A school supply company produces wooden rulers and plastic rulers. It takes 30 minutes to
cut, shape, and sand a wooden ruler. It takes 15 minutes to mold, dry, and cut a plastic ruler. A
maximum of 480 minutes per day is set aside for these tasks.
It takes 6 minutes to paint the lines and numbers on both types of rulers. A maximum of
180 minutes per day is set aside for this task.
a. What is a system of inequalities that models this scenario?
b. What is the graph of the solution to this system?

Answers

Answer 1

Answer:

30w+ 15p<480

6w<180

Step-by-step explanation:

Answer 2

Answer:

Y≥0 X≥0 6x+6y≤180 30x+15y≤480


Related Questions

what the answer to

1 4/5 x 5/6

Answers

Answer:

7/3

Step-by-step explanation:

14/5×5/6

=14/6

=7/3

2. compare the histogram at 5 bins and at 25 bins. what does the narrower bin width reveal that the wider bin width obscures?

Answers

Answer: skewed left

Step-by-step explanation:

a distribution with two peaks: one at $30,000 and the other at $40,000

Write 10 algebraic expressions and then solve them!

(This is kinda easy and also I'll make brainliest answer to someone who answered correctly,clear and detailed!)​

Answers

Answer: done

x + 3 = 0

subtract 3 on both sides

x = -3

x +4 = -3

subtract 4 on both sides

x = -7

3x = 0

divide 3 on both sides

x = 0

5x = 2

divide 5 on both sides

x = 2/5

x - 4 = 0

add 4 on both sides

x = 4

5x - 4 = 0

add 4 on both sides then divide both sides by 5

x = 4/5

2x + 4 = 5

subtract both sides by 4 then divide both sides by 2

x = 1/2

2x^2 = 9

square root both sides then divide both sides by 2

x = 3/2

5x - 1 = 2

add both sides by 1 then divide both sides by 5

x = 3/5

x + 3 = 65

subtract both sides by 3

x = 62

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?



(
,
)

Answers

The ordered pair for the greatest amount he can buy is (3.2, 12)

How to find the greatest cost of gas?

He  has $12 to put gas in his car. The gas costs $3.75 per gallon.

Therefore,

x = number of gallons of gasy = total cost of the gas.

Hence, the total amount he has to spend is 12 dollars.

Therefore,

y = 3.75x

where

y = 12 dollars

Therefore,

12 = 3.75x

divide both sides by 3.75

12 / 3.75 = 3.75x / 3.75

x = 3.2

Therefore, the ordered pair for the greatest amount he can buy is (3.2, 12)

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1. Write the following sentence using mathematical symbols.
Twice x, plus 10, is the same as - 5.

Answers

The sentence can be represented as 2x+10=-5, with x = -7.5

Given that twice the value of  x plus 10 is equals to -5

Mathematical symbols are used to perform various operations. The symbols make it easier to refer Mathematical quantities. It is interesting to note that Mathematics is completely based on numbers and symbols. The math symbols not only refer to different quantities but also represent the relationship between two quantities. All mathematical symbols are mainly used to perform mathematical operations under various concepts.

• Helps in denoting quantities

• Establishes relationships between quantities

• Helps to identify the type of operation

2(x)+10=-5

2(x)=-15

x=-15/2

x=-7.5

Hence, The sentence can be represented as 2x+10=-5, with x = -7.5

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Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

?

Step-by-step explanation:

ahhhh are u okay buddy

You are solving a measurement problem where the numbers 4.0286 × 109 and 3.1 × 10−4 are divided. How many significant digits should the quotient have?

Answers

The quotient will have 2 significant figures.

The digits in the number , that contribute to the degree of accuracy can be defined as Significant Figures.

For Example ; 2.096 has 4 significant Figures

0.069 has 2 significant figures.

Rule Of Significant for Multiplication & Division :

Rule says in multiplication or division , the final result should retain as many significant figures as there are in the original number with the least significant figures.

In the given question

4.0286 × 10⁹   = 5 significant figures

3.1 × 10⁻⁴  = 2 significant figures

The quotient on dividing the numbers is 1.2995 x 10¹³  will have 2 significant figures as the least significant from 5 and 2 is 2.

Therefore , the quotient will have 2 significant figures.

The given question is incomplete , the complete question is

You are solving a measurement problem where the numbers 4.0286×10⁹ and 3.1×10⁻⁴ are divided. How many significant digits should the quotient have?

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NEED HELP ASAP!! PLEASE HELP ME SOLVE THIS AND SHOW YOUR WORK! EXTRA POINTS IF YOU FOLLOW THE INSTRUCTIONS GIVEN.

Answers

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

The sum of all angles in a triangle is equal to 180 degrees:

 [tex]\hookrightarrow x + 120 +20 = 180\\\hookrightarrow x + 140 = 180\\\hookrightarrow x =180-140=40[/tex]

∠y and ∠x are on a flat line ⇒ total angle measured between is 180°

[tex]\hookrightarrow x + y = 180\\\hookrightarrow 40 + y = 180\\\hookrightarrow y = 180-40=140[/tex]

Answer: y = 140°

Hope that helps!

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Benjamin's credit card has an APR of 19%, calculated on the previous monthly
balance, and a minimum payment of 2%, starting the month after the first
purchase. His credit card record for the last 7 months is shown in the table
below.
End of
month
2
3
5
6
7
Previous
balance
$0.00
$2400.00
$2390.00
$2380.04
$2370.12
$2360.25
$2350.41
New
charges
$2400.00
$0.00
$0.00
$0.00
$0.00
$0.00
$0.00
Payment Finance
received
charges
$0.00
$0.00
OA. $59.38
OB. $47.01
OC. $285.01
OD. $225.64
$48.00
$47.80
$47.60
$47.40
$47.20
$47.01
$38.00
$37.84
$37.68
$37.53
$37.37
$37.21
Principal
paid
$0.00
$10.00
$9.96
$9.92
$9.88
$9.83
$9.79
New
balance
$2400.00
$2390.00
$2380.04
$2370.12
$2360 25
$2350.41
$2340.62
What is the total amount that Benjamin has made in payments over the 7
months?

Answers

If Benjamin's credit card has an APR of 19%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. the total amount that Benjamin has made in payments over the 7 months is: $285.01.

Total amount made in payment

To determine the  total amount that Benjamin has made in payments over the 7 months we would need to add up or sum up all the Payment Finance received charges for the first six months.

Now let calculate the total amount that Benjamin made in payment.

Hence,

Total amount made in payment=$48.00+$47.80+$47.60+$47.40+$47.20+$47.01

Total amount made in payment =$285.01

Therefore if Benjamin's credit card has an APR of 19%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. the total amount that Benjamin has made in payments over the 7 months is: $285.01.

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Identify the range of the function y=-3x+6 when the domain is {-1,2,4}
A. {-6,0,9}
B. {-9}
C. {3,-12,-18}
D. {-3,12}
E. {-6,9}

Answers

Answer:

A. {-6,0,9} but in order of domain it's {9,0,-6}

Step-by-step explanation:

There's two ways of finding the range;

Way #1: The traditional method

In the traditional method you substitute x for all the numbers in the domain When substituting you replace x and solve it like a regular equation (so for example for -3(-1) + 6 = 9 so y=9 when x equals to 2 or f(-1)= 9) to find yAfter substituting your y-values or the range (in order from least to greatest in domain or x-values) is {9,0,-6}

Way #2: The graphing calculator method

Using a graphing calculator you use the table function Turn on the calculator press the button "Y=" place the function -3x+6 Hit "2nd" then "Graph" to get the tableLook at your x-functions to find your domain and next to these domains are your y-values those y-values that correlate to your domain are the ranges which are {9,0,-6}

On a coordinate plane, point P is at (negative 4, 3). a. (–4, 3) b. (–3, 4) c. (3, –4) d. (4, –3) Group of answer choices

Answers

option (A) ( - 4 , 3 ) is the correct option to represent the coordinate of point P at ( negative 4, 3 ).

We are given the coordinate of the point as:

(negative 4, 3)

the negative means a minus ( - ) sign.

So, the coordinate of point P can also be written as:

( - 4 , 3 )

So, we get that:

Option (A) ( - 4 , 3 ) is the correct option.

Therefore, we get that, option (A) ( - 4 , 3 ) is the correct option to represent the coordinate of point P at ( negative 4, 3 ).

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05.05
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

Determine P(2 tails).

12.5%
37.5%
50%
75%

Answers

I’m order to solve the problem you need to consider the probability of the sequence so the answer is 37.5

The value of P(2 tails) is 37.5%, the correct option is B.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The sample space=  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Now,

The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}, where H represents heads and T represents tails.

To determine P(2 tails), we need to count the number of outcomes in which there are 2 tails, and divide that by the total number of outcomes:

Number of outcomes with 2 tails: There are three outcomes with 2 tails: TTH, THT, and HTT.

Total number of outcomes: There are eight outcomes in total.

P(2 tails) = number of outcomes with 2 tails / total number of outcomes = 3/8 = 0.375, which is equivalent to 37.5%.

Therefore, the probability the answer will be 37.5%.

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graph: y + 2 = 2 (x + 3)

Answers

Use Desmos, are you that lazy?

What is the value of y when x=-3

Answers

Answer:

when x=-3 then from the graph the value of y is -2

Determine the values of y in the equation y2 = 121.

y = ±60.5
y = ±11
y = 60.5
y = 11

Answers

Answer:

y = ± 11

Step-by-step explanation:

y² = 121 ( take square root of both sides )

[tex]\sqrt{y^2}[/tex] = ± [tex]\sqrt{121}[/tex]

y = ± 11

Find the absolute value equation
How do i solve
|3x-9|= 1x + 1

Answers

Answer:

Step-by-step explanation:

one of the interier angles of a triangle equals 30, and one of the exterier angles equals to 40. Find the remaining interier angles

Answers

Answer:110degrees

Step-by-step explanation:

the angles of the inside of a triangle always add up to 180
180-30-40=a
a is unknown angle
180-30-40=110

In the figure QRST, point Q has coordinates (2, -3). If you translate the figure 4 units left and 3 units down, what are the coordinates of the translated point Q'?

Answers

Answer:

Q' (- 2, - 6 )

Step-by-step explanation:

a translation of 4 units left is in the x- direction and means subtract 4 from the x- coordinate.

a translation of 3 units down is in the y- direction and means subtract 3 from the y- coordinate.

Q (2, - 3 ) → Q' (2 - 4, - 3 - 3 ) → Q' (- 2, - 6 )

I need help. somebodysolve this. i think the answer is 8
(2x +20)y X=10 y=5​

Answers

Answer:

If there is divide sign between (2x+20) and y, then the answer is 8 but if there's multiplication sign between (2x+20) and y, then the answer is 200.

*First to answer rightfully will get brainliest. NO LINKS are allowed. Thank you.

Please help with the following question:

You just got back from a trip to
Florida for the school break and
you still have $225 in U.S.
currency. Today, the bank rate is
C$1.04 for US$1. How much in
Canadian funds will you get for
your U.S. currency?

Answers

3.69 + 6.936= 3.675899903456295

Muse synthetic division to find the quotient and remainder when 3x^4 +19x^3+22x^2-6x+4 is divided by x+2

Answers

Answer: 3x^3 +13x^2 -4x +2 +0/(x+2)

Step-by-step explanation:

-2: 3 19 22 -6 4=

       -6 -26 8 -4

    3 13 -4  2   0 ==> 3x^3 +13x^2 -4x +2 +0/(x+2)

Quotient: 3x^3 +13x^2 -4x +2

Remainder: 0

Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?
Group of answer choices

Distribute 2 to (x + 6) and 3 to (x – 4).

Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.

Combine like terms, 3 and 5, on the right side of the equation.

Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.

Answers

Answer:

x = 19

Step-by-step explanation:

I think you are on the right track. Below is the way I would approach it:

1. Expland the brackets

2. Collect like terms

3. Make x the subject

Let me know if you want the working out. Hope this helps.

Martin scores 10% of the points in a game if this represents 10 point how many points were scored in total

Answers

20 points.
10% is 1/10 you can multiply his number by 10 to get answer

Answer:

10 OR 100. Read the explanation for details.

Step-by-step explanation:

If Martin scored 10%, and this represents 10 points, that means that martin scored 10 points. If he is talking about ALL the points in total then there are 100 points because 10% is 1/10, and if each 1/10th is 10 points, if you multiply that by 10 you get

100.

The points G and H, 19m apart are on the same side of a tree. The angles of elevation of the top T, of the tree from G and H on the horizontal ground with the foot of the tree are 430 and 38° respectively. (1). Illustrate the information in a diagram. (i). Find, correct to one decimal place, the height of the tree.

Answers

Using relations in a right triangle, it is found that

The height of the tree is of 91.6 meters.

The graph for this problem is given at the end of the answer.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

From the diagram graphed, we can build two relations involving the tangent of the angles, as follows:

From the smaller right triangle:

tan(43º) = h/x

0.9325 = h/x

x = (1/0.9325)h.

x = 1.0724h (we want to find h, hence we write x as a function of h).

From the larger right triangle:

tan(38º) = h/(x + 19).

tan(38º) = h/(1.0724h + 19).

0.7813 = h/(1.0724h + 19).

Applying cross multiplication:

h = 0.7813(1.0724h + 19).

h = 0.8379h + 14.8447.

0.1621h = 14.8447

h = 14.8447/0.1621

h = 91.6 meters.

The height of the tree is of 91.6 meters.

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se polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. find the following sums without using a calculator or a formula

Answers

The sums of series using Polya's four-step problem-solving strategy in (a), (b) and (c) are 79800, 150975, and 1560 respectively.

(a) Let S  = 1 + 2 + 3 + … + 398 + 399Write the series in reverse order and then add both series.S = 1 + 2 + 3 + … + 398 + 399S = 399 + 398 + … + 2 + 12S = 400 + 400 + … + 400 + 4002S = 400 x  399S  = (400 X 399 ) / 2 =   200x399 =  79800(b) Let S = 1 + 2 + 3 + … + 548 + 549Write the series in reverse order and then add both series.S = 549 + 548 + … + 2 + 12S = 550 + 550 + … + 550 + 5502S = 550 x 549S  = (550x549 ) / 2 =  275x549   =  150975(c) Let S  =  2 + 4 + 6 + 8 + … + 72 + 74 + 76 + 78Write the series in reverse order and then add both series.S = 2 + 4 + 6 + … + 72 + 74 + 76 + 78S = 78 + 76 + 74 + … + 6 + 4 + 22S = 80 + 80 + … + 80  + 802S = 80 x  39S = (80 X 39 ) / 2 =   40 x 39 = 1560

a sequence is, more or less speaking, a description of the operation of adding infinitely many quantities, one after the opposite, to a given starting quantity. The examine of series is a chief part of calculus and its generalization, mathematical evaluation. series are utilized in maximum areas of mathematics, even for reading finite structures (which includes in combinatorics) thru producing features.

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up
A water tap is leaking at the rate of 25 mL every 20 seconds. How many litres of
water are wasted each day?
[3 marks]

Answers

Answer: 108 liters

Step-by-step explanation: There are 86,400 seconds in a 24-hour day. If 25 mL leak every 20 seconds, divide 86,400 by 20 (4,320), then multiply by 25 (108,000). There is 1,000 mL for every liter, so divide 108,000 by 1,000, and you will get 108 liters.

108 liters is going to be your correct answer.

