Answer: C = 6.5l
Cost is $6.50 per yard.
Step-by-step explanation:
2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.
Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81
Joy wants 8 feet of fabric. First convert this to meters which would be:
= 8 feet x 0.305 meter per feet
= 2.44 meters
The cost of this fabric would therefore be:
= Cost per meter x Number of meters
= 1.15 x 2.44
= $2.806
= $2.81
In conclusion, the cost of the fabric would be $2.81.
Find out more at https://brainly.com/question/4220997.
in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram
The total number of students who studied only two subjects is 13.
The given parameters:
Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2xThe number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;
[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]
Thus, the total number of students who studied only two subjects is 13.
Learn more about overlapping three sets here: https://brainly.com/question/2041029
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.
Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: price of each bag of popcorn. y: the price of each pretzel.On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. This is expressed by 2x+5y= 37.25
Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. This is expressed by 8x+9y=102.25
So, the system of equations to solve is:
[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
So, isolating the variable x from the first equation:
2x+5y= 37.25
2x= 37.25 - 5y
x= (37.25 - 5y)÷2
x= 18.625 - [tex]\frac{5}{2}[/tex]y
Replacing in the second equation:
8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25
Solving:
8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25
149 - 20y + 9y=102.25
149 -11y= 102.25
-11y= 102.25-149
-11y= -46.75
y= (-46.75)÷ (-11)
y= 4.25
Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:
x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25
x= 18.625 - 10.625
x=8
Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
Learn more about system of equations:
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468 divided by 3 step by step solution
Answer:
156Step-by-step explanation:
468 ÷ 3
= 156
hope u liked the answer :)
#keep learningif valley middle school has 206 girls and the school has 450 what is the percent of how much girls are there?
Answer:
45.777777777778%
Step-by-step explanation:
Divide it
Hope this helps! ;)
2/10 = 20%= 0.2
True or false
Answer:
True
Step-by-step explanation:
Help me solve this please!
Answer:
x=15
Step-by-step explanation:
if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides
How do you factor x³-9?
Answer:
(x² + 3)(x-3)
Step-by-step explanation:
Since the exponent is uneven you can take 2 and 1 and add them to the x's multiply to get 3 and since 9 is a perfect square you can square root it and get 3 which you put on both sides. Since the 9 is negative one of the symbols have to be negative, usually put in the second parenthesis.
Hope this helps!
PLEASE NO LINKS AND NO NEGATIVITY
Answer: bring the purple column to 5 and then green to 6
Step-by-step explanation: you need to divide which results you with 5/6
Answer: It takes john 1.2 months to read one book
Step-by-step explanation:
In - order to find out the answer we need to do [ months / books ] --> 12 / 10
what is 12 divided by 10 ? 1.2
PLEASE HELP ME
Solve 2x^2-x>15
Show your work
Answer:
x < -5/2 or 3 < x
Step-by-step explanation:
Subtracting 15 puts the relation into a more standard form:
2x^2 -x -15 > 0
(2x +5)(x -3) > 0 . . . . . factor
The zeros of these factors are x = -5/2 and x = 3.
For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.
The solution is ...
x < -5/2 or 3 < x
_____
Additional comment
Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.
Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...
-30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)
The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:
x(2x +5) -3(2x +5)
(2x +5)(x -3) . . . . . . . the factorization we show above.
__
You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.
Gas grills are on sale 20% off. The sale price of the grill that I like is $399.20. What was the original price of the grill?
Answer:
499
Ste-by-step explanation
80 percent of the original price is left.
If you divide by 4 you get 99.8 which is 20% of the original price. Then if you multiply 99.8 by 5 you will get 100% of the original price which is 499
You can also do 399.2 * 1.25 = 499
WHO CAN HELP ME ON THIS? Due soon!
You are selling candy for $2 each and burgers for $5 each. You have a budget for $150. The equation for this situation can be written as 2x+5y=150
Find the x intercept and y intercept. Show all work.
If you are selling 0 burgers, how many candies did you sell? Show your work.
If you are selling 0 burgers, how many candies did you sell? Show your work.
