Answer:
19 quarters and 13 nickles
Step-by-step explanation:
You have 32 coins in your pocket consisting of nickels and quarters with a total value of $5.40
How many nickels and quarters do you have?
Step 1: Setup Coin Value and Coin Total Equation:
Coin Value Equation → 0.05n + 0.25q = $5.40 where n = nickels and q = quarters
Coin Total Equation → n + q = 32
Step 2: Rearrange Coin Total Equation in terms of nickels (n)
n = 32 - q ← Revised Coin Total Equation
Step 3: Plug in our Revised Coin Total Equation for n into our Coin Value Equation:
0.05(32 - q) + 0.25q = $5.40
0.05(32) - 0.05(q) + 0.25q = $5.40
1.6 - 0.05q + 0.25q = $5.40
1.6 + (0.25 - 0.05)q = $5.40
1.6 + 0.2q = $5.40
Step 4: Subtract 1.6 from each side of the equation to isolate q
1.6 - 1.6 + 0.2q = $5.40 - 1.6
0.2q = 3.8
Step 5: Divide each side of the equation by 0.2 to isolate q
0.2q
0.2
=
3.8
0.2
q = 19
Step 6: Using our value for q, Solve for n using our Coin Total Equation:
n + 19 = 32
Subtracting 19 from both sides, we get n + 19 - 19 = 32 - 19
n = 13
Summarizing our word problem, we see that 19 quarters and 13 nickels adds up to $5.40
write the equation of the line which has the given slope "m" and which passes through the given point.........a.(2,10) and m=-4.............b.(4,-4) and m=3/2....c.(0,0) and m=3/5
Answer:
A\ B=-30
Step-by-step explanation:
Y=mx +b, Y=10,X=2 ,m=4
10=4*10+b
10=40+b
-40+10=b
b=-30
I GUESS...
Answer:
y=-4x+18
Step-by-step explanation:
y-y1=m(x-x1)
y-10=-4(x-2)
y=-4x+8+10
y=-4x+18
HELP ASAP I don't understand
Answer:
No
Step-by-step explanation:
These are the artists of each subject, not the general function of each genre.
Brainliest for
There is a rack of 7 billiards balls, numbered from 1 to 7. If one ball is selected at random, determine the odds against it being an odd-numbered ball.
The odds are 0:0
(Type whole numbers. Simplify your answer.)
Answer:
Step-by-step explanation:
seven options 1, 2, 3, 4, 5, 6, 7
three successes for it being even. 2, 4, 6
odds are 3:7 of against randomly drawing an odd numbered ball.
It costs a man 75 dollars to buy the things that he needs to make hot dogs. The city allows him to sell his hot dog somewhere near the city hall. However, the city hall charges him 1 dollar for each hot dog sold
Calculate how many hotdogs he will have to sell in order to make a profit if the price he charges for 1 hot dog is $1.50.
Extra Credit #4
What are the next two numbers in this pattern?
431
141311
1114111321
311431131211
Answer:
The next two numbers following:
431
141311
1114111321
311431131211
are:
132114132113111221
AND
11131221141113122113312211
Step-by-step explanation:
I shall explain the pattern below:
431 (just the digits 4, 3, and 1)
141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)
1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)
311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)
NEXT TWO NUMBERS:
one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)
that makes: 132114132113111221
one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)
that makes: 11131221141113122113312211
The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.
Out of 250 million cars on the road in US, about 3.5% are diesel. What percentage are not diesel?
Answer:
96.5%
Step-by-step explanation:
Answer:
241250000 cars aren't diesel (Basically 96.5%)
Step-by-step explanation:
250 million = 250000000
If we are talking about the percentage of cars that aren't diesel, we have two ways of solving this. (I'm gonna solve for not just percentage but for amount too)
1. Find out the percentage that isn't diesel by subtracting 3.5% from 100% and then multiplying the answer to get the result.
or
2. We find out what 3.5% of 250 million is and then subtract that from 250 million
Now to make this short, I will do the first one.
100-3.5 = 96.5
96.5% x 250,000,000 = 241250000
Which of the following is most likely the next step in the series?
A?
B?
C?
D?
Answer:
c
Step-by-step explanation:
each shape has one more side than the other
the last shape in the pattern so far has 5
the shape at letter c has 6
therefore it is c
which of the following is NOT a rational number, -n its like on top of it, -4/7, 3/5 or 2/3
Step-by-step explanation:
i am very sorry but I don't know the answer
Give an expression for f + g.
A. 12x3 + 16x2 - 6x -8
B. 4x2 + 3x + 2
C. 4x2 + 3x - 8
D. 12x3 + 16x2 - 6x
Answer:
A)62x-8
B)11x+2
C)11x-8
D)62x
Step-by-step explanation:
12×3=36
16×2=32
36+32-6=62x-8
Yuan wrote 17 letters to friends each month for x months in a row. Write an expression to show how many total letters Yuan wrote.
A = $2100, P = $1600, t = 8
r = %
Answer:
I want to say 900 many sorry if it's wrong
Help help help help help math math math
Answer:
∠4 = 135°
Step-by-step explanation:
∠4 = the sum of the two remote angles in the triangle. (remote angles are the angles not next to ∠4
∠4 = 80° + 55°
∠4 = 135°
Answer:
<4 = 135
Step-by-step explanation:
I took this test
Which statement is generally true about retirement?
A. Your income will increase, while your expense will stay the same.
B. Your income will decrease, while your expenses will increase.
C. Your income will increase, while your expenses will decrease.
D. Your income will decrease, while your expenses will stay the same.
The general statement that is true about retirement is B. your income will decrease, while your expenses will increase.
Retirement is the leaving of one's of occupation. This means you cease to be involved in active service in a job or occupation especially when one is considered old and of retirement age.
During retirement, retirement benefits and pension are usually made available to retirees. However, one's income will come to a decline which makes most people scared of retirement. Keeping up with the standard of living they are used to becomes difficult as income to sustain such may not be available.
Therefore, the general statement that is true about retirement is B. your income will decrease, while your expenses will increase.
Learn more about retirement on:
https://brainly.com/question/3063811
Answer:
It's B
Step-by-step explanation:
Just took it
How do I add Mixed numbers? Please explain step by step to get brainliest!
The best way to do this is to convert the mixed numbers into improper fractions. Improper fractions are when the numerator is greater than the denominator. An example of an improper fraction would be 5/4. Since 4/4 is one whole that means 5/4 as a mixed number would be 1 1/4. I'll use the expression 3 1/4 + 5 2/9 as an example.
3 1/4 is 3 wholes and 1/4 left over. We know that 4/4 is 1 whole so to find 3 holes we multiply the 1 by 3. 4 x 3 =12 so there are 12/4 in 3 holes. We then add the leftover 1/4 to get 13/4 as our first number.
For the second number, we have 5 2/9. This one is a bit harder. We know that 9/9 is in one whole, but how do we find how many are in 5 wholes? We can use multiplication. 1x 5=5. 5 x 9 =45. That means we have 45/9 in 5 holes. Add the leftover 2/9 to have 47/9 as our 2nd number.
Now that we have these two improper fractions, what do we do with them? The two numbers we are working with are 13/4 and 47/9. We need to find the common denominator. The common denominator is when both fractions have the same bottom number. If two fractions have different denominators we cannot add them.
To make the denominators the same, let's find a common multiple. A common multiple is a number that is a product of all chosen numbers. This is kind of confusing but another way to think of a common multiple is a number that is divisible by all chosen numbers. Take the two denominators and multiply them. 9x4=36. 36 is a common multiple of both 9 and 4 because both of them can go into 36 without being a decimal or a fraction.
To convert the fractions we multiply again. Whatever you do to one side you must always do to the other. In 13/4 we multiplied 4x9 to get 36. So now we multiply the numerator 13x9 to get 117. That means we have 117/36. We multiplied 9x4 to also get 36. So our numerator for our second number is 47x4=188 or 188/36.
Now we have 117/36 and 188/36. We add them together like normal and get 305/36. In some cases you'd need to simplify it, but for the example equation I used this is already the fraction's lowest form. I hope this helped! Comment if you need another example or have any questions! :)
Every week Jim runs 8 miles and bikes 12 miles. Write an ordered pair to represent how many miles Jim runs and bikes in 5 weeks. Use the drop-down menus to complete the sentence. Jim runs Choose... miles and bikes Choose... miles in 5 weeks. The ordered pair would be Choose... .
The ordered pair to represent how many miles Jim runs and bikes in 5 weeks is (3.33, 5)
Writing an ordered pair to represent how many miles Jim runs and bikes in 5 weeks.From the question, we have the following parameters that can be used in our computation:
Every week Jim runs 8 miles and bikes 12 miles.
This means that we have the ratio
Run : Bike = 8 miles : 12 miles
When he bikes for 5 weeks, we have
Run : 5 weeks = 8 miles : 12 miles
This gives
Run/5 weeks = 8/12
So, we have
Run = 5 weeks * 8/12
Evaluate the products
Run = 3.33 weeks
Hence, the number of weeks is 3.33 and the ordered pair is (3.33, 5)
Read more about ordered pairs at
https://brainly.com/question/31704761
#SPJ1
Do not round the answer
Answer:
75.36
Step-by-step explanation:
Using the formula C = 2πr, we can calculate circumference.
Since we are using 3.14 for π, we plug that and the radius in.
C = 2(3.14)(12).
When you multiply all that you get 75.36
PLS HELP!
For which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3
(square root) (-2x)^2
The value of x must be less than zero for the expression to make sense
The value of x must be less than zero for the expression to make sense
The value of x must be greater than zero for the expression to make sense
For each of the expressions to make sense, the values inside the square root must be greater than zero.
For the expression [tex]\sqrt{-2x^2}[/tex]
-2x^2 > 0
x^2 < 0/-2
x^2 < 0
x < 0
The value of x must be less than zero for the expression to make sense
For the expression [tex]\sqrt{(-2x)^3}[/tex]
(-2x)^3 > 0
-8x^3 > 0
x^3 < 0/-8
x^3 < 0
x < 0
The value of x must be less than zero for the expression to make sense
For the expression [tex]\sqrt{(-2x)^2}[/tex]
(-2x)^2 > 0
2x^2 > 0
x^2 > 0
x > 0
The value of x must be greater than zero for the expression to make sense
Learn more on inequality here: https://brainly.com/question/24372553
What is the constant term -6+x4-x2
Answer:
-6
Step-by-step explanation:
A constant term is a term that does not have a variable attached, x4 and x2 are both terms that include a variable, so -6 is the constant term.
Evaluate the expression when x = 8 and y = 1.
x2y
Answer:
1/8
Step-by-step explanation:
I took the test this is it
A mailing carton in the shape of a cube has a volume of 684 cubic inches. What is the length of one side of the carton to the nearest tenth of an inch?
Check the picture below.
plz help me to answer
22/3 sorry I accidentally deleted steps
In the diagram below of triangle K L M KLM, N N is the midpoint of K M ‾ KM and O O is the midpoint of L M ‾ LM . If m ∠ M L K = 3 x + 75 ∠MLK=3x+75, and m ∠ M O N = 93 − 3 x ∠MON=93−3x, what is the measure of ∠ M L K ∠MLK?
Applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°
Recall:
Corresponding angles are congruent, that is, their angle measures are equal based on the corresponding angles theorem.
The diagram given, showing triangle KLM is in the image attached below.
m∠MLK and m∠MON are corresponding angles, therefore:
m∠MLK =m∠MON
Substitute3 x + 75 = 93 − 3 x
Solve for x3x + 3x = 93 - 75
6x = 18
x = 3
m∠MLK = 3 x + 75
Plug in the value of xm∠MLK = 3(3) + 75
m∠MLK = 84°
Therefore, applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°
Learn more about the Corresponding Angles Theorem on:
https://brainly.com/question/5221905
A certain music club charges an annual membership fee of $99, in return, its members will be able to buy and download songs at a very low cost of 10 cents each. If Tyna spent a total of $149.30 including the membership fee, how many songs did she buy?
A) 99+10x=149.30
B) 99-10x=149.30
C) 99-0.1x=149.30
D) 0.1x+99=149.30
Answer:
D). 0.1x+99=149.30
How many songs Tyna Bought:
503 songs
Step-by-step explanation:
Since the membership fee is 99 you don't have to pay for it again
(Until next year that is)
Now it states that every download cost 10 cents or $0.1
So we don't know how many she will buy so we can replace that unknown value with x
So the equation is
0.1x+99=149.30
To solve this you first subtract 99 on both sides:
Which will result in
0.1x=50.3
Divide 0.1 on both sides
So Tyna bought 503 songs
(HOLY THAT IS A LOT OF SONGS)
Hope this Helps!
3] If the p.d.f., of the random variable X is given by
f(x)= K/sqrt x &0 otherwise
(c) P(|X| < 3)
(d) E(2X - 2)
(e) V(3X)
Answer:
PDF for a continuous random variable is given. Use the PDF to find (a) and the CDF.
I hate to ask for help but I know that’s what you guys are here for. I’ve been stuck on this sample work for over 2 weeks simply cause I don’t understand it. Can any of you tell me the answers or help with it?
Answer:
Step-by-step explanation:
I am not sure what the first question is asking but yes y does very direction with x.
Lemme know if i can help with anything else
:)
hey guys I could really use some help on this.
Answer:
y = - [tex]\frac{10}{3}[/tex] x - 23
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 9, 7 ) and (x₂, y₂ ) = (- 6, - 3 )
m = [tex]\frac{-3-7}{-6-(-9)}[/tex] = [tex]\frac{-10}{-6+9}[/tex] = [tex]\frac{-10}{3}[/tex] = - [tex]\frac{10}{3}[/tex] , then
y = - [tex]\frac{10}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 3 ) , then
- 3 = 20 + c ⇒ c = - 3 - 20 = - 23
y = - [tex]\frac{10}{3}[/tex] x - 23 ← equation of line
Answer:
y= -10x/3 + 1
Step-by-step explanation:
gradient of a line= (Y2-Y1)/(X2-X1)
= (-3-7)/[-6-(-9)]
=-10/3
equation of a line
(Y-Y1)/(X-X1)= gradient
(Y-7)/(X+9)= -10/3
3(Y-7)= -1d0(X+9)
3y-21= -10x -19
3y= -10x + 3
dividing both sides by 3
y= -10x/3 + 1
4. The population of a town is modeled by the equation P = 3485e
0.125
, where "P"
represents the population as of the year 2000.
• According to the model, what will the population of the town be in 2010?
In approximately what year will the population reach 50,000 people?
Must answer and show appropriate work for both questions here.
Student's Work
Student's Answer
A. Part A: 11,571 people in 2010
Part B: approx. 22 years
B. Part A: 38,416 people in 2010
Part B: approx. 13 years
C. Part A: 11,571 people in 2010;
The population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000
The population model is given as:
[tex]P(x) = 3485e^{0.125x}[/tex]
(a) The population in 2010
In 2010, the value of x is 10.
So, we have:
[tex]P(10) = 3485 * e^{(0.125 \times 10)}[/tex]
Evaluate the exponent
[tex]P(10) = 3485 * e^{(1.25)}[/tex]
This gives
[tex]P(10) = 121634[/tex]
(b) Year to reach 50000
This means that P = 50000.
So, we have:
[tex]50000 = 3485e^{0.125x}[/tex]
Divide both sides of the equation by 3485
[tex]14.35 = e^{0.125x}[/tex]
Take natural logarithm of both sides
[tex]\ln(14.35) =0.125x[/tex]
[tex]2.66 =0.125x[/tex]
Divide both sides by 0.125
[tex]21.28 = x[/tex]
Rewrite as:
[tex]x =21.28[/tex]
Approximate
[tex]x =21[/tex]
Hence, the population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000
Read more about population models at:
https://brainly.com/question/25630111
Which fractions are equivalent to the fraction below? Check all that apply.
3/4 ??
Answer:
hi there !
The answer is "30/40"
because by dividing each nominator and denominator by "10" it gives 3/4
Can someone do it and explain please? I don’t get it
One leg of a 45°-45°-90° triangle is 9. Find the lengths of the other sides.
Answer:
9, 9√2
Step-by-step explanation:
The ratios of side lengths in a 45°-45°-90° triangle are ...
1 : 1 : √2
The other leg is the same as the first, and the hypotenuse is √2 times that.
The other sides are 9 and 9√2.