The solution for the equation would be (-4,-16) as the definition of solution of equation says "A number that can be entered for the variable to produce a true number statement is the solution to an equation".
What is solution to equation?A number that can be entered for the variable to produce a true number statement is the solution to an equation. One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the given equations on a graph and locate the point(s) where they all intersect to solve a system by graphing. You can find the values of the variables you are solving for by finding the coordinate of this point.
The equation is,
y=4x
x+y=-20
x+4x=-20
5x=-20
x=-4
y=-4*4
y=-16
(x,y)=(-4,-16)
According to the definition of solution of equation, "A number that can be entered for the variable to produce a true number statement is the solution to an equation," the answer to the equation would be (-4,-16).
To know more about equation,
https://brainly.com/question/10413253?referrer=searchResults
#SPJ1
4) =√7√ and =√63√ where and are poitive integer. Given that :=1:9 find, in it implet form, the ratio :
The ratio of a and b in the simplest form is a:b = 1:3 .
In the question ,
it is given that ,
a = √7 + √c and
b = √63 + √d
and the ratio of c and d is given as c : d = 1 : 9 , which means c/d = 1/9
on cross multiplication , we get
d = 9c
Substituting d=9c in the equation b = √63 + √d ,
we get ,
b = √63 + √9c
b = 3√7 + 3√c
taking 3 common , we get
b = 3(√7 + √c)
b = 3a ......because a = √7 + √c .
b/a = 3/1
So, a/b = 1/3
the ratio is a:b = 1:3 .
Therefore , The ratio of a and b in the simplest form is a:b = 1:3 .
The given question is incomplete , the complete question is
If a = √7 + √c and b = √63 + √d , where c and d are positive integers. Given that c : d = 1 : 9 . find, in its simplest form, the ratio a : b ?
Learn more about Ratio here
https://brainly.com/question/18077248
#SPJ4
What is the Area of a circle with the radius of 5
Answer:
Answer is 78.5
Step-by-step explanation:
the formula for the Area of a cirlcle is [tex]\pi[/tex][tex]r^{2}[/tex]
using it:
area = 3.14 * 5^2
area = 78.5
13 In August, 85% of the middle school students voted in a school election. The number of students who voted was 544.
How many students are in the middle school?
(A) 462 students
(B) 544 students
(C)629 students
(D) 640 students
Answer:
D. 640 students
Step-by-step explanation:
hope this helps
help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
The length of the bar is 10.5 foot and the width of the bar is 5.7 foot .
In the question ,
it is given that
the base area of the large chocolate bar is 59.85 square foot .
let the length of the chocolate bar be "l"
and the breadth of the chocolate bar be "b"
given that the length is 0.9 foot shorter than twice its width , means
l = 2w - 0.9
we have the area of rectangle = length [tex]\times[/tex] width
Substituting the values of length , width and area we get
59.85 = (2w - 0.9 ) * w
59.85 = 2w² - 0.9w
2w² -0.9w -59.85 = 0
On solving the quadratic equation ,
we get w = -5.25 and w = 5.7
width cannot be in negative , so, the width is 5.7 foot .
and l = 2(5.7) -0.9 = 11.4 - 0.9 = 10.5
Therefore , the length of the bar is 10.5 foot and the width of the bar is 5.7 foot .
Learn more about Area here
https://brainly.com/question/11317901
#SPJ1
What is the slope of this line?
A. - 1/3
B. 1/3
C. 2/3
D. - 2/3
Answer:
2/3
Step-by-step explanation:
rise/run=slope
2 up and 3 to the right to it is 2/3
-4(x-1) I forgot how to simplify it
Answer:
Step-by-step explanation:
-4(x-1)
distribute the -4
-4x + 4
4.* 4. Students were asked how many hours a weeknight they spend on homework and exercise. The dot plots display the results. Which statement is not supported? Homework Exercise LG 2 3 4 5 Number of Hours 1 2 3 4 5 Number of Hours A. More time is spent on homework than exercise. B. The mode activity times are equal. C. The median exercise time is not equal to the median homework time. D. The range of homework hours is greater for homework than for exercise ОА
Analyze each statement to see if it is supported by the dot plots or not.
A) More time is spent on homework than exercise.
Find the total time spent on each activity to compare
The activity preference of teachers and librarians is given in the table.
Teachers Librarians
Movies 3 12
Books 4 9
Plays 2 15
Based on the information in the table, which of the following is an example of independent events.
P(librarian and chooses book)
P(librarian and chooses movie)
P(teacher and chooses play)
P(teacher and chooses book)
The activity preference of teachers and librarians is given in the table. P(teacher and chooses play) is an example of an independent event.
What is an independent event?An independent event is an activity whose occurrence does not depend on other events.For example, if a coin is tossed and the result is heads, tossing the coin again will result in tails. In both cases, the occurrence of both events are independent of each other. This is one type of activity in probability. Learn here the full definition of independent events and how they differ from Venn diagrams, examples, and mutually exclusive activity .In probability theory, the set of outcomes of an experiment is called an event. There are different types of events, including independent events, dependent events, and mutually exclusive events.A and B are said to be independent events if the probability of an event A occurring is unaffected by the occurrence of another activity B.To learn more about independent event from the given link :
https://brainly.com/question/13488890
#SPJ1
Peter has $ 40 to spend on rides at the state fair. Each ride costs $3. Find the recursiveand the explicit function.Recursive Function:Explicit Function:
Recursive function: f(n) = f(n-1) + 3
Explicit function: f(n) = 3n
Explanations:Amount of money Peter has to spend = $40
Cost of each ride = $3
Let the number of rides be represented as n
The recursive function is a function in which each term always depends on the preceding terms. In this case, Peter pays $3 after every ride. This means that he adds 3 to every preceding amount that he spends on the rides.
The recursive function is therefore:
f(n) = f(n-1) + 3
The explicit function: This function is always expressed in a clear form (i.e. explicitly)
3 x number of rides = Amount spent
The explicit function is therefore:
f(n) = 3n
Highlighter
Clear
At the grocery store, three brands of raisin bran are sold. For Brand A, the equation y = 0.18x represents
the cost, y, of x ounces of raisin bran. For Brand B, the table shows the amounts paid for different
amounts of raisin bran. For Brand C, the graph shows the relationships between the total cost, y, and the
number of ounces of raisin bran, x.
Amount of
Raisin Bran
(ounces)
0
10
24
Brand B
27
Total Cost
(dollars)
0
1.60
3.84
4.32
Total Cost (dollars)
4
Brand C
Answer: brand A 0.21 0.18 brand B brand c 0.16
Step-by-step explanation:
Find the value of √√441 + √16 + √4
Answer:
Your answer would be 10.582575695, the rounded answer would be 10.60.
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
The softball team at west river middle school needs New Jersey’s and new hats . A Jersey costs $40 , and a hat costs $15 . The softball team has a total of $1,200 to spend . Let x equal the number of jersey’s the team orders and y equal the number of hats the team orders. Which inequality models this situation
The inequality model will be 40*x + 15*y ≤ $1200.
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
The given information, cost of a Jersy = $40
Cost of Hat = $15
The softball team has a total of $1,200 to spend.
Let x equal the number of jersey’s the team orders and y equal the number of hats the team orders.
So the total money will be spend within the budget will be
40*x + 15*y ≤ $1200
Hence, the inequality model will be 40*x + 15*y ≤ $1200.
Learn more about inequality , by the following link
https://brainly.com/question/11613554
#SPJ1
The triangles in the figure below are similar.
image b125a080d0e9444e9eebf9b6644403df
Which proportion is correct?
A.
x20=96
x
20
=
9
6
B.
x20=915
x
20
=
9
15
C.
2015=x6
20
15
=
x
6
D.
x20−x=156
x
20
−
x
=
15
6
The proportion that is correct to find the value of x in the similar triangles is: B. x/20 = 9/15.
What are Similar Triangles?For any two triangles that are similar to each other, their corresponding sides will have lengths that are proportional to each other, which means they have the same ratio.
The triangles as shown in the image attached below are said to be similar to each other, this means they have side lengths that are proportional to each other or their corresponding sides will have proportional lengths.
Therefore, we will have the following proportion if we intend to find the value of x in the image given:
x corresponds to 20 while 9 corresponds to the side that measures (9 + 6) 15.
Therefore, the correct proportion is:
x/20 = 9/15.
Learn more about similar triangles on:
https://brainly.com/question/21874653
#SPJ1
find the error & explain why it is wrong: jon had to solve the equation below. what did he do wrong?
Answer:
Step B is incorrect because the factors of [tex]x^2 + 4x + 3[/tex] should be:
[tex](x + 3)(x + 1)[/tex]
Draw a tree diagram to solve the following question.A bag contains 5 red and 3 blue marbles. Two marbles are drawn simultaneously from thebag. Determine the probability that at least one is red.
Step 1. There are 5 red marbles and 3 blue marbles, 8 marbles in total:
Step 2. Two marbles are drawn simultaneously, which means that there is no replacing of the marbles.
To make the tree diagram with the probabilities for each marble, remember the probability formula:
[tex]P=\frac{\text{Number of favourable outcomes}}{total\text{ numer of outcomes}}[/tex]The three will look as follows:
For the first marble, the probability of getting a red one is 5/8 because there are 5 red marbles out of a total of 8, and similar to the first one is blue.
For the second marble, we consider that the total number of marbles is now 7.
Step 3. To find the probability of each combination, we multiply the values of each branch:
The results of the multiplications is:
The ones that have at least one red marble are the first three branches: red-red, red-blue, and blue-red.
To find the probability of at least one red marble, we add the results of the first three branches:
[tex]\frac{20}{56}+\frac{15}{56}+\frac{15}{56}[/tex]The result is:
[tex]\frac{20}{56}+\frac{15}{56}+\frac{15}{56}=\frac{50}{56}[/tex]The probability is 50/56.
The fraction can be simplified to:
[tex]\frac{50}{56}=\frac{25}{28}[/tex]The probability simplified is 25/28.
Answer:
[tex]\frac{25}{28}[/tex]true or flase? Any method (elimination, substitution, or graphing) can be used to any possible system of linear equations.
Answer:
Step-by-step explanation:
Yes, you can use either the system of elimination, substitution, or graphical method to solve linear equations
. Julia is buying vegetables at a
farmer's market. One of the stands is
selling zucchini for $1.25 per pound.
The total weight of the zucchini she
has selected is 3.8 pounds. How
much will she pay for
Answer:
$4.75
Step-by-step explanation:
We can use a simple multiplication statement to solve this problem.
3.8 × 1.25 = 4.75
help me with this im really confused lol please
Answer:
Here is the equation in quadratic form:
x= 3±i√47/4
Find the values of x and y to make the following numbers equal
If all numbers has to be equal, that means:
[tex]\begin{gathered} \frac{-2}{x}=-0.2 \\ \frac{y}{5}=-0.2 \end{gathered}[/tex]Let's solve the value of x and y that makes the equation above equal. Let's start with x.
[tex]\begin{gathered} \frac{-2}{x}=-0.2 \\ \text{Cross multiply.} \\ -2=-0.2x \\ \text{Divide -0.2 on both sides.} \\ \frac{-2}{-0.2}=\frac{-0.2x}{-0.2} \\ 10=x \end{gathered}[/tex]The value of x is 10.
Let's solve for y.
[tex]\begin{gathered} \frac{y}{5}=-0.2 \\ \text{Cross multiply.} \\ y=-1 \end{gathered}[/tex]The value of y is -1.
Mrs. Cyan paid $105 for flower boxes. Each
flower box cost $7. How many flower boxes
did she buy?
hello I seem to be having issues on this problem
Okay, here we have this:
Considering the provided data set, we are going to create the corresponding histogram, so we obtain the following:
The above histogram corresponds to the one requested in the exercise.
