6x - 2y = 18
3x + 4y= -6
Which of the following ordered pairs (x, y) is the
solution to the system of equations shown above?
A. (-3,2)
B. (-2,3)
C. (2, -3)
D. (3,-2)
Answers
Answer:
C. (2, -3)
Step-by-step explanation:
Easiest and fastest way to get the solution set is to graph the systems of equations and analyze where the graphs intersect.
Related Questions
what is 8/12 as a fraction as a product of a whole number and a unit fraction?
Answers
Answer:
0.6 repeated
Step-by-step explanation:
Is 6,702,512 divisible by 9?
Answers
For a field trip 9 students rode in cars and
the rest filled eight buses. How many
students were in each bus if 265 students
were on the trip?
Answers
Answer:
32 students were on each bus.
Step-by-step explanation:
First deduct 9 students from the total number: 265 - 9 = 256
Then divide the students among the total number of buses, which is 8: 256/8 = 32
So there are 32 students on each bus.
Hope this helps
Please give brainliest
What is (3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)?
Answers
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.
(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)
= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)
The next step is to combine like terms within each parentheses:
= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)
= (56x - 3x² + 7) + (-8x + 2x³ + 3)
Finally, we can add the two expressions:
= (56x - 3x² + 7) + (-8x + 2x³ + 3)
= 56x - 3x² - 8x + 2x³ + 3 + 7
= 56x - 3x² - 8x + 2x³ + 10
The final answer is 56x - 3x² - 8x + 2x³ + 10.
Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.
Answers
The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.
In the response, the following elements were included:
1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.
2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.
3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.
4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.
Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.
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Porter is buying t ride tickets at the country fair. He spends d dollars and receives 3 tickets for every dollar he spends. Which is the independent variable and which is the dependent variable?
Answers
The independent variable and the dependent variable are the number of dollars spent and the number of tickets bought
How to determine the independent variable and the dependent variable?Given that we have the following statement:
Porter is buying t ride tickets at the country fair. He spends d dollars and receives 3 tickets for every dollar he spends.The independent variable is the input value
i.e. the number of dollars spent
Similarly, the dependent variable is the output value
i.e. the number of tickets bought
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Write numerical expression for the below problem and simplify the expression 1 pint= _ fluid ounces
Answers
Hey there!
ANSWER:16
Expression: 1 * 16 = 16
EXPLANATION:1 pint = ? fluid ounces
If you want to find out how many fluid ounces 1 pint is, let's see how many each pint is.
1 pint = 16 fluid ounces.
1 * 16 = 16 fluid ounces(expression)
Answer: 16 fluid ounces and expression is 1 * 16 = 16.
Hope this helps!
\(\text {-TestedHyperr}\)
PLS HELP 50 POINTS!!!
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
If each above ground level floor corresponds with its floor number on the number line, what number on the number line represents Parking A? [Type your answer as a number.]
Answers
Answer:
-1
Step-by-step explanation:
Assuming "ground level" is 0, then the one below it (parking level A) would be -1.
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Answers
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
Find the height in centimeters of a square pyramid with a volume of 296 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
Answers
Answer:
9.61cm
Step-by-step explanation:
Let height be x thus length will also be x
since the base is a square the width and length are also equal.
volume of pyramid=length×width×height
3
296cm³=x×x×x
3
296×3=x³
888=x³
x= cube root of 888
x=9.61cm
Can someone do these two for me please?
Answers
Answer:
3) 2
4) Water's Edge Rafts
Step-by-step explanation:
3) Rate of change is nothing but the slope
Slope formula : y2 - y1 / x2 - x1
13 - 11 / 2 - 1
2/1
2
Rate of change = 2
4) Rate of change : y2 - y1 / x2 - x1
Water's Edge Rafts
36 - 6 / 6 - 1
30/5
6
Water's Edge Rafts' Rate of change = 6
Ryan's Rafts
17.25 - 15.00 / 2 - 1
2.25/1
2.25
Ryan's Rafts' Rate of change = 2.25
6>2.25
So, Water's Edge Rafts' has the highest rate of change
Answer:
2 for # 3
2.25 for # 4
Step-by-step explanation:
15-11/3-1
=2
(19.50-15)/(3-1)
2.25
7. Susan has $21, and she has three times as much money as Diego. Write an equation for this
situation, and find how much money Diego has.
Answers
Answer:
Diego has 7
Step-by-step explanation:
So if Susan has 21 and she has 3 times as much money as Diego the equation is 21 divided by 3. 21 divided by 3 is 3 groups of 7 so the answer is 7
Answer:
Ok if Susan has $21 and She has 3 times as much money as Diego.
That means the equation is 21 divide by 3.
So that means Diego has $7.
Step-by-step explanation:
Write in terms of confunction of a complementary angle:tan 26°
Answers
ANSWER
The cofunction of tan 36 degrees is cot 54 degrees
STEP-BY-STEP EXPLANATION
Given information
\(\text{tan 26}\degree\)Co function of tan can be written below as
\(\begin{gathered} \tan \text{ }(A)\text{ = cot (B)} \\ \text{if, A + B = 90} \end{gathered}\)\(\begin{gathered} \text{tan 36 = cot (90 - 36)} \\ \tan \text{ 36 = cot 54} \end{gathered}\)Therefore,
tan 36 = 0.7265
cot 54 = 0.7265
Hence, the cofunction of tan 36 is cot 54
What is the product? Enter your answer as a fraction, in simplified form, in the box. 38⋅(−36)
Answers
Answer:
-1368
Step-by-step explanation:
To estimate the number of bass in a lake, a biologist catches and tags 32 bass. Several weeks later, the biologist catches a new sample of 55 bass and finds that 5 are tagged. How many bass are in the lake.
Answers
Solve the inequality graphically.
3-* > 6*
a. x < 1
b.X>1
C.X>0
d. x <0
Answers
Answer:
Simplify the expression.
−
729
Step-by-step explanation:
your wlecome
A coin flipped 10 times and the results is recorded. What is the probability of getting at least 8 tails ?
Answers
Answer: 0.0546875
Step-by-step explanation:
The number of times the coin landing head 8 out of 10 is simply:
C(10, 8)/2^10. At least 8 means, 8 or more. Since the events here are dependent on themselves the answer would be:
[ C(10, 8) + C(10, 9) + C(10, 10) ] / 2^10 = 56/1024 = 0.0546875
helpppp ASAP.
1. What is the height of the cone? Explain how you found the height. (4 points)
2. Now that you have the height of the cone, how can you solve for the slant height, s? (3 points)
3. How far does the ant crawl to get from the base of the cone to the top of the hill? Show your work. (3 points)
Answers
1. The height of the cone is, 22.18 mm.
2. The slant height is, 28.14 mm.
3. The ant crawl to get from the base of the cone to the top of the hill is, 28.14 mm.
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.
The volume of cone V = (1/3)πr²h
Given that,
The volume = 8792 mm³
1. by using the formula to solve for h,
we get h = (3V)/(πr²).
Plugging in the values given,
we have h = (3(8792 mm³))/(π(20 mm)²) ≈ 22.18 mm.
Therefore, the height of the cone is approximately 22.18 mm.
2. it is known that, from the Pythagoras theorem
s² = h² + r²,
where s is the slant height, h is the height, and r is the radius.
Plugging in the values we found in part 1,
we have s² = (22.18 mm)² + (20 mm)² ≈ 791.88 mm².
Taking the square root of both sides, we get s ≈ 28.14 mm.
Therefore, the slant height is approximately 28.14 mm.
3. To find the distance the ant crawls to get from the base of the cone to the top of the hill, we need to find the length of the slant height.
Using the value we found in part 2,
the length of the slant height is approximately 28.14 mm.
Therefore, that is the distance the ant would crawl to get from the base of the cone to the top of the hill.
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A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answers
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
Suppose that you are taking a course that has 4 tests. The first three tests are each worth 20% of your final grade, and the fourth test is worth 40% of the final grade. To get a B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 63.5 %, 76 %, and 87 %. What is the minimum score you need on the fourth test to get a B for the course?. Don't round your answer.
Answers
Answer:
86.75
Step-by-step explanation:
Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.
Course gradeThe grade for the course, with fourth test score x, will be ...
0.20(63.5 +76 +87) +0.40x = 80
0.40x +45.3 = 80
Solving for x, we get ...
0.40x = 34.7 . . . . subtract 45.3
x = 86.75 . . . . . . . divide by 0.4
The minimum score you need on the fourth test is 86.75.
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A school newspaper reporter decides to randomly survey 13 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 23% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. Part (a) Part (b) List the values that X may take on. O X =0, 1, 2..... 23 x = 1, 2, 3....23 x = 1, 2, 3....13 OX0.1.2..... 13 OO Part (c) Give the distribution of X. X-OX (0:0) Part (d) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) Part (0) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
Answers
The probability that more than 2 students will attend is 0.9179.
Part (a) List the values that X may take on.
X may take on the values 0, 1, 2, 3, ..., 13.
Part (b) Give the distribution of X.
The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23
Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
We can expect 3 students to attend the festivities.
Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)
The probability that at most 3 students will attend is 0.6923.
Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
The probability that more than 2 students will attend is 0.9179.
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On friday there were x students at a baseball game. On monday there were half as many students than on friday on Wednesday, there were 32 fewer students at the game as there were on friday which expression could represent the total number of tickets sold for all 3 games
Answers
Answer:
1.5x - 32
Step-by-step explanation:
friday = x
0.5x = monday
and
x-32 = friday
in total
1.5x-32
HELP ME WITH THIS QUESTION PLZ!!
Answers
The Answer Is:
Choice 3
Answer:
Its C
Step-by-step explanation:
It Says in the graph the arrow point moves 2 points, which represent the hours then it stays the same in distance, however the hour point move 2 units, meaning 2 hours went by, then it moves one more unit up.
What is the measure of an inscribed angle that subtends the same arc as a central angle whose measure is 32 degrees?
Answers
no links Which value makes the equation true? □ + 0 . 34 = 2 . 34 A. 0.2 B. 0.66 C. 1.7 D. 2.0
Answers
Answer: D. 2.0
Step-by-step explanation:
potatoes cost $0.85 per pound. Luke bought 2.75 pounds of potatoes. How much did he pay for the potatoes? Round to the nearest cent.
I know the answer is 2.34 (approximately) but please explain how you get from 2.3375 to 2.34
Answers
Answer:
you round the .0075 up, getting 2.34
Step-by-step explanation:
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
Answers
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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simplify 13¹/3+2¹/3-10/2
Answers
The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.
Given
13¹/3+2¹/3-10/2
Required simplified it =?
First, we have simplified both constants separately
13¹/3 = (3 * 13 + 1) / 3 = 40/3
2¹/3 = (3 * 2 + 1) / 3 = 7/3
now the expression become = 40/3 + 7/3 - 10/2
now taking LCM of 3 and 2 which is 6.
= 80/6 + 14/6 - 30/6
now we have to simplify this fraction by dividing by 2 = 64/6
Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.
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The data below represents the number of runners on each cross country team in the Northern Conference.
\qquad12,15,15,17,19,19,20,22,2412,15,15,17,19,19,20,22,2412, comma, 15, comma, 15, comma, 17, comma, 19, comma, 19, comma, 20, comma, 22, comma, 24
Which box plot correctly summarizes the data?
Choose 1 answer:
Choose 1 answer:
Answers
Answer:
I think the answer is A
The correct box plot that represents the number of runners is option c.
What is the correct box plot?A box plot is used to study the distribution and level of a set of scores
The box plot consists of whiskers that represents the minimum and maximum value.
In the box, the line in the middle in the median, the first line to the left represents the lower (first) quartile and the third line on the box represents the upper (third) quartile.
Median = 19
First quartile = 1/4 x 10 = 2.5th term = 16
Third quartile = 3/4 x 10 = 7.5 term = 21
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Classify ∠1 and ∠2 using all names that apply
Answers
Step-by-step explanation:
complementry
since the angle 1 and 2 both measures 90⁰
Answer: Choice 2 Adjacent and Choice 4 Supplementary
Step-by-step explanation:
Here, we are given four choices, and I will be defining each of them.
Vertical angles: two angles that are opposite to each other which was formed by two intersecting lines.Adjacent angles: two angles that share one common vertex and "arm"Complementary angles: two angles that add up to 90°Supplementary angles: two angles that add up to 180°-----------------------------------------------------------------------------------------------
We can see from the figure given
Both angles are 90°, so ∠1+∠2=90+90=180°
Which is supplementary.
We can see from the figure given
Both angles share a common arm and vertex
Which is adjacent
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