Answer: 7.7 m
Step-by-step explanation:
Given that Neil's footstep is 56 cm long and his dad's is 70 cm long.
If their footsteps overlapped 11 times, this shows that the longer footstep will surely be 11 different steps since the difference between the two footsteps is not upto the half of the smaller one.
The distance between the two trees will be 70 cm × 11 = 770 cm
Convert centimeters to meter by dividing it by 100
770/100 = 7.7 meter.
Therefore, the distance between the two trees in metre is 7.7 m
ASAP MATH HELP WITH THIS QUESTIONS
Answer:
y = - x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (4, - 1)
m = [tex]\frac{-1-5}{4+2}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1, thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, - 1 ), then
- 1 = - 4 + c ⇒ c = - 1 + 4 = 3
y = - x + 3 ← equation of line
Solve the system of equations:
y = x-2
y= x2 – 3x+ 2
Answer:
(2, 0)
Step-by-step explanation:
y = x - 2
y = x² - 3x + 2
Since both equations equal y, you can set the equations equal to each other.
x - 2 = x² - 3x + 2
x = x² - 3x + 4
0 = x² - 4x + 4
0 = (x - 2)(x - 2)
x - 2 = 0
x = 2
Now that you have an x-value, solve for y.
y = x - 2
y = 2 - 2
y = 0
The solution is (2, 0).
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.
What is the greatest number of bricks Lynn can make?
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
Answer:
Greatest number of bricks = 70
Washed out mixture = 4 pounds
Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.
Step-by-step explanation:
She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket.
Amount of mixture = 39 pounds of water + 48 pounds of brick dust
Amount of mixture = 87 pounds
She spills 13 pounds of the mixture while stirring the contents.
Amount of mixture left = 87 pounds - 13 pounds
Amount of mixture left = 74 pounds
Each brick requires 7 pounds of mixture
What is the greatest number of bricks Lynn can make?
Greatest number of bricks = 7×10
Greatest number of bricks = 70
How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?
Washed out mixture = 74 pounds - 70 pounds
Washed out mixture = 4 pounds
Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.
Help urgently please❤️ I’m waiting urgently
Answer:
1. 3511
2 B= 0.25
Step-by-step explanation:
1. The number of single scoop cone is represented as s while the number of double scoop cone is represented as d. The total number of scoop cone the coach bought is 15 and the total sum is 57 dollars .
Therefore, multiply the number of single scoop cone(s) by each price and also find the product of the number of double cone(d) and the price of each . Then add the result to get 57 dollars. Therefore, A = 3 dollars and B = 5 dollars. The sum of s and d will give 15 . Therefore, C and E is equals to 1.
2. s is the number of small candies while l is the number of big candies. The individual cost of the small candies and the large candies are in cents so we have to convert them to dollars.
Cost of each small candies = 10/100 = 0.1 dollars
Cost of each large candies = 25/100 = 0.25 dollars.
Therefore, using the same principle as number 1
A = 0.1 dollars
B = 0.25 dollars
The value of E = 52
Which ordered pair is in the solution of the system of inequalities shown in the accompanying graph
Answer:
(3, 2).
Step-by-step explanation:
It must be in the area containing the squares
which point is a solution to the inequality shown in this graph? A. (0,-5) B. (-3,0) C. (0,0) D. (5,-5)
Point (-3, 0) is required solution to the inequality. Hence option B. is correct.
What is inequality?Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
As from graph,
The inequality can be define as -[tex]y > \frac{4}{3}x+4[/tex]
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.
Thus, point (-3, 0) is required solution to the inequality.
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The circumference of a circle is 19pi ft. What is the area, in square feet? Express your
answer in terms of pi.
Answer:
A = 90.25 pi ft^2
Step-by-step explanation:
The circumference is given by
C = 2 * pi* r
19pi = 2 * pi * r
Divide each side by 2pi
19pi/2pi = 2 * pi *r/2pi
9.5 = r
Now find the area
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi ft^2
Answer:
Step-by-step explanation:
Circumference is found in
[tex]C=2\pi r[/tex] while area is [tex]A=\pi r^2[/tex]
Since we know the circumference value, we can plug it in and solve for r:
Since [tex]C=2\pi r[/tex] and [tex]C=19\pi[/tex] , then
[tex]19\pi=2\pi r[/tex] and
[tex]\frac{19\pi}{2\pi}=r[/tex] The pi's cancel out, leaving us with the fact that
[tex]r=\frac{19}{2}=9.5[/tex]
We will use that now in the area formula:
[tex]A=\pi(9.5)^2[/tex] so
A = 90.25π
Use the function below to find (-2).
f(x) = 3x
O A.
O B. -9
O c.
O D. -6
answer
f(x)= 3x
= 3×-2 = -6
D. -6
if jkl is a trapezoid, which statements must be true A. kl is parallel to jm B. jk is parallel to lm C.
The true statements are:
(a) J is supplementary to K
(e) KL is parallel to JM
What is a trapezoid?A trapezoid has a pair of parallel sides and non-parallel sides.
The angles at the adjacent points of a trapezoid add up to 180 degrees
This means that:
J + K = 180 --- supplementary angles
M + L = 180 --- supplementary angles
The above highlights mean that: J and K are supplementary angles
Hence, (a) is true
Also, a trapezoid has a pair of parallel sides
Because lines KL and JM are horizontal lines, then they must be parallel to one another.
The above highlight means that: Lines KL and JM are parallel lines.
Hence, (e) is true
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Figure ABCD is a rectangle find the value of x
Answer:
8
Step-by-step explanation:
BD is 32 units.
BE is half of BD
3x - 8 = 32/2
3x - 8 = 16
3x = 16 + 8
3x = 24
3/3x = 24/3
x = 8
Answer:
8Solution,
Diagonals of rectangle bisects each other.so,
2 BE = BD
2( 3x - 8 ) = 32
6x - 16 = 32
Add 16 on both sides
6x - 16 + 16 = 32 + 16
Simplify
6x = 48
divide both sides of equation by 6
6x/6 = 48/6
calculate
X = 8
Hope this helps...
Good luck on your assignment..
Kite E F G H is inscribed within a rectangle. Points F and H are midpoints of the sides of the rectangle. Points E and G are parallel to the side of the rectangle.
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Which statement describes how the location of segment EG affects the area of EFGH?
The area of EFGH is One-fourth of the area of the rectangle if E and G are not midpoints.
The area of EFGH is One-half of the area of the rectangle only if E and G are midpoints.
The area of EFGH is always One-half of the area of the rectangle.
The area of EFGH is always One-fourth of the area of the rectangle.
Answer:
The area of EFGH is always One-half of the area of the rectangle.Step-by-step explanation:
If F and H are midpoints of sides of rectangle then FH is parallel to the other side of rectangle so FH is perpendicular to the EG. That means the lenght of FH is equal to lenght of rectangle, and the lenght of EG is equal to width of rectangle.
So the area of the rectangle: [tex]A_{rectangle}=EG\cdot FH[/tex]
FH ⊥ EG so the area of quadrangle EFGH:
[tex]A_{_{EFGH}}=\frac12EG\cdot FH=\frac12A_{rectangle}[/tex]
no matter the location of segment EG
The area of EFGH is always One-half of the area of the rectangle.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have given that;
the kite EFGH is inscribed in a triangle and F and H are midpoints and EG is parallel to the side of rectangle.
The kite consists of 2 triangle that are EFG and EHG.
Now,
In a triangle EFG is,
= 1/2 x EG x h......(1)
where h is the height from F to EG
Also the area of EHG:
= 1/2 x EG x h₁
where is the height from H to EG
We also know that h₁ + h is the width of the rectangle and EG is the length of the rectangles.
Area of Kite = = 1/2 x EG x h + 1/2 x EG x h₁
Also, The area of a rectangle is rectangle length × rectangle width.
Thus, The Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Hence, The statement describes how the location of segment EG affects the area of EFGH is the area of EFGH is always One-half of the area of the rectangle.
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help quick plz must get this correct I will make u a brainllest
Answer:
CPCTC
Step-by-step explanation:
You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!
Kayla won 47 super bouncy balls playing hoops at her school's game night. Later, she gave two to each of her friends. She only has 7 remaining. How many friends does she have? Write an equation and then solve.
Answer: 20 friends
Step-by-step explanation:
47 - 7 = 40
40 ÷ 2 = 20
Just to double check, 2 x 20 = 40 + 7 balls left over = 47
I need help on this please
Answer:
[tex]y=\frac{5}{6}x+5[/tex]
Step-by-step explanation:
Well this is actually really simple we just have to look at the line and see what attributes it has so we can make an equation.
So slope intercept form is [tex]y=mx+b[/tex].
Like to find the y intercept we know it is the point that the line touches the y axis which is 5.
Now for the slope, the slope is how far each points are from each other on a line so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].
So to do this we need two points that are on the line we can use (-6,0) and (6,10).
So y2 is 10 and y1 is 0 so 10-0 is 10 and 6 - -6 is 12 so the slope is 10/12 and we have to simplify it to 5/6 so the slope is 5/6 and now we have to put it in slope intercept -> [tex]y=\frac{5}{6}x+5[/tex]
Which set of points does NOT represent a function?
OA) (-4,-2), (-1,3), (0, 3), (5, -6)
OB) (1 -1), (3, -1), (5, -1), (-1, -1)
OC) (-2, 6), (5, 6), (-2,-6), (4,5)
OD) (7,4), (-4, 7), (-7,-4), (4, -7)
Answer:
OC is not a function
Step-by-step explanation:
It's not a function because the x cannot repeat.
Use the graph of the polynomial function to find the factored form of the related
polynomial. Assume it has no constant factor.
A. (x + 2)(x+2)
B. x(x-2)
C. x(x + 2)
D. (x-2)(x + 2)
Answer:
d
Step-by-step explanation:
the answer would be (x-2)(x+2)
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was per hour. The water output rate for the Perry family's sprinkler was per hour. The families used their sprinklers for a combined total of hours, resulting in a total water output of . How long was each sprinkler used
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used
Answer:
Hours of use of sprinkler by Lewis family is 30 hours.
Hours of use of sprinkler by Perry family is 35 hours.
Step-by-step explanation:
Let W = hours of use by Lewis family
65 - W = hours of use by Perry family
Then;
15W + 40*(65 - W) = 1850
15W + 2600 - 40W = 1850
(15 - 40)W = 1850 - 2600
-25W = −750
W = 750/25 = 30
Therefore;
W = 30
65 - W = 65 - 30 = 35
Hence,
Hours of use by Lewis family is 30 hours.
Hours of use by Perry family is 35 hours.
What is the sum of the first 18 terms in the arithmetic sequence 3+7+11+...?
What are the coordinates of the point where the line y = -\frac{4}{5}x + 80 intersects the x -axis?
Answer:
71
Step-by-step explanation:
I am only able to really help with the first part of this question. I am very sorry about that!
Lets take a look at the sequence!
It starts with 3 and then goes to 7. Which means it is adding 4 each time it continues. To confirm this, lets look at 11. 7 goes to 11, which again means it is adding 4! So we understand and now the pattern!
Rather than doing a buttload of work, lets do it an easier way. Lets plug 18 into a calculator!
If you have one, all you need to do is add 3 plus 4. Then plus for again. That should start a ripple effect if you press enter. On the 18 term it would be 71!
Hope that helped.
When using a debit card: Question options: A:There are always fees. b:Identification is always required. c:You still need to record transactions in your checkbook. d:You are not personally liable for more than $50 if it is stolen.
Answer:
D.
Step-by-step explanation:
Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.
D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.
A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is a heart and the second card is a dimand?
Answer:
The probability of choosing a heart, P(Heart) = 13/52 = 0.25
Step-by-step explanation:
PLEASE HELP ASAP THIS IS TIMED. If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)? On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0). On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2) On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5). On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Answer:
4th Graph
Step-by-step explanation:
Step 1: Find (f + g)(x)
-x² + 3x + 5 + x² + 2x
3x + 5 + 2x
5x + 5
Step 2: Graph
Answer:
option d on edge trash
Step-by-step explanation:
Please show your work! *grade 9 work*
Answer:
c = 6√2 cm
Step-by-step explanation:
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
108 = c²
c = ± √108 = ± 6√2
Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.
Answer:
72 cm or 6 square root of 2
Step-by-step explanation:
a^2+b^2=c^2
6^2+6^2=c^2
36+36=72
c= 72 cm. or 6 square root of 2
hope this helps.
Select the correct answer.
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represent
Answer:
c
Step-by-step explanation:
Answer:
Both a relation and a function
Step-by-step explanation:
Replicates itself every 14 minutes, which is exponential function
Determine the slope of the line that contains the points of (-9,5) and (6,-5)
Answer:
[tex]\bold{m=-\dfrac23}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]
Evaluate the following expression using the values given: Find 2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.
Answer:
The evaluated answer to this equation is 19.
Step-by-step explanation:
2r² + 3s³ - r² + 4t² - r²
In the problem, we are given values for the variables in the equation.
r = -2
s = -3
t = 5
Let's plug these numbers into the equation.
2(-2)² + 3(-3)³ - (-2)² + 4(5)² - (-2)²
First, simplify the exponents.
2(4) + 3(-27) - (4) + 4(25) - (4)
Next, multiply the numbers starting from left to right.