Which number line correctly shows 4.5 – 2.5?
a) A number line going from 0 to 4.5 in increments of 0.5. An arrow goes from 0 to 4.5 and then backwards from 4.5 to 2.
b) A number line going from negative 4.5 to 0 in increments of 0.5. An arrow goes from negative 4.5 to negative 2 and then backwards from 0 to negative 4.5.
c) A number line going from negative 2.5 to positive 4.5 in increments of 0.5. An arrow goes from negative 2.5 to 0 and also from 0 to 4.5.
d) A number line going from negative 4.5 to positive 2.5 in increments of 0.5. An arrow goes from 2.5 to 0 and from 0 to negative 4.5.
Answer:
its A i think
Step-by-step explanation:
Hope this helps!
the height and diameter of a cylinder are 21 cm and 12 cm. find the volume of cylinder
Answer:
the answer is 6930 cm3.
Step-by-step explanation:
please mark my answer in brainlist
A typical tip at a restaurant is 18% of the total bill. If the bill is $60, what would the typical tip be?
The typical tip would be $_________.
Jack is 3 times as old as Lisa. If their ages together is 24, how old are they both?
if you can answer any of these that would be great !
Answer:
Step-by-step explanation:
number 2) 0
What the vertex of y=4(x-3)^2+3
Answer:
(3,3)
Step-by-step explanation:
we rewrite in vertex form and use this form to find the vertex (h,k)
If y varies inversely with x and y = 5 when x = 4, which equation that relates x and y?
Select one:
multiply the expression (1/3 m-n)^2
Answer:
{(
what's 1+1 ???
enjoy!
A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag
These are samples of student work. Both students got the same answer, but did the work differently. Which student did the work correctly?
Answer:
Student B did the problem corectly
Step-by-step explanation:
Student a did 3*4 while student B did 3*3*3*3 which would equal 27
The table shows the population of a small town over time. The function P = 10,550(1. 1)x models the population x years after the year 2000. A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050.
The population model is most sufficient for 2005 because 2005 is the closest to 2000
The population function is given as:
[tex]P(x) = 10550(1.1)^x[/tex]
From the question, we understand that the population model is for years after 2000.
This means that the model cannot be used for the year 1950; because 1950 is before 2000.
The model can be used for years 2005, 2025 and 2050.
However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time
Read more about population functions at:
https://brainly.com/question/15680851
Answer:
B!
Step-by-step explanation:
Gary multiplied ab and ab' as shown below.
(a+b)(ab) - ab?
Is Gary's answer correct?
Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab
Find the HCF of x 2 y 3 and x 3 y
Answer:
the answer is to the question is x2×y×3
Use the linear combination method to solve the system of equations. â€""3x 8y = 16 3x 4y = 8 What is the value of x? â€""1 0 1 2.
The value of x from the system of equation is 0
Given the systems of equation
–3x + 8y = 16
3x + 4y = 8
Using the elimination method.
Add both equations
-3x + 3x + 8y + 4y = 16 + 8
12y = 24
y = 24/12
y = 2
Substitute y = 2 into equation 2:
3x + 4y = 8
3x + 4(2) = 8
3x = 8 - 8
3x = 0
x = 0
Hence the value of x from the system of equation is 0.
Learn more on simultaneous equations here:https://brainly.com/question/185757
Select the four equivalent expressions to 4x^2 - 4x -24
A - 2x^2 - 2x - 12
B - 4(x^2 - x - 6)
C - 4(x - 3)(x + 2)
D - (2x - 2x)^2 - 24
E - (4x - 12)(x +2)
F - (x - 3)(4x + 8)
Answer:
b. 4(x^2 - x - 6)
c. 4(x - 3)(x + 2)
e. (4x - 12)(x +2)
f. (x - 3)(4x + 8)
hope it helps :)
mark brainliest!!
The difference between a and 10 is less than 5
2th grade Student 1+1=11?!? my teacher told me that
Answer:
Not much sure if this is a joke but 1+1 is 2 not 11.
Step-by-step explanation:
I hope I helped.
Have a great day ;)