Answer:
122 tickets were sold for adults and the rest is for children.
Step-by-step explanation:
The endpoints of CD are (-2,-4) and D (6,2). What are the coordinates of the midpoint of CD?
The midpoint of the line segment CD whose coordinates (-2,-4) and D (6,2) will be (2, -1).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoint of the segment CD is given as C(-2, -4) and D(6, 2). Then the mid-point of the line segment CD will be
(x, y) = [(-2 + 6) / 2, (-4 + 2) / 2]
(x, y) = (4/2, -2/2)
(x, y) = (2, -1)
The midpoint of the line segment CD whose coordinates (-2,-4) and D (6,2) will be (2, -1).
More about the Mid-point link is given below.
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Find the ratio of the speed of a cycle 15km per hour to the speed of scooter 30km per hour
Step-by-step explanation:
15:30
Divide by 5
3:6
1:2
Answer:
3:4
Step-by-step explanation:
speed of cycle=15 km pers
speed of scooter=30 km per s
Now,
Ratio of speed= distance travelled ÷time taken
= (15+30)÷60 (1 hour=60 min)
= 45÷60
= 3÷4
= 3:4
:: The answer is 3:4.
Blake practices the piano 420 minutes in 4 weeks. assuming he practices the same amount every week, how many minutes would he practice in 1 weeks?
Do all numbers have a prime factorization
Answer:
It depends on the numbers
Step-by-step explanation:
Give some examples
Lee won 30 tickets at the carnival. He then gave each of his friends 2 tickets. He has 4 tickets left. How many friends does Lee have?
Answer: 30-4=x 4+x=30 x=26
Step-by-step explanation: So he has 30 tickets and he gives 2 to each of his friends which means that lee has 26 friends with 4 tickets left over.
Line r is parallel to line t. Find m<5.
Answer:
B. 135
Step-by-step explanation:
According to corresponding angles answer is b
135 is congruent to angle 1 and angle 1 is congruent to angle 5
so if angle 1 is 135 then angle 5 is 135
Brainliest please
Hope this helps
Answer:
d.
Step-by-step explanation:
straight angle = 180 degress
135+45=180
find the 24th term of the arithmetic
sequence whose common difference is d=4
and whose first term is a1=1
what is the answer?
Answer:93
Step-by-step explanation:
Will the standard form of 8.5 × 10–3 be more or less than 1? Explain what effect the negative exponent has.
The value is less than 1 and the impact of the negative exponent is that it moves the decimal point to the left
What is standard form?Standard form can be defined as a mathematical way of writing large or too small numbers in a defined manner.
Given the standard form;
8.5 × 10–3
The negative exponent (-3) indicates an addition of three zeros ruled out from the start.
It could be written as;
0. 0085
This is 0. 9915 less than the value of 1
The impact of the negative value is that it moves the decimal point to the left.
Thus, the value is less than 1 and the impact of the negative exponent is that it moves the decimal point to the left
Learn more about standard form here:
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139 students choose to attend one of three after school activities: football, tennis or running.
There are 66 boys.
56 students choose football, of which 28 are girls.
54 students choose tennis.
18 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Select the correct answer.
A parabola has an x-intercept of -1, a y-intercept of -3, and a minimum of -4 at x = 1.
Which graph matches this description? ( in the screenshots)
Step-by-step explanation:
answer A should be correct
I need to graph y=−2.5, please help!?!
Answer:
Step-by-step explanation:
Which function has only one x-intercept at (-6, 0)?
O fx) =x(x -6)
O fx) = (x-6)(x -6)
O f() = (x+ 6)(x - 6)
O f)= (x+ 6)(x + 6)
Please help
Answer: O f)= (x+ 6)(x + 6)
Hope this helps :)
What is 2x-47+(4-1)?
Answer:
x = 280/17 = 16.471
Step-by-step explanation:
an island has three towns located at points with the coordinates a (15,3) b (25,10) and c (0,20) where the coordinates have units of Km the government wants to locate a toxic waste dump at a position as far as possible away from each town you may assume that this location is not on the edge of the island find the coordinates at the point where the toxic waste dump should be located
9514 1404 393
Answer:
(13.06, 16.41)
Step-by-step explanation:
Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.
The midpoint of AB is ...
(A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)
The midpoint of AC is ...
(A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)
__
The differences between points are ...
B -A = (25, 10) -(15, 3) = (10, 7)
C -A = (0, 20) -(15, 3) = (-15, 17)
Then the perpendicular bisector equations can be written as ...
bisector of AB ⇒ 10(x -20) +7(y -6.5) = 0
10x +7x -245.5 = 0
bisector of AC ⇒ -15(x -7.5) +17(y -11.5) = 0
-15x +17y -83 = 0
These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...
x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06
y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41
The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).
_____
Further detail regarding the solution
Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...
R -S = (∆x, ∆y)
The midpoint of segment RS can be called ...
(R +S)/2 = (h, k)
Then the line that is a perpendicular bisector of RS can be written as ...
∆x(x -h) +∆y(y -k) = 0
This is the form that is used above.
__
The "cross multiplication method" for solving a pair of general-form linear equations ...
ax +by +c = 0
dx +ey +g = 0
will give the solution as ...
1/(ae -db) = x/(bg -ec) = y/(cd -ga)
If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.
[tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]
What are the solutions of the quadratic equation?
3x? - 23x + 40 = 0
Could anybody help me with this i will cashapp u $5 if its right
Answer:
a. Correct
b. Incorrect
c. Correct
d. Incorrect
e. Incorrect
Step-by-step explanation:
b. Incorrect because negative hours do not make sense
d. 80 is achieved only with more than 3.89 hours of study, so 3.5 is not enough
e. No, the score is the dependent, it comes out of the formula.
(a) Work out the value of (16/81)^3/4
Answer: 8/27
Step-by-step explanation:
Just evaluate the equation.
Do it in this order: Parenthesis, Exponents, Multiply/Divide, Add/Subtract.
So:
16/81 = 16/81
16/81 To the Power of 3/4 = 0.2^0.75 = 8/27
4 ÷ (-6) =
please write the answer as a fraction
Answer:
[tex] \frac{ - 2}{3} [/tex]
Step-by-step explanation:
if it is right mark me brainliest
Find the length of the third side to the nearest tenth.
3
9
Answer:
8.5
Step-by-step explanation:
X^2 = 9^2 - 3^2
x^2 = 81 - 9
x^2 = 72
x = √72
x = 8.485
Samantha puts $800.00 into an account to use for school expenses. The account earns 11% interest, compounded annually. How much will be in the account after 10 years? Round your answer to the nearest cent.
Answer:
$2271.54
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Formula: [tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A is final amountP is principle amountr is raten is compoundt is time in yearsStep-by-step explanation:
Step 1: Define
P = 800.00
r = 0.11
n = 1
t = 10
Step 2: Find A
Substitute [Formula]: [tex]A=800(1+\frac{0.11}{1} )^{1(10)}[/tex]Divide/Multiply: [tex]A=800(1+0.11 )^{10}[/tex]Add: [tex]A=800(1.11 )^{10}[/tex]Exponents: [tex]A=800(2.83942)[/tex]Multiply: [tex]A=2271.54[/tex]7x + 2y + x + 10y=180
who is good at math?! IM GIVING BRAINLIEST! comment or answer on the question so we can talk cuz i need help!!
Answer:
Wheres the question then i'll help
Step-by-step explanation:
Between 7 and 8 o'clock, there were 56 vehicles in the zoo parking lot. There were 3 times as many vans as cars.
How many vans and how many cars were counted?
Answer:
14 cars, 42 vans
Step-by-step explanation:
can divide the total by 4, since the number of cars is just 3x the number of vans
x+3x=56
4x=56
56/4
14 cars times 3 plus the original 14
There are 14 cars times 3 plus the original 14.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given Between 7 and 8 o'clock, there were 56 vehicles in the zoo parking lot. There were 3 times as many vans as cars.
Then it can divide the total by 4, since the number of cars is just 3x the number of vans.
x+3x=56
4x=56
56/4
Therefore, there are 14 cars times 3 plus the original 14.
Learn more about the unitary method here;
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Help pls and thank you!!
Answer:
it's 8x
hope i could help :)
For their history project, students case to either write a report or give a presentation. Two fifth of the students wrote a report and 0.6 of the students gave a presentation. Dominic said that more students gave a presentation. Do you agree with Dominic? Use numbers and words to support your answer. *
Answer: Yes. Dominic is correct
Step-by-step explanation:
We are informed that Two fifth of the students wrote a report. This also means that (2/5 × 100) = 40% = 0.4 wrote a report and 0.6 of the students gave a presentation.
From the decimals gotten, we can see that 0.6 is more than 0.4. Therefore, more students gave a presentation. This implies that Dominic is correct.
In order to prove △ABC ≅ △DBC by SAS, what additional information must be given?
Two triangles are congruent if two pairs of corresponding angles and included sides are congruent.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
In order to prove △ABC ≅ △DBC by SAS. Then the additional information must be given will be
SAS: Two triangles are congruent if two pairs of corresponding sides and included angles are congruent.
More about the triangle link is given below.
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2. (05.02 LC) Which equation does the graph below represent? (5 polnts) 8 2 .2 O y = 2x Y = 2 x y = 2 + x
Answer:
b
Step-by-step explanation:
HELP ASAPPP!!!! Please dude
Answer:
A
Step-by-step explanation:
That's the only one that makes sense
Answer:
It's either A or C
Step-by-step explanation:
If CM=15, Find DC and DM
image ????? please attach image and try again
Can you help me I have no idea how to do this
Answer:
[tex](f + g)(x) = 7 - 6x[/tex] --- (1)
[tex](f - g)(x) = 6x - 1[/tex] -- (2)
[tex](f . g)(x) =4(5^x)[/tex] ---- (3)
[tex](f / g)(x) = \frac{4}{5^x}[/tex] ----- (4)
[tex](f + g)(x) = -7x-7[/tex] --- (5)
[tex](f - g)(x) = 9x+ 9[/tex] --- (6)
[tex](f . g)(x) = (-8)(x+1)^2[/tex] --- (7)
[tex](f / g)(x) = -\frac{1}{8}[/tex] ----- (8)
[tex]F(t) = \frac{9}{5}t^2 + 32[/tex] ---- (9)
[tex]T(t) = (t - 2)^2 - 4[/tex] --- (10)
Step-by-step explanation:
Given
[tex]f(x) = 3[/tex]
[tex]g(x) = 4 - 6x[/tex]
Solving (1): (f + g)(x)
[tex](f + g)(x) = f(x) + g(x)[/tex]
So, we have:
[tex](f + g)(x) = 3 + 4 - 6x[/tex]
[tex](f + g)(x) = 7 - 6x[/tex]
Solving (2): (f - g)(x)
[tex](f - g)(x) =f(x) - g(x)[/tex]
So, we have:
[tex](f - g)(x) =3 - (4 - 6x)[/tex]
[tex](f - g)(x) =3 - 4 + 6x[/tex]
[tex](f - g)(x) =-1 + 6x[/tex]
[tex](f - g)(x) = 6x - 1[/tex]
Given
[tex]f(x) = 4[/tex]
[tex]g(x) = 5^x[/tex]
Solving (3): (f . g)(x)
[tex](f . g)(x) =f(x) * g(x)[/tex]
So, we have:
[tex](f . g)(x) =4 * 5^x[/tex]
[tex](f . g)(x) =4(5^x)[/tex]
Solving (4): (f / g)(x)
[tex](f / g)(x) = \frac{f(x)}{g(x)}[/tex]
So, we have:
[tex](f / g)(x) = \frac{4}{5^x}[/tex]
Given
f(x) = x + 1
g(x) = -8 - 8x
Solving (5): (f + g)(x)
[tex](f + g)(x) = f(x) + g(x)[/tex]
So, we have:
[tex](f + g)(x) = x + 1 -8-8x[/tex]
Collect Like Terms
[tex](f + g)(x) = x -8x+ 1 -8[/tex]
[tex](f + g)(x) = -7x-7[/tex]
Solving (6): (f - g)(x)
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex](f - g)(x) = x + 1 -( -8-8x)[/tex]
[tex](f - g)(x) = x + 1 +8+8x[/tex]
Collect Like Terms
[tex](f - g)(x) = x +8x+ 1 +8[/tex]
[tex](f - g)(x) = 9x+ 9[/tex]
Solving (7): (f . g)(x)
[tex](f . g)(x) = f(x) . g(x)[/tex]
So, we have:
[tex](f . g)(x) = (x+1) . (-8 - 8x)[/tex]
Factorize
[tex](f . g)(x) = (x+1) .(-8) (1 + x)[/tex]
Rewrite as:
[tex](f . g)(x) = (x+1) .(-8) (x+1)[/tex]
[tex](f . g)(x) = (-8)(x+1) (x+1)[/tex]
[tex](f . g)(x) = (-8)(x+1)^2[/tex]
Solving (8): (f / g)(x)
[tex](f / g)(x) = \frac{f(x)}{g(x)}[/tex]
So, we have:
[tex](f / g)(x) = \frac{(x+1)}{(-8-8x)}[/tex]
Factorize
[tex](f / g)(x) = \frac{(x+1)}{-8(1+x)}[/tex]
[tex](f / g)(x) = \frac{1}{-8}[/tex]
[tex](f / g)(x) = -\frac{1}{8}[/tex]
Solving (9):
From the question, we have that:
[tex]F(c) = \frac{9}{5}c + 32[/tex]
[tex]C(t) = t^2[/tex]
Required
Determine function F in terms of c
The implication of this question is to solve for [tex]F(c(t))[/tex]
If [tex]F(c) = \frac{9}{5}c + 32[/tex] and [tex]C(t) = t^2[/tex],
Then
[tex]F(c(t)) = \frac{9}{5}*t^2 + 32[/tex]
[tex]F(c(t)) = \frac{9}{5}t^2 + 32[/tex]
This can be rewritten as:
[tex]F(t) = \frac{9}{5}t^2 + 32[/tex]
Solving (10):
[tex]T(h) = h^2 - 4[/tex]
[tex]h(t) = t - 2[/tex]
Required
Find [tex]T(h(t))[/tex]
If [tex]T(h) = h^2 - 4[/tex] and [tex]h(t) = t - 2[/tex], then
[tex]T(h(t)) = (t - 2)^2 - 4[/tex]
This is gotten by substituting t -2 for h
The solution can be rewritten as:
[tex]T(t) = (t - 2)^2 - 4[/tex]