Answer:
Below.
Step-by-step explanation:
1. 10^8 × 10^4 = 10(8+4) = 10^12.
2. (11^5)^4 = 11^(5*4) = 11^20.
3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.
4. (12^2) × 12^4 = 12^6.
5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.
6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.
7. 18^4 ÷ 18^6 = 18^-2.
8. (19^2)^4 ÷ 19^8 = 19^8 / 19^8 = 18^(8-8) = 18^0 = 1.
micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?
explanation is needed
The number of miles each person runs after an hour is;
Michael Anthony = 9 miles
Jocelyn = 8 miles
The person that runs the fastest is;
Michael Anthony with a speed of 0.15 miles per minute.
Michael-Anthony runs 3 miles in 20 minutes
Now formula for speed is;
Speed = distance/time
Thus;
Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute
Thus, in 1 hour = 60 minutes,
Distance covered = 3/20 × 60
Distance covered = 9 miles
Jocelyn runs 4 miles in 30 minutes
Speed of Jocelyn = 4/30 = 0.133 miles per minute
Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles
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Jillian was able to fill exactly 4 paper cups from 24 ounce bottle .At what rate how many cups can she expect to fill from a 66 ounces bottle?
Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60
Answer:
4 lipsticks
Step-by-step explanation:
15+15=30, 30+30=60
What is the perimeter, in meters (m), of ∆PRT?
The perimeter of a triangle is the sum of its dimensions
The perimeter of triangle PRT is 36 meters
Start by calculating the side length PT using the following equivalent ratios
[tex]\mathbf{QR : QS = PR :PT}[/tex]
So, we have:
[tex]\mathbf{3 : 8 = 6 :PT}[/tex]
Multiply 3 : 8 by 2
[tex]\mathbf{6 : 16 = 6 :PT}[/tex]
By comparing the ratios, we have:
[tex]\mathbf{PT = 16}[/tex]
So, the perimeter of triangle PRT is calculated using:
[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]
Substitute values for PR, RT and PT
[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]
Add up the figures
[tex]\mathbf{Perimeter = 36}[/tex]
Hence, the perimeter of triangle PRT is 36 meters
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M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M
Answer: M = [tex]\frac{x-2y}{x+y}[/tex]
Step-by-step explanation:
[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]
M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)
M (x + y) = x + 2y - 4y
M (x + y) = x - 2y (Divide (x+y) from both sides)
M = [tex]\frac{x-2y}{x+y}[/tex]
Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph
I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?
Answer:
Step-by-step explanation:
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
The circumference of a circle is 20pi m. find its diameter,in meters
Answer:
20 mStep-by-step explanation:
Circumference formula:
C = πdSubstitute and solve for d:
20π = πdd = 20π/πd = 20A middle school has 212 people. 188 are students. The rest are adults. What is the ratio of students to adults? Write your ratio in three different forms.
Answer:
24 adults
Step-by-step explanation:
because it's just subtract 212-188=24
I think
In the equation y=14x what is the constant of proportionality.
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
The slope of this line is y=3x-3
Step-by-step explanation:
(I'm not sure but is the line on the point(1,0)? or is it past that point?)
If y + 6 = 45, then y = 39
Answer:
True!
Step-by-step explanation:
Find the area of a circle with a circumference of
units.
This is the formula for circumference of circle
-9y + 8(4z + 3y) -6x
PLZ HELP
Answer:
15y + 32z - 6x
Step-by-step explanation:
-9y + 8(4z + 3y) -6x
=> -9y + 32z + 24y - 6x
=> 15y + 32z - 6x
Hoped this helped.
The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.
The 100th even natural number is 200
Given the sequence 2, 4, 6, 8, 10....
The nth term of the sequence is expressed as:
Tn = a + (n - 1)d
a is the first term = 2
d is the common difference = 4 - 2 = 6 - 4 = 2
n is the number of terms
Substitute the given parameters into the formula
Tn = 2(n-1)2
Tn = 2+(2n - 2)
Tn = 2n
Get the 100th term
T10= 2(100) = 200
Hence the 100th even natural number is 200
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Answer:
1)
200
2)
10100
3)
less than
Step-by-step explanation:
on god
Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
Answer:
y = - 4 x + 20
Step-by-step explanation:
The trail is 20 miles
Each hour you go 4 miles, so you subtract that each hour
HELP PLZ !!
The graph of f(x) = 7^x is stretched vertically by a factor of five. Which of the following is the equation of the new graph, g(x)
Answer:D
Step-by-step explanation:
Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?
answer dis please
Aiko3han owo
Answer:
b
Step-by-step explanation:
6. (4. 1) and (1, 4) are on the line
Answer: This is used by
Step-by-step explanation:
3w-4z=8
2w+3z= -6
What is w and z for these two equations?
What is 1+1?
I really need this answer i dont know it
Answer:
2
Step-by-step explanation:
Find a job that uses trigonometry. Include an image depicting the job and a description of how the trigonometric concepts learned in this module are used in the job.
Engineering
In engineering you need to determine the structure of shapes, buildings.The distance from base to building top total length of carpets,the settings of CCTV cameras for perfect view you need trigonometric functions like sin ,cos,tan etc(Picture provided)
Helppppppp plsss
Answer:
100 degrees
Step-by-step explanation:
at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.
FOR A BRAINLIST PLS HURRY
Answer:
y = x
Step-by-step explanation:
line has a slope 1 and passes through the origin . So the equation is y = x
Miko wants to build a toy
box for her sister. It is to be 2 feet high,
and the width is to be 3 feet less than its
length. If it needs to hold a volume of
80 cubic feet, find the length and width
of the box.
Answer:
kk
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answer:
4
Step-by-step explanation:
yeah-ya........ right?
The perimeter of the triangle is 2(12c - 7).
What is a triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.
What is the perimeter of the triangle?Perimeter = 7c - 5 + 7c - 5 + 10c - 4
24c - 14
2(12c - 7)
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B. Company P calculates the earnings of employee, E, for working h hours using the equation E = 8.25h.
Answer:
Step-by-step explanation:
The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?
The distance from Jason's house to school is
meters.
Answer:
900 meters
In 0.9 move the decimal two times to the right
That makes it 900 meters
simplify 2 by 5 into 4 by 7 + 21 by 35
[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]
Answer:[tex] \frac{29}{35} [/tex]
Hope it helps.
Do comment if you have any query.
