Simplify the equation 6x = x +20 to obtain the value of x.
\(\begin{gathered} 6x=x+20 \\ 6x-x=20 \\ 5x=20 \\ x=\frac{20}{5} \\ =4 \end{gathered}\)So answer is x = 4
Option A is correct.
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
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x = 4 7 9 I will mark Brainliest!!!
Answer:
I believe the answer is 7
Step-by-step explanation:
Round 6.487 and 2.049 to the hundredths place. What is the sum of the rounded numbers? *
Answer:
8.54
Step-by-step explanation:
If thousandth's place is ≥ 5 , then add 1 to the hundredth place.
6.487 = 6.49
2.049 = 2.05
6.487 + 2.049 = 6.49 + 2.05 = 8.54
work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
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if you form a triangle from three given side lengths, will you always get one triangle or more than one triangle?
If the three side lengths are all different then you will only get one triangle. However, if two or more of the side lengths are the same then you can get more than one triangle.
What is known as a triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total
How is a triangle made?Three diagonals must meet at three different locations to form a triangle. There are five possible arrangements of three diagonals. We categorize them according on how many different diagonal endpoints there are. The quantity of triangles with 3, 4, and 5 endpoints will be counted directly.
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how many 1/4 doses can be drawn from a 7 and 1/2 vial of medication
Answer:
30
Step-by-step explanation:
7 1/2 is 15/2 as an improper fraction
15/2 ÷ 1/4 = 15/2 · 4 which is 30
Answer:
30 doses
Step-by-step explanation:
convert 7 1/2 into an improper fraction: 15/2
multiply it by 2/2 to have a common denominator: 30/4
Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?
118.4 divided by 6.4 ?
Answer:
18.5
Step-by-step explanation:
Lauren has a garden in the shape of a rectangle where the length is 5.4 meters and 1.5 meters. She plans on increasing both the length and width by 40%
Answer:
5.4 = 7.56
1.5 = 2.1
Step-by-step explanation:
Just find the answer for 40% of the given meters.
I'LL MARK THE BRAINLIEST!
What is the best approximation of the area of a circle with a diameter of 17 meters?
Use 3.14 to approximate pi.
the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².
Why it is and what is diameter?
The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.
The formula for the area of a circle is:
A = πr²2
where A is the area and r is the radius.
Substituting the value of the radius into the formula, we get:
A = 3.14 x 8.5²2
A = 3.14 x 72.25
A ≈ 226.99
Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².
In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.
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mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
siete veces un número en expresión algebraica
In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.
What is the formula for algebraic expressions?An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)
A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).
If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.
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Complete question -
Seven times a number in algebraic expression
Ginny's account after withdrawal?
Account balance of Ginny after withdrawal = $ 20 .
Given : Ginny's account balance before withdrawal ie . $ 40
Her withdrawal amount ie . $ 20
To find : account balance after withdrawal
Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .
After withdrawal ( taking out ) of $ 20 ,
Ginny has 40 - 20 = $ 20 left .
After adjustment , final amount = $ 20 .
Therefore , account balance of Ginny after withdrawal = $ 20 .
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There was a total of 184 teachers and students at an archery lesson.
3/4
of the teachers is equal to of the students.
2/5
How many teachers were there at the archery lesson?
Which graph represents the function f(x) = -|x| − 3?
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
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- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
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I will give brainliest!
Answer:
B
Hope its right
Step-by-step explanation:
Complete the table representing a linear function
Answer:
10 ; 10
Step-by-step explanation:
( 1 , 0 )
( 5 , 40 )
m = \(\frac{40-0}{5-1}\) = 10
y = 10x - 10
( 2 , 10 )
( 10 , 90 )
A canoe travels 8 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.
Answer:
D
Step-by-step explanation:
I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:
D and C
Step-by-step explanation:
We are doing the elimination method. We are subtracting so we can eliminate the x variable
x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3
Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.
x - 3 = 2.
Add 3 on both sides and you get
x = 5
Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!
If amount of utility bill is normally distributed with a mean of $105 and a standard deviation of $20. What percentage of your bills would you expect to be between $85 and $125?
Answer:
68% of your bills between $85 and $125
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = $105
Standard deviation = $20
What percentage of your bills would you expect to be between $85 and $125?
85 = 105 - 20
125 = 105 + 20
Within one standard deviation of the mean, so by the Empirical Rule, 68% of your bills between $85 and $125
The third term in a sequence is 16.
The term-to-term rule is "add 5".
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
s(n) = (5n) + 1
Step-by-step explanation:
s(n) = (5n) + 1 when n = 3 s(3) = 16
term to term is 5 more than the previous term "add 5"
What is the name of the Platonic solid below
The name of the Platonic solid that resembles a cuboid is the hexahedron, or more commonly known as a cube.
