The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.
Let suppose the width of the rectangle mosaic is w cm. Thus the length of it is,
[tex]l=w+2[/tex]
As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,
[tex]48=(w+2)\times w\\48=(w+2)w\\[/tex]
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is
[tex]w(w + 2) = 48[/tex]
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Answer:
B. w(w + 2) = 48
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)
Is my answer correct?
Answer:
yes
Step-by-step explanation:
YOU DID IT'S A GOOD DAY
only 4 b and c please
Answer:
a) 2L + 2W = 42
b) L = 2W + 3
c) The system is :
2L + 2W = 42
L - 2W = 3
( add the two equations )
3L + (2w - 2w) = 45
3L = 45
L = 45/3
L = 15 ( Length )
L - 2W = 3
15 - 2W = 3
2W = 15 - 3
W = 12/2
W = 6
PointM is the midpoint of AB. if the coordinates of A are (6,-4) and the coordinates of M are (4,2), what are the coordinates of B?
Ok here is the fastest way to do this:
Since M is the midpoint of AB, and the x-value of M is smaller than A, this means that M is to the left of A.
Subtract x-value of M from x-value of A: 6 - 4 = 2
We know that B is also to the left of M. So you subtract 2 from the x-value of M: 4 - 2 = 2
Notice that of the choices below, only one answer has the x-value of 2.
B
Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509
Answer:$96,054,697,990 ”C”
Step-by-step explanation: Calculating the amount taxed from each person in the working population:31.4% × 26450 = $8305.30 per personThe amount of tax collected from the whole population:8305.30 × 11565470 = $96,054,697,990 ⇒ This is the annual tax revenue
The income tax collection by the total population of australia will be $96,054,697,990
What is income tax?
Some amount of our income is charged by the government this amount is called as income tax.
Calculating the amount taxed from each person in the working population:
31.4% × 26450 = $8305.30 per person
The amount of tax collected from the whole population:
8305.30 × 11565470 = $96,054,697,990
The annual tax revenue will be equal to $96,054,697,990
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PLEASE HELP
Two archers are shooting arrows at different targets. First archer's possibility of hitting the target is 0,6. Second archer’ possibility of hitting the target is 0,5. What is the possibility that at least one of them will hit the target.
Answer:
0.8
Step-by-step explanation:
Check the attachment.
82% of £134.18
Give your answer rounded to 2 DP
82 = 0.82 = multiplier
134.18 x 0.82 = 110.0276
= £110.03 (2.d.p)
A clothing store is selling a pair of jeans for $17 and a sweatshirt for $8. Which inequality shows the number of sweatshirts Monique can buy along with one pair of jeans if she has $41 to spend? Assume that there is no sales tax.
Answer:
1 pair of jeans and 3 sweatshirts
Step-by-step explanation:
41-17=24
24/8=3
The inequality shows the number of sweatshirts Monique can buy along with one pair of jeans if she has $41 to spend will be; 17x + 8y ≤ 41
What is inequality?An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.
We are given that clothing store is selling a pair of jeans for $17 and a sweatshirt for $8.
Therefore,
41-17=24
Unit price = 24/8=3
Thus 1 pair of jeans and 3 sweatshirts
The inequality shows the number of sweatshirts Monique can buy along with one pair of jeans becomes as;
17x + 8y ≤ 41
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A ball is thrown from a height of 44 meters with an initial downward velocity of 6 m/s . The ball's height h (in meters) after t seconds is given by the following.
h= 44 - 6t - 5t squared 2
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
Step-by-step explanation:
h = -5t^2 - 6t + 44
I'll assume 0 meters is the ground height. That would mean we want to know the time, t, for h to be = 0 meters:
h = -5t^2 - 6t + 44
0 = -5t^2 - 6t + 44
5t^2 + 6t -44 = 0
Solve using the quadratic equation: 2.43 and - 3.63 seconds. We'll use the positive value: 2.43 seconds for the ball to reach the ground. Save the -3.63 value for the Klingons.
We can also solve by graphing the function, as per the attached image. Note that the starting time of 0 seconds, the ball is at 44 feet. It reaches the x axis at 2.43 seconds (where x = 0, the ground).
