The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'm' be the number of months and 'y' be the population. Then the equations are given as,
y = (125 - 100) m + 33,950
y = 25m + 33950 ...1
y = 150m + 35700 ...2
From equations 1 and 2, then we have
150m + 35700 = (125 - 100) m + 33950
125m - 100m + 33950 - 35700 - 150m = 0
175m = 1750
m = 10 months
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
More about the linear equation link is given below.
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Help me ASAP please.
If two lines intersect and one angle measures 25°, what are the measures of the other angles?
25
75
155
125
Answer:
155 and 25
Step-by-step explanation:
Answer: 155
Step-by-step explanation:
Two Lines that intersect form TWO angles. The sum of the Two Angles is always 180 degrees.
180-25 = 155
Please help! Correct answer only!
You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 10. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is odd, you win $25. If the number the ball lands on is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$12.5
Step-by-step explanation:
Since there is a 50% chance of landing on an odd number, the expected payoff is 0.5*25=12.5. Hope this helps!
C. Courtney got a remote control car for her birthday. It is a metallic
purple with chrome wheels that are 1 1/2 inches in diameter. She said to
her friend, Dylan, “My remote control car goes faster than my mom's
car on the freeway.” “No way,” said Dylan. Courtney said, “I will prove it to
you.” Courtney measured off a distance of 115 inches. Dylan said, “Okay, I
will time how long it takes your car to travel that distance. I have a stopwatch
feature on my watch.” Courtney raced her remote control car over the
115-inch distance. Dylan said, “Wow, that only took 3.21 seconds. That seems
really fast.” “See, I told you,” said Courtney. “But really how fast is it going?”
answered Dylan. Determine the speed of Courtney's remote control car and
compare its speed to that of a regular car traveling on the freeway. Explain
how you found your solution. Why might the manufacturer get away with
advertising that the remote control car Travels Faster Than Life?
please help!!!!
Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.
Step-by-step explanation:
[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]
Speed of Courtney's remote control car is: 2 mph
Courtney's remote control car is slower than an average freeway car since averagely the speed of a car on the freeway is usually 60 mph.
Given that:
Distance covered by Courtney's car = 115 inches
Time taken to cover that distance = 3.21 seconds
Converting inches to miles and seconds to hours:
[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]
Thus speed of Courtney's car can be calculated as
[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]
Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.
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What is the slope of the line that passes through the points (4,7) and (5,3)?
I will be showing you the graphing method.
To find the slope of the line using the graphing method,
we start by plotting our two points.
We will call (4,7) point A and (5,3) point B.
Now daw a line that contains these points.
Now remember that the slope or m is equal to the rise/run.
So to get from point A to point B, we rise -4 units
and run 1 unit so our slope is -4/1 or -4.
1. Find the measure of
Answer:
39 degrees
Step-by-step explanation:
It is shown that there is a 90 degree angle one part is given so 90-51=39 degrees.
Answer:
b = 39°
Step-by-step explanation:
The box means that it is a right angle and a right angle means it is 90 degrees.
90 degrees - 51 degrees = 39 degrees
b = 39°
Susan Marciano invested part of her 28,000 bonus in a fund that paid a 10% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was 2,410
Answer:
amount invested in funds that earned 10% is $25,000, while the amount invested in stock that suffered 3% loss $3,000.
Step-by-step explanation:
Let x be the amount invested in funds that earned 10%.
Then the amount invested in stock that suffered 3% loss is 28,000 - x.
The profit from investment in funds is 10%x
The loss from investment in stock is 3%(28,000 - x).
The net profit is 10%x - 3%(28,000 - x).
As the net profit given in the problem is $2410, we have:
10%x - 3%(28,000 - x) = 2410
Solving for x, we have:
10x - 3(28,000 - x) = 241000 (multiply both sides by 100)
10x - 84000 + 3x = 241000
13x = 241000+84000
13x = 325000
x = 325000/13
x = 25,000
So
the amount invested in funds that earned 10% is $25,000.
the amount invested in stock that suffered 3% loss is 28,000 - x = 28000 - 25000 = $3,000.
this is my question -- factorise x^2+5x+6
Answer: (x+2)(x+3)
Step-by-step explanation:
Find the multiples of 6 and then see which two numbers adds up to 5
What is the measure of DEF
Answer:
105°
Solution,
[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The total angle of a triangle is 180°. Using this we can find the angle DEF(x).
180=28+47+x
180=75+x
180-75=x
105=x
SO angle DEF=105°
Hope it helps!!
Look at the graph What is slope of the line
Answer:
You didn't insert the/a file
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
625
Step-by-step explanation:
The maximum is the y-coordinate of the vertex. The vertex is (25, 625) so the answer is 625.
What is 6 divided by 2
Answer:
3
Step-by-step explanation:3x2=6
I need this for my notes so i can know what to do. What is the length of AC? And Length of AB?
Answer:
AC 5
AB = 3
Step-by-step explanation:
AC = distance between the points
C-A = 3 - -2 = 3+2 = 5
The distance is 5
AB = distance between the points
B-A = 1 - -2 = 1+2 = 3
The distance is 3
Answer:
AC = 5
AB = 3
Step-by-step explanation:
AC:
3 - X = -2
3 - 5 = -2
AB:
1 - X = -2
1 - 3 = -2
if f(x)=x+3 g(x)=2x+6 find (f+g)(x)
Answer:
3x + 9
Step-by-step explanation:
For value of (f+g)(x) add two functions up
x + 3 + 2x + 6 = 3x + 9
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?
Answer:
2664
Step-by-step explanation:
9.25×36+(380÷20)×8
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.
Answer: - 2.5
Step-by-step explanation:
Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.
From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.
(-3 + - 2) / 2 = - 5/2 = - 2.5
Can you please help me this is coordinates only and thank you.
Answer: (2,6)
Step-by-step explanation: you go the the left 3 from F then up 2 and you have it.
A business man mixed high quality sugar costing 10 shillings with low quality sugar costing 8 shillings per kg in the ratio 3:5 by which he sold the mixture at 9.80 shillings per kg . What was his percentage profit?
Answer:
His percentage profit is 12%
Step-by-step explanation:
Here, we want to calculate the percentage profit made by the business man.
Per kg of what he is selling, he has 3 parts high quality sugar and 5 parts low quality sugar.
Now let’s see how much these costs
For the high quality sugar, it’s total kg mixed per kg will be 3/(3+5) = 3/8
Since high quality sugar costs 10 shillings per kg, 3/8 of a kg will cost 3/8 * 10 = 30/8 = 3.75 shillings
For the low quality, its part will be 5/(3 + 5) = 5/8
since low quality costs 8 shillings per kg, 5/8 of a kg will cost 5/8 * 8 = 5 shillings
Total cost price = 3.75 + 5 = 8.75 shillings
% profit = (selling price - cost price)/cost price * 100%
selling price here is 9.8 shillings per kg
while cost price is 8.75 shillings per kg
% profit = (9.8-8.75)/8.75 * 100%
= 1.05/8.75 * 100% = 0.12 * 100% = 12%
For questions 1 - 2, complete the given table of values. Then sketch a graph that shows two complete cycles. 1. Y=- cosx 2. Y = sin x+1
Answer:
See attachment.
Step-by-step explanation:
See attachments.
What is the solution to this system of linear equations? x + y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)
Answer:
x= 4 y = -1
(5,-1)
Step-by-step explanation:
x + y = 4 x − y = 6
Add the two equations together to eliminate y
x + y = 4
x − y = 6
---------------
2x = 10
Divide by 2
2x/2 = 10/2
x = 5
Now find y
x+y = 4
5+y = 4
Subtract 5 from each side
5+y-4 = 4-5
y = -1
Answer
5,-1
Step-by-step explanation:
edg 2020
Pedro walks his dog around Ray D. Hall Park. Jessica walks her dog around Rex Tangle Park. Pedro contends that he walks his dog a longer distance than Jessica walks her dog. Jessica contends the opposite. To settle their debate, they find satellite images of both parks and juxtapose them on a single coordinate grid (shown below). The perimeter of Ray D. Hall Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. The perimeter of Rex Tangle Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. Who should win the debate?
Answer:
the perimeter of Ray D. Hall park is 377 m
and the perimeter of Rex Tangle park is 400 m
and Jessica's walk is longer.
Step-by-step explanation:
I need help people please help me
Answer:
10/4 = [tex]\frac{10}{4}[/tex]
Step-by-step explanation:
Identify the relationship complementary, or vertical and find the value of x.
Wouldn’t it be complementary?
Also, I know how to find x, I’m just wondering what’s the relationship.
Answer:
It is complementary.
Step-by-step explanation:
It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees. Supplementary angles : Angles that are next to each other adding up to 180 degrees.
PLEASE HELP!!!!!! PLEASE
Answer:
C
Step-by-step explanation:
A<B<D do not make sense
Add the polynomials.
