Answer:
23 nickels, 39 quarters
Step-by-step explanation:
Let x = the number of quarters
Let y = the number of nickels
x + y = 62 x = 62 - y
.25x + .05y = 10.90
Multiply both sides of the equation by 100 to get rid of the decimal points.
25x + 5y = 1090
25(62-y) + 5y = 1090
1550 - 25y + 5y = 1090
1550 - 1550 - 25y + 5y = 1090 - 1550
-20y = -460
-20y / -20 = -460 / -20
y = 23 nickels
x = 62 - y
x = 62 - 23
x = 39 quarters
Step-by-step explanation:
q = number of quarters ($0.25 per coin)
n = number of nickels ($0.05 per coin)
q + n = 62
q×0.25 + n×0.05 = 10.9
from the first equation we get for example
q = 62 - n
and we use that in the second equation
(62 - n)×0.25 + n×0.05 = 10.9
15.5 - n×0.25 + n×0.05 = 10.9
15.5 - n×0.2 = 10.9
4.6 - n×0.2 = 0
4.6 = n×0.2
n = 4.6/0.2 = 23
q = 62 - n = 62 - 23 = 39
so there are 39 quarters and 23 nickels in the jar.
Translate the expression: “the difference between twice a number and 23”
Answer:
23- 2x
Step-by-step explanation:
Twice a number is 2 and "x" represents "a number"
Key words: Twice, Difference (subtraction)
What is the unit rate of 27:24
Answer:
It's nine 9...........
Step-by-step explanation:
Its nine
Answer:
9
Step-by-step explanation:
Notice that 27 can be factored out as 3 * 3 * 3
and 12 can be factored out as: 2 * 2 * 3
then when we study the ratio 27/12, we can cancel out a factor 3, leaving us with: (3 * 3) / (2 * 2) = 9 / 4
Then 9 is the number you need to type in the box.
What does the variable represent in your equation?
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment.
What error, if any, did Noah make?
Answer:
breathing, jk buddy
Step-by-step explanation:
What does 2/4 + 3/6=
Answer: 1
Step-by-step explanation: becuase 2/4 + 3/6 = 1
Answer: 6/6 = 1
Step-by-step explanation:
First, if you were to look at both fractions they both equal to 0.5 or one half.
Therefore, 2/4 = 1/2
And, 2/4 = 1/2
1/2 + 1/2 = 1
Write the phrase as an expression.
the quotient of seven and a number p
Answer:
The quotient of seven and p
7 / p
Need Help Geometry Question I will give brainliest
The price of a new pair of cross trainer shoes is $95. If the price increases
at a rate of 8% per year, find a formula and the price 10 years from now?
Answer:
Taha to the back of the bus when I get a chance to take a
Which is the graph of y=3/4 x -3?
Answer:
graph A.
Step-by-step explanation:
Daria needs to fill 4 gift baskets equally with bags of candy and boxes of cookies. She has 12 bags of candy and 8 boxes of cookies and wants to give all of them away.
Which expression should be used to determine the total number of bags of candy and boxes of cookies she will place in each basket?
(A) (12 + 8) * 4
(B) 12 + (8 divided by 4)
(C) (12 divided by 4) + (8 divided by 4)
(D) (12 + 8) divided by (8 + 12)
Answer:
(C) (12 divided by 4) + (8 divided by 4)Step-by-step explanation:
(12 ÷ 4) + (8 ÷ 4) = ?3 + 2 = ?5• Therefore, each gift basket have 5 total numbers of candies and cookies combined.• Therefore, each gift basket have 3 candies and 2 cookies.\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)
solve the equation secx=2 on interval[0,2pie)
The threes solutions to the given equation sec²x - secx = 2 are:
\(x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ; \ x_3=\pi\)What exactly are equations?An equation is a statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To solve: sec²x - secx = 2 on interval [0,2\(\pi\))
When we set t = sec x, we get the quadratic equation:
\(t^2-t-2=0\)Which has the solutions: \(t_1=2 ; \quad t_2=-1\)As a result, we must seek solutions to the equations:
\([1] \sec x=2: \quad \cos x=\frac{1}{2} \rightarrow x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ;$\\\text { [2] } \sec x=-1: \quad \cos x=-1 \rightarrow x_3=\pi ;\)
Therefore, the three solutions are:
\(x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ; \ x_3=\pi\)Know more about equations here:
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The correct question is given below:
solve the equation sec²x - secx = 2 on interval [0,2\(\pi\))
What is the next number to follow 17, 18, 22, 31, 47, ?
Answer:
72
Step-by-step explanation:
First differences are ...
18 -17 = 1
22 -18 = 4
31 -22 = 9
47 -31 = 16
We observe that these are square numbers. The next square number is 25, so we expect the next number in sequence to be ...
47 +25 = 72
Please Solve, Thank you!
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!
Here a easy one tooooooooooooo
Answer: See explanation
Step-by-step explanation:
1.) There's an angle supplementary to m∠123°, that angle is y
y and m∠123° are supplementary since they're linear pairs
y + 123 = 180
Subtract both sides by 123
y = 57°
Now we know at least two angles of the triangle, x + y + m∠92° has to be 180° because they form a triangle.
x + y + m∠92° = 180°
x + 57 + 92 = 180
x + 149 = 180
Subtract both sides by 149
x = 31°
2.) We have to figure out the missing angle in the triangle, that missing angle is once again, y.
y + 100 + 25 = 180
y + 125 = 180
y = 55°
x and y are supplementary angles because they form a straight line
x + y = 180°
x + 55 = 180
Subtract both sides by 55
x = 125°
Hope I helped!
9 less than 18 times a number x
Answer: 18x- 9
Step-by-step explanation:
1.) Put the numbers in their correct lineup. 18 * x - 9
2. Add parentheses around 18 * x, secluding them away from the -9.
(18 * x) -9
3.) Remind yourself of PEMDAS (Parentheses, Exponents, Multiplication, Division, Add, and Subtract). In this equation, 18 * x are in parentheses().
(18 * x)
4.) Multiply 18 * x... Which equals 18x.
5. Equation should now look like : 18x - 9
6. You can't combine those two numbers because the coefficiant (The coefficiant is 18.) and the regular number (-9) are not equal.
8. Answer : 18x-9
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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Factor the polynomial: 16h^2-18h-9
Answer:
(8h+3) x (2h-3)
Step-by-step explanation:
Rewrite the expression, write -18 as a difference: 16h^2+6h-24h-9
Factor out 2h from the expression: 2h x (8h+3)-24h-9
Factor out -3 from the expression: 2h x (8h+3)-3(8h+3)
Factor out 8h+3 from the expression: (8h+3)x(2h-3)
Hope this helps! If you have any questions pls ask. Have a very wonderful day!!
Three percent of the students at Lincoln High are in orchestra, 5% are in band, and 1% are in both. If a student is selected at random, what is the probability that the student is in orchestra or band?
The probability that the student is in orchestra or band is 0.07 or 7%.
What is the probability that the student is in orchestra or band?Here we know the distributions:
3% of the students are in the orchestra.5% of the students are in the band.1% of the students are in both.Then the percentage of students that is in the orchestra or in the band (or in both) is given by:
3% + 5% - 1%
We are subtracting the 1% because these ones are in both groups, so we are counting them twice.
Then the percentage is:
P = 3% + 5% - 1% = 7%
So the probability is given by:
P = 7%/100% = 0.07
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During a sale, a customer bought 5 shirts and 4 hats and spent $160.00. Another customer bought
3 shirts and 2 hats and spent $90.00. What are the prices of one shirt and one hat?
Answer:
Step-by-step explanation:
Shirts = x Hats = y
5x + 4y=160 (1)
3x + 2y=90 (2)
Multiply (2) with 2 and you have 6x+4y=180 (3)
Then subtract (1) from (3) and you have 6x-5x +4y -4y = 20
=> x = 20 $ a shirt
Go back to (2) to find y
3*20 +2y = 90 => 2y = 30 => y = 15$ a hat
Choose the correct answer below
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
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Percent decrease from 275 to 242
A company selling products online held a survey asking a group of people about the number of products they ordered online in a month. The table below shows the results of the survey.
Products Ordered
Number of Products Number of People
0 4
1 6
2 3
3 4
4 5
Number of Products Number of People
5 3
6 3
7 2
8 2
9 1
Which dot plot best displays the data in the table?
Answer:
wed need to see an attatchment of the dot displays to give you an answer friend
What are the solutions to logs (x²+8)= 1+logg(x)?
x=-2 and x=-4
x-1 and x=8
x= 1 and x = -8
O x=2 and x=4
Step-by-step explanation:
Log(x²+8)=log 10+ log x
Log(x²+8)=log(10×x)
x²+8=10x
x² - 10x + 8=0
x is approximately to - 1 and - 8✅
The solutions to the given equation are x = -1 and x = 8.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
Using logarithmic properties, we can simplify the given equation:
logs(x² + 8) = 1 + log g(x)
logs(x² + 8) - log g(x) = 1
log[(x² + 8)/g(x)] = 1
(x² + 8)/g(x) = 10
x² + 8 = 10g(x)
Now we can solve for x by substituting the given answer options and solving for g(x):
For x = -2 and x = -4:
x = -2:
(-2)² + 8 = 12, which is not equal to 10 g(x) for any value of g(x).
So x = -2 is not a solution.
x = -4:
(-4)² + 8 = 24, which is also not equal to 10g(x) for any value of g(x).
So x = -4 is not a solution.
For x = -1 and x = 8:
x = -1:
(-1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.
So x = -1 is a solution.
x = 8:
(8)² + 8 = 72, which is equal to 10g(x) when g(x) = 7.2.
So x = 8 is a solution.
For x = 1 and x = -8:
x = 1:
(1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.
So x = 1 is a solution.
x = -8:
(-8)² + 8 = 56, which is not equal to 10g(x) for any value of g(x).
So x = -8 is not a solution.
Therefore,
The solutions to the given equation are x = -1 and x = 8.
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There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
How many people didn't use any facilities
Answer: 97/125
Step-by-step explanation:
What is the x-coordinate of the point shown in the graph?
______
Answer:
Hey there!
The x coordinate would be -5.
Let me know if this helps :)
As we can see in the Graph,
x-coordinate = - 5y-coordinate = - 7
What is the equation of the line that goes through the points (1,1) and 3,-3)
Answer:
y = -2x + 3
Step-by-step explanation:
[]Let us write an equation in slope-intercept form.
-> See attached
-> Our equation will start out as y = x
[] The slope can be found by taking the change in y divided by the change in x
-> \(\frac{-3-1}{3-1}=\frac{-4}{2}=\frac{-2}{1}=-2\)
-> Now our equation is y = -2x
[] The y-intercept, or b, can be found by plugging a point given to us into the equation we have so far.
-> y = -2x + b
(1) = -2(1) + b
1 = -2 + b
3 = b
-> Now our equation is y = -2x + 3, which is our final answer.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
y = -2x +3
Step-by-step explanation:
coordinates given (1,1) and (3,-3)
How to find equation? first find slope.
slope formula:
(y2-y1)/(x2-x1)
using this formula:
(-3-1)/(3-1)
-4/2
-2 ........this is slope also refereed as (m) in short form.
Use the formula:
y - y1 = m( x - x1)
using the formula:
y - 1 = -2( x - 1)
y -1 = -2x + 2
y = -2x +3
INDUSTRY Two identical right cylindrical steel drums containing oil need to be covered with a fire-resistant sealant. In order to determine how much sealant to purchase, George must find the surface area of the two drums.
The surface area, including the top and bottom bases, is given by the
formula S = 2πrh + 2πr^2
Note that the Polynomial Expression for to represent the total surface area of the two drums is: 4πrh + 4hr².
What is a polynomial expression?A polynomial expression is any expression that consists of variables, constants, and exponents and is combined using mathematical operators such as addition, subtraction, multiplication, and division.
According to the number of terms in the expression, polynomial expressions are classed as monomials, binomials, or trinomials.
Given that the total surface area of one cylinder is:
2πrh + 2πr²,
The total surface area of two drums will therefore be:
(2πrh + 2πr²) * 2
⇒ 4πrh + 4hr²
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Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
Rewrite 14/32 in the simplest form.
Answer:
7/16
Step-by-step explanation:
Find the unit rate
1/4 km in 1/3 hour
Answer: 0.75km per hour or 3/4km per hour.
Step-by-step explanation: 1/4 / 1/3 = 3/4.
We need to find the unit rate, that is kilometer per hour
The unit rate is 3/4 km/hr
kilometer, km
Hour, hr
unit rate
\( = \frac{number \: of \: kilometer}{number \: of \: hours} \)
\( = \frac{1 \div 4}{1 \div 3} \)
\( = 1 \div 4 \times 3 \div 1\)
= 3/4 km/hr
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