The required translation of the given statement into an equation is given as 38 = 2d.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
38 is the product of Della's score and 2.
Let the variable d to represent Della’s score,
2 × d = 38
2d = 38
Thus, the required translation of the given statement into an equation is given as 38 = 2d.
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Write an equation to represent the table. (no taxes involved)
The required equation is 12.5n+7
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from basics such as the addition and subtraction of algebraic expressions.
Given: Let the fixed convenience fee be t and price per ticket be x then we have the following equations:
2x+t=32
3x+t=44.50
solving these two equations we get x=12.5 and t=7
Hence, the required equation is y=12.5n+7 where n is the number of tickets.
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what terms are in 3x-2+4y-7+x
Answer: 3x, -2, 4y, -7, and x
Hope this helps :)
Step-by-step explanation:
Terms are all of the variables and/or numbers in an equation.
How do you find the coordinates of a triangle with midpoints?
To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints.
To find the coordinates of a triangle with midpoints, you first need to calculate the midpoints of each side of the triangle. To do this, take the two endpoints of the side and average their coordinates. For example, if the two endpoints are (x1, y1) and (x2, y2), then the midpoint would be ((x1+x2)/2, (y1+y2)/2). Once you have all the midpoints, you can use the midpoint formula to calculate the coordinates of the triangle. The midpoint formula states that the coordinates of the triangle can be found by taking the average of the midpoints of the three sides.
To find the coordinates of a triangle with midpoints, you must first calculate the midpoints of each side by averaging the coordinates of the two endpoints. Then use the midpoint formula to take the average of the three midpoints to find the triangle's coordinates
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You have an ant farm with 27 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one year, how many ants will there be in the ant farm?
Answer:
this is my best awnser
Step-by-step explanation:
It represents a linear function and there will be 216 ants after 1 year
Why are the three types of solutions in systems of equations?
The 3 different types of solutions in a system of equations are a unique solution, no solution and many solutions.
There are 3 types of systems of linear equations which are as follows:
Dependent: The system has infinitely many solutions. The graphs of these equations represent the same lines.
Example:[tex]\left \{ {{-6x + 4y = 2} \atop {3x - 2y = -1 }} \right.[/tex]
The system has infinitely many solutions.
Independent: The system has exactly one solution. The graphs of these equations intersect at a single point.
Example:[tex]\left \{ {{x - 3y = 7} \atop {3x - 3y = 15}} \right.[/tex]
The unique solution to the system is (4, -1)
Inconsistent: The system has no solution. The graphs of no-solution equations are parallel lines.
Example:[tex]\left \{ {{x + 2y = 9} \atop {2x + 4y = 7}} \right.[/tex]
The system has no solution.
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Given the circle below with tangent PQ and secant SRQ. If RQ = 7 and
SQ= 40, find the length of PQ. Round to the nearest tenth if necessary.
The required length of the tangent PQ is given as 16.73 units.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
PQ² = QS·RS
PQ = √[7 × 40]
PQ = 16.73
Thus, the required length of the tangent PQ is given as 16.73 units.
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Write “Heidi had a bag containing b candies, she split the bag of candy into six equal piles.” In expression
Answer:
B/6
Step-by-step explanation:
is this what you mean
B= ammount of candie
1/6= the piles she divided
so
[tex]\frac{b}{6}[/tex]
Choose the expression that best represents the phrase below.
...the number of fish divided evenly among 5 aquariums...
OA. 5-f
B. 5 f
C. f-5
D. 5f
E. f 5
OF. 5+ f
The expression that best represents the phrase below.
"the number of fish divided evenly among 5 aquariums" is
E. f ÷ 5How to find the expression that suit the phraseThe expression that suits the phrase is derived by understanding the meaning of the phrase
The phrase "the number of fish divided evenly among 5 aquariums" means dividing fishes equally among 5 aquariums.
Let the number of fishes be f using the division operation, the division operator ensures that the division is even for the aquariums. hence we have
= the number of fishes ÷ divided by the number of aquarium
= f ÷ 5
hence option E is the correct one
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How do I copy a table formula in Word?
Therefore , the solution of the given problem of table comes out to be
the steps for using table name in formula are listed below.
