The student solved the system of equations by substitution. He substituted y = x - 1 into the first equation and solved for x. He then substituted the value of x into the second equation to find the value of y.
Explanation:The correct statement could be that Vince substituted the equation y = x - 1 into the first equation -5x + y = -21. Next, he solved for x. Once he found the value for x, he substituted that into the equation y = x - 1 to find the value of y, providing the solution to the system of equations.
Step-by-step:
Vince substituted y in the first equation with (x - 1), and got: -5x + (x - 1 ) = -21, which simplifies to: -4x - 1 = -21.He added 1 to both sides, resulting in: -4x = -20 and then he divided both sides by -4, finding x = 5. Lastly, Vince substituted x = 5 into the second equation getting: y = 5 - 1 = 4.So, the solution to the system is x = 5, y = 4.
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A tree casts a shadow that is 24 feet long. Brad is 5 feet tall, and while standing near the tree he casts a shadow that is 4 feet long. How tall is the tree?
Answer:
30 ft
Step-by-step explanation:
brad is 5 ft tall and has a shadow of 4 ft when standing by the near the trees shadow is 24 ft
so 24 ft / 4 ft =6 ft
so the tree is 6 times bigger than brad so you would multiple brads hight by 6
so that would be 5 times6 =30 ft
thus the tree is 30 ft tall
The shadow height of the tree is 24 feet, then the height of the tree will be equal to 30 feet.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
Shadow height of tree = 24 feet.
Height of Brad = 5 feet
Shadow height of Brad = 4 feet
Let the height of the tree is x feet.
Then,
x = (24 × 5)/4
x = 120/4
x = 30 feet
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Jayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches?
A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches.
Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height.
Inches cubed
Answer:
The volume is 64 inches cubedStep-by-step explanation:
plz mark as brainliest!!!
Answer:
64 inches cubed
What is the image point of (9,5)(9,5) after a translation right 4 units and up 4 units?
Answer:
(13,9) I think
Step-by-step explanation:
I hope this helps and I hope I can get Brainliest! =)
Final answer:
The image point of the original point (9,5) after a translation right 4 units and up 4 units is (13,9).
Explanation:
The student is asking about the result of a translation transformation in a two-dimensional coordinate system. Specifically, the student wants to know the new coordinates of a point after it is moved 4 units to the right and 4 units up. The original coordinates are given as (9,5). To find the image point after the translation, we simply add the corresponding values to each coordinate. So, we add 4 to the x-coordinate (9+4) and 4 to the y-coordinate (5+4).
The new coordinates, or the image point, will be:
x-coordinate: 9 + 4 = 13
y-coordinate: 5 + 4 = 9
Therefore, the image point after the translation is (13,9).
Please help!!!!!
How could you change the equation here so it has infinitely many solutions? What would infinitely many solutions mean in terms of the situation?
If the equation were 6x + 2 = 5x + 17 would there be one unique solution? What is it, and what would it mean in terms of the situation
Answer:
this equation would have one solution
Step-by-step explanation:
Because it has 2 different numbers before the variables.
Answer:
this equation would have one solution
Step-by-step explanation:
Jody has four bottles of soft drink – one bottle of cola, one of root beer, one of ginger ale, and one of orange. She chooses three of these bottles to take to a party. If she chooses the ginger ale, what is the probability she also chooses root beer?
If Jody chooses the ginger ale, the probability that she also chooses root beer from her selection is 1/3.
Explanation:Jody has four bottles of soft drink: one bottle of cola, one of root beer, one of ginger ale, and one of orange. She chooses three of these bottles to take to a party. The question is, if she chooses the ginger ale, what is the probability she also chooses root beer?
Since Jody has already chosen the ginger ale, she now has to choose 2 more bottles from the remaining three (cola, root beer, and orange).
There are 3 choose 2 ways (which is 3 ways) for Jody to pick her remaining bottles.
Only one of these combinations includes root beer (ginger ale, root beer, and one of the others).
Therefore, the probability that she also chooses root beer, given she has chosen ginger ale, is 1/3.
Sofia makes and sells stuffed toys. She uses special fabric to cover a foam
cube to make a letter block. How much fabric did Sofia use to make
this block? The side length is 8cm.
Answer:
384 square cm
Step-by-step explanation:
Fabric used will be equal to the total surface of the cubical block.
[tex]fabric \: used \\ = 6 {side}^{2} \\ = 6 \times {8}^{2} \\ = 6 \times 64 \\ = 384 \: {cm}^{2} \\ [/tex]
A bike wheel as a radius of 13 inches. About how far does the bike wheel travel in:
a. 1 rotation?
b. 5 rotations?
c. 30 rotations?
Answer:
a. 81.6 inches
b. 408 inches
c. 2480 inches
Step-by-step explanation:
circumference = 2 π r = 2 x 3.14 x 13 = 81.6 inchess
in feet = 81.6 /12
6.8 feet
Complete the statements to describe sporulation and vegetative propagation.
During sporulation, offspring develop from tiny structures called
(:ANSWER:)
During vegetative propagation, offspring grow from parts of the parent
(:ANSWER:)
Answer: Spores for the first box. Plant for the second box
Step-by-step explanation:
I got the answer right
Here, we are required to complete the statements to describe sporulation and vegetative propagation.
(1). Spores
(2). Plant
Sporulation essentially refers to the formation of spores from vegetative cells during unfavorable environmental conditions. Consequently, offsprings develop from these tiny structures called Spores. Sporulation is therefore often described as an adaptive response that allows the organism to survive under harsh conditions of radiation, extreme heat or cold, malnutrition etc.Vegetative propagation is characterized as any form of asexual reproduction occurring in plants in which a new plant develops from a fragment of the parent plant or a specialized reproductive structure (such as grafting and budding).Read more:
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Can y’all help me with the 3 questions still don’t wanna do it
Answer:
1- C Work the Exponents 12^2
2- A 120
3- (?) 31
Step-by-step explanation:
1- Pemdas
2- 12^2-48*1/2=?
First do the exponent 12^2=144
Then do the multiplication 48*1/2=24
Finally Subtract 144-24
3- 35-20/5
First divide 20/5 is 4
Then 35-4
This maybe wrong, but its what I got through pemdas.
What is the original price if after an increase of 25% the price was $225.00?
Answer:
$180.00
Step-by-step explanation:
x (1 + 0.25) = 225.00
x = 225.00 / 1.25 = 180
Answer:
$900
Step-by-step explanation:
You have to divide the percentage in order for it to go up.
Graph the function f(x) =( square root of x) -6
Answer:
This is the graph. It is a normal square root function, but translated down 6 units.
Factor x^2 - 4x + 5.
Prime
(x + 5)(x - 1)
(X - 5)(x - 1)
(x + 5)(x + 1)
Answer:
Uhh? You can't factor this!
Step-by-step explanation:
So.. we see that the last term, the constant, (the +5) is positive, which means the two terms (the a and b on the (x+a)(x+b) must be either both positive or both negative).
We try positive, and we end up with
(x+1)(x+5)
x^2 + x + 5x + 5
x^2 + 6x + 5
which is not what we want!
We try negative, and we end up with
(x-1)(x-5)
x^2 -x -5x +5
x^2 -6x +5
which is also not what we want!
This isn't factorable!
You can always complete the square or utilize the quadratic equation, but you can't factor it.
Please help ASAP!!! Will give Brainly!!! What are the x-intercepts of the parabola?
(4.5, 0) and (5,0)
(0.4.5) and (0,5)
(0,5) and (04)
(5.0) and (4.0)
Answer:
I think it's
4.5
5
0.4
0
0
5
4
maybe, maybe not.
Step-by-step explanation:
Find the range of each data set. Make sure it is CORRECT.
Answer:
answer 1 : is 12-1=11
answer 2: is 230-22=207
Step-by-step explanation:
Answer:
208!!!
Step-by-step explanation:
Minus the largest number by the smallest.
The area of a triangle is 15 square centimeters. If all the dimensions of the triangle are multiplied by 5, what will be the area of the new figure?
please help :)
75 cm2 150 cm2 375 cm2 625 cm2
Answer:
375 cm2
Step-by-step explanation:
The new area of the triangle will be 187.5 square centimeters.
Explanation:To find the area of a triangle, you can use the formula A = ½ x base x height. Given that the area of the triangle is 15 square centimeters, we can set up the equation as 15 = ½ x base x height. We are told that all the dimensions of the triangle are multiplied by 5, so the new base and height will be 5 times the original dimensions. Substituting these values into the equation, we get 15 = ½ x (5 x base) x (5 x height). Simplifying the equation, we have 15 = 12.5 x base x height.
Therefore, the new area of the triangle is 12.5 times the original area, which is 15 x 12.5 = 187.5 square centimeters.
What are the values of a, b, and c in the quadratic equation 0 = 5x - 4x2 – 2?
a = 5, b = 4, C = 2
O a= 5, b= -4, C = -2
O a=-4, b = 5, c = -2
O a = 4, b = -5, c = -2
Answer:
Option C.
Step-by-step explanation:
The standard form of a quadratic function is
[tex]ax^2+bx+c=0[/tex] ... (i)
The given equation is
[tex]0=5x-4x^2-2[/tex]
It can be rewritten as
[tex]-4x^2+5x-2=0[/tex] ... (ii)
On comparing (i) and (ii), we get
[tex]a=-4,b=5,c=-2[/tex]
Hence, the correct option is C.
Answer:
a=-4, b = 5, c = -2
Step-by-step explanation:
Bill works for the Stuff It Mailing Service. He receives 25 cents for each document he puts together and prepares for
mailing. Last weck, Bill prepared 2.000 documents for mailing for a local department store. He received a check with gross
pay of $474 and is certain the amount is incorrect
ist
Answer:
(a)Bill's Total piecework pay =$500
(b)Amount owed by his boss=$26
Step-by-step explanation:
Let the number of documents put together and prepared for mailing by Bill =x
Bill receives 25 Cents=$0.25 for every document
Therefore for x documents, Bill should receive: $0.25x
If Bill prepared 2000 documents for mailing
x=2000
The amount he should receive = $0.25 X 2000 =$500
(a)Bill's Total piecework pay =$500
(b)Amount owed by his boss
=500-474
=$26
Bill should have received a gross pay of $500 for preparing 2,000 documents.
Explanation:Bill works for the Stuff It Mailing Service and receives 25 cents for each document he prepares for mailing. Last week, Bill prepared 2,000 documents for a local department store. To find his correct gross pay, we can multiply the number of documents he prepared by the amount he earns per document: 2,000 documents × $0.25 per document = $500. Therefore, the correct gross pay for Bill should be $500.
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The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
Use the distance formula to find the length of each side, and then add the lengths
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
To find the perimeter of a quadrilateral use the distance formula to find the length of each side, and then add the lengths so option (A) will be correct.
What is a perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
For example
Perimeter of square = side + side + side + side
Perimeter of circle = πd where d is dia of the circle.
To find the perimeter of the quadrilateral we need to find all four side and add them because the perimeter is nothing but the sum of external sides.
So,
By using the distance formula we can find the distance between two points or the distance of a side of a quadrilateral because coordinates are given.
Hence "Use the distance formula to find the length of each side, and then add the lengths"
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What is the equation for a line that passes through the points (2,0) and (-4,9)?
Answer:
y = -3/2x+3
Step-by-step explanation:
We first need to find the slope using
m = (y2-y1)/(x2-x1)
= (9-0)/(-4 -2)
9/-6
=-3/2
We will use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
y = -3/2x+b
Substitute a point into the equation
0 = -3/2(2) +b
0 = -3+b
b = 3
y = -3/2x+3
Each school (input) has one principal (output). Function or non function?
Answer:
Function
Step-by-step explanation:
A function is any equation that doesn't have a repeat of any outputs. Since no principal can be a principal of more than one school, it's a function.
Each school having one principal is an example of a mathematical function because there is a one-to-one relationship between schools (inputs) and principals (outputs), meeting the definition of a function with a unique output for each input.
Explanation:In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. When we consider the example of schools and principals, we can apply this concept to determine if it represents a function. If each school (input) has one and only one principal (output), it satisfies the criteria for a function. This is because there is a one-to-one relationship between schools and principals. No school has more than one principal, hence adhering to the definition of a function with a domain (schools) and a range (principals).
Furthermore, the concept of functions is foundational to various aspects of school systems, which goes beyond mathematics and extends into the social functions of education. For instance, schools act as socialization agencies teaching respect for authority and conformity to law, which is a manifest function. This educational function aligns with the structure of authority within schools where each principal is the head of their respective school.
Please help me...
What is the function that matches the description.
A sine function whose amplitude is 5 and Period is 12.
Answer:
D (option 4)
Step-by-step explanation:
amplitude = 5
Period 12 means the multiple of x should be
2pi/12 = pi/6
2/3 of 24
Help me please!
This is important.
Answer:
16
Step-by-step explanation:
2(24)/3 = 16
Answer:
16
Step-by-step explanation:
24 divided by 3 equals 8 but since it’s not 1/3 you have to double it so i got 16
Jessenia surveys eighth graders at her school about their favorite subjects. She creates a table to summarize their responses.
What perent of the students who said math is their favorite are girls?
Please round your answer to the nearest percent.
Answer:
15%
Step-by-step explanation:
Answer:
15/124=about 12%
Step-by-step explanation:
Rewrite the equation by completing the square.
x^2 - 4x - 32 = 0
Answer:
(x-2)^2=36
Step-by-step explanation:
I got it correct on khan academy! but the layout is kind of confusing so when you put the answer in, the full thing will look like
(x+-2)^2=36
So all you have to type in is -2, and 36:)
The value of x=8,-4.
What is completing square method?Write the equation in the form, such that c is on the right side.
Step 2: If a is not equal to 1, divide the complete equation by a such that the coefficient of x2 will be 1.
Step 3: Now add the square of half of the coefficient of term-x, (b/2a)2, on both sides.
Given equation:
x² - 4x - 32 = 0
Now, add and subtract (2)² we get
x² - 4x - 32 + 2² - 2² = 0
x² - 4x + 2² - 32 - 2² = 0
(x-2)² -36=0
(x-2)²= 36
(x-2) = ±6
x= +6+2, -6+2
x=8,-4
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Find the product. Simplify your answer.
-5(-25? + 2)
Answer:
i think it's 125? - 10. i'm sorry if its not correct
Answer:
115
Step-by-step explanation:
The box measures 12 inches on each side. How many cubic inches will the box hold?
Answer: Multiply width x length x depth to calculate volume (cubic inches).
Step-by-step explanation:
Answer:48 cubic inches
Step-by-step explanation:
Its a box which means it has 4 equal side so therefore
12x4 = 48
The company A produces products a, and the company B produces products b. It is known that 3 percent of companies that produce products a go bankrupt over the year. Plus, the probability for companies producing products b to go bankrupt over the year is 6.1. What is the probability (given in decimal number) that both companies are going bankrupt over the year?
Answer:
0.00183
Step-by-step explanation:
The two companies produce different products and the chance to go bankrupt will be different based on the product made. So, the probability of the company A and B to go bankrupt is independent.
To find the answer of this question, we just need to multiply the probability to go bankrupt of each company. The calculation will be:
P(A=bankrupt) * P(B=bankrupt)= 3% * 6.1% =0.183%= 0.00183
ources
12. What's the area of the triangle below?
Foster.edu
8 m,
6
m
O A. 24 square meters
O B. 96 square meters
O C. 48 square meters
O D. 7 square meters
Answer:
O A. 24 square meters
Step-by-step explanation:
[tex]base \: (b) = 6m \\ height \: (h) = 8m[/tex]
Area of triangle
[tex] = \frac{1}{2} \times base \times height[/tex]
[tex] = \frac{1}{2} \times 6 \times 8 \\ \\ = 1 \times 3 \times 8 \\ = 24m {}^{2} [/tex]
Solve the problem, using 3.14 for 1. Round to nearest tenth unless instructed differently.
A semicircular driveway has a diameter of 70 ft. How long is the driveway?
Answer:
109.9
Step-by-step explanation:
It is asking for circumfrence right?
c=pi(d)
c=1/2(3.14)(70)
c=109.9
Sorrry if i am wrong
To find the length of the semicircular driveway with a diameter of 70 ft, calculate the circumference using the formula C = π * diameter.
To find the length of the driveway:
Given the diameter is 70 ft, the radius is half of that, which is 35 ft.
The formula for the circumference of a circle is C = π * diameter.
Substitute the values to find the length, C = 3.14 * 70 ft = 219.8 ft.
What is the prime factorization of 180?
0 2.2.3.3.5
O 2.2.45
2.3.3.5
2.9.5
Answer:
A) 2*2*3*3*5
Step-by-step explanation:
180
90*2
45*2*2
9*5*2*2
3*3*5*2*2
So your best choice would be A