SYSTEM OF EQUATIONS- I struggle with this
Person A wants to order a bunch of shirts. One website charges 9.65 per shirt, plus a set up fee for $43. Another company charges 8.40 per shirt plus a $58 fee. But what number of shirts would the cost be the same? Why?
Answers
Answer:
12 shirts
Step-by-step explanation:
First, we need to write our equations. Let x be the number of shirts and y be the cost. We will multiply the number of shirts bought (x) by the price and then add the setup fee.
To answer the overall question, we will graph the two equations we create. Their point of intersection is the solution, or where the number of shirts bought would cost the same.
"One website" - 9.65 per shirt, plus a set up fee for $43
y = 9.65x + $43
"Another company" - 8.40 per shirt plus a $58 fee
y = 8.4x + $58
See attached for the graph.
They intersect at point (12, 158.8) meaning that both websites will charge $158.80 for 12 shirts.
Related Questions
Find the numerator ?/2 > 1/5
Answers
There was a bottle of milk at home. After the brother drank 1.94L of it, there were 0.56L left. How many litres of milk was there at the beginning?
Answers
Answer:
add the 1.94+0.56 to get 2.5 liter
Step-by-step explanation:
wow, he drank almost 2 liters of milk more or less in one turn ? he might spend quite some time in the bathroom ...
anyway, x = original amount of milk.
x - 1.94 = 0.56 now we add 1.94 to both sides
x = 2.5 L
What is the length of a diagonal of rectangle EFGH?
Answers
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
First, we find out the length of EH, which is 7. And then, we find the length of GH, which is 3. If we square both the numbers and add them, we get 53. And then we square root that to get [tex]\sqrt{53}[/tex]
Hope this helps <:)
Don't forget to put brainliest!
Use a diagram to show that (3x+1)(x+2) is equivalent to 3x2+7x+2.
Answers
3x*2 = 6x
x*1 = x
1*2 = 2
that's basically the FOIL method, multiply first terms, the x terms
then the outside terms, the the inside terms, then the constant (last) terms
F=first, O=outside, I = Inside, L = last
add them up to get 3x^2 +6x +x + 2 = 3x^2 +7x +2
(3x+1)(x+2) = 3x^2 +7x+2
draw a rectangle with one side as 3x+1, the other side as x+2. The area of the rectangle is their product
divide the rectangle into 4 smaller rectangles. with sides 3x by x, 3x by 2, x by 1 and 2 by 1
calculate the areas of each rectangle the sum them.
standard form is
y=ax^2 +bx + c or
f(x) = x^2 +7x +2 where a=1, b=7, c=2
another standard form is to put the quadratic equation in vertex form
by completing the square
f(x) or y = x^2 +7x + 49/4 = -2 + 49/4
y = (x+3/2)^2 = 41/4
where the vertex = (3/2,41/4)
standard equation in vertex form is
y= a(x-h)^2 + k where (h,k) = vertex = (3/2,41/4) with a=1
It's an upward opening parabola with y intercept = 41/4 = 10 1/4, axis of symmetry x=3/2
please answer . thanks in advance
Answers
Answer:
Step-by-step explanation:
If they are the same, the ratio of length to width when reduced to the lowest terms are
Large rectangle L/w = 36/24 = 3/2
Small triangle L/w = 24/18 = 4/3
Answer: The ratios are not the same. The rectangles are not similar.
-4x + 3y = 29
5x + y = -3
solve by substitution
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
y = 7x = -2Explanation:
-4x + 3y = 29 __ equation 15x + y = -3make x the subject in equation 2,
5x + y = -3
y = -3 - 5x __ equation 2
using substitution method,
-4x + 3(-3 - 5x) = 29
-4x -9 -15x = 29
-19x = 38
x = -2
Find y,
y = -3 - 5x
y = -3 - 5(-2)
y = 7
Which number is the smallest?
A. 817.9
B. 871.003
C. 817.1
D. 817.099
Answers
Answer:
D.
Step-by-step explanation:
817.099 is the smallest
please give brainliest
American Eagle is having a 60 % clearance sale on all summer merchandise. The consumer purchased $342.57 of the summer merchandise. What is the final cost to the consumer? Sales tax is 5%.
Answers
Answer:
$143.88
Step-by-step explanation:
Look at image above...
I did not add this to the picture but to get the new total of $137.03, you need to subtract $205.54 (the 60% off) from the original total.
15. If y varies directly as x and y = 540 when x = 10, find x when y = 1080
Answers
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x[/tex]
The value of x when y = 1080 for the condition when its given that y varies directly as x and that y = 540 when x = 10, is found to be x = 20
Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For this case, it is specified that y varies directly as x.
