Answer:
5,964 people are under 18 , 400 people are aged 18 to 60 , 8,236 people are over 60
Step-by-step explanation:
42 , 600 x 14/100 = 5,964 people are under 18
42,600 x 2/3 = 28 , 400 people are aged 18 to 60
The remaining over 60 = 42 , 600 - (5,964 + 28400)
42,600 - 34,364 = 8,236 people are over 60
How many pairs of intersecting line segments are shown?
A. 4
B. 8
C. 16
D. 24
Answer:
I believe the answer is 24.
Step-by-step explanation:
hope it helps.
PLEASE PLEASE PLEASE HELP ME. IM STUCK IN A SUMMER SCHOOL AND IF I DONT GET GOOD GRADES ILL GET IN BIG TROUBLE AND IM TOTALLY LOST ON THIS PROBLEM. I ALREADY DID THE FIRST TWO BUT I DONT KNOW HOW TO DO THE LAST ONE. PLEASE HELP ME!!!!
Answer:
We know that in the box there are:
4 twix
3 kit-kat
Then the total number of candy in the box is:
4 +3 = 7
a)
Here we want to find the probability that we draw two twix.
All the candy has the same probability of being drawn from the box.
So, the probability of getting a twix in the first drawn, is equal to the quotient between the number of twix and the total number of candy in the box, this is:
p = 4/7
Now for the second draw, we do the same, but because we have already drawn one twix before, now the number of twix in the box is 3, and the total number of candy in the box is 6.
this time the probability is:
q = 3/6 = 1/2
The joint probability is the product of the individual probabilities, so here we have
P = p*q = (4/7)*(1/2) = 2/7
b) same reasoning than in the previous case:
For the first bar, the probability is:
p = 3/7
for the second bar, the probability is:
q = 2/6 = 1/3
The joint probability is:
P = p*q = (3/7)*(1/3) = 1/7
c) Suppose that first we draw a twix.
The probability we already know that is:
p = 4/7
Now we want another type, so we need to draw a kit-kat, the probability will be equal to the quotient between the remaining kit-kat bars (3) and the total number of candy in the box (6)
q = 3/6
The joint probability is:
P = p*q = (4/7)*(3/6) = 2/7
But, we also have the case where we first draw a kit-kat and after a twix, so we have a permutation of two, then the probability in this case is:
Probability = 2*P = 2*2/7 = 4/7
what is the length of segment SR?
ST = ST (Common)
RT = TQ (Given)
∠ RTS = ∠ SQT (Both 90°)
So, ∆ RTS ≅ ∆ QTS (By SAS congruency rule)
So, RS = QS (By C.P.C.T.)
=> 2x + 8 = 8x - 4
=> 8 + 4 = 8x - 2x
=> 12 = 6x
=> 12/6 = x
=> 2 = x
SR = 2x + 8 (Given)
=> SR = 2(2) + 8 (Putting the value of x)
=> SR = 4 + 8
=> SR = 12
Answer:
Step-by-step explanation:
An 80-mile trip is represented on a gridded map by a directed line segment from point M(3, 2) to point N(9,
13). What point represents 60 miles into the trip? Show your work and explain your reasoning.
Answer:
Step-by-step explanation:
If the distance from M to N is 80 miles and we want to find the coordinates of the point 60 miles into the trip, we are looking for the point 3/4 of the way from M to N, since 60 is 3/4 of 80. This is the process:
First we need to consider that MN is a directed vector. We first find the components of the directed vector, which is found in the change in x and the change in y. First step, then, looks like this:
<Δx, Δy> = <9-3, 13-2> = <6, 11> We will call those the x and y components of the vector (which comes from vector study in both physics and math, so if you don't understand that, it's ok! Just follow the process here and you'll be fine). Knowing that 60 is 3/4 of the way from M to N, we find 3/4 of both the x and y components, like this:
[tex]<\frac{3}{4}(6), \frac{3}{4}(11)>[/tex] which will give us 3/4 of the change in x and 3/4 of the change in y:
[tex]<\frac{18}{4},\frac{33}{4}>=<4.5,8.25>[/tex]
Since we are going 3/4 of the way from M to N, we add that component to the x and y coordinates of M, giving us 3/4 of the way from M to N, which translates to 60 miles of the 80 mile trip:
(3 + 4.5, 2 + 8.25) = (7.5, 10.25)
Those are the coordinates of the point that represents 60 miles into the 80 mile trip.