About the table.A statistically list is a collection of numbers that shows the outcomes of an analysis with numerous inputs. Data is arranged in columns and rows and consists of both descriptions and numbers. The table and also the patter of 10 are easy to recall. The numbers are in the following order: 7, 14, 21, 28,35, 42, 49, 56, 63, and 70. A method for illustrating the connections between different data pieces is value mapping. In any science subject, the values table might be helpful.
Here,
To relocate a formula, choose a cell that it is in.
(Or, click Ctrl + X.) Click Home > Cut. Select Transfer (or ctrl + V)
after choosing the cell in which you desire the formula to appear.
Therefore , the solution of the given problem of table comes out to be
the steps for using table name in formula are listed above.
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Shota invests \$2000$2000dollar sign, 2000 in a certificate of deposit that earns 2\%2%2, percent in interest each year.
At the end of the first year, Shota will have earned amount \$400.00$400.00dollar sign, 400.00 in interest.
Shota invested $2000 in a certificate of deposit that earns 2% interest each year. This means that for every $100 invested, Shota will earn $2 in interest. Therefore, for the $2000 invested, Shota will earn $40 in interest each year ($2 x 2000 = $4000, and then divide by 100 to get $40).
At the end of the first year, Shota will have earned $400.00 in interest ($40 x 10 = $400).
Shota invested $2000 in a certificate of deposit that earns 2% interest each year. After the first year, Shota will have earned $400.00 in interest.
At the end of the first year, Shota will have earned amount \$400.00$400.00dollar sign, 400.00 in interest.
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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 16 grams. The jeweler used 130 grams of gold and made 5 more bracelets than necklaces. Write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you use to write the system.
The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.
What is variables?A variable in Algebra is an alphabet used to represent an unknown number. It denotes the value. A variable is a quantity that can be altered in response to a mathematical problem. Many algebraic expressions and equations use the generic letters x, y, and z. A variable is, in other words, a symbol for a number whose value is unknown.
Given:
Each bracelet contains 8 grammes of gold, and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces.
According to the question,
Let x denote the number of bracelets and y the number of necklaces made by the jeweller.
The jeweller made a total of 13 bracelets, This means that
⇒ x + y = 13
It is assumed that each bracelet contains 8 grammes of gold and each necklace contains 24 grammes of gold. Using 168 grammes of gold, the jeweller created 13 bracelets and necklaces. That is to say,
⇒ 8x + 24y = 168
Thus, The equations used to determine the number of bracelets and necklaces made are x + y = 13 and 8x + 24y = 168, respectively.
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3. On a map of the northeast United States, the map scale says that 1 centimeters = 5
miles. The distance shown on the map between New York City and Buffalo is 58 cm.
What is the actual distance between the two cities?
Answer:
290 Miles
Step-by-step explanation:
Take your 58cm, as we were told 1cm equals 5 miles.
We can time 58 by 5 which gives you 290 Miles.
What is the solution to this system of linear equations XY 6 and Y x =- 10?
The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).
y - x = 6
⇒y = x + 6
y + x = -10
⇒y = - x - 10
Since both equations are equal to y, equate them.
x + 6 = - x - 10
x + x = - 10 - 6
2x = - 16
Divide both sides by 2
x = -8
Put the value of x in either of the equations
y - x = 6
y - (-8) = 6
y + 8 = 6
y = 6 - 8
y = - 2
Therefore, the solution to the system of linear equations is (-8, -2).
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How many linear equations are satisfied by X 2y =- 3?
Answer:
Infinity solutions
Step-by-step explanation there are many solutions
Can an exponential function be 1?
An exponential function can be equal to 1, but it would have to be a special case.
To determine this:
An exponential function has the form f(x) = ab^x, where a and b are constants. For the function to be equal to 1, the output value of the function must be 1 for all values of x. Therefore, we must have:
[tex]ab^x = 1[/tex]
In order for this equation to be true for all values of x, a and b must be chosen such that:
ab = 1
This means that a and b must be reciprocals of each other. For example, if a = 2, then b = 1/2. In this case, the function [tex]f(x) = 2(1/2)^x[/tex] would be equal to 1 for all values of x.
Another example would be if a = 1 and b = 1. In this case, the function [tex]f(x) = 1(1)^x[/tex] would be equal to 1 for all values of x.
