A woodworking artist makes two types of carvings: type X and type Y. He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings. His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?
A. 2x + 3y ≥ 30, 6x + 4y ≤ 120
B. 2x + 3y ≥ 30, 6x + 4y ≥ 120
C. 2x + 3y ≤ 30, 6x + 4y ≤ 120
D. 2x + 3y ≤ 30, 6x + 4y ≥ 120
Answers
The linear systems of inequalities model this situation will be 2x + 3y ≥ 30 and 6x + 4y ≤ 120. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A woodworking artist makes two types of carvings: type X and type Y.
He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.
His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.
If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.
Then the linear systems of inequalities models this situation will be
2x + 3y ≥ 30 and 6x + 4y ≤ 120
Thus, the correct option is A.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
Related Questions
Given that 5 cos (x+8.5)° - 1 = 0
0° ≤x≤ 90, calculate correct to the nearest degree, the value of x.
Answers
Answer:
x = 70
Step-by-step explanation:
To solve for x, use inverse operations to undo the operations performed on x.
__
5cos(x +8.5)° -1 = 0 . . . . given
5cos(x +8.5)° = 1 . . . . . . add 1
cos(x +8.5)° = 1/5 . . . . . divide by 5
x° +8.5° = arccos(1/5) . . . . take the inverse cosine
x° = arccos(1/5) -8.5° ≈ 70° . . . . evaluate the expression
The value of x is 70.
Which graph represents a circle whose equation is (x+3)² + (y-1)² = 4?
Answers
Answer:
A
Step-by-step explanation:
Equation describing a circle: (x - x0)^2 + (y - y0)^2 = r^2
(x0, y0) is the centrer is short for radiusThe given equation is: (x + 3)^2 + (y - 1)^2 = 4
=> (x - (-3))^2 + (y - 1)^2 = 2^2
Coordinates of the centre: (-3, 1)Radius: 2Therefore, the answer is A.
ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)
Answers
Answer:
267.95 cubic meters
Explanation:
volume of sphere: (4/3)π(radius)³
Here given:
radius: 4 meterVolume:
(4/3)π(radius)³insert values
(4/3)(3.14)(4)³simplify
(4/3)(3.14)(64)final answer
267.95 cm³Answer:
V = 267.95
Step-by-step explanation:
The equation to find the volume of a sphere is:
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
r = radius
In the diagram of the question it shows that the radius is 4 m. Plug this into the equation:
[tex]V=\frac{4}{3} (3.14) (4)^{3}[/tex]
Use a calculator to find the answer and then round to two decimal points:
V = 267.95
Hope this helps!!
What is the square root of A=121 ft2
Answers
The result of the square root of the equation A = 121 ft² is √A = 11 ft
What are square roots?Square roots are numbers multiplied by itself to give another number
How to determine the square root?The equation is given as:
A = 121 ft²
Take the square root of both sides
√A = √121 ft²
Evaluate the square root
√A = 11 ft
Hence, the square root of the equation A = 121 ft² is √A = 11 ft
Read more about square roots at:
https://brainly.com/question/98314
#SPJ1
how many circular tiles are needed for pattern 20
Answers
Please help u need help ASAP
Answers
Answer:
I Think its fed
Step-by-step explanation:
Select the correct answer.
Solve for x.
x-2x-24 = 0
Answers
Answer:
x = -24
Please mark brainliest :)
Answer
-24
Step-by-step explanation:
Does this app offer tutoring for college algebra?
Answers
The strip below is cut into 9 equal bars.
Shade 2/3 of this strip.
Answers
Answer:
Shade 6 bars.
Step-by-step explanation:
You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:
[tex]9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3} = \frac{18}{3} = 6[/tex]
You will shade 6 of the 9 bars given.
~
What does this add to 3/11 x 3 1/4
Answers
Answer:
0.
Step-by-step explanation:
Look at the image below. Find the area of the parallelogram.
Answers
Answer:120square unit
Step-by-step explanation:khan
If a 714-mile trip takes 17 hours, the average speed is?
Answers
Answer:
42 mph
Step-by-step explanation:
brainliest/crown please :)
The art club had an election to select a president.
75\%75% of the 6060 members of the club voted in the election.
How many members voted?
Answers
Answer:
45
Step-by-step explanation:
Subtract 60 from 75% and multiply the answer.
Hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:
Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.Answer: A
Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph
Factor: 2n2 - 11n + 15
Answers
Answer:
(2n-1)(n-5)
Step-by-step explanation:
2n2-11n+5
2n2-10n-1n+5
(factorize)
2n(n-5)-1(n-5)
(2n-1)(n-5)
Wendy’s Big Bacon Classic contains how many calories after calculating the
nutrients below?
44 grams Carbohydrate= 44×4 =176_ Calories
36 Grams of Fat= 36×9 = 324 _ Calories
37 Grams of Protein= 37×4 =_148__ Calories
4. What is the percentage of total calories that come from fat in question 3?
Fat Calories:__________
% of Total Calories _________
help with number 4 please and explain it goes with the top answer
Answers
Answer:
Fat Calories: 342
50% of Total Calories
Step-by-step explanation:
Total calories:
Carbohydrates:
176
Fat:
324
Protein:
148
Total:
176+324+148=648
648/342 = 2
Meaning that half of the calories come from fat.
If B is 60% more than A, then A is
A. 37.5% less than B.
B. 37.5% of B
C. 60% less than B
D. 60% of B
Answers
Answer:
37.5% less than B
Step-by-step explanation:
It is given that B is 60% more than A.
