Answer:
a) 36
b) 2
c) 2
Step-by-step explanation:
In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population of Smallville is consistently 1200 less than half of Metro City. Determine how long it will take for Smallville's population to reach 2282.
Which answer provides the correct equation and solution for the situation, where x represents the number of years?
A. The equation is 2282=2(7420−152x)+1200. It will take 45.26 years for the population of Smallville to be 2282 people.
B. The equation is 2282=2(7420−152x)+1200. It will take 45.26 months for the population of Smallville to be 2282 people.
C.The equation is 2282=12(7420−152x)−1200. It will take 3 months for the population of Smallville to be 2282 people.
D. The equation is 2282=12(7420−152x)−1200. It will take 3 years for the population of Smallville to be 2282 people.
Answer:
The correct option is D.
Step-by-step explanation:
Let x denote the years.
The information provided is:
The population of Metro City is 7420.The population is decreasing by 152 people per year.The population of Smallville is consistently 1200 less than half of Metro City.From the provided data derive the equation for the population of Smallville x years after as follows:
[tex]Y = [\frac{1}{2}\cdot (7420-152x)]-1200[/tex]
The population of Smallville is 2282 after x years.
Compute the value of x as follows:
[tex]2282= [\frac{1}{2}\cdot (7420-152x)]-1200[/tex]
[tex]\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3[/tex]
Thus, the time it will take for Smallville's population to reach 2282 is 3 years.
The correct option is D.
Help me please ok thank you ._.
Answer:
its ur dad
Step-by-step explanation:
Use the side lengths of triangle DEF and the fact that the triangles are similar to find the measure of angle E and type your answer below. (Note: Do NOT include a unit label in your answer.)
Answer:
Angle E = 65 degrees
Step-by-step explanation:
Since triangle DEF is similar to triangle BAC, angle E = angle A = 180 degrees - angle B - angle C = 180 degrees - 90 degrees - 25 degrees = 65 degrees
Find the next number in the sequence: "-1, 1, 4, 8, 13, ..."
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
because the more you go up the amount increases
Find all points on the y-axis that are 5 units from the point
(4,4).
Answer:
-4,9 , -4,-1 , 4,-1 , 4,9
Step-by-step explanation:
The y-axis is straight up and if you move down on the and moving up 5 is 9 and moving down 5 is -1 and depending if it's on the right of left (negative or positive) the x-axis is (the 4) is postive or negative.
I really need the answer to this plzzzzzz
Answer:
it may be c but im not usre
Step-by-step explanation:
start a convo and make friends cause why not
Answer:
yeeseesss..........
ASAP
Can someone help me please
more information pls
HELP ME PLS OMG -LS PLS PLS PLS ASAP ASAP PLS pls
Answer:
No, Yes, Yes
Step-by-step explanation:
no yes yes
(gl on your test or whatever)
How long is 75% of a 24-hour day?
Answer:
18 hrs
Step-by-step explanation:
6hrs is 25%, so 6 times 3 is 18, Hope This Helps!
75% of a 24-hour day is 18 hour.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
75% of a 24-hour day
let 75% of 24 hour day be x.
So, 75% of 24 = x
x= 75/100 x 24
x= 3/ 4 x 24
x= 18 hours
Hence, 75% of a 24-hour day is 18 hour.
Learn more about algebra here:
https://brainly.com/question/24875240
#SPJ2
help please !
10•f(7)+9•g(-1)=
Answer:
-1
Step-by-step explanation:
By the rule of the functions, 10.[f(7)] + 9[g(-1)] = -1
From the graph attached,
Blue curve represents the function 'f' and the purple curve represents function 'g'.
We have to find the value of the expression with the help of the graph attached,
For a function y = f(x), (x, y) is a point on the curve representing the values on x-axis and y-axis respectively.
Given expression → 10[f(7)] + 9[g(-1)]
Since, y = f(x)
Therefore, for x = 7 y-value will be,
y = f(7) = -1
Similarly, y-value of the function 'g' at x = (-1) will be,
y = g(-1) = 1
By substituting these values in the expression,
10.[f(7)] + 9.[g(-1)] = 10(-1) + 9(1)
= 10(-1) + 9
= -10 + 9
= -1
Therefore, 10.[f(7)] + 9[g(-1)] = -1 will be the answer.
Learn more,
https://brainly.com/question/24669122
For 0.00001 what would the exponent be? 10^?
Answer:
would be 1
Step-by-step explanation:
you take 0.00001 and keep multiplying that by your answer
Examine the equation.
–2(–x + 9) = 2(x – 9)
2x – 18 = 2x – 18
This equation has .