Answer:
t = 2.43 s (nearest hundredth)
Step-by-step explanation:
Given equation: [tex]h=44-6t-5t^2[/tex]
where:
h = height (in meters)t = time (in seconds)When the ball hits the ground, h = 0
[tex]\implies 44-6t-5t^2=0[/tex]
[tex]\implies 5t^2+6t-44=0[/tex]
Using the quadratic formula when [tex]ax^2+bx+c=0[/tex] and where:
a = 5b = 6c = -44x = t[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]=\dfrac{-(6)\pm\sqrt{(6)^2-4(5)(-44)}}{2(5)}[/tex]
[tex]=\dfrac{-6\pm\sqrt{916}}{10}[/tex]
[tex]=\dfrac{-6\pm2\sqrt{229}}{10}[/tex]
[tex]=\dfrac{-3\pm\sqrt{229}}{5}[/tex]
[tex]=2.43, -3.63 \ \textsf{(nearest hundredth)}[/tex]
As time is positive, t = 2.43 s (nearest hundredth)
A large box of strawberris vaires in price.the cost of a box is never graeater than or equal to 10$ the lowest price ever reached for the box of strawberries is 5$. write an inquality to show all the possible prices (P) for a box of strawberries
Answer:
10 > P ≥ 5
Step-by-step explanation:
inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions
sine the price can't be greater than or equal to 10$ we set it up 10 is greater than P ( 10 > P )
sine the lowest price ever was 5$ then we know P can't be any lower than 5$ but can still be 5$ so we set up as P is greater than or equal to 5 ( P ≥ 5 )
then to get your answer you just but the two comparisons together ( 10 > P ≥ 5 )
What is the value of angle h? How do you know (what type of angle pairs are they)?
Answer:
can you provide an image?
Step-by-step explanation:
What is the area of triangle ABC?
Answer:
200 sq units
Step-by-step explanation:
As you might know, 3 angles of a triangle adds up to 180*. Since you already know the angles are 60* there is one more 60*. So by this you know that all the sides are equal.
As the given states, one side is 20. So following the standard way to get the area of a triangle b*h/2; 20*20 = 400 / 2 = 200 sq units
4,3,9/4,27/16
what is the 10th term of the sequence
Answer:
This is a sequence, so we have to move forward step by step
Step-by-step explanation:
4,3,9/4,27/16
Because this sequence has no exponential arithmetic or geometry, we perform the sequence with the help of a matrix
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]x = 4.4.4.4.4[/tex]
[tex]x = 4[/tex]
Matrix determinants allowed us to achieve both geometric and arithmetic progression by sequence guidance
The answer is
[tex]x \times y = 144 = 614.88[/tex]
You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?
Using a quadratic function, it is found that:
a) It hits the ground after 2 seconds.
b) Your friend's stick hits the ground 0.83 seconds later.
What is the quadratic function for the projectile's height?It is given by:
[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:
[tex]s(t) = -16t^2 + 64[/tex]
It hits the ground when s(t) = 0, hence:
-16t^2 + 64 = 0
t^2 = 4
t = 2.
It hits the ground after 2 seconds.
Item b:
For your friend, we have that h(0) = 144, hence:
-16t^2 + 144 = 0
t^2 = 8.
t = 2.83.
2.83 - 2 = 0.83.
Your friend's stick hits the ground 0.83 seconds later.
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Choose the appropriate table for the differential equation dy/dx=x+1/x
Answer: 1.
x |0|0.5|2
dy/dx |2|5 |undefined
2.
x |0 |0.5| 2
dy/dx |undefined|5 | 2
3.
x | 0 |0.5|2
dy/dx|undefined |4 |2
Step-by-step explanation:
asey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone?
Tambourine: $13.95Xylophone $23.50
The estimated total to the nearest dollar is $38, so he can afford them.
The estimated total to the nearest dollar is $37, so he can afford them.
The estimated total to the nearest dollar is $36, so he can afford them.
The estimated total to the nearest dollar is $37.45, so he can afford them.
Answer:
I would pick a, the estimated total to the nearest dollar is 38
Step-by-step explanation:
13.95 rounded is 14
23.50 rounded is 24
24+14=38
Amy rolls a 12 sided die numbered from one to twelve.
what is the probability amy rolls a multiple of 4 written
as a percent?
To find the probability, we'll need to find the number of possibilities with an outcome that we want, as well as the total number of outcomes.
Multiples of 4: 4, 8, 12
---There are 3 possibilities
Total outcomes: 12
3 / 12 = 1/4 = 0.25 = 25%
Probability Amy rolls a multiple of 4 = 25%
Hope this helps!
Help me with this please I will give you extra points
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Total outcomes in which Billy can get 5 or more : 2 outcomes
Total outcomes = 6
So, the probability of getting 5 or higher is ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{favorable \: outcomes}{total \: outcomes} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2}{6} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3} [/tex]
Therefore, the correct choice is C
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Help me please I’m struggling with this subject :/
Answer:
I believe the answer is 135 square feet.
Step-by-step explanation:
so 10x12=120. 10x3=30 and you divide the triangle by 2 so 30/2=15. 120+15=135
well, we don't know the cost of the carpet, however hmmm we know the cost of the carpet is 4 bucks per ft², which means we need to know how many ft² the Randall family is going to use in the first place hmmmm, Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=12\\ b=15\\ h=10 \end{cases}\implies \begin{array}{llll} A=\cfrac{10(12+15)}{2} \\\\\\ A=\cfrac{10(27)}{2}\implies A=135~ft^2 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{per~ft^2}{(4)}~~\stackrel{area~in~ft^2}{(135)}\implies \stackrel{\$}{540}\impliedby \textit{total cost}[/tex]
What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π
Step-by-step explanation:
the area of a full circle (360°) is
pi×r² = pi×5² = pi×25
a 40° segment is then just 40/360 = 1/9 of the full circle.
so,
pi×r²×1/9 = pi×25/9 = pi×2.777777777...
so, either there is a mistake in the problem description, or your teacher wants you to cut off the decimals (after the decimal point), in which case D would be the right answer.
since our radius is 5, that makes r² always 25.
there are no integer factors I can divide 25 by to create any of the 4 solutions of 16 or I or 4 or 2.
and there is no integer factor I can divide 360 by to get 25.
so, something is wrong here regarding the problem description. either the radius or the angle or the solution options are wrong and not fitting to each other.
A right triangle has a leg of 17 cm and a hypotenuse of 25 cm. What is the length of the other leg? Round to the nearest tenth.
Answer:
18.3
Step-by-step explanation:
Pythagorean Theorem = a^2 + b^2 = c^2
a, b = legs
c = hypotenuse
17^2 + b^2 = 25^2
b = 18.3
Jean listed the steps involved in the life cycle of a gymnosperm. 1 - The pollen gets stuck in a sticky liquid. 2 - Sperm from the pollen fertilize the egg in the ovule. 3 - The ovule develops into a seed. 4 - When mature, the seeds are dispersed. Which step is missing? Before step 3, the ovule develops cones. Just after step 3, the ovule develops cones. Before step 1, wind carries pollen from the male to the female cones. Just after step 1, wind carries pollen from the male to the female cones
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just after step 3, the ovule develops cones.
Graph the line with the equation y=1/2x+5
Here it is
.,.,.,.,..,.,.,.
Determine if there was a percent increase or decrease in the number of trench coats sold, and by how much. (Round your answer to the nearest tenth. ) a. The percentage of trench coats sold decreased by 0. 8%. B. The percentage of trench coats sold increased by 0. 8%. C. The percentage of trench coats sold decreased by 23. 3%. D. The percentage of trench coats sold increased by 23. 3%.
The percentage of trench coats sold increased by 23. 3%. therefore, option D is correct.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
First, we need to subtract the final from the initial, then divide the difference by the initial, then multiply your answer by 100 to get the percentage
the final is 127, and the initial is 103
127 - 103 = 24
24/103 = 0.233
0.233 x 100
= 23.3%
Thus, The percentage of trench coats sold increased by 23. 3%.
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3x+4y=36
Y=-1/2+8
How do I solve this?
Answer:
x = 2
Step-by-step explanation:
3x+4y=36
Y=-1/2+8
Now we substitute y with -1/2+8.
3x + 4(-1/2+8) = 36
3x + 4(7.5) = 36
3x + 30 = 36
3x = 6
x = 2
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How can you use tables, graphs, and equations to compare functions in everyday life?
Which statements are true for the following expression?
(9 + 1) · 5
Answer:
50
Step-by-step explanation:
add
9 + 1 = 10
multiply
10 * 5 = 50
Answer: 50
There were 6 biscuits in each box. how many biscuits are there in 7 boxes?
There was 42 biscuits in the boxes
Need some help with trinomial
Answer:
(x - 6)(x + 2)
Step-by-step explanation:
assuming you require the trinomial to be factorised.
x² - 4x - 12
consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)
the factors are - 6 and + 2 , since
- 6 × 2 = - 12 and - 6 + 2 = - 4 , then
x² - 4x - 12 = (x - 6)(x + 2)
What time is it on the clock.
Answer:
8:11 o Clock
Step-by-step explanation:
Stay safe, stay healthy and blessed.
Have a good day !
Thank you
Best answer gets brainliest
Answer:
The answer is 30.
Step-by-step explanation:
12+12+6= 30
I got 6 because it shows a semi circle, and half of 12 is 6.
Answer:
30
Step-by-step explanation:
one circle = 12
two circle = 12 × 2 = 24
half circle = 12/2 = 6
so
two circle + half circle = 24 + 6 = 30