3) Given the points (6-11) and (-2,9), find the following: a) find the slope between these points, b) find the equation of the line between these points, b) find the y-intercept of this line, c) graph this line.
Points (6,-11) and (-2,9)
then
a) Slope m= Y/X = (9 --11)/ (-2-6) = 20/-8= -5/2
b) equation of line y = mx + b
find b= y - mx = 9 -(-5/2)•(-2) = 9 - 5= 4
then equation is
y= (-5/2)x + 4
c) y-intercept of this line is
x= 0 , y= 4
d) graph of this line
Write the coordinate point for the vertex of this parabola: 1,2 x=
Given:
[tex]x=-\frac{1}{8}y^2[/tex]Vertex of the parabola is (0,0).
The perimeter of the quadrilateral ABCD is 105 inches
what is the Lenght of segment BC
Answer:
Hello, I would need to see an image of the quadrilateral at hand to be able to answer your question.
Step-by-step explanation:
Just let me know, here to help!
The length of the base of an isosceles triangle is x. The length of a leg is 2x-3. The perimeter of the triangle is 19. Find x
Step-by-step explanation:
isoceles means that the triangle has 2 equally long legs.
the perimeter is the sum of all sides.
so,
19 = x + (2x - 3)×2 = x + 4x - 6 = 5x - 6
25 = 5x
x = 5
what is the best approximation of √39 to the nearest tenths ?
Answer:
6.24
Step-by-step explanation:
On average, Logan drinks 3/4 of a 12-ounce glass of water in 1 3/4 hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answer:
4.5 ounce or 3/4 of 6-ounce glass.
Step-by-step explanation:
I don't know -_- I'm too lazy for this.
Which statement is true regarding the graphed functions? 8 6 4 -6-5-4-3-2 436 - -6 1979 - 2 -127 (0) = g(0) 1-2) = g(-2) f(0) = g(-2)
Let's check the choices one by one.
From the figure,
Choice A :
f(0)=g(0)
f(0) = -2
g(0) = -2
So f(0) = g(0) is true!
Choice B :
f(-2) = g(-2)
f(-2) = 4
g(-2) = -4
So f(-2) = g(-2) is false!
Choice C:
f(0) = g(-2)
f(0) = -2
g(-2) = -4
So f(0) = g(-2) is false!
The correct answer is Choice A. f(0) = g(0)
10 points and brainliest to first correct answer! please answer both!
An explicit formula for the sequence -2,3,8,13,18 is aₙ = 7 - 5n.
The express method for a mathematics collection is an = a + (n - 1)d, and any time period of the collection can be computed, without knowing the opposite terms of the collection. In preferred, the explicit method is the nth time period of mathematics, geometric, or harmonic sequence.
Calculation:-
a₁ = 2
a₂ = 2 - 5 = -3
a₃ = -3 - 5 = -8
a₄ = -8 -5 = -13
a₅ = -13 -5
= -18
The formula for the nth term of explicit sequence is aₙ = a₁ +(n - 1)d
where a₁ = 2 and d = 5
So,
aₙ =2 + (n - 1)(-5) using distributive property
aₙ = 2 + n (-5)+(-1)(-5)
aₙ = 2 - 5n + 5
aₙ = 7 - 5n
The explicit formulae for L-capabilities are members of the family between sums over the complicated variety zeroes of an L-characteristic and sums over prime powers, introduced by Riemann for the Riemann zeta feature.
Learn more about explicit formulas here:-https://brainly.com/question/28354530
#SPJ1
PLEASE HELP I GOT LIKE 15 MINUTES LEFT
One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region.
Answer:
133π square centimeters
Step-by-step explanation:
Area of larger circle:
[tex]\pi( {13}^{2} ) = 169\pi[/tex]
Area of smaller circle;
[tex] \pi( {6}^{2} ) = 36\pi[/tex]
Area of shaded region:
[tex]169\pi - 36\pi = 133\pi[/tex]