Answer:
12
Step-by-step explanation:
Step 1:
5 ( x - 6 ) = 2 ( x + 3 ) Equation
Step 2:
5x - 30 = 2x + 6 Multiply
Step 3:
3x - 30 = 6 Subtract 2x on both sides
Step 4:
3x = 36 Add 30 on both sides
Step 5:
x = 36 ÷ 3 Divide
Answer:
x = 12
Hope This Helps :)
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.
Suppose it was –5 degrees Celsius at 6:00 a.m. By noon, the temperature had Increased by 11 degrees. What was the temperature at noon?
Answer:
6
Step-by-step explanation:
11 - -5 = 6
The temperature at noon is 6 degrees Celsius.
GivenSuppose it was -5 degrees Celsius at 6:00 a.m.
By noon, the temperature had increased by 11 degrees.
What is temperature?Temperature declines as altitude increases.
The temperature at noon is calculated by adding the morning temperature and temperature in the afternoon.
The temperature in noon = temperature at 6;00 a.m. + increase in temperature in afternoon.
The temperature in noon = -5 + 11
The temperature in noon = 6 degrees.
Hence, the temperature at noon is 6 degrees Celsius.
To know more about Temperature click the link given below.
https://brainly.com/question/22618350
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)
6x + 1 = 6x - 8 what is the value of x
Answer:
No solution
Step-by-step explanation:
6x + 1 = 6x - 8
-6x -6x
1 ≠ -8
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
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.
HELP ASAP!!!!! I’ll give u brainlest
Answer:
first one (382,000)
Step-by-step explanation:
just multiply by 10^5
Answer:
382000
Step-by-step explanation:
3.82*100*1000=382*1000=382000
Complete the statement relating solutions and roote
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:
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#SPJ2
5 tomatoes divided into $3.10
Answer:
0.62
Step-by-step explanation:
3.1 divided by 5
.............................
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.
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
The number of bacteria in a Petri dish grows by 10 percent every hour. After the growth, about 100 bacteria die. Suppose there are 500 bacteria, how many bacteria are alive after 1 hour
Answer:
450 bacteria
Step-by-step explanation:
Find growth that comes from precentage.
a = pw
a = 1.10(500)
a = 550
Then kill 100 bacteria.
b = 450
ASAP
Can someone help me please
more information pls
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
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.
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
How much cents are in 12 quarterS answer fast!!!!
Answer: 300 cents or 3 dollars
Step-by-step explanation: 12x25=300.
Answer:
300 CENTS
Step-by-step explanation:
hope this helps
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 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
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)
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.
Find the area of the shaded region
Answer:
35
Step-by-step explanation:
Here, the shaded region is equal to the non-shaded triangle. To know why this is, look at the formula for a triangle: A = b*h/2. But if we look further, we also know that the area of a rectangle is A = b*h. So the area of a rectangle is twice that of a triangle. And this is always true as long as the dimensions are the same. So here, the shaded region is just (14*5)/2 which is 35. We can also find this out by calculated the area of a rectangle and minus the area of the rectangle.
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
Question 4
Which of the following statements is true (read each carefully!):
.
The square root of 30 is between 6 and 7.
• The square root of 41 is between 5 and 6.
The square root of 14 is between 3 and 4.
• The square root of 27 is between 14 and 15.
Answer:
The square root of 14 is between 3 and 4.
Step-by-step explanation:
The answer would be that because the square root of 14 is 3.74165738677. HOPE THIS HELPS! CAN I HAVE BRAINLIEST?!
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
I really need the answer to this plzzzzzz
Answer:
it may be c but im not usre
Step-by-step explanation:
:((((((((((((((((((
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]
Which expression is equivalent?
- 5(2x -3y +4)
Answer:
A
Step-by-step explanation:
Write the explicit formula for the arithmetic sequence 6, 8, 10, 12, . . . What is term number 46 in this sequence?
Answer:
Answer:
102
Step-by-step explanation: