Multiply length of track by number of times run:
8 x 400 = 3,200 meters
1 km = 1000 meters
3200 meters / 1000 = 3.2 kilometers
Answer: 3.2 kilometers
Match each inequality with its solution set.
1.
5 - 3x ≥ 11
2.
1 + 3x ≥ -5
3.
5x + 7 ≥ 17
4.
2x + 1 ≤ 3
1.
5 - 3x >= 11
-3x >= 11-5
-3x >= 6
3x <= -6
x <= -6/3
x <= -2
x ∈ (-∞ ; -2]
2.
1 + 3x >= - 5
3x >= -5 - 1
3x >= -6
x >= -6/3
x >= - 2
x ∈ [-2 ; + ∞)
3.
5x + 7 >= 17
5x >= 10
x >= 10/5
x >= 2
x ∈ [2 ; + ∞)
4.
2x + 1 <= 3
2x <= 2
x <= 1
x ∈ (-∞ ; 1]
Good Luck
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 25 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
30:1
5:1
3:1
2:1
Answer:
5:1
Step-by-step explanation:
What is the remainder when (3x3 â€"" 2x2 4x â€"" 3) is divided by (x2 3x 3)?.
The remainder of the equation is [tex]\rm 28x+30[/tex].
Given that,
When the equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].
We have to find,
The remainder of the equation?
According to the question,
The equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].
On the division of the polynomial, the remainder is,
[tex]\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}[/tex]
Factorize the equation to convert this into the simplest form,
[tex]\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30[/tex]
Now, the equation can be written as,
[tex]\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\[/tex]
The relation between the divisor, remainder, and quotient is,
[tex]\rm = Quotient + \dfrac{Remainder}{Divisor}[/tex]
On comparing with the equation,
The remainder becomes 28x +30.
Hence, The required remainder of the equation is [tex]\rm 28x+30[/tex].
For more details refer to the link given below.
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Find the volume of a sphere with a diameter of 18.8 cm, . Use 3.14 for π. Round your answer to the nearest tenth.
869.3 cm3
1,956 cm3
1,109.8 cm3
3,477.4 cm3
Answer:
(c) 3,477.4 cm³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so is 18.8 cm/2 = 9.4 cm.
Using this value and the value for pi in the formula, we have ...
V = (4/3)(3.14)(9.4 cm)³ = (4/3)(3.14)(830.584 cm³) ≈ 3477.4 cm³
_____
Additional comment
You will do well to learn how to use a formula, and how to use your calculator to evaluate it. It can be useful to keep perimeter, area, and volume formulas handy for the usual plane and solid figures.
Which of the following fractions is equivalent to 1/7?
1. 3/28
2. 1/14
3. 4/28
4. 3/14
Answer: 3, 4/28
Step-by-step explantation: 1 x 4 is 4, and 7 x 4 is 28. Therefore, 1/7 is equal to 7/28.
Which relation is not a function?
A
{(10,−5),(8,−4),(4,−2),(2,0)}
B
{(1,−2),(1,−4),(1,0),(1,8)}
C
{(−3,9),(−2,4),(−1,1),(1,1)}
D
{(3,10),(5,−5),(6,6),(9,11)}
Answer: B repeating domain is 1
Step-by-step explanation: Repeat domain is not a function. Hope this help:)
Peyton knows that 1/8 means “1 divided by 8.” She uses this to find the decimal equivalent for 1/8
Answer:
Peyton can multiply 1 by 100, to make 100 over 8, and divide 100 by 8 which is 12.5 then dividing by 100 to get .125 which is equal to 1/8
Step-by-step explanation:
Answer: I am assuming the question is asking if Peyton got the decimal equivalent of 1/8 correct. Well, since the question is incomplete, I do not know what Peyton got, however, I can tell you that the decimal equivalent for 1/8 is 0.125
which sign makes the statement true?
A.<
B. >
C. =
Answer:
-7 1/2 equals to -7.5
so
-7.5 ___ -7.75
-7.5 > -7.75
The base area of a box is 36 square inches. If the volume of the box is 108 cubic inches, what is the height of the box?
