Answer:
180 days
Step-by-step explanation:
To solve for the least number of days all three will again be report to the principal, find the lowest common multiples of all three of them
Rachel will report to the principal every 9 days, Jessica every 12 days, and Richard every 15 days
Rachel (every 9 days) = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180
Jessica (every 12 days) = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Richard (every 15 days) = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180
The lowest common multiples of 9 days, 12 days, 15 days is 180 days
Therefore, the least number of days all three will report again to the principal is 180 days
Walter is planning a hiking trip and he estimated the gradient of trail to be 213.6 ft/mile. After hiking and tracking the trail, he found that the trail was actually 202.7 ft/mile. What was his percent error? Did he overestimate or underestimate the gradient?
Answer: His percent error = 5.38 %
He overestimated the gradient.
Step-by-step explanation:
Formula : [tex]Percent\ error =\dfrac{|Estimated\ value- Actual\ value|}{Actual\ value}\times100[/tex]
Given, Estimated gradient of trail = 213.6 ft/mile
Actual gradient of trail = 202.7 ft/mile
Since, 213.6 > 202.7 , that means he overestimated the gradient.
Percent error: [tex]\dfrac{|213.6-202.7|}{202.7}\times100[/tex]
[tex]=\dfrac{10.9}{202.7}\times100\\\\\approx5.38\%[/tex]
Hence, percent error = 5.38 %
am i right with the question and if i m can you explain further i think i awser is y=10x
You are correct.
C is the constant, which is also called the slope.
Slope = change in y over the change in x:
Slope = 160-30 / 16-3 = 130/13 = 10
The equation would be y = 10x
In the diagram below of triangle KLM, N is a midpoint of KL and P is a midpoint
of LM. If mZPNL = 2x + 61, and MKN = 97 - 7x, what is the measure of
ZPNL?
Answer:
Solution:
(1/12)^(-2b) * 12^(-2b+2) = 12
(12^-1)^(-2b) (12)^(-2b+2) = 12
(12^2b)(12)^(-2b+2) = 12
12^(2b-2b+2) = 12
12^2 = 12
144 does not equal 12
No solution.
Step-by-step explanation:
The measure of angle PNL will be equivalent to 69 degrees.
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a triangle KLM such that N is a midpoint of KL and P is a midpoint of LM.
Triangles LMP and LKM are similar to each other. Therefore, PN will be parallel to MK. So angle PNL will be equal to angle MKN. Therefore -
2x + 61 = 97 - 7x
9x = 97 - 61
9x = 36
x = 4
So, angle PNL will be equal to -
2 x 4 + 61
69 degrees
Therefore, the measure of angle PNL will be equivalent to 69 degrees.
To solve more questions on triangles, visit the link below-
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23
Justin started the race at 3:25 p.m. Justin finished the race at 8:50 p.m. How long did it take Justin to run the race?
OA. 5 hours and 25 minutes
B. 5 hours and 35 minutes
OC. 3 hours and 25 minutes
OD. 6 hours and 25 minutes
Answer:
A. 5 hours and 25 minutes
Step-by-step explanation:
8 - 3 = 5
50 - 25 = 25
8:50 pm - 3:25 pm = 5:25
A. 5 hours and 25 minutes
What is the value of x?
Answer:
x = 58
Step-by-step explanation:
Angle = 1/2(difference of intercepted arcs)
51 = 1/2 ( 160 -x)
Multiply each side by 2
2*51 = 160-x
102 = 160-x
Subtract 160
102 -160 = -x
-58 = -x
58 =x
If 4 times a number is added to -8 the result is equal to 12 times the number
Answer:
-1
Step-by-step explanation:
let 'x' be the unknown number
4x+(-8)=12x
4x-8 =12x
-8=12x-4x
-8=8x
-8=8x
8 8
x=-1
hope it helps ❤❤❤
For any question comment me
Two consecutive even integers add up to 1594. what are the two numbers?
Answer:
Hey there!
Consecutive integers mean that the numbers are next to each other.
Consecutive even integers mean that the numbers are separated by a number between them.
Thus, if x is the smaller number, x+2 can be used to write the larger number.
x+x+2=1594
2x+2=1594
2x=1592
x=796.
The two numbers are 796 and 798.
Let me know if this helps :)
URGENT!!! Pls HELP
When dividing fractions that are represented in same terms, their quotient is simply the quotient of their numerators.
Write an equation that demonstrates this.
Answer: see below
Step-by-step explanation:
The result is the quotient of the numerators because the denominators cancel out.