(4x + 11) + (12x + 2)
a
16x + 13
b
12x + 9
С
25x + 16
d. 19x + 13
Answer:
[tex](4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13[/tex]
Step-by-step explanation:
Answer = a. 16x+13
what is the answer to 18−(2x+1) = ???
Answer & Step-by-step explanation:
18 - (2x + 1)
Distribute the negative sign (-) to 2x + 1.
18 - 2x - 1
Put -2x in the beginning of the expression and combine like terms.
-2x + 17
So, the answer to 18 - (2x + 1) is -2x + 17.
Triangle A B F is shown. Line B F is extended through point G. Line F A is extended through point C. A line is drawn from point A to point D. A line is drawn from point F to point E. Which represents an exterior angle of triangle ABF? ∠BAD ∠AFE ∠CAD ∠CAB
Answer:
(D) [tex]\angle CAB[/tex].
Step-by-step explanation:
The diagram is attached below:
Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.
The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.
In the diagram:
[tex]\angle ABF$ and \angle AFB[/tex] are opposite interior angles.
The third angle is [tex]\angle BAF[/tex]
The angle which forms a supplementary angle with [tex]\angle BAF[/tex] is [tex]\angle CAB[/tex].
Therefore, the exterior angle of triangle ABF is [tex]\angle CAB[/tex].
Answer:
D
Step-by-step explanation:
Just took the test and got it right
Solve the system using elimination. 3x + 3y = –9 3x – 3y = 21
Answer:
y=-5,x=2
Step-by-step explanation:
3x+3y=-9________________eqn 1
3x-3y=21________________eqn 2
using elimination method
3x+3y=-9
-
3x-3y=21
subtract equation 2 from equation 1
0+6y=-30
6y=-30
y=-30/6
y=-5
substitute the value of y in equation 1
3x+3y=-9
3x+3(-5)=-9
3x-15=-9
3x=-9+15
3x=6
x=6/3
x=2
Please help me with this and explain
Answer:
4.104
Step-by-step explanation:
Volume of any prism = Area of cross section x height.
so, volume = 0.6 x 1.9 x 3.6 = 4.104
A lock requires a 3 number combination using the numbers 0 through 9, none of which may be repeated. How many outcomes are possible?
48
720
12010
Answer:
720
Step-by-step explanation:
The lock requires that repetition is not allowed.
The possibles numbers are 0 - 9, that is, 10 digits.
The first number in the combination can be picked from the 10 digits.
This means that there are 10 possible choices.
The second number in the combination can now only be picked from 9 digits.
This means that there are 9 possible choices.
The third number in the combination can now only be picked from 8 digits.
This means that there are 8 possible choices.
Therefore, the number of possible outcomes in the combination is:
10 * 9 * 8 = 720 outcomes
A basket has at most 150 applies in it. Then the number of apples in the basket if the number of apples satisfy the following conditions If counted in pairs, one remains; If counted in threes, two remains; If counted in fourss, three remains; If counted in fives, four remains; If counted in sixes, five remains; If counted in sevens, nothing remains; (A) 116 (B) 117 (C) 118 (D) 119
Answer:
Number of apple = 119
Step-by-step explanation:
Given
[tex]Max_{Apple} = 150[/tex]
Required
Find the actual number of apples;
When counted in any numbers, the number being counted is the divisor;
Take for instance, when counted in pairs, the divisor is 2
When counted in threes, the divisor is 3
and so on...
So; from the question, we understand that; when the apple is counted in 2s,3s,4s,5s, and 6s; what's left is always one less than the divisor
This means that the number of apple must satisfy the following conditions
Less than 1501 less than the Common Multiple of 2,3,..,6Divisible by 7The common multiple of 2,3,..6 are 60, 120 ,180,240.....
Recall that, these multiples must satisfy the three conditions above;
1. Less than 150: Only 60 and 120 satisfy condition.
At this point, we'll discard other numbers (180,240,300.....)
2. 1 less than the Common Multiple of 2,3,..,6:
1 less than 60: 60 - 1 = 59
1 less than 120: 120 - 1 = 119
3. Divisible by 7
At this point, we'll divide 59 and 119 by 7 to see if they satisfy this condition;
[tex]\frac{59}{7} = 8.42857142857[/tex]
[tex]\frac{119}{7}=17[/tex]
The results of these division shows that 59 is not divisible by 7;
Hence, the actual number of apple is 119
Number of apple = 119
