Answer:
c= -y-16/3y; true for all
Step-by-step explanation:
I don't know if this is correct or not, but give it a shot.
subtract y from both sides: 3cy+2+y-y=14-y
simplify: 3cy+2=-14-y
subtract 2 from both sides: 3cy+2-2=14-y-2
simplify: 3cy=-y+16
divide both sides by 3y: 3cy/3y= -y/3y-16/3y; true for all
simplify: c--y-16/3y; true for all
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
-5
-4
-3
-2
+
4
-1
0
+
5
1
2
3
-5
-4
-3
-2
-1
+
1
+
2
0
3
4
5
+
-5
-4
-3
-2
-1
+
1
+
2
+
3
+
4
O
5
o
-5
-4
-3
-2
+
1
-1
0
2
2
3
3
4
st
5
Answer:
Option 2 is correct .
Step-by-step explanation:
A inequality is given to us , and we need to find the solution set for it. The given inequality is :-
⇒ 3(8 - 4x) < 6(x - 5)
⇒ 24 - 12x < 6x - 30
⇒ 24 +30 < 6x + 12x
⇒ 54 < 18x
⇒ x > 54/18
⇒ x > 3
This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 . Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .
The solution set is x ∈ ( 3 , ∞ ) .And the second option is correct.I have also attached the graph . The red area shows the possible values of x.
The solution is : Option 2 is correct .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
A inequality is given to us , and we need to find the solution set for it. The given inequality is :-
⇒ 3(8 - 4x) < 6(x - 5)
⇒ 24 - 12x < 6x - 30
⇒ 24 +30 < 6x + 12x
⇒ 54 < 18x
⇒ x > 54/18
⇒ x > 3
This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 .
Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .
The solution set is x ∈ ( 3 , ∞ ) .And the second option is correct.
Here, attached the graph . The red area shows the possible values of x.
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Find the coordinates on f the point where y-4x=1 crosses the axis
Answer:
The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]
Step-by-step explanation:
Intercepts of a Function
Given a function y=f(x), the intercepts with the x-axis, if any, can be found by solving the equation:
y = f(x) = 0
The intercepts with the y-axis can be found by calculating
f(0)
We are given the function
y - 4x = 1
To find the x-intercepts, set y=0:
0 - 4x = 1
Solving:
[tex]x = -\frac{1}{4}[/tex]
For x=0:
y - 4*0 = 1
y = 1
The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]
Please answer please please answer
3 1/3+(-2 1/4)+1 5/6
what is the equation of the blue line?
The answer y = 3x-7 / y = 3(x-4)+5 is wrong
Answer:
y = 4x -3
Step-by-step explanation:
Here, we want to get the equation of the blue line
As we can see, the y-intercept is -3
So we have the equation as;
y = mx -3
To get the value of m which is the slope , we check for any point on the line
That would be;
(1,1)
Let us have this substituted;
1 = m(1) - 3
1 = m -3
m = 1 + 3
m = 4
so the equation of the straight line is;
y = 4x -3
At a basketball game, 65% were supporting the home team, while 35% were supporting the visiting team. If 882 attending the game supported the visiting team, what was the total number of people at the game
Answer: 2520
Step-by-step explanation:
Given: Number of people supported the visiting team = 882
Let x = Total number of people at the game.
As per given,
35% of x = 882 [35% were supporting the visiting team]
[tex]\Rightarrow\ 0.35x=882\\\\\Rightarrow\ x=\dfrac{882}{0.35}\\\\\Rightarrow\ x= 2520[/tex]
Hence, the total number of people at the game = 2520 .
picture help meeee pleaseeeeeeeee
Answer:
first three terms are 3, 6, 9 and the 10th one is 30
Step-by-step explanation:
Answer:
3, 12, 27 and 300
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the n th term formula
3(1)² = 3 × 1 = 3
3(2)² = 3 × 4 = 12
3(3)² = 3 × 9 = 27
The first 3 terms are 3, 12, 27
Substitute n = 10 into formula for 10 th term
3(10)² = 3 × 100 = 300
Tom went bowling with $27 to spend. He rented shoes for $5.75 and paid $4.25 for each game.
George wants to invest $3,250. American Bank offers a simple interest rate of 4%, while Liberty Savings offers an interest rate of 3.75% compounded annually. How much more in interest will George earn after 8 years if he invests with Liberty Savings rather than American Bank? $4,363.03
Answer:
$4,363.03
i hope i actually get this right because im doing a test right now in math class
Using the interest formulas, it is found that George will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.
Simple Interest:
[tex]E = Pit[/tex]
In which:
P is the principal, which is the amount invested.i is the interest rate, as a decimal.t is the time, in years.For American Bank, we have that [tex]P = 3250, r = 0.04, t = 8[/tex], hence:
[tex]E = Pit = 3250(0.04)(8) = 1040[/tex]
Compound interest:
[tex]E = P[(1 + r)^t - 1][/tex]
For Liberty Savings, we have that [tex]r = 0.0375[/tex], hence:
[tex]E = P[(1 + r)^t - 1] = 3250[(1.04)^8 - 1] = 1198[/tex]
1198 - 1040 = 158.
He will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.
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ONG PLS HELP WITH THIS ILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
The slope(m) is 2 because every time it goes left, it goes up by 2.
The y-intercept(b) is -1 because the line crosses the y-axis at (0, -1)
m=2, b=-1
Whats an equation in the form of y=ax+b ?
Answer: Slope-Intercept
which set of numbers could be the size lengths of a right triangle
Answer:
a
Step-by-step explanation:
3x4=12
12/2=6
3,4,6
PLEASE HELP
The figure shows a 12ft by 15ft rectangle divided into four rectangular parts. EXPLAIN whether the rectangles in each pair are similar.
13. rectangle A and the original rectangle
14. rectangle C and rectangle B
15. the original rectangle and rectangle D
Answer:
3ft
Step-by-step explanation:
Rectangle C is not similar to rectangle B. The measures of the corresponding angles are equal and the corresponding side lengths are not proportional.
A person invests 9000 dollars in a bank. The bank pays 4.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 12600 dollars?
A=P(1+nr)nt
Answer:
The time required to get a total amount of $ 12,600.00 from compound interest on a principal of $9000 at an interest rate of 4.75% per year and compounded 4 times per year is 7.1 years.
Step-by-step explanation:
Given
Principle P = 9000 dollars
Rate r = 4.75% = 0.0475
Total Amount A = 12600 dollars
compounded quarterly n = 4
To determine:
Time t = ?
Using the equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
solving the equation for 't'
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(12,600.00/9,000.00) / ( 4 × [ln(1 + 0.011875/4)] )
t = 7.1 years
Therefore, the time required to get a total amount of $ 12,600.00 from compound interest on a principal of $9000 at an interest rate of 4.75% per year and compounded 4 times per year is 7.1 years.
Express 18^1/3 in simplest radical form
Answer:
Step-by-step explanation:
18^1/3
=18/3
18/3=6
Answer- 6
Answer:
[tex] \sqrt[3]{18} [/tex]
Step-by-step explanation:
[tex]a^{\frac{1}{n}} = \sqrt[n]{a}[/tex]
[tex] 18^{\frac{1}{3}} = \sqrt[3]{18} [/tex]
What is the value of y?
Enter your answer in the box.
Round your final answer to the nearest whole number.
Answer:
I hope this helps! The answer is 9. I solved this by using “sin” to find y.
Step-by-step explanation:
Who walks faster if hichman walks 84 feet in 7 seconds or Brittany who walks 110 feet in 20 Second
Answer:
Hichman will walk faster.
Step-by-step explanation:
Hichman walks 84 feet in 7 seconds and Brittany walks 110 feet in 20 Second.
We need to say who walks faster.
For Hichman,
Distance, d = 84 feet and time, t = 7 s
Speed,
[tex]v_H=\dfrac{d}{t}\\\\v_H=\dfrac{84}{7}\\\\=12\ ft/s[/tex]
For Brittany,
Distance, d = 110 feet and time, t = 20 s
Speed,
[tex]v_B=\dfrac{d}{t}\\\\v_B=\dfrac{110}{20}\\\\=5.5\ ft/s[/tex]
It can be seen that speed of Hichman is 12 ft/s and the speed of Brittany is 5.5 ft/s. It is clear that the speed of Hichman is more than that of Brittany. Hence, Hichman will walk faster.
Work out 5 2 − 3 × 2 × 5 3 ÷ 1 2 3
Answer:
the answer is 49.41463415
Step-by-step explanation: Brainliest please
What is the slope of the line?
Answer:
-2/3
Step-by-step explanation:
Visibly we can see the line passes through (0,3) and (3,1)
The equation for slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{3-1}{0-3}= \frac{-2}{3}[/tex]
I hope this helps! :)
Answer:
Slope = -2/3
Step-by-step explanation:
Rise over run, pick one point of intersection
Go up 2, go to the left until you reach another point of intersection, which is 3 units.