A (160%) = BA = B / (160%)A = B / (8/5)A = 5B/8A = 0.625BA = (62.5%) BSince A is 62.5% of B, it is 37.5% less than B.
Answer:
A. 37.5% less than B
Step-by-step explanation:
We can write an equation to model this:
B being 60% more than A means that:
B=0.6A+1A
B=1.6A
Let's isolate A.
A=B/1.6
Multiply the top and bottom by 10 to get whole numbers
A=10B/16
Simplify
A=5B/8
5/8 = 62.5%
A=0.625B
Therefore, A is 62.5% of B
This means that A is 37.5% less than B.
GIVING BRAINLIEST
Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
A. 0
B. 1
C. 2
D. 4
E. infinitely many
Answers
Answer:
Hey!
Your Answer Would Be Option E!
Infinitely Many.
This Is Because:
Each and every one of the four angles/rectangles measures is 90°. Therefore, the number of rectangles that can be constructed using this condition is infinite!
Step-by-step explanation:
help will mark Brainliest
Answers
Answer:
Your answer is B.
Step-by-step explanation:
n>0 means n is greater than 0.
It is an open circle that is pointing to the right for positive values greater than 0.
Answer:Try B.
Step-by-step explanation:
Graph the function y = x+2+5. Which point lies on the graph?
A-
(-2,5)
B-
(3,6)
C-
(7,6)
D-
(0,5)
Answers
Answer:
A
Step-by-step explanation:
Given equation :
y = x + 2 + 5y = x + 7Evaluating the options
A (-2, 5)
5 = -2 + 75 = 5Correct!Write an equation in slope-intercept form for the relationship in the table.
Answers
The equation of the relationship in the table, in slope-intercept form, is: y = x + 5.
What is the Slope-intercept Form?The slope-intercept form for a relationship between two variables x and y is represented as: y = mx + b, where:
m = slope = change in y / change in xb = y-intercept.Slope (m) = change in y / change in x = 47 - 42 / 42 - 37 = 5/5
Slope (m) = 1
Substitute (37, 42) = (a, b) and m = 1 into y - b = m(x - a):
y - 42 = 1(x - 37)
y - 42 = x - 37
y = x - 37 + 42
y = x + 5
Equation for the relationship in the table is: y = x + 5
Learn more about the slope-intercept form on:
https://brainly.com/question/1884491
#SPJ1
What is the formula that relates circumference and radius?
O A. C+ 2 = 21
O B. C = 277 Dr O C. C= 2ter O D. C= 20/1
HELP QUICK!!!!
Answers
Answer:
C = 2πr
Step-by-step explanation:
The circumference of a circle is calculated by the formula here,
C is the circumference of the circle.
r is the radius of the circle.
π is 22/7 or 3.14.
In the given options π is not missing.
Therefore the formula that relates circumference and radius is C = 2πr.
Answer:
C=2πr
Step-by-step explanation:
C =2πr is the formula to calculate circumference of a circle
Where
C=Circumferencer is radiusπ has Approx value 3.141Solve with substitution.
-3y = x
-8x + 2y = 26
Answers
x=-3
y=1
Calculate no.between 2 and 2.5
Answers
Answer:
√5 is the answer
Ethan bought some bags of marbles. The number of bags he bought was 11 less than the number of marbles in each bag. Ethan bought 26 marbles in all. How many marbles were in each bag?
Answers
Answer:
13?
Step-by-step explanation:
idrk best guess. 26 divided by 2= 13. 11-13 + 2
Which number line shows the N equality n <= -1?
Answers
Number line equality to -5< =< -1
13 - 6(2 − 6)² +8 evaluate
Answers
Step-by-step explanation:
______________________13 - 6 ( 2 - 6 )² + 8
= Solution
= 13 - 6 (- 4 ) ² + 8
Now...remove the negative number...because negative number raise to even powers are positive...
= 13 - 6 × 4² + 8
= 13 - 96 + 8
= 13 + 8 - 96
= 21 - 96
= - 75
Hence the answer is - 75....
[tex]..[/tex]
______________________Maya has savings of $40,000. She invests in a bond mutual fund that pays 5% interest each year. Ignoring compounding, what are Maya's total savings after 20 years?
Answers
Answer:50,000 x 0.04 x 20=40,000
The total saving after 20 years 50,000+40,000=90,000$
Which table of values was used to create the scatterplot below? A graph titled Fundraiser Amounts has Day of Fund Drive on the x-axis and Money Raised (dollars) on the y-axis. Points are at (1, 200), (2, 300), (3, 200), (4, 400), (5, 300). A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 400, 200, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 300, 400. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 200, 300, 400, 300.
Answers
The table of values used to create the scatterplot below is:
Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300
Which table of values was used to create the scatterplot below?The graphs x axis represents the Day of Fund Drive and y axis represents Money Raised.
The ordered pairs from the plot are:
(1, 200), (2, 300), (3, 200), (4, 400), (5, 300)
Therefore, the table of values used to create the scatterplot below will be:
Day of Fund Drive Money raised (dollars)
1 200
2 300
3 200
4 400
5 300
Learn more about scatterplot on:
https://brainly.com/question/28605735
#SPJ1
Answer:
C.
Step-by-step explanation:
Edge 2023
Ibehdhdsxydithdkydlgsits
Answers
160
Step-by-step explanation:
Due to the kite being a 2D Object you can just add the numbers of each side up to get to the answer 160. If I'm wrong then I'm sorry I hope this helped though!
