2x + 3.50y = 225
To make $225, Dalvin had to sell 25 pounds strawberries and 50 pounds of blueberries.Given that:
Dalvin has a farm stand where strawberries and blueberries are for sale.Blueberries cost $3.50 per pound, while strawberries cost $2 per pound.Dalvin made $225 total by selling twice as many pounds of blueberries as strawberries.To find:
Write an system of equation that might be utilized to calculate the quantity of strawberries and blueberries sold in pounds.Calculate the amount of blueberries and strawberries that were sold in pounds.So, according the question,
Let's assume Delvin sold x pound of strawberries and y pound of blueberries to make $225.
From question,
if, 1 pound of strawberries = $2
So, x pound of strawberries = $2 × x = $2x.
Similarly,
if, 1 pound of blueberries = $3.50
So, y pound of blueberries = $3.50 × y = $3.50y.
Now, we can say that,
x pound of strawberries + y pound of blueberries = $225.
2x + 3.50y = 225 -------------(1)
Equation (1) is the system of equation of the question.
In comparison to strawberries, Dalvin sold twice as many pounds of blueberries.
So,
y = 2x -----------(2)
Now, putting the value of y from eq(2) in the system of equation of the question.
So, we will we get
2x + 3.50y = 225 -------------(1)
2x + 3.50 × 2x = 225
2x + 7x = 225
9x = 225
x = 225/9
x = 25
Now, putting the value of x in eq(2)
So, we will we get
y = 2x -----------(2)
y = 2 × 25
y = 50
Answer:
The system of equation is2x + 3.50y = 225
To make $225, Dalvin had to sell 25 pounds strawberries and 50 pounds of blueberries.To learn more about The system of equation, please click on the link;
https://brainly.com/question/21620502
#SPJ1
A. Solves each equation by extracting square root.
1.) x² = 16
2.) x² = 49
3.) x² = 128
4.) x² = 108
5.) x² = 121
6.) x²-169 = 0
7.) x²-80=0
8.) x²-63=0
9.) 5x2 – 125 = 0
10.) 3x²-132-0
can you answer this please
Simplify each expression.
8. (-3)+4
8. (-3)+4
= -24 +4
= -20
What is algebric equation?In algebraic equation or polynomial equation is an equation of the frame P=0 where P could be a polynomial with coefficients in a few field, regularly the field of the rational numbers.
algebraic equation, statement of the equality of two expressions defined by applying to a set of factors the algebraic operations, namely, expansion, subtraction, increase, division, raising to a control, and extraction of a root.
To learn more about algebric equation, visit;
brainly.com/question/14963185
#SPJ4
the andersons can set up 6 tables in 1 hour how many tables can they set up in 5 hours
They can set up total 30 tables in 5 hours.
How is a multiplication explained?Multiply in mathematics refers to the continual addition of sets of same size.
2 × 3 = 6
It can be interpreted this way:
Three times two equals six.
Three times two equals six.
Six is two threes.
Given,
Andersons can set up 6 tables in 1 hour
Tables they can set up in 5 hours = 5 × 6
= 30
To learn more about multiplication from given link
https://brainly.com/question/4721701
#SPJ9
Use each recursive definition to write an explicit formula for the sequence. a₁ = 10, an =2 a n ₋ ₁
The explicit formula is [tex]a_n = 2^{n-1}.10[/tex]
What is a sequence ?A sequence can be taken as the set of numbers having a particular order for all the terms or we can say that arrangement of numbers in some order is known as sequence. There are many types of sequences such as recursive sequences, arithmetic sequences, special sequences, quadratic sequences, geometric sequences etc.
Some examples for sequence are :
2,4,6,8,10,12
3,9,27,81,243
What is recursive sequence ?The recursive sequence is the sequence in which any term in the sequence can be find with the help of previous term of that sequence.
In a sequence , first term always known as initial term.
and difference between two terms are known as common difference. It is denoted by d.
