19. Mr. Collins is constructing a fence around his property. He already has 35 sections up and plans to add 7 sections each Saturday until he is finished. Write an equation to find the total number of fence sections F standing after any number of Saturdays s.A. F= 35 + 7s C. F = 35 – 7s B. F = -35 – 7s D. s= 35 + 7F
Answers
Let's begin by listing out the information given to us:
35 sections are up already
He adds 7 sections each Saturday
The equation to find the total number of fence sections F standing after any number of Saturdays s is given by:
\(F=35+7s\)Hence, option A is the correct answer
Related Questions
The plant grew 35 inches in a week. Find the unit rate in inches
per day.
Answers
You are given the following points: ????=(13,11,−20)A=(13,11,−20), ????=(−16,0,10)B=(−16,0,10), ????=(−9,16,16)C=(−9,16,16). Which point is closest to the yz-plane?
What is the distance from the yz-plane to this point? Which point is farthest from the xy-plane? ? What is the distance from the xy-plane to this point? Which point lies on the xz-plane?
Answers
a) The point which is closest to the yz-plane is B=(-16,0,10).
b) The distance from the yz-plane to this point is 16.
c) The point farthest from the xy-plane is C=(-9,16,16).
d) The distance from the xy-plane to this point 16.
e) None of the given points have a y-coordinate of 0, so there is no point that lies on the xz-plane.
a) To find the point closest to the yz-plane, we need to find the point with the smallest x-coordinate, since the yz-plane is defined by x=0. The point with the smallest x-coordinate is B=(-16,0,10), so B is closest to the yz-plane.
b) The distance from the yz-plane to point B can be found using the formula for the distance between a point and a plane, which is given by:
distance = |ax + by + cz + d| / √(a² + b² + c²)
where a, b, and c are the coefficients of the plane equation (which are 1, 0, and 0 for the yz-plane), d is the constant term (-0 in this case), and (x, y, z) are the coordinates of the point. Substituting the values for B, we get:
distance = |-16(1) + 0(0) + 10(0) + 0| / √(1² + 0² + 0²) = 16
So the distance from the yz-plane to point B is 16.
c) To find the point farthest from the xy-plane, we need to find the point with the largest z-coordinate, since the xy-plane is defined by z=0. The point with the largest z-coordinate is C=(-9,16,16), so C is farthest from the xy-plane.
d) The distance from the xy-plane to point C can be found using the same formula as before, but with the coefficients of the plane equation being 0, 0, and 1, and the constant term being 0. Substituting the values for C, we get:
distance = |0(0) + 0(0) + 1(16) + 0| / √(0² + 0² + 1²) = 16
So the distance from the xy-plane to point C is 16.
e) To find the point that lies on the xz-plane, we need to find the point with y-coordinate 0, since the xz-plane is defined by y=0. None of the given points have a y-coordinate of 0, so there is no point that lies on the xz-plane.
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Two fire-lookout stations are 13 miles apart, with station B directly east of station A.
Both stations spot a fire. The bearing of the fire from station A is N35°E and the
bearing of the fire from station B is N49°W. How far is the fire from station B?
Choose the correct formula given below.
Answers
The distance between the fire and station B is 10.7miles
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
The angle at A = 90- 35
= 55°
The angle at B = 90-49
= 41°
Angle at the fire = 180-(41+55)
= 180-96 = 84°
Using sine rule
sin84/13 = sin55/x
xsin84 = 13sin55
0.995x = 10.65
x = 10.65/0.995
x = 10.7 miles
Therefore the distance between the fire and station B is 10.7 miles.
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84.4% of what number is 19.412?
Answers
Answer: 22.4402
Step-by-step explanation:
Answer:
84.4% of 23 is 19.412.
Step-by-step explanation:
Let the unknown number be x.
Now, 84.4% of x = 19.412.
∴ (84.4 ÷ 100) × x = 19.412.
By simplifying the equation,
x = (19.412 × 100) ÷ 84.4
x = 1941.2 ÷ 84.4
∴ x = 23
Thus, 84.4% of 23 is 19.412.
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Please help me with both I’ll mark your answer brainly
Answers
Answer: i can say the first one is teenagers watch more movies than parents but have one causle equal movie subject (documationy)
Step-by-step explanation: sorry if this did't help
In the number 725.78, how does the value of the 7 in the tenths place compare to the value of the 7 in the hundreds place?
Answers
Answer:
C. 1/1,000
Step-by-step explanation:
yes or no ?
Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
O. ASA
D. SAS
Answers
Answer:
HL
Step-by-step explanation:
It give you that the hypotenuse and one leg is congruent
A swimming pool is shaped like the figure below. Each end is a semicircle, and the length and width of the rectangle are 60 feet and 30 feet, respectively.
Answers
The area of the border is 105.53 feet².
We have,
The swimming pool is a combination of two shapes.
Rectangle:
Length = 60 feet
Width = 30 feet
Area = 60 x 30 = 1800 feet²
Semicircle:
Diameter = 30 feet
Radius = 15 feet
Area = π/2 r² = 1/2 x 3.14 x 15 x 15 = 353.25 feet².
Now,
The area of the swimming pool.
= 1800 + 353.25
= 2153.25 feet²
Now,
Without the border.
Area of the swimming pool.
= rectangle area + semicircle area
= 60 x (30 - 1) + 1/2 x π x (15 - 1)²
= 60 x 29 + 1/2 x 3.14 x 14 x 14
= 1740 + 307.72
= 2047.72 feet²
Now,
The area of the border.
= 2153.25 - 2047.72
= 105.53 feet²
Thus,
The area of the border is 105.53 feet².
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4x = y + 3
8x - 3= 2y
Graph the system
Answers
How many more quarters does
Tommy need before he has $3.00
in quarters?
Answers
In the following answer, why does 830 convert to 83000?
Answer:
Money borrowed from insurance company = $1000
Step-by-step explanation:
Let the money borrowed by her friend at 8% interest = x
Then the money borrowed by bank at 9% interest = 2x
Total money borrowed = $10,000
So, the money borrowed from insurance company = 10,000-(2x+x)
= 10,000-3x
Total interest for the first year = $830
We have the equation,
8%(x) + 9%(2x) +5% (10,000-3x) = 830
8x+18x+50,000-15x = 83,000
11x = 83000-50000
11x = 33,000
x = $3000
Then the money borrowed insurance company = 10,000-3x
= $1,000
Answers
Then the money borrowed insurance company is $1,000.
Money borrowed from insurance company = $1000
Let the money borrowed by her friend at 8% interest = x
Then the money borrowed by the bank at 9% interest = 2x
What is the total money?Total money borrowed = $10,000
So, the money borrowed from the insurance company = 10,000-(2x+x)
= 10,000-3x
Total interest for the first year = $830
We have the equation,
8%(x) + 9%(2x) +5% (10,000-3x) = 830
8x+18x+50,000-15x = 83,000
11x = 83000-50000
11x = 33,000
x = $3000
Then the money borrowed insurance company = 10,000-3x
Then the money borrowed insurance company is $1,000.
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What is the perimeter of a rectangle 15x4
Answers
Answer:
38
Step-by-step explanation:
perimeter = 2(l+b)
Where l is the length of the rectangle
b is the breadth of the rectangle
P = 2(15+4)
P = 2 × 19
P = 38
Which of the following is the most likely the next step in the series?
Answers
Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.
a) Estimate σ2 with 90% confidence given that n = 15 and s2 = 12.
b) Repeat part (a) with n = 30.
c) What is the effect of increasing the sample size?
Answers
At 1am the temperature was -6°C. At 5am it was -1°C. If the temperature
continues to rise steadily, what will the temperature be at 9am?
Answers
Answer:
4 temp at 9 am
Step-by-step explanation:
At 1am temp=-6
At 5am temp=-1
5-1=4 hours and temp difference is -6+1=-5
so at 9 am temp will be -1+5=4
The length of ribbons found at a seamstress are listed.
3, 11, 11, 13, 13, 21
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.5.
The range is the best measure of variability and equals 18.
The IQR is the best measure of variability and equals 2.
Answers
Write the fraction 2/5 as an equivalent with the given denominator 25
Answers
Answer:
10/25
Step-by-step explanation:
2/5 = x/25
We need to multiply the bottom by 5 to get to 25
5*5 = 25
What we to the bottom, we do the the top
2/5 * 5/5 = 10/25
Answer:
10/25
Step-by-step explanation:
2/5 = x/25
cross multiply
2 • 25 = 50
5 • x = 5x
set equal to each other
5x = 50
divide both sides by 5
x = 10
3 5/6 - 1 1/5 what is it
Answers
Answer:
2 19/30
Step-by-step explanation:
3 5/6 - 1 1/5
We need to get a common denominator for the fractions
The common denominator is 30
5/6 * 5/5 = 25/30
1/5 * 6/6 = 6/30
3 25/30 - 1 6/30 = 2 19/30
Answer:
\(2\frac{19}{30}\)
Step-by-step explanation:
since this is a mixed fraction we can turn it into 2 equations
3-1
And
5/6-1/5
We know 3-1 is equal to 2 so now for the fraction
To subtract them we have to find a common denominator or multiple for the denominator and one is 30
\(\frac{5x5}{6x5}-\frac{1x6}{5x6}\)
\(\frac{25}{30}-\frac{6}{30}\)
Now we just subtract the numators
25-6=19
We put 19 over 30 and then add the 2 next to it So the solutions is
\(2\frac{19}{30}\)
Hopes this helps please mark brainliest
The data shows the number of video streaming hours for10 household in New Hampshire during the month of January and July last year. Which of the following best describes the data?
Please let me know which one is the answer, 100 points! Thank you
Answers
Answer: brainliest ?
The correct answer is: The data is dependent, because the hours of video streaming in January and July occurred in the same households.
This is because the data collected is related to the same households and not different people. The same households were monitored during both January and July, which means that any changes in the video streaming hours during those months are likely due to factors within those households, such as changes in habits, routines, or available free time.
If the data were independent, then it would mean that the hours of video streaming in January and July were not related or influenced by any factors from the other month. For example, if the data were collected from two completely different sets of households, then it would be considered independent because there would be no connection or influence between the households in January and July. However, this is not the case in the given scenario, so the correct answer is that the data is dependent.
Step-by-step explanation:
hope its help <:
A restaurant's delivery person can determine the number of miles he can drive in x hours by the function f (x) = x2 + 3x. The number of gallons of gasoline that the delivery person uses for driving y miles can be determined by the function g of y is equal to y over 18 period If the delivery person works a 9-hour shift, how many gallons of gasoline will he need in his tank?
3
4
5
6
Answers
The delivery person will use 6 gallons of gasoline
The function to determine the number of miles in x hours is:
f(x) = x² + 3x
The number of gallons of gasoline used for driving y miles is:
g(y) = y/18
For a delivery person that works a 9-hour shift:
x = 9
f(9) = 9² + 3(9)
f(9) = 81 + 27
f(9) = 108
That is, the number of miles, y = 108 miles
The number of gallons of gasoline used:
g(y) = y/18
g(108) = 108/18
g(108) = 6
The delivery person will use 6 gallons of gasoline
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Determine if each equation has one solution, no solution, or infinite solutions.
1. -4g + 8 = 20
2. -3b = 2b - 5b
3. -3f = 2 - 3f
4. 2n - 12 = -12 + 2n
5. 7c - 4 = 3 + 7c
6. 3 - 5y = 2y + 24
7. 22 + w = 2(4w - 3)
8. 6h - 8 + 4h = 12 + 10h
9. 12j = 4(3j - 8)
10. 5(u-9) = -2u - 45 + 7u
11. 2 (4a - 7) - 3a = 19 - 6a
12. 3 - 11d = -6d + 3 - 5d
Answers
Answer:
Step-by-step explanation:
1. One solution. Solving for g gives g=2.
2. No solution. The equation is equivalent to -3b = -3b, which is always false.
3. One solution. Solving for f gives f=2/5.
4. Infinite solutions. The equation is equivalent to 2n-12 = 2n-12, which is always true for any value of n.
5. Infinite solutions. The equation is equivalent to 7c-4 = 7c+3, which is always true for any value of c.
6. One solution. Solving for y gives y = -3/7.
7. One solution. Solving for w gives w = -22
8. One solution. Solving for h gives h = 2
9. One solution. Solving for j gives j = -2
10. One solution. Solving for u gives u = -5
11. One solution. Solving for a gives a = -1/2
12. No solution. The equation is equivalent to 3-11d = -11d+3, which is always false.
Which of the following represents the symmetric property of equality?
Question 5 options:
A)
If a = b and b = c, then a = c
B)
If a = b, then ac = bc
C)
a(b + c) = ab + ac
D)
If a = b, then b = a
Answers
Answer:
D. if a=b, then b = a
The symmetric property of equality is If a = b, then b = a. The correct answer is D.
What is symmetric property?According to the symmetric property, if x=y, then y=x is true for all real numbers x and y.
Given the relation of "equality" (=),
and a = b;
if b = a is true for all a and b, then equality is said to be symmetric.
The claim applies to all of a and b. (no counterexample can be found). The symmetric property of equality refers to this.