1/2x + 7 =
Plz help to know the answer to this plz
Answer: For multiplying is 3.5 and for adding is 7.5
Step-by-step explanation: because if you do 1/2 + 7 all you have to do is add the 7/1 and you would add it but if its multiplying your asking it would be 3.5
Which algebraic expression could represent the phrase below
Answer:
B: n - 5
Step-by-step explanation:
It said a number n, which is a variable.
Decreased means subtracting by 5.
So the answer would be: n - 5
Help show your work to
Answer:
1/3 + 1/4 = ?
(1/3 x 4/4) + (1/4 x 3/3)=?
I multiplied like so in order to get equal denominators
4/12+3/12=7/12
Step-by-step explanation:
What is the area of rectangle RSTU? Show step by step!
Plz help me and solve this ASAP! Solve ASAP! Plz! Thank you!
Step-by-step explanation:
We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.
a² + b² = c²
4² + b² = 10²
16 + b² = 100
100 - 16 = 84
b² = 84
b = √84
b ≈ 9.165
Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.
9.165 * 4
36 + 0.4 + 0.24 + 0.020
36.4 + 0.24 + 0.02
36.64 + 0.02
36.66 u²
The area of rectangle RSTU is about 36.66 units squared.
can somebody please help me with question number 2 ?
Answer:
75 Degrees
Step-by-step explanation:
We know that all the angles of a triangle add up to 180.
We also know the each angle of triangle DEF in terms of variables
All we have to do is add the 3 angles which equal a total of 180 Degrees.
Angle D+E+F = 180 Degrees
(5+x) + (6+4x) + (4x) = 180
9x + 11 = 180
9x = 169
x = 18.8 Degrees
Angle F is 4x so it is 4(18.8) = 75 Degrees
This is what i got, I"m not sure what else im supposed to solve for. The multiple choice doesnt make sense.
Tanisha plans to invite 24 people to a snack. Each package contains 8 invitations. How many invitation packages should you buy?
Answer: 3
Step-by-step explanation:
From the question, we are informed that Tanisha plans to invite 24 people to a snack and that each package contains 8 invitations.
The number of invitation packages that should be bought will be the number of people to be invited divided by the invitations in each package. This will be:
= 24/8
= 3 invitation packages
The table shows the number of cell phone towers a
company will build as the number of its customers
increases. Complete a and b below.
Cell Phone Towers
Customers (thousands) Towers
5.25
273
6.25
325
7.25
377
9.25
481
a. Is the relationship between number of towers and number of customers proportional? Explain.
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. No. The ratios of towers to customers are not all equivalent.
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of
Answer:
The correct option is;
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)
Step-by-step explanation:
The given data can be presented as follows;
Cell Phone Towers
Customer (thousands) [tex]{}[/tex] Towers
1) 5.25 [tex]{}[/tex] 273
2) 6.25 [tex]{}[/tex] 325
3) 7.25 [tex]{}[/tex] 377
4) 9.25 [tex]{}[/tex] 481
From the given data, we have the ratio Towers/Customer (thousands) given as follows;
For 1), we have;
273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)
For 2), we have;
325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)
For 3), we have;
377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)
For 4), we have;
481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)
Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).
Ahmed collects x kilograms of recycling. Kimaya collects 2/5 more than that. Write an equation that describes the relationship between the two quantities.
Answer: y=2/5x
Step-by-step explanation:
Y times x 2/5 which would be the answer
The equation that describes Ahmed collects x kilograms of recycling and Kimaya collects 2/5 more than that is {x + (2/5)x} kilograms.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Ahmed collects x kilograms of recycling and Kimaya collects 2/5 more than that.
∴ The equation that describes this scenario is,
= {x + (2/5)x}.
= (5x + 2)/5 kilograms.
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5 workers can repair the road in 9 hours. How long will it take 3
workers to do the same repairs? hours
Need just the answr please
Answer:
need to work out how long it would take 1 person first.
9 X 5 = 45
1 person will take 45 hours
45/3= 15 hours
Evaluate please I need helppppp
Answer:
-5 sorry if it's wrong. I tried.
Answer:
-5
Step-by-step explanation:
.
Simplify 1826.00 - 338.12.
Answer:
1487.88
Step-by-step explanation:
Because you have to line the decimals up to make sure you have the correct answer