Answer:
17 kids 24 adult
Step-by-step explanation:
17+24 = 41
17x1.5=25.5
24x2=48
48+25.5=73.5
For the event , 24 adults and 17 children tickets were sold .
Let :
Number of children ticket = cNumber of adult tickets= aNow we have the equations :
a + c = 41 ____(1)2a + 1.5c = 73.5 ___(2)from (1):
a = 41 - c ___(3substitute (3) into (2)
2(41-c) + 1.5c = 73.5
82 - 2c + 1.5c = 73.5
-0.5c = -8.5
c = 17
From (3)
a = 41 - 17
a = 24
Hence, 24 adults and 17 children tickets were sold .
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Factor( special patterns): 36x^2-84x+49
Answer:
(6x - 7) (6x - 7)
Step-by-step explanation:
A perfect square trinomial will be in the form of [tex]a^2[/tex] ± [tex]2ab + b^2.[/tex] A trick to factoring a perfect square trinomial would to write it as [tex](a^2[/tex]±[tex]b^2)[/tex]. (When doing this, the sign in the middle is determined by the middle sign in the original trinomial).
[tex]36x^2 -84x + 49[/tex] is known as a perfect square trinomial, too. Its first and last terms are both perfect squares (6x squared makes [tex]36x^2[/tex], 7 squared makes 49) and the middle term is 2 times the square roots of both of the other terms ( [tex](2) (7) (6x)[/tex] is [tex]84x[/tex]).
So, we can use the trick described earlier, and the answer would be [tex](6x-7)^2[/tex], also known as (6x-7) (6x-7).
A triangle with area 50 cm^2 has side lengths 10cm and 22cm. What is the magnitude of the included angle?
Answer:
can we go to bed first
Step-by-step explanation:
then i will check your speed
Answer:
27°
Step-by-step explanation:
A = ab sinC / 2
50 = 10 * 22 * SinC / 2
sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455
C = 27°
Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits
a. write a linear model that represents the total amount of money Paul deposits in his account after m months
b after how many months will Paul have more than 2,000?
Answer:
below explained
Step-by-step explanation:
what is 3x2 + 5x - x2 - 2x + 3 simplifyed completely
Answer:
2x^2+3x+3
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP 1
The Equation at the end of step 1
(3x2 + 5x) - x2) - 2x) + 3
STEP 2
Trying to factor by splitting the middle term
2.1 Factoring 2x2+3x+3
The first term is, 2x2 its coefficient is 2.
The middle term is, +3x its coefficient is 3.
The last term, "the constant", is +3
Step-1: Multiply the coefficient of the first term by the constant 2 • 3 = 6
Step-2: Find two factors of 6 whose sum equals the coefficient of the middle term, which is 3.
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5
3 + 2 = 5
6 + 1 = 7
Observation: No two such factors can be found !!
Conclusion: Trinomial can not be factored
Final result :
2x^2 + 3x + 3
Hope this helps!
Brain-List?
Evaluate y=5x+7, for x=3.
Trevor measured the town library and made a scale drawing. In real life, the parking lot is 75 meters long. It is 135 centimeters long in the drawing. What scale did Trevor use? 9 centimeters : meters
Answer: [tex]9\ cm\equiv 5\ m[/tex]
Step-by-step explanation:
Given
The actual length of the parking lot is 75 m
length in the drawing is 135 cm
Here, 75 m is equivalent to 135 cm
Using unitary method
[tex]75\ m\equiv 135\ cm[/tex]
[tex]15\ m\equiv 27\ cm[/tex]
[tex]9\ cm\equiv \frac{15}{3}=5\ \text{m}[/tex]
Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?
Answer:
The answer is $1512.
Step-by-step explanation:
First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.
I'm taking a test and it's really important that I pass it because I'm already failing the class. Please help me I have no idea how to do it. The test has a time limit, everything has to be submitted by 12:25 at the latest. Please show the work if you can.
Simplify the expressions
1. (1+2i)(5-5i)
2. (1+2i)-(-2-2i)
3. (1+2i)+(2-i)
4. (6i)(-5i)
Answer:
1. 15+5i
2. 3+4i
3. 3+i
4. 30
Step-by-step explanation:
Jim rolls a fair dice 36 times. How many times would Jim expect to roll a three?
Answer:
6
Step-by-step explanation:
36/6=6
if it is a fair dice it will be even
Answer:
I think it's 6 but I'm not sure
Step-by-step explanation:
36:6=6
i will breann list yuo
Answer:
D. 4/9 and 0.4 repeated
Step-by-step explanation:
4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9
Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?
4.
Which two steps should be used first in solving the system of equations by substitution?
A:Substitute 9 for y in the first equation and then solve the other equation for x.
B:Solve the second equation for y and then substitute this value into the first equation.
C:Subtract the terms in the second equation from the first equation and then solve for y
D:Multiply the first equation by 4 and the second equation by 2.
Answer:
B because that is how you do substitution and all of the other ones do not make sense
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3
What is y - 1 when y = 4?
