Answer:
4
Step-by-step explanation:
Answer:
x=-5/3
x=-34/9
rohit has two pieces of ribbon pices one 20cm long and other 65 cm long .he wants to cut them into smaller pices of equal length for craft project in such a way thaty no ribbon is left.
Nicole has x dimes and y nickels. She has at least 15 coins worth a maximum of $1
combined. Solve this system of inequalities graphically and determine one possible
solution.
Answer:
Step-by-step explanation:
[tex]X + Y \geq 15\\\\10X + 5Y \leq 100[/tex]
we want to put it into terms of Y
[tex]y \geq 15 - x\\and\\5y \leq 100 - 10x\\y \leq 20 - 2x[/tex]
the graph is in the attached image. Any point in the shaded overlap region where x is greater than or equal to 0 (assuming you cannot have negative coins) works, e.g. (2, 14)
The solution of the inequalities is required.
One of the solutions is [tex](5,10)[/tex]
Number of dimes is [tex]x[/tex]
Number of nickels is [tex]y[/tex]
Minimum number of coins is 15.
So, [tex]x+y\geq 15[/tex]
Maximum total value of the coins is $1
So, [tex]0.1x+0.05\leq 1[/tex]
The equations are
[tex]x+y=15[/tex]
[tex]0.1x+0.05y=1[/tex]
Points of the first equation
[tex](0,15)[/tex] and [tex](15,0)[/tex]
Graph the points and draw a line through them.
Points of the second equation
[tex]x=0[/tex]
[tex]y=\dfrac{1}{0.05}=20[/tex]
[tex]y=0[/tex]
[tex]x=\dfrac{1}{0.1}=10[/tex]
[tex](0,20)[/tex] and [tex](10,0)[/tex]
Graph the points and draw a line through them.
The shaded regions can be determined by substituting the point in the equations.
One of the solutions is [tex](5,10)[/tex]
This means there are 5 dimes and 10 nickels.
[tex]5+10=15\geq 15[/tex]
[tex]0.1\times 5+0.05\times 10=1\leq 1[/tex]
Hence, one of the solutions is [tex](5,10)[/tex].
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A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?
The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.
To find the expected number of visits to 0 before reaching 4, analyze two cases:
success (reaching 4 before 0) and failure (reaching 0 before 4).By the given data, the probabilities of two cases are:
P(success) p = 1/4,
P(failure)=3/4.
The expected count of failures, X, can be found in terms of success probability p as
[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]
On substituting p = 1/4 gives:
[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]
On taking (1/4) gives
[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]
Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]
This forms a geometric series tends to infinity and the sum is given by :
[tex]S_\infty = a/(1-r)[/tex]
Here: a= 3/4
r = 3/4
Plugging these values into formula gives:
[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]
[tex]S_\infty= 3/4/(1-3/4)[/tex]
On subtracting the denominator gives:
= 3/4/(1/4)
On taking reciprocal gives:
= 3/4 * 4
On simplifying gives:
= 3
Substituting these value into given equation 1 gives:
E(X) = 1/4*[3]
On multiplying gives:
E(X) = 3/4.
Therefore, the expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
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Marking brainlesssss!!
Answer:
I think the answer is C. 6.75
Answer:
6.75
Step-by-step explanation:
U will see and plz help worth 34 points
Answer: 80
Step-by-step explanation:
First you split the shape into simple parts, and think about the measurements when you do so. Although you can't see my work, the way I split it is a rectangle that measures 8 by 4, and a rectangle that measures 8 by 6. You find the answer to these separately (32 and 48) and add them together (80).
i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??
Answer:
i believe its the rise and the run of the slope.
Step-by-step explanation:
i believe its something similar to this photo
What is the y-intercept of y = 4x?
Answer:
It depends on what x is
Step-by-step explanation:
I cant help
Answer:
0
Step-by-step explanation:
well if its just 4, then that means it doesnt have a y value
What is the difference between a histogram and a bar graph?
a A histogram presents information in horizontal bars, while a bar graph presents information in
vertical bars
b. A histogram deals with data which displays a normal distribution, while a bar graph deals with
data in any distribution
c. There is no difference. The two terms are synonymous.
d. A histogram deals with continuous data in ordered columns, while a bar graph deals with
discrete data in separate columns
Answer:
d.
A histogram deals with continuous data in ordered columns, while a bar graph deals with discrete data in separate columns.
Step-by-step explanation:
what is 3x^2+4-6x^2-18x+15=
6. Examine the prism shown below.
which of the following statements is true?
a) Points G,F,D and H are Coplanar.
b) Segments BF and BC intersect at point B
c) Point A,B, and C are collinear
d) Planes ABC and BCG intersect at point C
Find the percent of decrease from 27 to 18.
PLEASE HELP
-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%
Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old| 100%Percent change = 18 - 27|27| x 100 = -927 x 100 = -33.33333333333333decrease)
Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.
The Answer is: -33.33333333333333% or 33.3ANAWER ASAP NEED HELP ASAP!!!!!!
Answer:
1/3
Step-by-step explanation:
A pound of chocolate cost six dollars . Donna buys P pound. Write an equation to represent the total cost c that Donna pays 
Answer:
c = 6P
Step-by-step explanation:
equation format: c = mP
c = the total cost Donna pays
m = the cost per pound of chocolate(6)
P = the amount of pounds Donna buys
Since we know the cost per pound is $6, we can input it into the equation format:
c = 6P
Now we have an equation that represents the total cost (c) that Donna pays for P pounds.
Let C = total cost that Donna pays.
Donna buys P pound at $6 per pound tells me to multiply.
C = 6P.
Understand?
Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75
Answer:
D
Step-by-step explanation:
let the number of songs Byron have be s songs.
s + 26 = 75
Answer:
D
Step-by-step explanation:
s= number of songs played.
s+26=75
s-26=75-26
s=49
Write the linear equation in Slope-Intercept Form y = mx + b of the line that passes through the given points, then graph
the line.
Answer:
y = 3x + 7.
To graph the line mark off the 2 points and draw a line through them.
Step-by-step explanation:
The slope = (-2-7) / (-3-0)
= -9/-3
= 3.
The value of b is found using the point-slope form of a line:
y - y1 = m(x - x1)
using m = 3, (x1, y1) = (0, 7):
y - 7 = 3(x - 0)
y = 3x + 7.
A person has $28,000 invested in stock A and stock B. Stock A currently sells for $50 a share and stock B sells for $60 a share. If stock B triples in value and stock A goes up 50%, his stock will be worth $69,000. How many shares of each stock does he own?
Answer:
Number of stock A = 200
Number of stock B = 300
Step-by-step explanation:
Let :
Number of stock A shares = a
Number of stock B shares = b
Worth of stock A = 50 * a = 50a
Worth of stock B = 60 * b = 60b
50a + 60b = 28000 - - - (1)
Triple the value of stock B:
3 * 60 = 180
Value of stock A goes up by 50%
(100 + 50)% * 50 = 1.5 * 50 = 75
75a + 180b = 69000 - - - (2)
50a + 60b = 28000
75a + 180b = 69000
Multiply equation 1 by 3 and subtract
150a + 180b = 84000
75a + 180b = 69000
75a = 15000
a = 15000/75
a = 200
75(200) + 180b = 69000
15000 + 180b = 69000
180b = 69000 - 15000
180b = 54000
b = 300
In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.
Answer:55.6
Step-by-step explanation:
Answer:
55.6
Step-by-step explanation:
Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
Answer:
3 hours (or 180 minutes)
Step-by-step explanation:3/4 of an hour = 45 minutes
45 minutes × 3 = 135 minutes or 2 hours and 25 minutes
2 hours and 25 minutes + 45 minutes = 3 hours (180 minutes)
Solve 3/5k-5=7/10k by eliminating the fraction. Explain how you determine what to multiply each term by and all the steps to solving the equation.
9514 1404 393
Answer:
k = -50
Step-by-step explanation:
The fraction denominators are 5 and 10. The least common multiple of those values is 10. This means we can eliminate fractions by multiplying both sides of the equation by 10:
6k -50 = 7k
Subtracting 6k from both sides of the equation leaves you with the solution:
-50 = k
-5+22=r-4+3r+5
I need help please and thank u
Answer:
r = 4
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-5 + 22 = r - 4 + 3r + 5
Step 2: Solve for r
Combine like terms: 17 = 4r + 1Subtract 1 on both sides: 16 = 4rDivide 4 on both sides: 4 = rRewrite: r = 4Step 3: Check
Plug in r to verify it's a solution.
Substitute: -5 + 22 = 4 - 4 + 3(4) + 5Add/Subtract: 17 = 3(4) + 5Multiply: 17 = 12 + 5Add: 17 = 17A 150-foot fence encloses a garden.What is the length of each side of the garden.
Answer:
15 ft 45 ft 30 ft 60 ft
Step-by-step explanation:
What expression represents the decimal 72.603
Answer: 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
Step-by-step explanation: just had this question on the test
solve for the variable
x-2= -5
7+x=11
-12+x=1
On a map, 1 inch represents 100 feet. How many inches would
represent 350 feet? (Hint: answer will be a decimal) *
Answer:
3.5
Step-by-step explanation:
3.5 inches would represent 350 feet.
Inches and feetRelationship between inches and feet is that one inch is equal to [tex]\boldsymbol{100}[/tex] feets as per the map.
So,[tex]350[/tex] feet represent [tex]\frac{350}{100}=3.5[/tex] inches.
Therefore, [tex]\boldsymbol{3.5}[/tex] inches would represent [tex]350[/tex] feet in decimal.
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what5 is 12.4 x -1.35
Answer: -16.74
Step-by-step explanation:
Answer:-16.74
Step-by-step explanation:
Simplify 45 / 3 + 2 * 8 - 12 + 42
Answer:
61
Step-by-step explanation:
Two rectangular boxes have the same volume. One box is a cube, and the other box has dimensions 8 ft by 4 ft by 16 ft. How many feet long is an edge of the cube?
Answer:
8 feet
Step-by-step explanation:
All you have to do is find the area of one box and find the root to find the cube edge, as it says they have the same volume.
Lets find the volume of the rectangular box.
8 x 4 x 16 =
32 x 16 =
512.
The volume of the cube is 512 feet cubed, but you are looking for the edge.
The edge cubed should be equal to 512 feet cubed.
So 512 cube root is 8, because 8 x 8 x 8 is 512.
8 feet.
Hope this helps!
Answer:
The answer to your question is 2744 ft³
Step-by-step explanation:
Data
length = 14 ft
width = 14 ft
height = 14 ft
- Volume of a Cube
Volume = length x width x height
-Substitution
Volume = 14 x 14 x 14
-Simplification
Volume = 2744 ft³
Conclusion
The volume of this cube is 2744 ft³
2.(X+3) > 5. (3x + 1)
Answer:
3x+1 > 7
Step-by-step explanation:
x+3 > 5
x > 5-3
x > 2
3(x)+1
= 3(>2)+1
= 3x+1 > 7
Hope this helped!
determine the linear factors 18x^3-34x^2+16x
Answer:
good luck tho oh and dont forget to tell me the answer
Step-by-step explanation:
Answer:
2x(9x - 8)(x - 1)
Step-by-step explanation:
List some of the valid reasons that can be used in a proof:
Answer:
Experiment results, and more results!
They help a LOT!
Step-by-step explanation: