Answer:
10 quarters, 9 dimes, and 20 nickels.
Step-by-step explanation:
q - 1 = d, 2q = n or q = 1/2n
.25q + .10(q - 1) + .05(2q) = 4.40
.25q + .10q - .10 + .10q = 4.40
.45q - .10 = 4.40
.45q = 4.50
4.5/.45 = 10
He has 10 quarters, 9 dimes, and 20 nickels.
Is 6.32332333... a rational or irrational number? a Choose the correct answer below. O rational number O irrational number
Answer:
Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0
Find an equation of the line having the given slope and containing the given point. Slope 7 through (6,3)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{3})~\hspace{10em} \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{7}(x-\stackrel{x_1}{6}) \\\\\\ y-3=7x-42\implies y = 7x-39[/tex]
Answer:
[tex]y-3=7(x-6)[/tex]
Step-by-step explanation:
Pre-SolvingWe are given that a line has a slope (m) of 7 and passes through the point (6,3).
We want to write the equation of this line.
There are three ways to do it:
Slope-intercept form, which is y=mx+b where m is the slope and b is the value of y at the y-intercept.Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point. Standard form, which is ax+by=c where a, b, and c are free integer coefficients.As the question doesn't specify, either form should work, but let's write the equation in point-slope form as that's the easiest to do.
SolvingAs we are already given both the point and the slope, we can plug them both into the equation.
Starting with the slope, substitute 7 for m.
[tex]y-y_1=7(x-x_1)[/tex]
Now, substitute 6 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex].
[tex]y-3=7(x-6)[/tex]
2m>30
what is the answer to this
Answer:
m>15
Step-by-step explanation:
Divide both sides by 2
Hello there! :-)
This is a one-step inequality, which means we can solve it in one step.
The goal is to find m.
To isolate m, we divide both sides by 2:
m>15
Remember to divide both sides by 2.
Therefore, m>15 (this means m is greater than 15)
Hope it helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who helps others :-)
Good luck with your studies. :)
100 POINTS
Please HELP I THINK ITS THE ANSWER I CLICKED THAT HAS A BLUE CIRCLE BUT I dont know
Answer:
Option D
Step-by-step explanation:
Twice b means b is multiplied by 2 or 2b3 less than twice b means it's subtracted or 2b-3.The expression is a=2b-3
⦁ Simplify: –3|–2| + 4|–5|
show work
Answer:
-3|-2|+4|-5|=14Step-by-step explanation:
3| -2 =6
4| -5| =20
= -6+20
Simplify -
14
Thank You! I hope I could make your day just a little bit better!
Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n
The relationship between the sides of the polygon and the triangle follows an arithmetic sequence
The expression that represents the number of triangles is (c) n - 2
From the diagrams, we have:
Sides Triangles
5 3
6 4
8 6
The above can be represented as functions as follows:
[tex]f(5) = 3[/tex]
[tex]f(6) = 4[/tex]
[tex]f(8) = 6[/tex]
Express 6 as 8 - 2
[tex]f(8) = 8 - 2[/tex]
Express 8 as n
[tex]f(n) = n - 2[/tex]
So, the expression that represents the number of triangles is (c) n - 2
Read more about sequence and patterns at:
https://brainly.com/question/24050043
A spherical solid, centered at the origin, has radius 4 and mass density(x,y,z)=6-(x^2+y^2+z^2). Set up the triple integral and find its mass.
I've attached a photo of the question.
There's something very off about this question.
In spherical coordinates,
x² + y² + z² = ρ²
so that
f(x, y, z) = 6 - (x² + y² + z²)
transforms to
g(ρ, θ, φ) = 6 - ρ²
When transforming to spherical coordinates, we also introduce the Jacobian determinant, so that
dV = dx dy dz = ρ² sin(φ) dρ dθ dφ
Since we integrate over a sphere with radius 4, the domain of integration is the set
E = {(ρ, θ, φ) : 0 ≤ ρ ≤ 4 and 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π}
so that the integral is
[tex]\displaystyle \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 - \rho^2) \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]
Computing the integral is simple enough.
[tex]\displaystyle = \int_{\phi=0}^{\phi=\pi} \int_{\theta=0}^{\theta=2\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]
[tex]\displaystyle = 2\pi \int_{\phi=0}^{\phi=\pi} \int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \sin(\phi) \, d\rho \, d\phi[/tex]
[tex]\displaystyle = 2\pi \left(\int_{\phi=0}^{\phi=\pi} \sin(\phi) \, d\phi\right) \left(\int_{\rho=0}^{\rho=4} (6 \rho^2 - \rho^4) \, d\rho\right)[/tex]
[tex]\displaystyle = 2\pi \cdot 2 \cdot \left(-\frac{384}5\right) = \boxed{-\frac{1536\pi}5}[/tex]
but the mass can't be negative...
Chances are good that this question was recycled without carefully changing all the parameters. Going through the same steps as above, the mass of a spherical body with radius R and mass density given by
[tex]\delta(x, y, z) = k - (x^2 + y^2 + z^2)[/tex]
for some positive number k is
[tex]\dfrac{4\pi r^3}{15} \left(5k - 3r^2\right)[/tex]
so in order for the mass to be positive, we must have
5k - 3r² ≥ 0 ⇒ k ≥ 3r²/5
In this case, k = 6 and r = 4, but 3•4²/5 = 9.6.
Put the numbers in ascending order:
-6, 19, 4, -22, 9
Answer:
-22, -6, 4, 9, 19
Step-by-step explanation:
hope this helps
Choose a way to solve.
Write or draw to explain.
2. Greg has Il shirts.
3 have long sleeves.
The rest have short sleeves.
How many short-sleeve
shirts does Greg have?
Help please! Thank you in advance!!
Answer:
8 short sleeve shirts
Step-by-step explanation:
Subtract the total amount of of shirts by the number of shirts with long sleeves to find your answer.
| 2n+2g = 5
3x + 3y = 7
How many solutions does the system of equations above have?
Answer:
The following equation has no / zero solution.
Step-by-step explanation:
The slope of both the equations is proportional which means that the lines are parallel to each other. Thus, the given equation has no solutions.
HELP ASAP
The temperature was -1°F at noon and dropped to -14°F by the evening.
What was the change in temperature?
13°F
-13°F
-15°F
15°F
Answer:
The change in temperature is -13°F.
Step-by-step explanation:
The change in temperature is,
→ -1 + x = -14
→ x = -14 + 1
→ [ x = -13 ]
Therefore, -13°F is the change.
factor x[tex]x^{2} -81[/tex]
Step-by-step explanation:
[tex]x^2-81=x^2-9^2=(x-9)(x+9)\\\\\text{Used}\\\\a^2-b^2=(a-b)(a+b)[/tex]
Use the drawing tools to form the correct answer on the graph.
What is the inverse of the function shown?
Click on a tool to begin drawing.
Delote
Undo
Reset
Drawing Tools
Select
iz
Point
10
Line Segment
8
6
4
2
x
6
-10
-8
-6
-4
-2
2
6
8
10
2
Answer:
i need to know this one fast i cant get past this mastery test
Step-by-step explanation:
The inverse of a function is the opposite of the function
From the graph, we have the following ordered pairs
(5,0), (8,3) and (2,-3)When the (x,y) coordinates are rewritten as (y,x), we have the following ordered pairs
(0,5), (3,8) and (-3,2)This means that the inverse of the function passes through the above points
See attachment for the graph of the inverse function
Read more about inverse function at:
https://brainly.com/question/9289171
Which of the following is a correct cosine ratio for the figure?
(refer to the picture below)
A) C = 13∕12
B) C = 5∕13
C) C = 5∕12
D) C = 12∕13
Answer:
D
Step-by-step explanation:
Cosine is adjacent / hypotenuse, so 12/13
Through what angle does the minute hand of a clock turn in 45 minutes?
Answer:
2700Step-by-step explanation:
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
so
45 * 6 =
2700
heyyy can have halppppp
Answer:
ang hirap naman plss answee
help me with this math problem please
Answer:
BC ≅ EF
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent
ABC ≅ DEF
The corresponding sides are BC and EF
Convert 56 grams to 2 ounces
Answer:
its 2 ounces. if you look it up it would tell you
1. What is the value of x that satisfies the equation? Must show all proper work/steps!
32^2x = 16^2x+8
Student's Work
Student's Answer
A. x = 4
B. x =- 4
C. x = 16
D. x = 1
Please explain all steps
[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]
Answer:
x = 16
Hope you could get an idea from here.
Doubt clarification - use comment section.
A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
the rectangle in terms of x?
Answer:
P = 4x + 10
Step-by-step explanation:
perimeter of a rectangle = 2( width + length )
P = 2 ( x - 2 + x + 7 )
P = 2 ( x + x + 7 - 2 )
P = 2 ( 2x + 5 )
P = 4x + 10
Help help math math math
Answer:
y = 3x + 4
x=? (m) , and 'm' is how steep the slope is , which is at 3 , located on the X-axis. The blank is 'b' which is where the point intercepts the Y-axis , which is at 4 , located on the Y-axis.
(i think this is right im not sure tho)
Answer:
3x+1
Step-by-step explanation:
3 is the slope. 3 times x is 3 because x is one. 3+1=4 4 is y
what is 2*6 i need help
Its 12 for answer
Step-by-step explanation:
2×6=12
Assume that all letters in the following equation represent positive numbers.
Answer:
None of the suggested answers
PLEASE HELLPPPPPP IDONTKNOWTHISSS
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
= 3x+y=-2
= Linear equations with two variables have multiple infinite solutions.
= Assuming x=0
then y=-2
= Assuming x=1
then y=-2-3
= y=-5
= Assuming x=2
then y=-2-6
= y=-8
Writing them as coordinate points -
(0,-2),(1,-5),(2,-8)...and so on.
__________________________.
= y=2x+3
Assuming x=0
then y=3
Assuming x=1
then y=2+3
= y=5
Assuming x=2
then y=4+3
= y=7
Writing them as coordinate points -
(0,3),(1,5),(2,7)...and so on.
Answer:
Point Form:
( − 1 , 1 )
Equation Form:
x = − 1 , y = 1
Step-by-step explanation: there you go
88888*88888 help me please
2, 1, 2, 4, 5, 4
What is the mean
[tex] \sf \: mean = \frac{Sum \: \: of \: \: Observation} {Total \: \: number \: \: of \: \: Observations} \\ \sf = \frac{2 + 1 + 2 + 4 + 5 + 4}{6} \\ = \sf \frac{18}{6} = 3[/tex]
Answer:
3
Hope you could get an idea from here.
Doubt clarification - use comment section.
A Biology test has 20 questions and is worth a total of 100 points. The test
consists of True/False questions worth 2 points each and multiple choice questions
worth 7 points each. How many of the test questions are multiple choice and how
many of the test questions are True/ False?.
# of true/false questions =
# of multiple choice questions
PLEASE HELP ME I WILL GIVE BRAINLY
Answer:
12 multiple choice and 8 True/False
Step-by-step explanation:
To do this we set up a system of equations. Let x represent the True/Fale questions and y represent the multiple-choice questions. Here is a system we can use:
x + y = 20
2x + 7y = 100
We can solve this by using elimination. To do this we multiply one equation by a number, and add them together. If we multiply the first equation by -2, the "x"s will, when added together, cancel out so we can solve for y.
-2(x + y = 20)
-2x - 2y = -40
Now add them together
5y = 60
Solve for y.
y = 12
This means there are 12 multiple choice questions. 20 - 12 is 8 True/False questions.
Hope this helps and have a great day! :D
Answer:
8 True/False and 12 Multiple Choice
Step-by-step explanation:
x+y=20 ...1
2x+7y=100 ...2
Now you can multiply 2 on 1
2x+2y=40
2x+7y=100
Subtract:
-5y=-60
Divide -5 on both sides:
y=12
Substitute y with 12
x+12=20
Subtract 12 on both sides:
x=8
So there are 8 True/False and 12 Multiple Choice
Hope this Helps!
Answer helped by: azailiaskoglund
At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
w [tex]\leq[/tex] 50
Step-by-step explanation:
A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she can ride in this taxi ? Happy Holiday ´ s...
Answer:13
Step-by-step explanation:
37-3.5=33.5
33.5/2.5=13.4
since it ask for the whole number, it will be 13
Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?
By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.
So we have a 5-digit number, let's say that it is:
abcde
Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).
We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).
Let's assume that the first digit at which we assign its value is this, e, the last one.
For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}
4 of these options are even numbers.
So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:
P = 4/9
Now the other four digits can be anything (even or odd), so we only care for the probability above.
If you want to learn more about probability, you can read:
https://brainly.com/question/23044118