Answer:
63
Step-by-step explanation:
JK + KL = JL
7x+9 +9x+9 = 114
Combine like terms
16x+18 = 114
Subtract 18 from each side
16x+18-18 = 114
16x =96
Divide by 16
16x/16 = 96/16
x =6
We want to find KL
KL = 9x+9
= 9*6 +9
= 54 +9
63
Divide
(2xy + 10) by 2
PLS FAST
Answer:
xy+5
Step-by-step explanation:
Answer: xy + 5
Work: So, we are going to divide everything by two. So, in the current equation, it divides everything by two, including the current two, which cancels it. So, after all the division, we get the current answer; xy + 5
I hope this helps, and Happy Holidays! :)
This is geometry math solve and need answer this
Answer:
(-5,-8)
Step-by-step explanation:
I hope this helps!!! XD
rne subtracted 6x3 2x
find the difference.
from -3.x3 +
4x - 7. Use the drop-down menus
to identify the steps Lorne used
(-3x' + 5x7,+ 4x - 7) + (-6x3 + 2x -3)
(-3x°) + 5x2 + 4x + (-7) + (-6x3) + 2x + (-3)
[(-3x*) + (-6x°)] + [4x + 2x] + [(-7) + (-3)] + [5x2)
-9x° + 6x + (-10) + 5x2
-9x' + 5x2 + 6x - 10
A cold front move through the area quickly. In the morning, the temperature i 82oF and after 6 hour the temperature ha dropped to 58oF. If the temperature dropped at a teady rate, how much did it drop each hour? Variable: ______________________________ Equation: ______________________________ Solution: _
Answer:
Step-by-step explanation:
if 5 builders take 5 days to make 5 walls, how long would it take 100 builders to make 100 walls? days
To approach this type of problem, you have to make a couple of reasonable assumptions - first, that each worker works at the same pace, and second, that the effort to build each wall is the same.
Next, figure out how much effort is required to build one wall. The effort is measured in “working days”. So, how many days does one worker need to build one wall, or how many workers would be required to build one wall in one day? We can calculate this by dividing the 25 worker days used to build five walls by the number of walls (5). So we need five worker days per wall.
(5 workers) x (5 days) = 25 worker-days;
25 worker days/5 walls = 5 worker days per wall.
With 100 workers, it will take five days to build 100 walls. Each worker will build one wall in 5 days. So it will also take 5 days for all 100 workers to build all 100 walls.
100 x 5 = 500 worker days;
500 worker-days / 100 workers = 5 days (answer)
A bakery sells pies and cakes. In November, they sold 400 pies and 250 cakes totaling $8,550. In December, they sold 300 pies and 500 cakes totaling $11,100. What is the price of a pie?
The price of one pie is 12 dollars.
How to find the price of pie ?A bakery sells pies and cakes. In November, they sold 400 pies and 250 cakes totalling $8,550. In December, they sold 300 pies and 500 cakes totalling $11,100.
The price of a pie can be calculated as follows:
using equation,
let
x = cost of a pie
y = cost of a cake
Therefore,
400x + 250y = 8550
300x + 500y = 11100
multiply equation(ii) by 2
800x + 500y = 17100
300x + 500y = 11100
subtract the equations
500x = 6000
divide both sides by 500
x = 6000 / 500
x = 12
Hence,
price of the pie = 12 dollars
learn more on price here:https://brainly.com/question/21960834
#SPJ1
Question 4
At practice, Diego does twice as many push-ups as
Noah, and also 40 jumping jacks. He does 62 exercises
in total. The equation 2x+40=62 describes this situation.
What does the variable x represent?
The number of push-ups Diego does.
The number of push-ups Noah does.
The number of jumping jacks Diego does.
The number of jumping jacks Noah does.
Answer: The number of push-ups Noah does.
Step-by-step explanation:
Diego does twice as many push-ups as
Noah (2x) and also 40 jumping jacks (+40). He does 62 exercises (=62).
It's not the amount that Diego does because Diego's amount is twice of Noah's, or twice of x. X would have to equal the number of push-ups Noah does.
Thi i a pond in the hape of a prim. It i completely full of water. Colin ue a pump to empty the pond. The level goe down by 20cm in the firt 30min. How many minute until completely empty
This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.
We have a pond which is completely filled with the water.
Area of the side face ( trapezium shaped)
= 1/2 x (1.4 + 0.6) x 2
= 2 m²
Volume = area x height (here width)
V = 2x1 = 2 m³
The level goes down by 20cm in the first 30 mins
Volume of water that will be taken down =
=0.2 x 1 x 2
=0.4 m³ ( upper water will form cuboid face)
Now,
⇒0.4 m³ water is taken out in 30 minutes
⇒1 m³ water is taken out in 30/0.4 minutes
⇒2 m³ water is taken out in 30/0.4 x 2 minutes
⇒30x2/0.4
⇒150 minutes.
So the pond will be completely empty in 150 min that is 2hrs30mins.
Learn more about Pond based question:
https://brainly.com/question/20908312
#SPJ4
Is this relation a function? {(1,4), (-5,2), (4,1), (1,6)}
Answer:
no
Step-by-step explanation:
No, it is not since 2 points have the same x-coordinate and different y-coordinates.
x3 - 2x2 + 1 = 0 is a quadratic equation.
True
False
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.
Is the statement true or false?
If x = 6, then x can
only be equal to 6.
True
False
Copyright © 2003 - 2021 Asellus Corporation
The statement "If |x| = 6, then x can only be equal to 6" is false.
The absolute value of a number represents its distance from zero on the number line.
The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.
In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.
Hence, x is not limited to being equal to only 6.
To learn more on Absolute value click:
https://brainly.com/question/4691050
#SPJ6
- m/3 = -4
find the answer for m with work provided
Answer:
m = 12
Step-by-step explanation:
\(-\frac{m}{3} =-4\\\)
→ Multiply both sides by 3
\({-m} =-12\\\)
→ Multiply both sides by -1
m = 12
please help with both questions??!!
Answer:
a. y = 6x +15
b. 15
Step-by-step explanation:
a.The differences in the number of trees is 4-2 = 2, 6-4 = 2, and so on. The differences in the corresponding cost is 39-27 = 12, 51-39 = 12, and so on. That means adding 2 trees to the quantity adds 12 to the cost.
Working in reverse, we can subtract 2 trees from the quantity and subtract 12 from the cost. When we do that for the first table entry, we find 2-2 = 0 trees cost 27-12 = 15. The cost per tree is 12/2 = 6.
Now, we have the cost per tree, and the cost for 0 trees. This lets us write the cost function as ...
y = 6x +15 . . . . y = cost for x trees
__
b.The cost for 0 trees is 15, so that must be the shipping charge.
The shipping charge is 15.
_____
Additional comment
You can do this without thinking too much by using the formulas for 'm' and 'b' to write the cost function.
m = (y2 -y1)/(x2 -x1) = (39 -27)/(4 -2) = 12/2 = 6
b = y -mx = 27 -6(2) = 15
Then the equation is ...
y = mx +b
y = 6x +15
Sandhill Corporation sells three different models of a mosquito "zapper." Model A12 sells for $60 and has unit variable costs of $42. Model B22 sells for $120 and has unit variable costs of $84. Model C124 sells for $480 and has unit variable costs of $360. The sales mix(as a percentage of total units) of the three models is A12,60\%; B22, 15\%; and C124,25%. What is the weighted-average unit contribution margin? (Round answer to 2 decimal places, es. 15.50.)
The weighted-average unit contribution margin is $46.20.
The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.
To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:
For Model A12:
Unit contribution margin = Selling price - Unit variable cost
= $60 - $42
= $18
For Model B22:
Unit contribution margin = Selling price - Unit variable cost
= $120 - $84
= $36
For Model C124:
Unit contribution margin = Selling price - Unit variable cost
= $480 - $360
= $120
Next, we multiply each unit contribution margin by its respective sales mix percentage:
Weighted contribution margin for Model A12 = 60% * $18 = $10.80
Weighted contribution margin for Model B22 = 15% * $36 = $5.40
Weighted contribution margin for Model C124 = 25% * $120 = $30.00
Finally, we sum up the weighted contribution margins:
Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.
Learn more about percentage here:
brainly.com/question/32197511
#SPJ11
For the in parts A through E, choose the highest level of measurement (or cannot be determine).
A. Temperature of refrigerators ---
Nominal
Ratio
Cannot determine
Interval
Ordinal
B. Horsepower of race car engines ---
Ordinal
Interval
Nominal
Cannot determine
Ratio
C. Marital status of school board members ---
Interval
Nominal
Ordinal
Cannot determine
Ratio
D. Ratings of televisions programs (poor, fair, good, excellent) ---
Ordinal
nominal
Interval
Cannot determine
Ratio
E. Ages of children enrolled in a daycare
Ordinal
nominal
Interval
Cannot determine
Ratio
Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval
The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.
The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.
The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.
The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.
The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.
Learn more about nominal scale visit:
brainly.com/question/28465126
#SPJ11
Hi! Can anyone help me figure out how to answer this question? I'm really stuck right now and could use some help.
Answer:
137°
Step-by-step explanation:
The opposite angles of an inscribes quadrilateral are supplementary (add up to 180°.
m∠A+43 = 180°
Subtract 43 from both sides
m∠A = 137°
Betty has 42 butterfly stickers, as shown below.
She puts an equal number of stickers on each of 6 pages in her sticker book.
How many stickers does Betty put on each page in her sticker book?
Answer:
7
Step-by-step explanation:
42/6=7
any luck of help? pls say yess I'll brainlist u!!! give u 5 star just help me answer
Answer:
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y = \(3x^{2} + 1\)
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y = \(3x^{2} + 1\)
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y = \(3x^{2} + 1\)
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y = \(3x^{2} + 1\)
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y = \(3x^{2} + 1\)
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
A certain manufacturer produces two product p & q. each unit of product p requires (in its production) 20 units of row material a & 10 units of row material b. each unit of product of requires 30 units of raw material a & 50 units of raw maternal b. there is a limited supply of 1200 units of raw material a & 950 units of raw material b. how many units of p & q can be produced if we want to exhaust the supply of raw materials?
The maximum number of units of product P and Q that can be produced is 45, and 10 respectively.
Let's assume the number of units of product P to be produced is 'x', and the number of units of product Q to be produced is 'y'.
According to the given information, each unit of product P requires 20 units of raw material A and 10 units of raw material B.
Therefore, the total units of raw material A required for producing 'x' units of product P would be 20x,
and the total units of raw material B required would be 10x.
Similarly, each unit of product Q requires 30 units of raw material A and 50 units of raw material B.
Therefore, the total units of raw material A required for producing 'y' units of product Q would be 30y,
and the total units of raw material B required would be 50y.
Since the total available units of raw material A are 1200 and the total available units of raw material B are 950,
write the following equations,
20x + 30y ≤ 1200 (equation 1) ___ for raw material A
10x + 50y ≤ 950 (equation 2) ___ for raw material B
To find the maximum values of 'x' and 'y' that satisfy these equations,
solve this system of linear inequalities.
To simplify the equations, let's divide both sides of equation 1 by 10 and equation 2 by 10,
2x + 3y ≤ 120 (equation 1)
x + 5y ≤ 95 (equation 2)
Now, use substitution method to find the feasible solutions for 'x' and 'y'.
From equation 2, rearrange it as,
x ≤ 95 - 5y
Substituting this value of 'x' in equation 1, we get,
2(95 - 5y) + 3y ≤ 120
190 - 10y + 3y ≤ 120
190 - 7y ≤ 120
-7y ≤ -70
y ≥ -70 / -7
y ≥ 10
Now, substitute this value of 'y' in equation 2,
x + 5(10) ≤ 95
x + 50 ≤ 95
x ≤ 95 - 50
x ≤ 45
Hence, the feasible range of values for 'x' is 0 ≤ x ≤ 45, and the feasible range of values for 'y' is y ≥ 10.
