Answer:
$1.56
Step-by-step explanation:
4.68/3 = 1.56
Unit price is $1.56
Answer:1.56
Step-by-step explanation: 4.68/3=1.56
Why aren't convenience samples usually representative
of the population?
Answer:
The results of the convenience sampling cannot be generalized to the target population because of the potential bias of the sampling technique due to under-representation of subgroups in the sample in comparison to the population of interest. The bias of the sample cannot be measured.
The Jones' old $47,000, 30 year, 12.8% mortgage has a monthly payment of $512.58. Over the 6 years since they took the loan, mortgage rates dropped. They can now apply for a mortgage at 9.05%, which will result in a new monthly payment of $369.36. To refinance, they must pay $1,020 in closing costs and a $480 prepayment penalty. Find the net amount they will save in the first year.
The net amount that will be saved by the Jones for the first year will be $814.32.
How to calculate the net amount?From the information given, the old mortgage yearly payment will be:
= Monthly payment × Months
= $259.32 × 12
= $3111.84
The new monthly yearly payment will be:
= Monthly payment × Months
= $327.18 × 12
= $3926.16
Therefore, the net amount that will be saved will be:
= $3926.16 - $3111.84
= $814.32
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Manuel wants to rent a boat and spend at most 34. The boat costs 8 per hour, and Manuel has a discount coupon for 6 off. What are the possible numbers of hours Manuel could rent the boat?
5 hours
6 times 5 is 30, and if hes not wanting to go over, then it'd be 5 hours for $30
At a concession stand, three hot dog(s) and two hamburger(s) cost $7.50, two hot dog(s) and three hamburger(s) cost $8.75. Find the cost of one hot dog and the cost of one hamburger
Step-by-step explanation:
If 3 HD and 2HB cost $7.50
2 HD and 3HB cost $8.75
Let,y be HD
Y be HB
So 3y + 2x = $7.50. Eqn 1
2y + 3x = $8.75. Eqn 2
Solve simultaneously
Make x the subject in Eqn 1
3y + 2x = 7.50
2x = 7.50 - 3y
Devide by the coefficient of x
2x/2 = (7.50 - 3y) / 2
X = (7.50 - 3y) /2 Eqn 3
Put Eqn 3 into 2
2y + 3(7.50 - 3y) / 2 = 8.75
2y (22.5 - 9y) / 2 =8. 75
Multiply by the lcm of the denominators
2y x 2 + ((22.5 - 9) / 2) x 2 = 8.75 x2
4y + 22.5 - 9y = 17.50
Group like terms
22.5 - 17.50 = 9y - 4y
5 = 5y
5/5 = (5y) / 5
1 = y Eqn 4
Therefore 1 HD is $1
Put Eqn 4 into eqn 3
X = (7. 50 - 3y) / 2
X = (7.50 - 3(1)) / 2
X = 4.5 / 2
X = 2.25
Therefore 1 HB is $2.25
Find the measure of the missing angle.
Answer:
You see that 73 degrees and angle 'a' must add up to be = to 180 degrees since both angles form that straaight line on the left. So 180 degrees - 73 = 107 degrees which is measure of angle 'a'
Step-by-step explanation:
Answer:
107°
Step-by-step explanation:
The two angles below form a linear pair.
They are characterized by forming a sum of 180°, which is the standard angle measure of any line.
