Answers
Answer:
AB=45
Step-by-step explanation:
This is an isosceles triangle meaning AB and AC are congruent.
4x+1=2x+23
2x+1=23
2x=22
x=11
4(11)+1
44+1
45
Related Questions
Here is the histogram of a data distribution. All class widths are 1. Which of the following numbers is closest to the mean of this distribution?
A. 5
B. 2
C. 3
D. 4
E. 10
Answers
On solving the given problem, The value of the median of the distribution is closest to 5.
The median is what?In order to visualize data, a histogram is used. The width and area of each rectangle in the histogram are proportional to the class interval and data frequency, respectively.
When a dataset is sorted in either ascending or descending order, the median is the value that appears in the middle of the dataset.
Ascending numbers are listed in the following order:
2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9
Median is - 5
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Four more than twice the sum of a number and three is negative 5
Answers
Answer: It is A
Step-by-step explanation:
a football team lost the same number of yards on each of three consecutive plays what is the total change in yards from where the team started
Answers
Answer:
-3x, where x is the number of yards lost on the first play.
Step-by-step explanation:
2 websites sell the same type of headphone cost of headphone in website A is 49.95 and the postage is 4.39. The headphones in website B is 47.68 and the postage is 6.95. Including the postage which website is cheaper and by how much
Answers
Answer:
Website A is cheaper by 29 cents
Step-by-step explanation:
A
49.95 + 4.39 = 54.34
B
47.68 + 6.95 = 54.63
54.63 - 54.34 = 0.29
Answer:
the difference is 0.29 cents
website A is cheaper
Step-by-step explanation:
(47.68 + 6.95) - (49.95 + 4.39)
54.63 - 54.34 = 0.29
One morning after sunrise, Kimberly was standing facing a pole. The shadow of the pole fell exactly to her right. Which direction was she facing? a. North b. South c. West d. East
Answers
South direction was she facing.
What does the word "direction" mean?
Direction can refer to the way something moves, the way you must go to get somewhere, the way something is beginning to take shape, or the direction you are facing.
When you turn right rather than left, that is an illustration of direction.
Which forms of direction are there?
There are only four genuine directions north, south, east, and west. Northeast, Southeast, Southwest, and Northwest are the directions on the compass that are located midway between these cardinal points.
These transitional locations are referred to as intermediate directions. Maps and globes only display east-west and north-south lines.
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The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4. 5 feet long. What is the height of the tree?
Answers
By using unitary method, it can be calculated that Height of the tree is 30 feet
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
This is a problem on unitary method
A shadow of 4.5 feet long is casted by my friend 5 feet tall
A shadow of 1 feet is casted by an object of height [tex]\frac{5}{4.5} \ feet[/tex]
A shadow of 27 feet is casted by a tree of height [tex]\frac{5}{4.5}\times 27 \ feet[/tex]
A shadow of 27 feet is casted by a tree of height 30 feet
Height of the tree is 30 feet
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Gianna can wash 6 cars in 2 hours. At this rate, how many cars can Gianna wash in 5 hours?
Answers
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
What is unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given question:
Gianna can wash 6 cars in 2 hours
Therefore, in 1 hour she can wash 6/2 cars which is 3 cars.
Gianna's rate of washing cars is 3 cars per hour
Hence by unitary method, Gianna at this rate can washes 5 x 3 cars that is 15 cars.
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
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The pink figure is a dilation image of the black figure. The labeled point is the center of dilation. Tell whether the dilation is an enlargement or reduction. Then find the scale factor of the dilation.
Answers
Clearly, it is a reduction with scale factor 2
The rightmost line of the black figure has 8 units and pink has 4 units similarly the first horizontal link of black has 4 while pink has 2 units. By labeling the sides of both figures and finding the ratio of the sides of the black figure to the pink figure is 2 so it is deduced that the scale factor is 2 and its reduction as black figure is an enlargement of pink.
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The pink figure is a dilation image of the black figure. The labeled point is the center of dilation. The dilation is a reduction with scale factor 2.
In mathematics, what is dilation?In mathematics, dilation means Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though.
The rightmost line of the black figure has 8 units and pink has 4 units similarly the first horizontal link of black has 4 while pink has 2 units. By labeling the sides of both figures and finding the ratio of the sides of the black figure to the pink figure is 2 so it is deduced that the scale factor is 2 and its reduction as black figure is an enlargement of pink.
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Melissa is planning to rent out a limo for her friends and herself for prom. Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile traveled. If Melissa aid the limousine driver $200 for prom, how many miles did she travel that night?
Answers
The number of miles Melissa travelled that night is approximately 667 miles.
How to find the distance travelled by Melissa?Melissa is planning to rent out a limo for her friends and herself for prom.
Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile travelled.
Melissa aid the limousines driver $200 for prom. The number of miles she travel can be calculated as follows;
using equation,
y = 450 + 0.3x
where
x = number of miles travelledy = total costTherefore,
200 + 450 = 450 + 0.3x
650 = 450 + 0.3x
650 - 450 = 0.3x
200 = 0.3x
x = 200 / 0.3
x = 666.666666667
x = 667 miles
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57,624 divided by 46 and I have to show my work
Answers
Answer: 122 12/46 OR 122 R 12 OR 1252.69565
Step-by-step explanation:
Give a number in the form of a/b o that when it i divided by 100, the reult would be 0. 014 (write in fraction in reduce form)
Answers
The reduced form of the fraction would be 2.8/2.
What is a fraction?
A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.
Given that a/b is a fraction and when it is divided by 100 it will result in 0.014.
So we can write,
[tex]\frac{\frac{a}{b} }{100}=0.014\\\\ \frac{a}{b}=0.014*100\\\\\frac{a}{b}=1.4\\[/tex]
Now 1.4 can be written as
a/b = 2.8/2
Hence, the reduced form of the fraction would be 2.8/2.
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2(x-4 1/2)=-6.1 hellllllppppp meeeee
Answers
Answer:
[tex]x=1.45[/tex]
Step-by-step explanation:
[tex]2\left(x-4 \frac{1}{2} \right)=-6.1 \\ \\ 2\left(x-\frac{9}{2} \right)=-6.1 \\ \\ 2x-9=-6.1 \\ \\ 2x=2.9 \\ \\ x=1.45[/tex]
The maintenance department of a manufacturing company is a(n)
A. investment center.
B. segment.
C. cost center.
D. profit center.
Answers
The maintenance department of a manufacturing company is a cost center that generates costs and indirectly contributes to sales. A cost center is an area or department that does not contribute significantly to direct sales. Production company maintenance centers support the operation and operations of factories and offices. Since there is no direct revenue, maintenance centers are considered cost centers for production operations.
The explanation for incorrect answers:
Option A: This option is incorrect because the maintenance department does not provide a core return on investment.
Option B: A business segment is a department identified by another product, service, or geographic area, so the maintenance department does not qualify as a segment.
Option D: A profit center is a center that directly generates revenue, like a sales department.
Factor the expression completely over the complex numbers. Y^4+14y^2+49
the answer is ((y+i√7)(y-i√7))^2
Am I right
Answers
Factors over the complex numbers for the given expression y⁴ + 14y² + 49 is equal to [ ( y + i√7) (y - i√7 ) ]² .
As given in the question,
Given expression is :
y⁴ + 14y² + 49
Simplify the given expression to get the factors of it , we get ,
y⁴ + 14y² + 49
= y⁴ + 2 ( 7 )y² + ( 7 )²
= ( y² + 7 )²
Now convert the factors into complex numbers ,
= [ y² - (-1)(√7)²]²
We know that ( -1 ) = i²
= [ y² - ( i√7)² ]²
= [ ( y - i√7 )( y + i√7) ]²
Therefore, the complex numbers factors of the given expression is equal to [ ( y - i√7 )( y + i√7) ]².
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y>4x-3
What are three solutions for the inequality?
*Remember solutions are found in the shaded area or on a solid line (points on a dashed line are not a solution).
Answers
The three points which correctly represents a solution to the given inequality are;
1. (1, 2)2. (1, 3)3. (1, 4)What are three points which correctly represents a solution to the given inequality?It follows from the task content that the points which are solutions to the given inequality bare to be determined.
Since the given inequality as in the task content is; y > 4 x - 3.
By evaluating the inequality at one x-value of x = 1.