Select the two values of x that are roots of this equation.
x² + 3x-6=0
A. X=
-3+ /33
2
B. x=-3-83
c. x. -3-15
D. x. -3*4/15
please help
Answer:
[tex]x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]
Step-by-step explanation:
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 + - \sqrt{9 + 24} }{2} \\ x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
The time it will take Ted and Jacob to clear the field together is; t = 1.2 hours.
We are told that;Ted can clear the football field in 3 hours. Thus, portion of field he can clear = ⅓t
Where t is number of hours
Jacob can clear the same field in 2 hours.Thus, portion that Jacob can clear = ½t.
If they work together and finish together, it means that;⅓t + ½t = 1
Multiply through by 6 to get;
2t + 3t = 6
5t = 6
t = 6/5
t = 1.2 hours
Read more about rates and proportions at; https://brainly.com/question/12242745
A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts. Amount of strawberry Amount of banana 1 b. Explain why these amounts are proportional.
Answer:
See Explanation
Step-by-step explanation:
Given
Let
[tex]S \to[/tex] Strawberry
[tex]B \to[/tex] Banana
[tex]S : B = 2 : 3[/tex]
Solving (a):
Complete the table
The table, to be complete, is not given; so, I will generate one myself.
[tex]\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}[/tex]
The table is generated as follows:
[tex]S : B = 2 : 3[/tex]
Multiply by 1.5
[tex]S : B = 2 * 1.5 : 3 * 1.5[/tex]
[tex]S : B = 3 : 4.5[/tex]
Multiply by 2
[tex]S : B = 2*2 : 3*2[/tex]
[tex]S : B = 4 : 6[/tex]
And so on....
In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant
Solving (b): Why the amount are proportion
Because the ratio is constant and it remains unchanged all through.
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
Which segment is adjacent to∠N?
Answer:
SN
Step-by-step explanation:
The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.
The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
A circular garden is surrounded by a circular path of 7m width.If the area of path is 770m²,find the area of the garden without path.
help me this question ⁉️
Answer:
Answer:
Radius of the circular garden
= 210 sq
=105m
Radius of the region covering the garden and the path =105m+7m
=112m
Area of the region between two concentric circles
with radius of outer circle R, and inner circle r =π(R sq−r sq)
Hence, the area of the path
=π(112sq−105 sq)= 7/22
(12544−11025)
= 33418/7
=4774m sq
HOPE THIS WILL HELP YOU MATE
What is the first step in solving the quadratic equation -5x^2+8=133?
taking the square root of both sides of the equation
subtracting 8 from both sides of the equation
squaring both sides of the equation
adding 8 to both sides of the equation
Answer:
Step-by-step explanation:
-5x²+8=133
-5x²=133-8
-5x²=125
x²=-25 ........... dividing 125 by -5
x=√-25..........Taking square root of -25
x=±5
Hope this might help you...
The first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -5x²+8=133
Minus five times of x square plus eight equal to one hundred thirty three.
x is the variable in the equation.
We have to solve for x
-5x²+8=133
The first step is to isolate the variable x to do this we have to subtract 8 from both sides
-5x² = 125
Divide both sides by 5
x² = -125/5
x² =-25
Hence, first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.
To learn more on Equation:
https://brainly.com/question/10413253
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Pes
Refer to the figure below to answer the following questions.
2 ft
4 ft
Find the surface area. Round to the nearest tenth.
75.4 ft2
50.3ft2
62.8 ft2
0 25.1 ft2
Answer:
75.4
Step-by-step explanation:
75.4area of cylinder is 2pie r h plus 2 pie * 2^2
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 25.540 degrees
Step-by-step explanation:
When computing the value of x, there are various ways to solve with given information.
The easiest way is to set up the equation: cos(20 degrees) = 24/x
Cosine is adjacent over the hypotenuse.
Multiplying x on both sides, and dividing by cos(20 degrees), we are left with x = 24/cos(20 degrees).Solving for it in a calculator, we are left with 25.540 degrees.the salesperson recieved $2,800 commission on her 35% share of the total commission on the sale of a property that was sold for $160,000. What was the commission rate?
