The ratio of the time levon spent on the treadmill to the time he spent lifting is 5/7 or 5:7
Step-by-step explanation:
Given
Time spent on treadmill = [tex]T_t = 25\ min[/tex]
Time spent on weight lifting = [tex]T_w = 35\ min[/tex]
We have to find the ratio of the time Levon spent on the treadmill to the time he spent lifting
The ratio will be denoted by r
[tex]r = \frac{T_t}{T_w}\\=\frac{25}{35}\\[/tex]
Simplifying the fractions
[tex]=\frac{5*5}{7*5}\\=\frac{5}{7}[/tex]
The ratio of the time levon spent on the treadmill to the time he spent lifting is 5/7 or 5:7
Keywords: Ratio, fraction
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A. 231
B. 39
C. 129
D. 51
Answer:
the answer is
129
Step-by-step explanation:
cyclic
After dividing a piece of wood into four equal sections,each section is 4 in.long.How long was the piece of wood I started with
I'm going to out on a limb and say 16 in.
4 pieces * 4 in. = 16
Why are the elements placed into groups/families?
Answer:
The vertical columns on the periodic table are called groups or families because of their similar chemical behavior. All the members of a family of elements have the same number of valence electrons and similar chemical properties. The horizontal rows on the periodic table are called periods.
Step-by-step explanation:
What is the value of the expression (-8/9)*(-2/3) multiplied by (-4 1/2)
Answer:
-8/3
Step-by-step explanation:
-4 1/2=-9/2
(-8/9)(-2/3)=16/27
(16/27)(-9/2)=-144/54
-8/3
HELP ASAP QUICK QUESTION : I just need to know, when you work out the length of the missing side do you put cm for the units or not???
Answer: Yes, you put cm for the units of the missing side
Step-by-step explanation:
Here is a math question I need help with, offering 20 points for full answer.
Answer: 8 sqrt7
Step-by-step explanation:
21. Alcohol's effect on the circulatory system can lead to
A. O heat loss
B. O a feeling of warmth
C. O Both A and B
which rate describes a unit price
$0.35 per minute
$0.75 per 1/2 cup
$1.00 per 3/4 cup
$4.00 per 4 minutes
Answer:
$0.35 per minute
Step-by-step explanation:
Rate in terms of unit price is something made in 1 unit (seconds, cups, minutes etc.)
per minute refers to per 1 minute
Answer:
The answer is A 0.35 per minute
Step-by-step explanation:
Richard earns $10.50 per hour at his summer job. He worked a total of 275 hours over the summer. If 40% of the money he earned was put in his savings account, how much was put in the savings account?
Multiply his pay rate by number of hours worked:
$10.50 x 275 hours = $2887.50
Now multiply his earnings by 40%:
2887.50 x 0.40 = 1155
He saved $1,155
The sum of the digits of a two-digit number is 11. If we interchange the digits then the new number formed is 45 less than the original. Find the original number.
Answer:
38
Step-by-step explanation:
the value of the number is 10*y (y is the tens digit) + x = 10x( now x is the tens digit) + y +45
9x+45=9y
x+5=y
x+y=11
x=11-y
x-11=-y
y=11-x
x+5=11-x
2x=6
x=3
y=8
original number is 38
Which statement is true about the equations -3x + 4y = 12
The system of the equations has exactly one solution at (-8, 3).
The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.
Answer:
D)
Step-by-step explanation:
write an equation of a line that is parallel to the line containing the points (0,-7) and (5,12)
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
[tex](x_ {1}, y_ {1}) :( 0, -7)\\(x_ {2}, y_ {2}) :( 5,12)[/tex]
Thus, the slope of the line is:
[tex]m = \frac {y- {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {12 - (- 7)} {5-0} = \frac {12 + 7 } {5} = \frac {19} {5}[/tex]
By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will be of the form:
[tex]y = \frac {19} {5}x + b[/tex]
Answer:
[tex]y = \frac {19} {5}x + b[/tex]
jina deposits $300 into an account that pays simple interest at a rate of 5% per year.How much interest will she be paid in the first 6 years?
Answer:402.03
Step-by-step explanation:
Increasing by 5% is just multiplying by 1.05 then you repeat step for x amount of years
p= -5x2 + 70x - 165
For this case we have the following quadratic equation:
[tex]p = -5x ^ 2 + 70x-165[/tex]
To find the roots, we equal 0.
[tex]-5x ^ 2 + 70x-165 = 0[/tex]
Where:
[tex]a = -5\\b = 70\\c = -165[/tex]
The solution will be given by:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]
Substituting we have:
[tex]x = \frac {-70 \pm \sqrt {70 ^ 2-4 (-5) (- 165)}} {2 (-5)}\\x = \frac {-70 \pm \sqrt {4900-3300}} {- 10}\\x = \frac {-70 \pm \sqrt {1600}} {- 10}\\x = \frac {-70 \pm40} {- 10}\\x = - (-7\pm4)[/tex]
We have two roots:
[tex]x_ {1} = 7-4 = 3\\x_ {2} = 7 + 4 = 11[/tex]
Answer:
[tex]x_ {1} = 3\\x_ {2} = 11[/tex]
28. Emily is buying some graduation pictures. She pays $25 for the sitting and $15 for each
sheet of pictures she buys. (make a table if it helps)
a. How much does she pay for 5 sheets of pictures?
b. How much does she pay for "x" sheets?
c. How many sheets can she buy for $145?!
a. She pays $100 for 5 sheets
b. 25+15x dollars for x sheets
c. 8 sheets
Step-by-step explanation:
Given
Sitting cost = $25
Per sheet picture cost = $15
Let p be the number of sheets of pictures
Then the cost can be written as a function of p
[tex]c(p) = 25+15p[/tex]
Now,
a. How much does she pay for 5 sheets of pictures?!
Putting p = 5 in the function
[tex]c(5) = 25 + 15(5)\\= 25+75\\=100[/tex]
She will pay $100 for 5 sheets of pictures
b. How much does she pay for "x" sheets?
Putting x in place of p
[tex]c(x) = 25+15x[/tex]
c. How many sheets can she buy for $145?
We know the cost now, we have to find p so,
[tex]145 = 25+15p\\145-25 = 25+15p-25\\120 = 15p[/tex]
Dividing both sides by 15
[tex]\frac{15p}{15} = \frac{120}{15}\\p = 8[/tex]
Hence,
She can buy 8 sheets for $145
Keywords: Linear equation, Algebraic functions
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Please help me with this question I need to eat when im dOne with ThiS!!!!
Answer: Ham 1 3/4 is your answer
Step-by-step explanation: you just divide them all
$14.50 divided by 1 3/4 =$8.28
$26.25 divided by 2 1/2 =$10.5
$5.50 divided by 3/8 =$14.66
ERROR ANALYSIS need answer in a least a hour or so please help,what is the error
Answer:
Step-by-step explanation:
1) Sin² Ф = 1 - cos² Ф
So, 1 - Sin² Ф = 1 - (1 - cos² Ф)
= 1 - 1 + cos² Ф = cos² Ф
2) tan x = Sin x /Cos x
tan x * csc x = Sin x /Cos x * 1/Sin x = Sinx * 1 / cos x * sin x
=1/cos x = Sec x
Fenyang got 6 rabbits to raise on his farm. From the following month forward, the rabbit population
doubled every month.
Let g(n) be the number of rabbits in Fenyang's farm in the nth month since he got the rabbits.
g is a sequence. What kind of sequence is it?
a-arithmetic sequence
b-geometric sequence
Complete the recursive formula for g(n).
g(1)=_________
g(n)=g(n-1) _______
NEED HELP NOW!
Answer:
g is a geometric sequence.
g(1) = 6
g(n) = g(n-1)*2
Step-by-step explanation:
A geometric sequence is one in which each next term is found by multiplying the previous term by a constant number.
In our case the rabbit population doubles each month, therefore we are multiplying the population of the previous month by 2 to get the population of the next month. Thus g(n) is a geometric sequence.
The sequence described is a geometric sequence with a ratio of doubling each month. The recursive formula for the sequence is g(1) = 6 and g(n) = 2*g(n-1).
Explanation:The sequence described is a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the ratio. In this case, that ratio is 2 because the rabbit population doubles every month.
When providing the recursive formula for the function g(n), the first term, g(1), would be 6, as that is the number of rabbits Fenyang started with. For any other term in the sequence, g(n), it would be twice the previous term, g(n-1). So, the complete recursive formula for the sequence would be:
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quick! can someone please explain 9 1/6 - 8 5/6 ??
The 9 at the side on the fraction represents one full 6/6
So by taking one out, it will give the top number an extra 6.
Write a sentence about a real-life situation that matches the equation |-29|=29.
Answer:
an object is 29cm away from the mirror how far is the image from the mirror. if the distance of object from mirror = distance of image from mirror
answer in absolute value
Final answer:
A real-life situation that matches the equation |-29|=29 could be measuring the distance between two opposite points on a number line.
Explanation:
A real-life situation that matches the equation |-29|=29 could be measuring the distance between two opposite points on a number line. For example, suppose you have a number line with -29 on one end and 29 on the other end. The absolute value of -29 is 29, which represents the distance between the two points.
An elevator can hold at most 2500 pounds if 10 adults with an average mass of 80 kg each get on the elevator can elevator carry them
The elevator can carry the adults with average mass of 80 kg.
Step-by-step explanation:
Given
Capacity to weight that can be hold by elevator = 2500 pounds
Average mass of one adult = 80 kg
Average mass of 10 adults = 80*10 = 800kg
We need to have the weights in same unit in order to determine whether the elevator can carry the adults or not.
We will convert the weight of 10 adults into pounds.
1 kg = 2.205 pounds
800 kg = 800*2.205 = 1764 pounds
Therefore,
1764 pounds < 2500 pounds
The elevator can carry the adults with average mass of 80 kg.
Keywords: conversion, multiplication
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By converting the average mass from kilograms to pounds and multiplying by the number of adults, the total weight is calculated to be 1763.696 pounds, which is under the elevator's capacity of 2500 pounds, so the elevator can carry them safely.
Explanation:The student is asking whether an elevator would be able to carry 10 adults with an average mass of 80 kg each without exceeding its maximum weight capacity of 2500 pounds. To answer this, we will first convert 80 kg to pounds and then multiply by the number of adults to find the total weight. After that, we can compare the total weight with the maximum capacity of the elevator.
First, let's convert the average mass of one adult from kilograms to pounds. Since 1 kg is equal to approximately 2.20462 pounds, we can calculate like this:
80 kg * 2.20462 lbs/kg = 176.3696 lbs per adult
Now, multiplying this by 10 adults:
176.3696 lbs/adult * 10 adults = 1763.696 lbs for 10 adults
When comparing this total weight of 1763.696 pounds to the elevator's maximum capacity of 2500 pounds, we see that the weight of 10 adults is less than the elevator's capacity.
Therefore, the elevator can safely carry 10 adults with an average mass of 80 kg each.
What is the value of tan a ? 24/7 24/25 7/25 or 7/24
Answer:
24/7
Step-by-step explanation:
tan(A)=BC/AC
in the right angle triangle as shown in figure we can see
tan(A)=BC/AC
tan(A)=perpedicular /base
perpendicular is just opposite of Angle(A) that is BC and base is AC
so tan(A)=BC/AC
what expression represents five time the quotient of some number and ten?
A: 5 ( 10 - z )
B: 5 ( z / 10 )
C: z ( 10 / 5 )
D: 5 ( z - 10 )
Answer: B
Step-by-step explanation:
First off, choices A and D can be elimination because you are not subtracting. In choice C, we have 10 divided by 5 as opposed to z divided by 5. The answer is B.
What is the quotient of 3227/555? What is the repetend?
Answer:
A repeating or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating (i.e. all except finitely many digits are zero). For example, the decimal representation of
1
/
3
becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is
3227
/
555
, whose decimal becomes periodic at the second digit following the decimal point and then repeats the sequence "144" forever, i.e. 5.8144144144.... At present, there is no single universally accepted notation or phrasing for repeating decimals.
The infinitely repeated digit sequence is called the repetend or reptend. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros.[1] Every terminating decimal representation can be written as a decimal fraction, a fraction whose divisor is a power of 10 (e.g. 1.585 =
1585
/
1000
); it may also be written as a ratio of the form
k
/
2n5m
(e.g. 1.585 =
317
/
2352
). However, every number with a terminating decimal representation also trivially has a second, alternative representation as a repeating decimal whose repetend is the digit 9. This is obtained by decreasing the final (rightmost) non-zero digit by one and appending a repetend of 9. 1.000... = 0.999... and 1.585000... = 1.584999... are two examples of this. (This type of repeating decimal can be obtained by long division if one uses a modified form of the usual division algorithm.[2])
Step-by-step explanation:
Line A is perpendicular to line B. Which statement about lines A and B is true
Answer:
Product of slope will be -1.
Step-by-step explanation:
We know that slope of the line describes its orientation , where tangent of the angle made by the line with the x axis will be the slope of the line .
Since here , We are given that line A and B are perpendicular to each other ,
If one line makes the angle a with x axis then other will make -(90-a) ,
So product of slope of the given lines will be , tan(a).tan-(90-a) = -1.
Now , sum of slopes can't be zero as they are not equal in magnitude
And , also slope are not equal as orientation of the lines are different.
Option A is the correct answer. Product of slopes of the lines will be -1.
Answer: Product of slope will be -1.
Step-by-step explanation:
Some equations have the form y=kx, where k is a number. Drag each equation to the correct category below
Answer:
Step-by-step explanation:
Has the form y = kx :
y = -0.05x
y =50x
Can be put in the form of y = kx:
y/7 = x
y/x = 6.5
other:
y = 1/5x - 1/5
2x + 1/2 = y
The equation y=kx is a form of a linear equation where there is a direct proportionality between the variables 'y' and 'x'. This equation reflects a direct variation scenario, where 'y' increases or decreases as 'x' does.
Explanation:The question pertains to the understanding and categorization of linear equations, which are frequently used in Mathematics and Physics. You mention the equation y=kx, where 'k' is a number. It's a simplified version of the standard linear equation, y = mx + b, where 'm' is the slope (rate of change) and 'b' is the y-intercept (the value of 'y' when 'x' is zero). When 'b' is zero, we have the equation y=mx or in your context, y=kx, a direct proportionality.
For instance, if we see the equation y = 6x, it fits the category of y=kx where the 'k' value is 6. Such equations show a direct variation 'y' with 'x', meaning when 'x' increases or decreases, 'y' will also increase or decrease respectively.
Other forms of equations such as quadratic relationships or inverse relationships occur when the variables have a different kind of interaction, such as being squared or inversely proportional to each other.
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Find the interest earned in an account with 3,600 invested at 3 1/2% simple interest for 5 years at
Answer:
Total Interest earned is $630.
Step-by-step explanation:
Principal = $3,600
Time = 5 Years
Interest Rate = 3 1/2% = 7/2% = 3.5%
Interest = Principal x Time x Interest Rate
Interest = $3,600 x 5 x 0.035
Interest = $630
Consider the transformation of a ΔABC to produce a ΔDEF. Which sequence of transformations results in triangles similar but not congruent?
A) horizontal reflection, then vertical reflection
B) translation 4 units right, then vertical reflection
C) 180° clockwise rotation, then translation 7 units down
D) translation 5 units up, then dilation with a factor of
1
4
Answer:
D) translation 5 units up, then dilation with a factor of 1/4
Step-by-step explanation:
The Geometric Transformation over a triangle that produces a similar triangle an not a congruent one is, the one that makes its sides larger\smaller but maintain its angle measures. Namely, the Dilation.
1) In the example below, we have a pair of isosceles triangle ABC and DEF
2) Translating up 5 units adding 5 units to y in DEF
3) Check it out on the third graph how the triangle DEF is similar to ABC share the same angle measure with different legs size.
4) So it's D
Answer:
The answer is d
Step-by-step explanation:
Given: ∆ABC, AB = 12, AC = 17 Area ∆ABC = 65 Find: BC, m∠A, m∠B, m∠C
Answer:
BC = 10.89, ∠A = 39.59°, ∠B = 95.80°, ∠C = 44.61°
BC = 27.34, ∠A = 140.41°, ∠B = 23.35°, ∠C = 16.24°
Step-by-step explanation:
Using the area formula to find angle A, we get ...
Area = (1/2)bc·sin(A)
65 = (1/2)(12)(17)sin(A)
sin(A) = 65/102 . . . . divide by the coefficient of the sine term
A = arcsin(65/102) = 39.59° or 180°-39.59° = 140.41°
Then from the law of cosines*, ...
BC² = AB² +AC² -2·AB·AC·cos(A) = 12² +17² ±2·12·17·cos(39.59°)
BC² = 433 ± 314.426
BC = √118.574 or √747.426
BC = 10.89 or 27.34
___
For A = 39.59° and BC = 10.89, the remaining angles are ...
sin(C)/AB = sin(A)/BC
C = arcsin(12·(65/102)/10.89) = arcsin(.7023) = 44.61°
B = 180° -39.59° -44.61° = 95.80°
__
For A = 140.41° and BC = 27.34, the remaining angles are ...
sin(C) = AB·sin(A)/BC = 12(65/102)/27.34
C = arcsin(0.2797) = 16.24°
B = 180° -140.41° -16.24° = 23.35°
__
In summary, the solutions are ...
BC = 10.89, ∠A = 39.59°, ∠B = 95.80°, ∠C = 44.61°
BC = 27.34, ∠A = 140.41°, ∠B = 23.35°, ∠C = 16.24°
_____
* For a given value of 0 < (x=sin(α)) < 1, there are two possible positive angles: α = arcsin(x) and 180°-α. In the Law of Cosines formula, these different angles result in cos(α) and cos(180°-α) = -cos(α).
_____
The solution process is the same for the remaining sides and angles, once you recognize that the initial value of sin(A)=65/102 can have two different angles as its solution.
Order these decimals from least to greatest: 0.35 3.5 0.53 0.3 0.05
Answer:
0.53, 0.35, 0.05, 0.03, and 3.5
Step-by-step explanation:
Order Least to greatest