Answer:
B
Step-by-step explanation:
I took the Assignment
Answer:
b
Step-by-step explanation:
Write an expression to represent the submarine’s elevation after its final dive. Then simplify the expression to find its elevation
Answer:
-502.5 − 115 = -617.5
The submarine’s elevation after its final dive is -617.5 feet, or 617.5 feet below sea level.
Step-by-step explanation:
Plato answer
Answer:
63 1/4
Step-by-step explanation:
I did the edmentum
Use the original price and the markup to find the retail price.
Original price: $46; Markup: 10%
The retail price is $____
Please include work to ensure that you did not make up the answer for points.
Answer:
50.6
Step-by-step explanation:
46*.1=4.6
46+4.6=50.6
Write an equation of the line passing through point P(4, -6) that is perpindicular to the line y= -3.
Answer: y=1/3x - 22/3
Step-by-step explanation:
5% of 59 is what number?
Answer:
2.95
Step-by-step explanation:
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
2.95
5 x 59
-----------
100
= 2.95
Which expression is equivalent?
- 5(2x -3y +4)
Answer:
A
Step-by-step explanation:
An eight ft board is cut into two pieces. One piece is 2 ft longer thant he other. How long are the pieces?
Answer: 6 ft and 2 ft
Step-by-step explanation:
Answer:
6ft and 2ft
Step-by-step explanation:
8ft board ÷ 2 pieces = 4ft each
4ft and 4ft boards. But one of them is longer by 2ft so:
4ft - 2ft = 2ft
4ft + 2 ft = 6ft
So, one piece is 2ft and the other piece is 6ft
A square corner of 16 square centimeters is removed from a square paper with an area of 9x2 square centimeters. A square. Most of the square is shaded blue. In the bottom right of the square is a smaller square, outlined in a dashed line, and not shaded. Which expression represents the area of the remaining paper shape in square centimeters? (x – 7)(x – 9) (3x – 2)(3x – 8) (3x – 4)(3x + 4) (9x – 1)(x + 16)
Answer:
(3x - 4) (3x + 4)
Step-by-step explanation:
Area of the square paper = 9x^2 square centimeters
Area of the square corner = 16 square centimeters
The area of the square corner is removed from area of the square paper.
That is,
9x^2 - 16
Factorise by finding the square root of each term
9x^2
Square root of 9x^2 = 3x
Check:
3x * 3x = 9x^2
Square root of 16 = + or - 4
9x^2 - 16 = (3x - 4) (3x + 4)
Check:
(3x - 4) (3x + 4)
9x^2 + 12x - 12x - 16
= 9x^2 - 16
Answer:
hey guys lol its c on edg.
Step-by-step explanation:
A function goes through the point (-5,2). What point is the inverse of this function guaranteed to go through ?
the inverse function just changes the coordinates
if f goes through (a,b), then f^-1 must goes through (b,a)
Question 4(Multiple Choice Worth 3 points)
(03.01)
Which of the sums below can be expressed as 8(2 + 7)?
O2 +56
O 10 + 15
O 16 + 7
O 16 + 56
Answer:
16+56
Step-by-step explanation:
8(2 + 7)
=8*2+8*7
16+56
5 tomatoes divided into $3.10
Answer:
0.62
Step-by-step explanation:
3.1 divided by 5
.............................
HELP PLEASE!!! - Uranus is about 1.784109 miles from the Sun. About how far is Uranus from Mercury?
Answer:
About 1,749,638,696 miles.
Step-by-step explanation:
It might be incorrect so don't fully trust me.
:((((((((((((((((((
Answer:
132°
Step-by-step explanation:
Find the supplementary angle of 48°
To do this, subtract 48° from 180°
180 - 48 = 132°
Step-by-step explanation:
ABD = 180
[tex]180 - 48 = 132[/tex]
What is 4÷3/5 Options:6 6 2/5 6 2/3 8
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Can someone help with this question? Simplify -7+5
Answer:
-2
Step-by-step explanation:
Helps me solve this problem please
Answer:B.
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
13 candy bars weigh 39 ounces.what is the weight of 25 candy bars
Answer:
75 ounces
Step-by-step explanation:
39/13=3 so each candy bar weighs 3 ounces each so 25*3=75
Answer:
75 ounces
Step-by-step explanation:
39 divided by the amount of candy bars (13) is 3. Which means each candy bar weighs 3 ounces. So 3 times 25 is 75.
How many times would you expect the spinner to land on blue or red if you spun it 80 times? (Hint: set up a ratio table.)
Answer:
48 times
Step-by-step explanation:
Thank you come again