Answer:
5%
.35x = 2800
x = 8000
p(160,000)=8000
p=.05 = 5%
Step-by-step explanation:
Someone help me with this please
Answer:
4 number
Step-by-step explanation:
16p+32q=1,280
Classify the following triangle. Check all that apply.
113
Jason
A. Isosceles
B. Scalene
O C. Acute
D. Right
E. Equilateral
OF. Obtuse
Answer:
A
Step-by-step explanation:
Because 113 %45*45 that gives you isosceles
Answer:isosceles and right.
Step-by-step explanation:
The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x + 4 indicates:
Answer:
Moving 4 to the right on the x axis
A scientist hopes to launch a weather balloon on one of the next three mornings. For each morning, there is a 40% chance of suitable weather. What is the probability that there will be at least one morning with suitable weather?
SOMEONE PLEASE HELP ME.
Answer:
118/125
Step-by-step explanation:
We can find first the probability that there isn’t suitable weather:
60/100 * 60/100 * 60/100 = 3/5 * 3/5 * 3/5 = 27/125
now we have just to do this operation
125/125 - 27/125 = 118/125
Monique wants to have an equal number of cups and napkins. What
is the least number of packages of cups and the least number of
packages of napkins Monique should buy to have an equal number
of cups and napkins?
¿Cuántos números distintos pueden formarse con los dígitos 4, 5, 6 y 7 sin repetir ninguno de ellos?
Answer:
24.
Step-by-step explanation:
Para determinar cuántos números distintos pueden formarse con los dígitos 4, 5, 6 y 7 sin repetir ninguno de ellos se debe realizar el siguiente cálculo:
4, 5, 6 y 7 = 4 números
4 x 3 x 2 x 1 = X
12 x 2 = X
24 = X
Por lo tanto, con los dígitos 4, 5, 6 y 7 pueden formarse 24 números.
If you sell 25 items at $150 a piece and your commission rate is 40%, how
much commission do you earn?
Answer: 1500 dollars.
Step-by-step explanation:
25 * 150 = 3750 (dollars) - total sale amount;
3750 : 100% * 40% = 1500 (dollars) - commission.
If x = 7+3 root 5 by 7 - 3 root 5 , find the value of x^2 + 1 by x^2
Answer:
6 because why not
Step-by-step explanation:
Find the measure of each angle indicated.
23)
A) 125°
C) 120°
B) 110°
D) 112°
Answer:
B
Step-by-step explanation:
The exterior angles of the triangle sum to 360° , then
? + 107° + 143° = 360°
? + 250° = 360° ( subtract 250° from both sides )
? = 110° → B
how do you find the arc length of a semi-circle?
the arc length is calculated by the formula [tex]\displaystyle\bf C=\frac{2\pi r}{360} \cdot\alpha[/tex] then [tex]\displaystyle\bf C=\frac{2\cdot 8 \pi }{360} \cdot180=8\pi=3,14\cdot8=25.12[/tex] or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2 С=2πr:2=πr =8π=25,12
−3x−6+(−1)
need answer pls
Step-by-step explanation:
−3x−6+(−1)
-3x-7
Hope it helps youAnswer:
−3 −7
Step-by-step explanation:
-3x-6-1
-3x-7
Find the rate of change for the function of change from x=-3 to x=1
Answer:
She's, "HOT"!
Step-by-step explanation:
1. Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0,6).
Explain Paul's mistake and write the
correct ordered pair for the new location of
the market.
PLZ ALSO INCLUDE WHAT HIS MISTAKE WAS!
ANSWER FOR Brainiest!!!
Need help on this question asap pleasee :)
Answer:
1/4
Step-by-step explanation:
Refer to pictures above
Answer:
6.9
Step-by-step explanation:
Cos ∆ = Adjacent/Hypotenuse
therefore x=12Cos55°
=6.88
=6.9 to the nearest tenth
PLEASE HELP PLEASE!!!!! NO LINKS!!!
Answer:
Step-by-step explanation:
a) profits = 30,000 + (30,000 * .05 * years)
P(y) = 30,000 + 1500y
b) P(15) = 30,000 + 1500*(15)
P(15) = 52,500