Answer:
a common factor 4 and 6 have is 12. we can change this to get it to 12.
¼->3/12
⅚-> 10/12
add the new fractions together
3/12+10/12=13/12 or 1 and 1/12
The required answer is 1 1/12 as a mixed number when adding the fraction 1/4 + 5/6.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The fractions are given in the question
1/4 and 5/6
We have to determine the addition operation,
⇒ 1/4 + 5/6
Take the LCM in the terms of fractions
⇒ 13/12
Convert the fraction to a mixed number by using long division to find the quotient and remainder
⇒ 13 ÷ 12 = 1 R1
The quotient will be the whole number in the fraction, and the remainder will be the numerator in the mixed number
⇒ 1 1/12
Therefore, the required answer is 1 1/12 as a mixed number.
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An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is
A) x = -3/2
B) x = 0
C) x = 3/2
D) X = 3
E) X = 6
Help please with steps
Answer:
[tex]x = 0[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,0)[/tex]
[tex](x_2,y_2) = (-3,0)[/tex]
Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints
[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]
[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]
[tex](x,y) = 0.5(0, 0)[/tex]
Open bracket
[tex](x,y) = (0.5*0, 0.5*0)[/tex]
[tex](x,y) = (0, 0)[/tex]
Next, determine the slope of the given endpoints.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{0 - 0}{-3- 3}[/tex]
[tex]m = \frac{0}{-6}[/tex]
[tex]m = 0[/tex]
Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:
[tex]m_2 = -\frac{1}{m_1}[/tex]
In this case:
[tex]m = m_1 = 0[/tex]
So:
[tex]m_2 = -\frac{1}{0}[/tex]
[tex]m_2 = unde\ fined[/tex]
Since the slope is [tex]unde\ fined[/tex], the equation is:
[tex]x = a[/tex]
Where:
[tex](x,y) = (a,b)[/tex]
Recall that:
[tex](x,y) = (0, 0)[/tex]
So:
[tex]a = 0[/tex]
Hence, the equation is:
[tex]x = 0[/tex]
Find the distance between the given points. Round to the nearest tenth. 2,2 and -1,4
Answer:
2
Step-by-step explanation:
10^(4x−1)=2^5 round the answer to the nearest tenth
HELP!
Abc is a right angle decomposed into 2 non overlapping angles. Abd and dbc. What kind of angle is dbc
Answer:
The answer is "[tex]m \angle ABD = 45^{\circ} \ \ and \ \ m \angle DBC = 45^{\circ}\\\\[/tex]"
Step-by-step explanation:
In this question, the adjacent angles aren't overlapping, and that they have the shared widely and have the common side. There ABC does have the correct angle, which includes two not overlapping ABD and DBC angles with such a joint B vertex and BD lines. Now it is constructed. Thus both angles are not overlapping:
[tex]m \angle ABD = 45^{\circ}\\\\m \angle DBC = 45^{\circ}\\\\or \ \ \text{the angles will may be} \\\\m \angle ABD = 35^{\circ}\\\\m \angle DBC = 55^{\circ}\\\\[/tex]
help with math thanks so much!!!!
Answer:
0.2
Step-by-step explanation:
14/10÷x=7
14/10=7x
1.4±7=x
x=0.2
Is -1/16 a rational number?
Answer:
yes ‐1/16 is rational number
solution ‐1/16=‐16
and every integer is a rational number
What is the area of the figure? I give brainliest and thanks! :)
Answer:
ok I would give answer that is 85.5mi^2
Please read the question and answer if you can 6th grade
Answer:
112 in
Step-by-step explanation:
14 x 8 = 112
Objects moving at the same speed always have the same velocity.
A: False
B: True
Answer:
A: False
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Velocity is the rate at which an object moves and which way it is going, while speed is just the rate.
The table shows the number of pages Michael read and the number of hours he read each day.
Answer:
i love fishing!
Step-by-step explanation:
The graph of a line has a slope of 2 and passes through the point (–6, –5). What is the equation of the line in point-slope form?
y – 5 = 2(x – 6)
y + 5 = 2(x + 6)
y – 6 = 2(x – 5)
y + 6 = 2(x + 5)
Answer:
it would be
B. y + 5 = 2(x + 6)
if there is a negative number and you are subtracting it turns positive
Step-by-step explanation:
A triangle is shown
A
(2х - 10)
B
(3x)
(4х + 46),
с
Part A: What is the value of x, in degrees?
13.8
ОООО
Answer:
x = 16
Step-by-step explanation:
First add all of your angles together to get:
9x + 36
Then set that equal to 180:
9x + 36 = 180
Now solve Algebraically:
Subtract 36 from both sides:
9x = 144
Then divide by 9:
x = 16
The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.
Harmony thinks 448 is the solution to the equation 8b=56. is harmony correct? explain why or why not.
pls answer quickly my assignment is due tonight
The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
8b = 56
Simplify the equation, then we have
8b = 56
b = 56 / 8
b = 7
The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.
More about the solution of the equation link is given below.
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( 25 points because nobody is answering it!!!!!!! ive posted this question like 4 other timesssss)
During an experiment, the temperature of a liquid increased 6 degrees in 30 minutes. The temperature increased at a steady rate.
By how much did the temperature increase every minute?
Answer:
0.2
Step-by-step explanation:
[tex]\frac{6}{30} =\frac{x}{1} \\\\30x=6\\\\x=\frac{6}{30} \\\\x=\frac{1}{5}[/tex]
1/5 = 0.2
Answer:
the temperature increase is 0.2 degrees per minute
Step-by-step explanation:
A 5-foot tall student stands 15 feet from a flagpole. The student
casts a shadow 6 feet long which ends at exactly the same point
as the shadow of the flagpole.
How many feet tall is the flagpole, to the nearest tenth of a foot?
Answer:
17.5 ft
Step-by-step explanation:
Draw a picture as shown in the attached image. From the image, you can see that a proportion can be set up comparing the height of the flagpole and student to their respective shadows. Once you set up the proportion, solve to get the height of the flagpole.
What is the complete factorization of 36y2 − 1?
A. 6(y + 1)(y − 1)
B. (6y + 1)(6y − 1)
C. (6y − 1)2
D. (y − 6)(y + 6)
Answer:
(6y+1)(6y-1)
Step-by-step explanation:
Difference of square (You may want to search it up if you want to learn more)
Sebastian mixed 2 cups of red paint with 7 cups of blue paint to make his favorite shade of purple. Which ratio of red to blue paint will make the same shade of purple?
Answer:
10:35 is the ratio
Step-by-step explanation:
2 x 5 = 10
7 x 5 = 35
5. During the day a person consumes 360 calories from fruit. How many calories does this person consume in their daily diet? *
PLEASE HELP
A. 1,600
B. 2,300
C. 2,400
D. 2,600
Answer:
I believe that it is C.
Step-by-step explanation:
360x0.15 = 24, 15% is from the given chart...
I am not 100% sure, but I do think that this is right.
The solution is : The weight of an individual who consumes 1,370 calories per day is 137 pound.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given:
1,050 calories should be consumed daily for a 105-pound person.
Now, to get the weight of an individual who consumes 1,370 calories per day.
If 1,050 calories should be consumed per day for = 105-pound person.
So, 1 calorie should be consumed per day for =105/1050
=1/10
Then, 1,370 calories consumed per day for weight of =1370/10
= 137 pounds
Therefore, the weight of an individual who consumes 1,370 calories per day is 137 pound.
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complete question:
The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,050 calories should be consumed daily for a 105-pound person, what is the weight of an individual who consumes 1,370 calories per day?
