Answer:
Students= 6
Teachers= 2
Step-by-step explanation:
Given: Art museum trip:
Cost of ticket= $5.5 per teacher and $3 per student.
Total amount paid= $29.
Science trip:
Cost of ticket= $22 per teacher and $11.5 per student.
Total amount paid= $113.
Lets assume number of teacher be "x" and number of students be "y".
Now, forming an equation for cost of each trip.
we know, total cost= [tex]cost\ of \ each\ ticket \times numbers\ of\ tickets[/tex]
∴Art museum trip, [tex]5.5x+3y= 29[/tex] ---- 1st equation
Science museum trip, [tex]22x+11.5y= 113[/tex] ---- 2nd equation
Next using elimination method to find number teacher and students
[tex]5.5x+3y= 29\\22x+11.5y= 113[/tex]
Multiplying both side of 1st equation by 4
∴ [tex]22x+12y= 116\\22x+11.5y= 113[/tex]
changing sign of 2nd equation on both side and solving it.
∴ [tex]0.5y= 3[/tex]
Dividing both side by 0.5
[tex]y= \frac{3}{0.5}= 6[/tex]
Hence, number of students on field trip was 6.
Subtituting the value of y in 1st equation to find the number of teachers in field trip.
[tex]5.5x+3y= 29[/tex]
⇒ [tex]5.5x+3\times 6= 29[/tex]
⇒ [tex]5.5x+18= 29[/tex]
Subtracting both side by 18
⇒ [tex]5.5x= 11[/tex]
Dividing both side by 5.5
⇒ [tex]x= \frac{11}{5.5}= 2[/tex]
Hence, there were 2 teachers on field trips.
The maximum value of y=√(x+2)-1 on the interval [-2 ,2]
Answer:
1
Step-by-step explanation:
The square root function is monotonically increasing, so will have a maximum at the right end of any interval. Here the maximum is at x=2. That value is ...
y = √(2+2) -1 = 2 -1 = 1
The maximum value on the interval is 1.
A flying disc has a radius of
7inches. What is the area of one side of the flying disc to the nearest square inch? Use
3.14 as an approximation for pi
A.615 square inches
B. 38 square inches
C.154 square inches
D.44 square inches
The required area of the flying disc is 154 square inches.
A flying dis has radius of 7 inches. Area of the disc to be determine.
Area of circle is given by the pie times square of radius.
Area of circle = πr^2
= 3.14 * 7 *7
= 154 square inches
Thus, the required area of the flying disc is 154 square inches.
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In Triangle F G H, what is the measure of Angle H?
Triangle F G H. Angle F is 43 degrees, angle G is x degrees, angle H is (x minus 1) degrees.
42 degrees
43 degrees
68 degrees
69 degrees
Answer: 68
Answer:
69°
Step-by-step explanation:
The three interior angles in a triangle will always add up to 180°, so we have:
43°+x+(x-1)=180°
43°+2x-1°=180°
2x=180°-43°+1°
2x=138°
x=69°
Answer:
69 degrees
Step-by-step explanation:
PLEASE BE QUICK!!
What is the area of the triangle? On a coordinate plane, a triangle has a base of 8 units and a height of 6 units.
Answer:
Therefore the Area of Triangle is 24 units².
Step-by-step explanation:
On a Co-ordinate plane
A Triangle having
Base = 8 units
Height = 6 units
To Find:
Area of Triangle = ?
Solution:
When Base and Height is given , then Area of triangle is given by
[tex]\textrm{Area of Triangle} = \dfrac{1}{2}\times Base\times Height[/tex]
Substituting the values we get
[tex]\textrm{Area of Triangle} = \dfrac{1}{2}\times 8\times 6=24\ units^{2}[/tex]
Therefore the Area of Triangle is 24 units².
Answer: 24
Step-by-step explanation:
base is 8
height is 6
3(x+2)=−5−2(x−3)
x = ___
(type your answer as a number, "no solution" or "infinite solutions")
Answer:
x = -1
Step-by-step explanation:
3(x+2)=−5−2(x−3) multiply 3 and -2 with inside the parenthesis
3x + 6 = -5 -2x + 6 now add the like terms
3x + 2x = 1 - 6
5x = -5 simplify both sides
x = -1
The store bought a pair of shoes for $50, and sold it for $80.What percentage was the mark up
The markup percentage on the shoes that were bought for $50 and sold for $80 is 60%.
To calculate the markup percentage, you subtract the original cost from the selling price and then divide that number by the original cost. Finally, you multiply the result by 100 to get the percentage.