[tex]\text{Consider}\ \dfrac{2}{7}\div \dfrac{3}{7}\\\\\\=\dfrac{2}{7}\times \dfrac{7}{3}\\\\\\\text{Cross-cancel the 7's:}\\=\dfrac{2}{3}[/tex]
9 1/10
Step-by-step explanation:
2 3/5 / 2/7 = 13/5 x 7/2 = 91/10 = 9 1/10
Enter 4 3/8 as a decimal
You want to share a one kilogram gold bar with your friends. How many friends can you give one gram to, if you divide up the gold bar? You want to share a one kilogram gold bar with your friends. How many friends can you give one gram to, if you divide up the gold bar? 1. 1,000 2. 10 3.10,000 4. 100
Answer:
1,000 friends will get 1 gram of gold bar each from 1 kilogram of gold bar
Step-by-step explanation:
1 kilogram of gold bar = 1,000 grams of gold bar
You have 1 kilogram of gold bar
You want each of your friends to get 1 gram
Number of friends that will get 1 gram of gold bar each = 1 kilogram of gold bar / 1 gram
= 1000 gram / 1 gram
= 1,000
Number of friends that will get 1 gram of gold bar each = 1,000 friends
25 POINTS PLS
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary.
(Saturn is 1,429,400,028 kilometers away from the sun, and Earth is 149,599,951 kilometers away from the sun)
A^2+12a-7-3a^2-5a+8 what answer
Answer:
Step-by-step explanation:
a^2 + 12a - 7 - 3a^2 - 5a + 8
-2a^2 + 7a + 1
NEED HELP ASAP MARK YOU BRAINLIEST what is 30+35+30=
Answer:
95
Step-by-step explanation:
30+30 is 60
60+35 is 95
Another way to do this is to use multiplication then add. (30x2=60)
Hope I helped!
95!
30+35=65
65+30=95
It helps to break up the problem.
Which describes the transformations of y = f(x) that would result in the graph of y = f(-x) – 7.
O a reflection in the y-axis followed by a translation down by 7 units
O a reflection in the y-axis followed by a translation up by 7 units
O a reflection in the x-axis followed by a translation down by 7 units
O a reflection in the x-axis followed by a translation up by 7 units
Answer:
a reflection in the y-axis followed by a translation down by 7 units
Step-by-step explanation:
just answered it
The transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.
Option (C) is correct.
It is required to choose the transformations of the graph.
What are transformations?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
We have a given a graph of y = f(-x) – 7.
The transformations in order are the following:
Reflection over the x-axis.
Horizontal translation of 7 units to the left.
Therefore, the transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.
Learn more about transformations here:
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1.
Social Security and Medicare taxes are amounts employees can opt in or out of
paying each pay period.
O True
O False
The perimeter of a triangle is 137 cm. If the three sides of the triangle are (x + 7) cm, (2x – 5) cm, and (3x – 3) cm, what is the length of each side?
Answer:30,41,66
Step-by-step explanation:
(X+7)+(2x-5)+(3x-3)=137
Solve for x
X=23 cm
Sides are 23+7=30
2*23-5=41
3*23-3=66
APEX PRE CALC: For a ____ function, the domain is broken into pieces, with a different rule defining the function for each piece.
Answer:
Piecewise
Step-by-step explanation:
For a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece.
Piecewise functions are usually a function that equals two or more equations depending on the x or the domain.
Google piecewise functions to see examples.
I hope this helps!
Answer: Piecewise
Step-by-step explanation:
There will be breaks and jumps in the curve, particularly when a value would undefined. So the solution curve looks like disconnected pieces.
-5(4x-2) = -2(3+6x)
what is the answer and how do you get it
Answer:
x = 2
Step-by-step explanation:
-5(4x - 2) = -2(3 + 6x)
-20x + 10 = -6 - 12x Distribute -5 to 4x and -2 and distribute -2 to 3 and
6x
10 = -6 + 8x Add 20x to both sides
16 = 8x Add 6 to both sides
2 = x Divide 8 to both sides
Answer:
-0.5
Step-by-step explanation:
-5(4x-2) = -2(3+6x)
-20x-10 = -6-12x
-10 = -6+8x
-4 = 8x
-0.5 = x
If 1/5 of the money in a cash box is 30 dollars, how much money is in the cash box?
