Answer:
square root of 5 - 4
Step-by-step explanation:
Answer:
square root of 5 +4
A total of 937 people attend the play. Admission was $2.00 for adults and $0.75 for students. The totral ticket sales amounted to $1,109. How many students and adults attended the school play? - Applying Linear Systems in the Real World
Answer:
x = students
y = adults
Linear Systems of Equations :
x + y = 937
0.75x + 2y = 1,109
Step-by-step explanation:
Step 1 : eliminate one of the variables
x + y = 937
0.75x + 2y = 1,109
-2(x + y = 937) = -2x - 2y = -1874
-2x - 2y = -1874
0.75x + 2y = 1109
We can eliminate y since -2y + 2y = 0
Step 2: Find x number of students.
-2x = -1874
+0.75x = 1109
____________
-1.25x = -765
____________ = 612 students attended
-1.25
937 - 612 = 325 adults
Check Answer :
612 x 0.75 = $459
325 x 2 = $650
$650 + $459 = $1,109
Therefore, there will be 612 students attending and 325 adults.
anyone know how to do this??
Answer:
csc²(x)
Step-by-step explanation:
csc(x) = 1/sin(x)
sin²(x) + cos²(x) = 1
=> cos²(x) = 1 - sin²(x)
cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =
= 1 - 2×sin²(x)
=> 2×sin²(x) = 1 - cos(2x)
sin²(x) = 1/2×(1-cos(2x))
=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)
=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =
= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)
If a salon charges rupees 99 for a haircut, how much money did the salon earn over the week?
Answer:
5940 rupees
Step-by-step explanation:
99 multiplied by 29×5 is 5940
Answer:
[tex]\text{(b) }[/tex] ₹[tex]5,940[/tex]
Step-by-step explanation:
Each pair of scissors on the chart represents 5 haircuts, as indicated by the key. There are 2 scissors on Saturday and 10 scissors on Sunday, hence a total of 12 scissors over the weekend. Therefore, there were [tex]12\cdot 5=60[/tex] haircuts over the weekend.
Since the salon charges 99 rupees per cut, they made a total of [tex]99\cdot 60=\boxed{5,940}[/tex] rupees over the weekend.
In the diagram below, AJKL is an equilateral triangle and KM I JL.
к
3
2
Which statement must be true?
O A. JK = KM
B. AJKM is a 30-60-90 triangle.
O C. KM = 2 .JM
D. AJKM is a 45-45-90 triangle.
Answer : B
Step-by-step explanation:
Ape
The statement which is true is KM = 2 .JM, the correct option is C.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that;
AJKL is an equilateral triangle
Now,
Using these properties, we can eliminate some of the options.
Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.
Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.
Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.
Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:
KM^2 = AK^2 - AM^2
KM^2 = (AK/2)^2 - (AL/4)^2
KM^2 = (AK/4)^2 + (AL/4)^2
KM^2 = ((AK + AL)/4)^2
Since AK + AL = 2 * JL,
KM^2 = (JL/4)^2 * 4
KM^2 = (JL/4)^2 * 4
KM = JL/4 * 2
KM = JL/2
Therefore, the answer of the triangle will be KM = 2 * JM.
Learn more about a right triangle;
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Cho số phức z , w thỏa mãn |z-3-i | = 1 và | w-1 | = |w+i |. Giá trị nhỏ nhất của P = | w+1 - 3i | + | w -z | bằng?
Express each ratio as a fraction in simplest form.
5 miles to 35 miles
Answer:
1 : 7
Step-by-step explanation:
Given
5 miles : 35 miles ( divide both parts by 5 )
= 1 : 7 ← in simplest form
whats the factor:81x3-3000
aikskdjjsiwwjjjwjwkkwkwkwkwkwkwkwkwkw
Answer:
3(3x - 10)(9x² + 30x + 100)
Step-by-step explanation:
Given
81x³ - 3000 ← factor out 3 from each term
= 3(27x³ - 1000 )← a difference of cubes which factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
27x³ - 1000
= (3x)³ - 10³
= (3x - 10)((3x)² + (3x)(10) + 10²)
= (3x - 10)(9x² + 30x + 100)
Then
81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form
What is the coefficient in the expression 5x2 +3 ?
O
A. 2
O
B. 3
O
C. 5
O
D. x
Answer:
C: 5
Step-by-step explanation:
Here the variable x shows up specifically only once, with coefficient 5:
5x^2 + 3
This actually represents 5x^2 + 0x + 3.
The coefficient of the explicily-given x-term is 5. The other coefficients are 0 and 3.
help y’all
What are the diferences between volume & area?
Find the distance between (1, 3) and (5, 6)
a) 3
b) 4
c) 5
d) 6
A rhombus is cut along the diagonals to make four triangles.
Which three statements are correct for any rhombus.
A: All four triangles are isosceles.
B: All four triangles are congruent.
C: All four triangles are right-angled.
D: Perimeter of rhombus = 4 times the perimeter of one triangle.
E; Area of rhombus = 4 times the area of one triangle.
Answer:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
Step-by-step explanation:
A rhombus is a quadrilateral with equal length of sides. It stands on one of its edges, and a simple example is the shape of a diamond. It has two diagonals which bisect the angles of the rhombus.
When a rhombus is cut along its diagonals, the following properties of the shape formed can be observed:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5.15 ft at midnight, rises to a
high of 10.2 ft falls to a low of 0.1 ft, and then rises to 5.15 ft by the next midnight
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the
situation?
Enter your answer in the box
Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
Line l has a slope of the line through which of the following pair of points is perpendicular to l?
