Solve
\(\begin{gathered} -12=3-2k-3k \\ \text{Collect like terms} \\ -12-3=-2k-3k \\ \text{Note that when a positive value crosses the equality sign, it becomes negative} \\ \text{Similarly when a negative value crosses the equality sign it becomes positive} \\ \text{Hence, 3 crosses over and becomes negative} \\ -12-3=-2k-3k \\ -15=-5k \\ \text{Divide both sides by -5} \\ \frac{-15}{-5}=\frac{-5k}{-5} \\ 3=k \end{gathered}\)What is an equation of the line that passes through the points (-6, 3)(−6,3)
Answer:
y = 3
Step-by-step explanation:
are you sure that's the right problem?
pls help me i’ll give ty brainlist
\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)
Option B is the answer.
Answer: C
i hope you can see my handwriting
Given: ABCD is a parallelogram with AE = 9x−5, AC = 14x + 34. Find AC
The value of AC according to given equation of Parallelogram is 188 units.
What is parallelogram?
In elementary geometry, a parallelogram may be a quadrilateral with 2 pairs of parallel sides. the alternative or facing sides of a quadrangle square {measure} of equal length
Main body:
according to question:
AE = 9X-5
AC = 14X+34
as E is midpoint of AC so , we can say
2AE = AC
2(9x-5)= 14x+34
18x-10= 14x+34
4x = 44
x = 11
Now we need to find AC = 14x+34
= 14*11+34
= 188 units
Hence the value of AC according to given equation of Parallelogram is 188 units.
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Population and Water
This activity will help you meet this educational goal:
Content Standards—You will explain why scarcity and choice are basic economic problems faced by every society.
Directions
Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work.
Activity
Think about the video you watched earlier and answer these questions.
Part A
What was the scarce resource in the video?
Part B
What are three uses for this scarce resource?
Part C
What examples can you give from the video that show how Mexico City residents are adapting to water scarcity?
Part D
If you were an adviser to the Mexican government, what would you suggest to alleviate the water problem?
Part E
Think about scarcity. What scarce resource might prevent the Mexican government from implementing your suggestions?
a. Water was the scarce resource in the video.
b. Water is used for drinking, farming, and electricity.
c. Mexicans depend on trucks to deliver water. They also started buying water from small water shops that are open to meet the water demand.
d. The government could focus on improving water delivery and plumbing. It could also provide bottled water to residents at a discounted rate.
e. The Mexican government may face a scarcity of time, money, or labor
What is a scarce resource?When the demand for a natural resource exceeds the supply, resource scarcity results, which causes the stock of those resources to decrease. As prices rise and the resource becomes less accessible to those who are least well-off, this could result in unsustainable growth and a rise in inequality.
Natural resources are inherently scarce, including gold, oil, silver, and other fossil fuels. These resources become scarce and their prices may rise when demand outpaces supply. Due to their scarcity and market dominance, some commodities, like diamonds, command a high price. Based on the information Illustrated as answers, water is this scarce resource.
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find the exact value of Sin A
Step-by-step explanation:
sin A = opposite/ Hypotenuse
Sin A = 5/7
Hello !
sin(A) = opposite/hypotenuse = 5/7
arcsin(5/7) ≈ 45,58°
sin(A) = 5/7
the angle A ≈ 45,58°
jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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Which of the following is a linear function?
0 x= 1/3x=y - 3
Oy = x^3 + 2
Oy = 6x^2
Oy = 2/3х
The linear functions are 1/3x=y-3 and y=2/3x. Therefore, options A and D are the correct answer.
What is a linear function?A linear function is a function that represents a straight line on the coordinate plane. The highest power of the variable is one.
Given are some equation, from the options, we need to identify which is a linear function.
1/3x=y-3 is the linear function in two variables.
y=x³ is the cubic function.
y=6x² is the quadratic function.
y=2/3x is the linear function in one variable.
Therefore, the linear functions are 1/3x=y-3 and y=2/3x.
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After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
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Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered?
Step-by-step explanation:
cheese : pepperoni : sausage : mushroom =
10 : 7 : 5 : 8
so, in total there are 10+7+5+8 = 30 "business pieces".
to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?
we get this from the 35 orders of pepperoni pizzas.
these 35 orders represent 7 "business pieces".
that means 1 "business piece" = 35/7 = 5 pizzas.
that means that 30 "business pieces" are 5×30 = 150
so, in total, 150 pizzas were ordered.
Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?
x(x2 – 5) + 6(x2 – 5)
x(x2 + 5) – 6(x2 + 5)
x2(x – 5) + 6(x – 5)
x2(x + 5) – 6(x + 5)
Answer:
D
Step-by-step explanation:
group them first :
( x3+5x2) and ( -6x-30)
then simply by gcf ( greatest common factor) :
x2(x+5) and -6(x+5)
and just add them together:
x2(x+5)-6(x+5)
bonus :
it can be written as (x2-6)(x+5)
The answer choice which shows how to determine the factors of the expression by grouping is; Choice D; x²(x + 5) – 6(x + 5)
Factorisation by groupingThe given expression is; x³ + 5x² – 6x – 30.
The expression is tetranomial, hence, by grouping into 2 terms each; we have;
(x³+ 5x²) (– 6x – 30)Ultimately, upon factorisation of each subunit of the expression, we have;
x²(x+5) -6(x+5)Read more on factorisation by grouping;
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If you roll a die, what is the probability of not
rolling a 4? Write your answer as a fraction.
Step-by-step explanation:
NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6
or 5 / 6
What is the volume of a cube with a side length of 3.75 m?
Round to the nearest hundredth.
O 7.50 m³
O 11.25 m³
O 14.06 m³
O 52.73 m³
The volume of a cube with a side length of 3.75 m is D. 52.73 m³.
What is the volume?Volume is described as the space occupied within the boundaries of an object in three-dimensional space.
Volume is the product of the length, width, and height of a three-dimensional space.
A cube is a three-dimensional space of equal lengths.
The side length of the cube = 3.75 m
The volume of a cube = a³ where a is the side length
= 3.75 m³
= 3.75 x 3.75 x 3.75
= 52.734375 m³
= 52.73 m³
Thus, the volume of the cube cannot be 7.50 m³, 11.25 m³, or 14.06 m³, but 52.73 m³.
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Please someone help!!!
Answer:
Step-by-step explanation:
A, B and C must be real numbers, and A and B are not both zero (which would cause division by zero in the calculation of the slope).
Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket
x/x+2 -4/x-2=1 solve the equation
i will mark the brainliest plz help
Answer: x = -2/3
\(\frac{x}{x+2}- \frac{4}{x-2}=1\\\\<=>\frac{x(x-2)}{(x+2)(x-2)}-\frac{4(x+2)}{(x+2)(x-2)}=1\\\\\\<=>\frac{x(x-2)-4(x+2)}{(x-2)(x+2)}=1\\\\\\=>x(x-2)-4(x+2)=(x-2)(x+2)\\\\\\<=> x^{2} -2x-4x-8=x^{2} -4\\\\\\<=>-6x-8=-4\\\\\\<=>-6x=8-4\\\\\\<=>-6x=4\\\\\\<=>x=-4/6=-2/3\)
Step-by-step explanation:
The first five numbers were 7,14,8,32,and 14. What was the average (mean) of these numbers?
Answer:
15
Step-by-step explanation:
1. add all the numbers:
7+14+8+32 + 14 = 75
2. then divide 75 by the amount of numbers you have. (in this case you have 5 numbers)
75/5 = 15
so your final answer is 15
hope this helped ^^
Find the missing side in the similar figures below
Answer:
e
Step-by-step explanation:
24*5/3=40
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answer: It's 30.
Step-by-step explanation: The dot at 200 on "Amount Spent" is also right between 20 and 40. Which is 30, your answer.
1) The talent competition was selling student tickets for $12 and adult tickets for $17. 145 people attended the competition. The school made $2,065. How many adults attended the talent competition?
2) John is in charge of feeding the pigs and cows on the farm. The cow's food costs twice as much as the pig's food. There are 46 cows and 22 pigs on the farm. John has an $860 budget for food a month. How much can John spend on food for each cow per month?
(1) The number of adults who attended the talent competition will be 65.
(2) The amount of money spent by john on cow food will be $15.08.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
(1) The number of adults will be calculated as,
12s + 17a = 2065
s + a = 145
Solve the above equation by elimination method,
12s + 17a = 2065
12s +12a = 1740
_____________
5a = 325
a = 65
(2) The cost for the cow food will be calculated as,
2p = c
46c + 22p = 860
Substitute the value 2p = c in the equation and solve,
46 x 2p + 22p = 860
92p + 22p = 860
114p = 860
p = 860 / 114= 7.54
The cost is,
c= 2p
c= 2 x 7.54
c = $15.08
Therefore, the number of adults who attended the talent competition will be 65. The amount of money spent by john on cow food will be $15.08.
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ASAP
help me this is so hard
please!!
1.)
0 = 1 occurrence1 = 1 occurrence2 = 1 occurrence3 = 1 occurrence4 = 1 occurrence5 = 0 occurrence6 = 1 occurrence7 = 1 occurrence8 = 1 occurrence9 = 2 occurrences10 = 0 occurrence11 = 2 occurrences12 = 1 occurrence13 = 2 occurrences14 = 0 occurrence15 = 1 occurrence16 = 0 occurrence17 = 1 occurrence18 = 1 occurrence19 = 0 occurrence20 = 2 occurrences2.)
a. P(even number) = 9/20
b. P(odd number) = 11/20
c. P(greater than or equal to 5) = 15/20 or 3/4
d. P(multiple of 4) = 5/20 or 1/4
e. P(divisible by 3) = 7/20
Step-by-step explanation:
In Mathematics, probability is a prediction of how howlikely events are to happen. To solve for the probability of an event, count the favorable outcomes of that specific event along with the total number of outcomes. Then, write them down in fraction form. If possible, simplify the fraction in lowest terms. Once you have the answer, you may also convert it to decimal or percent.
P(c) = number of fariable outcomes/total number of outcomes
For this particular problem, a spinner with numbers from 1-20 was spun twenty times. The results are as follows.
[11] [12] [20] [20] [7] [11] [15] [9] [8] [18] [O] [4] [6] [13] [17] (2] [1] [3] [9] [13]
To determine the number of occurrences for each number, arrange the results in ascending order (least to greatest) and count how many each of them has showed.
[O] [1] 12] [3] [41 [6] [7] [8] [9] 19] [11] [11] [12] [13] [13] [15] [17] [18] [20] [20]
0 = 1 occurrence1 = 1 occurrence2 = 1 occurrence3 = 1 occurrence4 = 1 occurrence5 = 0 occurrence6 = 1 occurrence7 = 1 occurrence8 = 1 occurrence9 = 2 Occurrences10 = 0 occurrence11 = 2 occurrences12 = 1 occurrence13 = 2 occurrences14 = 0 occurrence15 = 1 occurrence16 = 0 occurrence17 = 1 occurrence18 = 1 occurrence19 = 0 occurrence20 = 2 occurrenceTo find the experimental probability of an event, use the formula above. Take note that when countingfor the number of favorable outcomes, even if some numbers are recurring, each of it is still counted.
Among the results, 9 of them are even numbers which are 0, 2,4, 6, 8, 12, 18, 20, and 20 thus, 9 is the number of favorable outcomes while 20 is the number of total outcomes. The experimental probability of spinning an even number is 9/20.
As for the odd numbers, there are 11 which are 1,3, 7,9,9, 11, 11, 13, 13, 15, and 17 thus, 11 is the number of favorable outcomes while 20 is the number of total outcomes. The experimental probability of spinning an even number is 11/20.
For numbers greater than or equal to 5, fifteen of the results are greater than 5. They are 6,7, 8, 9, 9, 11,11, 12, 13, 13, 15, 17, 18, 20, and 20 therefore, the experimental probability of spinning a numbergreater than or equal to 5 is 15/20 or 3/4 in lowestterms. Meanwhile, five of the results are multiples of 4.
They are 4, 8, 12, 20, and 20 therefore, the experimental probability of spinning a number thatis a multiple of 4 is 5/20 or 1/4 in lowest terms.
Last, numbers that are divisible which showed in the results are 3, 6,9, 9, 12, 15, and 18.The probability of spinning a number that is divisible by3 is 7/20.
\( :) \)
Patti went to the bakery. she bought a loaf of bread for 3.49, 6 muffins that cost 1.25 each, and a bottle of juice for 1.75. she gave the cashier a 20$ bill
how much should Patti receive? write equations to show ur work
!HELLp NoW! Asap
Answer:
$ 7.26
Step-by-step explanation:
You're welcome :)
One car travels 390 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than
the first to go 372 miles. What are the speeds of the cars?
The speed of the cars are
miles per hour.
A school had 225 students enrolled last year. This year, 260 students are enrolled. Find the percent of change to the
nearest percent.
Answer:
15.5%
Step-by-step explanation:
No of students that had enrolled last year = 225
This year, 260 students are enrolled.
We need to find the percent of change in the number of students. It can be calculated as :
P = (change in no of students/initial no of students)×100
\(\%=\dfrac{260-225}{225}\times 100\\\\=15.5\%\)
So, the percent change is 15.5%.
Animals help ⚠️BLANK⚠️ flowers when eating it and depositing the seeds in a different area?
FILL IN THE BLANK PLEASE
Answer:
Animals help pollinate flowers by eating them and depositing the seeds in different areas.
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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Your job in a company is to fill quart-size bottles of oil from a full 30-gallon oil drum. Then you are to pack 8 quarts in a case to ship to a store. How many full cases of oil can you get from a full 30-gallon drum of oil?
Answer: 15 cases
Step-by-step explanation:
1 gallon = 4 quarts
Hence from 30 gallon oil drum, 30 x 4 = 120 quart-size bottles can be filled.
One case will pack 8 quart size bottles.
Hence number of cases = 120/8 = 15 cases
A circular walkway is to be built around a monument, with the monument as the center. The distance from the monument to any point on the inner boundary of the walkway is 30 feet.
The equation of the inner boundary of the circular walkway around the monument is x² + y² = 900.
The equation of the outer boundary of the circular walkway around the monument is x² + y² = 1369.
What is the equation of a circle?A circle is a conic section whenever the plane cuts the cone parallel to its base. Every point of the circumference lies at the same distance from its center. The equation of a circle is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.
a.
According to the diagram, the radius of the inner boundary is 30 feet and the center is (0, 0).
Substitute h = 0, k = 0, and r = 30 into the equation of circle (x-h)² + (y-k)² = r².
(x-0)² + (y-0)² = 30²
x² + y² = 900
Therefore, the obtained answer is x² + y² = 900.
b.
According to the diagram, the radius of the outer boundary is 37 feet (30 feet + 7 feet) and the center is (0, 0).
Substitute h = 0, k = 0, and r = 37 into the equation of circle (x-h)² + (y-k)² = r².
(x-0)² + (y-0)² = 37²
x² + y² = 1369
Therefore, the obtained answer is x² + y² = 1369.
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The complete question is mentioned in the image below.
Indentify the y-intercept of the graph below
Answer:
it depends on the graph.