1. A carpenter makes bookcases in 2 sizes, large and small. It takes 4 hours 2 points
to make a large bookcase and 2 hours to make a small one. The carpenter
can spend only 32 hours per week making bookcases and must make at
least 2 of the large and at least 4 of the small each week. Create a system
of linear inequalities to model this situation. *
Answers
The system of linear inequalities to model this situation is 4x+2y≤32, x≥2, y≥4. The correct option is (a).
The inequality 4x + 2y ≤ 32 represents the total number of hours available per week, which is limited to 32 hours.
The inequality x ≥ 2 represents that the carpenter must make at least 2 large bookcases per week.
The inequality y ≥ 4 represents that the carpenter must make at least 4 small bookcases per week.
These inequalities ensure that the carpenter stays within the time constraint of 32 hours and fulfills the minimum quantity requirements for both large and small bookcases.
Thus, the correct option is (a).
Learn more about the inequalities here:
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Related Questions
What is the image of the point (2, 8) after a rotation of 270 counterclockwise about the origin ?
Answers
Answer:
(8,-2)
Step-by-step explanation:
x and y switch places and x's sign is changed
Help ASAP please both questions
Answers
how do you solve for range because i’m so confused lol
Answers
Answer:
A) y ≥ -4
Step-by-step explanation:
The range of a function basically represents all of the y values that a function encompasses (I hope that makes sense, if not, please let me know).
In this graph, since the parabola has a vertex at (1, -4), the range includes y values only greater than or equal to -4. The function does not include y values lower than -4. Therefore, the range must be y ≥ -4.
Uma pessoa comprou um terreno quadrado 81 m2 e deseja aumentar 19 m2 na area dele de que maneira ele continue em forma de quadrado qual sera o perímetro desse terreno
Answers
Answer:
the new perimeter of the land is 40m
Step-by-step explanation:
The computation of the new perimeter of the land is given below:
Since the square plot is 81m^2
It could be increased by 19m^2
So the total would be
= 81m^2 + 19m^2
= 100m^2
Each side is 10m
Now the perimeter is sum of all sides
= 10m + 10m + 10m + 10m
= 40m
hence, the new perimeter of the land is 40m
Answer:
Step-by-step explanation:
Essa conta poderia ser feita de várias maneiras. Uma delas é dividir 450 por 3 e depois multiplicar por 5. A resposta para esse problema é 750.
Write the equation in slope-intercept form for a line with a slope of 4 and y-intercept of -13.
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Answer:
y=4x-13
Step-by-step explanation:
Plz answer no fake stuff plz
Answers
=======================================================
Explanation:
The first number along the top is 40, and it multiplies with the second number along the side to get 40 x 5 = 200
You can think of it as 4 x 5 = 20, then you tack on an extra 0 to the '4' and to the '2' as well, so it keeps things balanced.
So this explains how choice D is one of the answers.
-------------------------
After 200 fills in that question mark, we'll have these four numbers inside the table: 2400, 420, 200, and 35
Those four values add up to: 2400+420+200+35 = 3055
This shows that choice A is one of the answers.
--------------------------
Finally, choice E is the third answer because along the top we have 40+7 = 47, and along the side we have 60+5 = 65
Put another way, the total top length is the sum of the two smaller pieces of 40 and 7, which explains how the total top length is 47 units long. A similar argument happens for the left side values as well.
We ultimately have a rectangle that is 47 units across in the horizontal direction, and 65 units tall in the vertical direction.
With your calculator, you should note that 47*65 = 3055 to help confirm everything lines up.
--------------------------
Extra info:
Choice B is false because this contradicts choice D.
Choice C is false because it contradicts choice E
What is the answer ??
Answers
Answer: Option 1
Step-by-step explanation:
hope this helps pls mark me brainiest
Two numbers have these properties. * Both numbers are greater than 6 * Their highest common factor (HCF) is 6 * Their lowest common multiple (LCM) IS 60 Find the two numbers
Answers
Answer:
The two numbers are 12 and 30
Step-by-step explanation:
It is given that both the numbers are greater than 6
Let the two numbers be X and Y
As we know
X * Y = LCM * HCF
XY = 360
Let us list down some combinations of X and Y and test above conditions
There can be following pairs
a) 6,60
b) 18,20
c) 24,15
d) 12,30
LCM of the two numbers is 60 and both the numbers are greater than 6
So only 12, 30 satisfy the set condition.