The height of a box that has a base area of 36 sq. in. and a volume of 108 cubic inches is: 3 inches.
Recall:
The formula for the volume of a box = base area × height
Given the following dimensions:
base area of box = 36 sq. in.
Volume = 108 cubic inches.
Required: height of the box
Plug in the given values into the formula for the volume of a box
108 = 36 × height
Divide both sides by 36
height = 108/36
height = 3 inches
Learn more about the Volume of a box on:
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10,000 candy canes was divided into 50 boxes. How many candy canes were in each box?
Answer:
200
Step-by-step explanation:
Determine the range of the following graph:
Answer: -5 to 8
Step-by-step explanation: We are looking at the y value of each point on the graph, therefore any y value that falls on the line is part of the range
At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what was the total number of people at the stadium?
Insert the values given in the problem then scale up or down to find the missing value.
Answer:
i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.
Step-by-step explanation:
-15x = -75 I need HELP!!!!
Answer:
x=5
Step-by-step explanation:
You divide both sides by -15 which gives you a positive 5
Express the following numbers in usual form:
(i) 8.02×10^-5
(ii) 4.5×10^3
(iii) 7×10^-5
(iv) 1.0001×10^8
(v) 4.3×10^12
(vi) 3.61492×10^5
(i) Given number = 8.02×10^-5
⇛ 8.02/100000
⇛ (802/100)/100000
⇛ 802/10000000
⇛ 0.0000802
The usual form of 8.02×10^-5 is 0.0000802
(ii) Given number = 4.5×10³
⇛4.5×1000
⇛ (45/10)×1000
⇛ 45×100
⇛ 4500
The usual form of 4.5×10³ is 4500
(iii) Given number = 7×10^-5
⇛ 7/100000
⇛ 0.00007
The usual form of 7×10^-5 is 0.00007
(iv) Given number = 1.0001×10⁸
⇛ 1.0001×100000000
⇛ (10001/10000)×100000000
⇛ 10001×10000
⇛100010000
The usual form of 1.0001×10⁸ is 100010000
(v) Given number = 4.3×10¹²
⇛ 4.3×1000000000000
⇛ (43/10)×1000000000000
⇛ 43×100000000000
⇛ 4300000000000
The usual form of 4.3×10¹² is 4300000000000
(vi) Given number = 3.61492×10⁵
⇛ 3.61492×100000
⇛ (361492/100000)×100000
⇛ 361492
The usual form of 3.61492×10⁵ is 361492
5i/x-5i what is the simplest form?
51/x - 5i
this is the answerrrr
Use the following system of equations to determine if each ordered pair is a solution: 1. Is (-4,-2) a solution to the system of equations below? Show your work. -3x+2y=8 x + 2y = -8
Maria's test scores for this semester were: 84, 80, 93, 74, 67, 99, 87, 72, 95, & 98. What is the mean of her test scores (rounded to the nearest whole
percent)?
Answer:
85%
Step-by-step explanation:
Add all the numbers together which gives 849. Divide 849 by 10 because there are ten numbers. This gives 84.9. Round it up to 85%
Gabby took a math quiz last week. There were 28 problems on the quiz and Gabby answered 25% of them correctly. How many problems did Gabby get correct? problems
Answer:
7
Step-by-step explanation:
25% of 28 =
= 0.25 × 28
= 7
Answer: 7
Find the slope of the line passing through the points (-3, 3) and (5, 9).
Answer:
Step-by-step explanation:
9-3/5- -3= slope= 6/8 or 3/4
Reduce the radical 176
Answer: [tex]\boldsymbol{4\sqrt{11}}\\\\[/tex]
Work Shown:
[tex]\sqrt{176}\\\\\sqrt{4*44}\\\\\sqrt{4}*\sqrt{44}\\\\2*\sqrt{4*11}\\\\2*\sqrt{4}*\sqrt{11}\\\\2*2*\sqrt{11}\\\\\boldsymbol{4\sqrt{11}}\\\\[/tex]
The idea is to factor the number such that we pull out perfect square factors. We use the rule that [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex] to help break up the root. We also use the idea that [tex]\sqrt{x^2} = x[/tex] when x is nonnegative.
Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find
tn,and the value n will start at)
10, 20, 60, 240
Answer:
steps below
Step-by-step explanation:
first term: t₁
t₁ = 10
t₂ = t₁ * (1+1) = 10 * 2 = 20
t₃ = t₂ * (2+1) = 20 * 3 = 60
t₄ = t₃ * (3+1) = 60 * 4 = 240
.......
tₙ = tₙ₋₁ * n ... first term: 10, n start at 2
Drag the tiles to the correct boxes.
Put the equations in order from least to greatest number of solutions.
I - 8 - 4 = -1
310| + 3 = 3
3 - 1 + 4 = 10
Reset
Next
Edmentum. All rights reserved.
Answer:
Step-by-step explanation:
1). 3 - | x + 4 | = 10 No solutions
2). [tex]\frac{1}{2}[/tex] | x | + 3 = 3 One solution x = 0
3). | x - 8 | - 4 = - 1 Two solutions x = 5 and x = 11
Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A
we have: ∠A + ∠B = 90°
<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°
<=> 5x + 20 = 90°
<=> 5x = 70°
<=> x = 14°
So: ∠A = 2x - 14 = 2.14 - 14 = 14°
Ok done. Thank to me :>
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If
Erica has at most $10 to spend on
the cab ride, how far could she travel?
Answer: 12.69 miles or less
Step-by-step explanation:
$10 - $1.75 = $8.25
$8.25/$0.65 = 12.69
Select the correct answer,
How does the figure verify the triangle inequality theorem?
Step-by-step explanation:
just think it through. it can only be the first option. the sides 7 and 4 are together 11, and they can only meet, when putting them flat on the 11 side. but yes, if you do that, they will meet, as 11 = 11.
the result would be an extreme triangle : appearing just as one, flat line (length 11), the angles being 180°, 0° and 0°.
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is A.
What is the triangle inequality theorem?The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b) > c(b+c) > a(c+a) > bSides 7 and 4 are together 11, and they can only meet when they are flat on the side with a length of 11 units. However, if you do this, they will meet touch overlap on each other since 11 units = 11 units.
This will result in an extreme triangle which will more of look more like a straight line and will have angles of measure as 180°, 0°, and 0°.
Learn more about the Triangle Inequality Theorem:
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Find the volume of a sphere with a radius of 8.6 cm. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
2664.3
Step-by-step explanation:
Hope this helps!
5. What are the solutions to the equation (x - 1)(x + 2) = -2?
I hope this helps. Comment if any doubt.
27 subtracted from a number can be written as?
Answer:
example : 100- 27= 73
Step-by-step explanation:
you take a number and then subtract by the number that you were given. I hope this helps!!
Answer:
27 - x (expression that it can be written as)
A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the bowl is 2/5. There are fewer than 100 marbles in the bowl. What is the probability of selecting a green marble and then a red marble from the bowl on the first two selections, assuming marbles are not returned to the bowl after being pulled
====================================================
Explanation:
3/13 = 15/65 after multiplying top and bottom by 5
2/5 = 26/65 after multiplying top and bottom by 13
Let's say there are 65 marbles in the bowl. That would mean 15 of them are red (since 15/65 reduces to 3/13) and 26 are blue. That gives 15+26 = 41 so far. Leaving 65-41 = 24 marbles that must be green.
The probability of selecting a green marble is 24/65. Once that first green marble is taken out, it is not replaced. We have 65-1 = 64 marbles left, 15 of which are red. The probability of picking red on the second selection is 15/64.
Multiply the fractions mentioned:
(24/65)*(15/64)
(24*15)/(65*64)
360/4160
9/104
what is 5,272 divided by 8 give the answer step by step
Answer: 659
Step by step solution:
Answer:
659
Step-by-step explanation:
0659
8 5272
0
52
48
47
40
72
72
0
Dividend:
5272
Divisor:
8
Quotient:
659
Remainder:
0
You may have to write this on paper because it might be hard for you to understand. I'm sorry if this isn't helping and it is very confusing, this is the only way that I could explain it. Thank you for the question and I hope you enjoy your answer :)
