Answer:
As per the question, Peter can finish twice as much work as finished by Tom in a given duration of time. of their one day work will be completed by Tom. So, Tom will take 48 days to complete the task
Step-by-step explanation:
Let Tom alone take 2x days
Peter alone will take x days
Together in 1 day they do 1/x + 1/2x = 1/16
3/2x = 1/16
2x = 48
ANSWER Tom takes 48 days and Peter takes 24 days
CHECK
1/48+1/24 = 3/48= 1/16
The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain
Answer:
P = 4(2x + 5)
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Step-by-step explanation:
Given that:
Perimeter of square = 4 * s
Where s = side length
If perimeter, P = 8x + 20
Then,
4s = 8x + 20
Divide both sides by 4
4s / 4 = (8x + 20) / 4
s = 2x + 5
P = 4s
P = 4(2x + 5)
Or
P = 2x + 5 in 4 places
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.
Answer:
[tex]3x+5y[/tex]
Step-by-step explanation:
Subtract (6x-3y) from (9x+2y):
[tex](9x+2y)-(6x-3y)[/tex]
This can also be seen as:
[tex](9x+2y)-1(6x-3y)[/tex]
Distribute the -1 to (6x-3y):
[tex](9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y[/tex]
Simplify the parentheses:
[tex]9x+2y-6x+3y[/tex]
Group like terms:
[tex](9x-6x)+(2y+3y)[/tex]
Combine:
[tex]3x+5y[/tex]
This expression can't be further simplified. Therefore, 3x+5y is the answer.
:Done
Write the expression using only positive exponents. Assume no denominator equals zero.
4y^-2
Answers: none of these
-8y^2
1/4y^2
16y^2
4/y^2
Answer:
The answer is
[tex] \frac{4}{ {y}^{2} } [/tex]
1 Find the x-intercept as a point (x,y).
I'm not quite sure what to do can someome please help me quick. I'll make brainliest
Answer:
x,0
Step-by-step explanation:
x-intercept just means where the line crosses the x axis. the x-intercept is x,0
Answer:
X intercept is ( -1 , 2)
Step-by-step explanation:
Please can you help me with this triganometry question (*^_^*)
Answer:
I have given the rules and a sheet that should help you with this question :)
Step-by-step explanation:
I will give you the rules to help you figure it out...
So/h
^
Sin (°) = opposite/hypotenuse
Ca/h
^
Cos (°) = adjacent/hypotenuse
To/a
^
Tan(°) = opposite/ adjacent
Hope this helps :)
Heng tried to define a reflection across line r.
Any point M not on the line of reflection maps to a point M' such that the midpoint L of M→M' is on line r.
Which counterexample shows that Heng's definition does not fully define a reflection?
The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D
How to determine the counterexampleConsider the counterexample in which point M is above line r and the line itself is a vertical line.
Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.
However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.
Learn more about reflection at: https://brainly.com/question/1908648
#SPJ1
7th grade please solve the problem above. Write a paragraph explaining how you found the solution you must include each step for solving please!!!
Answer:
x=0
Step-by-step explanation:
You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.
Using The graph below identify the axis of symmetry for the parabola below 
Answer:
x=-3
Step-by-step explanation:
The axis of symmetry is the line that separates a parabola directly in half. It is measure on x axis because it is being split in terms of that number. Next, you identify the origin and find exactly where the parabola is in half and that is your answer. Another way to do this would be to identify the vertex of the parabola. The answer is the x coordinate of the location of the vertex. (The highest point of a parabola.)
In rectangle LONG, LN = 40 and ON=24. Find LO.
Answer: LN 40
Step-by-step explanation: Because thin of the answers and how to do it
Answer: LN 40
Step-by-step explanation:
How to tell the difference between multiplication and division word problems?
Answer:
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication
Angles 1 and 2 are complementary. If Angle 1 measures 29.6º, then what is the measure of Angle 2? º
Answer:
60.4 degrees
Step-by-step explanation:
Complementary angles are 2 angles that add up to the sum of 90 degrees.
90-29.6=60.4 degrees
Hope this helps!
Answer: 60.4 degrees
Step-by-step explanation:
What is the probability of NOT choosing a 4?
9/16
7 of the squares are 4 so we just substract that from the total of 16 and we get 9
Please help! Will mark brainliest when I get the results back ;)
Answer:
13.7ft^2
Step-by-step explanation:
Area for triangle:
The formula for the area of a triangle in this scenario is area=(b*h)/2
The base length is 3.6ft and the height is 4.8ft. We can now substitute these values into the equation. So:
area=(3.6*4.8)/2
area=8.64ft^2 for the triangle
Area for semi-circle:
The formula for the area of a circle is area=pi*r^2. To find the area of the semi-circle, we can half the area of the circle at the end.
The question says to use 3.14 for the value of pi.
The diameter is given as 3.6ft, so to find the radius, we simply divide the diameter by 2; so 3.6/2=1.8ft for the radius
Now, we can just substitute these values into the equation above. So:
area=3.14*(1.8)^2
area=3.14*3.24
area=10.1736ft^2 (DO NOT ROUND THIS ANSWER!!).
