Answer:
No remainder: Ana has 49 chocolate bars and she wants to give the same amount to each of her seven friends. How many chocolate bars would each friend get?
You have a remainder but don't use it: Ana has a 498 sticker pack. She wants to divide them amongst her 7 friends. How many stickers would each friend get if they all get the same amount?
Step-by-step explanation:
In the first one if you divide 49 by 7 you will get no remainder but in the second one you will
I didn't know what your question meant so I answered it if the problem had no remainder or if the problem did have a remainder but it is not used
Hope this helped :)
Answer:
You are a teacher holding a competition amongst your students. In your class, you have 31 children competing. The prizes that you give them are chocolates. Beforehand, you bought 2 bags of Hershey's Kisses. Inside one bag, there are 70 Hershey's Kisses. In the end of the competition, you teach your students that in your classroom, there are no winners or losers; just learners. You spread the Hershey's Kisses evenly amongst all of your students. You keep the remaining ones left. How many Hershey's Kisses do your students get?
(I hope whoever grades this for you gets a little laugh out of it lol)
What is the image of (-8,-12) after dilation by scale factor of 1/4 centered at the orgin
Answer:
(- 2, - 3 )
Step-by-step explanation:
since the dilatation is centred at the origin, then multiply the coordinates by the scale factor.
(- 8, - 12 ) → ([tex]\frac{1}{4}[/tex] (- 8), [tex]\frac{1}{4}[/tex] (- 12) ) → (- 2, - 3 )
Jane bought a new car three years ago.
At the end of the first year the value of the car had decreased by 12.5%
The value of the car then decreased by 10% each year for the next two years.
At the end of the three years, the value of the car was £17 010
Work out the value of the car when Jane bought it three years ago.
The value of the car when Jane bought it three years ago would be = £52,338.46
What is the value of a product?The value of a product is the cost or worth of that product which can decrease or increase over time and this can affect it's cost outcome.
The value of the car bought by Jane decreases in the first year = 12.5%
The value of the car decreased next two years by 10% each = 10× 2 = 20%
The total percentage decrease in value = 20+12.5 = 32.5%
The amount decreases to.= £17010
That is 32.5% = £17010
100% = X
Make X the subject of formula;
X = 100 × 17010/32.5
X = 1701000/32.5
X= £52,338.46
Therefore, in conclusion, the value of the new car three years ago = £52,338.46.
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How do I know my SSS or SAS?
The triangles are congruent if all three sets of comparable sides are present. The side-side-side shortcut is a congruence technique (SSS). Side-angle-side (SAS), which uses two sets of sides and an angle between them that is known to be congruent, is another shortcut.
SSS, which stands for "side, side, side," denotes that there are two triangles with identical angles on all three sides. The triangles are congruent if their third sides are the same as those of another triangle. The triangles are congruent if two pairs of corresponding angles and the included sides are both true. This standard is called angle-side-angle (ASA).
Angle-angle-side (AAS) is another criterion that takes into account the congruence of two pairs of angles as well as the non-included side. SSS stands for "side, side, side," which signifies that we have two triangles with equal sides on all three sides. SAS, ASA, and AAS are acronyms for these rules. "Side, Angle, Side" stands for two triangles whose two sides and one included angle are known to be equal.
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What is an example of a linear function graph?
y = 3x - 2 is an example of a linear function graph.
What are the steps of draw the linear function graph?For graphing linear functions, there are three fundamental techniques. The first method involves tracing a line across a set of points that have been plotted. The second method makes use of the slope and y-intercept. Applying transformations to the identity function f(x)=x f(x) = x is the third step.
Those with a straight-line graph are considered to be linear functions. The following is the form of a linear function. a + bx = y = f(x). In the linear function there are one independent and one dependent variables . X is an independent variable, whereas Y is a dependent variable.
Example: The equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane. This function may be expressed as f(x) = 3x - 2 since y can be substituted with f(x).
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What is another name for linear function?
The slope-intercept form is the common representation of a linear function.
What are some instances of a linear function?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane. This function may be written as f(x) = 3x - 2 since y can be substituted with f(x).
How can you know from an equation if a function is linear or nonlinear?A mathematical equation must take the form y=mx+b in order to be classified as a linear function (in which m is the slope and b is the y-intercept). This form cannot be satisfied by a nonlinear function. The variables in a linear equation are appear in first degree only and terms containing products of variables are absent.
This equation generates a straight line because the power of x is always one demonstrating that there is only one x variable. As long as the exponent of x is one, the graph is a straight line. Any other values will yield nonlinear curves.
