Answer:
Yes, he can swim 100 lengths in under 45 minutes.
Step-by-step explanation:
First we divide 100 by 5
100 ÷ 5 = 20
Now we can multiply this by 130 seconds
Now we have 2600 seconds
Since 1 minute is 60 seconds we divide 2600 by 60 seconds
2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.
This is all assuming his rate is constant.
Micheal takes 43.333 minutes to swim 100 lengths.
What is length?Length is a measurement or extent of something from one end to another end.
The SI unit of length is meter.
Given that,
To cover 5 lengths, time taken by Micheal = 130 seconds,
Therefore,
Time taken by Micheal to cover 1 length = 130/5 = 26 seconds
Time to cover 100 length = 26×100=2600 seconds
1 minute = 60 seconds
100 length is covered = 2600×1/60 minute
= 43.333 minute
So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.
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The lines represented by the equations y + 3/2x = -6 and 3y – 2x = -24 are
parallel
neither parallel nor perpendicular
perpendicular
the same line
Answer:
Neither Parallel nor Perpendicular
Step-by-step explanation:
Convert 3y - 2x = -24 to slope - intercept form
3y - 2x = -24
3y = -24 + 2x
3y = 2x - 24
y = 2/3x - 8
They are neither parallel or perpendicular
Parallel lines have the same slope, but these are different
Perpendicular lines have the opposite inverse (negative reciprocal) slope, but these are just reciprocals
-Chetan K
Josh purchased a DVD for $10.80, before taxes. The price was after a 25% discount. What was the original price of the DVD?
Answer:
$
2.70
Step-by-step explanation:
x-1=0 pls answer me I'll give u 10 points
Answer: x=1
Add 1 to both sides x-1=0 x-1+1=0+1
A line includes the points (7, –7) and (11, –3). What is its equation in slope-intercept form?
divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining
Answer:
72
Step-by-step explanation:
If it wrong i'm sorry
A line that includes the points ( – 4, – 6) and (5,v) has a slope of – 2/9 . What is the value of v?
Answer:
v is -8
Step-by-step explanation:
The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We are given the slope, so let's write:
y = -(2/9)x + b
We can find b by using the one fully given point, (-4, -6).
y = -(2/9)x + b
-6 = -(2/9)(-4) + b
b = -6 - (8/9)
b = -(62/9)
Now we have y = -(2/9)x - (62/9)
We want the value of y when x is 5 to find v in (5,v):
y = -(2/9)x - (62/9)
y = -(2/9)(5) - (62/9)
y = -(10/9) - (62/9)
y = -(72/9)
y = -8
v is -8
what is the output when in the input is 7
Answer:
If the input is 7 then output is:-Tiny Small. Explaination: - 7 is smaller than 10 so output is tiny.
If a+ b = 6 and ab = 2 find a^3 + b^3
Answer: 180
Step-by-step explanation:
This is just testing if you know the sum of cubes formula:
[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]
Plugging in the respective values, you get
[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]
How do i find the measure of <2 in this equation?
Answer:
142
Step-by-step explanation:
It is equal to the one above it.
I hope this helps!!
i need answers thank you
How do i find the value of x in this equation?
Answer:
5x-10=60
5x=70
x=14
Hope This Helps!!!
Answer: 14
Step-by-step explanation:
Thr two angles are equal, so we can write:
5x-10 = 60
5x = 70
x = 14
Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.
Answer:
its 19 ur welcome byeeee
Step-by-step explanation:
Using the slope and the y-intercept, graph the line represented by the following equation. Then identify the figure
showing that graph.
2x-y+4=0
Hal has just graduated from four years of college. For the last two years, he took out a Stafford loan to pay for his tuition. Each loan had a duration of ten years and interest compounded monthly, and Hal will pay each of them back by making monthly payments, starting as he graduates. Hal’s loans are detailed in the table below. Year Loan Amount ($) Interest Rate (%) Subsidized? Junior 4,048 5. 9 N Senior 5,295 7. 6 Y Once all of his loans are paid off, what will Hal’s total lifetime cost be? Round all dollar values to the nearest cent. A. $9,023. 28 b. $8,467. 20 c. $11,498. 40 d. $13,615. 20 Please select the best answer from the choices provided A B C D.
Answer:
d
Step-by-step explanation: i chose d
if (x-10) is a factor of f(x), which of the following must be true? (50 points)
A. Neither x= -10 or x=10 are roots of f(x)
B. f(-10)=0
C.f(10)=0
D. Both x=10 and x=-10 are roots of f(x)
Answer:
C, f(10)=0
Step-by-step explanation:
Just replace x-10 into f
is 6,8,9 a pythagorem theorem? pls help me due rn
Answer:
No, it isn't.
Step-by-step explanation:
Pythagorean theorem is x^2 + y^2 = z^2.
6^2 + 8^2 = 9^2
36 + 64 = 81
100 = 81
So, it isn't.
Answer:
No.
Step-by-step explanation:
36+64 does not equal 9² (81)
(X-3)(X-12)
Expand and simplify
Answer:
x^2-15x+36
Step-by-step explanation:
x(x-12)-3(x-12)
x^2-12x-3x+36
x^2-15x+36
Answer: X^2 -15x + 36
Step-by-step explanation:
(X-3) (x-12)
Multiply each term in the first bracket by each term in the second bracket
X^2 -12x -3x + 36
Collect like terms
X^2 -15x + 36
The line given by y=2x+1,and the circle given by (x+1)^2+y^2=1 are graphed.
Answer:hhfff
Step-by-step explanation:
The required solutions to the line intersecting the circle at the points are x = -1, y = -1, and x = -0.2; y =0.6.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
The graph correctly defines one solution.
The straight line intersects the circle at point A in the third quadrant.
The coordinates of point A are (-1,-1).
Hence, the solution is: x = -1,and y = -1
(x+1)² + y² = 1 and y=2x+1
Solving for 'x'
(x+1)² + (2x+1)= 1
x²+1+2x + 4x² + 1 + 4x =1
5x² + 6x + 1 = 0
(x+1/5)(x+1) = 0
(x+1/5) = 0 and (x+1) = 0
x = -1/5 and x = -1
For x = -1
y = 2(-1) +1 = -2+1 = -1
For x = -1/5
y = 2(-1/5) +1 = -2/5 + 1 = 3/5
Hence, the solution is : x = -0.2 and y =0.6
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The question seems to be incomplete the missing part has been attached below
What is the distance between (-4,-8) and (2,3)?
Answer:
Always computable as rightmost x value minus leftmost value: 4 - (-8) = 12
Richard sold cupcakes and cookies yesterday. Each cupcake sold for $1.75 and each cookie sold for $0.75. At the end of the day, Richard had sold $49.25 worth of cookies and cupcakes. If he sold 35 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold?
Answer:
20 cupcakes
15 cookies
Step-by-step explanation:
20*$1.75=$35
15*$0.75=$14.25
$35+$14.25=$49.25
Answer:
23 cupcakes and 12 cookies
Step-by-step explanation:
After solving a series of mathematical problems using a complicated formula, Mark uses the same formula to solve another problem he could have solved using a much simpler formula. Mark's continued reliance on the complicated formula BEST illustrates:
Answer:
C. mental set
Step-by-step explanation:
A mental set generally refers to the brain's tendency to stick with the most familiar solution to a problem and stubbornly ignore alternatives. This tendency is likely driven by previous knowledge (the long-term mental set) or is a temporary by-product of procedural learning (the short-term mental set).
Examine the solution to the equation
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30 + 3 = -2x - 8 - 4x
-6x-27 = -6x - 8
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation
O Any input value for the variable will generate a false
equation.
-27 = -8
Answer:
option (2) and (5) is correct.
2) This equation has no solution.
5) Any input value for the variable will generate a false equation.
Step-by-step explanation:
Given a solution to the equation,
-6( x + 5) + 3 = -2( x + 4) - 4x
⇒ –6x – 30 + 3 = –2x – 8 – 4x
⇒ –6x – 27 = –6x – 8
⇒ –27 = – 8
Which is false statement as -27 is never equal to -8.
Thus, This equation has no solution.
Also, if we substitute any value of x , then also the equality never hold.
For example lets put x = 1 in -6( x + 5) + 3 = -2( x + 4) - 4x , we get,
⇒ -6( 1 + 5) + 3 = -2( 1 + 4) - 4(1)
⇒ -6( 6) + 3 = -2(5) - 4
⇒ -36 + 3 = -10 - 4
⇒ -33 = -14
Still the value is false as -33 is never equal to -14.
Any input value for the variable will generate a false equation.
Thus, option (2) and (5) is correct.
(23+7)×4
=
+7×4
=
×4
=
Answer:
Step-by-step explanation:
i showspeed
HELP PLEASE 100 POINTS
Answer:
118 is the answer.Step-by-step explanation:
All pentagons angles = 540
540 - 107 - 100 - 96 - 119 = 118
118 is the answer.Hope it helped!
Kavitha
Answer:
The answer above is in fact correct
Step-by-step explanation:
107+100+96+119+118=540
can someone help mee pleaseee
f(x) = x^2 - 13x + 30
Step-by-step explanation:
A quadratic equation may be expressed as a product of the two binomials. The roots of the equations are 3 and 10, so the factors are (x-3) and (x-10).
f(x) = (x-3)(x-10)
f(x) = x^2 - 13x + 30
A bag of grass seed weighs 5.8 pounds. How many pounds would 2.5 bags weigh
Answer:
Answer: 14.5 pounds
Step-by-step explanation:
Step-by-step explanation: Do 5.8 times 2.5
Answer:
14.5 lb
Step-by-step explanation:
1 bag weighs 5.8 lb.
2.5 bags weight 2.5 × 5.8 lb
2.5 × 5.8 lb = 14.5 lb
help help help help pls
Answer:
hope this helps
Step-by-step explanation:
a. 1/4 as a power of 2 = root 4 v/2
b.
Radium-226 mass decays to 1/4 of it mass every 6400 years
64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr
now its current mass is 16gr
16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr
again, its current mass after 12800 years is 4gr
4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr
why 4600 3 times? = 4600+4600+4600 = 19200 years
the remaining mass after 19200 years is 1gr
(Hurry) guys pls help me, i don’t understand what my teacher taught me
Answer:
Step-by-step explanation:
me too i dont know
Answer:
8 cm≈ 117.6 cm³Step-by-step explanation:
Total surface area:
A = 4(1/2*7*l) + 7² = 14l + 49, where l is a slant heightWe are given:
A = 161 cm²Find the value of l:
14l + 49 = 16114l = 112l = 112/14l = 8 cmUse Pythagorean to find the height h of the pyramid:
l² = h² + (7/2)²8² = h² + 3.5²h² = 8² - 3.5²h² = 51.75h = √51.75h ≈ 7.2 cmFind the volume:
V = 1/3BhV = 1/3*7²*7.2V = 117.6 cm³Tim's phone service charges $24.25 plus an additional $0.18 for each text message sent per month. If Tim's phone bill was $28.75, which equation could be used to find how many text messages, x, Tim sent last month?
What is a simple way to find 12 mod 7 + 12 mod 7 + 12 mod 7 + 12 mod 7?
12 ≡ 7 + 5 ≡ 5 (mod 7)
so
12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)