Answer:
Option A, C and D is the three possible solution.Step-by-step explanation:
Each Television earns $72 and each Computer earns $90.
The manager’s target is to make at least $360.00 a day.
It is not clarified the exact number of Televisions and Computers.
Hence, as per the given condition, [tex]72x + 90y \geq 360\\8x + 10y \geq 40\\4x + 5y \geq 20[/tex].
Now we just need to check the given options, whether they satisfy the above equation, or not.
Except the option B, each inequality indicates a value greater than 360.
Hence, option B can not be the possible solution.
To meet the profit target of 72x + 90y ≥ 360, the correct points are listed in Option A: (5, 2), (3, 3), and (1, 4). These points meet the required profit condition.
To solve this problem, we need to find the inequality that represents the manager's profit target and identify the solutions that meet this condition. Given:
The profit per television is $72 (x represents the number of televisions sold).The profit per computer is $90 (y represents the number of computers sold).The manager’s goal is to make at least $360. This can be represented by the equation: 72x + 90y ≥ 360.
We need to check which option lists points that satisfy this inequality. Let's test the points:
Option A: 72x + 90y > 360 (5, 2), (3, 3), and (1, 4)
(5, 2): 72(5) + 90(2) = 360 + 180 = 540 (satisfies ≥ 360)(3, 3): 72(3) + 90(3) = 216 + 270 = 486 (satisfies ≥ 360)(1, 4): 72(1) + 90(4) = 72 + 360 = 432 (satisfies ≥ 360)Option B: 72x + 90y < 360 (4, 0), (2, 2), and (1, 1)
(4, 0): 72(4) + 90(0) = 288 (does not satisfy ≥ 360)(2, 2): 72(2) + 90(2) = 144 + 180 = 324 (does not satisfy ≥ 360)(1, 1): 72(1) + 90(1) = 72 + 90 = 162 (does not satisfy ≥ 360)Option C: 72x + 90y > 360 (3, 1), (2, 2), and (1, 0)
(3, 1): 72(3) + 90(1) = 216 + 90 = 306 (does not satisfy ≥ 360)(2, 2): 72(2) + 90(2) = 144 + 180 = 324 (does not satisfy ≥ 360)(1, 0): 72(1) + 90(0) = 72 (does not satisfy ≥ 360)Option D: 72x + 90y > 360 (4, 0), (3, 3), and (1, 4)
(4, 0): 72(4) + 90(0) = 288 (does not satisfy ≥ 360)(3, 3): 72(3) + 90(3) = 216 + 270 = 486 (satisfies ≥ 360)(1, 4): 72(1) + 90(4) = 72 + 360 = 432 (satisfies ≥ 360)Only Option A lists points that all satisfy the inequality 72x + 90y ≥ 360. Therefore, Option A is the correct answer.
Identify the equation of the linear function through the points (- 2,- 7) and (1,2). Then state the rate of change of the function. What is the equation of the linear function?
A. y = 3x - 1
B. y = - 3x - 1
C. y = 3x + 1
D. y = -3x + 1
The rate of change is ( ? ).
Answer:
The equation of line is y = 3 x - 1 , i.e option A .
The rate of change = m = 3
Step-by-step explanation:
Given as :
The points are
([tex]x_1[/tex],[tex]y_1[/tex] ) = (- 2, -7)
([tex]x_2[/tex],[tex]y_2[/tex] ) = (1 , 2)
Let The slope = m
Now, The slope is calculated in points form
So, Slope = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
I.e m = [tex]\dfrac{2-(-7)}{1-(-2)}[/tex]
or, m = [tex]\dfrac{9}{3}[/tex]
I.e m = 3
So, The slope of points = m = 3
I,e Rate of change = m = 3
Now, the equation of line in slope - point form can be written as
y -[tex]y_1[/tex] = m ( x - [tex]x_1[/tex])
where m is the slope of line
i.e y - (-7) = ( 3 ) × ( x - (-2) )
or, y + 7 = 3 × (x + 2)
∴ y + 7 = 3 x + 6
Or, y = 3 x + 6 - 7
Or, y = 3 x - 1
So, The equation of line is y = 3 x - 1
Hence, The equation of line is y = 3 x - 1 , i.e option A .