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HELP ME if u can i'll give brainilest if yuor answer is correct.
Answer:
$1.60
Step-by-step explanation:
1 pound of rice divided into eight sections. Five sections cost $1, thus divide by 5 and multiply by 8
1/5*8 = $1.6
Answer: $1.60 (I think)
Step-by-step explanation: I'm not sure, but when it said the whole diagram = 1 whole pound of rice. So, we know there are 8 parts. So, if 5 of the 8= $1.00. So, the 100 / 5 = 20, now we can ASSUE each tile = 0.20 cents. So, 0.20 x 8 = $1.60. I hope I am right
triple the difference of five and a number
1.Solve this equation by completing the square x^2-14x+49=40. Show your work. No other method will be accepted.
2. Solve this equation by factoring by grouping x²-x = 12. All work must be shown and no other method will
be accepted.
3. Given this quadratic equation, 2x^2-15x-8=0
A) list the factors of the equation
B) determine the x-intercepts. Show your work algebraically
Can you please do the work in handwriting please
The values of x are -3 and 4.
What is factoring polynomial?
The term "factorization of polynomials" or "polynomial factorization" refers to the process of combining irreducible factors with coefficients in the same domain to express a polynomial with coefficients in a given field or in integers.
Consider, the given equation
x^2 - x = 12
Subtract 12 from both sides
x^2 - x - 12 = 12 - 12
x^2 - x - 12 = 0
Since -12 = -4 x 3
⇒ x^2 - 4x + 3x - 12 = 0
x(x - 4) + 3(x - 4) = 0
(x + 3)(x - 4) = 0
⇒ (x + 3) = 0, (x - 4) = 0
x = -3, x = 4
Hence, the values of x are -3 and 4.
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How to find the angle of a triangle given 3 sides and 1 right angle?
When the two sides and one angle of a triangle are given then we can find out the other two remaining angles by the law of sins.
Law of Sin :
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
According to the law of sine s
[tex]\frac{sina}{A}[/tex] = [tex]\frac{sin b}{B}[/tex]
[tex]\frac{sin90}{A}[/tex] = [tex]\frac{sin b}{B}[/tex] ( since it is given that one angle is 90 degrees)
[tex]\frac{1}{A}[/tex] =[tex]\frac{sin b }{B}[/tex]
sin b = B/A
b = [tex]sin^{-1}[/tex](B/A) where B and A are sides of the triangle and known values.
Remaining angle c = 180- [tex]sin^{-1}[/tex](B/A)
Therefore if one angle and at least two sides are given then we can find out the remaining by the law of sin
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Or what is the probability of rolling a five on the first die and a one on the second die?
0.25 is the probability of rolling a five on the first die and a one on the second die
How do you calculate probability?
Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen
Very interesting problem.
1 1
1 2
1 3
1 4
2 1
2 2
2 3
2 4
3 1
3 2
3 3
3 4
4 1
4 2
4 3
4 4
There are 16 possible out comes
1 4
4 1
2 3
3 2
4 out of the 16 outcomes are possible
P(5) = 4/16 = 0.25
The theoretical out come would be 4 times
4/16 = 0.25
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what is the slope of the line that passes through (4,7) and has a y-intercept of 1?
Answer:
[tex]m=\frac{3}{2}[/tex]
Step-by-step explanation:
The x value of the y-intercept must be 0, so let
[tex](x_1,y_1)=(0,1)[/tex]
and
[tex](x_2,y_2)=(4,7)[/tex]
The slope of a line can be found with the following:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So,
[tex]m=\frac{(7)-(1)}{(4)-(0)}\\m=\frac{6}{4}\\m=\frac{3}{2}[/tex]
What is an example of a geometric series?
An example of geometric series is 2 + 6 + 18 + 54.
When a set of numbers follow a particular order, they are said to be in sequence.
A set of numbers are said to be in geometric sequence if the ratio between second and first term is same as the ratio between third and second term and so on. The geometric sequence is presented as
Sum of n terms = a, ar, ar², ar³, ......, arⁿ⁻¹, arⁿ.
where,
The first term is a.
Every two consecutive terms, r is the common ratio.
The number of terms is n.
When the numbers in geometric sequence are added together, it is called a geometric series. The geometric series is presented as
Sum of n terms = a + ar + ar² + ar³ + ...... + arⁿ⁻¹ + arⁿ.
where,
The first term is a.
Every two consecutive terms, r is the common ratio.
