Answer:
22 divided by 2.630= 8 remainder 0.96
Answer: 22/2.630 is 8, remainder is 0.365 or 73/200
Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?
A: 19m=55.5−519 m is equal to 55 point 5 minus 5
B: 5m=19−55.55 m is equal to 19 minus 55 point 5
C: m=55.5−195m is equal to the fraction with numerator 55 point 5 minus 19 and denominator 5
D: 55.5=19m+555 point 5 is equal to 19 m plus 5
Answer:
b
Step-by-step explanation:
Trust me
The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5
Writing equationFrom the question, we are to determine the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal
From the given information,
"Arianys wants to ride her bicycle 55.5 miles"
and
"She has already ridden 19 miles"
Thus,
The number of miles she needs to ride more is
55.5 miles - 19 miles
= 36.5 miles
If m is the average number of miles she would have to ride for 5 more days to complete her goal,
Then, we can write that
m = 36.5/5
OR
m = (55.5 - 19)/5
Hence, the equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5
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Find the domain and range for the absolute value function f(x)
graphed below. Then determine where the function is increasing and/or decreasing
Step-by-step explanation:
the domain is the interval or set of all valid x values.
as we can see, the function goes continuously from all the way to the left (until all eternity to -infinity) all the way to the right (until all eternity to +infinity).
the domain is
-infinity < x < +infinity
the range is the interval or set of all valid y (function result) values.
we see, the lowest y value is -1. and then the function goes on both sides up, up, up in all eternity to +infinity.
the range is
-1 <= y < +infinity
f(x) is decreasing for
-infinity < x < -1
f(x) is increasing for
-1 < x < +infinity
| y - 4 | = | y + 10|
Show how to solve too !!
Answer:
y = -3
Step-by-step explanation:
You want the solution to the absolute value equation | y-4 | = | y+10 |.
Absolute valueThe absolute value function ...
f(x) = | x |
is piece-wise defined as ...
[tex]f(x)=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x\ge 0\end{cases}[/tex]
That is, the function is defined differently for argument values less than 0.
Given relationThe above observation regarding the absolute value function means the nature of the given equation changes where the absolute value arguments are zero. Those values are ...
y -4 = 0 ⇒ y = 4
y +10 = 0 ⇒ y = -10
In other words, the points y = -10 and y = 4 divide the domain of the equation into three parts. The behavior will be different in each of those parts.
To solve the equation, we must examine each region of the domain for possible solutions.
y < -10When y < -10, both of the absolute value functions change the sign of their argument. Then the equation is ...
-(y -4) = -(y +10)
Adding y to both sides of this equation gives ...
4 = -10 . . . . . false
This means there is no solution to the equation in the region y < -10.
-10 ≤ y < 4When -10 ≤ y < 4, the absolute value function |y -4| changes the sign of its argument, but the other function does not. In this region, the equation becomes ...
-(y -4) = (y +10)
-6 = 2y . . . . . . . . . add y-10 to both sides
-3 = y . . . . . . . . divide by 2. This value is in the region -10 ≤ y < 4.
The solution to the equation is y = -3.
4 ≤ yWhen 4 ≤ y, neither absolute value function changes the sign of its argument. In this region the equation becomes ...
y -4 = y +10
Subtracting y from both sides of this equation gives ...
-4 = 10 . . . . . false
This means there is no solution to the equation in the region 4 ≤ y.
__
Additional comment
The first attached graph shows the given equation rewritten as two functions. The solution is where those functions have equal values: the point(s) where the graphs intersect.
We often find it more convenient to rewrite equations like this to the form f(x) = 0. Here, that might mean we define ...
f(x) = |y -4| -|y +10|
Then the solution is found on the graph at the x-intercepts. The graph in the second attachment shows this solution, and clearly shows the changes in behavior at x = -10 and x = 4.