Answer:
Money in the cash box is $150
Step-by-step explanation:
Let
x = money in the cash box
1/5 of the money in a cash box is 30 dollars
1/5 of x = $30
1/5 * x = 30
1/5x = 30
Divide both sides by 1/5
x = 30 ÷ 1/5
= 30 × 5/1
= 150/1
x = $150
Money in the cash box is $150
if 9/24 = 3/x then x is
Answer:
8
Step-by-step explanation:
Answer: 3/8
Step-by-step explanation: 9÷3=3 then 24÷3=8
In an algebraic expression what is the product of 15 and c
Answer:
15c
Step-by-step explanation:
15 multiplyed by c gives 15c
In an algebraic expression, the product of 15 and c can be represented as 15c.
The term "product" refers to the result of multiplying two or more numbers or variables together. In this case, we are multiplying the number 15 by the variable c.
The expression 15c represents 15 multiplied by the value of c. It can be thought of as 15 times an unknown value represented by c. The variable c can represent any real number or algebraic expression, depending on the context of the problem or equation.
For example, if c is equal to 2, then the product 15c would be equal to 15 multiplied by 2, resulting in 30. Similarly, if c is equal to -3, then the product would be -45 since multiplying 15 by -3 gives -45.
To learn more about the expression;
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What is 8 ×4 - 3×7+9
8×4=32
3 × 7 = 21 +9 = 30
32 - 30 = 2
A scale drawing of a school bus has a scale of 1 inch to 5 feet. If the length of the school bus is 6 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning. *
Answer: 30 Feet
Step-by-step explanation:
In Technical drawings scales are used to reduce the size ( scaling ) of drawings so they fit in our drawing sheets. in this example above the drawer stated that 1inch was representing 5feet. what this means is that because we can’t get a drawing sheet which would be 40-100 feet wide we need to rescale our drawing to fit into the available sheet. So by saying 1inch equals 5feet this means the school bus is 30Feet in length.
Evaluate: 5c + 7d - 5 for c = -2 and d=3
5c+7d-5
c=-2 so 5x is 5x-2.
5x-2=-10
d=3 so 7d is 7x3.
7x3=21
-10+21-5
-10+21=11
11-5=6
The answer is 6
hope it helps!
Answer:
Step-by-step explanation:
5(-2) + 7(3) - 5
-10 + 21 - 5
11 - 5 = 6
A cyclist rode 3.75 miles in 0.3 hours. How fast was she going in miles per hour? Round your answer to the tenths (first) decimal place.
Answer:
12.5 miles per hour
Step-by-step explanation:
The speed is the distance divided by time.
3.75 miles/0.3 hours= 12.5 miles per hour
Answer:
12.5 miles per hour
Step-by-step explanation:
To answer this question you have to make sure that the hours (denominator) equals to 1. To do this, divide 3.75 by 0.3, thus making the 0.3 hours into 1 hour. This results in 12.5 miles per hour, the correct answer. Hope this helped!
can someone tell me the difference between sine, cosine, and tangent
Answer:
sin∅ = opposite over hypotenuse
cos∅ = adjacent over hypotenuse
tan∅ = opposite over adjacent
Step-by-step explanation:
Each of these trigs are used to find angles or lengths of a triangle.
sin∅ would be the y-value of the unit circle.
cos∅ would be the x-value of the unit circle.
-14 = -8m + 2
please help!
B is incorrect so it's not the answer...
Answer:
x^2 - 4x - 3
Step-by-step explanation:
f(x) = x^2 - 6x
g(x) = -2x + 3
(f - g)(x) is the subtraction of the functions, f(x) - g(x)
You need to write it carefully using parentheses for function g(x).
(f - g)(x) = f(x) - g(x) =
= x^2 - 6x - (-2x + 3)
Now take care of the parentheses by distributing the negative sign to its left. It will change every sign inside the parentheses.
= x^2 - 6x + 2x - 3
= x^2 - 4x - 3
4x + 1 + x = -4
Can anybody help me solve this ?
Answer:
Simplify the equation
Step-by-step explanation:
4x + 1 + x + -4
= 4x + x + 1 - 4
= 5x + -3
= 5x - 3
Hope this helps
Answer:
X=-5/3 or X=-1 2/3 or X=-1.66
Step-by-step explanation:
Combine like terms:
4x+1+x=-4
-x -x
3x+1=-4
-1 -1
3x=-5
Divide by 3:
3x/3=-5/3
X=-5/3
X=-1 2/3
X=-1.66
(-8)-6+(-5) help ima stuck
Answer: -19
Step-by-step explanation:
-8 -6 = -14
-14 - 5 = -19
Answer:
-19
Step-by-step explanation:
(-8)-6+(-5)
-14+(-5)
-19