Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
We must have these informations in mind:
1) A penny is a 1-cent coin.
2) A dime is a 10-cent coin.
3) A nickel is a 5-cent coin.
Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:
[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)
In addition, we get the following identities:
i) He has three more nickels than dimes
[tex]z + 3 = y[/tex] (Eq. 2)
ii) And five times as many pennies as dimes
[tex]x = 5\cdot z[/tex] (Eq. 3)
The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)
[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]
[tex]0.20\cdot z = 0.60[/tex]
[tex]z = 3[/tex]
The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].
Anurak has 15 pennies, 6 nickels and 3 dimes.
Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
5x23x2 use properties to find the sum or protuct
Answer:
230
Step-by-step explanation:
use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides
A bus makes a stop at 2:30 letting off 12 people
What's the question?
PLEASE ANSWER ILL GIVE YOU BRAINLIST AND A THANK YOU! Question: 20.155 rounded to the nearest tenth
It wont let me just put the number
20.2
Answer:
20.2
Step-by-step explanation:
because 155 can be rounded to 200 and you can take the zeros off
A 34 inch baseball bat is resting 6 inches from the base of a play house as shown how far up on the Playhouse is a baseball bat resting round to the nearest 10th
A survey at a bake-off showed that 32% of children chose strawberry cake as their favorite cake. A total of 750 children took the survey. How many children chose strawberry cake
Help me please and show work and this is geometry
Answer:
-433
Step-by-step explanation:
Step 1: Define
-5(4 + 9s) - 7(4q - 6)
s = 7
q = 5
Step 2: Simplify expression
Distribute: -20 - 45s - 28q + 42
Combine like terms: -45s - 28q + 22
Step 3: Substitute
-45(7) - 28(5) + 22
Step 4: Evaluate
-315 - 140 + 22
-445 + 22
-433
4. Rewrite the expression using the distributive property.
(7•3) + (7•7)
officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.
Answer:
34²/7
Step-by-step explanation:
Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank
The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16
The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30
¹/16-¹/30= ?
Get the LCM of the denominator which is 240
The fractions are now
15/240-⁸/240=⁷/240
1week=⁷/240 empty
? = 240/240 empty
Cross multiple
240/240×1÷7/240
240/240×1÷240/7=240/7
7÷240=34²/7 weeks
If f(x)=-2x-3 find the value f(4y)
Answer:
f(4y) = -8y - 3
Step-by-step explanation:
Step 1: Define variables
f(x) = -2x - 3
f(4y) = x = 4y
Step 2: Plug in x = 4y
f(4y) = -2(4y) - 3
f(4y) = -8y - 3
Write the value of k for which the system of equations x+y-4=0 and 2x+ky-3=0 has no solution.
A. k=2
B. k=-2
C. k=1/2
D. k=-1/2
Do this.... Well it is easy.....
if you done this one I will ask question from physics
Thank You.... ✧༺♥༻✧
Answer:
c k=1\2......................
the radius of a circular playground is 77 metre.Calculate the distance covered by a runner in 5 complete rounds around the ground.
Answer:
2419.0265 meters
Step-by-step explanation:
To find the answer you must first find the circumference of the circle. The circumference formula is C = 2 \pi r. So if you plug in 77 you get 483.8053. Then multiply that by 5 and you will have your final answer.
Determine the largest integer value of x in the solution of the following inequality. -5X - 9 > 13
Answer:
X<-4.5
Step-by-step explanation:
firstly group like terms ,You divide both side by -5 and the answer was -4.5
A random sample of 10 subjects have weights with a standard deviation of 9 8753 kg What is the variance of their weights? Be sure to include the appropriate units with the result.
Answer: The variance of their weights = 9,752,155,009 kg.
Step-by-step explanation:
The variance is the square of the standard deviation . it measures the spread between data values in a data set.So if standard deviation of 10 subjects = 98753 kg
Then, variance = [tex](9 8753 )^2\ kg=9,752,155,009\ kg[/tex]
Hence, the variance of their weights = 9,752,155,009 kg.