To exhaust the supply of raw materials,
Produce the maximum number of units of products P and Q. So, take the highest possible values,
If set x = 45, then y = 10 (to satisfy equation 2).
If set y = 10, then x = 45 (to satisfy equation 1).
Therefore, the maximum number of units of product P that can be produced is 45, and the maximum number of units of product Q that can be produced is 10.
learn more about units here
brainly.com/question/29018962
#SPJ4
Christian can clean the room and 20 minutes by himself and Bob can clean the room and 30 minutes by himself how long would it take to clean the room if they work together
Answer:
it would take 10 minutes if they worked together
Step-by-step explanation:
Fill in the blank with an appropriate word, phrase, or symbol(s). The number of regions created when constructing a Venn diagram with three overlapping sets is The number of regions created when constructing a Venn diagram with three overlapping sets is 8 3 6
The number of regions created when constructing a Venn diagram with three overlapping sets is 8.
In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.
When three sets overlap, there are different combinations of elements that can be present in each region.
For three sets, the number of regions can be calculated using the formula:
Number of Regions = 2^(Number of Sets)
In this case, since we have three sets, the formula becomes:
Number of Regions = 2^3 = 8
So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.
Each region represents a unique combination of elements belonging to different sets.
These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.
Therefore, the correct answer is 8.
To know more about Venn diagram refer here :
https://brainly.com/question/318076803
#SPJ11
Sam decides to build a square garden. If the area of the garden is 9x^2 - 24x + 16 square feet, what is the length of the garden.
The length of the square garden is s = ( 3x - 4 ) feet
Given data ,
Let the length of the square garden be s
Now , The area of a square is given by the formula A = s², where s is the length of one side of the square.
We are given that the area of the garden is:
A = 9x² - 24x + 16
To find the length of the garden, we need to take the square root of the area:
s = √(A)
Substituting the given expression for A, we get:
s = √(9x² - 24x + 16)
We can simplify this expression by factoring the quadratic under the square root sign:
s = √[(3x - 4)(3x - 4)]
Using the property that the square root of a product is equal to the product of the square roots, we can simplify further:
s = (3x - 4)
Hence , the length of the garden is 3x - 4 feet
To learn more about area of square click :
https://brainly.com/question/17707380
#SPJ1
ccording to the Texas Water Development Board, the average per capita per day water usage in this same area is 89 gallons. What are some reasons that the per capita per day water consumption be higher than the wastewater generated
There are several possible reasons why per capita per day water consumption could be higher than the wastewater generated:
Non-domestic water use: Per capita water usage includes not only water used in households but also water used for commercial, industrial, and agricultural purposes. Wastewater, on the other hand, only includes water that has been used in households and is discharged into the sewer system. Therefore, if there is significant non-domestic water use in the area, per capita water usage could be higher than wastewater generated.
Inefficient water use: Even though per capita water usage is high, some of the water used may not end up in the wastewater stream. For example, water may be used for landscaping or irrigation, and much of it could evaporate or soak into the ground before it reaches the sewer system. This would result in higher water usage than wastewater generated.
Water loss: The water distribution system may experience leaks or other losses, resulting in some of the water being lost before it reaches households or other water users. This would result in higher water usage than wastewater generated.
Infiltration and inflow: In some cases, rainwater or groundwater can infiltrate into the sewer system or inflow into wastewater treatment plants, increasing the volume of wastewater generated. This could result in lower wastewater generated than per capita water usage.
Time lag: There may be a time lag between water usage and wastewater generated, especially in areas with septic systems. It is possible that some of the water used today may not be discharged into the sewer system for several days or even weeks, resulting in higher per capita water usage than wastewater generated on any given day.
To learn more about wastewater here
https://brainly.com/question/30939874
#SPJ4
The width of a rectangle is 5 feet less than the length. The perimeter is 62. Find the length and width of the rectangle.
Variables: ___________________________
Model equation: ______________________________
Length of the rectangle: ______________________________
Width of the rectangle: ______________________________
Perimeter formula: p = 2(w + l)
The perimeter is 62.
p = 62
The width of a rectangle is 5 feet less than the length.
w = l - 5
Substitute and solve.
62 = 2[(l - 5) + l)]
62 = 2l + 2l - 10
62 = 4l - 10
72 = 4l
18 = l
Substitute and solve for the width
w = 18 - 5
w = 13
Therefore, the length is 18 and the width is 13.
Best of Luck!
Answer:
see below and attached.
Step-by-step explanation:
Perimeter (P) = 2 L (Length) + 2 W (Width)
where P = 62
W = L - 5
P = 2L + 2W
62 = 2L + 2(L -5)
62 = 2L + 2L - 10
72 = 4L
L = 72/4
L = 18
W = L - 5
W = 18 - 5
W = 15
Variables : P, L, W
Model equation: P = 2L + 2W
Length of the rectangle: 18
Width of the rectangle: 13
I'll be your bestie if you help me out sis !!!!! Find the surface area of the cylinder. Give your answer to two decimal places. SHOW YOUR WORK so I can see if it makes sense!
Answer:
Surface Area of the Cylinder is 1156.11
Step-by-step explanation:
To find the Surface Area of a Cylinder, the equation given is A = 2πrh+2πr2
Given the radius and height of the cylinder, we plug those numbers into the equation to get;
A = 2π(8)(15)+2π(8)2
= 1156.11
Answer:
1155.52 cm²
Step-by-step explanation:
SA = LSA (Pb x h) + 2B
- r = 8 cm, h = 15, π (pi) = 3.14
Lateral Surface Area (LSA) = Pb (Perimeter of base) x h (height)
8 x 2 = 16 x 15 = 240 x 3.14 = 753.6
Area of the Base x 2 = πr² x 2
8² x 3.14 = 64 x 3.14 = 200.96 x 2 = 401.92
753.6 + 401.92 = 1155.52
Can someone help with this?
In the given diagram, given that the shapes have the same area, the value of y is 3.
Calculating Area: Determining the value of yFrom the question, we are to determine the value of y in the given diagram.
From the given information,
The yellow shapes have the same area.
The area of the shape is
Area = 8 × (3y + 1)
Area = 24y + 8
For the second shape,
Area = (15 × (y + 5)) - (4 × (7y - 11))
Area = (15y + 75) - (28y - 44)
Area = 15y + 75 - 28y + 44
Area = 119 - 13y
Since the shapes have the same area, we can write that
24y + 8 = 119 - 13y
24y + 13y = 119 - 8
37y = 111
y = 111/37
y = 3
Hence, the value of y is 3
Learn more on Calculating Area here: https://brainly.com/question/31614586
#SPJ1
this is what truthfully struggle with can someone explain how i do this please then imma try it on my own
My cousin needs help on all the questions. Please help him he is failing math
Answer:
(a) more
(b) less
(c) more
(d) greater
(e) Left to right: Susan, George, Antonio, Maria
Step-by-step explanation:
When a point total is lower, more points are needed to stay in the game.
__
(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.
__
(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.
__
(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.
__
(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.
__
(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.
_____
* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), exactly 25 points might be needed. That is, there is some ambiguity in part (b) in that Susan might need less than or equal to 25 points. Susan's phone could be either the first or the second.
The problem is poorly worded. The answer choices above are consistent with the problem statement overall.
A number ending in ___ is never a perfect square.
Answer:
2, 3, 7 or 8
Step-by-step explanation:
What is the solution to the equation 32x − 1 = 243?
options: A) x = 2 B) x = 3 C) x = 4 D) x = −2
the solution to the equation 32x - 1 = 243 is x = 7.625
To solve the equation 32x - 1 = 243, we can follow these steps:
1. Add 1 to both sides of the equation to isolate the term with the variable:
32x - 1 + 1 = 243 + 1
32x = 244
2. Divide both sides of the equation by 32 to solve for x:
(32x) / 32 = 244 / 32
x = 244 / 32
Simplifying further:
x = 7.625
Therefore, the solution to the equation 32x - 1 = 243 is x = 7.625.
None of the given options (A, B, C, D) match the solution.
Learn more about equation here
https://brainly.com/question/30106888
#SPJ4