A. (2, 6), (4,2)
B. (0,4), (2, 2)
C. (6,9), (4,5)
D. (6,4), (2,2)
Answer:
Step-by-step explanation:
I think its A
decide which point lies on the line that is parallel to AB and passes through point P
use the function below to find f(3)
[tex]f(x) = \frac{1}{3} \times {4}^{x} [/tex]
Answer:
f(3) = [tex]\frac{64}{3}[/tex]
Step-by-step explanation
f(3) = [tex]\frac{1}{3}[/tex] x [tex]4^{3}[/tex]
f(3) = [tex]\frac{1}{3}[/tex] x 64
f(3) = [tex]\frac{64}{3}[/tex]
what number am i thinking of?
a. 21
b. 9
c. 69
d. 7
If ∠2 = 82°, then ∠7= ?
look at image
Answer:82
Step-by-step explanation:
Answer:
∠ 7 = 82°
Step-by-step explanation:
∠ 2 and ∠ 7 are Alternate exterior angles and are congruent, then
∠ 7 = ∠ 2 = 82°
What is a lifetime cap?
Answer: A limit on how much an ARM's interest rate can change over the
life of a mortgage
Step-by-step explanation: took the quiz.
find the value of 525²-475² using suitable identity
Answer to this question:
I think the answer is 3
The graphs below have the same shape. What is the equation of the blue graph ?
Answer:
A G(x) = (x - 5)²
Step-by-step explanation:
Plug in x = 5 into the given choices
only G(x) = (x - 5)² correctly returns G(5) = 0
PLZZZ HELPP.
Given the following matrices, what is the correct product matrix CD?
А. [21 10]
B. The matrix is undefined.
C. [29 53]
D. [53 29]
Answer:
D
Step-by-step explanation:
you will be multiplying Matrix C with Matrix D so, after using the rule for multiplication of matrices
[ 5x2 +9x4 + 7x1 5x(-4) + 9x0 + 7x7]
[ 10 + 36 + 7 -20 + 0 + 49 ]
[ 53 29]
hope this helps.
Brainly is an awesome app, but there is an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from tutors.
The product of matrices C and D is [53 29]. Therefore, option D is the correct answer.
What is the product of two matrix?The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.
Given that, C=[5 9 7] and D= [tex]\left[\begin{array}{ccc}2&-4\\4&0\\1&7\end{array}\right][/tex]
Here, CD = [5×2+9×4+7×1 5×(-4)+9×0+7×7]
= [10+36+7 -20+49]
= [53 29]
Therefore, option D is the correct answer.
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1. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games.
Answer:
Both sports = 15
Step-by-step explanation:
Remark
What an interesting question. At first I didn't think it was possible. Then I saw the word only. That made all the difference in the world.
Givens
Football only = 35
Volleyball only = 15
Ratio = 5/3
Equation
Let the number of students who play both = x
Volleyball / Football = (x + 15) /(x + 35) = 3/5
Solution
(x + 15) / (x + 35) = 3/5 Cross multiply
5*(x + 15) = 3(x + 35) Remove the brackets
5x + 75 = 3x + 105 Subtract 3x from both sides
3x 3x
2x + 75 = 105 Subtract 75 from both sides
- 75 -75
2x = 30 Divide by 2
2x/2 = 30/2
x = 15
15 people play both sports.
This afternoon Greta left school, rode the bus 7/12 of a mile, and then walked 1/3 of a mile to get home. How much farther did Greta ride than walk?
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
24 yd
30 yd
35 yd
16 yd
18 yd
38 yd
Answer:
The length of the missing side is 18yd
Step-by-step explanation:
Sq30 - Sq 24 = Sq (x)
Maya buys candy that costs $8 per pound. She will buy less than 7 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Maya will spend on candy. Write your answer as an inequality solved for c.
Answer:
c < 56
Step-by-step explanation:
Maya buys candy that costs $8 per pound. She will buy less than 7 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Maya will spend on candy. Write your answer as an inequality solved for c.
c < 7 × $8
c < $56
please help me, tysm
The table shows marks for 40 students obtained in the test. Use the given information to determine the mode,median and mean of the data probability that a student selected at random will would have obtain a mark greater than 5
Marks. Frequency
1. 3
2. 5
3. 6
4. 9
5. 5
6. 2
7. 6
8. 4
Answer:
mode=4 cos it occurred 9times
median=11122222333333444444444455555667777778888
=4 and 4= 4
mean= sum fx/sum f
Given g(x) = |2x + 1), find the values of x if g(x)=5
Answer: 11
Step-by-step explanation:
g(x)=(2x+1)
g(x)=5
g(5)=2(5)+1
=10+1
g(5) =11
Find m
Please and thank you.
Answer:
43
Step-by-step explanation:
We have to find angle CXY
So,
YE/EX=DY/CX
Therefore XY//CD [Theorem]
Angle D =Angle Y [Corresponding Angles]
Angle E + Angle Y +Angle X=180
Angle X=180-(Angle E + Angle Y)
Angle X=180-(89+48)
Angle X=180-137
Angle X=43
Angle CXY=43 Degree
OPQR is a tetrahedron. Given that the area of its base is 12 m and its height is 4 m, find the , volume of the tetrahedron.
Answer:
[tex]16m^{3}[/tex]
Step-by-step explanation:
The volume of a tetrahedron shape is calculated by first multiplying the base area by 1/3. Then you multiply the product obtained by the height of the tetrahedron. This will give you the volume of the tetrahedron. For example, using the values provided, the volume would be the following...
(12 * 1/3) * 4 = x
4 * 4 = x
16 = x
Finally, we can see that the volume of the tetrahedron is [tex]16m^{3}[/tex]