Answer:
-x
Step-by-step explanation:
-6+[4-(x-2)]
Distribute the minus sign
-6+[4-x+2]
Combine like terms
-6+4 +2 -x
-x +0
-x
The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?
Divide the perimeter by 2:
6x + 4 / 2 = 3x+2
This is one length plus one width.
Now subtract the width to find the length:
3x +2 - x-1 = 2x+ 3
Length is 2x+ 3
Answer:
2x+3 or C
edge2021
What is the sum of the measures of the interior angles of this polygon? A 5-sided figure. 270 degrees 450 degrees 540 degrees 900 degrees
Answer:
540 degrees
Step-by-step explanation:
Answer:
the correct answer is C 540 degrees
Step-by-step explanation:
2^5x=6 rounded to the nearest hundredth
I think that the answer would be 0.52 if you round it
On a coordinate plane, a circle is centered at (5,5) and a triangle is centered at (-3,5). What is the distance between the centers of the circle and triangle?
The shapes don't really play a role in this story, do they. Both points are on the horizontal line y=5 so the distance between them is the absolute difference of the x coordinates, 5- -3 = 8
Answer: 8
The distance between the centers of the circle and triangle is 8.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
Where (a, b) and (c, d) are the two points.
We have,
The centre of a circle = (5, 5)
The centre of a triangle = (-3, 5)
Consider (a, b) = (5, 5) and (c, d) = (-3, 5)
The distance between the centre of a circle and the centre of the triangle.
= √(-3 - 5)² + (5 - 5)²
= √(64 + 0
= √64
= 8
Thus,
The distance between the centres is 64.
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If a ball rotates 110 degrees in 8 seconds, how many degrees does it rotate in 32 seconds?
On a map, 1 inch equals 5 miles. Two cities are 8 inches apart on the map.
Answer:
The distance in miles that the cities are apart is 40 miles
Step-by-step explanation:
To get from 1 inch to 8 inches, you multiply by 8. This means you multiply 5 miles by 8 to get 40 miles.
Answer:40 miles
Step-by-step explanation:
because 1 inch is 5 miles and the cities are 8 miles apart so 8x5=40.
If p- is equal to 0.82, then q - is equal to
A. 0.82
B. 0.50
C. 0.35
D. 0.18
Express 80 as a product of prime numbers
Answer:
2 * 2 * 2 * 2 * 5
Step-by-step explanation:
Answer:
2^4*5 OR 2*2*2*2*5
Step-by-step explanation:
using prime factorization
factors of 80 are 10*8 then factor 8 and 10 and so on until you are left with all prime numbers.
Hope this helps!
LAST PROBABILITY QUESTION!!:
Whoever gets correct, will get marked brainliest!
Answer:
7/21
Step-by-step explanation:
Answer:
1/729
Step-by-step explanation:
Just multiply 3 for the amount of rounds there are (6) so 3^6 is equal to 729
On Your Own
phone store makes $15 per hour plus a commission
cales This week she sold 40 phones averaging $450
4. An employee at a cell phone store makes $15
of 2.5% of her phone sales. This week she sold
each. What is her commission this week?
(i need the explanation)
An employee at a cell phone store sold 40 phones for $450 each, totaling $18,000 in sales. Based on her commission rate of 2.5%, she earns $450 in commission for the week.
Explanation:The subject of this question is how to calculate the employee's commission based on her sales. First, we need to calculate the total sales the employee made. She sold 40 phones at $450 each, so her total sales would be 40 * $450 = $18,000.
Next, we need to figure out what 2.5% of her total sales is because this is her commission rate. The calculation would be $18,000 * 2.5/100 = $450.
So, the employee's commission for this week is $450.
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A radioactive isotope, selenium, used in the creation of medical images of the pancreas,
has a half-life of 119.77 days. If 100 milligrams are given to a patient, how many milligrams
are left after 20 days?
7.
The Lualailua Hills Quadrangle of the East Maui (Haleakala) volcano on the island of
Maui in Hawaii is no longer active. To find out the date of the last eruption, scientists
conducted a chemical analysis of samples from the volcano area. The samples
contained approximately 62.31% of its original carbon-14. How long ago was the last
eruption of the volcano? (Use 5730 years for the half-life of carbon-14.)
Answer:
First problem: 89.07 grams
Second problem: 3910.15 days
Step-by-step explanation:
We can solve these problems with the exponencial equation:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the time.