Which rule defines the function in the graph? Two line segments on a coordinate plane that do not meet. The first segment begins at negative 3 comma negative 4, inclusive, and ends at 1 comma zero, non inclusive. The second segment begins at 2 comma 3, inclusive, and ends at 4 comma negative 3, inclusive. Group of answer choices f(x)={ x−1, if −3 ≤ x < 1 f(x)={ −3x+9, if 2 ≤ x ≤ 4 f(x)= { x−1 , if −3 < x ≤ 1 f(x)= {−3x+9 , if 2 < x < 4 f(x)={ x−1, if −3 ≤ x < 1 f(x)={ x−3, if 2 ≤ x≤ 4 f(x)={x−1, if −3 < x ≤ 1 f(x)={x−3, if 2 < x < 4
Answer:
The correct option is;
f(x) = {x - 1 if -3 ≤ x < 1 f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
Step-by-step explanation:
The given coordinates of the points are;
For the first segment
Beginning point [-3, -4] (inclusive)
Endpoint (1, 0), (noninclusive)
For the second segment
Beginning point [2, 3] (inclusive)
Endpoint [4, -3] (inclusive)
The equation of the first segment is therefore;
y - 0 = (0 + 4)/(1 + 3)×(x - 1) = 1 × (x - 1)
y = x - 1
The equation of the second segment is found as follows;
y + 3 = (-3 - 3)/(4 - 2)×(x - 4) = -3 × (x - 4)
y + 3 = -3 × (x - 4) = -3·x + 12
y = -3·x + 12 - 3 = -3·x + 9
Therefore, we have;
f(x) = {x - 1 if -3 ≤ x < 1 and f(x) = {-3·x + 9, if 2 ≤ x ≤ 4
If you used the input value 12 in the function y=2x,what would be the output value
Answer:
24
Step-by-step explanation:
If you put 12 in for x, you would get y=2*12 and 2 times 12 is 24. I hope this helps :)
Write the expression as the sine cosine or tangent of an angle calculator.
Answer:
hello your question is incomplete here is the complete question
write the expression as the sine, cosine, or tangent of an angle.
[tex]sin 60 cos 15 + cos 60 sin 15[/tex]
answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]
Step-by-step explanation:
To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity
[tex]sin 60 cos 15 + cos 60 sin 15[/tex] can be represented in the form of ;
sin( u + v ) = sin u cos v + cos u sin v --------- (1)
comparing equation 1 with the given expression
u = 60 and v = 15
therefore writing the expression in the form of the sine of an angle would be the answer
= sin( 60 + 15 ) = sin 60 cos 15 + cos 60 sin 15
hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15
Is 2^5 the same as 5^2? Yes or No?
Explain why please help me thank you!!
Answer:
No, they are not equivalent.
Step-by-step explanation:
2^5 means 2 to the 5th power, so we multiply it by itself 5 times.
2x2x2x2x2=32
Same as 5^2
5x5=25
32>25
There is your answer, no.
solve using elimination method
-3x + 5y = 8
-2x + 7 y = -2
x = - 6
y = - 2
Step-by-step explanation:-3x + 5y = 8 | ×(-2)
-2x + 7 y = -2 | ×3
6x - 10y = - 16
- 6x + 21y = - 6
add
6x - 6x - 10y + 21y = - 16 - 6
11y = - 22
y = - 22 : 11
y = - 2
replace y
- 2x + 7(-2) = - 2
- 2x - 14 = - 2
- 14 + 2 = 2x
2x = - 12
x = - 12 : 2
x = - 6
The American Auto Association reports that the mean price per gallon of regular gasoline is $3.10, with a population standard deviation of $0.20. Assume a random sample of 16 gasoline stations is selected and their mean cost for regular gasoline is computed. What is the likelihood the sample mean is greater than $3.08
Answer:
0.65542
Step-by-step explanation:
The formula for calculating a z-score when a random sample is selected is is z = (x-μ)/standard error
where
x is the raw score
μ is the population mean
Standard error = σ/√n
σ is the population standard deviation.
n = randomly selected sample
z = (x-μ)/standard error
z = (3.08 - 3.10) / 0.20/ √16
= -0.02/0.2/4
= -0.02/0.05
= - 0.4
Determining the Probability value from Z-Table:
P(x≤ 3.08) = P(<3.08)
P (z = -0.4)
= 0.34458
P(x>3.08) = 1 - P(x<3.08)
1 - 0.34458
= 0.65542
Therefore, the likelihood the sample mean is greater than $3.08 is 0.65542
PLZ HELP FAST
short sentences plz
Answer:
Step-by-step explanation:
The women used a crib and used force to push the baby's crib
That guy was speeding
The bikes accelerated as he pedaled
The guy needed velocity to turn his bike
You need to exert to push a door
Space has no gravity
Newton's first law was a great moment
That object has interia
SORRY THAT'S THE BEST I CAN DO...
help me asap!!!!!!!!?!??
Answer:
9.225 x 10^18 is what it is in standard form
Step-by-step explanation:
Answer:
ummm, it should be 9,225,000,000,000,000,000. =D
Step-by-step explanation:
move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!
70.4 is what percent of 88?
Answer:
70.4 is 80% of 88
Suppose a student just found out that she scored a 75 on her first statistics exam, with a z-score of 0.5. Her friend, who is in a different section with the same professor, also scored a 75 but had a z-score of −0.5. What can you conclude about the mean exam scores in the two classes?
Answer:
The mean exam scores in the second section is greater than the mean exam scores in the first section
Step-by-step explanation:
Here, we are interested in making a conclusion.
Mathematically;
z-score = (score - mean)/SD
so basically, what determines the sign of the z-score is dependent entirely on the mean.
If the mean is larger than the score, we will have a negative z-score. If the mean is smaller than the score, then will have a positive z-score
So basically what drives the sign is the mean value since the scores are the same for both students in this case, irrespective of the standard deviation in both classes.
So, for the first girl with a positive z-score, we can conclude that her score is larger than the mean; while for the second girl with a negative z-score, her score is smaller to the mean.
Thus, what we conclude here is that the mean score of the second section with the professor is greater than the mean score of the first section with the professor.
All checked baggage on a particular airline company must not exceed 64 inches or an additional fee is charged.
The size of the baggage is determined by adding length + width + height.
If a bag has a height of 22 inches and a width
that is 16 inches less than the length, what lengths are acceptable for the bag to be checked free of charge?
If the bag is to be checked free of charge. its length must be __ inches or less.
What is the value of x? Enter your answer in the box. x = cm A bow tie shape polygon made of two bow ties that share a vertex. The shape is created by two segments intersecting forming two triangles with vertical angles. An alternate interior angle of the triangles are marked congruent to each other. The larger triangle is on the left and the smaller triangle is on the right. In the larger triangle, the left side of the triangle is 32 centimeters. The south side of the triangle is 40 centimeters. On the smaller triangle, the right side of the triangle is 4 centimeters. The north side of the triangle is labeled x.
Answer:
side x is 5 cm long
Step-by-step explanation:
Use proportions, given that the two triangles are similar because they contain three equal angles:
One angle due to connected by the vertex (oppose by the vertex), another angle as marked with the tick, and the third one has to be the same due to the fact that the addition of the three internal angles of a triangle must equal 180 degrees.
Then our proportion becomes:
[tex]\frac{4}{32} =\frac{x}{40}[/tex]
And then we solve for x by multiplying both sides by 40 (to eliminate the denominator on the right):
[tex]\frac{4}{32} =\frac{x}{40} \\\frac{4*40}{32} =x\\ x=5\,\,cm[/tex]
Answer:
5cm
Step-by-step explanation:
Just took the test :)
13/24 × 3 5/9 multtplying fraction help
Answer:
31/6
Step-by-step explanation:
Step 1:
13/24 × 3 5/9
Step 2:
13/24 × 32/9
Step 3:
62/12
Answer:
31/6
Hope This Helps :)
Evaluate 7m+2n-8p/n m=4, n=2, and p=1.5 please help me
Answer:
10
Step-by-step explanation:
7(4)+2(2)-8(1.5)/2
28+4-12/2
20/2
10
7m+2n-8p/n
7(4)+2(2)-8(1.5)/2
28+4-12/2
28+4-6
32-6=26
ANSWER = MY ETERNAL LOVE determine an equation of the line which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2). make sure to show all work.
Answer:
Perpendicular Bisector Equation: y = 12x - 9.500
Step-by-step explanation:
Let find out the midpoint for given coordinates as follows:
[(-5+7)/2, (3 +2)/2]
= (2/2, 5/2)
= (1,5/2)
The midpoint coordinates are (1,5/2) means (x1 , y2)
2. Find the slop of line for given coordinates as follows:
(2-3)/(7-(-5)
= -1/12
3. Find the negative reciprocal as follows
-1/12
= 12 (m)
4. Now find the perpendicular bisector equation as follows:
y – y1 = m ( x – x1)
y – 3 = 12 (x – (-5)
y = 12x - 9.5
The required equation of the line is x + 12y = 41 which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).
What is a perpendicular bisector?A perpendicular bisector is defined as a line that divides an angle into two equal angles.
The perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).
We have to determine the equation of the line
Let x₁ = -5, y₁ = 3 and x₂ = 7, y₂ = 2
The required of equation line is:
y - y₁ = (y₂ - y₁ )/( x₂ - x₁ )( x - x₁ )
Substitute the values in the formula to get the line,
y - 3 = (2 - 3)/(7 - (-5))(x - (-5))
y - 3 = (-1/12)(x+5)
12y - 36 = -x -5
x + 12y = 41
Thus, the required equation of the line is x + 12y = 41.
To learn more about the equations click here:
brainly.com/question/10413253
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Rewrite the expression 10 to the -3 power
Answer: 0.001 or 1/1000
Since it is a negative exponent and -3 so it is in the thousandths, so 1/1000 or 0.001.
Have a good day! : )
Can someone please help ty!!
Answer:
Try the light blue one, I really just guessing but good luck!!