Answer: Any number smaller than 6
3k - 6 < 12
(Add six to both sides)
= 3k < 18
(Divide by 3 on both sides)
= k < 6
Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.
help The area of a square
Answer:
[tex]2551\dfrac{1}{2}[/tex]
Step-by-step explanation:
[tex]\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in[/tex]
[tex]\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in[/tex]
Volume of rectangular prism = l*w*h
[tex]= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches[/tex]
Answer:
[tex]\sf 2551\frac12 \ cubic \ inches[/tex]
Step-by-step explanation:
volume of a cuboid = width × length × height
Given:
[tex]\sf width=10\frac12 \ in[/tex][tex]\sf length=20\frac14 \ in[/tex][tex]\sf height=12 \ in[/tex]Substituting given values into the formula for volume:
[tex]\sf \implies volume=10\frac12 \times 20\frac14 \times 12[/tex]
[tex]\sf =\dfrac{21}{2} \times \dfrac{81}{4} \times \dfrac{12}{1}[/tex]
[tex]\sf =\dfrac{21 \times 81 \times 12}{2 \times 4 \times 1}[/tex]
[tex]\sf =\dfrac{20412}{8}[/tex]
[tex]\sf =2551\frac12 \ in^3[/tex]
A teacher teaches 8 students how to fold an origami model. Each of these students goes on to teach 8
students of their own how to fold the same model. If this teaching process goes on for 6 generations,
how many people total will know how to fold the origami model
Answer:
8x8= 64
64x6= 384
384 is the answer
Let me know if i helped!
solve the formula P = 2l + 2w for w.
We are given the following equation :
[tex]{:\implies \quad \sf P=2L+2w}[/tex]
And we need to solve for w, so let's start :
[tex]{:\implies \quad \sf P=2L+2w}[/tex]
Now, transpose 2L to LHS ;
[tex]{:\implies \quad \sf P-2L=2w}[/tex]
[tex]{:\implies \quad \sf 2w=P-2L}[/tex]
[tex]{:\implies \quad \boxed{\bf{w=\dfrac{(P-2L)}{2}}}}[/tex]
Hence, Option a) is correct
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(0, −8) and line y = 8.
Answer:
-1/32 × x
Step-by-step explanation:
let's define and identify the correct markers of the correct parabola.
so, we have the focus point F (0, -8).
we have the directrix y = 8.
that means the the vertex point (the middle between the focus and the directrix) is (0, 0).
a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.
so, we can rule out the 2 positive answer options.
to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.
e.g. x = 1
so,
y = -1/8 × x²
gives us y = -1/8 for x = 1
that means the point is (1, -1/8).
the distance to the focus (0, -8) is
(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =
= 64/64 + 3969/64 = 4033/64
the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.
so, the distance (1, -1/8) to (1, 8) is
(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64
that is not equal to the distance to the focus.
so, let's try
y = -1/32 × x
the point for x = 1 is (1, -1/32)
distance to focus
(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =
= 1024/1024 + 65025/1024 = 66049/1024
distance to directrix
(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024
which is the same distance as to the focus.
so, y = -1/32 × x is the right answer.
FYI - for an actual distance I would have to create the square roots of the numbers used here.
but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.
When asked to factor the trinomial 6x^2 - 18 + 12, a student gives the answer (x - 2)(x - 1). What is the one thing wrong with this answer?
A. 6 is also a factor of this trinomial
B. The minus signs should always be plus signs
C. There is nothing wrong with the answer
D. The factors are not simplified
Answer:
the answer is C which one is this
The equation y=19x relates proportional quantities x and y. What is the value of y when x is 4?
Answer:
y = 76
Step-by-step explanation:
Since x = 4
Substitute:
y = 19(4)
Multiply the numbers
y = 76
~Lenvy~
can someone help me answer this question?
check picture uploaded to see steps
children = 201
adults = 277
Abby is shooting a rocket off the top of a 128 foot tall building at a velocity of 96 feet per second. The equation to represent this is h(t) = -16t? +960 + 128 where h(t) represents the height of the rocket and t is the time after takeoff.
What is the maximum height of the rocket?
How many seconds does ot take to get to the maximum height?
Find the time it takes (in seconds) for the rocket to crash to the ground.
Answer:
a) 272 feet
b) 3 seconds
c) 7.123 seconds
Step-by-step explanation:
A graphing calculator provides an easy way to answer questions about the parameters of a quadratic function. Here the graph shows ...
a) the maximum height is 272 feet
b) it takes 3 seconds to get there
c) the rocket crashes after about 7.123 seconds
__
You can solve this algebraically by rewriting the equation in vertex form.
h(t) = -16t² +96t +128 . . . . . . given
h(t) = -16(t² -6t) +128 . . . . . . . factor out leading coefficient
h(t) = -16(t² -6t +9) +128 -(-16)(9) . . . . complete the square
h(t) = -16(t -3)² +272 . . . . . . write in vertex form
The vertex of the height function is (3, 272) meaning the rocket reaches a maximum height of 272 feet after 3 seconds.
__
The zero of the function can be found to be ...
0 = -16(t -3)² +272
0 = (t -3)² -17 . . . . . . divide by -16
t -3 = ±√17 . . . . . . add 17, take the square root
t = 3 +√17 ≈ 7.123106 . . . . . positive time value for h(t) = 0
It takes about 7.12 seconds for the rocket to crash.
Aja made a 20% down payment on a house and was approved for a $185,000 mortgage. Therefore, she should expect her closing costs to be about $3,700 to $12,950.
O A True
O B. False
If Aja was approved for a $185,000 mortgage is true Aja's closing costs are between $3,700 and $12,950.
What are closing costs?This is the amount of money paid for the mortgage settlement or closing.
How to calculate the closing costs?The closing costs are equal to 2-7% of the cost of the loan.
What are Aja's closing costs?185,000 x 0.02 = $3700 (2%)
185,000 x 0.07 = $12,950 (7%)
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Leo is testing different types of greenhouse material to determine which type is most effective for growing strawberry bushes. He purchases two different brands of tarps from a local store. Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. He waters both areas daily. At the end of the study, Leo concludes brand A is more effective in growing strawberry bushes. Is Leo's conclusion valid? please explain how and why so I can understand
For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.
What is bias?Bias is an error due to sampling or testing by selecting or preferring one outcome over others.
Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.
For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.
Find out more on bias at: https://brainly.com/question/24491228
Answer:
His conclusion is not valid.
He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.
Step-by-step explanation:
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
QUESTION:1:TYLERCOMPLETELY FILLED THE BOX SHOWN BELOW WITH UNIT,CUBES WITH NO GAPS OR OVERLAPS.HE THEN VOUNTED THE NUMBER OF CUBES THAT HE USED TO FILL THE BOX WHAT TYPE OF MESUREMENT IS REPRESENTED BY THE NUMBER OF CUBES TYLER COUNTED?(5.MD.3)A.AREA B.HEIGHT C.VOLUME D.PERIMETER The CORRECT OPTION :C.VOLUMEStep-by-step explanation:
pls brainlest me thank youA student was asked to simplify the expression 2(x+3)+(4x−8)−7x.
Identify the line which contains the initial error.
1: 2(x+3)+(4x−8)−7x
2: 2x+6+4x+8−7x
3: (2x+4x−7x)+(6+8)
4: −x+14
Answer:
Line 2
Step-by-step explanation:
When factoring the second bracket, 1 x -8 is -8.
Answer:
4
Step-by-step explanation:
2{x+3}+{4x_8}_7x is same2x+6+4x+8_7x the first bracket was multiply by 2 {2x+4x_7x}+{6+8} the like term was collected and grouped with bracketsHelp help help help help
[tex]\mathbf{m}=-\frac{1}{2}[/tex]
Step-by-step explanation:⇒ Find the slope of the line that is perpendicular to y = 2x + 7 :
↓
[tex]\mathbf{m}=-\frac{1}{2}[/tex]
I hope this helps you
:)
Jerry poured water to a height of 1 feet into a
new aquarium with dimensions shown below.
2 ft.
1 ft.
Water
2
3 ft.
One cubic foot of water weighs approximately
62 pounds. What is the weight of the water that
Jerry put in the aquarium?
B. 465 pounds
A. 403 pounds
C. 558 pounds
D. 744 pounds
Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds
How to calculate the volume/weight of waterWe have to find the volume of water in the aquarium.
Recall the shape of the aquarium is a rectangular prism. Therefore,
volume = lwh
where
l = lengthw = widthh = heightTherefore,
l = 3 ft
w = 2 ft
h = 1.5 ft
volume = 3 × 2 × 1.5
volume of water = 9 ft³
Therefore,
1 ft³= 62 pounds
9 ft³ = ?
cross multiply
weight of water = 9 × 62
weight of water = 558 pounds
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The Greyhound bus going to Michigan leaves the station every 20 minutes. Another bus going to Arkansas leaves the station every 40 minutes. If it is 10:40 a.m., what will be the first time both Greyhound buses leave the station at the same time?
The Greyhound bus going to Michigan leaves the station every 20 minutes.
it's 10:40
so next departure on 10:60 => 11:00 then 11:20 then 11:40...
Another bus going to Arkansas leaves the station every 40 minutes.
it is 10:40
so next departure on 11:20 then 12:00
=> 11:20
in november 1958 the cover scientific american showed this diagram on its cover. Each of the interior rectangles is a square. if square D is 81 spuare units and square c is 64 square units what is the area of the other seven squares? what is the area of the of the entire figure? what is the perimeter of the figure
From the 32 by 33 rectangular figure, having interior squares, we have
The area of the squares in square units are;
A = 324 B = 225E = 100F = 196G = 16H = 49I = 1Area of the entire figure = 1056The perimeter of the figure = 130 unitsHow can the area and perimeter be found?The areas in square units are;
Area of square A = 18 × 18 = 324
Area of square B = 15 × 15 = 225
Area of square E = 10 × 10 = 100
Area of square F = 14 × 14 = 196
Area of square G = 4 × 4 = 16
Area of square H = 7 × 7 = 49
Area of square I = 1 × 1 = 1
Area of a rectangle = Length × Breadth
Therefore;
Area of the entire figure = 32 × 33 = 1056
Area of the entire figure = 1056 square unitsThe perimeter, P, of the rectangular figure is therefore;
P = 2 × 32 + 2 × 33 = 130
The perimeter of the figure = 130 unitsLearn more about finding the area of plane figures here;
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The diameter of a circle is 8 miles. What is the angle measure of an arc 3 miles long?
Answer:
[tex]\sf \theta=\dfrac34 \ radians=42.97 \textdegree \ (nearest \ hundredth)[/tex]
Step-by-step explanation:
Formulae
[tex]\sf radius (r)=\dfrac12 d[/tex]
(where d is the diameter of a circle)
[tex]\sf arc \ length =r\theta[/tex]
(where r is the radius and [tex]\theta[/tex] is measured in radians)
Calculation
Given:
[tex]\sf radius (r)=\dfrac12 \cdot 8=4 \ mi[/tex]arc length = 3 miSubstituting these values into the formula for arc length:
[tex]\implies \sf 3 =4\theta[/tex]
[tex]\implies \sf \theta=\dfrac34 \ radians[/tex]
To convert radians to degrees use
[tex]\sf 1 \ rad \cdot \dfrac{180\texrdegree}{\pi}[/tex]
[tex]\implies \sf \dfrac34 \cdot \dfrac{180\texrdegree}{\pi}=42.97183463...\textdegree[/tex]
Now
[tex]\\ \rm\rightarrowtail \theta=\dfrac{l}{r}[/tex]
[tex]\\ \rm\rightarrowtail l=r\theta[/tex]
[tex]\\ \rm\rightarrowtail 3=4\theta[/tex]
[tex]\\ \rm\rightarrowtail \theta=\dfrac{3}{4}^c[/tex]
A grocer wants to mix two kinds of candy. One kind sells for $1.15 per pound, and the other sells for
$2.75 per pound. He wants to mix a total of 24 pounds and sell it for $1.30 per pound. How many
pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Hey there!
This grocer is mixing two kinds of coffee. I always love the smell of coffee!
We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.
Altogether there are 24 pounds of coffee he is selling.
The algebraic equation would be x + y = 24
At $1.30 per pound, he will make 24 * $1.30 = $31.2
So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?
The algebraic equation would be 1.15x + 2.75y = 31.2
We now have two equations :
x+y = 24
1.15x + 2.75y = 31.2
Substituting x= 24 -y in the second equation gives us
1.15(24-y) + 2.75y = 31.2
27.6 - 1.15y + 2.75y = 31.2
27.6 + 1.6y = 31.2
1.6y = 31.2 - 27.6
0.3y= 3.6
y= 2.25
x + y = 24
x + 2.25 = 24
x = 24 -2.25
x = 21.75
If y=2.25, then x= 21.75 as well.
So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.
~Done~
Magan has a bag that contains pineapple chews, cherry chews, and lime chews. He performs an experiment. Magan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Magan performs the experiment 68 times. The results are shown below:
A pineapple chew was selected 59 times.
A cherry chew was selected 3 times.
A lime chew was selected 6 times.
Based on these results, express the probability that the next chew Magan removes from the bag will be cherry chew as a decimal to the nearest hundredth.
Answer:
The Answer is 0.04
Step-by-step explanation:
PQ and QR are 2 sides of a regular 10-sided polygon
Can someone please help I've been struggling on this for quite a while.
Answer:
Step-by-step explanation:
Measure of inner angle of the n-sided polygon is
[tex]\frac{180(n-2)}{n}[/tex]
~~~~~~~~~~~~~~
m∠PQR = [tex]\frac{180(10-2)}{10}[/tex] = 144°
PQ = QR ⇒ m∠QPR = m∠QRP
m∠PRQ = ( 180° - 144° ) ÷ 2 = 18 °
Answer:
∠PRQ = 18°
Step-by-step explanation:
Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)
Interior angle of a regular polygon = sum of interior angles ÷ n
(where n is the number of sides)
Given:
n = 10⇒ Sum of interior angles of a polygon = (10 - 2) × 180° = 1440°
⇒ Interior angle of a regular polygon = 1440° ÷ 10 = 144°
Therefore, as PQ and QR are the sides of the polygon, ∠PQR = 144°
Sum of interior angles of a triangle = 180°
⇒ ∠PQR + ∠RPQ + ∠PRQ = 180°
⇒ 144° + ∠RPQ + ∠PRQ = 180°
⇒ ∠RPQ + ∠PRQ = 36°
As the polygon is regular, PQ = QR which means that ΔPQR is isosceles.
Therefore, ∠RPQ = ∠PRQ
⇒ ∠PRQ = 36° ÷ 2 = 18°
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer:
143
Step-by-step explanation:
I'm not sure if this is correct but this is what I came up with:
all angles combined must add to 360
125+55+37= 217
360-217=143
What is 1 * 2 = + * 1 = + + 2 2 + 1 8 5 / 9
Whoever answers it gets grevious
Answer:
Can you use a specific question please
Step-by-step explanation:
Answer: = 17 7/
Step-by-step explanation:
8 1/5 + 9 1/2 = 177/
10
= 17 7/
40 feet in one hour = what speed in inches per second
Answer:
1728000
Step-by-step explanation:
40 feet is 480, then convert hour tom minute (times 60) then times 60 again to convert minute to second (times 60)
Hope this helps!
I really need Help if u give right answer u get brainliest
Answer:
Step-by-step explanation:
18. Find the present value of a deferred annuity of ₱ 30,000.00 at the end of every year for 10 years. The first payment of a mother will be done at the end of the second year, and the money is compounded at 3% annually. a. ₱ 244,354.12 b. ₱ 248,452.51 c. ₱ 278,520.14 d. ₱ 291,245.18
Answer:
₱ 248,452.51
Step-by-step explanation:
₱ 248,452.51
In how many ways can you spell the word FOOT in the grid below? You can start on any letter F, then on each step you can step one letter in any direction (up, down, left, right, or diagonal).
There are six ways in which the word FOOT may be spelt starting at any letter.
What is combination?The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.
There are four letters in FOOT and one letter is repeated twice therefore;
4C2 = 4!/(4-2)! 2!
4C2 = 4 * 3 * 2!/2! * 2 * 1
4C2 = 12/2
4C2 = 6
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Which of the following is NOT an integer? A. 8/2 B. 1/4 C. 0 D. -5
Answer:
B. 1/4
Step-by-step explanation:
Even though A is a fraction it is also an integer (4)
Question
Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y=−1/3+4
Answer:
Step-by-step explanation:
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = -1/3 x +4
So : product for two slopes = -1 means : m×-1/3=-1
m = 3
now : y = 3 x+b
but this line :
through the point (4,3) : 3 =3(4)+b....... b=-9
conclusion :
the equation is : y =3x -9
what is the definition of an average?
-------------------------------------------------------------------------------------------------------------
Answer:
Average: a calculated "central" value of a set of numbers
-------------------------------------------------------------------------------------------------------------
How to find it in the average:
Add all of the numbers given, then divide by the number of digits.
-------------------------------------------------------------------------------------------------------------
Example:
Question 1. ) Find the average of the digits.
10, 12, 7, 9, 14, 8, 5, 19
Step 1. Add all of the numbers - 70
Step 2. Count how many different numbers there are - 8
Step 3. Take your first answer and your second and divide them
Step 4. 70 ÷ 8 = 8.75 So 8.75 would be the average
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Solve for x.
x−8=−518
Enter your answer as a mixed number in simplest form by filling in the boxes.
The value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.
How to Solve an Equation?To solve for a variable, say x, in an equation, it means to find the value of x that will make the equation true. Do this by isolating x in the equation.
Given the equation:
x/−8 = −5/18
Cross multiply
18x = (-5)(-8)
18x = 40
Divide both sides by 18
x = 40/18
x = 2 2/9.
Therefore, the value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.
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