What’s 14/20 - 81/90
Answer: -1/5
Step-by-step explanation:
14/20 - 81/90=
7/10-9/10= ==> 10 is the GCF of 20 and 90
(7-9)/10=
-2/10=-1/5
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{14}{20} - \dfrac{81}{90}}[/tex]
[tex]\mathsf{= \dfrac{14\div2}{20\div2} - \dfrac{81\div 9}{90\div9}}[/tex]
[tex]\mathsf{= \dfrac{7}{10} - \dfrac{9}{10}}[/tex]
[tex]\mathsf{= \dfrac{7 - 9}{10 - 0}}[/tex]
[tex]\mathsf{= \dfrac{-2}{10}}[/tex]
[tex]\mathsf{= \dfrac{-2\div 2}{10\div2}}[/tex]
[tex]\mathsf{= \dfrac{-1}{5}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{-\dfrac{1}{5}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
The length of a rectangle is 3m less than double the witch, and the area of the rectangle is 27m^2. Find the dimensions of the rectangle.
Answer:
the area of the rectangle is A=L•W
The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m
A=L-W
27m²=(2W-3m)-W
27m2=2w2-3m-W
2w2-3wm-27m2=0
....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)
W=
2-2
w=(3m± √9m²+216m²)
w=(3m+ √225m²)
W=(3m± 15m...you need only positive root because width cannot be negative
W= 3m+15m
4
W=. 4
18m
W=4.5m ......now find the L
L=2.4.5m-3m
L=9m-3m
L=6m
Answer:
W = 4.5cm
L = 6cm
Step-by-step explanation:
A taxi ride for the airport to your hotel costs a flat fee of $10 the moment you sit in the back seat plus $0.75 each mile plus a tip of $5 to the driver at the end of the ride. Your hotel is 24 miles from the airport and you have $30 in your pocket. Do you have enough money to make it to your hotel in the taxi, including the tip? Declare what your variable represents, write the equation or inequality that models the situation, solve for the variable showing your steps, and answer the question.
Greetings from Brasil...
We have 2 fixed fees:
→ $10 when you sit on the bench
→ $5 tip
So, fixed fees = $10 + $5 = $15
The rate that varies would be the distance traveled. The fee will be $0.75 per mile moved. In this case we can write that:
C = 0.75M + fees
C = 0.75M + 15let
C = cost
M = mile(s)
for 24 miles, M = 24, then
C = 0.75M + 15
C = 0.75 · 24 + 15
C = 18 + 15
C = $33
With $30 it will not be possible to make this trip, as the total cost would be $33
One solution or alternative would be to reduce the tip amount. Instead of $5, pay only $2 of tip.
We can rewrite the cost expression involving a variable for the tip:
C = 0.75M + T + 10
let T = tip
For the exercise example.... The distance (M) its 24 miles and the value of C has to be what I have in my pocket: 30.... then M=24 and C=30
C = 0.75M + T + 10
30 = 0.75 · 24 + T + 10
30 = 18 + T + 10
30 - 18 - 10 = T
T = 2
Is it possible to do this ride if you pay only $2 tip
A canoe and a paddler have a combined mass of 100.0 kg. The canoe is dropped into a river flowing from east to west. The flowing water exerts a force of 18.0 N on the canoe. The paddler exerts a force of 36.0 N [E 37.0° N]. Determine the net force on the canoe at this instant.
At this point, the canoe will be under a net force of 51.52 N.
What is the force?The total mass of a canoe and a paddler is 100.0 kg. A river that runs from east to west is where the canoe is thrown in. The power of the water current on the canoe is 18.0 N. The paddler exerts a force of 36.0 N [E 37.0° N].
The Free Body Diagram is then displayed below.
The canoe's net force would then be indicated as follows:
F = (18 + 36 cos 37°) i + (36 sin 37°) j
F = 46.75 i + 21.67 j
Therefore the force's strength will be
|F| = √(46.75² + 21.67²)
|F| = √2655.15
|F| = 51.52 N
Thus, at this point, the canoe will be under a net force of 51.52 N.
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simplify:39÷(5+(4×5÷2) )
Answer:
this question is wrong .................
Answer:
39÷(5+(4×5÷2) )
39÷(5+(20÷2) )
39÷(5+10)
39÷15
2.6
The cube of the product of 4 and a number
hi
if you call the number "n" you have : ( 4n)³
The cube formed by the product of 4 and a number is (4 * n)^3.
What are cubes?A number's third power, or the outcome of multiplying three occurrences of the number n together, is known as the cube In mathematics and algebra. A superscript 3 represents the cube of a number or any other mathematical expression.The name comes from the fact that the volume of a geometric cube is equal to the cube of its side length.According to our question ,
Let n be any number on any integer.The cube of the product of and any number will be = (4 * n)^3.Hence we can say that the cube formed by the product of 4 and a number is (4 * n)^3.
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Triangle ABC has coordinates A(0, 6), B(3, 0), and C(4, 3). Triangle ABC is reflected across the x-axis. What are the coordinates of C’?
Answer:
Step-by-step explanation:
create the cartesian system, sign the points, because the new triangle is reflected, so we need to use the straight lines which points on its ends, perpendicular to the x-axis, then we get A(0,-6), B(3,0), C(4,-3)
A formula for the normal systolic blood pressure for a man age A , measured in mmHg, is given as P=0.006A2−0.02A+120 . Find the age of a man whose normal blood pressure measures 124 mmHg.
Answer:
27.5 years old
Step-by-step explanation:
We are given the formula: [tex]P=0.006A^{2} -0.02A+120[/tex] relating a patient's pressure to age.
We are also given the value for pressure (P) as 124 mmHg and need to find age (A). In order to do this, we can substitute the value 124 for P in the equation and solve the quadratic equation to obtain A:
[tex]124=0.006A^{2} -0.02A+120[/tex]
1. Set equation to 0 by subtracting 124 from both sides:
[tex]124-124=0.006A^{2} -0.02A+120-124\\= > 0.006A^{2} -0.02A-4=0[/tex]
2. Solve equation using a calculator:
It should give the solutions: [tex]A= 27.54, -24.2[/tex]
It doesn't really make sense for someone's age to be negative, therefore we can accept the positive solution as our answer.
The man whose normal blood pressure measures 124 mmHg is 27.5 years old.
Hope this helped!
Use left-endpoint approximation to estimate the area under the curve of f(x)=x^3 on [1,3]. Use n = 4. Using the same function use midpoint approximation to estimate the area.
Split up the interval [1, 3] into 4 intervals of equal length,
[tex]\Delta x = \dfrac{3 - 1}4 = \dfrac12[/tex]
The left endpoint of the [tex]i[/tex]-th interval is
[tex]\ell_i = 1 + \dfrac i2[/tex]
The area under the curve is then approximately
[tex]\displaystyle \int_1^3 f(x) \, dx \approx \sum_{i=1}^4 f(\ell_i)\Delta x \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac i2\right)^3 \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac{3i}2 + \frac{3i^2}4 + \frac{i^3}8\right) = \boxed{27}[/tex]
In the formula l=p.r.t what does P stand for
Question
The length of a rectangle is 6 more than its width. The perimeter of the rectangle is 60 feet. If w is the width of the rectangle, which expression represents the length?
w+6w plus 6
w−6w minus 6
6w6 w
16w1 sixth w
The length expression is 6 + w
How to determine the length expression?The given parameters are:
Length =6 more than the width
Width = w
Perimeter = 60
Subsitute Width = w in Length =6 more than the width
This gives
Length =6 more than the w
More than mean +
So, we have
Length = 6 + w
Hence, the length expression is 6 + w
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A 12- by 16-foot rectangular floor will be
covered by square tiles that measure 2 feet
on each side. If the tiles are not cut, how many
of them will be needed to cover the floor?
Use an integer to describe the
situations.
6 meters
above sea level
sea level
An integer to describe 6 meters above the sea level would be [tex]+6[/tex] meters.
As per the question statement, We are supposed to use an integer to describe the following situation "6 meters above sea level".
We assume that sea level is the datum line and anything above that would be positive and below that would be negative.
So 6 meters above the sea level can be described as [tex]=6meters[/tex].
Integers: Set of whole number containing both positive and negative values of it.To learn more about Integers, click on the link given below:
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The equation 3x2+2x−4=0 has two solutions. What are they?
Answer:
x =(2-√52)/6=(1-√ 13 )/3= -0.869
x =(2+√52)/6=(1+√ 13 )/3= 1.535
it has either 0.868 or -1,85
which of the following statements is true about the function f in the equation f(10)=5
The cordinates of the turning point of the graph of y=f(x) occurs at (1.1) and (5/3, 23/27)
2
(x−2)+1
Now, differentiating w.r.t. x, we get
f
′
(x)=2(x−1)(x−2)+(x−1)
2
=(x−1)[2(x−2)+x−1]
=(x−1)[3x−5]
Hence,
f
′
(x)=0 implies x=1 and x=
3
5
Corresponding values of y are y=1 and y=
27
23
respectively.
∴ Co-ordinates of turning point of the graph of f(x) occurs at (1,1) and (
3
5
,
27
23
)
Now,
f(x)=(x−1)
2
(x−2)+1
=(x
2
−2x+1)(x−2)+1
=x
3
−2x
2
−2x
2
+4x+x−2+1
=x
3
−4x
2
+5x−1
The value of p for which the equation f(x)=p has 3 distinct solutions lies in interval (
27
23
,1)
Area enclosed by f(x),x=0,y=1 and x=1 is
A=∫
0
1
(1−f(x))dx
⇒∫
0
1
(4x
2
−x
3
−5x+2) dx
⇒A=
12
7\
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100 points Given f(x)=5(3−x), what is the value of f(−2)?
Given - F(x) = 5 × 3-x
F(-2) refers to x = -2
Therefore 5×3-(-2) = 5× (3+2) = 5×5 = 25
Hence 25 is the value of f(-2)
pleaseee help! Will mark brainliest!!! And 100 points!! Sorry for so many questions but please I need answers!
A. What is 0.54 rounded to the nearest tenth?
B. What is 2.65 rounded to the nearest tenth?
C. What is 28.17 rounded to the nearest tenth?
D. What is 3.09 rounded to the nearest tenth?
E. What is 2.41 rounded to the nearest tenth?
F. What is 9.86 rounded to the nearest tenth?
G. What is 15.234 rounded to the nearest tenth?
H. What is 1.37 rounded to the nearest tenth?
I. What is 0.76 rounded to the nearest tenth?
J. What is 39.18 rounded to the nearest tenth?
K. What is 2.48 rounded to the nearest tenth?
L. What is 0.84 rounded to the nearest tenth?
__________________________________________________________________
M. What is 4.112 rounded to the nearest whole number?
N. What is 3.89 rounded to the nearest whole number?
O. What is 23.14 rounded to the nearest whole number?
P. What is 7.6 rounded to the nearest whole number?
Q. What is 3.67 rounded to the nearest whole number?
R. What 53.2 rounded to the nearest whole number?
S. What is 3.08 rounded to the nearest whole number?
T. What is 27.51 rounded to the nearest whole number?
U. What is 11.08 rounded to the nearest whole number?
V. What is 17.28 rounded to the nearest whole number?
W. What is 92.6 rounded to the nearest whole number?
X. What is 24.8 rounded to the nearest whole number?
Y. What is 7.9 rounded to the nearest whole number?
Z. What is 3.06 rounded to the nearest whole number?
Answer:
A: 0.50
B: 2.70
C: 28.20
D: 3.10
E: 2.40
F: 9.90
G: 15.200
H: 1.40
I: 0.80
J: 39.20
K: 2.50
L: 0.80
Here are the first ones
M: 4
N: 4
O: 23
P: 8
Q: 4
R: 53
S: 3
T: 28
U: 11
V: 17
W: 92
X: 25
Y: 8
Z: 3
These are the last ones
Hope you found these helpful! <3
In a study conducted by a human resource management organization, human resource professionals were surveyed. Of those surveyed, % said that their companies conduct criminal background checks on all job applicants. Complete parts (a) through (d).
What is the exact value that is 41% of 379 survey subjects?
(Type an integer or a decimal. Do not round.)
The exact value is ____
Using proportions, it is found that the exact value of 41% of 379 is of 155.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The proportion of 41% of 379 is given as follows:
0.41 x 379 = 155.39.
Since 0.39 < 0.5, the exact value is rounded to 155.
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4 divided by 527 step by step
What is the range of f?
O -15≤x≤35
Oy > 15
Oy> 35
O all real numbers
The possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.What is the range of a function f(x)?The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.
In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:
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A bookcase is to have 4 shelves including the top as pictured below.
The width is to be 14 feet less than 3 times the height. Find the width and the height if the carpenter expects
to use 28 feet of lumber to make it.
Width:
feet
Height:
feet
Question Help: Video
Answer:
w= 3 feet
h= 5 feet
Step-by-step explanation:
H=height; W=width=2H-7ft
W=2H-7ft
2H+4W=22ft Substitute for W
2H+4(2H-7ft)=22ft
2H+8H-28ft=22ft Add 28 ft to each side.
10H=50ft
H=5 ft ANSWER 1: The bookshelf is 5 feet high.
W=2H-7ft=2(5ft)-7ft=10ft-7ft=3ft
ANSWER 2: the bookshelf is 3 feet wide.
CHECK:
2H+4W=22ft
2(5ft)+4(3ft)=22ft
10ft+12ft=22ft
22ft=22ft
Hope this helps!
A company with offices in Anchorage, Alaska wants to lease 10 small planes to fly a group of clients to Nome for a summer fishing trip. They can choose from 6, 8 and 10-passenger planes. The trip will include 84 passengers, total. Find the 5 solutions for how many of each type of plane could be leased? (please show your work)
The solutions of the equations of the situation can be:
z = 1 , y = 5, x = 4
z= 2 , y = 3, x = 5
z=3 , y = 1, x = 6
z = 0 , y = 7, x =3
The question can be expressed as a equation
6 x + 8 y + 10 z = 84
also, x + y + z = 10
⇒ x = 10- y - z
Putting it in first equation,
6(10 - y - z ) +8y + 10z = 84
⇒ 60 +2y + 4z = 84
⇒2(y + 2z ) = 14
⇒ y + 2z = 7
Now putting
z = 1 , we get y = 5,
z= 2 , y = 3
z=3 , y = 1
z = 0 , y = 7
So, only 4 possible solutions.
Therefore, there can only be 4 possible solutions for the equations.
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Graph the linear equation.
x = 6
Use the graphing tool to graph the linear equation.
The graph of the linear equation, x = 6, is shown in the image attached below.
How to Graph the Equation of a Vertical Line?The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.
Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.
Thus, the graph of the linear equation, x = 6, is shown in the image attached below.
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X,Y, and Z are collinear points on the same segment, and Y is between X and Z. If XY = 11 and XZ = 13, use the
Segment Addition Postulate to find YZ.
Answer: X, Y, Z are collinear points on the same segment, Then YZ=2.
Step-by-step explanation:
Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.
X, Y, Z are collinear points on the same segment, and Y is between X and Z.
As given Y is between X and Z
We can write,: YZ+XY=XZ
If, XY=11
XZ=13
Replace XY and XZ values in above equation
So, YZ+XY=XZ
YZ+11=13
Solve to get, YZ=13-11
YZ=2
So, X, Y, Z are collinear points on the same segment, and Y is between X and Z, use the segment addition postulate, then YZ=2.
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X-5>10;x=2 tell where the value is a solution of the inequality help please
Answer:
No, 2 is not a solution
Step-by-step explanation:
x - 5>10 Add 5 to both sides of the equations
x > 10 The solutions are all numbers greater than 10. Two is not greater than 10.
Which is the value of this expression when m-3 and n=-5
Answer:
1/8
Step-by-step explanation:
(6m^-1n^0)^-3 =
= (6 × 1/3 × (-5)^0)^-3
= (6/3)^-3
= 2^-3
= 1/2^3
= 1/8
Translate the sentence into an equation.
The sum of 8 times a number and 9 is 7.
Use the variable b for the unknown number.
Answer:
8 x b + 9 = 7
Step-by-step explanation:
sum is to add and 8 times means to multiply it by 8