It's important to note that while an exponential function can be equal to 1, it would only be in cases where a and b are reciprocals of each other and not with any other values.
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How many roots does fundamental theorem of algebra?
The Fundamental Theorem of Algebra asserts that this 2 n d degree polynomial must have precisely two roots.
What is algebra?According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots. Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we employ variables such as x, y, and z in addition to integers. Elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are all sub-branches of algebra. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression.
Here,
According to the Fundamental Theorem of Algebra, this 2 n d degree polynomial must have precisely two roots.
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At what point will the lines x = 2y - 28 and
x = -6y + 36 intersect?
A line passes through the points (3, 75) and (4, 100).
What is the slope of the line?
You can use the formula to help.
➡) slope
=
11
3/29/1
X2X1
-
?
100 y
90
80
70
60
50
40
30
20
10
(4, 100)
(3, 75).
0
0 1 2 3 4 5
x
6 7 8 9 10
If the equation [tex]ax^2+2hxy+by^2+2gx+2fy+c=0[/tex] describes a pair of straight lines, then the equations m1+m2=-2h/b and m1m2=a/b, where m1 and m2 are the slopes of the straight lines, apply.
Simple line equation: what is it?A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
How can I determine a line's slope?Determine the coordinates of two points along the line that you choose.
Find the difference between these two points' y-coordinates (rise).
Find the difference between these two points' x-coordinates (run).
Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.
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A right triangle has a leg length of square root of 11 and a hypotenuse length of 9. Determine the length of the other leg of the right triangle.
The length of the other leg of the right triangle is √70. The result is obtained by using the concept of the Pythagoras theorem.
What is the Pythagoras theorem?
The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the squares of the other length sides. It can be expressed as
a² + b² = c²
Where
a = baseb = altitudec = hypotenuse (the longest side)Base altitude is also called as legs of the right triangle.
A right triangle has a leg length of √11 and hypotenuse of 9. Find the length of the other leg!
Let's say
a = √11c = 9The length of other leg is b, the shorter side of hypotenuse.
By using the Pythagoras theorem, we get b.
a² + b² = c²
(√11)² + b² = 9²
11 + b² = 81
b² = 81 - 11
b² = 70
b = √70
Hence, the length of the other leg of the right triangle is √70.
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I’ll give brainliest if correct! Write the rule for the linear function using the table
For the information in the table, a linear function rule is y = -2x + 3. Each function is assigned a domain and a codomain, or scope.
what is linear function ?The study of mathematics covers numbers and their variations, equations and related structures, shapes and their locations, and locations where they can be found. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a "function." A function is a relationship between inputs and outputs where each input produces a single, unique result. Each function is assigned a domain and a codomain, or scope. Typically, the symbol f is used to represent functions (x). input consists of an x. Based on the following criteria, there are four primary categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
we'll utilize the coordinates (0, 3), and (1, 1)
Access the slope
Slope = 1-3/1-0
Slope = -2
X = 0 is where the y-intercept is located, hence b = 3.
Find the needed equation:
Keep in mind that y = mx + b.
y = -2x + 3 .
For the information in the table, a linear function rule is y = -2x + 3.
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Lincoln makes beaded necklaces. Each necklace has three sections. The first section is made
3
1
from-inch beads, the second section is made from-Inch beads, and the third section is
2
made from -inch beads. Each section has the same number of beads, b.
Which expressions represent the length
of one of Lincoln's necklaces?
Choose ALL that apply.
1
MIN
+
What is the length of a necklace that has
10 of each type of bead?
II
inches
OOO
7
4
8
5
6
2
04
X+
+
Answer: 110 inches.
Step-by-step explanation: The length of a necklace that has 10 of each type of bead can be represented by the expression:
1310 + 2110 + 3210 = 30+20+60 = 110 inches
So the correct answer is 110 inches.
Answer:
The answer is 15.
Explanation:
Got it right on i-Ready!
The height of an equilateral triangle is 27 in. Find the perimeter of the triangle.
