Answer:
81[tex]y^{8}[/tex][tex]z^{4}[/tex]
Step-by-step explanation:
The GCF of two numbers is 3.
Their LCM of the two numbers is less than 20.
Which could not be the two numbers?
Answer:
Step-by-step explanation:
Let say a and b the 2 natural integers with 0 < a< b.
Since a*b=GCF(a,b)*LCM(a,b)
a*b < 3*20=60
[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]
Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
1.Write the linear equation that models the equation?
2.What is the cost per T-shirt?
3.What is the standard shipping and handling bag?
Step-by-step explanation:
Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.
The second word problem is:
It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)
Cost= m x+b
x is the cost per shirt, b is the handling charge
295=40m+b
565=80m+b
subtract the first equation from the second:
370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b
One the second question,
Cost= variable cost * n + Fixedcosts or
cost= n*v+F
1250=500v+f
1050=100v+f
subtract the second equation from the first
200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.
Determine the supplement of each angle measure.
63°
Answer:
117 is the answer of your questions
Step-by-step explanation:
supplement=180
given angle=63
180-63=117
Write in mathematical expression and simplify "5 tiems the sum of 12 and 8".
Step-by-step explanation:
5(12+8)...
if my answer helps you than mark me as brainliest.
Point W is on line segment V X. Given VX = 18 and VW = 14 determine the length W X
Answer: WX = 4
Concept:
Here, we need to know the idea of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
VX = 18
VW = 14
Given expression deducted from the segment addition postulate
WX = VX - VW
Substitute values into the expression
WX = 18 - 14
Simplify by subtraction
WX = 4
Hope this helps!! :)
Please let me know if you have any questions
What is (x)
9.4x+17.5
Answer: x=1.8617
Step-by-step explanation: 9.4x+17.5 9.4x/9.4=17.5/9.4 x=1.8617
step by step
6x+1<9-2x
2x-1 less than or equal to 5x+20
3-(2x-7) less than or equal to 34-6x
Answer:
6x+1<9-2x
6x+2x<9-1
8x<8
x<1
2x-1 ≤ 5x+20
2x-5x≤20+1
-3x≤21
x≥-7
3-(2x-7) ≤ 34-6x
3-2x+7 ≤ 34-6x
-2x+6x ≤ 34-3-7
4x ≤ 24
x ≤ 6
Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.
Answer:
y = 1/2x + 11
Step-by-step explanation:
y = 1/2x + b
9 = 1/2(-4) + b
9 = -2 + b
b = 11
PLEASE HELP COMPARING RATIOS
Answer:
8 minutes per customer in Restaurant One.
6 minutes per customer in Restaurant Two.
7 minutes per customer in Restaurant Three.
Restaurant Two had the fastest service.
Method:
I divided the time it took – for example – 48 divided by 6. I would do this because I wanted to find out each person took (6 people), and the amount of time it took for each person to get their food. I would use division for this problem because I am finding how much each person took out of the whole time.
Answer
The 2nd restaurant is the fastest
Step-by-step explanation:
I. Compare Time per Customers
When 1st restuarant = 48/6 = 9
2nd restuarant = 42/7 = 6
3rd restuarant = 63/9 = 7
Given if in 1 min, I can serve 20 customers = 1/20 = 0.05
in 1 min, He can serve 10 customers = 1/10 = 0.1
See the different? I can serve better than him.
So The answer is the 2nd restuarant.
Hope that help :D
What is 3(x-6)+12=6(x+1)-3x show your work.
Answer:
No solution.
Step-by-step explanation:
3(x - 6) + 12 = 6(x + 1) - 3x
3x - 18 + 12 = 6x + 6 - 3x
3x - 6 = 3x +6
-6 = 6
-6 ≠ 6
How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]
The side of a cube is 3^4 centimeters long. What is the volume of the cube?
Step-by-step explanation:
v=s^3 s=3^4=81
v=(81)^3
v=531,441 cm^3
Bacteria of species A and species B are kept in a single environment, where they are fed two nutrients. Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient. Each bacterium of species A requires 4 units of the first nutrient and 5 units of the second, and each bacterium of species B requires 1 unit of the first nutrient and 6 units of the second. What populations of each species can coexist in the environment so that all the nutrients are consumed each day?
Answer:
4570 species of the type A and 1540 species of the type B.
Step-by-step explanation:
A:
1st: 4 units
2nd: 5 units
B:
1st: 1 unit
2nd: 6 units
A=x, B=y
4x + 1y = 19820 units of the first nutrient
5x + 6y = 32090 units of the second nutrient
5x + 6*(19820-4x) = 32090.
32090 - 6(19820-4x)
x= ------------------------------------- = 4570
5-24
y = 19820 - 4*4570 = 19820 - 18280 = 1540.
ANSWER: 4570 species of the type A and 1540 species of the type B.
Hopes this solves it.
The populations of each species can coexist in the environment so that all the nutrients are consumed each day are 4530 and 10600
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given;
Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient
2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available
Now,
Let the number of bacteria of Specie A and Specie B be x and y respectively;
To find : Number of Bacteria 1 and Bacteria 2
Nutrient 1 Constraint Equation : 4x + y = 19660
Nutrient 2 Constraint Equation : 5x + 6y = 31890
Putting the value of y from 1st equation in 2nd equation;
5x + 6 (19660 - 4x) = 31890
5x + 117960 - 24x = 31890
117960 - 31890 = 19x
19x = 86070
x = 86070 / 19 = 4530 { Bacteria A}
Putting the value of x in 1st equation;
2 (4530) + y = 19660
9060 + y = 19660
y = 19660 - 9060= 10600{Bacteria B}
Therefore, the solution of equations will be 4530 and 10600
To learn more about simultaneous equations :
brainly.com/question/16763389
#SPJ2
The length of each side of an equilateral triangle having an area of 9√3 cm² is
Answer:
6 cm
Step-by-step explanation:
Let each side of the equilateral triangle be a.
Given, area of an equilateral triangle = 9√3 cm2
Area of an equilateral triangle = (√3)/4 × (Side)²
=> (√3)/4 × a² = 9√3
[tex] {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4[/tex]
=> a² = 36
[tex] \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6[/tex]
∴ Side = 6 cm [taking positive square root because side is always positive]
another easy question pls answer
Answer:
22.5 degrees and 67.5 degrees
Step-by-step explanation:
complementary angles add up to 90°
x + 3x = 90°
4x = 90
90/4 = x
x = 22.5
The first angle is 22.5
The second angle is 3 times as much
22.5 x 3 = 67.5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
s= zh - 2zt^3 solve for z
Hi ;-)
[tex]s=zh-2zt^3\\\\z(h-2t^3)=s \ \ /:(h-2t^3)\\\\z=\dfrac{s}{h-2t^3}[/tex]
Answer:
z = [tex]\frac{s}{h-2t^3}[/tex]
Step-by-step explanation:
Given
s = zh - 2zt³ ← factor out z from each term
s = z(h - 2t³ ) ← divide both sides by h - 2t³
[tex]\frac{s}{h-2t^3}[/tex] = z
Which is the graph of the equation y- 1= 5(x-3)?
Answer:
linked below
Step-by-step explanation:
If you use desmos, it show this which is the correct graph :)
suppose a 13 foot ladder is leaning against a building. Reaching to the bottom of a second floor window 12 ft above the ground. How far is the base of the ladder from the building? Round your answer to the nearest 10th
5 ft
4ft
3ft
6ft
Answer: First Choice. 5ft
Step-by-step explanation:
Here we need to know the idea of the Pythagorean theorem.
Since a building is straight, the base angle is a right angle, thus it would be a right triangle.
Pythagorean Theorem: a² + b² = c²
**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)
Solve:
Given information
a = 12 ft
c = 13 ft
b = unknow base length
Given formula for Pythagorean Theorem
a² + b² = c²
Substitute values into the formula
12² + b² = 13²
Simplify exponents
144 + b² = 169
Subtract 144 on both sides
144 + b² - 144= 169 - 144
b² = 25
Square root both sides
√b² = √25
[tex]\boxed{b=5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I wrote a cheque for $10 and he threw my 2 dollar how much do I have left
Answer:
you have $ 8
Step-by-step explanation:
cheque wrote ,=$10
and he threw =$2
then total $ left will be $8
please mark me brainleast
When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?
Answer:
15
Brainliest, please!
Step-by-step explanation:
r = kp/(st)
p = 12, t = 2, s = 5, r = 18
18 = k(12)/(2)(5)
18 = 12k/10
12k = 180
k = 15
Sin A 4/5.
Find
COSA + tan A
Answer:
Step-by-step explanation:
The opposite side (the one not connected to A) = 4
The hypotenuse is 5
The adjacent side needs to be found for the cosine and the tangent.
a^2 + b^2 = c^2
a = opposite side = 4
b = adjacent side = ?
c = hypotenuse = 5
4^2 + x^2 = 5^2
16 + x^2 = 25
x^2 = 25 - 16
x^2 = 9
x = sqrt(9)
x = 3
cos(A) = adjacent / hypotenuse = 3/5
Tan(A) = opposite / adjacent = 4/3
cos(A) + tan(A) = 3/5 + 4/3
cos(A) + tan(A) = 9/15 + 20/15 = 29/15
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)
Answer:
4.2
Step-by-step explanation:
d=sqrt[(x1-x2)^2+(y1-y2)^2]
d=sqrt[(5-8)^2+(-5+8)^2]
d=sqrt[(-3)^2+(3)^2]
d=sqrt[9+9]
sqrt18=4.24
HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f
Answer:
-2 + 4f
Step-by-step explanation:
6 - 8 + 6f - 2f
2(3 - 4 + 3f -f) [Distributive Property]
=> 2(-1 + 3f - f)
=> 2(-1 + 2f)
=> -2 + 4f
Answer:
4f-2
Step-by-step explan:
6-8+6f-2f
6-8+4f
4f-2
PLZ HELPP
Q: Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off
into streams, the nitrates can have a toxic effect on
fish. An ecologist studying nitrate pollution in two
streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots display the data.
1. Explain what the dot above 12 in the Stony Brook graph represents.
By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L
To understand this, first I want to give a brief explanation of how these graphs work.
You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.
Each of these 42 places is represented with a dot in the corresponding graph. Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).
So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L
If you want to learn more, you can read:
https://brainly.com/question/16354226
Which fractions are equal to 0.375?
The fraction that is equal to 0.375 is 3/8.
Hope this helps! :)
what is the shaded region known as
The shaded region of a circle formed by one line as shown in the image is called a segment.
Answer: segment
QUICK PLEASE!!!
Consider f(x) Equals StartFraction 8 (x minus 1) Over x squared + 2 x minus 3 EndFraction.
Which statements describe the existence of vertical asymptotes at x = –3 and x = 1?
Answer:
A
Step-by-step explanation:
edge 2021
Answer:
It is A
Step-by-step explanation:
I got it right on the test Edge 2022.
In algebra - what can the letter "d" represent? For example, what does "d" stand for in this expression "2d + 3"? *
Answer:
A constant you need to find when given what the equation is equal to.
Answer:
Here, 'd' is the variable of 2.
What 2 divided by 188
Answer:
1/94
Step-by-step explanation:
2/188 = 1/94
Answer:
0.01063829787.
Step-by-step explanation:
Caculator.
HELP ME PLZ. I have no clue how to do this.
Answer:
32
Step-by-step explanation:
3x+1=8x-24
25=5x
x=5
3 times 5 plus 1 is 16 and so the length is 32
comment section:
XM=MY because MN is segment bisector
XM=3x+1=3*5+1=16=MY and since XM+MY=XY 16+16=32