And The rate of change = m = 3 Answer
On a recent survey, 40% of those surveyed indicated that they preferred walking to running. If 540 people preferred walking, how many people were surveyed
Answer:
The Total number of people were surveyed is 1,350 people.
Step-by-step explanation:
Given as :
The total number of people who preferred walking = 540 people
The percentage of people who preferred walking to running = 40% of the total people
Let The Total number of people were surveyed = n people
Now, According to question
The total number of people who preferred walking = 40% of the total number of people were surveyed
Or, 40% of n = 540
Or, [tex]\dfrac{40}{100}[/tex] × n = 540
Or, n = [tex]\frac{540\times 100}{40}[/tex]
∴ n = 1350
So,Total number of people were surveyed = n = 1350 people
Hence,The Total number of people were surveyed is 1,350 people. Answer
Slove for x: -2.863.98 - 0.8y = -2.86
Answer:The answer is Zero:(0)
Step-by-step explanation:
Answer:
y=0.067825
Step-by-step explanation:
Can someone help me with process 1, please?
Answer:
Step-by-step explanation:
If x = 1; x + 3 = 1 + 3 = 4 (≠ 7)
If x = 2; x + 3 = 2 + 3 = 5 (≠ 7)
If x = 3; x + 3 = 3 + 3 = 6 (≠ 7)
If x = 4; x + 3 = 4 + 3 = 7 ( =7)
x + 3 = 7 is true when x = 4
Which equation is equivalent to 8x + 3 ( x +5) -5 (x-4) = 2
The detailed answer explains how to simplify and solve the expression 8x + 3(x + 5) - 5(x - 4) = 2 step by step.
Explanation:To find the equation equivalent to 8x + 3(x + 5) - 5(x - 4) = 2, we need to expand and simplify the expression step by step:
Distribute the terms: 8x + 3x + 15 - 5x + 20 = 2Combine like terms: 6x + 35 = 2Isolate x: 6x = -33Solve for x: x = -33/6 or x = -11/2D/3+10=14 solve the equation
Answer: d = 12
Step-by-step explanation: First isolate d/3 by subtracting 10 from both sides of the equation. That gives you d/3 = 4.
From here, since d is being divided by 5, multiply both sides of the equation by 5 so d = 12.
A square on a coordinate plane has one vertex at (2.5,33) and a perimeter of 14 units. If all of the vertices are located in Quadrant I, what are the coordinates of the other 3 vertices? Please show how you solved this in a step-by-step order.
Answer:
A(2.5,36.5)
D(6,36.5)
and
C(6,33)
someone solve this equation much appreciated!
Answer:
[tex]\frac{2A}{h} = b[/tex]
Step-by-step explanation:
this can be done by simple manipulation .in the given equation, A is the subject.so, by the above statement you can understand the meaning of making something as a subject.given equation: A = 1/2 bhmultiply both the sides by 2,2A = bh
divide both the sides by h,[tex]\frac{2A}{h} = b[/tex]
so, the required form is : [tex]\frac{2A}{h} = b[/tex]
Joan has 3/4 yards of fabric. She needs 2/3 if that amount to make a small flag. How much fabric will she need in all?
Answer:
1/2 of a yard
Step-by-step explanation:
Here you have to find 2/3 of 3/4.
In this case "of" means multiplication.
2/3 × 3/4 = 2×3 / 3×4 = 6/12 = 1/2
at Sam's sandwich shop, toni ate 3/4 of a medium sandwich, Becky ate 3/4 of a small sandwich, and Mary jo ate 6/8 of a medium sandwich. explain why toni and Mary jo ate the same amount of sandwich, but toni and Becky ate different amounts
Answer:
Here's what I get
Step-by-step explanation:
Let's assume that the sandwiches are circular (because I couldn't find a good rectangular fraction maker.
Toni ate ¾ of a medium sandwich (Figure below).
Mary Jo ate ⁶/₈ of a medium sandwich.
Mary Jo ate the same amount as Toni, because ¾ = ⁶/₈
Becky ate ¾ of a small sandwich and Toni ate ¾ of a medium sandwich.
