Answer:
Option A is correct
equation [tex]2(x+14)=42[/tex] could be used.
Step-by-step explanation:
Given: The length of a rectangle [tex](l)[/tex] is 14 inches and perimeter of rectangle is 42 inches.
Perimeter(P)of a rectangle in inches is given by:
[tex]P= (2l+w)[/tex] ; where [tex]l[/tex] is the length of the rectangle and w is the width of the rectangle.
Substitute the value of P=42 inches , w =x inches and [tex]l = 14[/tex] inches in the above formula we get;
[tex]42 = 2 \cdot (14+x)[/tex]
Divide by 2 on both sides we get;
[tex]21 = 14+x[/tex]
On simplify, we get;
x = 21-14 = 7 inches
therefore, the width of the rectangle is, x = 7 inches
Check :
Substitute the value of x =7 in option A.
[tex]2(x+14) =42[/tex]
[tex]2(7+14)=42[/tex]
[tex]2\cdot 21 =42[/tex]
42 = 42
Hence, the only equation that could be used to find the width, x is, [tex]2(x + 14) = 42[/tex]
Which matrix will always give a determinant of 0?
Answer:
the answer is D!
Step-by-step explanation:
Solve P=hr(1-d) for d
To solve the given equation [tex] P=hr(1-d) [/tex]
By using the distributive property "a(b+c)=ab+ac"
[tex] P=hr-hrd [/tex]
[tex] hrd=hr-P [/tex]
[tex] d=\frac{hr-P}{hr} [/tex]
[tex] d=1-\frac{P}{hr} [/tex]
Therefore, [tex] d=1-\frac{P}{hr} [/tex] is the value of 'd'.
Please literally anyone help
Dalia is installing a tile floor in a rectangular room. Dalia has 152152152 tiles available to tile the room. If each row requires 9\large\frac{1}{2}9 2 1 9, start fraction, 1, divided by, 2, end fraction tiles, and 191919 tiles break while Dalia is laying the floor, how many full rows of unbroken tile can she install before running out of tiles?
A mother has 5 liters of cream to make ice cream for a party.suger comes in 1kg bags how many suger will be needed
Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.
Answer:
Step 3 is wrong, he used the wrong circle
Step-by-step explanation:
To determine the minimum number of employees, solve the inequality 2/3 x > 36 to find x > 54. In Miguel's cookie choice, the events are dependent. According to the law of large numbers, probabilities stabilize as the number of trials increases.
Explanation:The question involves solving and graphing an inequality to find the minimum number of employees in an office based on their preferences for soft cookies. Since two thirds prefer soft cookies and more than 36 employees stated their preference, we can write this as an inequality where x represents the total number of employees: 2/3 x > 36. To solve for x, we multiply both sides of the inequality by 3/2, giving us x > 54. This tells us that there must be more than 54 employees in the office.
To graph the inequality, we would draw a number line, plot a point just above 54, and shade to the right to indicate all the numbers that are greater than 54. The question of dependent probabilities relates to Miguel's cookie selection where each choice affects the next; the events are not independent. Finally, the law of large numbers indicates that as the number of trials n increases, the experimental probabilities tend to get closer to the theoretical probabilities.
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house
A transformation T: (x, y) (x - 5, y + 3).
The image of A(2, -1) is
(3, 2)
(-3, 2)
(-3, -2)
Answer:
i can confirm the above awnser is correct
Is it possible for a system to have more than one solution? Explain your answer
Which pair of expressions is equivalent for any variable value greater than zero?
Answer:
D. b+b+3c and 2b+3c
Step-by-step explanation:
The question wants us to find out expressions is equivalent for any variable value greater than zero. So let's analyse all the possible answers to find the correct one.
A. (x+3) and 3x+ 2
If x = 1 , we have:
(x+3) = 4 3x+2 = 5Both of the two sides are not equivalent
B. 4d+2e and 8d+e
If e=1 and d=1, we have:
4d+2e = 88d+e = 9Both of the two sides are not equivalent
C. f+f+f+g and 3fg
If f=1 and g=1, we have:
f+f+f+g = 43fg = 3Both of the two sides are not equivalent
D. b+b+3c and 2b+3c
If b=1 and c=1, we have:
b+b+3c = 52b+3c = 5Both of the two sides are equivalent
Or we will simplify the left side: b+b+3c = 2b+3c, hence 2b+3c = 2b+3c are apparent
So we choose D.
The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the perimeter of the rectangle? A) 14x − 6 B) − 8x + 2 C) 6x2 − 8x D) 6x2 − 8x + 2
Orlando bought a new couch for 2,736, using the furniture store's finance plan. He will pay $114 a month for 24 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?
Answer:
[tex]y = 2736 - 114x[/tex]
Step-by-step explanation:
It is given that the cost of the couch was $2,736. Orlando bought that couch using furniture store's finance plan. The plan says that he is supposed to pay $114 per month for a period of 24 months.
we are asked to determine the equation which can determine the total amount still due on orlando after x number of months.
Let the total number of month we are calculating = x
Payment per month = $114
Hence payment made in x months = $114x
Hence payment still owned by Orlando = $2736-$114x
Above equation gives us the dues on Orlando
Need the answer fast, anyone know?
A jug of juice has 7 cups of pineapple juice and 3 cups of orange juice. write the ratio of number of cups of pineapple juice to total number of cups of juice *
Riley is saving up to buy a new television. She needs a total of $1,142.58. Riley has saved $200.82 already and earns $78.48 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A.
10
B.
13
C.
11
D.
12
Determine if each set of ordered pairs represents a function
Answer:
Function:(7,-4), (0,9), (2,-2)
(-6,5),(-5,6), (8,2)
(2,3),(6,-5),(-1,3)
Not a function:(0,3),(0,7),(4,0)
(1,9),(-3,-2),(1,-4)
Step-by-step explanation:
edge
the number of squares in 15 quilts if 6 quilts have 288 squares
A restaurant purchased 160 boxes of mustard packets. Each box contained 103 packets of mustard. How many mustard packets in total did the restaurant purchase?
Answer:
Total number of mustard packets = 16,480
Explanation:
A restaurant buy mustard box = 160
Each mustard box contain packet = 103 packet
In order to find the total number of packets
Total number of packet = (number of mustard boxes)*(number of packets in a box)
Now put the values in given formula
Total number of packet = 160 * 103
Total number of packet = 16,480
final answer, I hope it helps
Which economic system is friendliest to entrepreneurs?
a.socialismb.communismc.capitalismd.They are all equally accepting, since entrepreneurship relies on the individual.
Answer:
The answer is capitalism.
Step-by-step explanation:
Capitalism is friendliest to entrepreneurs and market economies also rely on capitalism. This is because capitalism and free enterprise helps to create a marketplace where producers and consumers are free to sell and buy what they choose.
How many solutions does the following equation have?
4(y - 30) = 4y + 12
a. No solutions
b. Exactly one solution
c. Infinitely many solutions
Factor completely x^2 − 36.
(x + 6)(x − 6)
(x + 6)(x + 6)
(x − 6)(x − 6)
Prime
ANSWER
[tex] (x + 6)(x - 6)[/tex]
EXPLANATION
The given expression is
[tex] {x}^{2} - 36[/tex]
We write to obtain;
[tex] {x}^{2} - {6}^{2} [/tex]
Recall that;
[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
We apply this difference of squares formula to get;
[tex]{x}^{2} - {6}^{2} = (x - 6)(x + 6)[/tex]
The correct choice is A
Answer:
(x+6)(x-6)
Step-by-step explanation:
need help ive always had trouble with writing functions.
Candy is on sale for $0.75 each. you have a coupon for $0.25 off your total purchase. write a function rule for the cost of n pieces of candy.
A. C(n)0.25n-0.75
B. C(n)=0.75n-0.25
C. C(n)=1.0n
D. C(n)=0.75n
Simplify by using fractional exponents.
[tex] \sqrt{mn}[/tex]
how do you do the elimination method? Example: -8+6y=2;16x-3y= -13
(click on picture to see the full thing)
Find the dimensions of a rectangle with a perimeter of 72 cm if the length is 8 cm less than three times the width.
Given: g ∥ h and ∠2 ≅ ∠3
Prove: e ∥ f
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorme
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
What is the missing reason in the proof?
A. vertical angles theorem
B. alternate exterior angles theorem
C. converse corresponding angles theorem
D. converse alternate interior angles theorem
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Given: g ∥ h and ∠2 ≅ ∠3
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2.corresponding angles theorem
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. Converse alternate interior angles.
As we know that if alternate angles are equal then two lines would be parallel using converse alternate interior angles.
Hence, Option 'D' is correct.
Answer:
d. converse alternate interior angles theorem
Step-by-step explanation:
You are choosing between two different cell phone plans. the first plan charges a rate of 25 cents per minute. the second plan charges a monthly fee of $49.95 plus 10 cents per minute. how many minutes would you have to use in a month in order for the second plan to be preferable
Suppose that x and y vary inversely and x = 1 when y = 12. Write a function that models the inverse variation. Graph the function and find y when x = 20.
Write a function that models the inverse variation.
a triangular plot of land has boundary lines 45 meters, 60 meters, and 70 meters long. the 60 meter boundary line runs north-south. Is there a property for the boundary line that runs east-west
No, there is no property for the boundary line that runs east-west.
Explanation:No, there is no property for the boundary line that runs east-west. This is because if we have a triangle with side lengths 45 meters, 60 meters, and 70 meters, and the 60 meter side runs north-south, then the other two sides must be at an angle to the north-south line. It is not possible for one of the sides to be parallel to the north-south line (east-west) because that would create a rectangle rather than a triangle.
Emma took a taxi from the airport to her house. She paid a flat fee of $5$5 plus $3.70 per mile. The fare came to $42. For Emma's taxi ride, which equation gives the correct distance (
d.d in miles?
Answer:
5+3.7⋅d=42
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