The number of terms is n.
Let us take an example.
The numbers 2, 6, 18, 54 are in geometric sequence because 6:2 = 18:6 = 54:18 and when we will write it as 2 + 6 + 18 + 54, it will become a geometric series.
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Determine whether the following sequence is an arithmetic or geometric progression.Give a reason for your answer.
100p,50p,25p,...
Answer: geometric
Step-by-step explanation:
the first number, 100, is divided by 2 to become 50, and the second number, 50, is divided by 2 to get 25 and so on
What is the quotient of 2.4 divided by 3?
0.8 is the quotient when 2.4 is divided by 3.
what is quotient?In the end, the quotient is what we obtain when we divide a number. A mathematical procedure called division involves separating objects into equal groups. The letter (÷) is used to symbolize it.
How to divide fractions?When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal. Finding the reciprocal of the second fraction and this can be obtained by reversing its numerator and denominator—is and then dividing the fractions. Multiply the two numerators after that. Multiply the two denominators after that, After that we need to simplify the fraction to its lowest form.
Mathematically quotient is defined by:
= 2.4 ÷ 3
=> 2.4/ 3
=>0.8
so 0.8 is the quotient when 2.4 is divided by 3
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What is (2x^2+6x−3) added
to (2x^3 −3x+2)?
To add the two expressions (2x^2+6x−3) and (2x^3 −3x+2), we need to combine like terms. Like terms are terms that have the same variable and exponent.
The two expressions have no like terms, so we can simply add them as follows:
(2x^2+6x−3) + (2x^3 −3x+2) = 2x^2 + 6x − 3 + 2x^3 − 3x + 2
= 2x^2 + 2x^3 + 6x − 3x − 3 + 2
= 2x^2 + 2x^3 + 3x − 3 + 2
= 2x^2 + 2x^3 + 3x − 1
The resulting expression is (2x^2 + 2x^3 + 3x − 1).
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Given equations: 2x^2+6x-3+2x^3-3x+2
= 2x^2+2x^3+6x-3x-3+2
=2x^3+2x^2+3x-1
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Answer question please
Answer:
u-41+u-40=u
2u-u=41+40
u=81
Without using table or calculator simplify √50-3√2(2√2-5)-5√3-2
-12
step by step:
√50-3√2(2√2-5) -5√32
= 5√2 -12+15√2-5(4)√2
= 5√2 -12+15√2-20√2
= -12
Maxime refait la tapisserie de son salon.
Il pose quatre quinzième du papier le premier jour,deux cinquième le deuxième jour et un sixième le troisième jour :a- il -fini?
Answer:
Step-by-step explanation:
Il est difficile de dire si Maxime a fini de refaire la tapisserie de son salon sans plus de contexte. Pour savoir s'il a fini, il faut connaître la surface totale de la tapisserie et combien de papier il a utilisé en tout. Si la surface de la tapisserie est suffisamment grande et que Maxime n'a pas utilisé assez de papier, il n'a pas fini. S'il a utilisé plus de papier que nécessaire, il a peut-être fini, mais il est possible qu'il ait fait des erreurs ou qu'il ait dû recommencer certains morceaux.
Pour savoir combien de papier Maxime a utilisé en tout, il faut ajouter les quantités de papier qu'il a utilisé chaque jour. Quatre quinzième représentent 4/15 de la surface totale de la tapisserie, deux cinquième représentent 2/5 de la surface totale de la tapisserie et un sixième représentent 1/6 de la surface totale de la tapisserie. Si vous ajoutez ces quantités, vous obtiendrez la quantité totale de papier utilisée par Maxime. Ensuite, vous pouvez comparer cette quantité à la surface totale de la tapisserie pour savoir s'il a fini ou non.
How many terms are there in the expression 5xy² 35xy²?
There are two terms in the given expression 5xy²+ 35xy².
What is meant by term?
Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.
What is an example of a term?
It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.
There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.
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7. the owner of the west end kwick fill gas station wishes to determine the proportion of customers who use a credit card or debit card to pay at the pump. he surveys 100 customers and finds that 80 paid at the pump. (a) calculate the sample proportion. what is the value of the population proportion? (b) develop a 95 percent confidence interval for the population proportion. (c) interpret your findings.
Therefore , the solution to this problem is confidence interval 95% is given by Z =1.96.
