Hey there! I'm happy to help!
When multiplying numbers with exponents, all you do is add the exponent numbers, so 5^12×5^8=5^20.
A is not equal to this.
B is also not equal to this. B is 25^20.
C is wrong as well. It is 5^5.
This leaves us with D, which does evaluate to 5^20. If you raise a power to a power you multiply the exponent numbers, and 5(4)=20.
The answer is D. (5^5)^4.
Have a wonderful day! :D
5^12 * 5^8
5^12+8
5^20
The only option that is equal to that is D.
(5^5)^4
5^5*4
5^20
Best of Luck!
consider the equation 3a+0.1n=123 if we solve this equation for n which equation would result.
Answer:
[tex]n = 1230 - 30a[/tex]
Step-by-step explanation:
Given
[tex]3a + 0.1n = 123[/tex]
Required
Solve for n
[tex]3a + 0.1n = 123[/tex]
Subtract 3a from both sides
[tex]3a - 3a + 0.1n = 123 - 3a[/tex]
[tex]0.1n = 123 - 3a[/tex]
Divide through by 0.1
[tex]n = \frac{123 - 3a}{0.1}[/tex]
Split the fraction
[tex]n = \frac{123}{0.1} - \frac{3a}{0.1}[/tex]
[tex]n = 1230 - 30a[/tex]
2.23 reapting (2 and 3) decimal as a fraction
Answer:
221/99
Step-by-step explanation:
2.23 repeating equals x
223.23 repeating equal 100x
subtract x from 100x and you get 99x=221
divide by 99 on both sides of the equal sign and you get x=221/99
Witch is greater 6.41 or 6.38
Answer:
6.41
Step-by-step explanation:
if u subtract 6.38 from 6.41 you have .03 left over.
Answer:
6.41
Step-by-step explanation:
6.41 is a greater number
Leslie cobar's piggy bank 36 coins. Some are quarters and rest are half - dollars. If the total vaule of the coins is $14.75, how many of each of denomination does Leslie have?
Answer:
Leslie has 13 quarters and 23 half-dollars.
Step-by-step explanation:
You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:
x+y=36 (1)
0.25x+0.50y=14.75 (2), where:
x=amount of quarters
y=amount of half-dollars
First, you can isolate x in (1):
x=36-y (3)
Then, you can replace (3) in (2):
0.25(36-y)+0.50y=14.75
9-0.25y+0.50y=14.75
0.25y=5.75
y=5.75/0.25
y=23
Finally, you can replace the value of y in (3) to find the value of x:
x=36-23
x=13
According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.
One cell phone company offers a plan that costs $28.99 and includes unlimited night and weekend minutes. Another company offers a plan that costs $16.99 and charges $0.35 per minute during nights and weekends. For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan?
plan1 = 29.99
plan2 =19.99 + .35m
plan2 > plan1
19.99 + .35m > 29.99
.35m > 29.99-19.99
.35m > 10
m > 10/.35
m > 28.6 minutes
it will cost more if you exceed 28 minutes
Answer: the correct answer would be 35 minutes
When 1580 is divided into 13 equal parts, the remainder is 7. What is a correct way to write the quotient? 121.7 121 + 7 1217 over 1580 1217 over 13
Answer:
121.54
Step-by-step explanation:
1580÷13=121 r 7
7 over 13 is 0.538462
rounded off to 2 decimal places:0.54
so 121+0.54
121.54
For a regular 15-sided polygon, what is the degree of rotation? Enter your answer in the box.
Answer:
24
Step-by-step explanation:
i just took the test :)
The degree of rotation will be equal to 24°.
It is given that we have a regular 15 sided polygon.
We need to find out the degree of rotation for it.
What is the formula to determine degree of rotation ?
The formula of degree of rotation is given by Degree of rotation = 360° / Number of sides.
As per the question ;
We have a regular 15 sided polygon.
or
No. of sides of regular polygon = 15
We know that ;
Degree of rotation = 360° / Number of sides
⇒ Degree of rotation will be equal to ;
= 360° / 15
= 24°
Thus , the degree of rotation will be equal to 24°.
To learn more about degree of rotation click here ;
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is 6.2 rational or irrational
Answer:
irrational
Step-by-step explanation:
Answer:
Rational.
Step-by-step explanation:
If a number is rational it can be expressed in a fraction [tex]\frac{x}{y}[/tex] where x and y are integers.
[tex]6.2=\frac{62}{10} = \frac{31}{5}[/tex]
Since 6.2 can be expressed in a fraction, it is rational.
Newman is building a patio. He estimates that he can install 8 square feet of paver bricks every quarter-hour. How many square feet does Newman install per hour?
