Question 2: How can you tell just by looking that the following system that it has infinitely many solutions?
x+y=5
2x+2y=10
The table below shows how the age of a certain tree is related to the
diameter (width) of its trunk. How old (in years) is a tree whose trunk is 12
inches in diameter?
Trunk diameter
(inches)
4
5
6
7
8
69
Age
(years)
10
20
30
40
50
60
Answer here
years old
Based on the relationship between the age of a tree and the inches in diameter, the age of a tree with 12 inches diameter is 100 years old.
What is the age of the tree?The relationship between the age of a tree and the length of its diameter is such that from 4 inches in diameter, the age of the tree increases by 10 years for every 1 inch increase in diameter.
The last number of years shown in the table is 60 years which corresponds with 8 inches.
The number of years that a 12 inch tree would be is:
9 inches = 70 years
10 inches = 80 years
11 inches = 90 years
12 inches = 100 years
In conclusion, the tree would be 100 years.
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An airplane travel 780 miles in 4 hours the equation y= 195x models this situation
Part A: what is the constant of proportionality
Part B: what does the constant of proportionality represent?
Answer:
a) constant of proportionality = 196
b) constant of proportionality represents the speed of the airplane in miles per hour
Step-by-step explanation:
The proportionality relationship is
y ∝ x where y = distance flown in miles and x is time in hours
This can be modeled as an equation
y = k. x where k is the constant of proportionality
The equation given is y = 195x so 195 is the constant of proportionality , it is basically the speed of the airplane in mph
can I get help on this I need the code for this and Ive tried everything
Using proportions, it is found that:
a) They can paint 2.8 pictures in one hour.
b) The rate per hour is of 131.2 magazines.
c) The unit rate is of 0.86 problems per minute.
d) He can make 92.5 tacos in one hour.
e) He walks 3.75 miles in one hour.
The code is of 148.79.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
A unit rate is given by amount or fraction divided by time. Hence, for item a, it is given as follows:
4/5/(2/7) = 4/5 x 7/2 = 2.8.
They can paint 2.8 pictures in one hour.
For item b, we have that:
328/2.5 = 131.2.
The rate per hour is of 131.2 magazines.
For item c, we have that:
15/17.5 = 0.86.
The unit rate is of 0.86 problems per minute.
For item d, we have that:
185/2 = 92.5.
He can make 92.5 tacos in one hour.
For item e, we have that:
0.75/0.2 = 3.75.
He walks 3.75 miles in one hour.
For the code, the letters are given as follows:
E = 3.75, B = 131.2, D = 92.5, A = 2.8, C = 0.86.
Hence the code is given by:
E(B - D) + (A + C) = 3.75(131.2 - 92.5) + (2.8 + 0.86) = 3.75(38.7) + 3.66 = 145.13 + 3.66 = 148.79.
The code is of 148.79.
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The area of a square garden is 64 yd². How long is each side of the garden?
Answer:
area of a square= s^2
so the each side is 8
Please help!
Simplify the expression. Show all steps to simplify the expression.
Answer:
3^5
Step-by-step explanation:
substract the index of the number
The length of a rectangle is 12 feet less than 6 times its width. If the perimeter of the rectangle is
312 feet, find the length and width of the rectangle.
If the perimeter of rectangle is 312 feet,
The length and width of the rectangle are 132 feet and 24 feet
let the width of the given rectangle be x feet
then as per the information provided in the question , the length of rectangle is 6x-12 feet
the parameter of the rectangle is the two times the sum of its length and breath = 2(l+ b)
We are already provided with the parameter of the rectangle as 312 feet
So, let us put the value of length and breath along with the parameter in the formula
312= 2( (6x-12) + x
312= 2( 6x-12 + x)
312= 2(7x-12)
312= 14x - 24
312+24 =14x
336=14x
therefore x= 24
Hence, the length and width of the rectangle are 132 feet and 24 feet
the perimeter of rectangle, we add the lengths of all four sides. Since opposite sides of a rectangle are always equal, we need to find the dimensions of length and width to find the perimeter of a rectangle.
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At store A for 2 pineapples is $5 if at store B the price for 2 pineapples is $5 what is the unit rate for each store
Come up with two variables that are related in your view; determine which variable is the dependent variable and which one is the independent variable. Draw a line graph by hand, labeling the vertical and horizontal axis consistent with your choice of variables. The line in the line graph has to represent, what, in your view, is the relationship between the two variables. Describe your graph verbally in your post (no need to upload the graph itself
Using a linear function, given by S(x) = 10 + 2x, we have that:
The independent variable is the number of weeks x.The dependent variable is the savings after x weeks, given by S(x).The graph means that the balance starts at $10 and increases by $2 each week.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The value of y depends on the value of x, hence x is the independent variable and y is the dependent variable.One example is a person with savings of $10, and the amount increases by $2 each week, hence the relation is:
S(x) = 10 + 2x.
In which:
The independent variable is the number of weeks x.The dependent variable is the savings after x weeks, given by S(x).The graph means that the balance starts at $10 and increases by $2 each week.More can be learned about linear functions at https://brainly.com/question/24808124
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Dress shoes of a specific style for women come in sizes ranging from 6 to 10. A retailer believes that this range of
sizes is adequate for all but 5% of its female customers.
(a) What normal model for sizes is consistent with the opinion of the retailer? (Assume that the model is centered on
the given range.)
(b) If the retailer uses a normal model, then should it order more shoes of sizes 6 and 7 or more shoes of sizes 9 and
10?
(c) Can a normal model possibly be the right model for the proportion of shoe sizes of the retailer's female
customers?
(a) The normal model with μ = and o=
(Round to the nearest integer as needed.)
CCC
is consistent with the opinion of the retailer.
Normal model for sizes is (7,1)
Here 5% of female customer have foot size in between 6-10
a)We were told that there are dress shoes in sizes 6 to 10 point, and the tailor believes that, with the exception of 5% of his female customers, the shoe would fit almost everyone. As a result, it accounts for 95 percent of female customers or women who try on his shoes, and we've been asked to determine what standard model for sizes is consistent.
b)The mean is 8 and the standard deviation is 2 points. So, we can say that x follows a normal model with a mean of 8 and a variance of 4 point right and in part b, we were asked whether a retailer should order more shoes in sizes 4 and 5 or more shoes in sizes 11 and 12 point so the best way to do this is to draw a balk curve or the symmetric table. So let's try to graft that together. draw it out to begin with so an important feature of the normal curve of the ball curves that it's always symmetric about the mean.
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Solve the equation
22x+1 +2x+2 =12−2x
Answer:
x = (9/26)
Step-by-step explanation:
22x + 1 + 2x + 2 = 12 - 2x
24x + 3 = 12 - 2x
+2x +2x
26x + 3 = 12
-3 -3
26x = 9
÷26 ÷26
x = (9/26)
I hope this helps!
There are 48 people art a party. There are seven times as many adults as children. There are twice as many females as males. If there are 5 girls at the party, how many men are there?
48 persons make up a party. There are seven times more adults than children in the world. Males outnumber females two to one. If the party has five girls. The total number of male adults are15
The total number of people are in the party is equal to 48
Let the number of children be x
So, the number of adults in the party is equal to 7 x
x + 7 x =48 ( This is a linear equation)
So, the number of children in the comes to be 6
Number of adults in the party = 6 * 7 = 42
Now let number of males be y
So total number of females = 2 y
Y+2y = 48 ( This is a linear equation)
Y=16
Therefore, the number of males is 16 and number of females is 32
Number of children in the party is 6 and female child is equal to 5
Then, number of male children =6-5 = 1
So total males in the party is equal to 16
Adult males =total number of males - number of male children
=16 - 1 = 15
Hence the total number of male adults =15
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Gabriel draws a shape with 8 vertices and exactly 2 square square faces which shape does Gabriel draw
Answer: square prism
Step-by-step explanation: It is a square prism. All angles are 90°. rectangular faces and 2 square faces, 8 vertices and 12 edges. It is also a prism because it has the same cross-section along a length.
Give the equation of the line parallel to line 1 which passes through (-8,-5)
The equation of the line is y = 5x + 35
How to find the equation of a line?The equation of a line can be represented in a slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, line that are parallel have the same slope.
Therefore, if line one slope is 5, then the slope of the unknown line will be 5.
Hence,
y = 5x + b
let's find the y-intercept using (-8, -5)
-5 = 5(-8) + b
-5 = -40 + b
b = -5 + 40
b = 35
Therefore, the equation of the line is y = 5x + 35
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What is the amount (to the nearest cent) in the account at the end of three years if the interest rate is 2%
The amount at the end of three years is 1.06 times the initial amount.
Simple interest is calculated using the following formula: = P × R × T, where P = principal, R = annual interest rate (%), T = hours, usually calculated as years. The interest rate is expressed as a percentage r% and written as r/100. Principal : Principal is the amount originally borrowed or invested by the bank. The capital is represented by P. Interest Rate : The interest rate is the rate at which the principal is given to someone for a period of time. The interest rate could be 5%, 10%, or 13%. The interest rate is represented by R. Time : Time is the length of time a principal is given to someone. Time is represented by T. Amount : When a person takes out a loan from a bank, he has to repay the amount of principal plus interest, and this repayment amount is called the amount.Rate = 2%
Time = 3 Years
Let the principal amount be P
Simple interest = P * R * T
SI = ( P * 2 * 3 ) / 100
= 6P/100
= 0.06P
Amount = P + SI
= P + 0.06P
= P(1 + 0.06)
= 1.06P
The amount at the end of three years is 1.06 times the initial amount.
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if y= 0 what is y+10+10
Given:
y=0, y+10+10
statement of equality between two expressions consisting of variables and/or numbers
to solve the equation y+10+10, if y=0
substitute the value y=0, in the equation
which is equal to y+10+10= 0 +10 + 10 = 20
so the final answer is 20.
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How do I solve 9-2(p+1)=4(p-8)
Answer:
Step-by-step explanation:
First, distribute the -2 to the p and +1 in the parentheses.
9-2(p+1)=4(p-8)
9-2p-2=4(p-8)
Then on the other side do the same thing distributing the 4 to the p and -8.
9-2p-2=4(p-8)
9-2p-2=4p-32
Now isolate the variable p by adding 2p to each side
9-2p-2=4p-32
9-2=6p-32
From here you subtract 9 from 2 and then add 32 to both sides.
7=6p-32
39=6p
finally you divide both sides by 6 to get p.
39/6=p
6.5=p
How to solve 5x + 7y = 1790 and 1x + 1y = 290 algebraically
Answer:
Step-by-step explanation:
Answer: x=120; y=170.
Step-by-step explanation:
1) it is possible to make up the the system of two equations from these two given equations:
[tex]\left \{ {{5x+7y=1790} \atop {x+y=290}} \right.[/tex]
2) the solution of the system above:
[tex]\left \{ {{5x+7y=1790} \atop {5x+5y=1450}} \right. \ = > \ \left \{ {{2y=340} \atop {x+y=290}} \right. \ = > \ \left \{ {{y=170} \atop {x=290-y}} \right. \ = > \ \left \{ {{y=170} \atop {x=120}} \right.[/tex]
3) finally, (120;170).
25 divided by 5
90 divided by 5
and how would it look like?
Answer:
Hope this helps :)
1. 25 ÷ 5 = 5
2. 25
---- <----- fraction bar means divide too
5
1. 90 ÷ 5 = 18
2. 90
---- <------- fraction bar means divide too
5
What are the correct answers ABCD?
Answer:
the answer would be D. x/7=9
Step-by-step explanation:
-
Layla and Amelia are making bracelets. It takes Layla 45 minutes to make 9 bracelets on her own. Together, Layla and Amelia can make 9 bracelets in 20 minutes. How long will it take Amelia to make 9 bracelets?
Answer:
Step-by-step explanation:
It takes Layla 45 minutes to make 9 bracelets on her own.
45 divided by 9 equals 5. It takes Layla 5 minutes to make one bracelet.
Layla and Amelia can make 9 bracelets in 20 minutes.
20 divided by 9 equals 2 and 2/9.
5 - 2 2/9= 2 7/9
2 7/9 times 9 equals 25
Amelia can make 9 bracelets in 25 minutes
So it takes Layla 56 minutes to make 9 ( 45 divided by 9 = 5) so that means in 20 minutes Layla will make 4 bracelets.
this means it will piece together as Layla would make 4 while Amelia makes 5. So i think on Amelia's own it'll take her 40 minutes.
so sorry if i'm wrong :(
What is the x-intercept of the line with this equation -3x+1/2y=18
Answer:
Step-by-step explanation:
for the x-intercept this is where the y value is equal to 0But before that by inspection you can see that your equation is not in the standard form of a straight lineMake y the the subject of the equation[tex]\frac{-3x+1}{2y}(2y) =18(2y)\\-3x+1=36y\\y=\frac{-3x+1}{36}[/tex]Now plug in y=00=-3x+1-3x=-1[tex]x=\frac{1}{3}[/tex]In September 2022, Mr. Fishman noted that his age was 11 years less than twice his younger sister's age and he
was 2 years younger than his older sister. He also noted that his two sisters are 20 years apart in age. Let x be the age of Mr. Fishman's younger sister. Create at least one equation in order to determine
the younger sister's age in September 2022. Then use the equations you created to solve for all of their ages.
The younger sister is 29.
The older sister is 49.
Mr Fishman's age is 47.
What are their ages?Let:
x = older sister's age x = younger sister's age c = Mr. Fishman's ageThe difference between the older sister and younger sister's age: y - x = 20 equation 1
Mr Fishman's is 11 years less than twice his young sister's age: 2x - 11 = c equation 2
The difference between Mr Fishman and his older sister's age : y - c = 2
y - 2 = c equation 3
Let equation 2 and 3 be equal : 2x - 11 = y - 2
2x - y = 11 - 2
2x - y = 9
-y + 2x = 9 equation 4
The two equations that would be used are:
y - x = 20 equation 1
-y + 2x = 9 equation 4
Add both equations together
x = 29
Substitute for x in equation 1
y - 29 = 20
y = 29 + 20
y = 49
y - c = 2
49 - c = 2
c = 49 - 2
c = 47
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Which value can each term be multiplied by to eliminate the decimals in the equation 0.5x + 1 = 0.75x?
The value that each term can be multiplied by to eliminate the decimals in the equation is 4
Which value can each term be multiplied by to eliminate the decimals in the equation?The equation is given as
0.5x + 1 = 0.75x
Represent the terms as a fraction
So, we have
1/2x + 1 = 3/4x
The denominators in the above fractions are
2 and 4
The LCM of 2 and 4 is 4
Hence, the value that each term can be multiplied by to eliminate the decimals in the equation is 4
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I need help with this please
what is the domain of the relation { ( − 1 , 1 ) , ( 8 , 8 ) }
Answer:
{-1 , 8}
Step-by-step explanation:
The domain is simply all of the x values. Since the ordered pairs are written as (x, y) ...Find the domain by listing all the x values from the relation (which in this case is the first value in each of the parentheses).
least to greatest 7.9 8.6 0.98 0.8
Answer: 0.8, 0.98, 7.9, 8.6
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLY-EST
What is the slope-intercept form of the following equation?
10x + 4y = 16
y = ___________ x + __________
Answer: y=−5/2x+4
Step-by-step explanation:
Put it into a app
solve this maths pls 17-0.9
Answer:
16.1 is the answer
Step-by-step explanation:
17.0-0.9= 16.1
Answer:
16.1
Step-by-step explanation:
take 0.9 from 17=16.1
Hong is saving money to buy a game. So far he has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
1/4 of 12 is 3, so if he has 3/4 of the total cost saved up, add 12+3, which is $15, which is the total cost of the game.
Step-by-step explanation:
