] - [-911+0] \ kJ/mol\)
\(\Delta G^0_{rx n }= -3786 +911 \ kJ/mol\)
\(\Delta G^0_{rx n }= -2875 \ kJ/mol\)
\(\Delta G^0_{rx n }= -2875000 \ J/mol\)
Now, the no of ATP molecules generated = \(\dfrac{\Delta G^0 \text{of metabolism for glucose}}{\Delta G^0 \text{of hydrolysis for ATP}}\)
= (-2875000 J/mol ) / -30500 J/mol
= 94.26
≅ 94 ATP molecules generated
Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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which is the equation of a line in point slope form that passes through the point 2,5 and has a slope of 1/2
Answer:
see below
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - 2 = 4(x- -1)
y - 2 = 4(x+1)
slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substituting the point in
2 = 4(-1)+b
2 = -4+b
6 =b
y = 4x+6
standard form
Ax +by = c where A is a positive integer and b and c are integers
y = 4x+6
Subtract 4x from each side
-4x+y = 6
Multiply by -1
4x -y = 6
Solve. Round answer to the hundredths place. If answer does not have a hundredths
place then include zeros so that it does. Be sure to attach your work for credit.
54.1 = 2.0m
Your Answer:
The solution for m in the equation 54.1 = 2.0m is m = 27.05 rounded to the hundredths place.
Solving for m in the equationFrom the question, we have the following parameters that can be used in our computation:
54.1 = 2.0m
To solve for m, we need to isolate m on one side of the equation.
54.1 = 2.0m
Dividing both sides by 2.0:
27.05 = m
Therefore, the solution is m = 27.05 rounded to the hundredths place.
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if points p and q are contained in a plane, then pq is entirely contained in that plain
When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.
What are two or more points if they lie on the same line?A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.
Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.
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How many filled sandwich cookies would you need to reach of 1700 mm if you only had one top of the cookie, the stuffing and one bottom of the cookie? Height of top of cookie 3.5 mm height of stuffing 2 mm and height of bottom of cookie 3.5 mm
Answer:
??
Step-by-step explanation:
what is the value of the expression 9+n/3-6 when n= 12
Answer:
The answer is 7.
Step-by-step explanation:
I have used an Online Algebra calculator to check my answer with so this answer is 100% correct.
PLEASE MARK BRAINLIEST.(THE CROWN ON THE LOWER RIGHT- HAND SIDE OF ANSWER.)
Please only answer if u actually know pls!
At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.
To find the total revenue at each price, we can multiply the price by the corresponding quantity.
Price Quantity Total Revenue
$6 0 $0
$5 1 $5
$4 2 $8
$3 3 $9
$2 4 $8
$1 5 $5
To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.
In this case, the highest total revenue is $9, which occurs when the price is $3.
At a price of $3, the company will sell 3 units (as indicated in the Quantity column).
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A girl who is flying a kite lets out 200 feet of string which makes an angle of 50° with the ground. Assuming that the string is stretched out, find, to the nearest foot, how high the kite is above ground.
The height of the kite from the ground when the angle is 50 degrees is 232 feet.
What is trigonometry?The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.
Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.
To find the height of the kite above the ground we use the trigonometric identity of tangent.
Thus, we have:
tan(50°) = h/200
Now, using cross multiplication:
h = 200 tan(50°) ≈ 232 feet
Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.
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a function f from a to b is a relation from a to b that satisfies two properties: for every xelement of a, there is a y element of b such that element of f for all elements x element of a and both y and z such that y element of b and z element of b: if (x,y) and (x,z) are in f, then
A relation from A to B is a function if it satisfies two properties:
For every x ∈ A, there is a y ∈ B, such that (x,y) ∈ FFor all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.Suppose we have two sets A and B and we have a relation that maps elements of A to elements of B. A relation from A to B is defined as a function if every elements of A is related to exactly one element of B.
Let (x,y) is a pair of input and output. If (x,y) is related by a function f, we can denote (x,y) ∈ F
We can write the first condition as:
For every x ∈ A, there is a y ∈ B, such that (x,y) ∈ FSince x is mapped to the exactly one output, then if both y and z are elements of B and (x,y) and (a,z) are in F, then y must be equal to z. Hence, the second condition is:
2. For all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.
There are typos in your question. Most likely your question was like on the attached picture:
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What is the circumference of a circle with a diameter of 14 cm? Approximate using pi equals 22 over 7.
22 cm
44 cm
154 cm
616 cm
Answer: 154 cm is the answer
Step-by-step explanation:
Answer:
154 cm
Step-by-step explanation:
-4√x + 5 + 5
I’m not sure how to solve. Radical quadratic function.
