Which relationship is always true for the angles x, y, and z of triangle ABC?
a
x + z = y
b
y + z = x
c
x + y + z = 180 degrees
d
x + y + z = 90 degrees
Simplify (5^1/3)^3
A) 5^3
B) 1/5
C) 5
D) 5^9
Use the rule (a^b)^(c) = a^(bc).
[5^(1/3)]^(3)
5^(1/3)(3)
5^(1)
Answer: 5
What is the length of line with endpoints (5,-7) and (5,11)
Answer:
18 units
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
3. A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to the retail stores for Php2500 each and the design B jogging pants for Php2100. The cost for manufacturing each design A is Php1750 and the cost of each design B is Php1200. If the company makes no more than 120 jogging pants a week and budgets no more than Php150000 per week, how many of each type should be made to maximize profit?
Answer:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Step-by-step explanation:
Jogging pants design Selling Price Cost
weekly production
Design A x₁ 2500 1750
Design B x₂ 2100 1200
1. z ( function is : )
z = 2500*x₁ + 2100*x₂ to maximize
First constraint weekly production
x₁ + x₂ ≤ 120
Second constraint Budget
1750*x₁ + 1200*x₂ ≤ 150000
Then the model is
z = 2500*x₁ + 2100*x₂ to maximize
Subject to
x₁ + x₂ ≤ 120
1750*x₁ + 1200*x₂ ≤ 150000
General constraints x₁ ≥ 0 x₂ ≥ 0 both integers
First table
z x₁ x₂ s₁ s₂ cte
1 -2500 -2100 0 0 0
0 1 1 1 0 = 120
0 1750 1200 0 1 = 150000
Using AtoZmath online solver and after 6 iterations the solution is:
z(max) = 256000 Php
x₁ = 10
x₂ = 110
Amy, Justin, and Henry sent a total of 70 text messages during the weekend. Justin sent 10 fewer messages than Amy. Henry sent 2 times as many messages as Amy. How many messages did they each send?
Answer:
justin 10+ Amy 20 + henry 40+ do answer would be 10+20+50=70
explanation
I took justin and timed it by two then half of 20 is 10 then timed it by two again which 20*2 is 40
add it all together and you get 70
Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.
System of equationsThese type of equation consists of equation with unknown variables.
Let the number of messages sent by amy be x
Let the number of messages sent by Justin be y
Let the number of messages sent by Henry be z
If the total number od mesages sent is 70, hence;
x + y + z = 70
If Justin sent 10 fewer messages than Amy, then;
y = x - 10
If Henry sent 2 times as many messages as Amy, then;
z= 2x
Substitute
x + x - 10 + 2x = 70
4x = 70 + 10
4x = 80
x = 20
Recall
y = x - 10
y = 10
Also z = 2x
z = 2(20)
z = 40
Hence Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.
Learn more on system of equation here: https://brainly.com/question/13729904
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James ran 4 laps and walked 2 laps when running his average speed was 2.5 minutes per lap when walking his average speed was 4.9 minutes per lap how long did it take james to complete the 6 laps
Answer:11.1 I believe?
Step-by-step explanation:
Forgive me if I am wrong.
Answer:
14.8
Step-by-step explanation:
im gessing thats what it is
if the supply and demand functions for a commodity are given by p-q=10 and q(2p-10)=2100, what is the equilibrium price and what is the corresponding number of units supplies and demanded
Answer:
If p - q = 10, then p = 10 + q. Replace the other p with this:
q(2(10 + q) - 10) = 3600
q(20 + 2q - 10) = 3600
q(10 + 2q) = 360
The equilibrium point of a demand and supply function is the point where both functions are equal.