General form of sequence is :
[tex]a_1,a_2,a_3,----,a_n[/tex]
where , [tex]a_n[/tex] = last term in sequence.
According to question,
[tex]a_1 = 10[/tex] and [tex]a_n=2a_{n-1}[/tex]
first find the sequence ,
[tex]a_2= 2 a_{2-1} = 2 a_1 = 2(10) = 20\\\\a_3= 2 a_{3-1} = 2 a_2= 2(20) = 40\\\\a_4= 2 a_{4-1} = 2 a_3= 2(40) = 80[/tex]
Thus sequence is 10,20,40,80,...
and the explicit formula for sequence is :
[tex]a_n = 2a_{n-1}\\= > a_n = 2(2a_{n-2}) = 2^2 a_{n-2}\\= > a_n = 2^2 (2a_{n-3}) = 2^3 a_{n-3}\\ .\\.\\= > a_n = 2^{n-1} a_{n-(n-1)} \\ = > a_n = 2^{n-1} .a_1 = 2^{n-1}.10[/tex]
To know more about recursive sequence, visit :
https://brainly.com/question/8972906
#SPJ4
Find the value of each variable (3x+31)° (2x-6)°
Answer:
x = 31°Step-by-step explanation:
Angle (3x+31)° and angle (2x-6)° are supplementary angles
(3x + 31)° + (2x - 6)° = 180°
5x + 25° = 180°
5x = 155°
x = 31°
-----------------
check
3 * 31 + 31 + 2 * 31 - 6 = 180
180 = 180 (remember PEMDAS)
the answer is good
Write an equation of a circle with the given center and radius. Check your answers.
center (-6,10) , radius 1
The equation of the circle with radius 1 and center at (-6 , 10) is (x + 6)^2 + (y - 10)^2 = 1.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (-6 , 10)
r = 1
(x - -6)^2 + (y - 10)^2 = 1^2
(x + 6)^2 + (y - 10)^2 = 1
Learn more about equation of a circle here: https://brainly.com/question/14150470
#SPJ4
what is y if 3y+20=5y-16
Answer:
y is equal to 18
Step-by-step explanation:
[tex]3y+20-20=5y-16-20\\3y=5y-36\\3y-5y=5y-36-5y\\-2y=-36\\\frac{-2(y)}{-2}=\frac{-36}{-2}\\(\frac{-a}{-b} = \frac{a}{yb}) =\frac{2y}{2}\\\frac{2(y)}{2}=y\\=\frac{36}{2}\\=18\\y = 18[/tex]
Determine whether the given function is linear. f(x) = 3 + 1/3x
you can either graph this or plug in values.
[tex]f(x)=3+\frac{1}{3}x[/tex]
[tex]f(-1)=3+\frac{1}{3}(-1)\\\\f(-1)=3-\frac{1}{3}\\\\f(-1)=2\ \frac{2}{3}\\\\f(0)=3\\\\f(1)=3\ \frac{1}{3}[/tex]
[tex]\therefore[/tex] we can conclude that this function is linear.
Also here is a graph
If x = −4 and y = −5, what is the value of 5x + 3y + 14? A. −49
B. −21 C.41 D. 49
Answer:
the value it's -21
Step-by-step explanation:
5×(-4)+3×(-5)+14=
-20 + (-15) + 14=
-20 -15 + 14=
-35 + 14=
-21.
f(x) = -5x − 3 and g(x) = 6x - 2. Find f g and its domain.
The domain is f[tex]o[/tex]g(x)= -30x+7
The domain is all the real numbers.
Given that f(x)=-5x-3 and g(x)=6x-2.
f[tex]o[/tex]g=f(g(x))
=f(6x-2)-3
=-5(6x-2)-3
=-30x+10-3
f[tex]o[/tex]g =-30x+7
The domain is all the real numbers.
What is domain?
Specific to the internet, the term domain can refer to how the internet is structured, and domain also refers to how an organization's network resources are organized. In general, a domain is an area of control or a sphere of knowledge.
Learn more about domain here: https://brainly.com/question/1214333
#SPJ9
Divide the quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. write the final answer in scientific notation. 3.5 x 108 0.35 x 109 3.5 x 109 0.35 x 1025
On dividing 3.185 × [tex]10^{17}[/tex] by 9.1 × [tex]10^{8}[/tex] the final answer in scientific notation is 3.5 ×[tex]10^{8}[/tex] .
The quantity 3.185 times ten raised to the seventeenth power can written as 3.185 × [tex]10^{17}[/tex] .
The quantity 9.1 times ten raised to the eighth power can written as 9.1 × [tex]10^{8}[/tex] .
On dividing 3.185 × [tex]10^{17}[/tex] by 9.1 × [tex]10^{8}[/tex] ,
( 3.185 × [tex]10^{17}[/tex] )/( 9.1 × [tex]10^{8}[/tex] ) = 0.35 × [tex]10^{17-8}[/tex] = 0.35 ×[tex]10^{9}[/tex] = 3.5 ×[tex]10^{8}[/tex] (in scientific notation)
Scientific notation is a floating-point system in which the numbers are expressed as the products consisting of a number between one to ten multiplied by an appropriate power of ten.
On dividing 3.185 × [tex]10^{17}[/tex] by 9.1 × [tex]10^{8}[/tex] the final answer in scientific notation is 3.5 ×[tex]10^{8}[/tex] .
To know more about Scientific notation refer to the link:
https://brainly.com/question/10401258
#SPJ4
4. Drew is going to try out for the basketball team, so he decides to shoot free throws every day at the park. On the first day, he shoots 15 free throws. On the second day, he shoots 25 free throws. On the third day, he shoots 35 free throws, Drew continues to increase the number of free throws he shoots each day by the same amount. a) If Drew continues to follow this pattern, how many free throws will Drew shoot on the 20th day? b) What is the total number of free throws Drew shot during those 20 days?
Answer:
He shot a total of 2,415 free throws. He shot 255 on the 20th day.
Step-by-step explanation:
Isabel is on a ride at an amusement park that slides the rider to the right, and then rotates counterclockwise about its own center 60° every 2 seconds. How many seconds pass before Isabel completes one full rotation?
Isabel to complete one full rotation is 12 seconds.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.P ( E ) = Number of favourable outcome Total number of outcomes. Hence, the probability is the possibility of the occurrence of a random event.In every 2 seconds the ride rotates 60º.
So, it takes 6 turns to rotate 6 × 60º or 360º.
Therefore, the time it takes
Isabel to complete one full rotation is 12 seconds.
Learn more about probability
brainly.com/question/11234923
#SPJ4
7
2-2
3-3
Question 6(Multiple Choice Worth 1 points)
(02.05 MC)
If the parent function f(x) = |x| is transformed to g(x) = |x - 3|, what transformation occurs from f(x) to g(x)?
The graph of f(x) is shifted upward to create g(x).
The graph of f(x) is shifted downward to create g(x).
The graph of f(x) is shifted to the right to create g(x).
The graph of f(x) is shifted to the left to create g(x).
Question 7(Multiple Choice Worth 1 points)
(02.05 MC)
Set
Answer: The graph of f(x) is shifted to the right to create g(x).
Step-by-step explanation:
g(x) is the graph of f(x) shifted right 3 units.
Draw a right triangle with side lengths that form a Pythagorean triple. If you double the length of each side, is the resulting triangle acute, right, or obtuse? if you halve the length of each side? Explain.
If you double or halve the length of each of Pythagorean triplet the resulting triangle will always be Right Triangle.
Pythagoras Theorem states that the sum square of two sides of triangle is equal to the square of longest side.