The formula looks like this: ((Selling Price - Original Cost) / Original Cost)× 100. Let's apply this formula to your question.
The store bought the shoes for $50 and sold them for $80. So the markup in dollars is
$80 - $50 = $30
Now, let's convert this to a percentage:
Markup Percentage =
[tex]= \frac{80-50}{50} \times 100 \\\\= \frac{30}{50} \times100\\\\ = 60\%[/tex]
The markup percentage is 60%.
Andy cut a tuna and a chicken sandwich into a total of 18 pieces. He cut the tune into 12 more pieces than the chicken. Andy are 5 pieces of the tuna. What fraction of the tuna did he eat?
The fraction is 5/15, which simplifies to 1/3. So Andy ate one third of the tuna sandwich.
The student's question involves determining the fraction of the tuna sandwich that Andy ate. Andy cut a tuna sandwich into 12 more pieces than the chicken sandwich and the total number of pieces was 18. Since tuna has 12 more pieces, we let the number of chicken pieces be x. Hence, the tuna pieces would be x + 12. The equation then is x + (x + 12) = 18. Solving this, we get x = 3 (chicken pieces) and x + 12 = 15 (tuna pieces).
Andy ate 5 pieces of the tuna sandwich, so the fraction of the tuna he ate is 5 out of the total tuna pieces, which is 15. Therefore, the fraction is 5/15, which simplifies to 1/3. So Andy ate one third of the tuna sandwich.
No explanation needed, A,B,C, or D?
Answer:
B I think
Step-by-step explanation:
change the decimal to a fraction and reduce .62
Answer:
31/50
Step-by-step explanation:
0.62 = 62/100 = 31/50
write ratios for sin C, cos C, and tan C
Answer:
I got u
Step-by-step explanation:
sin C = 7/25 or 0.28
cos C = 24/25 or 0.96
tan C = 7/24 or about 0.292
lmk if u want me to explain how trigonometric functions work
The ratios for sin C, cos C, and tan C in a right triangle are y/h, x/h, and y/x respectively, where y is the opposite side, x is the adjacent side, and h is the hypotenuse.
Explanation:To write ratios for sin C, cos C, and tan C in a right triangle, you need to refer to the lengths of the sides of the triangle relative to angle C. If we denote the opposite side to angle C as y, the adjacent side as x, and the hypotenuse as h, the ratios are defined as follows:
sin C = opposite/hypotenuse = y/hcos C = adjacent/hypotenuse = x/htan C = opposite/adjacent = y/xIn a practical scenario, if you know the magnitude of one side and the direction angle, you can use these ratios to find the scalar components of a vector in a coordinate system, solve problems involving the Law of Sines and Law of Cosines, or analyze wave functions in physics. For example, the Law of Sines relates the lengths of the sides of a triangle to the sines of its angles as follows:
a/sin A = b/sin B = c/sin C
Where a, b, and c are the sides of the triangle opposite to angles A, B, and C, respectively.
help pls thanks you
how many integers from 1 to 1 million dont have common factors with 2020
If x/9 is equivalent to 0.5 segment, what is the value of x?
Answer:
X=4.5
Step-by-step explanation:
9 x 0.5 = 4.5
You can even test it. 4.5/9 does in fact, equal 0.5
what is -22 = -9 +n
Answer:
If you are looking for n then
N = -13
Step-by-step explanation:
-13+-9 is -22
Answer
n= -13
-22 = -9 + n
first flip the equation
n + -9 = -22
then add 9
so -22 + -9 = - 13
so n = -13
Which statement describes the behavior of the function f (x) = 3x/4-x
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.
Answer:
A. The graph approaches –3 as x approaches infinity.
Step-by-step explanation:
when looking at the problem F (x) + 3x/x-4 the answer would lead up to..
Finding the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain:
( − ∞ , 4 ) ∪ ( 4 , ∞ ) , { x | x ≠ 4 }
Range: ( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) , { y | y ≠ -3 }
are what it leads to and seeing the range -3 would have x as infinite/ -∞
so A is the correct option to me
The statement that describes the behavior of the function f(x) = 3x/4-x is The graph approaches 0 as x approaches infinity.
Option B is the correct option.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The statement "The graph approaches 0 as x approaches infinity" is the correct statement that describes the behavior of the function f(x) = 3x/(4-x).
We can use the limit definition of approaching infinity.
When x becomes very large (positive or negative), the term 4 - x in the denominator becomes very small, approaching zero.
As a result,
The fraction 3x/(4-x) approaches zero as x approaches infinity.
This can be confirmed using L'Hopital's rule, which gives the limit of the function as 0/1, or simply by observing the graph of the function.
Thus,
The graph approaches 0 as x approaches infinity.
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Addie saved more than $36. Which inequality represents the amount she saved
Answer:
S>36
where S is saving
what does 3 over 4 times 2 equal?
Answer: 1.5
Da maths: Bruh ask google
Which statement describes the graph of the system of equations below? 1.5x+0.2y=2.68
1.6+0.3y=2.98
Answer:
( 1.17 3 , 4.6 )
Step-by-step explanation:
Write the expression in simplest form. h+6h
Answer:
h has a coefficient 1 so u will afd 6h +h=7h
2/3x - 4 = 20
How do I solve this?
Answer:
x=20
Step-by-step explanation:
Answer is in the picture
PLEASE Give me BRAINLIEST
What is the inverse of the function g(x) = -3(x+6)?
Answer:
g-1(x) = -x/3 - 6.
Step-by-step explanation:
Let g(x) = y = -3(x + 6)
y = -3x - 18
3x = - y - 18
x = -y/3 - 6
Now replace x by the inverse g-1(x) and y by x, so
g-1(x) = -x/3 - 6.
What is the sum of 2x^2 and 2x^3
For this case we have the following expression:
[tex]2x ^ 2 + 2x ^ 3[/tex]
The terms are not similar, so they cannot be added.
Examples of similar terms:
[tex]x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4[/tex]
Then, the expression given can only be rewritten as:
[tex]2 (x ^ 2 + x ^ 3)[/tex]
This is taking common factor 2 to both terms.
Answer:
[tex]2 (x ^ 2 + x ^ 3)[/tex]
Using 6 as a denominator, what fraction completes the following equation: 1 − 1/3 = ? a. 3/6 c. 5/6 b. 4/6 d. 2/6
Answer:
the answer is c :)
Which of the following shapes is a convex polygon?
Answer:
Therefore the correct option is B.
Step-by-step explanation:
i) A convex polygon is a polygon which has all its interior angles as less than 180°.
ii) From visual inspection of all four options only option B seems to fulfill the criteria mentioned in i)
Therefore the correct option is B.
Answer:the answer is b
Step-by-step explanation:
I got it corrrect trust me
Choose the answer
Your classmate has made a list of the events she wants to include in her personal
narrative. Read these events. Then select the answer that displays the best sequence
for these events
• Luckily, I was able to see my director in the front row. She was mouthing the
words to my line
• I woke up.
• I was shaking as I walked up to the stage
• Inished the scene and received a standing ovation
• I forgot my line and froze,
• I was so nervous that I couldn't eat anything all day.
The best sequence for the events in the personal narrative would be: waking up, feeling nervous, walking up to the stage, forgetting the line, director helping with the line, and receiving a standing ovation.
Explanation:I woke up.I was so nervous that I couldn't eat anything all day.I was shaking as I walked up to the stage.I forgot my line and froze.Luckily, I was able to see my director in the front row. She was mouthing the words to my line.I finished the scene and received a standing ovation.Learn more about Sequencing events in a personal narrative here:https://brainly.com/question/32299550
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14. Find the value of the function:
If f(x) = 4x + 4x - 4, find f(0).
f(0) =
Answer:
f(0) = -4Step-by-step explanation:
[tex]f(x)=4x^2+4x-4\ or\ f^*(x)=4x+4x-4=8x-4\\\\f(0)-\text{put}\ x=0\ \text{to}\ f(x):\\\\f(0)=4(0)^2+4(0)-4=4(0)+0-4=0-4=-4\\\\f^*(0)=8(0)-4=0-4=-4[/tex]
Will make brainliest if answered correctly
These two boxes have the same volume.
Box A
Height: 2 in., Width: 3 in., Length: 6 in.
Box B
Height:3in., Width:4in., Length:?
What is the length of Box B?
A.2in
B.3in
C.4in
D.9in
Answer:
B
Step-by-step explanation:
Because they have same volume we have :
V(boxA)=2*3*6=36[tex]in^3[/tex]
V(boxB)=3*4*l=12l
V(boxA)=V(boxB)
So we have this equation :
36=12l
Divide by 12
l=3
a museum's gift shop had 280 animal shaped erasers . Each package had 8 erasers. how many packages are there
Answer:
35
Step-by-step explanation:
just due 280 divided by 8
What is 13.92 divided by 24 equal?
Answer:
0.58
Step-by-step explanation:
need help ASAP (linear / non-linear)
Answer:
linear
Step-by-step explanation:
It is linear because the line is straight.