Answer:
There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets
Step-by-step explanation:
Let x represent the number of reserved tickets, y represent the number of field level tickets and z represent the number of box seat tickets.
Given that 10 total tickets were bought for $370, hence this can be represented by the equation:
20x + 50y + 100z = 370 (1)
x + y + z = 10 (2)
Also there was twice as many reserved tickets as field-level tickets. This can be represented by the equation:
x = 2y
x - 2y = 0 (3)
solving equations 1, 2, and 3 simultaneously gives:
x = 6, y = 3 and z = 1
There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets
x^3 + 3x^2 + 16x + 48
Answer:
(x2 +16)⋅(x+3)
Step-by-step explanation:
How many solutions does the equation x^2 = 9 have? How do you know?
Answer:
I'm pretty sure it's 2
Step-by-step explanation:
x^2=9
Step 1: Take the square root.
x=±√9
x=3 or x=−3
Which equations are equal to A= 1/2bh?
Options: A. b= 2A/h
B. b= A/2h
C. h= (1/2) A/b
D. h= 2A/b
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
need help with number 2 please.
Answer:
a. intersecting
b. parallel
c. skew
d. intersecting
e. parallel
true or false? the opposite and adjacent sides stay the same no matter which angle you are looking at.
Answer:
true
Step-by-step explanation:
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
Is 5x+13 a equation or expression?
The price of dinner was $24.80. The sales tax was 8%. The server was given a 15% tip (calculated after tax was added). What was the total cost of the meal?
A
$5.70
B
$25.03
C
$30.50
D
$30.80
Answer:
D. $30.80
Step-by-step explanation:
8/100=0.08
0.08*24.80=1.984
1.984+24.80=26.78
15/100=0.15
0.15*26.78=4.017
4.017+26.78=30.80
Suppose that in 8 minutes, 32 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
4
Step-by-step explanation:
Answer:
8/32 =4 so 4 per min
Step-by-step explanation:
The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint: combine the 2 angles and set equal to 90
Angle A = 3x - 10
Angle B = x
Their angle sum = 90° ( complementary angles form 90° )
This can be written in an equation as =
= 3x - 10 + x = 90
= 3x + × + ( -10 ) = 90
= 4x + (-10) = 90
= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )
= 4x = 100
= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )
= x = 25
Angle A = 3x - 10
= 3 × 25 - 10
= 75 - 10
= Angle A = 65°
Angle B = x = 25°
Their sum = 65 + 25 = 90°
Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .
6-(666+987889879878)
Answer:
−987889880538
Step-by-step explanation:
Answer:
-987889880538
Step-by-step explanation:
ez
Please help im a bit confused
Answer:
200,000
80,000
9,000,000
10,000,000,000
What is the context of this question?
Step-by-step explanation:
Answer:
So standard form just means 200,000 written as like 200^ something(I think)
Step-by-step explanation:
Simplify: 3x-4(2x-6) + 9
Which statement are true based on the diagram? Select 2 options
Answer:
Points J, K and Q are collinear
and
There is only one line that can be drawn through points L and P
The true statements are:
Points J, K and Q are collinear.
And, there is only one line that can be drawn through points L and P.
What is collinear Points?
Collinear points are the points that lie on the same straight line or in a single line.
How many lines can pass through two given points?Only one straight line can pass through the two points.
According to the question
We have a diagram in which there are eight points and four lines.
From the given diagram we can see that points J, K and Q lie on the same straight line.
Therefore, points J, K and Q are collinear.
As we know that, only one straight line can pass through the two points.
Therefore, from two points L and P only one straight line can be drawn.
Hence, statements second and fifth are correct.
Find out more information about collinear points here:
https://brainly.com/question/1593959
#SPJ2
For the following right triangle, find the side length x.
Answer: 37
Step-by-step explanation:
Use A squared plus b squared equals c squared.
1. 35 squared is 1,225.
2. 12 squared is 144.
3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?
Well the square root of 1,369, that's 37.
which of the following is equivalent to (4x^2)^3
Answer:
x=3
x=−3
Step-by-step explanation:
A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.
Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)
so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..
Step-by-step explanation:
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
∠ Q = 75°
Step-by-step explanation:
Since PR and PQ are equal then the triangle is isosceles, thus
the base angles R andQ are congruent
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 15 + 2x + 15 = 180, that is
5x + 30 = 180 ( subtract 30 from both sides )
5x = 150 ( divide both sides by 5 )
x = 30
Thus
∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°
If you roll a standard number
cube 30 times, how many times
can you expect to roll a number
greater than 4
The area of a recalangle that is 8 feet long and 4 feet wide is
a 12 sq ft
b22 sq ft
c 32 sq ft
d 36 sq ft
Answer:
C is the answer! You're welcome
Answer:
C is your answer
Step-by-step explanation:
8 x 4 = 32 sq ft
Hope this helps! :)
Container I currently contain 4.6 gallons of water and is being filled at a rate of 1.2 gallons per minute. Container II currently has 54.6 gallons of water and is being drained at a rate of 0.8 gallons per minute. After how many minutes will both containers have the same amount of water?
Answer: After 25 minutes both containers will have the same amount of water.
Step-by-step explanation:
Let x = Number of minutes
y= Quantity of water
For container I, Quantity of water will be :
y = 4.6+ 1.2x
For container II, Quantity of water will be :
y = 54.6-0.8x
According to the question, we have
4.6+ 1.2x = 54.6-0.8x
Add 0.8x on both sides and subtract 4.6 on both sides , we get
1.2x+8x = 54.6-4.6
⇒ 2x = 50
Divide both sides by 2, we get
x= 25
So after 25 minutes both containers will have the same amount of water.
Step-by-step explanation:
(GIVING BRAINLIEST TO FIRST CORRECT ANSWER)
What is the equation, in slope intercept form, for the given graph?
Answer:
y=1/2x-1
Step-by-step explanation:
0,-1
2,0
0--1 si 1
2-0 is 2
1/2
at the beginning of grade 6 the number of advanced math to the number of regluar math students was 3:8 however after taking placement tests students were moved around chaning the ratio of the number of advanced math students to the number of regluar math students was 4:7 how many student students started in reglaur math and advanced math if there were 92 students in advanced math after the placement test. Please tell me how to do this on a tape diagram
Answer:
There were 69 students in advanced math and 184 students in regular math before the placement tests
Step-by-step explanation:
The correct question
At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the number of advanced math students to the number of regular math students to 4:7. How many students started in regular math and advanced math if there were 92 students in advanced math after the placement tests?
Let
x ----> the number of advanced math students
y ----> the number of regular math students
we know that
At the beginning of grade 6
----> equation A
After taking placement tests
----> equation B
----> equation C
Remember that
The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests
step 1
Find out the total number of students after taking placement tests
we have
----> equation B
----> equation C
substitute the value of x in equation B and solve for y
The total number of students after taking placement tests is
step 2
Find out how many students started in regular math and advanced math
we have that
At the beginning of grade 6
----> equation A
-----> equation D
Solve the system of equations by graphing
The solution is the intersection point both graphs
using a graphing tool
The solution is the point (69,184)
see the attached figure
therefore
There were 69 students in advanced math and 184 students in regular math before the placement tests
Answer:
:o
Step-by-step explanation:
Which expression is equivalent to-80? O-45 O-4/5 O 45 O 45
-4v5i
Step-by-step explanation:
Rectangle ABCD is similar to Rectangle WXYZ . The area of ABCD is 30 square inches. Explain how to find the area, x , of WXYZ. AD/WZ = 1/2 AB/WX = 1/2 Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (__/__) to the second power. To find the area, solve the proportion 30/x = __/__ to get x = ___.
Answer:
120 square inches
Step-by-step explanation:
From the above question, we are told that:
Rectangle ABCD is similar to Rectangle WXYZ .
The area of ABCD is 30 square inches.
We are also given the ratio of their side length = 1/2
To the find the area of the second rectangle, the scale factor = k² is required where:
k = ratio of the side lengths
Let us represent the area of the.secind Rectangle as = x
Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (1/2 ) to the second power.
Hence
30/x = k²
30/x = (1/2)²
30/x = 1/4
We cross Multiply
= 30 × 4 = x
x = 120 square inches.
Therefore, the area of Rectangle WXYZ is 120 square inches.
Which statement about the lines below is true? 4y=-16 and 3x=27
Answer:
4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer
Step-by-step explanation:
A boy's mark for a test is 18 out of a total of 30 marks. If the
test had been marked out of 40 what would the boy's mark have
been?
Please help me, with explanation. Thank you<3
Answer:
It would be 18/40 and his grade would be a 45%
Answer:
24
Step-by-step explanation:
18/30×40=24
Which expressions are equivalent to 5 the power of 18
Answer:
3.8146973e+12
Step-by-step explanation:
you have to do 5x5 18 times to get this answer.
Answer:
The two on the top
Which one?
A. B. C. or D?
The answer is to the question is c.11