Answer:
still need the answer g?
finding the solutions of inequality
-7x+14>-3x-6
Answer:
[tex]x<5[/tex]
Step-by-step explanation:
we have
[tex]-7x+14>-3x-6[/tex]
Solve for x
Group terms that contain the same variable
[tex]-7x+3x>-6-14[/tex]
[tex]-4x>-20[/tex]
Divide by -4 both sides
Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
[tex]x<5[/tex]
The solution is the interval (-∞,5)
All real numbers less than 5
In a number line the solution is the shaded area at left of x=5 (open circle)
The value of x=5 is not included in the solution
A) 70
B) 110
C) 90
D) 180
At the flea market path and four buckets of Legos with each bucket containing 1,398 Lego pieces. if you wanted to with the Lego pieces into three piles ,how many pieces should he put into each pound?
Answer:
1,864
Step-by-step explanation:4 X 1398 would be 5592 then you divide it by 3 and get 1,864
5x + 7y + 12 how many terms are there
Answer:3
Step-by-step explanation:
5,7,12
2) It cost $5 to send 6 packages through a certain shipping co
ges through a certain shipping company. Consider the number of packages per dollar.
1.
ii.
Find the constant of proportionality for this situation.
Write an equation to represent the relationship.
Final answer:
The constant of proportionality is $0.833 per package, and the equation representing the cost C of sending p packages is C = 0.833p.
Explanation:
To find the constant of proportionality for the given shipping situation, we divide the total cost by the number of packages shipped. In this case, it costs $5 to send 6 packages, which gives us a constant of proportionality of $5 / 6 packages. This can be simplified to approximately $0.833 per package.
The equation to represent this relationship would be C = 0.833p, where C represents the total cost in dollars and p represents the number of packages. This shows that for each package sent, the cost will increase by approximately $0.833.
solve this equation
y= 2x
x= -y + 6
The solution is x = 2 and y = 4
Solution:
Given system of equations are:
y = 2x -------- eqn 1
x = -y + 6 ----------- eqn 2
We can solve the system of equations by substitution method
Substitute eqn 1 in eqn 2
x = -2x + 6
Move the variables to one side and constants to other side
x + 2x = 6
3x = 6
Divide both sides of equation by 3
x = 2
Substitute x = 2 in eqn 1
y = 2(2)
y = 4
Thus the solution is x = 2 and y = 4
There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.
Question
P c
4 14
5 17
6 20
7 23
There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.
A) c = 3p + 3
B) c = 2 − 3p
C) c = 3p − 2
D) c = 3p + 2
Answer:
c = 3p + 2 is the equation that shows relation between number of caterpillars and plants
Solution:
Given that,
There are 3 caterpillars on each plant
And there are 2 caterpillars on the ground
Let the number of plants be "p"
Let the number of caterpillars be "c"
The equation that shows relation between number of caterpillars and plants is:
If there are 3 caterpillars on each plant, then for "p" plants, there will be "3p" caterpillars
Number of caterpillars = 3p + 2 caterpillars on the ground
Therefore,
Number of caterpillars = 3p + 2
c = 3p + 2
Thus the equation is found
Analyze the following pattern: 1, 2, 5, 10, 17,...
Step-by-step explanation: Begin by studying the pattern.
Notice that the 1 + 1 is 2, 2 + 3 is 5, 5 + 5 is 10, and 10 + 7 is 17.
So thus far, we're adding 1, 3, 5, and 7. Notice that each of these numbers have a difference of 2 so we would add 9 to get to next number and so on.
six out of every thirteen trick-or-treaters that came to your house last Halloween were dressed as knights, what proportion of trick-or-treaters were not dressed as knights?
To find the proportion of trick-or-treaters not dressed as knights, subtract the proportion dressed as knights from 1. Therefore, the proportion of trick-or-treaters not dressed as knights is 7/13.
Explanation:To find the proportion of trick-or-treaters that were not dressed as knights, we need to subtract the proportion of trick-or-treaters who were dressed as knights from 1. If 6 out of every 13 trick-or-treaters were dressed as knights, then the proportion of trick-or-treaters not dressed as knights is 1 - (6/13) = 7/13.
In the realm of probability and proportions, calculating the proportion of trick-or-treaters not adorned in knightly attire involves a straightforward yet insightful approach. We initiate this quest by recognizing that the sum of all probabilities within a given context equals 1, which encapsulates all possible outcomes. Since we know that 6 out of every 13 trick-or-treaters don the guise of knights, we can deduce that the proportion of those not dressed as knights is the remainder of this whole, represented as 1 - (6/13). Simplifying this expression reveals that 7 out of every 13 trick-or-treaters fall into the category of not being attired as knights.
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Round 47,754,099 to the nearest thousand.
Answer:
47,754,000
Step-by-step explanation:
4 is located at thousand (place)
Answer:
b
Step-by-step explanation:
please solve
3(y+2)=14
I can't find the answer
Answer:
y = 8/3
Step-by-step explanation:
3(y + 2) = 14
3y + 6 = 14
3y = 14 - 6
3y = 8
y = 8/3
Answer:
Step-by-step explanation:
3(y + 2) = 14
3y + 6 = 14
3y = 14 - 6
3y = 8
y = 8/3 or 2 2/3
Which of the following is a solution of x + -3.4>17/68?
A. 3.4.
B. 0
C. 21/68.
D. 4.25
====================================
Work Shown:
x - 3.4 > 17/68
x - 3.4 > 0.25
x - 3.4 + 3.4 > 0.25 + 3.4 .... add 3.4 to both sides
x > 3.65
Any number larger than 3.65 will work in place of x
Choice A does not work since 3.4 is not larger than 3.65
Choice B and choice C is the same story as well since 21/68 = 0.3088 approximately
Only choice D is larger than 3.65
solve using sublimation
y=8x+13
-4x-5y=23
Answer:
x=-2, y=-3. (-2, -3).
Step-by-step explanation:
y=8x+13
-4x-5y=23
----------------
-4x-5(8x+13)=23
-4x-40x-65=23
-44x-65=23
-44x=23+65
-44x=88
x=88/-44
x=-2
y=8(-2)+13=-16+13=-3
find the unknown resistance in the figure shown, to the nearest hundredth of an ohm, if the total (equivalent) resistance is 0.28
Please help asap!
The unknown resistance is approximately 0.44 Ω.
Solution:
Total (equivalent) resistance = 0.28 Ω
Resistance 1 = ?
Resistance 2 = 0.81 Ω
To find the unknown resistance.
Formula for determining equivalent resistance in a parallel circuit:
[tex]$\frac{1}{R_{e q}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}[/tex]
Substitute the given values in the formula.
[tex]$\frac{1}{0.28}=\frac{1}{R_{1}}+\frac{1}{0.81}[/tex]
[tex]$3.571=\frac{1}{R_{1}}+1.235[/tex]
Subtract 1.235 on both sides of the equation, we get
[tex]$2.282=\frac{1}{R_{1}}[/tex]
Take reciprocal to find [tex]R_1[/tex].
[tex]$R_{1}=\frac{1}{2.282}[/tex]
[tex]$R_{1}=0.44[/tex]
[tex]R_1[/tex] = 0.44 Ω
The unknown resistance is approximately 0.44 Ω.
Katrina ran 6 laps around a circular track that had a radius of 20 m. How far did she run?
Step-by-step explanation:
Total Distance run by Katrina
[tex]=6 \times circumference \: of \: circular \: track \\ \\ = 6 \times 2 \pi \: r \\ = 6 \times 2 \times 3.14 \times 20 \\ = 240 \times 3.14 \\ = 753.6 \: m \\ [/tex]
please hurry!
(include graph for both)
Graph h(x)=2sin(2x)−3 . Use 3.14 for π .
Graph g(x)=4cos(2x)−2 . Use 3.14 for π .
See the graphs
Explanation:First Case:
Here we have the following function:
[tex]h(x)=2sin(2x)-3[/tex]
In order to graph this function, first let's take:
[tex]f(x)=sin(x)[/tex]
Step 1. Compress horizontally this function by 1/2, so it becomes:
[tex]f_{1}(x)=sin(2x)[/tex]
Step 2. Stretch vertically this function, so it becomes:
[tex]f_{2}(x)=2sin(2x)[/tex]
Step 3. Shift the graph of the function three units down.
[tex]f_{2}(x)=2sin(2x)-3[/tex]
Second Case:
Applying a similar method, we get:
Step 1. Compress horizontally this function by 1/2, so it becomes:
Step 2. Stretch vertically this function, so it becomes:
Step 3. Shift the graph of the function tow units down.
Finally, the graphs are shown below.
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*30 points* Consider the figure shown on the coordinate plane. What are the coordinates of the midpoint of line segment AC?
A) -2, -1
B) 4, 0
C) -1, 1
D) -1, -1
Midpoint of AC = (–1, –1)
Solution:
In the given graph we can find the coordinates of A and C.
Coordinates of A = (–4, 2)
Coordinates of C = (2, –4)
Here, [tex]x_1=-4,x_2=2,y_1=2,y_2=-4[/tex]
Let us find the midpoint of the segment AC.
Midpoint formula:
[tex]$\text{Midpoint} =\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
[tex]$=\left(\frac{-4+2}{2}, \frac{2-4}{2}\right)[/tex]
[tex]$=\left(\frac{-2}{2}, \frac{-2}{2}\right)[/tex]
[tex]$=(-1, -1)[/tex]
Midpoint of AC = (–1, –1)
Option D is the correct answer.
Hence the coordinates of the midpoint of the line segment AC is (–1, –1).
The longest side of the triangle section is 4 feet shorter than twice the shortest side. The third side is 3 feet longer than the shortest side. The perimeter is 59 feet . How long is each side
===========================================
Define the three sides to be a,b,c such that a < b < c
So c is the longest side, and 'a' is the shortest with b in the middle.
"longest side is 4 ft shorter than twice the shortest side" means that c = 2a-4
"third side is 3 ft longer than the shortest side" so b = a+3
Both b and c are in terms of 'a', allowing us to do substitutions like so
a+b+c = perimeter
a+b+c = 59
a+(a+3)+c = 59 .... first substitution, plug in b = a+3
a+(a+3)+(2a-4) = 59 ... second substitution, plug in c = 2a-4
4a-1 = 59 .... combine like terms
4a = 59+1 ... add 1 to both sides
4a = 60
a = 60/4 ... divide both sides by 4
a = 15
The shortest side is 15 ft
b = a+3 = 15+3 = 18
The middle side is 18 ft
c = 2a-4 = 2*15-4 = 26
The longest side is 26 ft
---------------------
Check:
The three sides should add up to a perimeter of 59 ft
a+b+c = 15+18+26 = 59
so the answer is confirmed
Answer:
[tex]Leg_1 = 15\\Leg_2 = 26\\Leg_3 = 18[/tex]
Step-by-step explanation:
Form an equation.
[tex](x)+(2x-4)+(x+3)=59[/tex]
Combine like terms.
[tex]4x-1=59[/tex]
Add 1 to both sides, then divide both sides by 4.
[tex]4x=60\\\\\frac{4x}{4}=\frac{60}{4}\\\\x = 15[/tex]
Plugin in 15 for x
[tex]Leg_1 = 15\\Leg_2 = 2(15)-4=26\\Leg_3 = 15 + 3=18[/tex]
If I did 57 jumping jacks in 1 minute how long would it take to do 100 jumping jacks
Answer:
2 minuets
Step-by-step explanation:
Set up a ratio:
57 jumping jacks / 1 minute = 100 jumping jacks / x minutes
Cross multiply:
57x = 100
Divide both sides by 57:
X = 100/57
X = 1.754 minutes = 1 minute 45 seconds
What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6
The equation of the line of reflection should be [tex]y=x[/tex].
Given information:
Triangle ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle A' B'C' has points (3.7, 6), (2, 5.4), (3, 1).
A'B'C' is the reflection of the triangle ABC.
It is required to find the equation of the line of reflection.
Now, from the given coordinates of triangle ABC and its reflection, it is clear that the x and y-coordinates have interchanged their values. For example, coordinate (6,3.7) has become (3.7,6).
Therefore, the equation of the line of reflection should be [tex]y=x[/tex].
For more details, refer to the link:
https://brainly.com/question/18376051
Answer:
Y=X
Step-by-step explanation:
What is the slope of the line that passes through (-3, 6) and (6, 8)? Type a numerical answer in the space provided. If necessary, use the / key for a fraction bar. Do not include spaces in your answer.
a0
2/9
Step-by-step explanation:
Slope in calculated as the ratio of change in y values divided by the change in x values
slope, m=Δy/Δx
Δy=8-6=2
Δx=6--3=9
m=2/9
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a sphere with a radius of 15cm has the same volume as a cylinder with a radius of 5 cm.what is the height od the cylinder
Answer:
180cm
Step-by-step explanation:
Vol of sphere = (4/3) pi r^3 and vol of cylinder = pi r^2 h
so
(4/3) pi 15^3 = pi (5)^2 h
(4/3) * 15^3 = 25h
h = [(4/3) * 15^3 ] / 25 = 180 cm
Step-by-step explanation:
according to the question,
vol.of sphere = vol of cylinder
4/3πR³=πr²h
refer to the attached file.
thanks for the question!!
Geno had a gift card for $40. He bought a DVD for $19.50. He spent the remaining amount on two video games. To find the cost of each video game, he used the following steps. Geno now wants to write an equation to solve the problem. He let g = cost of a video game. Which equation can be used to find the cost of each video game? A. 2g = 19.5 B. 2g + 40 = 19.5 C. 2g –19.5 = 40 D. 19.5 + 2g = 40
Answer:
The answer is D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
what is 44/12 as a simplified mixed fraction
3 67/100
3 will stay a whole number so you put that as the whole number. 67 is 67 percent of a whole. so you put it over 100.
hurry : Write an equation for the line graphed.
Answer:
y = (2/3)x -3
Step-by-step explanation:
find the slope using ( y1 - y2 ) / ( x1 - x2)
slope: 2/3
y-intercept: -3
use y = mx + b
Which value is the solution for this equation?
2(a + 3) = −4
A) −5
B) −2
C) 3
D) 4
Answer: a=-5
Step-by-step explanation:
2(a + 3) = −4
2a+6=-4
2a=-10
a=-5
Answer:
Your answer is a= -5. So A would be your answer.
Lesson Review
Directions: Simplify these problems by combining like terms.
1. 9s + 2s - 3s - 6
2. 12t - 4t - 6 + 5t
3. 18r + 13r + 4r - 3r =
4. 21 - 4q + 42r - 16 =
5. 19st - 6s + t =
6. 107 + 107x - x =
7. 15a2 - 12a + a2 - 3a
8. 13t + 14t + t =
9. r + s + rs +2s + rs + s=
10. 5pt - 3p + 4t - 2pt =
11. 13x2 + 3x2 - x =
12. 103c - 5c + 9c =
13. 11q - 4 + 10q - 5q + 9 =
14. 2k - 28k + 3k =
15. 183x + 91x - 23x =
Answer:
1. 8s-6
2. 13t-6
3. 32r
4. 5-4q+42r
5.no like terms
6. 107-106x
7. 16a2−15a
8. 28t
9. 4s+r+2rs
10. 7pt-3p+4t
11. 26x2−x
12. 107c
13. 16q+9
14. -23k
15. 151x
Step-by-step explanation:
ASAP Please help me
Answer:
1. a) $ 25
b) $65
2) a) 246,000 followers
b) In 20 years
3a) $65
b) $85.25
Step-by-step explanation:
1. A linear equation is modeled by [tex]y=mx+b[/tex]
where b is the one time fee you pay and m=$8 is how much you pay per hour.
y is the total cost and x is the number of hours.
Hence the equation becomes: [tex]y=8x+b[/tex]
Since Jill rented for 3 hours and paid $49, x=3 and y=49.
We substitute and solve for the one-time fee, b.
This implies that:
[tex]49=8(3)+b[/tex]
49=24+b
b=49-24=25.
a) The fee is $25
b) We now write the equation in full to get: [tex]y=8x+25[/tex]
To find the cost for 5 hours we put x=5 into this equation and solve for y.
[tex]y=8(5)+25[/tex]
y=40+25=$65
2a) We still use the equation y=mx+b.
b is the number of followers he started with.
This time m=-12,000 because he is losing followers at the rate of 12,000
The equation becomes: y=-12,000x+b
After 4 years he was down to 198,000.
This implies that, when x=4,y=198,000
We substitute to get:
[tex]198,000=-12,000(4)+b[/tex]
[tex]198,000=-48,000+b[/tex]
[tex]b=198,000+48,000=246,000[/tex]
Hence he started with 246,000 customers
b) The equation now becomes [tex]y=-12,000x+246,000[/tex]
To find how many years he will have 6000 followers, we substitute y=6000 and solve for x.
[tex]6000=-12,000x+246,000[/tex]
[tex]6000-246,000=-12,000x[/tex]
[tex]-240,000=-12,000x[/tex]
[tex]x=\frac{240,000}{12,000}[/tex]
x=20.
3. We still use the equation: y=mx+b.
This time m=0.25 is the rate per mile.
This implies y=0.25x+b
Since Kyle drove 32 miles and spent $73, we have y=73 when x=32
We substitute these values and solve for x.
[tex]73=0.25(32)+b[/tex]
[tex]73=8+b[/tex]
[tex]b=73-8[/tex]
[tex]b=65[/tex]
Hence the one-time fee is $65
b) The equation now becomes:
[tex]y=0.25x+65[/tex]
To find how much it will cost to drive 81 miles, we substitute x=81 and solve for y.
[tex]y=0.25*81+65[/tex]
[tex]y=20.25+65[/tex]
[tex]y=85.25[/tex]
The cost for 81 miles is $85.25
find the point slope form for (-4,-9) and (1,6)
Answer:change in y) / (change in x)
More formally, if a line passes through two points (x1,y1) and (x2,y2), then the slope m of the line is given by the formula:
m=y2−y1x2−x1
In the case of the points (4,9) and (1,6), we get:
m=6−91−4=−3−3=1
Step-by-step explanation:
Answer:
slope = 3
Step-by-step explanation:
Graph
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Kimberly is using ribbon to create girls' hair barrettes. For a craft fair in Rockport, she made 13 small barrettes and 11 large barrettes, using a total of 142 yards of ribbon. Then, for another craft fair in Westminster, she made 13 small barrettes and 12 large barrettes, which used a total of 149 yards. How many yards of ribbon does Kimberly use for each?
Answer:
Step-by-step explanation:
x = small barrettes
y = large barrettes
13x + 11y = 142.......multiply by -1
13x + 12y = 149
-----------------------
-13x - 11y = -142 (result of multiplying by -1)
13x + 12y = 149
------------------------add
y = 7..........large barrettes used 7 yards
13x + 11y = 142
13x + 11(7) = 142
13x + 77 = 142
13x = 142 - 77
13x = 65
x = 65/13
x = 5........small barrettes used 5 yards
Final answer:
Kimberly uses 5 yards of ribbon for each small barrette and 7 yards of ribbon for each large barrette. The problem was solved using a system of equations and the elimination method.
Explanation:
To solve the problem using a system of equations and the elimination method, we first need to define variables for the unknown quantities we are trying to find. Let's let x represent the number of yards of ribbon used for each small barrette and y represent the number of yards of ribbon used for each large barrette.
From the information given, we can set up the following system of equations representing the two craft fairs:
For Rockport: 13x + 11y = 142
For Westminster: 13x + 12y = 149
Now, we will solve these equations using the elimination method. To eliminate one of the variables, we can subtract the first equation from the second equation.
13x + 12y - (13x + 11y) = 149 - 142This simplifies to:
y = 7
Using the value of y, we can substitute it back into either equation to find x. Plugging it into the first equation:
13x + 11(7) = 142
13x + 77 = 142
13x = 142 - 77
13x = 65
x = 65 / 13
x = 5
Therefore, Kimberly uses 5 yards of ribbon for each small barrette and 7 yards of ribbon for each large barrette.