Answer:
1) THE TOTAL NUMBER OF MARKS TELLS YOU THE SIZE OF THE DATA SET.
2)hISTOGRAM
:)
Step-by-step explanation:
Which sum or difference is modeled by the algebra tiles?
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
what is expression ?It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.
given
To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2
Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6
Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2
Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4
= 2x2 + 2x + 2
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
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The complete question is:-
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2
B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2
C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2
D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2
Find the equation of a line that passes through the points (-4,-3) and (4,-1)
Answer:
y=x/4 - 2
Step-by-step explanation:
First, find the slope:
m=(y2-y1)/(x2-x1) ==> slope formula where m=slope
(x1, y1), (x2, y2) ==> (x1=-4, y1=-3) and (x2=4, y2=-1)
Now plug in known values back into the slope formula:
m=(-1-(-3))/(4-(-4))
m=(-1+3)/(4+4)
m=2/8 ==> simplify
m=1/4
y=mx+b ==> slope-intercept equaiton form
-1=(1/4)(4)+b ==> plug in the slope, m=1/4, and a known coordinate: (4,-1)
-1=1+b ==> simplify
-1-1=1-1+b ==> solve for b
b=-2
y=(1/4)x+(-2) ==> plug in b=-2 and m=1/4 back into y=mx+b
y=x/4 - 2
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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which equation shown below shows a linear relationship between x and y ?
Answer:
Its probably a because the ones with squared results in a u shape
Question 3 (Essay Worth 10 points)
(07.03 MC)
An equation is shown below:
6(2x - 11) + 15 = 3x + 12
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Answer:
Part A: First you distribute the 6(2x-11) and simplify. Then, you get the variables on the same side by subtracting 3x. Next, you do inverse operations by adding 51 to both sides and dividing 9 from both sides
Part B: x=7
Step-by-step explanation:
First thing you should do is distribute out the 6(2x-11) to get 12x-66+15=3x+12. then you simplify to get 12x-51=3x+12. Next you need to get both variable on the same side so just to keep positive number to make it easier you will subtract 3x from both sides to get 9x-51=12. now it is simple algebra where you add 51 to both sides of the equation to get 9x=63. Finally, you divide both sides by 9 to get x=7
Three candy bars and one soda costs $5.63.
At the same price, one candy bar and four sodas
cost $4.81. How much does a candy bar cost?
The cost of a candy bar is equal to $1.61.
How to determine the cost of a candy bar?In order to write an equation that model this situation, we would assign variables to the cost of candy bars and the cost of soda respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the cost of candy bars.Let the variable y represent the cost of soda.Next, we would translate the word problem into an algebraic equation based on the fact that three (3) candy bars and one (1) soda costs $5.63 as follows;
3x + y = 5.63 ...equation 1.
Additionally, one candy bar and four sodas cost $4.81 at the same price;
x + 4y = 4.81 ...equation 2.
x + 4(5.63 - 3x) = 4.81
x + 22.52 - 12x = 4.81
11x = 22.52 - 4.81
x = 17.71/11
x = $1.61
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A club has 20 women and 17 men and needs to form a committee of six members. How many committees are possible if the committee must have at least two men?
Answer:
2,022,456 committees
Step-by-step explanation:
From the above question, we are given the following information:
Number of women = 20
Number of men = 17
In order to form a committee of six members with at least 2 men, the number of ways we can do this is 5 ways and they are:
a) A committee of 6 men
b) A committee of 5 men and 1 woman
c) A committee of 4 men and 2 women
d) A committee of 3 men and 3 women
e) A committee of 2 men and 4 women
To solve for this we use the combination formula which is given as:
C(n, r) = nCr = n!/r!(n - r)!
Hence, the number of committees that are possible if the committee must have at least two men is calculated as
A committee of 6 men or A committee of 5 men and 1 woman or A committee of 4 men and 2 women or A committee of 3 men and 3 women or A committee of 2 men and 4 women
=[C(17, 6)]+ [C(17,5) × C(20,1)] + [C(17,4) × C(20,2)] + [C(17,3) × C(20,3)] + [C(17,2) × C(20,4)]
= [17!/6!(17 - 6)!] + [17!/5!(17 - 5)! × 20!/1!(20 - 1)!] + [17!/4!(17 - 4)! × 20!/2!(20 - 2)!] + [17!/3!(17 - 3)! × 20!/3!(20 - 3)!] + [17!/2!(17 - 2)! × 20!/4!(20 - 4)!]
= [12376] + [ 6188 × 20] + [2380 × 190] + [680 × 1140] + [ 136 ×4845]
= 2,022,456 committees
7. Sydney cleans her room for 45 minutes. 'She starts at 11:13 a.m. What time does Sydney finish cleaning her room?
Answer:11:58 duh
Step-by-step explanation I can count
Answer:
SYDNEY FINISH CLEANING HER ROOM AT 11:58 a.m.
Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.
The only possible value of "a" that satisfies the given equations is a = 5.
