Answer:
x = 8Step-by-step explanation:
If EC is a bisector of AC and CD, then AC is equal to CD.
Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;
3x+6 = 2x+14
subtract 6 from both sides
3x+6-6 = 2x+14-6
3x = 2x+8
subtract 2x from both sides
3x-2x = 2x+8-2x
x = 8
Hence the value of x is 8
Lana uses 0.2 pounds of peaches in each mini pie she makes. How many mini pies can she make with 2.50 pound of peaches?
Answer:
12.5 mini pies or 12 depending on what it asks for
Step-by-step explanation:
Divide 2.50 by 0.2 to get 12.5
The answer can also be 12 because some teachers want students to know that you can't really make half a pie. Whatever your teacher prefers.
Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775
Answer:
792, 784, 775, 675, 645, 434, 432, 415, 342, 324.
Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?
Answer:
-9
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formula to determine the perimeter of the ballroom
Answer:
2l+2w, 60+60+30+30
Step-by-step explanation:
2(length)+2(width)
The perimeter of the ballroom will be represented by 2l+2w, and 2( 60 + 30 ).
What is a perimeter?The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.
A quadrilateral with four right angles is a rectangle. As all of its angles are equal, it can alternatively be described as an equiangular quadrilateral or a parallelogram with a right angle.
Given that a ballroom is 60 ft long and 30 ft wide. The equation for the perimeter of the ballroom will be calculated as:-
Perimeter = 2 ( l + w)
Perimeter = 2 ( 60 + 30 )
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The circumference of a circle is 16Pi ft
Area of the circle: 64π ft²
Radius of circle: 8 ft
The circumference formula: C = d · π
We can plug in the values we know.
16π = d · π; We can cancel out the π, as it is on both sides.
d = 16ft; r = 8ft
The area formula: A = πr²
A = 64π ft²
In your notebook, draw ray OB between ray OA and OC. When you have finished, select the figure below that represents the figure you drew. (please help)
Answer:
I'm fairly certain the answer is A, The first one
explanation:
Ray OB is between rays OA and OC
A golfer earned the following scores over several rounds of golf: −3, 2, 0, −1, 2, −4. Jamar says these numbers can all be described as integers, while Sophia says they are whole numbers. Which student is correct? Explain how you know.
Answer:
Jamar is correct.
Step-by-step explanation:
The scores are as follows :
−3, 2, 0, −1, 2, −4.
These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.
Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.
It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....
proportional relationships
Answer:
relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
Step-by-step explanation:
What do the equations have in common? y = -2 x + -3 y = -2 x + -3
Answer:- the equation have -2x common.
which value is a solution to the inequality 2x-5<-12?
Answer:
x < -4
Step-by-step explanation:
2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4 and your answer!
Answer: x<7/2
Step-by-step explanation:
Step 1. You are moving the constant, 5, to the right-hand side and changing the sign from a - to a +. Your new inequality is 2x<-12+5.
Step 2. Calculate the sum. You are adding -12 and 5. This is what your new inequality looks like: 2x<-7.
Step 3 (final step). You will now divide both sides by 2, and you will get a final answer of x<-7/2.
Hope this helps!
Explain what is wrong with the following (3 - 5)(4) = 3(4) - 5
Answer:
the equation does not proove
Step-by-step explanation:
l.h.s
(3-5)(4)
12-20
-8
r.h.s
3(4)-5
12-5
7
therefore, l.h.s is not equal to r.h.s so the equation is wrong
When 8 is added to four times a number the result is 80 find the number
Answer:
18
Step-by-step explanation:
8+4x=80
4x=72
x=18
Check
8+4x=80
8+4(18)=80
8+72=80
80=80
The dot plot shows the number of touchdowns a football team scored in 10 games
Answer:
Step-by-step explanation:
5
If you flip a coin ten times and get tails three times; what is the experimental probability of getting heads?
Answer:
50 goes to 25 to 12.5 then 6.25%
Step-by-step explanation:
i hope i helped
3
Which expression is closest in value to 5.66?
Let's consider the standard and usually used value of irrational numbers given in the question.
It is asked to see which is closed to 5.66So, let's see the options:
A) GiveN:
[tex] \dfrac{\pi}{2} + \pi[/tex]
Let consider π = 3.14
[tex] \dfrac{3.14}{2} + 3.14[/tex]
[tex]1.57 + 3.14[/tex]
[tex]4.71 \: (approx.)[/tex]
B) GiveN:
[tex]2\pi - 1[/tex]
Here also, let's consider the value be 3.14
[tex]2 \times 3.14 - 1[/tex]
[tex]6.28 - 1[/tex]
[tex]5.28 \: (approx.)[/tex]
C) GiveN:
[tex]4 \sqrt{2} [/tex]
Let's consider the value of √2 be 1.414
[tex]4 \times 1.414[/tex]
[tex]5.6516 \: (approx.)[/tex]
D) GiveN:
[tex]8 - \sqrt{3} [/tex]
Let's consider the value of √3 be 1.732
[tex]8 - 1.732[/tex]
[tex]6.268 \: (approx.)[/tex]
So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.
So, Correct answer is C
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Is 8 3/5 greater than 8 6/7
Answer:
no
Step-by-step explanation:
Answer:
8 6/7 is greater than 8 3/5
Step-by-step explanation:
Step 1:
8 3/5 = 8 21/35
Step 2:
8 6/7 = 8 30/35
Answer:
8 6/7 is greater than 8 3/5
Hope This Helps :)
what is 9 times 12 Answer divided by 12 times 8 answer thats it
Answer:
1.125
Step-by-step explanation:
Multiply first
(9*12)/(12*8)
108/96
then divide
1.125
Answer:
72
Step-by-step explanation:
9 × 12 = 108
108 ÷ 12 × 8 = 72
The midpoint of AB is M(0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answer: (-2,-7)
Step-by-step explanation:
The coordinates of B is (-2, -7).
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]
Given:
Let the coordinates of B be (x, y).
We have to find the coordinates of B.
According to given question we have,
Then, (x + 2) / 2 = x-coordinate of M = 0.
So, x = -2.
(y + 1) / 2 = y-coordinate of M = -3.
So, y = -7.
Therefore, the coordinates of B is (-2, -7).
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How do you solve the equation -x/3=27
put these numbers -23, 2, 0.7, 5, 16,0, 3.89, -4 in sections of rational, irrational, whole numbers, and integers
Vocabulary Check:
Integers are numbers that are neither fractions nor decimals.
Rational numbers are numbers that can be written as a fraction, unlike irrational numbers. Whole numbers are counting numbers, including 0.
Integers = -23, 2, 3, 16, 0, -4
Whole Numbers = 0, 2, 3, 16
Rational = -23, 2, 0.7, 5, 16, 0, 3.89, -4
Irrational: None
If 2x=4(5−2x), then x =
Answer:
here's your answer
hope this helped you
please mark as the the brainliest(ㆁωㆁ)
Step-by-step explanation:
2x=4(5-2x)2x=20-8x2x+8x=2010x=20x=2A beverage company operates two factories. Their outputs are represented by these expressions, where b is the number of bottles produce
Factory A: 2b3 – 3b2 + b - 120
Factory B: 4b2 – 3b – 260
Which polynomial represents the company's total output?
A. 6b3 – 3b2 - 3b - 140
B. 2b3 - 7b2 + 4b + 140
C 2b3 + b2 - 2b - 380
D. 6b3 – 6b2 + b + 380
Answer:
C 2b3 + b2 - 2b - 380
Step-by-step explanation:
Given:
Factory A: 2b^3 – 3b^2 + b - 120
Factory B: 4b^2 – 3b – 260
The company's total output = factory A + factory B
= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)
= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260
Collect like terms
= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260
= 2b^3 + b^2 - 2b - 380
C. 2b^3 + b^2 - 2b - 380
Option C is the correct answer
Answer: C) 2b^3+b^2-2b-380
Step-by-step explanation:
I had this question on a recent test and got it right
Hope this helps! :)
Use the quadratic formula, x=−b±b2−4ac√2a, to solve the equation −2x2−6x+3=0. Match each step to the correct method for solving the equation.
Answer:
[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]
Step-by-step explanation:
We are given the equation:
[tex]-2x^2-6x+3=0[/tex]
And we want to solve it using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
First, let's identify our coefficients.
The a is the coefficient in front of the x² term, so a = -2.
b is the coefficient in from of the x term, so b = -6.
And c is the constant so c = 3.
Substitute:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}[/tex]
Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:
[tex]\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}[/tex]
Add:
[tex]\displaystyle x=\frac{6\pm \sqrt{60}}{-4}[/tex]
Simplify the square root:
[tex]\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}[/tex]
So:
[tex]\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}[/tex]
Simplify by dividing everything by 2:
[tex]\displaystyle x=\frac{3\pm \sqrt{15}}{-2}[/tex]
Move the negative in the denominator to the numerator. The plus/minus sign will not change.
[tex]\displaystyle x=\frac{-3\pm \sqrt{15}}{2}[/tex]
So, our zeros are:
[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]
a/b=c for b helpp!! please
A / b = c
Multiply both sides by b
A = bc
Divide both sides by c
A / c = b
Sara received 73 votes, Ben received 23 fewer than Sara. How many students voted? How many votes did Ben receive?
6.6 as a mixed number
The frequency table shows the results of tossing a number cube 50 times. Which statement
is reasonable, based on the data?
Answer:
Option (1) is the correct option.
Step-by-step explanation:
From the given frequency table,
Option (1).
Tossing an even number is more likely than tossing an odd number.
Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9
Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7
Which shows frequencies of tossing even numbers are more.
Therefore, Option (1) is correct.
Option (2)
The number 2 will be the next number tossed.
Since it is unpredictable, therefore, this option is incorrect.
Option (3)
Number 4 is half as likely to be tossed as the number 3.
Frequency of tossing number 3 = 6
Frequency of tossing 4 = 10
Frequency of tossing 3 is not the half of tossing 4.
Therefore, Option (3) is incorrect.
Option (4)
Probability of tossing the number 2 = [tex]\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}[/tex]
= [tex]\frac{10}{8+10+6+10+7+9}[/tex]
= [tex]\frac{10}{50}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, option (4) is incorrect.
the gravitational attraction between two masses varies inversely as the square of the distance between them. if the attraction force between them is 75lbs when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart
Answer:
33 1/3 lb
Step-by-step explanation:
When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:
(75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb
At 12 feet apart, the attraction force is 33 1/3 pounds.
Lisa's age is 4 years older than three times Sammy's age. Lisa is 28 years old. Let s represent Sammy's age. Which equation can be used to solve for Sammy's age?
Answer:
24
Step-by-step explanation:
let Sammy's age be x and Lisa y
since Lisa is 4years older than Sammy
y=x+4
28-4=y
y=24
the difference of -9 and -6?
Answer:
15
Step-by-step explanation:
-9+9=0+6
9+6=15
That is the answer i think so