We have ;
y > 4 ( 1 ) - 3
y > 4 - 3
y > 1.
Therefore, the possible values of y which are greater than 1 are; 2, 3, and 4.
On this note, it is correct to conclude that the points which are solutions to the given inequality are; ( 1, 2 ), ( 1, 3 ) and ( 1, 4 ).
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Janell bought 2 __ 3 4 pounds of peaches and 3 __ 5 8 pounds of oranges. How many pounds of fruit did Janell buy?
Answers
Answer: 6 and 3/8
Step-by-step explanation:
2 3/4 + 3 5/8=?
Find LCM of the 2 numbers
LCM is 8
Multiply 2 to 3/4 in 2 3/4
2 6/8 + 3 5/8
Add whole numbers
2 + 3 = 5
Add the fractions itself
6/8 + 5/8 = 11/8
11/8 = 1 3/8
Combine whole numbers and fractions
5 + 1 + 3/8
6 3/8
A shopping mall has 226 stores on 4 levels. Each level of the mall has about the same number of stores. Which of the following are reasonable estimates for the number of stores on each level
Answers
The number of stores in each level of the shopping mall are 56 stores.
How to solve an equation?An equation is an expression that can be used to show the relationship between variables and numbers. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
Let x represent the number of stores on each level.
A shopping mall has 226 stores on 4 levels. If there are same number of stores in each level:
(4 × x) = 226
4x = 226
Divide
x = 226 / 4
x = 56.5
There are about 56 stores per level.
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Help please help help please help help me
Answers
Answer:
103
Step-by-step explanation:
angle 1 and angle 5 are the same as each other.
Write an inequality that could be used to represent all solutions for x: the quotient of a number and three minus twelve is less than 12
Answers
We can write the given statement as inequality as -
-(x/9) < 12
What is linear inequality? What is the law of Reversal and law of Trichotomy? What is the general equation of a Straight line?Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.
y > mx + cy < mx + cy ≥ mx + cy ≤ mx + cReversal property : If (a > b) then (b < a) and if (a < b) then (b > a).
Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).
The general equation of a straight line is y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the following statement -
"the quotient of a number and three minus twelve is less than 12".
We can write the inequality as -
-(x/9) < 12
Therefore, we can write the given statement as inequality as -
-(x/9) < 12
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The length of a
rectangular garden is
three feet less than twice
its width. If the perimeter
of the garden is 42 feet,
what is its length?
Systems word problems
Answers
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
If you roll a standard six-sided die a thousand times and add up the total number of pips, which approximate sum could you reasonably expect to end with?
Answers
1) 16.7% probability of rolling 10+.
2) 50% probability an odd number is rolled.
3) 7 is the most likely total result.
These are all the possible outcomes:
(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)
(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)
(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)
(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)
(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)
(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)
There are 36 possible outcomes
1) what is the probability of rolling 10+?
There are 6 possible outcomes in which 10+ is rolled:
(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).
So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.
2) what is the probability of rolling an odd number?
There are 18 possible outcomes in which an odd number is rolled.
So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.
3) what is the total that is most likely to result?
There are 6 outcomes in which 7 is rolled.
So 7 is the most likely total result.
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m = y2-y1 X2-X1 Find the slope of the line that passes through these two points. Simplify completely. (3,4) (5,5) m 8
Answers
Answer: 1/2
Step-by-step explanation:
m= 5-4
5-3
=
1/2
If X is the midpoint of TV, TV bisects RS, and TR is parallel to VS, state five pairs of objects (segments or angles) that must be congruent and give a reason why for each pair.
Answers
According to the Alternate Interior Angles Theorem, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.
Alternate Interior Angle Theorem?According to the Alternate Interior Angles Theorem, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.Is it true or false that different interior angles are always congruent? Although untrue, this assertion is a typical misunderstanding. Keep in mind that when the lines are parallel, alternate inner angles are congruent.Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposing sides of the transversal when two lines are crossed by another line (referred to as the Transversal). These two pairs of alternate interior angles in this illustration are c and f.To learn more about Congruent refer to:
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Make your angle measures correct to the nearest degree and side measures to 1 decimal place.