Example - If x + y = 3, then 3 = x + y.
Therefore, If a = b, then b = a is the correct answer.
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K
A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary.
Salary ($) Employees
5,001-10,000
10,001-15,000
17
15
15,001-20,000
20,001-25,000
25,001-30,000
OA. $7,376.62
B. $17,625
C. $15,862.50
D. $19,387.50
16
13
19
Answers
The mean salary of the employees is $17625.5.
The total number of employees in the company is 80.
The total salary for the first interval is [(5001+10000)/2]*17 = 127508.5.
The total salary for the second interval is [(10001+15000)/2]*15 = 187507.5.
The total salary for the third interval is [(15001+20000)/2]*16 = 280008.
The total salary for the fourth interval is [(20001+25000)/2]*13 = 292506.5.
The total salary for the fifth interval is [(25001+30000)/2]*19 = 522509.5.
In math, a mean is the average of a data collection, which is calculated by adding all of the numbers together and then dividing the total of the numbers by the number of numbers. The mean salary is the sum of all salaries divided by the total number of employees.
M = (127508.5 + 187507.5 + 280008 + 292506.5 + 522509.5)/80
M = 17625.5
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Using the order of operations and locations of parentheses (brackets), change the value
of a string of four 4s to evaluate to 36
Answers
Answer:
4 ( 4 + 4 + 4 )
Step-by-step explanation:
find the value of a so that a line passes throght (-5,a) and (1,-10) has a slope of -4/3
Answers
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{a})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-10})\)
\(\stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-10}-\stackrel{y1}{a}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-5)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{\cfrac{-4}{3}}\implies \cfrac{-10-a}{1+5}=\cfrac{-4}{3}\implies \cfrac{-10-a}{6}=\cfrac{-4}{3} \\\\\\ -30-3a=-24\implies -30=-24+3a \\\\\\ -6=3a\implies \cfrac{-6}{3}=a\implies -2=a\)
HELP ME OUT PLEASE!
Answers
Answer:
X = 3
Step-by-step explanation:
To solve for the value of x, you need to get rid of the fraction first, so you have to multiply each side of the original equation by 2, which will get you 6+8x=10x.
Then, you subtract both sides by 8x, which will get you 6=2x. After that, you divide each side by 2, which leaves you with 3=x. So, the answer is X = 3.
Picture explanation:
Multiply 2 on both sides of the equal sign to eliminate the fraction.Subtract 8x from both side to get 6 by itself.Divide 2 on both sides to get x on its ownAnswer:
X=3
which of the following is the formula in solving for the area of a circle?
A.A=2πr
B.A=πr²
C.A=πd
D.A=2πr²
Answers
The area of circle is πr²
Answer:
πr²
Step-by-step explanation:
The answer is πr² where,
π = pi, 3.14...
r = radius
This is the most common way of solving for the area of the circle.
PLEASE HELP ASAP ITS DUE IN AN HOUR
Answers
Answer:
\(3^2-5\)
Step-by-step explanation:
Given equation:
( 3 - 2^2) + 5
3 - 4 + 5 (Simplify exponent)
-1 + 5 (Solve 3 - 4)
4 (Simplified)
Evaluation
2^2 + 5
4 + 5
9 (not the answer)
3^2 - 5
9-5
4 (answer)
what is 2/7 divided by 8/3?
Answers
Hey there! :)
Answer:
3/28.
Step-by-step explanation:
Divide fractions by multiplying by the divisor's reciprocal. Therefore:
2/7 ÷ 8/3 =
2/7 × 3/8 =
2 · 3 / 7 · 8=
6/ 56
Simplify:
6/56 = 3/28. This is your answer in simplest form.
The expression 2/7 divided by 8/3 is equal to 3/28.
We have,
To divide 2/7 by 8/3, multiply 2/7 by the reciprocal of 8/3:
= (2/7) ÷ (8/3)
= (2/7) * (3/8)
Now, simplify the multiplication:
(2/7) * (3/8)
= (2 * 3) / (7 * 8)
Multiplying the numerators (2 * 3) and denominators (7 * 8),
= 6 / 56
Divide by 2 on both the numerator and denominator.
= 2 x 3 / 2 x 28
= 3/28
Therefore,
The expression 2/7 divided by 8/3 is equal to 3/28.
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Please help me thank ykj
Answers
F(-2)=-(-2)-8=2-8= -6
F(2)= -2-8=-10
F(0)=0-8=-8
F(-3)= -(-3)-8=3-8=5