Given :
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.
They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.
To Find :
How many dimes and quarters in Lulu holding?
Solution :
4.10 dollar = 410 cents
Let, number of dimes and quarter are x and y.
So, x + y = 20 ...1)
Also, 10x + 25y = 410 ...2)
Putting value of 1) in equation 2), we get :
10x + 25( 20 - x ) = 410
10x + 500 - 25x = 410
15x = 90
x = 6
y = 14
Therefore, number of dimes and quarters are 6 and 14 respectively.
Hence, this is the required solution.
2 2/9 +1 4/9 please help
Answer:
3 2/3
Step-by-step explanation:
In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:
2 2/9 +1 4/9
3 6/9
simplify
3 2/3
plzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Exact rule : 77
Approximate rule : 80
Step-by-step explanation:
Is the following relation a function?
Relation:
Х Y
6 8
5 1
6 6
2 4
The domain:
{2,5,6}
The range:
{1,4,6,8}
Answer: No
Step-by-step explanation:
The domain consists of the numbers 6, 5, 6, 2
6 is repeated twice
The criteria for a function is that there are no repeating numbers in the domain
This does not follow the criteria, therefore this is not a function
Answer-No
what isvequivalent to y=23x−6?
Answer:
Slope = 46.000/2.000 = 23.000
x-intercept = 6/23 = 0.26087
y-intercept = -6/1 = -6.00000
Please HELP!!!!!!!! THANK YOU!!!!!!!!
Answer:
200 animals is the correct answer to the first question.
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.
Answer:
0.5 in, 2 in
Step-by-step explanation:
It cannot be a negative number, so -2 is out.If we use Pythagorean's theorem ([tex]a^2+b^2=c^2[/tex]), we know that only 0.5 and 2 are correct values of b.Solve the following inequality:
55 – 5q > 4(7–9).
Step-by-step explanation:
55 – 5q > 4(7–9)
4(-2)
55- 5q > -8
-5q > -63
q=12.6
Which point is located at (4, 1)?
A
B
C
D
Answer:
A is located at (4,1)
Step-by-step explanation:
The first number will always be on the x-axis and the second will always be on the y-axis. For example: (x,y) so A is (4,1) , B is (-4,1), C is (1,4) and D is (-1,4).
Hope this helps! ;)
Final Answer: Point A
Steps/Reasons/Explanation:
Question: Which point is located at [tex](4, 1)[/tex]?
The x-axis would be 4 and the y-axis would be 1. The x-axis is horizontal and the y-axis is vertical.
For the x-axis, it tells you the markings of the numbers, so moving to the right would be positive and left would be negative.
For [tex](4, 1)[/tex] we would go four to the right and one up. Point A is located there.
~I hope I helped you :)~
Help ASAP anyone :)!!!??!
Answer:j
Step-by-step explanation:
help me please im dumb
Answer:
I believe the answer is true.
Step-by-step explanation:
Parentheses are the first operation in PEMDAS but when there is brackets I was always told to do what was inside them first. Hope this helps <3
Answer:
its true.
because BEDMAS.
^
|
B( bracket )
A standard painkiller is known to bring relief in 3.5 minutes on average LaTeX: \muμ. A new painkiller is hypothesized to bring faster relief to patients. A sample of 40 patients are given the new painkillers. The sample yields a mean of 3.0 minutes and a standard deviation of 1.1 minutes. Using a level of significance LaTeX: \alpha = 0.05α = 0.05, the rejection region for the test is:
Answer:
Reject H0 if Z ≤ critical value
- 2.8747978 ≤ 1.645
Step-by-step explanation:
Setting the null and alternative hypothesis :
H0 : μ = 3.5
H1 : μ < 3.5
Sample size (n) = 40
Mean (m) = 3 minutes
Standard deviation (s) = 1.1 minutes
Test statistic : Z = (m - μ) / (s/√n)
Z = (3 - 3.5) / (1.1/√40)
Z = - 0.5 / 0.1739252
Z = - 2.8747978
Zcritical at α 0.05 = 1.645
This is a left tailed test :
Hence rejection region:
Reject H0 if Z ≤ critical value
- 2.8747978 ≤ 1.645
Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).
Step-by-step explanation:
Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.
Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.
Hence the equation is y + 5 = -2/3 * (x - 4). (B)
Jeff can walk 3 laps in 8 minutes. At this pace, how many full laps can he walk in 20 minutes?
Answer:
7 full laps
Step-by-step explanation:
let x= how many laps
[tex]\frac{3}{8} =\frac{x}{20}[/tex]
cross multiply
60=8x
60/8=x
7.5=x
7 full laps (because 0.5 is half a lap)
Answer:
7 full laps
let x= how many laps
cross multiply
60=8x
60/8=x
7.5=x
7 full laps (because 0.5 is half a lap)
Step-by-step explanation:
Pls someone help me!
Answer:
When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.
What is the equation of the line through the origin and (-4,-9)?
OA. y= 9x
O B. y=
OC. y= 4x
OD.y
Answer:D
Step-by-step explanation:
find the value of the expression n+2×m
for m=6 and n =4
Answer:n=4
m=6
Step-by-step explanation:
(solve for bracket first the add)
4+2×6
4+12
16
Haley brought 4 boxes of candy canes at the santa store if each box of candy canes cost $2.65 and she paid with a twenty dollar bill how much change should get back
Answer: $9.04
Step-by-step explanation:
one box is $2.65 and $2.65x4=$10.09 and if there is a $20.00 then $20.00-$10.09=$9.04. :P
I really need help with this
Solve for the missing amount.
Of the 300 Sequoyah Cougars that play a sport, 20 % will go on to play high school sports.
How many Cougars will play a sport in high school?
Answer:
60
Step-by-step explanation:
Answer:
60 Cougars will play a sport in high school
Step-by-step explanation:
20% of 300 is 60.
Find the slope of the line passing through the points
(-3. 7) and (2. -6).
Answer:
( 3 , 7 )
Step-by-step explanation:
maybe this will help you
Blake must choose between two job offer. Evergreen Landscape will pay him $9.75 hours to mow lawns, but its is a long way from his house. He would probably spend $25 per week on gas. Just Jean will pay Blake $6.50 per hour to work as a retail clerk. Since the store is very close to his house, he would probably only spend $5 per week on gas. let x be the number of hours that Blake will work in a week and y be the amount of money he will have end of the week if he does not spend any money expect on gas.
a. Explain how the following two rules reflect the two jobs offer that Blake has.
B. Solve the system of equations in part A. (9.75x - 25 = 6.50x -5) indicates what its tell you about blake job offers and the amount of money he will have at the end of the week.
C. blake plan to work at least 15 hours per week. Which job should he take.
Answer:
A. The explanation of the rules are;
For the job offer for the Evergreen Landscape, Blake will have 9.75 times by the number of hours worked less the $25 for gas at the end of the week
For the job offer for the Just Jean, Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas at the end of the week
B. The solution to the equations is that the number of hours Blake will work to have the same amount in both Jobs is 6.1538 hours
C. Blake should take the Job at Evergreen Landscape
Step-by-step explanation:
The amount Evergreen Landscape will pay Blake to mow lawn = $9.75
The amount Blake would spend to work per week on gas for work at Evergreen Landscape = $25
The amount Just Jean will pay Blake to work per week as a retail clerk = $6.50
The amount Blake would spend to work per week on gas for work at Just Jean = $5
Whereby, x = The number of hours that Blake will work in a week
y = The amount of money he will have end of the week, if he does not spend any money except gas
A. The given rules are;
y = 9.75·x - 25
y = 6.50·x - 5
For the job offer for the Evergreen Landscape, we have;
y = 9.75·x - 25
Blake has to put aside $25 out of his weekly earnings for gas
Blake will have 9.75 multiplied by the number of hours worked less the $25 for gas
For the job offer for the Just Jean, we have;
y = 6.50·x - 5
Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas
B. The common solution of the both equations is given by equating both values of y as follows;
9.75·x - 25 = 6.50·x - 5
9.75·x - 6.50·x = 25 - 5
3.25·x = 20
x = 20/3.25 = 6.15385
x = 6.15385
The number of hours Blake will work to have the same amount in both Jobs = 6.1538 hours
C. Given that the number of hours Blake can work each week = 15 hours, we have;
For the job offer for the Evergreen Landscape, we have;
y = 9.75 × 15 - 25 = 121.25
The amount of money he will have end of the week = y = $121.5
y = 6.50 × 15 - 5 = 92.5
The amount of money he will have end of the week = y = $92.5
Therefore, given that by working 15 hours a week, Blake earns $121.5 on the Evergreen Landscape job and $92.5 on the Just Jean job, Blake should take the Job at Evergreen Landscape.
What is sink?
HELP ASAP 20 POINTS
On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).
Answer:
f(6) = g(3)
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
Solution:
g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:
g(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]
f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:
f(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]
f(6) = x-3 = 6 - 3 = 3
g(3) = x + 3 = 3 + 3 = 3
f(6) = g(3)
In the following table, y is a function of x. True or false: The table below represents a function.
PLEASE HELP ME I DONT UNDERSTAND
Answer:
i got 8.944272
Step-by-step explanation:
might be wrong because i havent done a probelm like this in a long time
but i used the distance formula between the 2 plotted points.
Put the following numbers in order from least to greatest.
1/4 1/8 1/2
Answer:
1/8 1/4 1/2
Step-by-step explanation:
i hope it will help you
Step-by-step explanation:
1\8 1\4 1 \2
Which equation describes a line perpendicular to line R that passes through the point
(3, –6)?
A.x – 3y = 21
B.3x + y = 3
C.3x – y = 15
D.3x – y = 3
Answer:a
Step-by-step explanation:
Alex made 3/5 of a batch of cookies in 3/10 of an hour. How much time will it take him to make 1 full batch of cookies?
Answer:
[tex]\frac{1}{2}[/tex]h
Step-by-step explanation:
Let the total batch of cookies be x.
[tex]\frac{3}{5}[/tex]x = [tex]\frac{3}{10}[/tex]h
[tex]\frac{5}{5}[/tex]x = [tex]\frac{5}{3}[/tex] × [tex]\frac{3}{10}[/tex]h
x = [tex]\frac{15}{30}[/tex]h
x = [tex]\frac{1}{2}[/tex]h
Find what x equals please
Answer:
180-(35+28)->180-63=117 and 180-117=63 then 63+36=99 and 180-99=81 so x=99°
Two hikers hike two different trails for 3 days: Hiker 1: Climbs up in elevation 500 m per day Hiker 2: Goes down in elevation 500 m per day Write an equation using multiplication that represents each hiker's elevation after 3 days. Explain what each number means. What is the final elevation of each hiker?
Answer:
i. y = 3(x)
ii. This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.
Step-by-step explanation:
Let assume that the horizontal surface of the earth is taken to be zero. Thus any distance moved upward is positive, and any distance moved downward is negative. As compared to a number line.
Thus, after 3 days, the equation for each hiker is;
y = 3(x)
Where y is the total distance covered after 3 days, and x is the elevation of the hiker per day.
For Hiker 1, the elevation was upwards;
y = 3(500)
= 1500 m
For Hiker 2, the elevation was downwards;
y = 3(-500)
= -1500 m
This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.