Answers
The value of angle Z= 39°, line XY= 21.9 and line XZ= 34.7
What is a right-angled triangle?A right-angled triangle is a type of triangle which as one of it's sides equal to 90°. Since angle Y is 90°, then ∆ABC is a right-angled triangle
angle Z = 180-(90+51)
angle Z= 180- 141= 39°
using trigonometry ratio
tan51 = 27/XY
XY= 27/tan51
XY= 27/1.2
XY= 21.9
using Pythagoras theorem
XZ²= 21.9²+27²
XZ²= 1208.6
XZ= √1208.6
XZ= 34.7
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It cost Juan $7.30 to send 73 text messages. How many text messages did he send if he spent $10.20?
Answers
Answer:
102
Step-by-step explanation:
First, divide 7.30 by 73 to find how much 1 text message costs. We get 0.1. Next, divide 10.20 by 0.1, which gives us the final answer of 102.
Answer:
99 text messages
Step-by-step explanation:
$7.50 = 73
÷73 ÷73
---------------------
amount to = $0.102739726
send one text
0.102739726x = $10.20
÷0.102739726 ÷0.102739726
-------------------------------------------------
x ≈ 99.28
I hope this helps!
Tell whether the lines for the pair of equations are parallel, perpendicular or neither
y=5x+12
y=5x-1.3
Answers
The pair of lines given are parallel to each other.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following pair of lines -
y = 5x + 12
y = 5x - 1.3
Since the slope of lines are same, both of these lines are parallel to each other.
Therefore, the pair of lines given are parallel to each other.
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A garden in the shape of a right triangle has a perimeter of 72 feet. If the
lengths of the sides of this garden are each lengthened by a factor of 8,
what would be the perimeter of the new enlarged garden?
OA) 352 ft.
OB) 488 ft
OC) 576 ft
OD 692 ft.
Answers
The perimeter of the new enlarged garden whose side length lengthened by factor of 8 is equal to 576ft.
As given in the question,
Shape of the garden is right triangle
Let 'x' , 'y' , and 'z' represents the three sides of the triangle shape garden.
Perimeter of the garden = 72 ft
⇒ x + y + z = 72 ft __(1)
Now, length of the each sides of the new garden is lengthened by factor of 8.
Sides of the new garden are '8x' , '8y' , and '8z'
Perimeter of the new garden = 8x + 8y + 8z
⇒ Perimeter of the new garden = 8 ( x + y + z )
⇒ Perimeter of the new garden = 8 (72)
⇒ Perimeter of the new garden = 576 ft
Therefore, perimeter of the new garden is equal to 576ft.
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A circle with a radius of 4 in. Is dilated by a scale factor of one-half. What will be the circumference of the circle after dilation?.
Answers
The circumference of a circle after dilation will be 12.56 in.
What is the circumference of a circle?
The overall length of the circle's boundary is referred to as the circumference. The circumference of a circle is its edge or the measurement of its entire arc.
The formula for the circumference of a circle is given:
Circumference of a circle = 2πr
Given, the radius of a circle = 4 in.
The radius after dilatation by a scale factor of one-half (1/2), then
new radius = (1/2)*4 = 2 in.
So, circumference of a circle = 2π * (new radius)
= 2*3.14*2
= 12.56 in.
Hence, the circumference after dilation is 12.56 in.
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SET AT 50 POINTS AND BRAINLIEST
Which expression is equivalent to −6 + 8 − 3x − 9x?
−12x + 14
−12x + 2
12x + 14
−12x − 2
Answers
Answer:
-12x + 2
Step-by-step explanation:
-6+8 = 2
-3x - 9x = -12x
-12x + 2
Answer:
Step-by-step explanation:
-12x+14 i believe
Which ordered pair makes the equation equal?
y = x - 2
Select one:
A.
(7, 9)
B.
(5, 3)
C.
(7, 14)
D.
(5, 7)
Answers
plug in x and y values to check answer
Answer:
B: (5,3)
Step-by-step explanation:
We just fill in the coordinates
A: (7,9)
9=7-2
9=5
not true
B: (5,3)
3=5-2
3=3
true
C: (7,14)
14=7-2
14=5
not true
D: (5,7)
7=5-2
7=3
not true
so b is the only correct answer
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