In the first problem, the half-life is 119.77 days and Po = 100, so we have that:
P = 100 * (1-0.5)^(t/119.77)
So after 20 days, we will have:
P = 100 * (1-0.5)^(20/119.77) = 89.07 grams
For the second problem, we have the half-life of 5730 days, and the final value over the inicial value is 62.31%, so:
P/Po = (1-0.5)^(t/5730)
0.6231 = 0.5^(t/5730)
log(0.6231) = log(0.5^(t/5730))
-0.4730 = (t/5730)*log(0.5)
-0.4730 = (t/5730)*(-0.6931)
(t/5730) = 0.6824
t = 0.6824 * 5730 = 3910.15 days
Using the formula for half-life calculation, approximately 82.57 milligrams of Selenium left after 20 days. Based on the amount of Carbon-14 left, the last eruption of the volcano occurred approximately 3896 years ago.
Explanation:The calculation of remaining amount of a given isotope relies on the understanding of what is called a half-life. In the case of selenium, with a half-life of 119.77 days, we are looking at 20 days had passed. This would be a fraction of the half-life (20/119.77 = 0.167). The amount left can be calculated by the formula N = N0 * (1/2)^(t/T), where N is the final amount, N0 is the initial amount, t is the elapsed time, and T is the half-life. This becomes 100 * (1/2)^(0.167) which results in approximately 82.57 milligrams of Selenium left.
For the interval of carbon-14 relating to the volcano eruption using a half-life of 5730 years, we know from the sample that 62.31% of the original amount remains. This relates to 0.623 as the fraction of half life that has passed. Using the formula log2(1/0.623) we get approximately 0.68 half-lives. From this, we can find the time passed, which is half-life times the number of half-lives. This results in 5730 * 0.68 = approximately 3896 years ago for the last eruption.
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find the missing angle. x=?
Answer:
Here we can see they are vertically opposite angles so x = 35°
x=35
bcoz they are vertically opposite angles.
As we know vertically opposite angles are equal.
The sum of two-sevenths of a number and 3 is 9. Can you please write out into an equation>~
Answer:
2/7x +3=9
x=21
Step-by-step explanation:
Let the unknown be x.
Take 3 to the other side so: 2/7 multiplied by x= 6
Divide 6 by 2/7 to get the answer;
Therefore x=21
Sub back into equation to check answer.
Answer:
The equation is: 2/7x + 3 = 9
The unknown number is: 21
Step-by-step explanation:
Write as an unknown value (using a variable)
2/7ths of a number = 2/7x
Write as an equation
2/7x + 3 = 9
Subtract 3 from both sides of the equation
2/7x = 6
Divide both sides of the equation by 2/7
x = 21
The equation is: 2/7x + 3 = 9
The unknown number is: 21
Hope this helps :)
The present population of a town is 3125. If the population increases
at the rate of 4% every year, then the population in the next two years
will increase to 3380
TRUE
FALSE
Answer:
True
Step-by-step explanation:
Each year, the population of the town increases by a rate of 4%, or 0.04.
In order to find the answer, you need to multiply the population of that year by 1.04. 1.04 is used in order to add the 4% to the overall total.
At the end of the first year, the population is 3250. (3125 x 1.04)
At the end of the second year, the population is 3380. (3250 x 1.04)
ILL MARK THE MOST BRAINLIEST!!!
Given the equation square root of quantity 3x minus 2 end quantity equals 4, solve for x and identify if it is an extraneous solution.
6; solution is extraneous
6; solution is not extraneous
two thirds; solution is extraneous
two thirds; solution is not extraneous
Answer:
6; solution is not extraneous
Step-by-step explanation:
[tex]\sqrt{3x-2} =4[/tex]
[tex](\sqrt{3x-2})^{2} = (4)^2[/tex]
[tex]3x-2= 16[/tex]
[tex]3x = 18[/tex]
[tex]x =6[/tex]
[tex]\sqrt{3(6)-2}=4[/tex]
[tex]\sqrt{18-2}=4[/tex]
[tex]\sqrt{16} =4[/tex]
[tex]4=4[/tex]
6; solution is not extraneous
because 4 is equal to 4, an extraneous answer would be the correct answer given, however when you plug it into the equation it is not equal
PLZ HELP
Solve the system of equations.
A) x = 0, y = 3 C) x = 1, y = -2
B) x = 3, y = 0 D) x = -2, y = 1
Answer:
x = 3, y = 0
Step-by-step explanation:
2x - 2y = 6
x - y = 3
x = 3 + y
3(3 + y) + 2y = 9
9 + 3y + 2y = 9
5y = 0
y = 0
x = 3 + 0
x = 3
please help I am very confused xD
There are 3 red out of 7 total so red will be 3/7
There are 4 blue out of 7 total so blue will be 4/7
After he picks one he puts it back so every red will be 3/7 and every blue will be 4/7
B) multiply the probability of picking a red one by the probability of picking a red one again:
3/7 x 3/7 = 9/49 probability of picking 2 red ones.
please hurry solve for c in the diagram in the picture!
Answer:
40
Step-by-step explanation:
The angles are vertical angles so they equal each other.
So 3x=120 divide each side by 3 to get x by itself
So x is 40
Choose yes or no to tell whether the expression represent a 20% discount off the price of an item that originally cost d dollars
A. 0.8d
B. d - 0.2
C. d - 0.2d
D. 1 - 0.2d
Answer: B. d - 0.2
Step-by-step explanation: 20%= 20/100= 0.2
Which means = d-0.2
Hope this helped.
Answer:
B: d- 0.2
Step-by-step explanation:
Find the simple interest rate per annum on $22,000, if at the end of 3 years the interest is equal to $6000
Answer:
9.09 %
Step-by-step explanation:
1). 6000 / 3 = 2000 $ interest per year
2). 2000 / 22 000 = 9.09 %
Ana's class packs lunches for the local shelter. They make the same number of sandwiches each minute. In 5 minutes, the class makes 20 sandwiches. At this rate, how many sandwiches does the class make in 32 minutes?
Answer: 128
Step-by-step explanation:
Yo girl needs help please
Answer:
13
Step-by-step explanation:
f(x) = 10/2 + 8 = 5 + 8 = 13
Look at the attached picture⤴
Hope it will help u...
The distance d in meters, that a rabbit runs in s seconds is represented by the equation d=11s. What is the
constant of proportionality (unit rate) of d to s?
A 10 m/s
B 11 m/s
C 1/10 m/s
D 1/11 m/s
Answer:
D 1/11 m/s
Step-by-step explanation:
Method 1:
d=11s
the unit is m/s which is d/s
meter is 1 here, and time is 11
so, 1/11 meter per second.
Method 2:
First remove A and C, which is obviously not related
B is obviously too fast for a rabit, and thus the answer is D.
What is the length of segment NQ?
PLEASE help????????????
Answer:
A:(2m^4n^3)^3(5m^4n^3)^2
Step-by-step explanation:
What is the exact area of a circle with a radius of 12 ft
Answer:
The area is approximately 453 ft²
Step-by-step explanation:
Area of a circle = [tex]\pi r^{2}[/tex]
If [tex]\pi[/tex] = 22/7, and r = 12 ft
Area = (22/7)×12²
= 3.143*144
= 452.592 ft²
≈ 453 ft²
What’s the answer???
Answer:
The answer is A, 14 inches.
a triangle has an area of 16 feet squared and a height of 4 ft. finds its base
Answer:
Base = 8 feet
Step-by-step explanation:
[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ 16 = \frac{1}{2} \times base \times 4 \\ 16 = base \times 2 \\ base = \frac{16}{2} \\ base = 8 \: feet[/tex]
If a great white shark swam 24.9 miles per hour for 8 hours, how far did it swim?
Answer:
199.2 miles
Step-by-step explanation:
Make a proportion
24.9/1=x/8
Cross multiply
x=199.2
So the shark swam 199.2 miles
Hope this helps! :)
A code on a student ID card begins with 3 letters and ends with 5 digits. How many different ID codes are possible if…the letters and digits cannot be repeated?
Answer:
The total number of combinations is 2,358,720,000
Step-by-step explanation:
For the letter part of the ID we have 3 letters out of a space of 26 possible letters (a-z), and they can't repeat. For the number part we want to group 5 numbers out of 10 possible algarisms (0-9).So we can make an arrangement for the letters and one for the numbers and multiply them. The arrangment can be done using the following formula:
A(n,k) = (n!)/(n-k)!
Where n is the total number of possibilities and k is the size of the group.
For the letters:
A(26,3) = (26!)/(26-3)! = (26!)/(23!) = (26*25*24*23!)/(23!) = 26*25*24 = 15600
For the numbers:
A(10,5) = (10!)/(10 - 5)! = 10!/5! = (10*9*8*7*6*5!)/(5!) = 10*9*8*7*6*5 = 151200
The total number of combinations is the product of both, so:
combinations = 15600*151200 = 2,358,720,000