⇒ a + 73° = 180°
⇒ a = 107°
Simplify the expression: 4(− + 7) < 40 *
a > −11.75
b < −11.75
c < −3
d > −3
Answer:x=70
Step-by-step explanation:
STEP
1
:
40
Simplify ——
x
Equation at the end of step
1
:
4 40
— - —— = 0
7 x
STEP
2
:
4
Simplify —
7
Equation at the end of step
2
:
4 40
— - —— = 0
7 x
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 7
The right denominator is : x
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 1 0 1
Product of all
Prime Factors 7 1 7
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
x 0 1 1
Least Common Multiple:
7x
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = x
Right_M = L.C.M / R_Deno = 7
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 4 • x
—————————————————— = —————
L.C.M 7x
R. Mult. • R. Num. 40 • 7
—————————————————— = ——————
L.C.M 7x
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 • x - (40 • 7) 4x - 280
———————————————— = ————————
7x 7x
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
4x - 280 = 4 • (x - 70)
Equation at the end of step
4
:
4 • (x - 70)
———————————— = 0
7x
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
4•(x-70)
———————— • 7x = 0 • 7x
7x
Now, on the left hand side, the 7x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
4 • (x-70) = 0
Equations which are never true:
5.2 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.3 Solve : x-70 = 0
Add 70 to both sides of the equation :
x = 70
One solution was found :
x = 70
You have a bag of gummy worms with 5 green, 3 blue, 6 red, and 2 orange. Which expression represents the probability that you will reach into the bag and pull a red worm, eat it, and then pull a green worm?
Answer:
[tex]\frac{1}{8}[/tex] I think
Step-by-step explanation:
you have a bag witha a total of 16 gummy worms right? 6 out of 16 of them are red, 5 out of 16 are green.
so you pull out a red one and eat it. the probabilty of you doing that is [tex]\frac{6}{16}[/tex] . keep it in mind that you ate a gummy worm.after enjoying that gummy worm you decide to take another one, but this time, it's green. you know you just ate one right, but you did not replace it now did you? what that means is out of the 16 gummies you had, you are now left with 15 (because you ate one).now you are left with 15 gummy worms. you take a green one out of the packet. the probabilty of you doing that is [tex]\frac{5}{15}[/tex].now that you've got your probabilities all sorted, now it's time to use some basic probability principles. if you ever come across a probability question with the word and, you need to know automatically that you are multiplying. if you ever come across the word or, you are adding. it's always gonna be like this.
so when you multiply your two probabilities, you get the answer [tex]\frac{1}{8}[/tex]
whenever you're dealing with probability, make sure you're aware of things that are being taken. check whether they're being replaced or not. the way I attempted at working it out is how the other probability questions involving replacements are solved, no matter what it is.
I really hope you found this helpful (that is if all I said is correct) :)
Spencer deposited $10 in an account earning 5% interest compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
I (interest) = $1.58
Step-by-step explanation:
A = $11.58
A = P + I where
P (principal) = $10.00
I (interest) = $1.58
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 10.00(1 + 0.05/1)^(1)(3)
A = 10.00(1 + 0.05)^(3)
A = $11.58
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10.00 at a rate of 5% per year compounded 1 times per year over 3 years is $11.58
There are 5 cups of oatmeal in a container stella eats 1/3 of oatmeal every day for breakfast in how many days will stella finish all the oatmeal in the container
Answer:
15 days
Step-by-step explanation:
if she eats 1/3 cup of outmeal each day then in 3days she will have eaten 1 cup so to get to 2cups he will have to eat for 3 more days so it goes 3 days by 3 days this will be easy to do on a number line but you could also just multiplying the 3days times the 5 cups because thats how many cups you want to get to finish so it will be 15 the 15 days it took me time to understand hope this was helpful
The number of days is 15 days.
What is unit rate?A rate is a ratio that compares two quantities of DIFFERENT. kinds of UNITS. A unit rate has a denominator of 1 unit when the rate is written as a fraction. To write a rate as a unit rate: divide the numerator and the denominator of the rate by the denominator.
here, we have,
to determine the number of days
From the question, we have the following parameters that can be used in our computation:
Size = 5 cups
Rate = 1/3 cup per day
The question illustrates unit rates
A unit rate is a rate in which the denominator of a ratio is 1 unit.
In other words, it is the amount of something per one unit of another thing.
Using the above as a guide, we have the following:
Number of days = 5/(1/3)
Evaluate the quotient
Number of days = 15/1 days
This gives
Number of days = 15 days
Hence, the number of days is 15
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1. What is the area of the triangle? (Area of triangle = 1/2*b*h)
2. What is the area of the semicircle? Round your answer to the nearest tenth (Area of circle = 3.14 *r^2)
1. The area of the triangle = 40 m².
2. The area of the semicircle = 64.3 m²
What is the Area of a Triangle?Area = 1/2(base × height)
What is the Area of a Semicircle?Area = 1/2(πr²)
1. Area of the Triangle = 1/2(base × height) = 1/2(10 × 8)
Area of the triangle = 40 m².
2. Use Pythagorean Theorem to find the hypotenuse of the triangle which is the diameter of the semicircle.
Hypotenuse = √(10² + 8²) = 12.8 m
Radius of the semicircle = 12.8/2 = 6.4 m
Area of the semicircle = 1/2(3.14 × 6.4²) = 64.3 m²
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A bakery sells cupcakes by the dozen. Last week they sold 258 dozen cupcakes. How many cupcakes did they sell?
If the perimeter of the triangle shown below is 48x + 9, what is the length of the missing side? 4x+2 3x – 9 NEED ANSWER ASAP
Answer:
41x+16
Step-by-step explanation:
4x+2+3x-9+c=48x+9. You can move all the things you know to the other side.
c= 48x-4x-3x-2+18
c=41x+16
Solve the system of linear equations. separate the x- and y- values with a coma. -5x+6y=33 -18x+4y=-22
hey, can I have some help with this? I don't get it so let me know if you have an explentation. Thanks :)
Answer: 250
Step-by-step explanation:
This problem is attempting to explain the distributive property to you.
The distributive property states that if you have the numbers a, b, and c:
[tex](a*c) + (b*c) = c * (a+b)[/tex]
In your specific case, this would look like this:
[tex](23+37) * 4\frac{1}{6}[/tex]
[tex]60 * \frac{(4*6)+1}{6}[/tex]
[tex]60*\frac{25}{6}[/tex]
To simplify, we factor a 6 out of the equation:
[tex]10*25 = 250[/tex]
the dot plot below shows the number of books read during one month by students in the sixth grade at Ledbetter middle school.Each dot plot represents one student
Answer:
Bedwetter middle school? Also where is dot plot
Step-by-step explanation:
If 10 g of a radioactive substance are present initially and 4 yr later only 5.0 g remain, how much of the substance, to the nearest tenth of a gram, will be present after 9 yr?
Answer:
3.15g
Step-by-step explanation:
2.2 g of the substance, to the nearest tenth of a gram, will be present after 9 yr.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is y = y₀.e^(kt).
The formula for exponential decay is y = y₀.e^(-kt).
Given, 10g of a radioactive substance is present initially and 4 yr later only 5.0g remain.
∴ y₄ = y₀.e^(kt).
5 = 10.e^(4k).
e^(4k) = 1/2.
lne^(4k) = ln(1/2).
4k = - 0.69.
k = - 0.69/4.
k = - 0.17.
At this rate after 9 years later the amount of substance left will be,
y₉ = 10.e^(-0.17×9).
y₉ = 10.e^(-1.53).
y₉ = 10/e^(1.53).
y₉ = 10/4.62.
y₉ = 2.16 g.
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Please help me with Part C of this question!!!
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A change is a difference. A rate of change is one difference divided by another, usually the change in y-value divided by the change in x-value.
__
a.The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
__
b.Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
__
c.We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
What is the correct way to read 0.2305
zero point two three zero five
hope it helps...!!!
Answer:
TWO THOUSAND THREE HUNDRED FIVE TEN-THOUSANDTHS
Step-by-step explanation:
What is the approximate area of the shaded region?
Answer:
383 cm²
Step-by-step explanation:
⇒ Area of the figure = Area of the circle - Area of the 5-sided polygon (pentagon)
Finding P (Perimeter of the Pentagon)
P = 5(21.2)P = 106 cmFinding Area
A = πr² - 1/2PaA = 3.14 x (19.8)² - 1/2 x 106 x 16A = 3.14 x 392.04 - 53 x 16A = 1231.0056 - 848A = 383.0056 ≅ 383 cm²Solve all this
1) 2x-8=11x-10
2)6x-6=3x+1
3)1/2x+4=1/3x+1
4)-2/5x+1/3=1/2x+1/4
5)5/3x2=1/2x-2/3
Answer: hii :)
1. 2x-8=11x-10 = 2/9
2. 6x-6=3x+1 = 7/3
3. 1/2x+4=1/3x+1 = -18
4. -2/5x+1/3=1/2x+1/4 = 5/54
5. I dont know the answer to <3
Step-by-step explanation:
Hopefully this helps you,
Sorry for being late on the question.
- Matthew
Write the solution for x +5 ≤ 8 in set notation
The pie chart below indicates the eye colors of students
in a statistics class
Which of the following could be the percentage of
students with brown eyes?
Eye Colors
O 10%
15%
20%
O 35%
Blue
Brown
Green
Hazel
Gray
Answer:
15% could be for brown eyes
If the figure is a net of a square pyramid, drag it to the “Nets of Square Pyramids” column.
If the figure is not a net of a square pyramid, drag it to the “Not Nets of Square Pyramids” column.
Answer:
Step-by-step explanation:
1st is a net of a square pyramid.
2nd is a net of a square pyramid.
3rd is not a net of a square pyramid.
4th is not a net of a square pyramid.
5th is a net of a square pyramid.
6th is not a net of a square pyramid.
Answer:
see attached
Step-by-step explanation:
A net of a square pyramid will have four triangle shapes representing the lateral faces, and one square shape representing the base. The vertices of the triangles that are opposite the base edge will meet at a single point.
__
Figures 3 and 4 must be rejected because they have 3 and 5 triangles, respecively.
Figure 6 must be rejected because the figure cannot be folded to form a square pyramid. (The two left-side triangles will overlap.)
A contractor on construction job specified a penalty for delay of completion beyond a certain date as: Rs.200 for the first day, Rs.250 for the second day, Rs300 for the third day and so on. The penalty for each succeeding day being Rs50 more than that of preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?
Can someone tell me the answer of this??
Answer:
Rs 27750Step-by-step explanation:
The penalty for each day forms a sequence
200, 250, 300, ...This is an AP with the first term of 200 and common difference of 50
The sum of the first 30 terms is
[tex]S_{30}=30*(a_1+a_{30})/2=15(200+200+29*50) = 27750[/tex]Answer :
Refer to the attachmentAdditional Information :
Arithmetic progression (A.P.) is a sequence in which each term can be found by adding a certain quantity to its preceding termDifference between two consecutive terms is called common differenceProgression means it's a type of sequence in which each term is related to its predecessor and successor.A storage compartment is shaped like this hexagonal prism. The prism has a base area of 7.35 cm². What is the volume of the compartment? Enter your answer as a decimal in the box.
Can someone please answer the question in the photo attached below for me :) i would really appreciate it and i will also mark brainliest if answered correctly
Answer:x^5
Step-by-step explanation:
[tex]\sqrt[b]{x^a}[/tex] = x^(a/b)
[tex]\sqrt[6]{x^5}[/tex] = x^(5/6)
(x^(5/6))^7
multiply 7 by numerator 5
x^(35/6)
x^(35/6)
[tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]
What is Expression?
An expression is combination of variables, numbers and operators.
The given expression is [tex](\sqrt[6]{x^5} )^7[/tex]
We have an exponential property [tex]\sqrt[b]{x^a} =x^\frac{a}{b}[/tex]
By using this property we solve the given expression [tex](\sqrt[6]{x^5} )^7[/tex]
We have to convert to rational exponent.
[tex](\sqrt[6]{x^5} )^7=(x^\frac{5}{6})^7[/tex]
=[tex]x^\frac{35}{6}[/tex]
Hence, [tex](\sqrt[6]{x^5} )^7[/tex] expression can be written in rational exponent as [tex]x^\frac{35}{6}[/tex]
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sets of linear systems wherein there is one Consistent & Dependent, Consistent & Independent, and one Inconsistent.
Answer:
What is the difference between entering a formula and entering data ??
please helpppppppppppppppp
Help pls!!!!!!!!!! :<<<<
The answer to this question is D 2/4
40% if what number is 46?
Answer:
40 percent of 46 is 18.4.