However, this area is for the COMPLETE circle. We want the area for the semicircle shown above. Therefore, divide the circle area by 2. So:
10.1736/2=5.0868ft^2 for the semicircle.
Total area of shape
Now we have the area of the two separate shapes, we can simply add them together. So:
8.64ft^2 + 5.0868ft^2 = 13.7268ft^2 altogether (unrounded)
Now, finally we must round to 1/10, or to 1 decimal place. Therefore, the final value for the area would be 13.7ft^2.
Hope this helped!!
Ethan and Bob are having a skateboard race. Ethan began at the starting line
and rode at a constant rate of two feet per second. Bob had a fourteen-foot
head start and rode three feet every five seconds.
What's is the linear equation
Answer:
aa
Step-by-step explanation:
aa
Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm)
Answer: 50.24 cm²
Step-by-step explanation:
ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM
The formula for the area of a circle is pi(3.14) * r(4)^2
[tex]3.14*4^2[/tex]
[tex]3.14*16[/tex]
[tex]50.24[/tex]
Hope it helps <3 :D
Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9
Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)
[tex]x=9[/tex]
Now,
[tex]CD=2x[/tex]
[tex]CD=2(9)[/tex]
[tex]CD=18[/tex]
And,
[tex]CE=CD+DE[/tex]
[tex]CE=18+9[/tex]
[tex]CE=27[/tex]
Therefore, the measure of CD is 18 units and the measure of CE is 27 units.
The measure of CD and CE are 18 and 27 respectively
From the given diagram, the following are true:
CD = 2DEGiven that DE = 9
CD = 2(9)
CD = 18
Similarly;
CE = CD + DE
CE = 18 + 9
CE = 27
Hence the measure of CD and CE are 18 and 27 respectively
Learn more on centroid here: https://brainly.com/question/25845737
Can somebody give the answer pls
Answer: OOO I KNOW THE FOURTH ONE
Step-by-step explanation: y^2 + z^2 = x^2
Answer:
D
Step-by-step explanation:
According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words
[tex]y^{2} + z^{2} = x^{2}[/tex]
Which table shows equivalent ratios between the values of x and y?
Answer:
Option C
Step-by-step explanation:
The y values are 2.5 times the x value. Only graph 3 shows the correct numbers.
Hope it helps!
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP
Answer:
156 dollars
Step-by-step explanation:
please with full explanation please it's urgent
Answer:
u have some very good handwriting
Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and a half centimeters and three and a half centimeters. The altitude of the trapezoid is 4 centimeters.
Answer:
[tex]10cm^2[/tex]
Step-by-step explanation:
We are given that
Two parallel sides of trapezoid are
[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]
[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]
Height of trapezoid, h=4 cm
We have to find the area of the trapezoid.
We know that
Area of trapezoid=[tex]\frac{1}{2}(a+b)h[/tex]
Where a and b are two parallel sides
h=Height of trapezoid
Using the formula
Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]
Area of trapezoid=[tex]10cm^2[/tex]
please help me with this im really stuck
Helpppppppppppppppppp is this right
Answer:
The first one is B and the second one is correct
Step-by-step explanation:
Answer:
I think 1 is actually B and 2 is right -Your friend, Bill Cipher
Step-by-step explanation:
Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123
Answer:
A) $87.5
B) $164
Step-by-step explanation:
A) Marked Price (Original Price)
= [tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{77}{1-0.12}[/tex]
=87.5
B) Marked Price (Original Price)
=[tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{123}{1-0.25}[/tex]
=164
if h (x) = |5x - 17|, find h(3)
Answer:
2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
let me know if its right or wrong
similar right triangles plss helpp
Answer:
your añswer is c) I hope it helps!
Answer:
C
Step-by-step explanation:
A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?
On a windless day In Janurafy, Carl ties 300 helium filled balloons to his lawn chair 80ft from his 20ft tall house, and begins a vergical ascent into the sky. Hos high is carl when the angle lf depression from carl to the top of his house is 42°
Answer:
The answer is below
Step-by-step explanation:
θ = 90° - 42° = 48°
The angle formed is a right angled triangle, therefore trigonometric identities can be used to find the length of the triangle sides.
tan(θ) = opposite / adjacent
tan(48) = 80 / h
h = 80 / tan(48)
h = 72.03 ft
h is the vertical distance from carl to the top of his house, to get his total height to the ground (H), we use:
H = h + height of house
H = 72.03 + 20
H = 92.03 ft
Therefore Carl is 92.03 ft high
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Answer: Rs. 25,300
Step-by-step explanation:
First find the original price of the plot:
Assume this price is x:
x * ( 1 - 15%) = 18,700
0.85x = 18,700
x = 18,700/0.85
x = Rs. 22,000
To make a gain of 15%, sell at:
= 22,000 * (1 + 15%)
= 22,000 * 1.15
= Rs. 25,300
Solve the simultaneous equations.
Please help
Answer:
x=1/2, y=4
Step-by-step explanation:
Double both sides of the top equation:
4x+6y=26
Now subtract boths sides of the second one from the first one:
(4x+6y) - (4x-y) = 26 - (-2)
7y = 28
so y = 4
4x-y=-2 so 4x-4=-2
4x=2
x=1/2