Let us take Pythagorean triplet as (6,8,10).
where base=6
perpendicular = 8
hypotenuse = 10
Part(a)
Let us double the length of each value
base = 12
perpendicular = 16
hypotenuse = 20
By Pythagoras Theorem
[tex]base^{2} +perpendicular^{2} =hypotenuse^{2}[/tex]
[tex]12^{2} +16^{2} =20^{2} \\ \\ 144+256=400\\ \\ 400=400[/tex]
Therefore the Triangle will be a Right Triangle as Pythagoras Theorem is satisfied.
Part (b)
Let us halve the length of each value
base=3
perpendicular = 4
hypotenuse = 5
By Pythagoras Theorem
[tex]base^{2} +perpendicular^{2} =hypotenuse^{2}\\\\3^{2} +4^{2} =5^{2}[/tex]
[tex]9+16=25\\ \\ 25=25[/tex]
Therefore the Triangle will be a Right Triangle as Pythagoras Theorem is satisfied.
Therefore , If you double or halve the length of each of Pythagorean triplet the resulting triangle will always be Right Triangle.
Learn more about Pythagoras Theorem here https://brainly.com/question/11852963
#SPJ4
Which relation is function?
There are 4 graph in the given picture. The 4th graph is the function other 1st, 2nd and 3rd graph are not a function.
Given that,
There are 4 graph in the given picture.
We have to find the graph is function or not.
We have to perform the vertical line test.
Use the vertical line test to determine whether a graph accurately represents a function. If a vertical line is moved across it and only ever touches it at one point, the graph is said to be a function. The graph is not a function if the vertical line traverses it more than once.
We have to draw the vertical lines on a graph if the vertical line touches the graph more then 1 then it is not a function if it touches 1 time then it is a function.
1st graph is not a function.
2nd graph is not a function.
3rd graph is not a function.
4th graph is a function.
Therefore, the 4th graph is the function other 1st, 2nd and 3rd graph are not a function.
To learn more about function visit: https://brainly.com/question/12431044
#SPJ1
Write the equation of the line in slope-intercept form.
(x/6) - (5/12)y = 5/8
The equation of the line in slope-intercept form is y = (2/5)x + (-3/2) .
The equation of a line in slope-intercept form can be written as follows,
y = mx + c equation 1
m in the above equation represents slope of the line and c represents the intercept.
The given equation is (x/6) - (5/12)y = 5/8 .
To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as
(x/6) - (5/12)y = 5/8
On multiplying both sides of above equation by (12/5), we will get
(2/5)x - y = 3/2
⇒ y = (2/5)x + (-3/2) equation 2
On equating equation 1 and equation 2, we will get
Slope of the line = m = 2/5
Intercept = c = -3/2
The equation of the line in slope-intercept form is y = (2/5)x + (-3/2) .
To know more about Slope Intercept form refer to the link:
https://brainly.com/question/19440459
#SPJ4
3(4x −2)=2(5x +3) yo i need this fast
Answer:
x=2
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
3(4x-2)=2(5x+3)
12x-6=10x+6
+6 +6
12x=10x+12
-10x -10x
2x=12
Divide by 2.
x=6
Hope this helps.
[tex]\frac{1}{4} + \frac{-3}{4}[/tex]
Answer:
-1/2
[tex] - \frac{1 }{2} [/tex]
First the two fours cancel out so it's becomes
[tex] \frac{1 - 3}{4} [/tex]
then subtract
[tex] \frac{ - 2}{4} [/tex]
simplify
[tex] \frac{ - 1}{2} [/tex]
9.233050612 es el número racional o irracional
9.233050612 is a rational number.
What are rational and irrational numbers?Real numbers that can be expressed as a ratio of two integers, such as P/Q, where Q is not equal to zero, are referred to as rational numbers. Finite or repeating numbers are included in the category of rational numbers.
Real numbers are referred to as irrational numbers if they cannot be represented as the ratio of two integers. These are composed entirely of non-terminating, non-repeating numbers.
The given number 9.233050612 can be written in the form P/Q as :
9.233050612 = [tex]\frac{9.233050612}{1000000000}[/tex]
Hence, the given number is a rational number.
