Answer:
5/2, 9/4 and 19/7.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not = 0).
Michael can swim 5 lengths of a swimming pool in 130 seconds.
Use this information to show that he could swim 100 lengths in under 45 minutes
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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Solve for M:
3 + 2M = 10 - 6 + 2M
PLS HELP
Answer:
No solutions
Step-by-step explanation:
We can go through this one step at a time to figure out what M is equivalent to. First, let's write out our whole equation:
3 + 2M = 10 - 6 + 2M
I always like to combine like terms first. It looks like there are two like terms on the right side of our equation... 10 and -6. I can combine those to get 4. Now I have the following equation:
3 + 2M = 4 + 2M
Now, let's remove 2M from both sides.
3 + 2M - 2M = 4 + 2M - 2M
3 ≠ 4
We got an answer of 3 = 4, which is not true (that's why I put a ≠ between them instead of a =). What do we do with this information? Well, since we got an untrue statement as an answer, we know that no number is equivalent to M, or, there are no solutions.
Hopefully that's helpful! :)
Answer:
There are no values of M that make the equation true.
Step-by-step explanation:
what is the value of a rectangular prism with a length of 2x, a width of x-2, and a height of x+2?
Answer:
what do you mean by x?
Step-by-step explanation:
What is 4.06 increased by 17?
please help me
Answer:
21.06
Step-by-step explanation:
4.06 increased by 17
4.06 + 17
21.06
Select the correct answer. The probability that Ashley drives faster than the speed limit (event A) is 0. 34, and the probability that he gets a speeding ticket (event B) is 0. 22. The probability that he drives faster than the speed limit, given that he has gotten a speeding ticket, is 1. Are events A and B dependent or independent? A. Dependent B. Independent C. Insufficient data D. Depends on the other events in the sample space.
Answer:
Depends on other factors, although I'm not certain, so to speak.
Step-by-step explanation:
We don't know the probability of Ashley getting a speeding ticket when he is not speeding. [It happens].
Otherwise, event B is dependent on event A. Speeding must occur to initiate event B.
Which statement about the lines below is true?
4y = -16 and 3x = 27
Select all that apply.
A Line 4y = -16 is horizontal.
B. Line 3x = 27 is vertical.
O
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.
Answer:
All these statements are true. See explanations, below.
Step-by-step explanation:
A Line 4y = -16 is horizontal. TRUE. Note that y = -4 here.
B. Line 3x = 27 is vertical. TRUE. Note that x = 9, which is a vertical line.
C. For both lines, all points on the line have an x- and a y-coordinate. TRUE. But for 4y = -16, the y-coordinate is always the same: -4; for x = 9, the x-coordinate is always the same.
D. For either line, one of the coordinates of all the points is always the same value. TRUE (See C above)
Solve for x. Round to the nearest tenth, if necessary. S 210 X 5.5
Answer:
1155.0
Step-by-step explanation:
GIVING BRAINLIEST!
A hot air balloon is tied to the end of a 60-m rope. When the balloon is at an altitude/vertical height of 50 m, what angle of elevation does the rope make with the ground? Round your final answer to the nearest tenth of a degree.
Answer:
83.333 degress
Also where i solved for side a is pointless i just realised :p
Step-by-step explanation:
okay Imma head into some trig stuff here so sorry.
the hypotenuse of the triangle would be 60m
the height is 50m
Using pythag theorem we can concur that a = 10.488
a = 10.488
b= 50m
c = 60m
now we just use sin (feta) = 50/60
sin(feta) = .8333
or 83.3 degress.
-Gage Millar, Algebra 1/2 tutor
Candace is considering trying the Spice Tea. What is the greatest number of 1-pound bags of Dark Roast coffee she can buy with
$52, if she also buys 0.5 pound of the Spice Tea and 2 pounds of the Morning Blend coffee?
Answer:
Step-by-step explanation:
69
The polynomial x^3 + 8 is equal to?
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).
Write a mathematical question that explains the following sentence:
two more than triple a number is fourteen
two more than triple a number is fourteen might be 2×7=14
Evaluate -(2-6)(23).
O A. -8
O B. 33
O c. - 3
O D. 8
A production line produces 34 of a mile of yarn every 14 of an hour. What is the unit rate of miles of yarn per hour?
The required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.
Given that,
A production line produces 34 a mile of yarn every 14 an hour. The unit rate of miles of yarn per hour is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Unit rate = line produced / time
Unit rate = 34 / 14 = 2.43 miles of yarn per hour.
Thus, the required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.
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cuanto es "y=2x + 5" ??
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(2*x+5)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-2x-5 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 5/1 = 5.00000
Calculate the X-Intercept :
When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000
x-intercept = 5/-2 = -2.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 4.000/2.000 = 2.000
Geometric figure: Straight Line
Slope = 4.000/2.000 = 2.000 x-intercept = 5/-2 = -2.50000 y-intercept = 5/1 = 5.00000Define power of 10 rule
Answer:
A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.
Step-by-step explanation:
Answer:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Step-by-step explanation:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Find the value of x in each case
Answer:
Step-by-step explanation:
∠AEB + ∠FEC = 180 {linear pair}
∠AEB = 180 - 4x
DE // AB , AE is transversal,
∠EAB = ∠DEA {Alternate interior angles}
∠EAB = 2x
∠EBC = ∠AEB + ∠EAB {Exterior angle property}
6x = 180 - 4x + 2x
6x = 180 - 2x
Add 2x to both sides
6x + 2x = 180
8x = 180
x = 180/8
x = 22.5
How do i find the slope-intercept form for 6x=8y+10
Answer:
y = 3/4x - 5/4
Step-by-step explanation:
6x=8y+10
Well you must first get your equation set up into the form called "Slope intercept."
6x=8y+10
Add 8y on both of your sides because your y is suppose to be alone.
8y + 6x = 10
Subtract 6x on both sides since it is in fact the opposite of addition.
8y = 6x + 10
Now, you will divide by 8 on both sides. When doing this your y will be alone.
y= 6/8x + 10/8
Note: You can leave it like this but you want to probably simplify.
y = 3/4x + 5/2
or
y = 3/4x - 5/4
(Hope this helps can I pls have brainlist (crown)☺️)
evalute ½(7-3)-(4-10)
Answer:
8
Step-by-step explanation:
1/2(4)-(-6) BODMAS method
2-(-6)
2+6
8
a polygon has a interior angle 172
find the number of sides of this polygon
Answer:
45 sides
Step-by-step explanation:
exterior angle + interior angle = 180° , that is
exterior angle + 172° = 180° ( subtract 172° from both sides )
exterior angle = 8°
The sum of the exterior angles of a polygon = 360°
To find the number of sides n , divide 360° by 8°
n = 360° ÷ 8° = 45
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides
A lifetime subscription to a website cost $250. A monthly subscription to the website cost $10 to join and $15 per month, write an equation in slope-intercept form to represent the cost of each plan
Answer:
250=15x+10
Step-by-step explanation:
250=y
10=b
15 is how much you are paying consantly
The equation in slope-intercept form to represent the cost of each plan is 250=15x+10.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, a $ 250 lifetime online membership was required. The website's membership costs $10 to enroll and $15 each month.
If x is the number of months, the equation in slope-intercept form to represent the cost of each plan is,
y=mx+c
250=15x+10
Thus, the equation in slope-intercept form to represent the cost of each plan is 250=15x+10.
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NEED HELP ASAP! WILL GIVE BRAINLIEST!
Choose the graph that represents the following system of inequalities: y ≥ −3x + 1 y ≤ 1 over 2x + 3 In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Answer:
(a)
Step-by-step explanation:
Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line
Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?
Answer:
18 liters of 6% substance B
42 liters of 2% substance A
Step-by-step explanation:
let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%
6x + 2(60 - x) = 3.2(60)
distribute
6x + 120 - 2x = 192
Combine like terms
4x = 72
Divide bothsides by 4
x = 18 liters of 6%
60 - x = 42 liters of 2%
Here is a linear sequence.
4 11 18 25
Work out an expression for the nth term.
Answer:
7n-3
Step-by-step explanation:
You find the difference, 11-4 is 7, 18-11 is 7 ect. This is how we get the 7n. And because it is a linear sequence, we won't have to worry about finding the second difference. So then you get 7 and minus it from the first term. 4-7 is -3. Which is were we get the last part of our equation from. And we can checn this by inputting the number 1, for the first term. 1 times 7 is 7, -3 which is 4. This shows it is right and your answer is 7n-3.
Find the coordinates of point X if the midpoint of XY is (3,-5) and the coordinates of point
Y is (7,1)
Answer:
(7, -1) maybe...
What is the value of y? y = 40 y = 80 y = 100 y = 120.
Answer:
I think it is 80. But I am also not sure because this question is not briefly described.
Answer:
80
Step-by-step explanation:
got it right on edge
I need help on this question
Which of the following equations is steeper?
y=-2x+1
y=-5/4x+7
y=x-1
y=5x-1
Answer:
Option 4: y = 5x - 1
Step-by-step explanation:
The slope, or rate of change, represents the ratio of the vertical change (in y) to the horizontal change (in x) of points along the line. Thus, the slope is a means of measuring the steepness of a given line.
Generally speaking, slopes with higher values tend to have steeper lines.
Compare the slopes:In comparing the slopes of the given options:
Option 1: slope = -2
Option 2: [tex]\LARGE\mathsf{slope = -\frac {5}{4}}[/tex] or 1.25
Option 3: slope = 1
Option 4: slope = 5
Option 4 has the highest slope of 5. Therefore, the graph of y = 5x - 1 has the steepest line.
Attached is the graphed equations to prove that the graph of the equation in Option 4 has the steepest line.
Solve (x – 3)² =5 give your answers to the correct 3 significant figures
Answer:
5.236
Step-by-step explanation:
can someone help me solve questions 29-31 pls
Answer:
100.
...................
Jim donates 22% of his monthly salary to charity. If his monthly salary is $2257, approximately how much of his salary does Jim keep?