8 + (-81) - 4 + 100 - 4
Add 8 and -81 together.
-73 - 4 + 100 - 4
Subtract 4 from -73.
-77 + 100 - 4
Add -77 to 100.
23 - 4
Subtract 4 from 23.
19
So, your final simplified answer to this equation is 19.
can someone help me with the question, please.
Answer:
x = arcsin 0.591 = 0.632 radian or 36.21 degrees
Step-by-step explanation:
Angle x and the sides 13 and 22 cm are related through the sine function as follows:
opposite side 13 cm
sin x = ---------------------- = ------------- = 0.591
hypotenuse 22 cm
Now find x using the inverse sine function:
x = arcsin 0.591 = 0.632 radian or 36.21 degrees
Answer:
36.22°Solution,
Perpendicular = AB
hypotenuse = AC
we know that,
[tex]sin \: theta = \frac{perpendicular}{hypotenuse} [/tex]
[tex]sin \: x \: = \frac{ab}{ac} [/tex]
[tex]x = {sin}^{ - 1} \frac{13}{22} [/tex]
[tex]x = 36.22[/tex]
Hope this helps...
NEED ANSWER ASAP What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio?
Answer:
(A) 1
Step-by-step explanation:
We know that the formula is x = (m/m+n) (x2-x1) + x1.
But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.
The reason everyone else was getting 4 was because they were using this.
They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.
However, the correct equation (because it is supposed to be F to D) is
x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.
I also just took the quiz and got 100%.
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The equations x minus y = 2, x minus 2 y = negative 2, x + y = 2, and x + 2 y = negative 2 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 2) and (2, 0). Orange line goes through (2, 0) and (0, negative 2). Pink line goes through (2, negative 2), and (0, negative 2). Blue line goes through (0, negative 2) and (2, 2). Which system of equations has a solution of approximately (0.7, –1.4)? x minus y = 2 and x + 2 y = negative 2 x minus 2 y = negative 2 and x + y = 2 x minus y = 2 and x minus 2 y = negative 2 x + y = 2 and x + 2 y = negative 2
Answer:
x - y = 2 and x + 2y = -2
Step-by-step explanation:
Since you have the graph, you can easily see that the point of interest is nearest the intersection of the orange and pink lines.
__
Recognizing that the intercepts of a line in standard form are ...
ax +by =c
x-intercept: c/a
y-intercept: c/b
You can easily determine the corresponding intercepts for the given lines. We can tell from the graph that we only need to know what the y-intercept is in order to match the equation to the line. Here are the y-intercepts:
x -y = 2 ⇒ (0, -2) — orangex -2y = -2 ⇒ (0, 1) — bluex +y = 2 ⇒ (0, 2) — greenx +2y = -2 ⇒ (0, -1) — pinkThe system of equations with the desired solution is ...
x -y = 2 and x +2y = -2
Answer:
A: x-y= 2 and x+2y= -2
Step-by-step explanation:
I got it right on Edge 2020
Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Answer:
it is A or the first one
Step-by-step explanation:
The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.
Two equation of lines is given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.
A line can be defined by a shortest distance between two points is called as a line.
Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).
Thus, The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.
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1. Garbage Production. Based on a sample of 62 households, the mean weight of discarded plastic is 1.93 pounds and the standard deviation is 1.08 pounds (data from the Garbage Project at the University of Arizona). Use a single value to estimate the mean weight of discarded plastic for all households. Also, find the 90% confidence interval.
Answer:
The answer is below
Step-by-step explanation:
Given that:
Mean (μ) = 1.93, standard deviation (σ) = 1.08 pounds, sample (n) = 62.
the mean weight of discarded plastic for all household is given by:
[tex]\mu_x=\mu = 1.93\ pounds[/tex]
The standard deviation of discarded plastic for all household is given by:
[tex]\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{1.08}{\sqrt{62} }=0.137\ pounds[/tex]
The confidence (c) = 90% = 0.9
α = 1 - c = 1 - 0.9 = 0.1
α/2= 0.1/2 = 0.05
The z score of 0.05 corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645. i.e. [tex]z_\frac{\alpha}{2}=z_{0.05}=1.645[/tex]
The margin of error (E) = [tex]z_{0.05}\frac{\sigma}{\sqrt{n} }=1.645*\frac{1.03}{\sqrt{62} }= 0.2256[/tex]
The confidence interval = [tex]\mu \pm E=1.93 \pm 0.2256=(1.7044,2.1556)[/tex]
We are 90% confidence that the value is between 1,7044 and 2.1556