To know more about rational and irrational numbers visit:
https://brainly.com/question/17450097
#SPJ9
The correct question is:
"9.233050612 is a rational or irrational number"
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Rita has a head start, has she began her race 28 Mile ahead of the starting point.
How to illustrate the information?Since they moved at a constant speed, then there speed is the same through out the journey.
Speed is given by the slope:
(y2 - y1) / (x2 - x1) = (130 - 65) / (2 - 1) = 65 / 1 = 65 mph
Roger's starting position, when t = 0
t = 1 ; distance = 65 miles
t = 0 ; 65 - speed per hour = 65
At t = 0 ; 65 - 65 = 0 miles
Hence, Roger does not have a head start.
For Rita :
Speed is also constant :
Speed or rate = slope of the graph :
(y2 - y1) / (x2 - x1) = (158 - 93) / (2 - 1) = 65 / 1 = 65 mph
Rita's starting position, when t = 0
t = 1 ; distance = 93 miles
t = 0 ; 93 - speed per hour
At t = 0 ; 93 - 65 = 28 miles
Hence, Rita has a head start of 28 miles.
Learn more about distance on:
https://brainly.com/question/23848540
#SPJ1
In the expression 38+27 y , which number is a coefficient?
27 is the number that is a coefficient.
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
A coefficient is a number or an alphabet that is multiplied by a variable of a single term or the terms of a polynomial. For example, in the term 7x, 7 is the coefficient. The coefficient of x in the term 3xy is 3y.
The variable is a symbol for a value we don't know yet. It is usually a letter like x or y.
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
In the expression 38 + 27y the coefficient of y is 27, 38 is the constant and y is the variable.
we can identify a coefficient since it is always associated with a variable.
For more information on coefficient click on the link below:
https://brainly.com/question/9369434
#SPJ4
i need help pleaseee
Answer:
UT=27
ST=18
RV=15
US=15
Step-by-step explanation:
If the entirety of RT is 30, then you'd divide that by 2 to receive the number for both RV and VT. 30 divided by 2 is 15.
Because RVS and UVT are vertical, they are both 27. Similarly, RVU and SVT are vertical to each other, so SVT is the same as RVU which is 18.
Hope this helps.
Mr.Rogers opened a savings account with an initial deposit of $4,000 and will not make any additional deposits or withdrawals. The account earns a 2% simple interest. What is the total amount that Mr.Rogers will have in his account at the end of 3 years?
Answer:
£4240
Step-by-step explanation:
2%of 4000=80
80x3=240
4000+240=4240
17.- En una caja hay 5 canicas azules 3 canicas rojas y 2 canicas verdes
¿Cuál es la probabilidad de sacar una canica roja?
Answer:
La probabilidad de sacar una canica roja seria 3/10 porque hay 10 canicas en total, 3 de ellas son rojas. Tambien se puede escribir 0.3 . Espero que esto te ayude.
I've been trying to figure this out for a while now, can I get some help? -53<9x+1<-26
Answer:
- 9 < x < - 3
Step-by-step explanation:
- 53 < 9x + 1 < - 26 ( subtract 1 from each interval )
- 54 < 9x < - 27 ( divide each interval by 9 )
- 6 < x < - 3
A negative sign indicates the ______ of the number?
Answer:
opposite
Step-by-step explanation:
Question below, only answer if you know
Answer:
1. translate
2.rotate
explanation:
first, translate a to the next quadrant.
second, rotate it 180 degrees.
Answer:
Figure A translated 2 figures down and mirrored to the right.
Figure A then rotated 180 degrees.
Please resolve it and list the steps the simplest way possible, thanks. ASAP if possible
Step-by-step explanation:
Looks like it's a piecewise defined function. Where you see a circle, means it's not inclusive so at f(1) it should be define at y=3
A 3-gallon bottle of fabric softener costs $40.32. What is the price per pint?