The possible values of "a" that satisfy the given equations, let's solve the system of equations:
a + ab = 250 ---(1)
a - ab = -240 ---(2)
We can solve this system by using the method of substitution. Rearranging equation (2), we get:
a = ab - 240 ---(3)
Substituting equation (3) into equation (1), we have:
(ab - 240) + ab = 250
2ab - 240 = 250
2ab = 250 + 240
2ab = 490
ab = 490/2
ab = 245
Now we have the value of "ab."
We can substitute this back into equation (3) to solve for "a":
a = (245) - 240
a = 5
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If Efx =1050 and mean x =15 find the value of N
Answer:
your answer is 70.
Step-by-step explanation:
mean=Efx/n=1050/15=70
Shiva brought $52.75 to the art supply store. She bought a brush, a sketchbook, and a paint set.
The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint
set. Shiva had $4.00 left over after buying these items.
What was the cost of each item?
The brush cost $__
The sketchbook cost $__
The paint set cost $__
the paint set, sketchbook, brush price in turn are : 26 ; 19,5 ; 3,25$
Step-by-step explanation:
assume the price of the paint set is x($)
we have an equation
52,75-4= X + 3/4X +1/6×3/4X (4$ is the remaining amount after shiva bought these things above)
<=> X=26($)
Your total monthly bill (T
) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k
) you use, you are charged $0.25
and for each therm (t
) of gas used you are charged $0.97
.
Which of the following equations represents the relationship between electricity and gas used and your bill?
The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
Step-by-step explanation:
Make a plan:
We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).
T = 0.25 * k + 0.97 * t
Solve the problem:
1 - Write the Equation for the cost of Electricity:
0.25 * k
2 - Write the Equation for the Cost of Gas:
0.97 * t
3 - Combine the Equations to Represent the total Monthly Bill (T):
T = 0.25 * k + 0.97 * t
Draw the Conclusion:Hence, The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
I hope that helps!
Explain in words how you would graph the following inequality on a number line. 3x < 12 HELPPPPPPPPPPP PLSSSSSS
Answer:
x<4
Step-by-step explanation:
3x < 12
Divide with 3 on each side
x< 4
In words x has all the real numbers that are less than 4 or x belongs to any number from -ve infinity to 4.
The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
To graph the inequality 3x < 12 on a number line, we can follow these steps:
- Start by isolating x by dividing both sides of the inequality by 3, which gives us x < 4.
- Draw a number line and mark a point at 4, which is the boundary between the values of x that satisfy the inequality and those that don't.
- Since the inequality is strict (i.e., "less than" and not "less than or equal to"), we need to indicate that the point x = 4 is not included in the solution set.
We can do this by making an open circle (or "unfilled dot") at 4 on the number line.
- Shade the portion of the number line to the left of the point x = 4, since these are the values of x that satisfy the inequality 3x < 12.
We can use an arrow pointing to the left to indicate that the shaded region extends indefinitely in that direction.
Thus,
The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.
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What's the perimeter of rectangle DEFG, shown?
O A) 28
B) 34
C) 40
OD) 17
HELP JIMTHOMPSON5910
Explain what the diameter of a circle is. If you had the diameter of a circle, how could you solve for the circumference?
The diameter can be thought of as the width of the circle, more or less. More accurately, it's the distance from one point on a circle, through the center, to a point on the opposite side.
If we had a circle at point A, and some point on the edge of the circle point B, then line AB will form a third point C. Point C is on line AB and on the circle. Segment BC is a diameter.
We can measure the diameter with a straight line ruler, but we cannot do the same with the perimeter of the circle. The circumference is just a fancy name for "perimeter". Specifically, it only applies to circles. The way I remember it is that "circle" has "circ" in it, and so does "circumference". Furthermore, we can erase some letters of "circumference" to end up with "fence", which would go along an outer perimeter in a lot of cases. Overall, "circumference" makes me think of "circle fence".
How can we find the perimeter of a circle? Well we could use a cloth ruler to wrap around the edge of the circle. We'd have to make sure that none of the bendable ruler is out of place. So things could get tricky.
To find the circumference with a formula, we'll use this one here
C = pi*d
where pi = 3.14 approximately and d is the diameter
----------------------
For example, let's say the diameter is d = 10 feet. That would lead to a circle perimeter of....
C = pi*d
C = 3.14*10
C = 31.4
The circumference is approximate because pi = 3.14 is approximate. The units for the circumference in this case are in feet, so the distance around this particular circle is about 31.4 feet.
Which algebraic expression is equivalent to the expression below
5(4x + 5) - 17
A.
20x + 9
B.
5x + 9
C.
20x + 42
D.
20x + 8
Answer:
20x + 8
Step-by-step explanation:
5*4x + 5*5 -17
20x +25 -17
20x + 8
4.1 Determine the number that makes the following statement true. 53 - (a certain number) = 65 The certain number =
Answer: To find the certain number, we need to subtract 53 - 65:
53 - 65 = -12
Therefore, the certain number that makes the statement true is -12.
Step-by-step explanation:
What does it mean to say that a data point has a residual of 0?
A. The point lies above the regression line.
B. The point lies directly on the regression line.
C. The predicted value for that point is 0.
D. The point falls at the origin.
Hi!!!
