Answer: 400 miles
Step-by-step explanation:
Let x= the amount of miles
120+0.4x=40+0.6x
80+0.4x=0.6x
80=0.2x
x=400
400 miles a day the rental cost will be same
Hope this helps!! :)
Please let me know if you have any question
How did Sam’s fixed mindset prevent him from succeeding when the material got harder?
Answer: he gave up so he wasn’t able to do it
Step-by-step explanation:
Solve for x using
cross multiplication.
Operations on Rational and Irrational Numbers
Answer:
the second option 5 2/3
Step-by-step explanation:
since 0.3 with a line over it is equal to 2/3 and 3+2 is 5 our answer would be 5 2/3
Answer:
6
Step-by-step explanation:
find pb, if pj=14 and jb= 28
Answer:
42
Step-by-step explanation:
Based on the information given, point j is the midpoint, as it is shared by both line segments. Set the equation:
pb = pj + jb
Note:
pj = 14
jb = 28
Plug in the corresponding numbers to the corresponding variables:
pb = pj + jb
pb = 14 + 28
pb = 42
pb = 42 is your answer.
~
pj=14
jb=28
p=14/j
b=28/j
pb=(14/j)×28/j
pb=392/j²
j²=9.333≅
pb=392/9.333
pb=42.0015≅42
FOR THE FUNCTION F(X) =6x - 8 what is f(3)?
Replace x in the equation with 3
6(3) -8 = 18 -8 = 10
The answer is 10
Answer:
10
Step-by-step explanation:
To find f(3), substitute 3 in the function
f(3) = 6*3 - 8
= 10
Two partners are starting a wedding planning business. The total investment is $45,000. Their investments are in the ratio 4:5. How much does each
investor contribute?
$20,000 and $25.000
$5,000 and $40.000
$15,000 and $30.000
$10,000 and $35.000
Answer:
Hey there!
Think of 45000 being split to 9 pieces.
Each piece would be 5000 dollars.
Thus, the ratio would be 20000 to 25000
Hope this helps :)
One partner will bring $20,000 and the other will bring $25,000.
The total investment is $45,000 and they will contribute by the ratio, 4:5.
First add up the ratio as this will form the denominator:
= 4 + 5
= 9
The amount that the first partner will pay is:
= Proportion / 9 x Total investment
= 4 / 9 x 45,000
= $20,000
The other partner will bring:
= 5 / 9 x 45,000
= $25,000
The partners will therefore bring $20,000 and $45,000
Find out more at https://brainly.com/question/23766289.
Reese loves to drink healthy green smoothies a 16 oz serving of smoothie has 170 calories how many calories are in a 24 oz smoothie
Answer:
255
Step-by-step explanation:
170/16 = 10.625
10.625 x 24 = 255
www.g Suppose that 59% of people own dogs. If you pick two people at random, what is the probability that they both own a dog
Answer:
The value is [tex]P(O) = 0.3481[/tex]
Step-by-step explanation:
From the question we are told that
The proportion of people that own a dog is [tex]p = 0.59[/tex]
The number of people selected is n = 2
Generally the probability that the people selected owns a dog is mathematically represented as
[tex]P(O) = p^n[/tex]
=> [tex]P(O) = 0.59^2[/tex]
=> [tex]P(O) = 0.3481[/tex]
You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You also know that the average consumption of ice cream per week is five grams with a standard deviation of 1.5 grams. The average weight is 65 kg with a standard deviation of 15 kg. What is the formula of the regression line?
ŷ = 26 + 7.8x
ŷ = 7.8 + 26x
ŷ = -502 + 0.078x
ŷ = 0.078 - 502x
An executive invests 29,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $2,230, how much is invested at each rate?
Answer:
Amount invested in A (8%) = $20,000
Amount invested in B (7%) = $9,000
Step-by-step explanation:
Given:
Total amount invested = $29,000
Interest rate A = 8% = 0.08
Interest rate B = 7% = 0.07
Annual return = $2,230
Find:
Amount invested in each
Computation:
Assume;
Amount invested in A = x
Amount invested in B = 29,000 - x
So,
Interest receive from A = x × 0.08
Interest receive from A = 0.08 x
Interest receive from B = (29000 - x) × 0.07
Interest receive from B = 2,030 - 0.07 x
Annual return = Interest receive from A + Interest receive from B
2,230 = 0.08 x + 2,030 - 0.07 x
x = 20,000
Amount invested in A = $20,000
Amount invested in B = 29,000 - $20,000
Amount invested in B = $9,000
On a number line suppose point E has a coordinate of 1, and EG=11 What are the possible coordinates of G?
Answer:
- 10 and 12
Step-by-step explanation:
On a typical number line, we have basically two directions that we can move on. Either to the left where the numbers are negative, of to the right where the numbers are positive.
Given that point E has a coordinate of 1 on a number line, and we are told that the distance between E and another point on the number line is 11 (EG), the possible coordinates of point G are two (either we are moving to the right or to the left). Therefore, possible coordinates of G are:
1 - 11 = -10 (to the left)
1 + 11 = 12 (to the right)
The cost C, in dollars, of renting a minivan for a day is given by the linear equation C = 0.3x + 42, where x is number of miles driven.
Find the cost renting the minivan for a day and driving it 150 miles. (2 pt)
Find and interpret the slope of this equation. (2 pt)
Find and interpret the y intercept of this equation(2 pt)
Answer:
$87
The slope is .3
The y-intercept is 42
Step-by-step explanation:
150(.3)=45
45+42=87
Hi guys, can anyone help me with this, Thanks a lot:)
Answer:
k = 1/9
Step-by-step explanation:
In order for the function to be continuous at x=9, the values of the two expressions must be the same at x=9.
The first expression evaluates to ...
[tex]\dfrac{\sqrt{9}-3}{-9}=-\dfrac{3-3}{9}=0[/tex]
The second expression needs to have the same value:
[tex]1 -k(9) = 0\\\\1 = 9k\\\\\boxed{k=\dfrac{1}{9}}[/tex]
Answer:
[tex]k=1/9[/tex]
Step-by-step explanation:
A function is continuous at a point if and only if:
[tex]\lim_{x \to n} f(x)=f(n)[/tex]
So, we have the piecewise function:
[tex]f(x) = \left\{ \begin{array}{lI} \frac{\sqrt{x} -3}{-9} & \quad0< x <9 \\ 1-kx & \quad x\geq 9 \end{array} \right.$$[/tex]
And we want to find the value of k such that the function is continuous.
First, find the left hand limit of f(x):
[tex]\lim_{x\to9^-} f(x)[/tex]
Since we're coming from the left, we'll use the first equation. Thus:
[tex]=\lim_{x\to9^-} \frac{\sqrt{x}-3}{-9}[/tex]
Direct substitution:
[tex]=\frac{\sqrt{9}-3}{-9}[/tex]
Simplify:
[tex]=\frac{3-3}{-9}[/tex]
Subtract and divide:
[tex]=\frac{0}{-9}=0[/tex]
So, what this tells us is that for the function to be continuous, the right hand limit as f(x) approaches 9 from the right must also be equal to 0.
Therefore:
[tex]\lim_{n \to 9^+} 1-kx=0[/tex]
Direct substitution:
[tex]1-9k=0[/tex]
Subtract 1 from both sides:
[tex]-9k=-1[/tex]
Divide both sides by -9:
[tex]k=1/9[/tex]
Therefore, the value of k is 1/9.
So, our equation in the end is:
[tex]f(x) = \left\{ \begin{array}{lI} \frac{\sqrt{x} -3}{-9} & \quad0< x <9 \\ 1-\frac{1}{9}x & \quad x\geq 9 \end{array} \right.$$[/tex]
Composition of the functions is
____ commutative.
Answer:
Composition of functions is sometimes commutative.
Step-by-step explanation:
Composition of the functions is sometimes commutative.
Under certain circumstances, they can be commutative. However, this is not guaranteed.
Consider, for example, the functions:
[tex]\displaystyle f(x) = x^2 \text{ and } g(x) = x^3[/tex]
Composition of the two functions yields:
[tex]f(g(x))=(x^3)^2=x^6 \\ \\ \text{ and} \\ \\ g(f(x))=(x^2)^3=x^6[/tex]
In this case, the composition is commutative.
Composition of functions is sometimes commutative.
Commutativity refers to the ability to change the order of operations without affecting the result. In terms of functions, it means that the order in which you perform the composition matters.
For example, if we have two functions, f(x) and g(x), the composition of f(g(x)) is not necessarily equal to g(f(x)). In other words, the result of applying one function followed by another is generally different from the result of applying them in the opposite order.
This lack of commutativity is due to the fact that the output of one function becomes the input of the other.
Thus, Composition of functions is sometimes commutative.
Learn more about Commutative Property here:
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A rectangular flower bed has a length of 1/2 yard. The width of the flower bed is 3/4 yard. What is the area of the flower bed?
Answer:
The answer is 4 whole 2 by 3 (4 2/3).
Step-by-step explanation:
(3/4) x = 3 1/2
3 x / 4 = 7/2
3 x = 14
x = 14/3 = 4 2/3.
1. What are the coordinates of the midpoint of the line segment with endpoints (2,5) and (4. – 7)?
O (-2. - 2)
O (-1. - 6)
O (6, - 2)
O (3. - 1)
Answer:
(3,-1)
Step-by-step explanation:
(2+4)/2. (5-7)/2
6/2. - 2/2
3,-1
In order to express the fraction 2/125 as a decimal, Meg will
first rewrite the fraction using a denominator that is a
power of 10. If she wants x to be a whole number, what is
the smallest power of 10 she can use?
Х
2
125
power of 10
A. 10
B.100
C. 1,000
D. 10,000
Answer:
B
Step-by-step explanation:
B because if it's 1000 then the number will be greater then the fraction.
Line t passes through points (10, 4) and (7, 9). Line u is parallel to line t. What is the slope of line u?
Answer: 3/5
Step-by-step explanation:
concept to know: the slope of perpendicular line is always opposite reciprocal
----------------------
Step 1. Find the slope of line t
(y2-y1)/(x2-x1)
=(4-9)/(10-7)
=-5/3
-------------------
Step 2. Apply the concept
Opposite reciprocal of (-5/3)=3/5
Hope this helps!! :)
Please let me know if you have any question
Luis is 4 years older than Colleen. In 4 years the sum of their ages will be 52. How old is Luis now?
Answer:
x: Colleen
Luis: x+4
x+x+4=52
2x+4=52
2x=48
x=24: Colleen
x+4=28 Luis
What are the greatest and the least
6-digit numbers that have a 9 in the hundreds place and 3 fewer
hundred thousands than hundreds?
Answer:
Greatest = 699,999
Least = 600,900
Step-by-step explanation:
6 digit numbers
9 in the Hundred place
3 fewer hundred thousands than hundred
9 - 3 = 6
Hundred thousand = 600,000
Hence, greatest 6 digit number
Hth__TTh__Th__H__T__U
6____9____9___9__9__9
600,000 + 90,000 + 9,000 + 900 + 90 + 9
= 699,999
Hence, least 6 digit number
Hth__TTh__Th__H__T__U
6____0____0___9__0__0
600,000 + 00000 + 0000 + 900 + 00 + 0
= 600,900
PLEASE HELP!
2x+2y = 5
3x + 3y = 7
How many solutions does the system of equations above have?
Answer: no solution or zero solutions.
Step-by-step explanation:
Given System of equations
2x+2y = 5
3x + 3y = 7
have No solution
Given :
2x+2y = 5
3x + 3y = 7
We write the given equation in y=mx+b form and then we compare the slope 'm'
Solve each equation for y
[tex]2x+2y=5\\2y=-2x+5\\Divide \; by 2\\y=-1x+\frac{5}{2}[/tex]
Slope of first equation is -1
[tex]3x+3y=7\\3y=-3x+7\\Divide \; by \; 3\\y=-1x+\frac{7}{3}[/tex]
Slope of second equation is -1
Slope of both the equations are equal . So the lines are parallel to each other.
Hence , No solution
Learn more : brainly.com/question/17705616
The table below shows the number of color pages a printer prints out over a period of time.
Printed Pages in Color
Time (min), x
2
6
8
18
Number of pages, y
3
9
12
27
What is the constant of variation?
Two-thirds
Three-halves
2
3
Answer:
The answer is three halves why proof is in the step by step explanation.
Step-by-step explanation:
Answer:
The answer is
3
_
2
Because y is over x
y
_
x
Step-by-step explanation:
Use the table below to answer the following questions. a. Plot the points (x,y) in this table on a graph (except when x is 5)
Answer:no answers sorry
Step-by-step explanation:
No answers sorry
what does x=?........................
Answer:
x = -25 / 3
Step-by-step explanation:
10 / 3 = x / (-5/2)
10 / 3 * (-5 / 2) = x
x = -50 / 6
x = -25 / 3
Answer:
[tex]x=\frac{-25}{3}[/tex]
Step-by-step explanation:
[tex]\frac{10}{3}=\frac{x}{\frac{-5}{2} } \\\\\frac{-5}{2}*\frac{10}{3}=\frac{x}{\frac{-5}{2} }*\frac{-5}{2} \\\\\frac{-25}{3} =x\\\\x=\frac{-25}{3}[/tex]
ayyyyyyyyyyyyyyyyyyyyyyyyyyyyyy please help me
Matt is tiling his house and he needs to find out what are the largest square tiles that he could use to
tile an area 105 cm by 280 cm?
Answer:
the largest square tile is 35cmx35 cm
Step-by-step explanation:
1. Factorize 105 = 5*7*3=35*3
Factorize 280=10*7*4=2*5*7*4=35*8
The common factor is 35.
So Matt can tile 3 tiles 35x35 along the side 105 and 8 tiles along the side 280.
Total 24 pieces 35x35 are necessary to tile the area 105x 280 cm
( However the question is only about the largest tile that Matt could use and not about the quantity of the tiles)
What are the coordinates for the origin of the coordinate plane? (0.1) (1,0) (1,1) 0 (0.0)
Step-by-step explanation:
Remember: the origin is at the very center of the graph: (0,0). Not (0,1), (1,0), or 0. The first two options are not at the center. (0,1) takes us one unit above the middle, and (1,0) takes us one unite to the right of the origin. The number 0 is not used to find a point. So, our final answer is: (0,0).
00:00
Hakim is making birdhouses. Each birdhouse uses
7
What is the total length of wood Hakim will need to build 5 birdhouses?
Į yard of wood.
4 3 yards
5 [ yards
1 yards
og yards
Answer:
[tex]4\frac{3}{8}[/tex] yards of wood
Step-by-step explanation:
The correct question is Hakim is making birdhouses. Each birdhouse uses 7 /8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses?
Answer: Given that the amount of wood need to produce one bird house is 7/8 yard, for 5 birdhouse, the amount of wood needed would be 5 times the number needed for one birdhouse. It is given by:
Amount of wood needed for 5 birdhouse = 5 × amount of wood for 1 birdhouse
Amount of wood needed for 5 birdhouse = 5 × 7/8 yards = 35/8 = [tex]4\frac{3}{8}[/tex] yards of wood
Find all zeros of ƒ(x)=x4–22x3+121x2.Then determine the multiplicity at each zero. State whether the graph will touch or cross the x-axis at the zero.
Answer:
0, 11, both multiplicity 2touch, not cross, at each 0Step-by-step explanation:
The function factors as ...
f(x) = x^4 -22x^3 +121x^2
f(x) = x^2(x^2 -22x +121)
f(x) = x^2(x -11)^2
The zeros are x=0 and x=11, each of multiplicity 2.
Because the multiplicity is even, the graph will touch at each zero, not cross.
An investigator predicts that dog owners in the country spend more time walking their dogs than do dog owners in the city. The investigator gets a sample of 21 country owners and 23 city owners. The mean number of hours per week that city owners spend walking their dogs is 10.0. The standard deviation of hours spent walking the dog by city owners is 3.0. The mean number of hours country owners spent walking theirs dogs per week was 15.0. The standard deviation of the number of hours spent walking the dog by owners in the country was 4.0. Do dog owners in the country spend more time walking their dogs than do dog owners in the city?
Answer:
Yes dog owners in the country spend more time walking their dogs than do dog owners in the city
Step-by-step explanation:
From the question we are told that
The sample size from country is [tex]n_1 = 21[/tex]
The sample size from city is [tex]n_2 = 23[/tex]
The sample mean for country is [tex]\= x_1 = 15 [/tex]
The Sample mean for city is [tex]\= x_2 = 10[/tex]
The standard deviation for country is [tex]\sigma _1 = 4[/tex]
The standard deviation for city is [tex]\sigma _2 = 3[/tex]
Let the level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 > \mu_2[/tex]
The pooled standard deviation is mathematically represented as
[tex]s = \sqrt{ \frac{s_1 ^2 * (n_1 - 1 ) + s_2 ^2 * (n_2 - 1 )}{ df} }[/tex]
Here df is the degree of freedom which is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
[tex]df = 21 + 23 -2 [/tex]
[tex]df = 42[/tex]
So
[tex]s = \sqrt{ \frac{4 ^2 * (15.0 - 1 ) + 3 ^2 * (10 - 1 )}{ 42} }[/tex]
[tex]s = 3.5[/tex]
Generally the test statistics is mathematically represented
[tex]t = \frac{\= x_1 - \= x_2 }{ s * \sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex]
[tex]t = \frac{ 15 -10 }{ 3.5 * \sqrt{\frac{1}{ 21 } + \frac{1}{23} } }[/tex]
[tex]t = 4.733[/tex]
Generally the p-value is obtained from the student t-distribution table table , the value is
[tex]P(T > 4.733)= t_{4.733, 42 } = 0.000013 [/tex]
From the calculation we see that
[tex]p-value < \alpha[/tex]
So we reject the null hypothesis
Hence we can conclude that there is sufficient evidence to support the claim that dog owners in the country spend more time walking their dogs than do dog owners in the city