Confidence Interval: What is it?In frequentist statistics, a confidence interval is the range of estimates for an unknown quantity. 95% is the most frequent confidence level used when calculating confidence intervals, however 90% and 99% are also occasionally used.
a)85 out of 100 paid at the pump using credit card
Thus,
p = proportion of customers who paid at the pump using credit card
= 85/100
= 0.850
Estimated Value of the population proportion = 0.850
b)
Given:
p' = 0.85 ....... Sample Proportion
n = 100 ....... Sample Size
For 95% Confidence interval
α = 0.05, α/2 = 0.025
From z tables of Excel function
Z = [tex]\frac{p'-p}{\sqrt{p(1-p)/n} }[/tex]
we find the z value
z = (0.025) = 1.96
We take the positive value of z
Therefore , the solution to this problem is confidence interval 95% is given by Z =1.96.
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Solve this system of equations by graphing. First graph the equations, and then type the solution.
The solution of the system of equations:
2x - 3y = -12
y = (-5/3)x - 3
Is (-3, 2)
How to solve the system of equations?Here we have the following system of equations:
2x - 3y = -12
y = (-5/3)x - 3
To solve it graphically, we just need to graph the two lines and see where do they intersect. The graph of the system can be seen below.
We can see that the intersection is at the point (-3, 2), so that is the solution of the system.
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What is the relationship between the volumes of a pyramid and a prism If the pyramid and prism have the same base areas and heights?
The volumes of pyramid as well as a prism are always 1:3 Volume of prism if their bases and heights are the same.
Define relationship between the volumes of pyramid and prism?A pyramid is just a three-dimensional object that has faces made of triangles and a base made of polygons.
The base seems to be the bottom, while the faces are the sides. A two-dimensional form with straight sides is called a polygon.A prism is indeed a three-dimensional object having two identically shaped and sized polygonal bases and rectangular sides.
In the actual world, a cardboard box serves as an illustration of a prism. When a pyramid and a prism have bases and heights that are equivalent, the pyramid can fit inside the prism. In reality, when this is the situation, its pyramid occupies precisely one-third of the prism's volume.Thus, the volumes of a pyramid as well as a prism are always 1:3 Volume of prism if their bases and heights are the same.
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How do you write an equation in slope intercept form with one point and slope?
The equation of line passing through point (-1,0) and slope 4 in slope intercept is y = 4x + 4 .
The Slope Intercept form of the line is denoted as " y = mx + c " , c in y intercept and m is slope .
the slope of the line is given to be = 4 ;
and the line passes through the point (-1,0) ,
which can be represented as : 0 = (-1)(4) + c ,
0 = -4 + c .
On simplifying further ,
we get ;
c = 4 .
Substituting the values , we get equation as ⇒ y = 4x + 4 .
Therefore , the equation of line is y = 4x + 4 .
The given question is incomplete , the complete question is
How do you write an equation in slope intercept form with one point and slope ? the point is (-1,0) and slope is 4 .
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Calculate your pulse rate of your heart beats in 170 times in 2.5 minutes
The heart beats normally between 60 and 100 times per minute while at rest. Your heart beats far more quickly than usual if you have ventricular tachycardia, with many individuals reporting heart rates of 170 or more per minute.
What Is a heart rate of 170 normal during exercise?Your goal heart rate for moderate-intensity exercise should range between 64% to 76%1,2 of your maximum heart rate. Based on your age, you may determine your maximum heart rate. Subtract your age from 220 to determine your maximal age-related heart rate. For a 50-year-old, for instance, the predicted maximum age-related heart rate would be computed as 220 - 50 years = 170 beats per minute (bpm). The 64% and 76% levels would be:64% level: 170 x 0.64 = 109 bpm, and 76% level: 170 x 0.76 = 129 bpm
This demonstrates that a 50-year-old must maintain a heart rate between 109 and 129 bpm when engaging in moderate-intensity exercise.Your target heart rate for vigorous physical activity should range from 77% to 93%1,2 of your maximum heart rate. Use the same procedure as above to determine this range, replacing "64 and 76%" with "77 and 93%". For a 35-year-old, for instance, the predicted maximum age-related heart rate would be computed as 220 - 35 years = 185 beats per minute (bpm). The 77% and 93% levels would be:77% level: 185 x 0.77 = 142 bpm, and 93% level: 185 x 0.93 = 172 bpm
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Solve 6m + 3 = 51
Please write your answer with a clear explanation.
Answer:
subtract 3 from both sides
6m+3=51
6m+3-3=51-3
simplify
6m=48
divide both sides
6m/6 = 48/6
simplify
divide the numbers
m=8
solution.
M = 8
What is the median of 2 and 6?
The Median of 2 and 6 will be 4.
