3s - 3 > 6 what is the Answer
Answers
Answer:
s > 3
Step-by-step explanation:
3s - 3 > 6
Add 3 on both sides to cancel out 3 from 3s - 3
3s > 9
Divide by 3 on both sides to isolate the variable s
s > 3
Answer:
s>3
Step-by-step explanation:
3s-3>6
(given)
3s>9
(add 3 to both sides)
s>3
(divide both sides by 3)
Related Questions
Helpp please I don’t understand :(
Answers
Answer:
s = 2 1/3 + 1/2
t = 2/3 + 3/2
We have to find the sum of both s and t.
2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6
2/3 + 3/2 = 4/6 + 9/6 = 13/6 = 2 1/6
If we look at the number lines, we can see that c matches with both points.
Type < or > to make this statement true -a___-b
Answers
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
Tim and Jessica plan to rent a camper van for a vacation. The can costs $183 per day. The rental includes 120 miles for free then charges $0.39 per mile.
The total price Tim and Jessica paid to rent the camper van is 598.74. An equation that models the cost of the van rental in terms of miles traveled, m, is 598.74 = 183 + 0.39 (m - 120)
Use the equation to determine how many miles Tim and Jessica tracked if they paid 598.74
Answers
The equation that represents the cost of the van rental is $598.74 = 136.20 + $0.39m .
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
The general form of linear equations is:
y = a + bx
Where:
a = intercept
b = slope
The form of the equation that models the cost is:
Total cost = cost of renting the van + [cost per mile x (m - 120 miles)
$598.74 = $183 + [$0.39 x (m - 120)
$598.74 = $183 + $0.39m - 46.80
$598.74 = 136.20 + $0.39m
Thus, they travelled 1186 miles.
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The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5. Is the relation a function? Explain. No, because for each input there is not exactly one output No, because for each output there is not exactly one input Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input
Answers
Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.
To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.
From the given mapping diagram, we can see that:
The input value -3 is associated with the output value 0.
The input value -1 is associated with the output value 2.
The input value 1 is associated with the output value 0.
The input value 3 is associated with the output value 2.
The input value 5 is associated with the output value 5.
As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.
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Could you use a Paired t-Test to determine if there is a difference between the means of the 2 groups. Type YES or NO
Answers
A paired t-test can be used to determine if there is a difference between the means of the two groups.
YES.
A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.
In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.
By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.
Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.
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A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
Answers
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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Yasmin took a survey of her classmates to determine the frequencies of different eye colors
Answers
-Blue has 7 people
-Brown has 15 people
-Green has 4 people
-Hazel has 3 people
When all added up 29 classmates.
What is 96 x 4762 please tell me how to solve this
Answers
Answer:
It's 457152.
Step-by-step explanation:
4762
x 96
Lay it out like this. Then begin muliplying the bottom right number (6) by each top number. Then once finished, add a 0 below your answer. Then multiply the bottom left number (9) by each top number again. Once that's all finished, add those two answers.
Imani rented a bike for $37. The rental cost $16 plus an amount per hour. If she rented it for 7 hours, what was the cost per hour?
Answers
Answer:
3$
Step-by-step explanation:
Kiran left his house at time zero and drove to the store, which is 3 blocks away, at a speed of 1 block per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 1 block per minute until he got to the bank, which is 3 blocks away from the store. He stopped at the bank for 4 minutes. Then he drove home at a speed of 2 blocks every minute. Make a graph of showing the humber of blocks away from home that Kiran is a minutes after he leaves his house, until he gets back home.
Answers
we can see that Kiran is farthest from home (6 blocks away) at time 5, when he reaches the bank. He spends the most time away from home (9 minutes) during his entire journey.
How to make graph?
To make a graph showing Kiran's distance from home over time, we can use the following steps:
Divide the journey into three parts: from home to store, from store to bank, and from bank to home.
Calculate the time taken for each part of the journey based on the distance and speed.
Use a coordinate system to plot Kiran's distance from home on the y-axis and time on the x-axis.
Plot the points corresponding to Kiran's position at different times for each part of the journey.
Connect the dots to form a continuous line.
Let's go through each part of the journey in more detail:
Home to store: Kiran is driving at a speed of 1 block per minute, and the distance is 3 blocks. Therefore, he reaches the store in 3 minutes.
Store to bank: After spending 2 minutes at the store, Kiran continues driving at a speed of 1 block per minute, and the distance is 3 blocks. Therefore, he reaches the bank in 5 minutes.