A beekeeper purchased a hive of 200 bees. He was told that he can expect the number of bees to increase at a rate of 5% every 2 months. Which expression can he use to compute the number of bees he will have after n months have passed?
Answers
i believe you have to do 200 devided by 5 im not sure.
How do I solve 6+x/3=16
Answers
Answer: x=30
Step-by-step explanation:
1.Subtract 6 from both sides of the equation
2.Simplify
3.Multiply all terms by the same value to eliminate fraction denominators
4.Simplify
15 out of 25 perfer skittles to M&MS. what percent of students prefer skittles
Answers
Answer:
60%
Step-by-step explanation:
Just divide 15 by 25 and then move the decimal point 2 places to the right. Then turn that number into a percentage.
Answer:
The answer is 60%
Step-by-step explanation:
You could check it by using a calculator, just enter 25x60%= 15
how many terms are in the following?
5x-7+8k+2x+k
Answers
So you have 5 terms:
5x
-7
8k
2x
k
How many square feet of outdoor carpet will we need for this hole? 12ft , 2ft, 2ft, 4ft
Answers
Answer:
44 ft^2
Step-by-step explanation:
so first, you get the area for the outer rectangle
12*4=48
so the area is 48, but there is a 2x2 square cut out so subtract that area
2*2=4
48-4=44
Is x = 5 a solution of the inequality x - 3<2 ? Explain
Answers
Answer:
No
Step-by-step explanation:
Plug in 5 for x
5 - 3<2
2<2
this is not true it should be equal to 2.
Answer:
Not a solution
Step-by-step explanation:
Plug in x = 5 in the equality,
x - 3 = 5 - 3 = 2 not < 2
So, x = 5 is not a solution
"Identify the like terms in the expression 10x+5+3x+1." I wasnt paying attention and so I dont know the answer help
Answers
Answer:
Simplifying
10x + -5(3x + -1) = 15
Reorder the terms:
10x + -5(-1 + 3x) = 15
10x + (-1 * -5 + 3x * -5) = 15
10x + (5 + -15x) = 15
Reorder the terms:
5 + 10x + -15x = 15
Combine like terms: 10x + -15x = -5x
5 + -5x = 15
Solving
5 + -5x = 15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -5x = 15 + -5
Combine like terms: 5 + -5 = 0
0 + -5x = 15 + -5
-5x = 15 + -5
Combine like terms: 15 + -5 = 10
-5x = 10
Divide each side by '-5'.
x = -2
Simplifying
x = -2
Step-by-step explanation:
A triangle has of sides of lengths 19 centimeters,19 centimeters,and 26 centimeters and angle measures of 84 degrees ,48 degrees, and 48 degrees. Which image shows this triangle?
Answers
Answer:
I think it should be 2 triangle
If it get wrong , so sorry for wrong answer
Answer:
the 2nd one
Step-by-step explanation:
Sorry I know I’m asking a lot of questions but what is Simplify - n x 8 x n
Answers
Answer:
-8n²
first multiply - on n times + on n = -n² ,then multiply by 8,it gives-8n²
pls help ...
Describe three ways to transform the graph of f(x) = log x to obtain the graph of g(x) = log 100x -1. Justify your answer.
Answers
Answer:
Translation up by one unitStep-by-step explanation:
Given
f(x) = log xLet's see what relationship has the function g(x) and f(x):
g(x) = log 100x - 1 = log 100 + log x - 1 = 2 + log x - 1 = log x + 1 = f(x) + 1g(x) = f(x) + 1As we see the function g(x) is the translation of the function f(x) up by one unit
Note: there is one transformation as described above. The interim steps in the solution could possibly be considered as different ways (like two units up and one unit down). The final position is just one way translation.
Scott is 72 inches tall and Chris is 185 centimeters tall who is taller I know that Chris is taller but how tall is Chris in inches?
Answers
Answer: Chris is taller by 5 inches.
Step-by-step explanation:
You need to convert one of them to the other's unit of measurement so as to be able to measure effectively.
Assuming we convert to inches.
An inch is 2.54 cm.
Since Chris is 185 cm tall, Chris's height in inches is:
= 185 / 2.4
= 77 inches
Chris is therefore taller by 5 inches.
Triangle A: 6 cm, 8 cm, and 10 cm Triangle B: 310 in, 25in, and 35in Triangle C: 8 ft, 15 ft, and 17 ft Triangle D: 0.32 mm, 0.96 mm, and 1 mm Which of the four triangles is obtuse
Answers
Answer:
Triangle B
Step-by-step explanation:
For a triangle with sides a, b and c,
If c² = a² + b²
Then triangle will be a right triangle.
If c² > a² + b²
Triangle will be an obtuse triangle
If c² < a² + b²
Triangle will be an acute triangle.
By applying these properties in the given triangles,
Triangle A:
6 cm, 8 cm and 10 cm
6² + 8² = 36 + 64
6² + 8² = 100 [c² = a² + b²]
Therefore, it's a right triangle.
Triangle B:
310 in, 25 in and 35 in
25² + 35² = 625 + 1225
= 1850
Since, 310² = 96100
And 96100 > 1850 [c² > a² + b²]
Therefore, It's an obtuse triangle.
Triangle C:
8 ft, 15 ft and 35 ft
8² + 15² = 64 + 225
= 289
Since, 17² = 289 [c² = a² + b²]
Therefore, It's a right triangle.
Triangle D:
0.32 mm, 0.96 mm and 1 mm
(0.32)² + (0.96)² = 1.024
Since, 1² = 1
And 1 < 1.024 [c² < a² + b²]
Therefore, triangle will be an acute triangle.
Find two consecutive integers whose product is 272.
Answers
Evaluate: 168.72 ÷ 0.024 =
Answers
Answer:
7030
Step-by-step explanation:
Answer:
7,030
Step-by-step explanation:
Siri works wonders
Hisham and Edgar are on the Baker High School wrestling team. Juan weighs 170 lbs. and wants to lose 4 pounds each week. Edgar weighs 135 lbs. and wants to gain 4 pounds each week. Write a system of equations that could be used to find out when Juan and Edgar would be the same weight. Then solve the system to find out how many weeks it will be until they are the same weight.
Answers
Answer:
If Jake loses 8 pounds, he will weigh twice as much as his sister. ... Together they now weigh 278 pounds. What is Jake's present weight, in pounds? (A) 131 (B) 135 ... Before we create our equations, we want to define some variables. ... To solve this equation, we can substitute 2S + 8 from Equation 1 for the variable J in ...
The coordinate grid shows triangle STU.
Triangle STU is rotated 270* about the origin to create triangle S'T'U'. Which rule describes this transformation?
A: (x, y) (x + 3, y + 5)
B: (x, y) → (y, -x)
C: (x, y) → (x, -y)
D: (x, y) → (-x, y)
Answers
Answer:The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .
YOUR ANSWER IS B
Step-by-step explanation:
Answer:
Step-by-step explanation:
you rotate it two times to the left or right your answer will be b
please help I don't get it
Answers
-3
5
13
17
The time in minutes for each of Sam's phone calls this week are shown in the list.
{9, 15, 5, 7, 9, 12, 11, 4}
Which statement is true regarding the duration of his calls?
Answers
Answer:15
Step-by-step explanation:
Suppose that $3000 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
Answers
Answer:
After one year the balance in the account will be 3510. after two years the balance will be 4020
Step-by-step explanation:
The sides of a triangle formed a geometric progression with a ratio r. For what values of r, it is possible?
Answers
Answer:
ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here: https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2
100 POINTS!!!! The median of the set of numbers 12, 38, 45, $x$, 14 is five less than the mean. If x is a negative integer, what is the value of x?
Answers
Answer:
-14
Step-by-step explanation:
Since x is negative, the median of the set is 14. Therefore, the mean of the set is 14 + 5 = 19, and its sum is 19 · 5 = 95. Since 12, 38, 45, and 14 sum to 109, the remaining integer x must be 95 − 109 = −14 .
Answer:
x = -14Step-by-step explanation:
Given set of numbers:
12, 38, 45, x, 14Put them in ascending order, considering the x is negative
x, 12, 14, 38, 45The median is 14
The mean is 5 greater than median:
14 + 5 = 19The mean is calculated:
(x + 12 +14 + 38 + 45)/ 5 = 19x + 109 = 19*5x = 95 - 109x = -14Please help me I don’t know the steps to solving/finding the measure of A (Geometry)