The correct answer is option C.
The name of the Platonic solid that resembles a cuboid is the hexahedron, also known as a cube. The hexahedron is one of the five Platonic solids, which are regular, convex polyhedra with identical faces, angles, and edge lengths. The hexahedron is characterized by its six square faces, twelve edges, and eight vertices.
The term "cuboid" is often used in general geometry to describe a rectangular prism with six rectangular faces. However, in the context of Platonic solids, the specific name for the solid resembling a cuboid is the hexahedron.
The hexahedron is a highly symmetrical three-dimensional shape. All of its faces are congruent squares, and each vertex is formed by three edges meeting at right angles. The hexahedron exhibits symmetry under several transformations, including rotations and reflections.
Its regularity and symmetry make the hexahedron an important geometric shape in mathematics and design. It has numerous applications in architecture, engineering, and computer graphics. The cube, as a special case of the hexahedron, is particularly well-known and widely used in everyday life, from dice and building blocks to cubic containers and architectural structures.
Therefore, the option which is the correct is C.
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The question probable may be:
What is the name of the Platonic solid which resembles a cuboid?
A. Dodecaheron
B. Tetrahedron
C. Hexahedron
D. Octahedron
15 31/40 to the nearest whole number
Answer:
16
Step-by-step explanation:
Because the number is closer to 16, it can be rounded off to that. 15 31/40 is the same as 15.78. When the decimal is over .50 it is rounded up to the next whole number, but when it is under .50 it si rounded down to the nearest whole number. ex. since this one is over the .50, it's rounded up, but if it were 15.36 then it would be rounded down to 15. hope this helps :D
Read the problem.
Savory Spreads bagel shop baked 120 bagels this morning, and 24 of them were
blueberry. What percent of the bagels were blueberry?
Pick the model that represents the problem.
0%
?
100%
120
0
24
100%
0%
?
120
0
24
What percent of the bagels were blueberry?
Answer:
20%
Step-by-step explanation:
Firstly,
you'll have to divide 24 blueberry bagels by 120 of em all, so you'll get 0.2
24/120
= 0.2
Next,
change the number to percentage
0.2 × 100%
= 20%
2 2/3 + 1 1/4 + 3 1/2 =..........
Answer: Hope this helps
Step-by-step explanation:
Answer:
7.33+11/4+31/2
7.33+2.75+31/2
7.33+2.75+15.5
25.58
a circle has a radius of 15 cm determine the excavt area
Answer:
Step-by-step explanation:
area=π r²
=π×15²
=225 π cm²
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
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NEED HELP. A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.
What is the area of the playground?
a. 1,750 square yards
b. 1,855 square yards
c. 2,730 square yards
d. 3,710 square yards
Thus, the total area of all the shapes created, makes up the playground's area is 2700 square yards.
Explain about the polygon?A polygon is a fully closed, flat, two-dimensional form with straight sides. It must have straight, not curved, sides. Polygons, on the other hand, can have whatever number of sides.
The total area of all the shapes created, makes up the playground's area. There are two triangles and one rectangle.
Rectangle Area = base * height
Rectangle Area = 50*35
Rectangle Area = 1750 Yards
One Triangle's area = 1/2 * base * height
One Triangle's area = 1/2 *50* 18
One Triangle's area = 450 Yards
Second Triangle's area = 1/2 * base * height
Second Triangle's area = 1/2 * 50* 20
Second Triangle's area = 500 yards
Total area = 1750 + 450 + 500
Total area = 2700 square yards
Thus, the total area of all the shapes created, makes up the playground's area is 2700 square yards.
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Complete question :
A city just opened a new playground for children in the community.
A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.
What is the area of the playground?
a. 2,700 square yards
b. 1,855 square yards
c. 2,730 square yards
d. 3,710 square yards
Answer:
c. 2730 square yards
Step-by-step explanation:
You want the area of the quadrilateral shown in the attachment.
Composite figureThe given figure can be considered to be composed of trapezoid ABCD and triangle ACE. Using the relevant area formulas, we can find the area of each, then add the results together.
TrapezoidThe area is given by ...
A = 1/2(b1 +b2)h
A = 1/2(70 +50)(35) = 2100 . . . . square yards
TriangleThe area is given by ...
A = 1/2bh
A = 1/2(70)(18) = 630 . . . . square yards
PlaygroundThe area of the playground is the sum of the areas of its parts:
playground area = 2100 yd² +630 yd²
playground area = 2730 yd²
Allen bought a computer that was 25% off the regular price of $480.
If an 5% sales tax was added to the cost of the computer, what was the total price Allen paid for it?
Answer:
144? or 126 sorry
Step-by-step explanation:
I NEED HELP WITH THIS QUESTION
Answer:
y= 7 and -1
Step-by-step explanation: