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9
Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack in
x hours is represented by the equation below.
y = 45
Which of the following correctly describes the two functions?
OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
0
ОВ.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate of
change than Ryan's function, indicating that Daniel can pack fewer boxes per hour.
OC.
The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack more boxes per hour.
The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate of
change than Daniel's function, indicating that Ryan can pack fewer boxes per hour.
OD.
10
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8 of 10 Answered
Session Timer: 21:09
Session Score: 38% (318)
- 15
Answer:
A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of
change than Ryan's function indicating that Daniel can pack more boxes per hour.
Step-by-step explanation:
Given
Ryan: 3 boxes per hour
Daniel: [tex]y = 4h[/tex]
Required
True statement about their functions
First, we calculate Ryan's function.
In 1 hour, he can pack 3 boxes.
In hours, he can pack 3h boxes.
So, the equation is:
[tex]y = 3h[/tex]
So, we have:
[tex]y = 3h[/tex] ---- Ryan
[tex]y = 4h[/tex] --- Daniel
Both functions represent direct proportional functions.
So, when h increases y also increases.
However, Daniel's function has a greater rate of change because[tex]y = 4h[/tex] implies that he can pack 4 boxes per hour while Ryan can pack 3.
Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?
Answer: Carlos does not have enough wires by 0.1 meters
Step-by-step explanation:
To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.
= 0.9 + 0.9 + 0.9
= 2.7 meters
Carlos has 2.6 meters of wire but needs 2.7 meters.
Carlos therefore, does not have enough wires.
SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck
How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in the ratio
2, the least number given in the ratio
14, the least common multiple of the numbers given in the ratio
9, the sum of the numbers given in the ratio
5, the difference of the numbers given in the ratio
7, the greatest number given in the ratio
9514 1404 393
Answer:
9, the sum of the numbers given in the ratio
Step-by-step explanation:
The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.
It is convenient to think of the line segment as being divided into 9 equal parts.
_____
Additional comments
It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.
It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
You buy a TV that costs $550 and you pay 6% sales tax. How much do you pay in total for the TV?
$33
$583
$517
$187
Answer:
$583 :)
Step-by-step explanation:
well we know the sales tax is %6 and to find out how much money it is equal to we have multiple $550 x 0.06. after that we get $33. Add $33 to $550 and you get $583!
PLS HELPPP !! BRAINLIEST!!
Each cube in this figure is a 1/2 -centimeter cube. What is the total volume of the prism?
A. 4 1/2cm3
B. 1 1/2cm3
C. 6cm3
D. 18cm3
Is parallelogram BCDE a rectangle?
May someone please help me with this :)
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd
The equation shown has an unknown number ⍰÷3/4=4/9
Answer:
9
Step-by-step explanation:
can someone help please
half of the triangle is a right angle triangle, so we use the phythagoras theorem and multipy our answer by 2
Please answer the question above.
Answer:
∠2 = 80°
Step-by-step explanation:
∠1 and ∠2 are supplementary angles (their sum is 180°)
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]Write an inequality for the statement the temperature is greater than 100°F
5 1 point > 키 Angles x and y are complementary in the diagram shown. 1 2 Z X 3 35° у 4 What is the measure, in degrees, of angle z? 5 Type your answer... 5
Answer:
∠z = 55°
Step-by-step explanation:
90° - 35° = 55°
Joe buys 6 adult tickets and 4 child tickets for the movies. Each adult ticket cost $9. Each child ticket cost the same amount. Joe pays with a $100 bill and gets $22 in change. How much does each child ticket cost?
Answer:
Each child ticket cost = $6
Step-by-step explanation:
Joe has = $100
His balance after tickets purchase = $22
Actual amount spent on tickets = $100 - $22 = $78
But,
Each adult ticket cost = $9
Total no of adult = 6
Total amount spent (adults) = $9 x 6 = $54
Balance remaining = $78 - $54 = $24
Amount spent of 4 child tickets = $24
No of children = 4
Therefore,
Amount spent on 1 child (1 ticket),
= $24/4 = $6.
It could be seen that each child ticket cost six dollars.
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
A scientist began a study with a sample of 1,500 bacteria. He noticed that
the number of bacteria in the sample after t days can be modeled by the
equation P=1,500.5. In this equation, what does 5t represent?
A. The number of bacteria increases by a factor of t each day for 5 days.
B. The number of bacteria increases by t bacteria after 5 days.
C. The number of bacteria increases by 5 bacteria each day.
D. The number of bacteria increases by a factor of 5 each day.
Answer:
C
Step-by-step explanation:
HELP HAVING A BAD DAY
Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for x hours?
I WILL REWARD BRAINLIEST FOR THE CORRECT ANSWER
Answer:
Rodger and Trish will finish the homework together for 30 hours. x=30
Step-by-step explanation:
This is a very simple problem. Its an lcm problem (lcm means lowest common multiple)
To find the lcm you must find the common number the two numbers 5 and 6 share which is 30. Hope that helps, sorry your having a bad day. (i am too bad days suck)
6 5
12 10
18 15
24 20
30 25
30
And the file the other person shows never work, they are bots (robots) who waste your time answering your questions and waste your brainly points. ugh it gets to annoying.
Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
What is Expression?An expression is combination of variables, numbers and operators.
Let the total amount of work in the math homework is 1.
In one hour, Roger can finish 1/6 of the work, and Trish can finish 1/5 of the work. So, working together for one hour, they can finish:
(1/6) + (1/5)
= (5/30) + (6/30)
= 11/30 of the work.
If they work together for x hours, then they will finish:
x × (11/30) = 11x/30
of the work in x hours.
Therefore, Roger and Trish can finish 11x/30 of the homework if they work together for x hours.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ3
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
Answer:
Step-by-step explanation:
The height of the building is 8 rad 3
Approximately 13.9 ft
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
not sure but i think c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
(1/p-p)(1/p-q)-q/p^2(1/q+qp^2)
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.
Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
If I have 14 neutrons and 11 electrons, what is my mass number?
A.25
B.3
C.11
D.14
Answer:
A : 25
Step-by-step explanation:
In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.
The mass number is the sum of the number of neutrons and the number of protons.
mass number=protons+neutrons
As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.
mass number = 14 + 11
help! parallel, perpendicular, or neither?
Answer:
parallel
Step-by-step explanation:
Because a is pependicular to k
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 23‾√ cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
41.57 cm²Step-by-step explanation:
to understand thisyou need to know about:geometryPEMDAStips and formulas:area of a regular hexagon when apothem is given:½×P×Alet's solve:parimeter of a regular hexagon:6a
therefore
=½×[4×6]×2√3 cm²
simplify parentheses:
=½×24×2√3 cm²
simplify fraction:
=24×√3 cm²
=41.57cm²
Answer:
41.57
Step-by-step explanation:
took the test