A: 3
B: 2
C: 1
D: 0
PLZ HELP!
Answer:
A:3
Step-by-step explanation:
replace y by 4..so it would be 4-1=3
Help will mark brainlist.
1=
2=
3=
4=
What is f 2/9 + 9 1/9?
Answer:
28/3 or 9.3333
Step-by-step explanation:
2/9 + 82/9= 28/3
A carousel with a 60-foot diameter makes 3 revolutions per minute. (A) find the angular speed of the carousel in radians per minute. (B) find the linear speed (in feet per minute) of the platform rim of the carousel. What's are the answers?
Answer:
[tex]V=376.9911184feet per minute[/tex]
Step-by-step explanation:
From the question we are told that
60-foot diameter
3 revolutions per minute
a)Generally angular speed can mathematically be given is given as
[tex]W=2\pi f[/tex]
[tex]W=2*\pi*3[/tex]
[tex]W=6*\pi[/tex]
[tex]W=18.84955592[/tex]
b)Generally linear speed is mathematically given as
[tex]V=\omega r[/tex]
[tex]V=6\pi *30[/tex]
[tex]V=120*\pi[/tex]
[tex]V=376.9911184feet per minute[/tex]
pls help U WILL BE BRAINLISTED
Answer:
C.)
Step-by-step explanation:
You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps
please help, can't understand.
Step-by-step explanation:
Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)
Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)
Hence Angle BCO = Angle ACO = 140° - x.
Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.
By Exterior Angle theorem,
we have Angle AOC = Angles BCO + CBO
=> x = (140° - x) + (140° - x)
=> 3x = 280°
=> x = 280°/3. (B)
the measure of one interior angle of a regular 90-sided polygon.
9514 1404 393
Answer:
176°
Step-by-step explanation:
The total of exterior angles is 360°, so one of those for the regular polygon will be 360°/90 = 4°. The adjacent interior angle is the supplement of this.
The interior angles measure 180° -4° = 176°.
x-15/5=4
what is x in this equation?
Answer: is 7 an answer choice ?
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
x-15/5=4
x-3=4
x=4+3
x=7
Gail has $5,500 that she wants to put in a new savings account. She is
considering two banks that are very similar. One difference she notices
are the interest rates:
• Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
.
Based on interest, which bank would you suggest Gail pick if she plans to
have her money in the account for 15 years?
Answer: Neighborhood Bank - 0.65% interest, compounded weekly
Step-by-step explanation:
The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
Given that Gail has $5,500 that she wants to put in a new savings account.
Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
Thus, $5,500 x 0.65% = $35.75
$35.75 a day times 360 days = $12870
$12870 times 20 = $257,400.
$257,400 times 20 = $514800 (16.2mil)
Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
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Add (−x + 4) + (3x + 2). I WILL MARK BRAINLIST!
Answer:
2x+6
Step-by-step explanation:
(-x+4)+(3x+2) remove ()
-1x+4+3x+2 combine like terms
2x+6
What is the value of x in the figure shown below
Answer:
x = 34 degrees
Step-by-step explanation:
if this is a parallelogram then Δ ACB ≅ Δ DCB
which means that ∠A = ∠D
Find the 64th term of the arithmetic sequence 33, 25, 17, 9?
Answer: -467
I sure but not so sure but hoped it helped
Step-by-step explanation:
It’s decrease by 8 so do the formula
an= a + d(n−1).
Did I get it correct?
Answer:
No they are proprotional.
Step-by-step explanation:
the tables eqaution is
y=3x+1
Answer:
Yes. I assume yes they are proportional because you can see a pattern in the y and x's.
If there are 30 boys and 15 girls in the room fill out all the possible ratios of boys to girls that could be made
Answer:
All the possible ratios of boys to girls that could be made are:
30:15
10:5
6:3
2:1
Step-by-step explanation:
If there are 30 boys and 15 girls in the room
We have :
Boys : Girls
30 : 15
a) 30 : 15
Dividing through by 3
= 10:5
b) 30 : 15
Dividing through by 5
= 6:3
c) 30 : 15
Dividing through by 15
= 2:1
Hence:
All the possible ratios of boys to girls that could be made are:
30:15
10:5
6:3
2:1
Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
packages
Answer:
Think the answer is 1292928
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
The school store received a shipment of notebooks and pens. There are 10 cartons of notebooks and 25 boxes of pens. Each carton of notebooks costs $72 and contains 48 notebooks. Each box of pens costs $12.60 and contains 36 pens. The school wants to make a 10% profit.
question What is the cost of one notebook? What amount must be added on to the notebook's cost to account for a 10% markup? What will be the retail price (price the school is charging) for the notebook?
Answer:
cost of one notebook: 72/48 = $1.50
10% mark up = $1.50 x 0.10 = 0.15 cents
retail price = $1.65
Step-by-step explanation:
Find the product: 42.6 × 15.
Answer:
The answer is 639.
Step-by-step explanation:
42.6 × 15
639
Answer: 639
Step-by-step explanation:
42.6 x 15 =639