3x^2-13xy+4y^2 how do I solve this

Answers

Back to small town blues and not a clue of what’s goin on 334+8902=99/07

Terry used a total of 52 inches of ribbon to make 6 decorations. He used the same amount of ribbon for each decoration. How much ribbon did Terry use for each decoration?

Answers

Answer:52 x 6=312

Step-by-step explanation:

Terry used 52 inches of ribbon for the same amount. He's multiplying. Hope this helped.

Help needed with geometry.

Answers

Answer:

d

Step-by-step explanation:

Answer: d

Dan earns £9.20 per hour. How much will he earn for 8 hours work?

Answers

Answer:

£73.6

Step-by-step explanation:

Earnings per hour ( means for one hour of work he earns)= £9.20

total no of hours he works for = 8

so,in 8 hours he will earn

9.20× 8=£73.6

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Please tell me x thankyou very much please no fake answers I really need help!! Thankyou so much what is important and what is importance? 729, 243, 81, 27 find the sequence PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEE PLZZZ IF YOU DO I GIVE YOU BRAINLIEST I DO ANYTHING JUST PLZ HELPPPPP (127 POINTS) Write your scientific argument here to support one of the claims above. Be sure to follow the format discussed in the lesson: Claim + Evidence + Reasoning. Include at least two pieces of evidence and two key concepts for reasoningITS ABOUT TITAN LAKEHERE A EXPLAME I think that the lake CHOSSE EITHER froze/evaporated. One piece of evidence to support this is (evidence from cards) . Another piece of evidence to support this is (evidence from cards). This is because (include key concepts). Put the following equation of a line into slope-intercept form, Simpliying anfractions.4x+4y =4 Read the passage. Then answer the questions that follow.Langston is a college-bound high school senior in Georgia with a big decision to make. He has been accepted to both a small college in the town where he lives and a large state university on the other side of Georgia. Both schools offer the bachelor's degree in logistics that he wants. The large state university has offered him a generous financial aid package that brings his tuition and feesdown to only $2,000 per year, but it is 250 miles from home. Housing at the university would cost $4,000 per year. He might be able to find work at a restaurant or store in the city around the university to help pay for his housing. The smaller college in his own town would cost him $4,000 tuition and fees peryear after a small amount of financial aid, but he could live at home with his parents for free. His mom could also get him a part-time job at the small logistics company where she works. And of course he could do his laundry at home andeat with family. If Langston chooses to attend the small college in his town, what should beconsidered part of the opportunity cost of this decision?A. the bachelor's degree in logistics he would earn after four yearsB.the expensive housing fees he would have to pay to live at the large universityC.the expense of traveling to and from his home during holiday breaksD.the independent living skills be would learn living away from home most of the year In a matrilineal society _______________ are more important. NEED HELPPP!!!! 20 POINTS WILL BE GIVEN.. Simplify each fraction figure I will mark brainliest !! Right triangle PQR is shown on the graph below. If the point (x, 7) lies on the line that goes through side of the trianglethen what should be the value of x? A. -2B. 5 C. -3D. 3 6. The Age of Reason was applied to ALL of these except? a. Science b. Literature C. Food d. Government whats the first steps on solving x2+11x+28=0 A dozen water bottles cost $5.88. How much would it cost to purchase 36 bottles of water? GIVING BRAINLIEST AND EXTRA POINTS PLZ HELP ASAP !!!!!!!!!!!!!!!!!!!! -6-(-4) as an addition problem The local water supply has a leak, it is losing 4 gallons of water every second.After 15 seconds, the water level is at 1024 gallons. Write an equation torepresent the situation: * Prove that the measure of angle JKL is 90 degrees. Total internal reflection at the air liquid surface is observed for an unknown liquid when the angle of incidence is 43 degrees. What is the index of refraction of this unknown liquid? a. 0.68 b. 1.0 c. 1.47 d. 1.59 How did Columbus's voyage to the Americas extinguish the Tainos???Please help Ill give brainliest ABC and JLK have two sets of congruent angles. Are these triangles congruent or not? How do you know?