B. the point lies directly on the regression line.
Hope this helped!
Have a good day:)
The point lies directly on the regression line.
Option B is the correct answer.
What is a regression line?A regression line is a straight line that represents the relationship between two variables in a scatter plot.
In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.
We have,
When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.
If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.
This can occur when the data point falls directly on the regression line, as in option B.
Thus,
The point lies directly on the regression line.
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y-9x=-6
Answer: y=3x-2
Step-by-step explanation:
3y-9x=-6
First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.
Answer:
This equation in slope intercept form would be y = 3x - 2
Step-by-step explanation:
The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3
So the answer is y = 3x - 2
when multplying negative exponents
You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
What is the sample space for one spin of this spinner?
OA. (RG, GP, PY, YR)
OB. (R, G, P, Y)
O C. (R, G, B, Y)
OD. (R, G, P, B, Y)
The sample space is (R, G, P, Y).(OB)
What is sample space?
A sample space is a collection of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”. A sample space may contain a finite number of outcomes which depends on the experiment.
You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
So here is 4 sections
Red(R), Green (G), Purple (P), Yellow(Y)
So there are 4 sections in sample space
The sample space for one spin of the spinner is (R, G, P, Y).
Hence, the sample space is (R, G, P, Y).
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4.50x +5.50x – 7.50x
Which expression is equivalent to the one shown above?
A.6.50x
B.3.50x
C. 2.50x
D.1.50x
Hey there!
4.50x + 5.50x - 7.50x
= 4.5x + 5.5x - 7.5x
= 10x - 7.5x
COMBINE the LIKE TERMS
= (10x - 7.5x)
= 10x - 7.5x
= 2.5x
≈ 2.50x
Therefore, your answer is: 2.50x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
WILL MAKE BRAINLIEST AND AS MUCH POINTS AS I CAN!!!!!
A) -2x+2=-8
-2 -2
-2x = -10
/-2 /-2
x = 5
C)3y-9+y=6
4y-9= 6
+9 +9
4y = 15
/4 /4
y = 3.75
D) 9-(2+(-3y)) = 6+2y-(5+y)
9-(2-3y) = 6+2y-(5+y)
9-(2-3y) : 3y+7
6+2y-(5+y) : y+1
3y+7 = y+1
-7 -7
3y = y-6
-y -y
2y = -6
/2 /2
y = -3
There is no real solution for B However we can set it to 0
B) 4x+x-2 = 2x+8+3x
group like terms and add similar elements
5x-2 = 5x+8
+2 +2
5x = 5x + 10
/5x / 5x
0 = 10
A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J, K, L, M, N, O, P, Q, R, S, and T). How many di erent choices of ocers are possible if: (a) There are no restrictions
Answer:
There are 220 choices
Step-by-step explanation:
Given
\(People = 12\)
\(Selection =3\) (President, Treasurer and Secretary)
Required
Determine number of selection (if no restriction)
This is calculated using the following combination formula:
\(^nC_r = \frac{n!}{(n - r)!r!}\)
Where
\(n = 12\)
\(r= 3\)
So, we have:
\(^nC_r = \frac{n!}{(n - r)!r!}\)
\(^{12}C_3 = \frac{12!}{(12 - 3)!3!}\)
\(^{12}C_3 = \frac{12!}{9!3!}\)
\(^{12}C_3 = \frac{12*11*10*9!}{9!3!}\)
\(^{12}C_3 = \frac{12*11*10}{3!}\)
\(^{12}C_3 = \frac{12*11*10}{3*2*1}\)
\(^{12}C_3 = \frac{12*11*10}{6}\)
\(^{12}C_3 = 2*11*10\)
\(^{12}C_3 = 220\ ways\)
There are 220 choices
Ten times the number of balloons is 120. (Use b as your variable.) *
Can someone one help me please thank you
Answer:
10b=120
Step-by-step explanation:
b=12
What is the mathematical expressions : the quotient of a number and six is equal to eighteen
Answer:
The mathematical expressions is \(\mathbf{\frac{x}{6}=18}\)
Step-by-step explanation:
We need to write mathematical expressions of:
the quotient of a number and six is equal to eighteen
Let the number is x
The mathematical expression is:
\(\mathbf{\frac{x}{6}=18}\)
We can solve the expression to find value of x
\(\frac{x}{6}=18\\x=18*6\\x=108\)
So, the number is 108
Which equation has the same solution set as (x - 3)² = 0 ?
-2x²-18
x²-9=0
x² + 6x = -9
12x -18=2x²
Answer:
x^2 - 9 = 0
Step-by-step explanation:
its right one.......
What is the missing reason in the proof?
Is the figure line symmetric?
If yes, how many lines of symmetry does the figure have?
Snow flake
A.
No
B.
Yes; 3 lines of symmetry
C.
Yes; 6 lines of symmetry
D.
Yes; 12 lines of symmetry
The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.
How many lines of symmetry does a snowflake have ?Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.
So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided
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Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?
If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.
Answer:
52 pages
Step-by-step explanation:
Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.
52 pages times 1 hour equals 52 pages.
52 x 1 = 52