Answer:
32 square feet
Step-by-step explanation:
From the above question, we know that: for Newman:
8 ft² = 1/4hour
x ft² = 1 hour
We Cross Multiply
8ft² × 1 hour= x ft² × 1/4hour
xft² = 8ft² × 1 hour/1/4 hours
x ft² = 32 ft²
Therefore, Newman installs 32 square feet per hour
simplify the expression below.
(3-13)²+14/4²-5·2
Can anybody help me with this bellwork?
Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
1. How long will it take manny to travel 9 miles
2. How long will it take manny to travel 10 miles?
Answer:
1. 30 minutes to walk 9 miles.
2. 33.33 minutes to walk 10 miles.
Step-by-step explanation:
I divided 20 by 6, and got 3.33. If you multiply 3.33 by 9 you get 30, and if you multiply 3.33 by 10 you get 33.33.
5. Why do valid straightedge and compass moves guarantee everyone will produce the same construction?
Answer:
The reason a valid straightedge and compass moves guarantees everyone will produce the same construction is that constructions involving the use of straightedge and compass comprises of a total of five fundamental constructions that are formed with the already constructed points, circles or lines such as the following;
1) Construction of a line that passes through given points
2) Construction of a through a given point and center
3) Creating the point of intersection of two given nonparallel lines
4) Constructing the points of intersection between a line and a circle
5) Constructing the points of intersection of two circles
Due to the limited number of types of construction, following clearly defined steps of construction, ensures that the same construction is produced by everyone
Step-by-step explanation:
PLEASE HELP 10 POINTS
r - I0 = -(10 - r)
Answer:
Infinite Number of Solutions
Step-by-step explanation:
[tex]r-10=-(10-r)\\\\r-10=-10+r\\\\r-10+10=-10+10+r\\\\r=r\\\\r-r=r-r\\\\\boxed{0=0}[/tex]
The sides are even. There are an infinite number of solutions.
Maggie's brother is 3 years younger than four times her age. The sum of their ages is 62. How old is Maggie? Maggie is years old.
Answer:
Maggie is 13 years old.
Step-by-step explanation:
1M + 1B = 62
rearrange to get:
1B = 62 - 1M
4M - 3 = 1B
substitute B with 62 - 1M so there is only one variable. this gives:
4M - 3 = 62 - 1M
Get all the variables on one side:
4M + 1M - 3 = 62
Get all non variables on the other side:
4M + 1M = 62 + 3
simplify:
5M = 65
Divide both sides by 5 to get the M by itself:
M = 13.
BONUS:
M + B = 62
B = 49
So her brother is 49 years old.
Maggie is 13 years old.
I am having issues with the equations (7^-6)^10
Suppose point D is in the interior of ∠ABC
, m∠ABC=12x−110
, m∠ABD=3x+40
, and m∠DBC=2x−10
. W
Answer:
[tex]ABC = 130[/tex]
Step-by-step explanation:
Given
[tex]ABC=12x - 110[/tex]
[tex]ABD=3x+40[/tex]
[tex]DBC=2x - 10[/tex]
Required
Determine the measure of ABC --- Missing part of the question
First, we need to determine the value of x
Since, D is an interior of ABC, then
[tex]ABC = ABD + DBC[/tex]
[tex]12x - 110 = 3x + 40 + 2x - 10[/tex]
Collect Like Terms
[tex]12x - 3x - 2x = 110 + 40 - 10[/tex]
[tex]7x = 140[/tex]
Solve for x
[tex]x = 140/7[/tex]
[tex]x = 20[/tex]
Substitute 20 for x in [tex]ABC=12x - 110[/tex]
[tex]ABC = 12 * 20 - 110[/tex]
[tex]ABC = 240 - 110[/tex]
[tex]ABC = 130[/tex]
If cyanide in a stream next to a gold mine increases from 240 ppm to 360 ppm, what percent increase is this?
Given :
Initial concentration , 240 ppm .
Final concentration , 360 ppm .
To Find :
Percent increase.
Solution :
Percentage increase is given by :
[tex]=\dfrac{Final-Initial}{Initial}\times 100\\\\=\dfrac{360-240}{240}\times 100\\\\=50\%[/tex]
Therefore , percent increase is 50 % .
Hence , this is the required solution .
1/9divided by 2/5
I need the work will it to how to do it step by step Ik it sounds dumb but I need help.
Answer:
5/18
Step-by-step explanation:
first you want to flip 2/5 to 5/2 and change the division sign to multiplication so it would look like 1/9 x 5/2
then multiply 1 and 5 then 9 and 2 so the top and bottom to get 5/18
side note: but if it were 1/9 x 3/7 you would change the 3 to a 1 and the 9 to a 3 because they multiply so ask yourself how many times does three go into 9 so it would be 1/3 x 1/7= 1/21
hope this helped :) also what math are you taking bc if it is under algebra 1 or something i can help with any questions you have just message me and ill be happy to help :)
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer: 12.32 for 5 day week or 8.8 for a seven day week
Step-by-step explanation:
2.2 x 28 = 61.6
61.6 divided by 5 is 12.32
divide by seven if its a full week and the answer is 8.8
How would the graph change if the b value in the equation is decreased but remains greater than 1?
Answer:
-The graph will increase at a slower rate.
-The y-values will continue to increase as x-increases
hope this helped
please give brainlist
h = 5a
Need to know what a =
Answer:
a=h/5
Step-by-step explanation:
h=5a
divide both sides by 5
a=h/5
Answer:
Step-by-step explanation:
5a = h
a = h/5
−14x −45=613 what is x?
Answer:x= -47
Step-by-step explanation:
-14x-45=613
-14x = 658
x = -47
Answer:
x= -47 i'm sure i did it right but tripple check it for me
Step-by-step explanation:
add 45 to both sides
divide both sides by -14
x= -47
• Start with the number 16
• Round to the nearest ten
• Divide by the number in 2 pairs
• Add -5
• Increase by 1
What is your number?
Answer:
6
Step-by-step explanation:
Start with the number 16
16
• Round to the nearest ten
since 6 is greater or equal to 5 round 1 to 2
20
• Divide by the number in 2 pairs
Divide by 2
10
• Add -5
10 + -5 = 5
• Increase by 1
5+1 = 6
Answer:
6
Step-by-step explanation:
1. 20
2. 10
3. 5
4. 6
Hope this helps! :D
find the greatest 4 digit number which becomes divisible by 24 and 28 when 100 is added to it
Answer:
9912 is the biggest 4 digit number divisible by 24 and 28.
Step-by-step explanation:
Answer:
9812
Step-by-step explanation:
To find it, you start with the prime factors of 24 and 28 to find the lowest common multiple, which is 168.
Any multiple of 168 will also be a multiple of 24 & 28.
I hope it helps you.....
Tell whether 948 can be divided evenly
(is divisible) by 4.
Answer:
yes
Step-by-step explanation:
948 ÷ 4 = 237
Answer:
yep
Step-by-step explanation:
948/4=237
check: 237x 4=948
What is the slope of the line ?
Answer:
2,3
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
Taking the point at (1, -3) and (3, 0) and getting the rise-over-run will give you the answer. 0 - (-3) = 3 for rise, and 3 - 1 = 2 for run.
what is the p value definition
Answer:
statistics, the p-value is the probability of obtaining results as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct. ... A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.
the coordinates of point T are (0,4). The midpoint of ST is (6,-7). Find the coordinate of point S
Answer:
Step-by-step explanation:
(x + 0)/2 = 6
x + 0 = 12
x = 12
(y + 4)/2 = -7
y + 4 = -14
y = -18
(12, -18)
The coordinate of the point S will be (12,-18).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line.
Given that the coordinates of point T are (0,4). The midpoint of ST is (6,-7). The coordinates of the point S will be calculated as below:-
The x-coordinate is calculated as below:-
(x + 0)/2 = 6
x + 0 = 12
x = 12
The y-coordinate is calculated as below:-
(y + 4)/2 = -7
y + 4 = -14
y = -18
Therefore, the coordinate of the point S will be (12,-18).
To know more about Coordinate geometry follow
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Connor bought a baseball card eight years ago that has depreciated by $120 since he purchased it. Find the average yearly change in the value of the card.
Answer:
It decreased in value by $15 a year.
Step-by-step explanation:
I put it in the form of an equation and solved from there.
120/8=x
3. How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2 if you worked 6 hours per day for 5 days each week?
Answer:
see below
Step-by-step explanation:
3.) How much money would you earn in three months (assume 4 weeks in each month) at each of the jobs you listed in #2
if you worked 6 hours per day for 5 days each week?
-------------------------------------
1. dog walking:
6 hr/day (5 day) x (4 weeks x 3 months) x $30/hour
$10,800 in 3 months
-------------------------------------
2. private swim instructor
6 hr/day (5 day) x (4 weeks x 3 months) x $20/hour
$7,200 in 3 months
-------------------------------------
3. sandwich maker
6 hr/day (5 day) x (4 weeks x 3 months) x $16.75/hour
$6,030 in 3 months