13. Describe and correct the error in finding the product.
X (x – 5)² = x² – 52
= x2 - 25
Answer:
Answer:
x=−1.27794
Step-by-step explanation:
x(x−5)2=x2−52
x3−10x2+25x=x2−52
Step 1: Subtract x^2-52 from both sides.
x3−10x2+25x−(x2−52)=x2−52−(x2−52)
x3−11x2+25x+52=0
Step 2: Use cubic formula.
x=−1.27794
Hope it helps +_+
One Step Equations
-104=8x
Please show your work, thank you.
Answer:
= − 1 3
Step-by-step explanation:
8x/8 = -104/8
Brainliest?
The sum of three consecutive integers is -126. What are the integers?
Answer:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. So its, 3x+6=108.
What
5. A circular fish pond is shown below. What
is the circumference of the pond?
31 m
Answer:
B) 194.7 m
Step-by-step explanation:
You use the radius value in the formula 2(pi)r.
2(pi)31 = 194.7
How many triangles can be constructed with angles measuring 110°, 50°, and 20°?
0
1
more than one
9514 1404 393
Answer:
(c) more than one
Step-by-step explanation:
The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...
more than one
Can someone please help I can’t figure this out :(
Answer:
78
Step-by-step explanation:
Help me
And Do not trust people that share links these people hack and put viruses into your phone/computer’s
DO NOT TRUST THESE LINKS
what is the measure of the missing angle?
11. The cost of oranges at a local grocery store is shown in the table below.
Number of
Oranges
3
7
10
12
Total Cost
$1.26
$2.94
$4.20
$5.04
Which of the following represents the unit rate for the oranges?
O A. $1.68 for 1 orange
OB. $0.84 for 1 orange
O C. $1.26 for 1 orange
O D. $0.42 for 1 orange
Answer:
D. $0.42 for 1 orange
Step-by-step explanation:
Divide the number of oranges by the corresponding total cost.
Ex. 5.04 ÷ 12 = 0.42
Answer: 0.42
Step-by-step explanation: 0.42+0.42+0.42= 1.26
What is the value of x?
(Only type the numerical value. Do not type x= before your answer)
Answer:
Step-by-step explanation:
study lol
If m∠DEF = (5x−8)°. Which equation would you use to find the value of x?
5x−8=20
5x-8=360
5x-8=90
5x-8=180
Answer:
5x-8=90
Step-by-step explanation:
Thale’s Theorem
5x-8=90
Which of the following exam scores should lead to the better grade? Explain your answer. (4 points)
A score of X = 55 on an exam that has a mean of 60 and a standard deviation of 5.
B. A score of X = 40 on an exam that has a mean of 50 and a standard deviation of 20.
The lower z-score in scenario B suggests that the score of 40 on the exam with a mean of 50 and a standard deviation of 20 should lead to a better grade compared to the score of 55 on the exam with a mean of 60 and a standard deviation of 5. Option B.
To determine which exam score should lead to the better grade, we need to compare the scores relative to their respective mean and standard deviation.
In scenario A, we have a score of X = 55 on an exam with a mean of 60 and a standard deviation of 5.
In scenario B, we have a score of X = 40 on an exam with a mean of 50 and a standard deviation of 20.
To compare the scores, we can use a statistical measure known as the z-score, which indicates how many standard deviations a particular value is from the mean. The z-score formula is calculated as:
z = (X - mean) / standard deviation
Calculating the z-scores for each scenario:
For scenario A:
z = (55 - 60) / 5
z = -1
For scenario B:
z = (40 - 50) / 20
z = -0.5
The z-score represents the number of standard deviations below or above the mean a score is. In this case, a lower z-score indicates a better performance relative to the mean.
Comparing the z-scores, we can see that scenario A has a z-score of -1, while scenario B has a z-score of -0.5. Therefore, scenario B with a score of X = 40 leads to the better grade.
In scenario B, the score of 40 is closer to the mean of 50 and has a smaller deviation from the mean compared to scenario A. This indicates that the score in scenario B is relatively better than the score in scenario A when compared to their respective distributions. Option B is correct.
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