Answer:
si es funcion radical al final se pondra con raiz y las raizes son como potenciacion pero al revez es como multiplicacion y su opuesto en divicion haci que 5 mas 5 es 10 mas 4 es 14 pero sigue al raiz haci que se tiene que buscar una raiz a 14 seria 3,7288 y haci pero si no tenemos entonces una divicion 7 por 2 14 pero no se puede haci que 4 entre 7 la respuesta la pondrias como 4 (imagen de raiz encima del 7) 7
Step-by-step explanation:
espero ayudarte utilice un 64/1 de mi cabeza
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change as a simplified mixed number would be,
⇒ 1 3/4
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.
We have to given that;
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.
Now, The average change as a simplified mixed number would be,
⇒ (12 1/4) / 7
⇒ (49/4) / 7
⇒ (49 / 4×7)
⇒ 7/4
⇒ 1 3/4
Therefore, The average change is,
⇒ 1 3/4
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i need help on this. anyone ?
Answer:
Read below
Step-by-step explanation:
To copy a segment, you have to open your compass to the length of the given segment. The instructions say to have an endpoint at R, so, with the compass open to the length of the given line segment, place one end of the compass at R and draw an arc that intersects the line that R lies on. This new segment is congruent to the given segment.
I hope this helps!
A desk fan has blades of 4 inches rotated at a rate of 249 revolutions per minute.
What is the additive inverse of the number given below?
6
Answer:
-6 is the answer for instance 6=-6 or +(-6)
-2*(-4)*9 what's the proper order
The following figure is made of 2 triangles.
7
А
5
B
4
Find the area of each part of the figure and the whole figure.
The area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.
What is area?A two-dimensional surface, like the surface of a shape or object, can be measured in terms of area. Usually, it is expressed in square quantities like square metres (m2) or square feet (ft2). By multiplying the length and breadth of a rectangle, or by applying particular formulas for other forms, such as base times height divided by two for a triangle, one can determine the area of a shape.
From the given figure we observe that the base of the slanted figure has true base length of 5 units.
Thus, for triangle B the area is:
Triangle B = 1/2(b)(h)
Triangle B = 1/2(5)(4) = 10 square units.
For triangle A we have:
Triangle A = 1/2(5)(7) = 35/2 = 17.5 square units.
The area of the whole figure is:
A = 10 + 17.5 = 27.5 square units.
Hence, the area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.
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suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.
At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.
A delivery has at least 89% of its values inside of three of the mean's standard deviation.
We have the following in this problem:
Mean = $3.53
$0.14 is the standard deviation.
Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.
2 standard deviations from the mean.
So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.
At least 75% of the data might very well fall between $3.25 and $3.81.
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Whats the correct answer answer asap for brainlist
Answer:
The Crusades were a series of religious wars that took place in the 1000s ADStep-by-step explanation:
The Crusades were a series of religious wars initiated, supported, and sometimes directed by the Latin Church in the medieval period. The best known of these Crusades are those to the Holy Land in the period between 1095 and 1291 that were intended to recover Jerusalem and its surrounding area from Islamic rule.
Rohan used the model below to show
1.38 ÷ 3
Three groups of cubes are shown with 4 groups of tens and 3 ones in each group.
Part A
Rohan made an error in his model. Explain his error. Include the correct grouping for the model.
Three groups of cubes are shown with 4 groups of tens and 3 ones in each group is incorrect and 0.46is correct for 1.38 ÷ 3
What is Division?A division is a process of splitting a specific amount into equal parts.
Rohan's model is represented as:
1.38 ÷ 3=0.43
The model is incorrect, and the correction is as follows:
Express 1.38 as 1.20 + 0.18
Now (1.20 + 0.18)÷ 3
(1.20÷ 3)+(0.18÷ 3)
0.4+0.06
0.46
Hence, the correct result of the model is 0.46
Hence Three groups of cubes are shown with 4 groups of tens and 3 ones in each group is incorrect and 0.46 is correct
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Please help me find the answer
please help!
this is due by tonight
Answer:
6
Step-by-step explanation:
The two triangles are similar which means the the two length is parallel
.°., the Length of the smaller triangle=6
Is it possible for a triangle to have the three angle measurements 7cm, 24cm, 25cm and is it congruent or not?
Answer:
The Answer is yes to both of your questions.
Step-by-step explanation:
SSS (Side angle Side) = Because If 3 sides of triangle are congruent to 3 sides of another triangle, the triangles are congruent. SAS (Side angle side) = If 2 sides and the angle in between are congruent to the corresponding parts of another triangle, the triangles are congruent.
find the general solution for: cos(x+30)=-1
The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.
To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.
In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:
x + 30 = (2n + 1)π
Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:
x = (2n + 1)π - 30
This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.
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Euclid Thales Hippocrates Pythagoras X regarded as the father of geometry a Greek geometer who has a theorem named after him a mathematician who compiled basic geometric facts, or elements, into a textbook X X a Greek philosopher who →contributed to five theorems of elementary geometry **got answer off here...showing the ones i got wrong ughh
Pythagoras - Has a theorem named after him
Thales - Contributed to the five basic theorems of geometry
What did Pythagoras do?Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.
Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.
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