Becky ate less than Toni, because ¾ of a small amount is less than ¾ of a large amount.
In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and
OP = (2x – 1) m.
Parallelogram L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P.
What are the values of x and y?
Answer:
x = 11 m
y = 2 m
Step-by-step explanation:
The given figure is parallelogram, with MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and OP = (2x – 1) m
It is property of parallelogram that, the diagonals bisect each other.
Thus, from above,
MP = OP and LP = PN
Thus,
[tex]2x-1 = 21[/tex]
[tex]2x = 22[/tex]
[tex]x = 11[/tex]
and,
[tex]y+3 = 3y-1[/tex]
[tex]2y = 4[/tex]
[tex]y = 2[/tex]
Thus, x = 11 m and y = 2 m
Answer:
D. x = 11 m, y = 2 m
Step-by-step explanation:
Question: 3 of 20
Mark for Review
Instructions
Review Test
Stop Test
Sean ears $300 in a regular work week. A regular work week for Sean consists of 5 work days with 8 hours a day. How much money
does Sean eam each hour?
Answer:
Sean earns $7.5 in each hour.
Step-by-step explanation:
Given:
Money earned by Sean = $300
Number of hours worked in a day = 8 hrs
Number of days of work in a week = 5
We need to find Money earned in each hour.
First we will find Total hours work in a week.
Total hours work in a week is equal to Number of hours worked in a day multiplied by number of days work in a week.
Framing in equation form we get;
Total hours worked in a week = [tex]8\times5 = 40\ hrs[/tex]
Now we will find money earned for each hour.
Money earned each hour will be calculated by Dividing Total Money earned in a week by Total number of hours worked in a week.
Framing in equation form we get;
Money earned each hour = [tex]\frac{300}{40} = \$7.5[/tex]
Hence Sean earns $7.5 in each hour.
A dress that costs x dollars is on sale for 30% off. Write an expression to represent the sale price, in dollars, of the dress.
The expression to represent the sale price, in dollars, of the dress is x - 0.3x dollars
Solution:Given that dress that costs "x" dollars is on sale for 30% off
To find: expression to represent the sale price, in dollars, of the dress
Let the original price of dress is "x"
It is on sale for 30% offer. Which means 30 % of "x" is offer price
Sales price means the price of dress after offer
So the sales price is written as original price - offer price
Sales price = original price - offer price
Sales price = x - 30 % of x
On simplification we get,
[tex]\text {Sales price }=x-\frac{30}{100} \times x=x-0.3 x[/tex]
Thus the sales price of dress is x - 0.3x dollars
What is the slope of a line that is perpendicular to y = 1/8x - 9?
Answer:
-8
Step-by-step explanation:
Perpendicular means negative reciprocal of the slope.
Negative reciprocal of 1/8 is -8.
The slope of a line that is perpendicular to y = 1/8x - 9 is -8. This is because perpendicular lines have slopes that are negative reciprocals of each other.
Explanation:In Mathematics, particularly in algebra, the slope of a line is a measure of the steepness of the line. It's also a central part of the line's equation. In the equation you provided, y = 1/8x - 9, the slope of this line is 1/8.
The property of perpendicular lines is that their slopes are negative reciprocals of each other. The negative reciprocal of 1/8 is found by flipping the fraction to get 8/1 and changing the sign to get -8. Therefore, the slope of a line that is perpendicular to y = 1/8x - 9 is -8.
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Mathematics MH help ty
When multiplying (or dividing) both sides of an inequality by a negative number, the inequality symbol must be reversed/flipped, regardless of how many steps taken when solving the inequality.
If you were to multiply (or divide) by a positive number, then you would not have to reverse/flip the inequality symbol.
The question in the image is incomplete, so I cannot provide a true/false answer, but this information should be what you need to easily choose an answer.
Let me know if you need any clarifications and happy studying~
Answer:
False
Step-by-step explanation:
only flip symbol when dividing by a negative number
FIND THE DISTANCE....Brainlest and extra points.