That means
[tex]y \propto x\\or\\y = kx[/tex]
At x = 10, y is 540. Putting these values in the equation y = kx as they're related, we get:
[tex]540 = k \times 10\\\\\text{Dividing both the sides by 10}\\\\\dfrac{540}{10} = k\\\\k = 54[/tex]
Thus, the relationship between x and y is: y = 54x
Now, when y = 1080, we get:
[tex]1080 = 54x\\\\\text{Dividing both the sides by 54}\\\\\dfrac{1080}{54} = x\\\\x = 20[/tex]
Thus, the value of x when y = 1080 for this condition is when x = 20.
Learn more about directly related variables here:
https://brainly.com/question/13082482
#SPJ4
the first day of shooting a movie, a director uses 30% of a film reel. The strip of
film used was 90 meters long.
What is the standard length on a film reel?
Answers
Answer:
27
Step-by-step explanation:
30% of 90 can be written as 30% × 90
= 30/100 × 90
= 27
After eating at the restaurant, Tom, Mary, and
Sara decided to divide the bill evenly. If each
person paid 42 dollars, what was the total of the
bill?
Answers
Answer:
$126
Step-by-step explanation:
since they divided it evenly therefore everyone paid $42 you just times that by the amount of people. there is tom, mary and sara therefore 3. 42*3=126
Answer:
total bill was $126
Step-by-step explanation:
3 people ate: Tom, Mary and Sara
if they split the bill evenly, they would all pay the same amount
if each person paid 42 dollars, you just multiply that amount by the number of people
42 x 3 = 126
The swimming pool shown below has a 6 foot wide concrete deck around it.
What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232
Answers
Area of the rectangle inside:-
32(16)=512ft^2Area of the rectangle outside
28(44)=1232ft^2Area of the deck:-
Area of rectangle outside-inside1232-512720ft^2Answer:
pretty sure it's D for this question
How many nickels to make 20
Answers
Answer:
if you're talking 20 cents, then 4, if you're talking dollars, then 400.
tell me pls if you want an explanation.
Answer:
400 nickels
Step-by-step explanation:
How many nickels to make $20?
1 nickel = 5 cents ($0.05)
? nickels = $20
How many nickels make $1?
0.05x = 1
/0.05 /0.05
x = 20 <== 20 nickels make $1
How many nickels make $20?
20x = $20
20(20) = $20
400 = $20
This means that 400 nickels make $20
Hope this helps!
A cube has a surface area of 600 square centimeters. What is the side length?
Answers
Answer:
10 cm
Step-by-step explanation:
The formula for finding the surface area of a cube is 6 x (side length)^2.
Since the surface area equals 600, you can divide the surface area by 6 (because a cube has 6 faces) so that becomes 100. The square root of 100 is 10, so the side length is equal 10 cm.
please help
The table below shows the number of hours that a
scientist has been observing bacteria in a petri dish
Answers
Answer:
In the beginning there were 20 bacterias in the petri dish.
PLEASE HELP!!! I am stuck!!
How do I get question c)
Answers
Answer:
When the actual temperature is -14 degrees Celsius, the wind chill equivalent temperature would be -22.2 degrees Celsius.
When the actual temperature is 3 degrees Celsius, the wind chill equivalent temperature would be 0.6 degrees Celsius.
Step-by-step explanation:
There is a + 1.2 pattern going right. So each time you increase the actual temperature by 1, you increase the wind chill equivalent temperature by 1.2
A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3. 14 for π, and round your answer to the nearest hundredth. 38. 47 units2 94. 99 units2 153. 86 units2 379. 94 units2.
Answers
The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
What is circumference and area of the circle?Circumference of the circle is the length of its boundary. It can given as,
[tex]P=2\pi r[/tex]
The area of the circle is the space occupied by it. It can be given as,
[tex]A=\pi r^2[/tex]
Here (r) is the radius of the circle.
A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,
[tex]P=4\times5.5\\P=22\rm\; units[/tex]
The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,
[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]
The area of this circle is,
[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]
Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
Learn more about the circumference and area of the circle here;
https://brainly.com/question/402655
please help with angle addition
Answers
Answer:
m∠1 = 89°
Step-by-step explanation:
Since m∠2 is a part of ∠GFH, he can do the following.
∠GFH - m∠2 = m∠1
133° - 44° = 89°
Please help I will give brainliest.
Answers
2. 5
Hope this helps.
The small cylinder can fill the big cylinder to a height of 5cm. Work out the radius if the big cylinder
Answers
write -5 as a logarithim with a base of 4
Answers
Answer:
[tex]log_4(\frac{1}{4^5}) = -5[/tex]
Step-by-step explanation:
[tex]log_b(a) = c[/tex] ↔ [tex]b^c = a[/tex]
You are given [tex]b[/tex] = 4
You re also given [tex]c[/tex] = -5
To find a, use the exponential form:
[tex]b^c = a[/tex]
[tex]= (4)^{-5} = \frac{1}{4^5} = a[/tex]
Then you can convert into a logarithm.
[tex]log_4(\frac{1}{4^5}) = -5[/tex]
Answer:
There are multiple ways of writing this:
[tex]\sf -5log_4(4)=log_4(4^{-5})=log_4\left(\dfrac{1}{4^5}\right)=log_4\left(\dfrac{1}{1024}\right)[/tex]
Step-by-step explanation:
Log rule: [tex]\sf log_a(a)=1[/tex]
[tex]\sf \implies log_4(4)=1[/tex]
[tex]\sf \implies -5log_4(4)=-5[/tex]
Log rule: [tex]\sf c \cdot log_ab=log_a(b^c)[/tex]
[tex]\sf \implies -5log_4(4)=log_4(4^{-5})[/tex]
[tex]\sf = log_4\left(\dfrac{1}{4^5}\right)[/tex]
[tex]\sf = log_4\left(\dfrac{1}{1024}\right)[/tex]
A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles. How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.
Answers
The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.
Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
Answer:
d
Step-by-step explanation:
i just finished the test
Given that the measure of 2x is 45°, and the measure of zy is 499, find the
measure of z
Answers
Answer:
86 degrees
Step-by-step explanation:
The angles of a triangle all add up to 180.
x is 45 degrees
y is 49 degrees
49 + 45 = 94
180 - 94 = 86
The last angle of the triangle is 86 degrees. Since z is on the opposite side of it, it is equal to 86
solve for x:
-3(x-2)^2+17=0
round your answer to the nearest hundredth
Answers
Answer:
-3(x-2)×2+17=0
-3x+6×2+17=0-3x+12+17=0-3x+29=0-3x=0-29=-29-3x=-2929÷3=9.700 to the nearest hundredthHey, need to solve for x
2(x-3)=9x+8
Answers
Answer:
x = -2
Step-by-step explanation:
2x-6 = 9x+8
-7x = 14
x = -2
PLEASE RATE!! I hope this helps!!
which is closer to -3/5 … 2/5, -0.2, -4/5, 0.6
Answers
-3 : 5 = - 0,6
so it will be - 4/5 (= - 0,8)
The circumference of a circle is 15pi centimeters. What is the area of the circle in terms of pi?
Answers
Answer: [tex]56.25\pi[/tex]
Step-by-step explanation:
The circumference of a circle can be found using [tex]d\pi[/tex], where d is the diameter. In this case, we can clearly see the diameter is 15.
Next, we must find the radius as the formula for the area of a circle is [tex]\pi r^2[/tex]
The radius is half of the diameter. [tex]\frac{15}{2} =7.5[/tex]
Now sub in this value for the formula of the area of a circle
[tex]\pi r^2\\\\\pi (7.5)^2\\\\56.25\pi[/tex]
Answer:
56.25[tex]\pi[/tex]
Step-by-step explanation:
circumference=2[tex]\pi r[/tex]
15[tex]\pi[/tex]=2[tex]\pi r[/tex]
r=7.5
Area=[tex]\pi r^{2}[/tex]
=[tex]\pi * 7.5^{2}[/tex]
= 56.25[tex]\pi[/tex]
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
Answers
Answer:
4 red marbles
Step-by-step explanation:
green marbles = 9r
red marbles = r
9r + r = 40
10r = 40
r = 4 = red marbles
Benjamin wants to purchase a new bike, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Benjamin?
He can save money and write a check once there is enough money in his account.
He can use his debit card to purchase the bike now.
He can save money and pay cash once he has enough.
He can use his credit card to purchase the bike now.
Answers
apter 13
4. The base rate for workers' compensation insurance for roolers
in one state is $16.95 per $100 paid to employees. The total
monthly payroll for Certified Roofing is $15,738.00. What is the
monthly premium for workers' compensation insurance?
Answers
Answer:
$2,667.59
Step-by-step explanation:
The insurance premium is found by multiplying the payroll amount by the premium rate.
($15,738) × $16.95/$100 = $15,738 × 0.1695 ≈ $2,667.59
The monthly workers' compensation insurance premium is $2,667.59.
_____
Additional comment
The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.
Answer:
The roofers in that state must have an exceptionally high rate of accident, injury, or illness. Many places, the average rate of workers' comp insurance is less than $2 per $100.
Step-by-step explanation: