Answer:
600 timesStep-by-step explanation:
GivenNumber of people:
6 million = 6*10^6Distance to walk:
2.5 miles per day per personDistance around the Earth
2.5*10^4SolutionTotal distance walked:
6*10^6*2.5 = 15*10^6The ratio of total distance to the distance around the Earth:
15*10^6 / 2.5*10^4 = 6*10^2 = 600 timesNumber of people:
6 million = [tex]6[/tex] × [tex]10^{6}[/tex]
Distance to walk:
2.5 miles every day per person
Distance around the Earth
[tex]2.5[/tex] ×[tex]10^{4}[/tex]
Total distance walked:
[tex]6[/tex] × [tex]10^{6}[/tex] × [tex]2.5[/tex] [tex]= 15[/tex] × [tex]10^{6}[/tex]
The ratio of total distance to the distance around the Earth:
[tex]15[/tex] × [tex]10^{6}[/tex] / [tex]2.5[/tex] × [tex]10^{4}[/tex] = [tex]6[/tex] × [tex]10^{2}[/tex] = [tex]600[/tex]
PLEASE help im struggling
HELPP!! this is due today and i’m super dumb all help is appreciated
Answer:
Step-by-step explanation:
all the sides are different than the other on the bottom of the shape the sizes have longer sides and one short at the bottom.
hi, can someone pls double-check my answers and let me know if I got any wrong?? :)
1. the sum of 6 and t = 6 + t
2. the product of y and 11
3. the difference of 4 from 12
4. the quotient of 6 divided by t
5. 19 less than 25
6. increase s by 2s
7. decrease 11 by r
8. add 6 times x and 2 times s
9. the quotient of 17 minus 12 and 2
10. the product of 3 and x less 10
11. the product of 7 and 2 divided by 2
Answers: 1. 6 + t
2. 11y
3. 4 - 12
4. 6 / t
5. 25 - 19
6. s + 2s
7. 11 - r
8. 6x + 2s
9. (17 - 12) - 2
10. 3x - 10
11. (7 x 2) / 2
Answer:
They are all right
Step-by-step explanation:
The graph below plots a function f(x):
If x represents time, the average rate of change of the function f(x) in the first three
seconds is....
Answer:
-50
Step-by-step explanation:
The average rate of change is synonymous with the slope. Therefore, we will find the slope of the function from x=0 to x=3.
So, we will use the endpoints of the function.
At x=0, f(x)=150. Thus, we have the point (0, 150).
At x=3, f(x)=0. Thus, we have the point (3, 0).
Now, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 150) be (x₁, y₁) and let (3, 0) be (x₂, y₂). Substitute:
[tex]m=\frac{0-150}{3-0}=-150/3=-50[/tex]
Therefore, the average rate of change for the first three seconds is -50.
An Olympic runner completes the 200-meter sprint in 23 seconds. What is the runner’s average speed? (Round your answer to the nearest tenth of a meter per second.)
0.9 m/s
1.2 m/s
8.7 m/s
10.1 m/s
Answer:
C. 8.7 m/s
Step-by-step explanation:
Answer:
8.7 m/s
Step-by-step explanation:
correct on edge 2021
The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?
Answer:
The width of the garden is 25 feet
The length of the garden is 60 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle
= P = 2L + 2W
Where L = Length, W = Width
The length of the garden is 10 feet more than twice its width.
P = 170
L = 2W + 10
Hence,
170 = 2(2W + 10) + 2W
170 = 4W + 20 + 2W
Collect like terms
170 - 20 = 6W
150 = 6W
W = 150/6
W = 25 feet
The width of the garden is 25 feet
Remember
L = 2W + 10
L = 2(25) + 10
L = 50 + 10
L = 60 feet
The length of the garden is 60 feet
There are 11 bananas and 8 peaches in a fruit basket. Write the
ratio of peaches to bananas.
Answer: 8:11
Step-by-step explanation:
What Student starts Farther away
Which model can be used to represent the number below? 0.111
Answer:
The top right one
Step-by-step explanation:
It’s 111 so first find the one with the 10x10 grid then get the one of ten finally get the one with one
Answer: It is the top right.
Step-by-step explanation:
24
23
22
21十
20-
4
8
12
16
Answer:
counted down
Step-by-step explanation:
it was counting up and went down by couting down in 2
Matthew’s bed takes up 1/3 of the width of his bedroom and 3/5 of the length. What fraction of the area of the floor does Matthew’s bed take up?
I believe the answer is 1/5 sorry if this is wrong!
While Justin is in training, he is to drink 500 milliliters of water 4 times per day. How many liters of water will that be for one week?
Answer:
14
Step-by-step explanation:
What do you understand by British system of measurement of angle?
Answer:
well, each right angle is divided into 90 equal parts where each part & it's called degrees
each degree is then divided into 60 equal parts where each part is called a minute
each minute is divided again into 60 equal parts where each part is called a second.
Step-by-step explanation:
Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection, centers of rotation and degrees of rotation, distance and direction of translations, and centers of dilation with a scale factor. Determine if the transformation is a rigid transformation or a similarity transformation. Explain all reasoning.
Part A: Figure 1 →Figure 4
Part B: Figure 2 → Figure 5
Answer:
Part A: Figure 1 → Figure 4
Rigid Transformation
Equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin which are types of rigid transformation
Part B: Figure 2 → Figure 5
Similarity transformation
Figure 5 is Figure 2 dilated by a scale factor of 1/2, which is a form of a similarity transformation
Step-by-step explanation:
Part A: Figure 1 → Figure 4
The coordinates of the vertices of the preimage are;
(5, 10), (2, 4), (9, 2)
The coordinates of the vertices of the image are;
(-9, -2), (-2, -4), (-5, -10)
Which is equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin
Part B: Figure 2 → Figure 5
The coordinate points of figure 2 are;
(-9, 2), (-5, 10), and (-2, 4)
The coordinate points of figure 5 are;
(1, 2), (2.5, -1), and (4.5, 3)
The lengths of the sides of figure 2 are;
√((10 - 2)² + ((-5) - (-9))²) = 4·√5
√((10 - 4)² + ((-5) - (-2))²) = 3·√5
√((2 - 4)² + ((-9) - (-2))²) = √53
The lengths of the sides of figure 5 are;
√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2
√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5
√((4.5 - 1)² + (3 - 2)²) = (√53)/2
Therefore. Figure 5 is Figure 2 dilated by a scale factor of 1/2
Therefore, given that the sides of Figure 2 and Figure 5 are rotated by 180°
We have;
Figure 5 is obtained as follows;
1) The rotation of figure 2 by 180°, clockwise or anticlockwise about the origin to get;
(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)
2) The image is translated left by 1 blocks and up by 6 blocks as follows;
(9, -2), (5, -10), and (2, -4) → (8, 4), (4, -4), and (1, 2)
3) The image is then dilated by a scale factor of 1/2 with a center of dilation of (1, 2) to get;
Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).
6
1
1 point
If f(x) = 4x – 11, what is the value of f(5)?
O 20. – 55
0 4
O 9
O 34
2
3
Answer:
9
Step-by-step explanation:
f(x) = 4x- 11
f(5) = 4(5) - 11
f(5) = 20- 11
f(5) = 9
Suzanne needs material for her school project. She buys 5.50 yards of material at $3.87 a yard. What is the total cost of the material? Round to the nearest cent.
*please show your work*
Answer:
i believe it is 21.285 or 21.29 since yo multiply 5.50 times 3.87 to get 21.285
Step-by-step explanation:
i need help with finding the domain of R
Answer:
The domain of R = [-2, ∞)
Step-by-step explanation:
We know that the domain of a function is the entire set of input values for which the function remains real and defined.
Given the attached graph, we can observe that at point x=-2 the graph heads towards positive infinity.
i.e. [-2, ∞) is the interval.
It means from x=-2 onwards to the positive infinity i.e. the interval [-2, ∞), the graph is representing the domain.
Therefore, the domain of R = [-2, ∞)
I’m on a timer I need help with this ASAP!!!!!!!!!!
U is a midsegment of AFGH. 1) = 7, FH = 9, and GH= 12. Find the perimeter of AIJH. F
Answer:
perimeter of triangle IJH= 17.5
Step-by-step explanation:
line IJ is a midsegment, so you can divide the segments FH and GH by 2.
that means segment IH= 4.5 and segment GH=6. segment IJ is given as 7.
add 4.5 + 6 + 7, which equals 17.5
Solve the equation 7x-4(-4x-16)= -166
Answer: x = -10
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x= -10
Step-by-step explanation:
7x-4(-4x-16)=-166 foil the ()
7x+16x+64= -166 combine terms
23x+64= -166 subtract 64 to both sides
23x= -230 divide by 23
x= -10
X + y + z = 1
2x + 4y + z = 2
- X + 3y
=11
Answer:
x=-5
y=2
z=-4
Step-by-step explanation:
we can solve this by elimination and substitution method.
!!!!!!!HELP PLEASE!!!!!!
Answer: length 48 width 38
Step-by-step explanation: 48+48+38+38=173
Lashawn used 44 stamps to mail a package. He used a
combination of $0.50 stamps, $0.35 stamps, $0.02 stamps,
totaling $15.01. If the number of $0.35 stamps is nine less
than twice the number of $0.50 stamps, find the number of
each type of stamp.
Answer:
Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package
Step-by-step explanation:
The given parameters are;
The number of stamps Lashawn used to mail the small package = 44
The price of the combination of 44 stamp = $15.01
The price categories of the stamps are $0.50, $0.35, and $0.02
The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9
Let, x represent the number of $0.50 stamps Lashawn used to mail the package
We have;
The number of $0.50 stamps Lashawn used to mail the package = x
The number of $0.35 stamps = 2 × x - 9 = 2·x - 9
The number of $0.35 stamps = 2·x - 9
The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x
The number of $0.02 stamps = 53 - 3·x
Which gives;
0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01
0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01
1.14·x - 2.09 = 15.01
1.14·x = 15.01 + 2.09 = 17.1
x = 17.1/1.14 = 15
x = 15
The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps
The number of $0.50 stamps Lashawn used = 15 stamps
The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps
The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.
What measure should be used to find out how much water is needed to fill a large swimming pool that is 8 feet by 12
feet by 6 feet?
O area
O lateral area
O surface area
O volume
Answer: D volume
Step-by-step explanation:
Which of the following is a root of the polynomial shown below?
f(x) = x2 + 2x2 - x-2
O A. 1
OB. 3
O c. O
O D. 2
Answer:
We conclude that option A is true as x = 1 is the root of the polynomial.
Step-by-step explanation:
Given the polynomial
[tex]f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2[/tex]
Let us determine the root of the polynomial shown below.
[tex]\:0=\:x^2\:+\:2x^2\:-\:x-2[/tex]
[tex]0=3x^2-x-2[/tex]
switch sides
[tex]3x^2-x-2=0[/tex]
as
[tex]3x^2-x-2=\left(3x+2\right)\left(x-1\right)[/tex]
so the equation becomes
[tex]\left(3x+2\right)\left(x-1\right)=0[/tex]
Using the zero factor principle
[tex]3x+2=0\quad \mathrm{or}\quad \:x-1=0[/tex]
solving
[tex]3x+2=0[/tex]
[tex]3x=-2[/tex]
[tex]\frac{3x}{3}=\frac{-2}{3}[/tex]
[tex]x=-\frac{2}{3}[/tex]
and
[tex]x-1=0[/tex]
[tex]x=1[/tex]
The possible roots of the polynomial will be:
[tex]x=-\frac{2}{3},\:x=1[/tex]
Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.
As an estimation we are told £3 is €4.
Convert £6 to euros.
Plz help (wil give brainliest to best answer)
Answer:
A: Corresponding
B: Alternate interior
C: Corresponding
D: Alternate exterior
E: Same side interior
Step-by-step explanation:
A: One angle is on the interior and one is on the exterior and they are both on the same side of the transversal which makes them corresponding angles
B: Both are in the interior just on opposite sides of the transversal
C: See answer to A
D: Both are on the exterior and they are on opposite sides of the transversal which makes them alternate exterior
E: Both are on the interior on the same side of the transversal which makes them same side interior.
I need help with this ASAP, I’ll give brainliest if correct
Answer:
5 dollars
Step-by-step explanation:
Answer:
The price of an adult ticket is $5
Step-by-step explanation:
5*5=25
31-25=6
4*5=20
62-20=42
42÷7=6
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions
to the nearest hundredth.
x² + 12x+11=0
Which line best fits the data?
A. Line B
B. Line C
C. Line A
D. None of the lines fit the data well
Answer:
Line B
Step-by-step explanation:
Line is between a lot of the dots. Even though it's not directly on any of them, it still is around the them