Answer:
a = 27
perimeter = 3a
= 3 * 27
= 81
Find the exact volume of the solid. Note that the figure is a half-sphere removed from the cylinder. 25mm 15mm
The exact volume of the solid is 963 2/3π cubic cm
How to determine the exact volume of the solid.From the question, we have the following parameters that can be used in our computation:
Shapes = Half-sphere and cylinder
A half-sphere is called a hemisphere, and the volume is calculated as
V₁ = (2/3)πr³
From the given figure (see attachment), we have
r = 14 cm/2
r = 7 cm
Substitute the known values in the above equation, so, we have the following representation
V₁ = (2/3)π * 7³
V₁ = 686/3π
Next, we have the volume of the cylinder to be
V₂ = πr²h
Where
r = 14 cm/2
r = 7 cm
And
h = 22 - 14/2 = 15
So, we have
V₂ = πr²h
Substitute the known values in the above equation, so, we have the following representation
V₂ = π * 7² * 15
V₂ = 735π
The volume of the solid is then calculated as
V = V₁ + V₂
So, we have
V = 686/3π + 735π
Evaluate the sum
V = 963 2/3π
Hence, the volume is 963 2/3π cubic cm
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Determine if the triangles are similar.
1. yes SAS
2. yes SSS
3. yes AA
4. No, not similar
The triangle Illustrated shows that the correct option is 4. No, not similar
How to illustrate the triangle?According to the SAS criterion for triangle congruence, two triangles are considered congruent if they have two pairs of congruent sides and if the included angle (the angle between the congruent sides) in one triangle coincides with the included angle in the other.
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the other triangle.
In this case, the triangles are different. The correct option is 4.
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Can you state whether or not they are similar?
Explain why!
Thank you.
10/n = 2/1.7 what is n
Answer:
n = 8.5
Step-by-step explanation:
[tex]\frac{10}{n}[/tex] = [tex]\frac{2}{1.7}[/tex] ( cross- multiply )
2n = 10 × 1.7 = 17 ( divide both sides by 2 )
n = 8.5
mala walk her dog 3 times a day each walk is 3/4 miles
The expression for the total miles Mala walks her dog each day is : 3/4 x 3.
Define the term multiple?Manifold is the fundamental definition of multiplicity.
A multiple in mathematics refers to the outcome of multiplying two numbers together. Here, the number 7 is multiple by 56. Speaking of several items means that you are referring to more than one. In mathematics, multiples are the results of multiplying two whole integers together. For instance, 35 is a multiple of 7 as well as 5 in the expression 7 x 5 = 35.For the stated question:
Total distance of 1 walk = 3/4 miles.
Total frequency = 3.
So,
Total distance = 3/4 x 3
Thus, the expression for the total miles Mala walks her dog each day is : 3/4 x 3 .
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The complete question is-
Mala walks her dog 3 times a day. Each walk 3/4 is mile. What expression tells how many miles Mala walks her dog each day?
Karen was trying to factor 6x^2+106x
2
+106, x, squared, plus, 10. She found that the greatest common factor of these terms was 222 and made an area model
3x^{2}+5 is the area of rectangle .
What is a rectangle, exactly?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
The height of the first rectangle is 2 and the area is 6x^{2}. To get to 6x^{2} you have to multiply by 3x^2.
Similarly, to find the width of the other rectangle you multiply 5 by 2 to get to 10.
The answer is 3x^{2}+5
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One has six small chains of four links each she wants to make him until one long chain of 24 links cutting a link cost $1.25 in welding then cost $3.50 with the least cost of making the chain
The least cost of making the chain would be = $114
What is welding?Welding is defined as the process that can be used to join some hard materials such as chains which can be used for making of pieces of jewelry.
John's chain contain the following = 6 small chains
The number of links for each chain = 4 links
This means that for the totals chain there are 6× 4 = 24 links which is also the total number of links he wants to make.
The cost of 1 link = $1.25
The cost of welding = $3.50
The least amount of money that can be used can be calculated below as;
= (1.25 + 3.50)× 24
= ($4.75) × 24
= $114
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On the first grid, create a graph of x=2+5t for -2 ≤ t ≤ 7 with x on the vertical axis and t on the horizontal axis.
Graph of x=2+5t for -2 ≤ t ≤ 7 is attached below.
What is graph?A graph is a kind of a chart where data are plotted as variables across the coordinate.
Given equation,
x=2+5t for -2 ≤ t ≤ 7
x on the vertical axis and t on the horizontal axis.
the graph of above equation is straight line.
Hence, following graph represents x=2+5t for -2 ≤ t ≤ 7.
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