u≤−1
hope this helps:)))
If you know the length of something in centimeters you can calculate it’s length in millimeters
Yes, 1 centimeter is equivalent to 10 millimeters
If a length is known in centimeters, it can be easily known in millimeters
Admission to a baseball game is $4.00 for general admission and $6.50 for reserved seats. The receipts were $4589.50 for 988 paid admissions. How many of each ticket were sold?
There were 733 general tickets sold and 255 reserved tickets.
How to calculate the values?Let the general admission = g
Let the reserved seats = r
Therefore, the appropriate equation will be:
g + r = 988
4g + 6.5r = 4589.50
From equation i r = 988 - g
4g + 6.5r = 4589.50
4g + 6.5(988 - g) = 4589.50
4g + 6422 - 6.5g = 4589.50
6.5g - 4g = 6422 - 4589.50
2.5g = 1832.50
g = 1832.50/2.5
g = 733
Since g + r = 988
r = 988 - 733
r = 255
Therefore, there were 733 general tickets sold and 255 reserved tickets.
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Q 32. If the length of the adjacent sides of a parallelogram is 16 cm and 30 cm, and the angle between them is 45°, then find
the area of the parallelogram.
Ops: A. 0240,2 sq.cm
B. 022542 sq.cm
C. 0270,2 sq.cm
D. 0180/2 sq.cm
Answer:
Option A
Step-by-step explanation:
When adjacent sides and angle between the adjacent sides are given, then,
\(\sf \boxed{\text{\bf Area of Parallelogram = a*b * $Sin \ \theta$}}\)
Here, a and b are the adjacent sides and \(\sf \theta\) is the angle between them.
a = 16 cm ; b = 30 cm ; \(\sf \theta = 45^\circ\)
Area of parallelogram = 16 * 30 * Sin 45
\(\sf = 16 * 30 * \dfrac{\sqrt{2}}{2}\\\\= 8*30*\sqrt{2}\\\\= 240\sqrt{2} \ sq.cm\)
Which of the following fractions is a repeating decimal? *
5/8
10/12
2/4
9/24
Answer:
10 /12
Step-by-step explanation:
10 divided by 12 is 0.8333333333 and so on
3.17Using substitution, identify the ordered pair that is an element of the solution set of thesystem of equations.3x + y = 2y-x= -6
Hello
To solve this question, we are asked to use substitution method.
The given equation is
\(\begin{gathered} 3x+y=2\ldots\text{equ(i)} \\ y-x=-6\ldots\text{equ(}ii) \end{gathered}\)From equation (ii), let's make y the subject of formula
\(\begin{gathered} y-x=-6 \\ y=x-6\ldots\text{equ(}iii) \end{gathered}\)Put equation (iii) into equation (i)
\(\begin{gathered} 3x+y=2 \\ y=x-6 \\ 3x+(x-6)=2 \\ 3x+x-6=2 \\ \text{collect like terms} \\ 4x=2+6 \\ 4x=8 \\ \text{divide both sides by the coefficient of x} \\ \frac{4x}{4}=\frac{8}{4} \\ x=2 \end{gathered}\)We have the value of one of the ordered pair and we can use it to find the other one.
Put x = 2 in either equation (i) or (ii)
Using equation (ii)
\(\begin{gathered} y-x=-6 \\ x=2 \\ y-(2)=-6 \\ \text{collect like terms} \\ y=-6+2 \\ y=-4 \end{gathered}\)The value of x and y is (2, -4) and the ordered pair can be written as (2, -4)
There were 44 dogs and cats at the pet store if 75% were cats how many cats were at the pets store?
Answer:
33.
Step-by-step explanation:
75% x
100 44
x = (44 * 75 ) / 100 = 33.
Please help!! Thank you
If Someone Has 2000 Bassball cards And I Have 1 tenth of the fraction as many How Many Cards do I have
Answer:
200
Step-by-step explanation:
percent of students with brown eys
Answer:
between 55 to 79 percent
The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.
A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.
Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.
4%
19%
33%
44%
The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.
The correct option to the given question is option d.
We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.
To find the joint relative frequency, we use the formula as follows:
Joint relative frequency = frequency of interest / total frequency
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96
(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)
Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375
Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).
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plsss help!!
Two friends Rohan and Sam started a business together. They decided to share their profit
based on their expenditure. The profit of the two partners together is given by the polynomial
6x
2 + 11x – 35, which is the product of their individual share factors.
On the basis of the above information, answer the following questions.
Q.11 The total profit, when x = 10 is
A 375 B 475 C 575 D 675
Q.12 The possible expressions for the individual share are
A 2x + 5, 3x - 7 B 3x – 5, 2x + 7 C 2x – 7, 3x + 5 D 2x – 5, 3x + 7
Q.13 The value of x, when their shares are equal is
A 12 B 10 C 8 D 6
Q.14 The sum of their shares is given by
A 5x - 2 B 5x + 2 C x - 2 D x + 12
Profit function is the difference between the revenue function, and the cost function
The polynomial that represents their share factor is given as:
\(P(x) = 6x^2 + 11 x - 35\)
Q1. The total profitThis means that we calculate P(10).
So, we have:
\(P(10) = 6(10)^2 + 11(10) - 35\)
\(P(10) = 675\)
Hence, the total profit when x = 10 is (d) 675
Q2. The possible expressionsWe have:
\(P(x) = 6x^2 + 11 x - 35\)
Factorize the above expression
\(P(x) = (2x + 7)(3x - 5)\)
Hence, the possible expressions for the individual shares are (b) 3x - 5 and 2x + 7
Q3. Equal sharesWhen their shares are equal, we have:
\(2x + 7 = 3x - 5\)
Collect like terms
\(3x - 2x = 7 + 5\)
\(x =12\)
Hence, the value of x when their shares are equal is (a) 12
Q4. The Sum of their sharesThe sum of their shares is represented as:
\(Sum = 2x + 7 +3x - 5\)
Collect like terms
\(Sum = 2x +3x + 7 - 5\)
\(Sum = 5x+ 2\)
Hence, the sum of their shares is (b) 5x + 2
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A cyclist rides her bike at a rate of 10 kilometers per hour what is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers l. Do not round your answers
Answer:
cyclist will travel 64 kilometres in 4 hours
Step-by-step explanation:
speed of cyclist = 10 miles per hour
given 1 mile is equal to 1.6 kilometres.
1*10 miles will be equal to 1.6*10 kilometres
thus , 10 mile is equal to 16 kilometres
using 16 km in place of 10 miles in 10 miles per hour
we have
speed of cyclist = 16 kilometres per hour
we know that distance = speed * time
speed is 16 kilometres per hour
time 4 hours
thus , distance = 16*4 kilometres= 64 kilometres.
cyclist will travel 64 kilometres in 4 hours.
(Hope this helps can I pls have brainlist (crown)☺️)
can someone please help me
Using trigonometric ratio, the value of tan V is √7 / 8
What is the value of tan VTo find the value of tan V, we have to use trigonometric ratio.
In the triangle, we have the opposite side and the hypothenuse. We can find the adjacent side using Pythagoras theorem.
Substituting the values into the formula;
w² = v² + x²
(√71)² = (√7)² + x²
71 = 7 + x²
x² = 71 - 7
x² = 64
x = √64
x = 8
The value of tan V;
tan V = opposite /adjacent
tan V = √7 / 8
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Hi, need help again on this other measuring volume question.
Which expression is equivalent to 2x4y3
Suppose the baker has 4 loves of bread and cuts the loves into halves. How many 1/2 pound loaves of bread would the baker have?
Answer:
y diles que yo me se tu pose favorita, que te hablo mal y que eso te U-U
Step-by-step explanation:
State the domain and range for the following relation. Then determine whether the relation represents a function.{(8,-7)}, (9,7), (10,-7),(11,-7)}
Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).
Domain: 8, 9, 10, 11
Range: -7, 7
A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.
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The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?
Answer:
1,264
Step-by-step explanation:
a = 1000(1.06)^4
a = 1,262.47696
1,264
All of the following must be true statements except:
m∠RPS = m∠WPR
m∠RPS + m∠SPU = 180
m∠SPT = m∠UPT
Answer: m Spt upt
Step-by-step explanation: big brain
PLEASE HELP FAST!! IT IS URGENT!!!
A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. The P-value for the test of the hypotheses, H0 p = 0.65 and H, p *0.65, is 0.29. What is the correct interpretation of this value?
A. Only 29% of households in this sample approve of starting school earlier.
B. Assuming 65% of households would support starting school earlier, there is a 0.29 probability of getting a sample proportion of 0.70 or more different from 0.65.
C. Assuming 65% or more households would support starting school earlier, there is a 0.29 probability of getting a sample proportion of 0.70 or more different from 0.65.
D.Assuming this sample was collected correctly, the probability of getting 70 households out of 100 that would support starting school earlier is 0.29 if 65% of households truly support starting school earlier.
Answer:
B
Step-by-step explanation:
Identify the volume of the pyramid.
21 in.
8 in.
7 in.
Answer
392in³
Step-by-step explanation:
Volume=base X height divided by 3 OR length X width X height divided by 3
length=8in
width=7in
height=21in
So, Volume = 8x7x21
1,176in³
Now divide by 392in³
Explain how you know that (3, 5) is not a solution to the given inequality by looking at the graph.
The reason that the point (3, 5) is not a solution to the given inequality is given below.
We are given that;
y > 2x + 1
Now,
The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.
If we have (3,5) as a point, we can see that it lies on the boundary line
y = 2x + 1.
Since the inequality is strict (y >), points on this line are not solutions to the inequality
Therefore, by the inequality the answer will be given above.
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Find the rate of change of f(x) = x² - 2x + 3 on [-1,2].
Answer:
-1.
Step-by-step explanation:
Rate of change = [ f(2) - f(-1)] / [2 - (-1)]
= [(2)^2 - 2(2) + 3) - ((-1)^2 - 2(-1) + 3] / 3
= ( 3 - 6)/3
= -1.
Daniel buys two apples for every five oranges. If you bought 12 apples, how many oranges dis he buy?
Answer:
30 oranges
Step-by-step explanation:
2 apples : 5 oranges
12 apples : 30 oranges
because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.
The variable x represents the number of
Answer:
the answer is 25 round tables and you will need 18.75 square tables
Step-by-step explanation:
IT is right trust me
Answer: The variable x represents the number of
✔ square tables
.
The variable y represents the number of
✔ round tables
.
If y = 9, find the value of x. The committee needs
✔ 12
square tables. explanation:
Pls help I’ll brainlest ASAP
Answer:
I called her two times, but she did not call back
Step-by-step explanation:
main clause, then subordinate clause(:
Answer:
I called her two times, but she did not call back.
2x^2=4+6x
Show your work please
Answer: x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2
Step-by-step explanation:
2x^2 = 4 + 6x
divide both sides by 2
x^2 = 2 + 3x
move expression to the left
x^2 - 2 - 3x = 0
reorder the terms
x^2 - 3x - 2 = 0
use the quadratic formula
x = - (-3) +- sqrt (-3)^2 - 4 x (-2) / 2 x 1
calculate
x = 3 +- sqrt 17 / 2
answer
x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2
What meaning of the statement this?
Note that the notation "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.
What is the explanation of this ?∪C : This represents the union (∪) of the sets in C.
{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.
It states that an element x belongs to the union of sets in C if and only if x belongs to at least one set S that is an element of the set C.
= ∪{ S:S ∈ C} : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.
In summary, the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.
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