Bank to home: After spending 4 minutes at the bank, Kiran drives at a speed of 2 blocks per minute, and the distance is 6 blocks. Therefore, he reaches home in 9 minutes.
To plot the graph, we can use a coordinate system where the x-axis represents time in minutes and the y-axis represents Kiran's distance from home in blocks. We can label the points on the graph corresponding to Kiran's position at different times, as follows:
At time zero, Kiran is at home, which is 0 blocks away from home.
At time three, Kiran reaches the store, which is 3 blocks away from home.
At time five, Kiran reaches the bank, which is 6 blocks away from home (3 blocks from the store plus 3 blocks from home).
At time nine, Kiran reaches home again, which is 0 blocks away from home.
To create the graph, we can plot these points and connect them with a line, as shown in the attached image.
Graph showing Kiran's distance from home over time
From the graph, we can see that Kiran is farthest from home (6 blocks away) at time 5, when he reaches the bank. He spends the most time away from home (9 minutes) during his entire journey.
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X+y when x =11 and y= 6.4
Answers
Answer:
(x=11) + (y=6.4)
=11+ 6.4
=17.4
Abe digs a hole at a steady rate of (meaning negative) 1.2 feet every hour.
Consider ground level to be 0.
What value represents the elevation of the hole relative to ground level after digging for 2.5 hours?
Enter your answer in the box.
Answers
The elevation of the hole relative to ground level after digging for 2.5 hours is -3.
There are two glass pyramids at the Louvre Museum in Paris, France. The outdoor pyramid has a square base with side lengths of 35.4 meters and a height of 21.6 meters. The indoor pyramid has a square base with side lengths of 15.5 meters and a height of 7 meters. How many times as great is the volume of the outdoor pyramid than that of the indoor pyramid?
Answers
The volume of the outdoor pyramid is 16 times greater than that of the indoor pyramid.
What exactly is a square pyramid?
With a square base and four triangular faces or sides that meet at a single point (known as the vertex), a square pyramid is a three-dimensional geometric object. Because to its five faces, it is known as a pentahedron.
The outdoor pyramids is in the space of a rectangular pyramids
the volume of a rectangular pyramids
V₁ = 1/3 . b . b h
= 1/3 . (35.4) .(35.4) . (21.6)
= 9,022.752 m³
the volume of a indoor rectangular pyramids
V₂ = 1/3 . b . b . h
= 1/3 * (15.5) * (15.5) * 7
= 560.583 m³
V₁/V₂ = 9022.752/560.583
= 16.095 ≈ 16
Therefore, the volume of the outdoor pyramid is 16 times greater than that of the indoor pyramid.
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1 If a = p^1/3-p^-1/3
prove that: a^3 + 3a = p - 1/p
Answers
Hello, please consider the following.
We know that
\(a = p^{\frac{1}{3}}-p^{-\frac{1}{3}}\\\\=p^{\frac{1}{3}}-\dfrac{1}{p^{\frac{1}{3}}}\)
And we can write that.
\((p-\dfrac{1}{p})^3=(p-\dfrac{1}{p})(p^2-2+\dfrac{1}{p^2})\\\\=p^3-2p+\dfrac{1}{p}-p+\dfrac{2}{p}-\dfrac{1}{p^3}\\\\=p^3-\dfrac{1}{p^3}-3(p-\dfrac{1}{p})\)
It means that, by replacing p by \(p^{1/3}\)
\((p^{1/3}-\dfrac{1}{p^{1/3}})^3=p-\dfrac{1}{p}-3(p^{1/3}-\dfrac{1}{p^{1/3}})\\\\\\\text{ So }\\\\a^3=p-\dfrac{1}{p}-3a\\\\<=>\boxed{ a^3+3a=p-\dfrac{1}{p} }\)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Which statement must be added to the given to keep this proof valid?
A. JL ⊥ LM
B. KN ⊥ LM
C. JL || LM
D. KN || LM
Answers
A statement that must be added to the given to keep this proof valid include the following: D. KN || LM.
What are parallel lines?In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
What is the basic proportionality theorem?In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.
Based on the basic proportionality theorem, we know that line segment KN is parallel to line segment LM.
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If
2tan x/1-tan² x= 1, then x can equal:.
A. x =
B. x=
C. x=
K|0
D. x=
8
+ NIT
77
37
+ 27
+ NIT
-57 +1
NIT
SUBMIT
Answers
The value of x is x= π/8
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
2tan x/1-tan² x= 1
We know that tan π/4= 1
So, 2tan x/1-tan² x= tan π/4
Also, we know that tan 2x= 2tan x/1-tan² x
Again, 2tan x/1-tan² x= tan π/4
tan 2x= tan π/4
Now comparing we get
2x= π/4
x= π/8
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Which equation represents the line passing through P and parallel to line m?
A. y-3=2(x+2)
B. y+2=2(x-3)
C. y-3 = -1/2 (x+2)
D. y+2= 1/2 (x-3)
Answers
The equation that represents the line passing through P and parallel to line m would be; B y+2 = 2(x-3)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given the line passing through P and parallel to line m.
We can conclude that the point lies on the line is (3, -2)
The slope of the given line is m = 2.
Thus the equation will be;
y-y₁ = m(x-x₁)
y+2 = 2(x-3)
The equation that represents the line passing through P and parallel to line m would be; B -> y+2 = 2(x-3)
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The radius of a circle is tripled, what happens to the circumference of the circle?
Answers
Answer:
It gets bigger
Step-by-step explanation:
You just multiply the circumference by 3
Answer:
The circumference is tripled
Step-by-step explanation:
The formula for the circumference is 2πr. If you triple the radius the formula would be 2π3r. the ratio between the two is 2π3r / 2π1r. 2π & r cancels out and you have 3/1 left. Therefore the answer is the circumference is tripled.
The fact that there is no exponential in the formula indicates that the proportional increase is lineal.
Hunter read 12 books in 2 months. If he reads at a constant rate, how many books did
he read in one month? Give your answer as a whole number or a FRACTION in
simplest form.
PLS ANSWER QUICK
Answers
Answer:Hunter read 6 months in a month
Step-by-step explanation:
12/2=6 books in a month
Answer:
6 Books a Month
Step-by-step explanation:
12 / 2 = 6
Mr. Dimaggio is making his famous pasta sauce. He uses 8 cups of tomatoes to make 2 quarts of sauce. How many cups of tomatoes will he need to make 12 quarts of the sauce?
____________ = ______________
Please help me!!!!!!!!!
Answers
Answer:
48 cups of sauce
Step-by-step explanation:
You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce
Hope that helped
Find the value of the unknown
Answers
Answer:
20°
Step-by-step explanation:
Step 1:
4n = 80° Vertical ∠'s
Step 2:
n = 80° ÷ 4 Divide
Answer:
n = 20°
Hope This Helps :)
Select the correct answer.Solve the equation using the method of completing the square.A. B. C. D.
Answers
Answer:
C. -4 ± 2√6
Explanation:
The given equation is
3x² + 24x - 24 = 0
First, add 24 to both sides
3x² + 24x - 24 + 24 = 0 + 24
3x² + 24x = 24
And factorize 3 on the left side
3(x² + 8x) = 24
Then, to complete the square, we need to add and substract (b/2)² to the expression in parenthesis. In this case, b = 8, so
(b/2)² = (8/2)² = 4² = 16
Then, add and subtract 16 as follows
3(x² + 8x + 16 - 16) = 24
3(x² + 8x + 16) - 3(16) = 24
3(x² + 8x + 16) - 48 = 24
Finally, we can factorize and solve for x
3(x + 4)² - 48 = 24
3(x + 4)² - 48 + 48 = 24 + 48
3(x + 4)² = 72
3(x + 4)²/3 = 72/3
(x + 4)² = 24
Solving for x, we get
\(\begin{gathered} x+4=\pm\sqrt{24} \\ x+4-4=-4\pm\sqrt{24} \\ x=-4\pm\sqrt{24} \\ x=-4\pm\sqrt{4\cdot6} \\ x=-4\pm2\sqrt{6} \end{gathered}\)Therefore, the answer is
C. -4 ± 2√6
Write a unit rate for the situation $24 for 3 pounds
Answers
cost/number
24/3=8
So, the unit rate is $8.00
Hope this helps!
EASY QUESTION 20 POINTS 20 MiNUTS LEFT
Answers
Answer:
10.125 i know it hope thisbhelps
Step-by-step explanation:
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
Answers
$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.
The total amount to be invested is $60,000. We are given two options for investing the money.The money can be invested either in B-rated bonds, which pays 13% interest per year, or in a certificate of deposit (CD), which pays 5% interest per year.Let the amount to be invested in B-rated bonds be 'x'. The amount to be invested in a certificate of deposit equals 60,000-x. The requirement is to get an exact amount of interest that equals $6000. The total interest per year = 13% of 'x' + 5% of (60,000-x).6,000 = 13x/100 + 5(60,000-x)/100.6,00,000 = 13x + 5(60,000-x)6,00,000 = 13x + 300,000-5x6,00,000 = 8x + 300,0008x = 300,000x = 300,000/8x = 37,500Now calculate the value of 60,000-x.60,000-x = 60,000-37,50060,000-x = 22,500Thus, the amount to be invested in B-rated bonds is $37,500 and the amount to be invested in a certificate of deposit is $22,500.To learn more about interest, visit :
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When tossing a two-sided, fair coin with one side colored orange and the other side colored blue, determine P(blue).
blue over orange
orange over blue
one half
2
Answers
(20+10) divided by 5x2 PLEASE HELPPPPP!!!!
Answers
Answer:
12
Step-by-step explanation:
Do the addition in the parentheses first.
20 + 10 = 30
So your equation should look like this now:
30 ÷ 5 · 2
According to PEMDAS, if there are two multiplication or division things, you have to divide or multiply the first one.
(I didn't explain that PEMDAS thing very well)
Divide 30 by 5
30 ÷ 5 = 6
Your equation:
6 · 2
Multiply.
6 · 2 = 12
Your answer is 12
Hope I helped :)
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
6*9+(6+9)=?
Plz I really need this in the next minute.
Answers
100 POINTS
Give explanation also pls or reported
AB is a common tangent of circles C, D, E and F.
Suppose that AC = 12, DB = 9 and AE = BF = 3.
If the midpoint of EF is the center of a circle that is tangent to both circles E and F, what are the possible values for its radius?
Answers
Answer:
6√3 ±3 ≈ {7.392, 13.392}
Step-by-step explanation:
The length of AB is the long side of a right triangle with hypotenuse CD and short side (AC -BD). The desired radius values will be half the length of EF, with AE added or subtracted.
__
length of ABRadii AC and BD are perpendicular to the points of tangency at A and B. They differ in length by AC -BD = 12 -9 = 3 units.
A right triangle can be drawn as in the attached figure, where it is shaded and labeled with vertices A, B, C. Its long leg (AB in the attachment) is the long leg of the right triangle with hypotenuse 21 and short leg 3. The length of that leg is found from the Pythagorean theorem to be ...
AB = √(21² -3²) = √432 = 12√3
tangent circle radiiThis is the same as the distance EF. Half this length, 6√3, is the distance from the midpoint of EF to E or F. The radii of the tangent circles to circles E and F will be (EF/2 ±3). Those values are ...
6√3 ±3 ≈ {7.392, 13.392}
Answer:
6√3 ± 3
Step-by-step explanation:
AC is the radius of Circle C ⇒ radius = 12
DB is the radius of Circle D ⇒ radius = 9
Therefore, CD = AC + DB = 12 + 9 = 21
AE is the radius of Circle E ⇒ radius = 3
BF is the radius of Circle F ⇒ radius = 3
If AB is the common tangent of Circles C, D, E and F, then:
∠CAB =∠AEF = ∠DBA = ∠BFE = 90°
(as the tangent to a circle is always perpendicular its the radius).
Also AB = EF
To find the possible radii of a circle whose center is the midpoint of EF and is tangent to both circles E and F, we first need to find the length of EF (marked by x on the attached diagram).
CD is the hypotenuse of a right triangle with base equal to EF and a smaller leg of the difference between the radii of Circles C and D.
(Refer to the green shaded triangle on attachment 1)
Therefore, to find EF (x), use Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ a² + b² = c²
⇒ 3² + x² = CD²
⇒ 3² + x² = (12 + 9)²
⇒ 9 + x² = 441
⇒ x² = 432
⇒ x = √432
⇒ x = 12√3
⇒ EF = 12√3
As the radius of Circles E and F is 3, the possible diameter of the circle with its center as the midpoint of EF is 6 less or 6 more than the length of EF.
⇒ diameter = EF ± 6
= 12√3 ± 6
As the radius is half of the diameter, the possible radii of a circle whose center is the midpoint of EF and is tangent to both circles E and F is:
⇒ radius = diameter ÷ 2
= (12√3 ± 6) ÷ 2
= 6√3 ± 3
(see attachments 2 and 3 → the possible circles are shown in orange)