Answer:BC=11.77 mi
Step-by-step explanation:
cosα=5.71mi/AC
cos61°=5.71mi/AC
0.485=5.71mi/AC
AC=11.77mi
Answer:
BC=10.28
Step-by-step explanation:
help me solve this
4 — (x-2) (x+2)
Using [tex](x-a)(x+a)=x^2-a^2[/tex] to obtain
[tex]4-(x^2-4)=4-x^2+4=8-x^2[/tex]
Hope this helps.
What is 2 5/10 x 3/4
Answer: 1.87500 or 15/8 simplified 1 7/8
Step-by-step explanation:
Answer:
1 7/8
Step-by-step explanation:
So you want to make 2 5/10 into a improper fraction which is 25/10. so 25/10*3/4 you need to do cross cancel but you can't cross cancel so the answer is just going to be 15/8 which is also 1 7/8 hope this helps ;))
All of the following are equivalent except _____.
-5(x - 1)
-5x + 5
5 - 5x
(5 - 5)x
Please explain how you got your answer, thanks
(5 - 5)x because it equals -5x+5x which is 0
all the others equal -5x +5
Answer:
(5-5)x
when you distribute the x here it becomes 5x-5x which is 0 this is the only problem that equals 0
4x/2+11x-20=0
Solve for quadratic formula
Answer:
I think -4 and 1.25
Step-by-step explanation:
There are 4 red and 6 green marbles in a jar. What is the probability of drawing two green marbles, with replacement?
2/5
9/25
3/5
4/25
Select EACH correct answer
Answer:
[tex]\frac{9}{25}[/tex]
Step-by-step explanation:
Number of red balls = 4
Number of green balls = 6
Total number of balls = 6+4 =10
Probability of drawing a green marble is given as
⇒ [tex]\frac{Number\ of\ green\ balls}{Total\ number\ of\ balls}[/tex]
⇒ [tex]\frac{6}{10}[/tex]
The ball is replaced after drawing.
Probability of drawing a green ball a second time will be:
⇒ [tex]\frac{Number\ of\ green\ balls}{Total\ number\ of\ balls}[/tex]
⇒ [tex]\frac{6}{10}[/tex]
Thus, probability of drawing 2 green balls with replacement can be given as:
⇒ (Probability of drawing a green marble) [tex]\times[/tex] (Probability of drawing a green ball a second time)
⇒ [tex]\frac{6}{10}\times\frac{6}{10}[/tex]
⇒ [tex]\frac{36}{100}[/tex]
Simplifying fraction by dividing numerator and denominator by their GCF.
⇒ [tex]\frac{36\div 4}{100\div 4}[/tex]
⇒ [tex]\frac{9}{25}[/tex] (Answer)
The difference between 2 times x and y is less than or equal to 1
Answer:
???
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 times x -------> 2x
The difference between 2 times x and y is 2x - y
The difference between 2 times x and y is less than or equal to 1:
2x - y<= 1
The Chinstrap Penguin about 68.58 centimeters tall whilethe Emperor penguin is 1.143 meters tall. How many centimeters taller is theEmperor penguin than the chinstrap pengin
Answer:
45.72 cm
Step-by-step explanation:
Given: Height of the Chinstrap Penguin= 68.58 cm
Height of the Emperor penguin= 1.143 meter
Lets calculate the height of Emperor penguin in centimeter.
Remember, 1 meter = 100 centimeter
∴ Converting the unit of height of Emperor penguin.
[tex]1.143\times 100= 114.3\ cm[/tex]
∴ Height of Emperor penguin is 114.3 cm.
Now, comparing the height of Chinstrap penguin and Emperor penguin´s height.
[tex]114.3\ cm - 68.58\ cm= 45.72\ cm[/tex]
∴ The Emperor penguin is 45.72 cm taller than Chinstrap penguin.
HELP:Sarah, who is 19 feet away from Justin, has a ball in her hand. Sarah throws the ball away from Justin at a speed of 5 feet per second. It takes the ball 4 seconds to reach a third friend, Brandon. When the ball reaches Brandon, how far away is it from Justin?
Answer:
Justin is 1 feet far away from Brandon
Step-by-step explanation:
As shown in the diagram, we let the distance between Justin and Brandon be x
[tex]Speed = \frac{distance}{time} [/tex]
from the question
the total time taken by the ball to reach Brandson=4s
Also the total distance is travelled by the ball=19+x
while the average speed=5ft/s
By substitution we obtain
[tex]5 = \frac{19 + x}{4} [/tex]
[tex] \implies4 \times 5 = 19 + x[/tex]
[tex]\implies20=19 + x[/tex]
[tex]\implies20 - 19 = x[/tex]
x=1 feet
The ball is 39 feet away from Justin. The ball, thrown by Sarah at 5 feet per second away from Justin, reaches Brandon in 4 seconds at a distance of 39 feet from Justin.
We need to understand the direction and speed of Sarah's throw relative to the distance between Sarah, Justin, and Brandon.
Sarah throws the ball away from Justin at a speed of 5 feet per second for 4 seconds. The formula to calculate the distance covered by the ball is:
Distance = Speed × TimeSo, Distance = 5 feet/second × 4 seconds = 20 feetThe ball travels 20 feet away from Sarah. Since Sarah is already 19 feet away from Justin, we need to add this distance to determine how far the ball is from Justin:
Distance from Justin = Sarah's Distance from Justin + Distance Traveled by the BallDistance from Justin = 19 feet + 20 feet = 39 feetHence, the ball is 39 feet away from Justin when it reaches Brandon.
The population of Bumpton increased by 10% from 1980 to 1990 and decreased by 10% from 1990 to 2000. What is the net percent change in the population of Bumpton from 1980 to 2000?
Answer:
10-10=10+10 its the same it will increase and decrease the increased level
. (6.03) Which of the following best describes the expression 6(y + 3)? (4 points) The product of two constant factors six and three plus a variable The sum of two constant factors six and three plus a variable The product of a constant factor of six and a factor with the sum of two terms The sum of a constant factor of three and a factor with the product of two terms
Answer:
B The sum of two constant factors six and three plus a variable
Step-by-step explanation:
Use the following figure to answer the question.
∠ 2 and ∠ 4 are adjacent angles.
True
False
Answer:
False, they are opposite angles
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
this is what i maked on my work
Jack puts 2 photos on each of 7 pages of his photo album. How many photos does he use? Complete the jumps on the number lineby adding arrows.
Answer:
14
Step-by-step explanation:
If Jack puts 2 photos per page and there are 7 pages 2x7=14 or 2+2+2+2+2+2+2=14 on a number line it would jump two lines each time.
The number of photos that he uses to fill the photo album will be 14.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Jack puts 2 photos on each of the 7 pages of his photo album.
Then the number of photos that he uses will be given by the multiplication of the numbers 2 and 7.
⇒ 2 x 7
⇒ 14
Thus, the number of photos that he uses will be 14.
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teddy brings snacks and ice cream while they wait for santa to arrive on christmas eve if the ice cream has 1250 calories for 5 servings what is the unit rate
Answer:
The unit rate is 250 calories per servings.
Step-by-step explanation:
Given:
The ice cream has 1250 calories for 5 servings.
Now, to find the unit rate.
So, by using unitary method:
If the 5 servings of ice cream has 1250 calories.
Then, to get the calories in 1 servings we divide number of calories by the number of servings:
= [tex]Number\ of\ calories \div number\ of\ servings[/tex]
[tex]=1250\ calories\div 5\ servings[/tex]
[tex]=250\ calories.[/tex]
Thus, in 1 servings there are 250 calories.
Therefore, the unit rate is 250 calories per servings.
What is the solution to the inequality 10.5x > 147
Answer:
x > 14
Step-by-step explanation:
10.5x > 147 (divide both sides by 10.5)
x > 147 / 10.5
x > 14
Inequalities help us to compare two unequal expressions. The solution to the inequality 10.5x > 147 is 14.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The solution of the inequality can be solved as shown below,
[tex]10.5x > 147\\\\x>\dfrac{147}{10.5}\\\\x>14[/tex]
Thus, the solution to the inequality 10.5x > 147 is 14, which means the value of the x must be greater than 14.
Hence, the solution to the inequality 10.5x > 147 is 14.
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