The equilibrium price is 40, and the corresponding demand is 30 supplies
Given
[tex]p- q = 10[/tex] --- the supply function
[tex]q(2p - 10) = 2100[/tex] --- the demand function
Make q the subject in [tex]p- q = 10[/tex]
[tex]q = p - 10[/tex]
Substitute [tex]q = p - 10[/tex] in [tex]q(2p - 10) = 2100[/tex]
[tex](p - 10)(2p - 10) = 2100[/tex]
Factor out 2
[tex]2(p - 10)(p - 5) = 2100[/tex]
Divide both sides by 2
[tex](p - 10)(p - 5) = 1050[/tex]
Open brackets
[tex]p^2 -10p - 5p + 50 = 1050[/tex]
[tex]p^2 -10p - 5p + 50 - 1050 =0[/tex]
[tex]p^2 -15p - 1000 =0[/tex]
Expand
[tex]p^2 -40p + 25p- 1000 =0[/tex]
Factorize
[tex]p(p -40) + 25(p- 40) =0[/tex]
Factor out p - 40
[tex](p+ 25) (p- 40) =0[/tex]
Solve for p
[tex]p = -25[/tex] or [tex]p = 40[/tex]
The price cannot be negative.
So: [tex]p =40[/tex]
Recall that:
[tex]q = p - 10[/tex]
[tex]q = 40 - 10[/tex]
[tex]q = 30[/tex]
Hence, the equilibrium price is 40, and the corresponding number of supplies is 30
See attachment for the graphs of both functions
Learn more about equilibrium price and quantity at:
https://brainly.com/question/11161357
ELP ME PLEASE WILL GIVE BRAINLIEST IF QUICK
Answer:
x = 24
y = 10
z = 17
Step-by-step explanation:
4z - 32 = 36
4z = 68
z = 17
6x - 29 = 115
6x = 144
x = 24
36 + 115 = 151
180 - 151 = 29
3y - 1 = 29
3y = 30
y = 10
Find the range for the observations,5.6,7.1,8.3,3.7,6.8,4.1,8.4,2.7,4.4,8.2,2.8
Answer:
the range is 8-1=7
Step-by-step explanation:
Solve for the distance between the points (0, -9) and (-4, 3).
Question 3 Evan thinks that the slope of the true line of best fit for Pick Number and Career Length is not zero: that is, there is some correlation/association between Pick Number and Career Length. To test this claim, we can run a hypothesis test! Define the null and alternative hypothesis for this test.
Answer:
Null hypothesis ; H0 : slope = 0
Alternative hypothesis ; H1 : slope ≠ 0
Step-by-step explanation:
Given the claim:
slope of the true line of best fit for Pick Number and Career Length is not zero.
The Null hypothesis H0 : will negate the claim in this scenario ; hence ;
H0 : slope of line of best fit for pick number and career length = 0
The Alternative hypothesis, H1 : is the opposite of the null ;
H1 : slope of line of best fit for pick number and career length ≠ 0
HURRY PLEASE!! I NEED TO TURN THIS IN SOON!!!
I WILL GIVE YOU BRAINLIEST!!
i need the equation you used to solve it with also!
Answer:
Step-by-step explanation:
3x-11+6x-10+x=180
10x-21=180
10x=201
x=20,1
Find the slope of the line ?? Hurry ,thank you
Answer: (1-, 1)
Step-by-step explanation:
Thats the middle making it the slope
Write the recursive rule for the arithmetic sequence82, 76, 70, 64, ...
A) a1=82; an= an-1-6
B) a1=64; an= an-1-6
C) a1=82; an= an-1+6
D) a1=64; an= an-1+6
answer fast pleaseee
Answer: the answer is A
Step-by-step explanation:
Jack had $10.00. He bought a pair of socks for $2.30 and a pair of gloves for $5.50. How much money did he have left?
Answer:
Jack has $2.20 left.
Step-by-step explanation:
We have to add 5.50 and 2.30 to find his cost.
2.30 + 5.50 = 7.80.
Then, subtract it from $10.00
10.00 - 7.80 = 2.20
Jack has $2.20 left
hope this helped!
Shannon makes and sells picture frames. She charges different rates depending on the material she uses for the frame. Shannon sold a frame for $45. Which type of frame did Shannon sell? Use the drop-down menus to show and explain your answer.
Answer: Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.
STEP BY STEP EXPLANATION:
I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.
Help ASAP!!!! The bill for dinner at Island's was $56.98 If we would like to leave a 20% tip for the waiter, how much money should we leave for a tip?
a
$11.40
b
$20.00
c
$11.30
d
$5.70
Answer:
$11.40
Step-by-step explanation:
make the percent a decimal and multiply the total by the percent in decimal form
56.98*0.20=11.396
then round to the nearest tenth
11.40
the sum of two numbers is 27. one number is 2 times as large as the other. what are the numbers
Answer:
9 and 18
Step-by-step explanation:
Since we don’t know the number, I put x as one of the numbers. Since the other number should be two times as large, that would be 2x.
2x+x=27
3x=27
x=9
To find the other number, which is 2x multiply by 2. So 18
Answer:
one number=9
Second number=18
Step-by-step explanation:
The sum of two numbers =27
one number is 2 times as large as the other
Solution
Let one number=X
Second number=2x
X+2X=27
3x=27
X=27/3
X=9
So one number=9
Second number=18
estimate the different by rounding each number to the nearest tenth : 0.68-0.17
Answer:
0.5
Step-by-step explanation:
0.68 - 0.17
0.68 ≈ 0.7
0.17 ≈ 0.2
0.7 - 0.2 = 0.5
Question 3 (1 point)
(03.01 MC)
Which expression is equivalent to 2(9 + 7)? (1 point)
18 + 14
18+7
11+9
11+7
Answer:
18+14
Step-by-step explanation:
2×9=18 and 2×7=14
18+14 :)
In RST, R = 23* and S = 136*. Which list has the sides of RST in order from shortest to longest?
RS, TR, ST
TR, ST, RS
ST, RS, TR
ST, TR, RS
TR, RS, ST
RS, ST, TR
Answer:
RS, ST, TRStep-by-step explanation:
The third angle measures:
T = 180° - (136° + 23°) = 21°Angles and opposite sides are:
S = 136° → TRR = 23° → STT = 21° → RSThe greater the angle, the greater the opposite side, therefore the sides in increasing order will be:
RS, ST, TRFind the distance between the points (4,-3) and (5,1)
Distance =
Answer:
d = sqrt(17)
Step-by-step explanation:
d = sqrt( x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (4 - 5)^2 + (-3 - 1)^2 )
d = sqrt( (-1)^2 + (-4)^2 )
d = sqrt ( 1 + 16)
d = sqrt(17)
Identify the type of function represented by f(x) = * • (3)". O A. Exponential decay B. Decreasing linear O C. Increasing linear D. Exponential growth
Answer:D
Step-by-step explanation:
Find the axis of symmetry of y = x2 + 4x + 1
Answer:
the axis of symmetry should be x= -2
Step-by-step explanation:
Jane is a computer science major planning to take 4 courses next semester. She is planning to take 2 computer science courses and 2 courses from other areas. How many different schedules can she build?
Answer: 24 schedules.
Step-by-step explanation:
Given data:
Courses planning to take = 4
Computer courses = 2
Courses from other areas = 2
Solution:
This problem can be solved using permutation.
For Computer science courses.
npr = n! / ( n - r )!
Where n = 4
r = 2
4p2 = 4!/( 4-2)!
= 4!/2!
= 12
For other courses.
Where n = 4
r = 2
4p2 = 4!/( 4-2)!
= 4!/2!
= 12
Jane can have a total of 24 different schedules.
The ratio 3/8 has a unit rate of 3/16 true or false
You and your four friends have $25 to spend on snacks. A medium size popcorn costs $2.50 and a medium soft drink costs $1.50. Write and graph an inequality that represents the numbers of medium boxes of popcorn and medium soft drinks you can buy.
Answer:
Step-by-step explanation:
Step one:
given
Total money at hand=$25
cost of one popcorn=n $2.5
cost of drink= $1.5
total number of friends plus you= 4+1= 5
let the total amount spent be y
y= 5(2.5)+5(1.5)
y=12.5+7.5
y=20
The above shows that $20 is enough to cover the expenses, and there will be a balance of $5
what is 3 ÷ 2\5 pls answer dis
Answer:
15/2
Step-by-step explanation:
when dividing by fractions, we "flip and multiply"-- therefore:
3 ÷ 2\5 = 3 x 5/2
3 x 5/2 = 15/2
solve the following expression for p.
Answer:
9 that what p stands for hope it help
Step-by-step explanation:
A total of 356 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold
Answer:
x + 3x = 356
4x = 356
x = 356/4 = 89.
answer: 89
Step-by-step explanation:
hopefully this helped :)