This problem can be solved by the chicken rabbits method or you can just do simple algebra.
I.) Chicken and rabbits method
First assume all 110 coins are dimes and none are quarters.
We will have a total value of 11 dollars
Now for each dime we switch out for a quarter, we adds 15 cents to the total value.
18.50-11=7.50 dollars
There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.
This also meant that we need to switch out 50 dimes for 50 quarters.
So we have 50 quarters.
That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.
Let's say there are x dimes and y quarters.
Set up equation
x+y=110
10x+25y=1850
Now solve multiply first equation by 10
10x+10y=1100
subtract
15y=750
y=50
Now we set the numbers of quarters to y so the answer is 50 quarters.
I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.
In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain.
Answer:
Spencer is correct
Step-by-step explanation:
because you always go for the lowest number
Answer:
Spencer
Step-by-step explanation:
Spencer got it corret because the answer is x=2/5
but jeremiah subtracted 6x so he got x=1/3
Hope this helps :)
Can I have brainliest Plsssss
5x3 + 9x² - 13x - 2
As x approaches --, f(x) approaches
As x approaches +o, f(x) approaches
9514 1404 393
Answer:
(x, y) → (-∞, -∞), (+∞, +∞)
Step-by-step explanation:
The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:
x → -∞, f(x) → -∞
x → ∞, f(x) → ∞
If you currently have $4,500 in a savings account and you earn 6% simple interest on the principal for 4 years, what is the amount of interest you will earn?
Answer:
$1,181.15
Step-by-step explanation:
Hope this helps.
Solve the system below using linear combination. 2x – 7y = -7 3x + 8y = 45 i need a step by step explanation please
Answer:
the Value of y=3 and x=5or 4.5
can someone help me with this (will give brainliest)
please view the attached image
Answer:
rate: 4 rate: -2
starting: 3 starting: 30
y= -4x + 3 y= -2x + 30
rate: 2 rate: 6
starting: -4 starting: 6
y= 2x -4 y= 6x + 6
Step-by-step explanation:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
^equation to find slope
To also find b, the starting value, you need to take any point given and substitute it back into the equation with the slope.
However, these problems give you the y-int already [it is the point like (0,y)]
7-3/1-0 = 4/1
rate: 4
starting: 3
y= 4x + 3
28-30/1-0= -2/1
rate: -2
starting: 30
y= -2x + 30
-2 - (-4)/1-0 = 2/1
rate: 2
starting: -4
y= 2x -4
6-0/1-0 = 6/1
rate: 6
starting: 6
y= 6x + 6
LITRALLY HELP PLS
Describe how you calculated surface area. Provide a few examples of how the concept of surface area can be used in the real world!!
Answer:
Halo!!! i wrote my answer below your epic btw
Step-by-step explanation:
you first have to break up the surface of the shape into smaller shapes so that they are easier to work with. you then calculate all of the shapes and add them together. this can be used in the real world to find the area of houses when you need to find how much space an area of the house has.
PS:If u didnt learn to find surface area this way insert anything you want into the beggining sorry i dont know what youve been learning
Math hard
Question: Which of the following number sentences is an example of the commutation property of multiplication?
A:27+3=3+27
B:4x5=10x2
C:18x1=1x18
D:2x(9x14)=(2x9)x14
Answer:
C:18x1=1x18
when multiplying 2 numbers, the result is the same in either order.
Find Cecilia’s average monthly income if her biweekly take-home pay is $764.00. Help please. Will give braineliest
Graph the solution set of the inequality 1/2y < -3
Answer:
y < − 6 ?
Step-by-step explanation:
Its a straight line on graph so it's linear
Answer:
w
Step-by-step explanation:
Solve the following equation. Then place the correct number in the box provided.
Answer:
x ≤ 6
Step-by-step explanation:
2x-1 ≤ x+5
Subtract x from each side
2x-x-1 ≤ x-x+5
x-1 ≤ 5
Add 1 to each side
x-1+1 ≤ 5+1
x ≤ 6
wuestions
(a) An angle measures 51°. What is the measure of its supplement?
(b) An angle measures 27°. What is the measure of its complement?
Answer:
a - 129
b - 63
Step-by-step explanation:
for a - supplementary angles add up to equal 180
so to find the measure of its supplement we subtract the given angle from 180 180-51=129
so the measure of a supplement angle is 129
for b - complementary angle add up to equal 90
so to finds the measure of its complement we subtract the given angle from 90
90-27=63
so the measure of its complement is 63
Answer:
(a) An angle measures 51°. the measure of its supplement=180-51=129°
b) An angle measures 27°. the measure of its complement=90-27=63°
Which graph best represents a function with zeros of -4, -2, and 4?
Answer:
D.
Step-by-step explanation:
The line goes through those points
The polynomail that represents the graph will be g(x) = (x + 4)(x + 2)(x - 4). Then the correct option is D.
How to get polynomials with zeroes?Let a, b, c, and d are the zeroes of the polynomial.
Then the polynomial is given as,
⇒ (x - a)(x - b)(x - c)(x - d)
The degree of the polynomial will be greater than or equal to the number of zeroes.
The zeroes of the function are -4, -2, and 4. Then the factor of the equation is given below.
x = - 4
x + 4 = 0
x = -2
x + 2 = 0
x = 4
x - 4 = 0
Then the polynomial is given below.
g(x) = (x + 4)(x + 2)(x - 4)
The polynomail that addresses the chart will be g(x) = (x + 4)(x + 2)(x - 4). Then the right choice is D.
More about the polynomial link is given below.
https://brainly.com/question/11536910
#SPJ5
w^2 -8 if w=7
Answer whenever
Answer:76
Step-by-step explanation:
Hope it help correct me if i am wrong
A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standard deviation, sigma. Given a random sample of n drinks and the sample mean, x-bar, you find a 90% confidence interval for the mean of all drinks dispensed by this machine. Then you calculate a 90% confidence interval (same confidence level) using a larger sample, for example (n 20) drinks. Also, you notice that the sample mean, x-bar, is the same for both samples.
Required:
Was this a reasonable decision?
Answer:
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
Step-by-step explanation:
90% confidence interval
larger sample size = 20
condition : sample mean ( x-bar ) is the same for both samples
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
from condition 1 :
Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%
for condition 2 :
sample size = 20
mean = 2.25 ( assumed value )
std = 0.15 ( assumed value )
Z = 1.645 ( Z-value )
determine the 90% confidence interval
= mean ± z [tex]\frac{std}{\sqrt{n} }[/tex]
= 2.25 ± 1.645 [tex]\frac{0.15}{\sqrt{20} }[/tex]
= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )
what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.
Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)
Step-by-step explanation:
Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your
answer to the nearest tenth if necessary.
M
P Р
O
1
23
51.6
38
N
Answer:
[tex]NO= 31.2[/tex]
Step-by-step explanation:
See attachment for triangle
From the attachment, we have:
[tex]KL = 51.6[/tex]
[tex]LM= 38[/tex]
[tex]OP = 23[/tex]
Required
Find NO
This will be calculated using the following equivalent ratios:
[tex]NO : OP = KL : LM[/tex]
This gives:
[tex]NO : 23= 51.6: 38[/tex]
Express as fraction
[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]
Make NO the subject
[tex]NO= \frac{51.6}{ 38} * 23[/tex]
[tex]NO= \frac{51.6* 23}{ 38}[/tex]
[tex]NO= \frac{1186.8}{ 38}[/tex]
[tex]NO= 31.2[/tex] --- approximated
Answer:
x≈ 16.9
Step-by-step explanation:
What is the total deposit on the deposit slip below?
choose the scatter plot in which the outlier is highlighted
Answer:
its the second graph top right
Step-by-step explanation:
an outlier is a point that deviates from the rest
Alexander order 24 dozen eggs for her restaurant 8 of the eggs arrived broken how many unbroken eggs this year received
Answer:
4 eggs
Step-by-step explanation:
Which of the following shows the greatest percent increase?
A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000
Simplify the expression: 5(2n - 3) + 4(-3n + 2)
A
-9
В.
8n - 1
C.
--2n - 1
D
-2n - 7
Answer:
-2n-7
Step-by-step explanation:
5(2n - 3) + 4(-3n +2)
10n - 15 - 12n + 8
-2n - 7
I need help plz 6x-5=2x+7
Answer: x=3
Step-by-step explanation; Add 5 to both sides of the equation
6x-5+5=2x+7+5
simplify: add the numbers
6x-5+5=2x+75 = 6x=2x + 7+5
6x =2x + 7+5
6x=2x +12.
subtract 2x from both ides of the equation: 6x=2x + 12
6x - 2x =2x + 12-2x6
combine like terms u should get 4x= 12
divided both sides of the equation by the same term 4x=12 4x/4 =12/4
Cancel terms that are in both the numerator and denominator u should get x=12/4
divided the numbers and ur answer is X=3
In Mr.Wilson's math class the average of the 20 test scores that was 82. When the top 5 scores were eliminated, the average of the remaining scores was 78. What was the average of the top 5 scores that were eliminated
Answer:
82, 81, 80, 79, 78
Step-by-step explanation:
I dont know if this will help but hope it does
Answer:
vgfvxdvcvsdvcvdbxvbvdvxfvwcvtgrvfrwevtfcrdsvgvferfdvfecdfdvgtvtfgcevgbtrvthytrjgrvhc
Step-by-step explanation:
(4/2)4 + (1 + 3)?
I really need help!
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Just do PEMDAS}[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Exponents}[/tex]
[tex]\large\text{Multiplication}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Subtraction}[/tex]
[tex]\mathsf{(\dfrac{4}{2})(4) + (1+3)}[/tex]
[tex]\mathsf{\dfrac{4}{2} = 2}[/tex]
[tex]\mathsf{2(4) + (1 + 3)}[/tex]
[tex]\mathsf{2(4) = 8}[/tex]
[tex]\mathsf{8 + (1 + 3)}[/tex]
[tex]\mathsf{1 + 3 = 4}[/tex]
[tex]\mathsf{8 + 4 = 12}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf \huge12 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Question 3 of 10
You roll two number cubes.
Let event A = You roll an even number on the first cube.
Let event B = You roll a 4 on the second cube.
Are the events independent or dependent? Why?
A. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
B. Independent, because they have no outcomes in common.
C. Dependent, because both cubes have six sides.
D. Dependent, because 4 is an even number.
Answer:
D
Step-by-step explanation:
They are both even numbers the 4 is seperated into 2,2 and if 4 is an even and event A is even it would be dependent
What is the value of x in the diagram below?
Answer: D: 7
Step-by-step explanation:
14/2 = 7
49/7 = 7
Michelle deposited $3,400 into an account. She made no additional withdrawals or deposits. Michelle earned 1.95% annual simple
interest on the money in the account
What was the balance in her account at the end of 2.5 years?
Enter the amount in the account in the box.
$_______
Answer: 96 cents or 0.96
Step-by-step explanation:
When in a money problem like this and it is telling you to find the tax, fee, or and bonus you move the decimal in front of the number or decimal and round to the nearest penny and in this situation .195 rounds to .96
The balance in her account at the end of 2.5 year should be considered as the $3,568.
Calculation of the balance in the amount:Since deposited amount si $3,400
The interest rate is 1.95%
And, the time period is 2.5 years
So, here the balance should be like
[tex]= 3400 \times (1 + 1.95\%)^{2.5[/tex]
= $3,568
hence, The balance in her account at the end of 2.5 year should be considered as the $3,568.
Learn more about interest rate here: https://brainly.com/question/24002393
Given the equitation 3x+6x=30. What is the slope and y intercept.
Answer:
slope-5/3-1 2/3
y-intercept=-2
Step-by-step explanation:
hope that helps if correct please mark as brainliest thank you
19NBoli
Find the lateral surface area of
the following cylinder:
r = 5 cm
5 cm
LSA= [ ? ]n cm?
Leave your answer in terms of T.
Enter the number that goes in the green box.
Answer:
50π cm²
Step-by-step explanation:
Lateral surface area of a cylinder is the area surrounding curved surface of the cylinder
Thus:
Lateral surface area of the cylinder = 2πrh
Where,
r = 5 cm
h = 5 cm
Plug in the values
Lateral Surface Area = 2*π*5*5
= 50π cm²
Help for brainliest!
Answer:
I believe it's d but I could be wrong but I'd try it