What is the Median?
The Median is a midpoint value in an ordered set of numbers, the median is a detailed descriptive statistic that distinguishes between the more significant and lesser halves of the group. The median value for a continuous probability distribution is one where a number has an equal chance of falling above or above it.
How to calculate the Median?
First, sort the numbers in the collection from lowest to highest in order to obtain the median (highest to lowest works just as well). Second, ascertain whether the set's elements are an odd or an even number. Third, there is always a middle point if the number of data points is odd; for example, in the set 1, 2, 3, 4, 5, it is 3. The median is the arithmetic mean of the two points closest to the midpoint in sets with an even number of members. For instance, in the set 1, 2, 3, 4, the median is between 2 and 3, therefore (2 + 3) / 2 = 2.5.
In our question two numbers are given 2 and 6, so the median must be between 2 and 6.
Using our concept, the median of this problem will be (2+6)/2= 4.
So, our final answer will be 4.
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The function f(x) = x² +16x - 36 can be factored into the form
ƒ(x) = (x + B) (x − C).
-
What are the values for B and C?
NOTE: Enter your answers as positive integer values.
B =
C=
Answer:
B=18 and C=2
Step-by-step explanation:
To find the possible factors of the function, recall that a*c must equal u*v and b must equal u+v:
So,
[tex]a=1\\b=16\\c=-36\\u=-2\\v=18[/tex]
[tex](1)(-36)=-36=(-2)(18)[/tex]
and
[tex]16=(-2)+(18)[/tex]
f(x) can then be rewritten as:
[tex]f(x)=x^2-2x+18x-36\\f(x)=(x^2-2x)+(18x-36)\\f(x)=x(x-2)+18(x-2)\\f(x)=(x+18)(x-2)[/tex]
So,
B=18 and C=2
A toilet paper roll is 16cm tall with a radius of 6cm. The inside cylinder is a hole. It has a diameter of 3cm. What is the surface area of the toilet paper roll?
The total surface area of the cylinder is 10635 cm-square
Given, the length of the toilet paper roll = 16 cm
The radius of the toilet paper roll = 6cm
The diameter of the inside roll = 3cm
So, the radius of inside cylinder = diameter/2 = 3/2 = 1.5 cm
We know that the formula for :
The total surface area of a cylinder = 2πrh (h+r)
Here, h = 16 cm
r1 = 6cm and r2 = 1.5 cm
Since there are two cylinders one cylinder inside another so here total surface area will be equal to :
2πr1h (h+r1) - 2πr2h (h+r2)
On calculating, Total surface area = 10635 cm-square
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What is the correct order of steps for copying angle ABC?
To duplicate angle ABC, draw a line segment, position the compass on point A, and then draw an arc that intersects the line segment. Next, position the compass on point B, and then draw a second arc that intersects the first arc at a point on the line segment. Finally, position the compass on the point where the two arcs intersect, but without changing the width, and draw a third arc that intersects the line segment.
What is an angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.
What are common instruments used to measure angles?Common instruments used to measure angles are:
1. Protractor
2.Compass
3.Digital Angle finder
4.Angle finder
5.Clinometer
6. Inclinometer
You can take the following actions to copy angle ABC:
Create a line segment that will serve as the foundation for the new angle you're going to create.
Draw an arc that crosses the line segment you produced in step 1 by positioning the compass on point A.
Draw a second arc that crosses the previous arc at a point on the line segment by setting the compass on point B.
Place the compass on the intersection of the two arcs without adjusting the compass's width, then create another arc that crosses the line segment.
Point D is where the second arc crosses the line segment. To finish the new angle, join points D and C.
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A hockey puck has a mass of 0.09 kg and is
at rest. A hockey player makes a shot,
exerting a constant force of 28.8 N on the
puck for 0.12 s. With what speed does it
head toward the goal?
Answer: 4.4 meters per second.
Step-by-step explanation:
To determine the speed of the puck, we can use the equation for calculating final velocity given an initial velocity of zero, a force applied for a certain amount of time, and the mass of the object. This equation is:
v = F * t / m
where v is the final velocity, F is the force applied, t is the time over which the force is applied, and m is the mass of the object.
In this case, the mass of the puck is 0.09 kg, the force applied is 28.8 N, and the time over which the force is applied is 0.12 s. Plugging these values into the equation above gives us:
v = 28.8 N * 0.12 s / 0.09 kg = 4.4 m/s
So, the puck will head toward the goal with a speed of approximately 4.4 meters per second.