Solution :-
First of all we have to find out the least common multiple of the given three numbers.
27 , 30 and 45
27 = 3 x 3 x 3
30 = 2 x 3 x 5
45 = 3 x 3 x 5
Form these factors we have to find the numbers which are common in all the three .
LCM = 2 x 3 x 3 x 3 x 5 = 270 .
Now 270 is completely divisible but the number which we want leaves 3 as remainder.
So adding 3 in 270 .
→ 273 is the required answer.
14 + 19 = 313
25 + 13 = 328
7 + 18 = 235
10 + 40 = ?
Answer:
540
Step-by-step explanation:
since that the first is 14+19 and they are just adding 4+9 which is 13 so, the last is just a 3, and 1+1 is 2, plus the 1 that we have from the 13, then, you just add 1 on the Middle.
With 25+13 also you add normally, just add a 2 on the middle. And With the 3rd one add a 3 on the middle. So, with the last one, you add a 4 too.
The function h(t) --4.922 +17.69+575 is used to model the height of an object being tossed from a tall building, where h(t) is
the height in meters and t is the time in seconds. What are the domain and range? Round to the nearest hundredth.
domain: [0, 12.76]
range: (1.80, 590.90)
domain: [1.80,12.76]
range: [1.80, 590.90)
domain: [1.80,12.76]
range: [0, 590.90]
domain: [0, 12.76]
range: [0,590.90]
Answer:
Domain: [0, 12.75]
Range: [0, 590.9]
Step-by-step explanation:
Your function is missing variables.
I think you mean
h(t) = -4.922t^2 + 17.69t + 575
as the function.
We can find the time the object hits the ground. At that time, h(t) = 0, so we set the equation equal to zero and solve for t.
-4.922t^2 + 17.69t + 575 = 0
[tex] t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] t = \dfrac{-17.69 \pm \sqrt{(-17.69)^2 - 4(-4.922)(575)}}{2(-4.922)} [/tex]
[tex] t = \dfrac{-17.69 \pm \sqrt{11633.54}}{-9.844} [/tex]
t = -9.16 s or t = 12.75 s
According to the parabola that is the path of the falling object, the object is at zero height at t = -9.16 s and t = 12.75 s. Since the object starts moving at time t = 0, the domain has to be limited to t = 0 till t = 12.75 s.
Domain: [0, 12.75]
The range is the height of the object. Maximum height occurs at the time that is the midpoint of the two times the parabola shows h(t) = 0.
tmax = (-9.16 + 12.75)/2 = 1.797
Now we use the time of maximum height to find the maximum height.
h(t) = -4.922t^2 + 17.69t + 575
h(tmax) = -4.922(1.797)^2 + 17.69(1.797) + 575
h(tmax) = 590.9
The maximum height is 590.9 m.
Range: [0, 590.9]
How can I doo hard math level
Answer:
You can learn math by
Step-by-step explanation:
practicing and remember not to overwork yourself
Nswer two questions about Systems A AA and B BB: System A AA start text, end text System B BB { − 3 x + 12 y = 15 7 x − 10 y = − 2 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ −3x+12y=15 7x−10y=−2 { − x + 4 y = 5 7 x − 10 y = − 2 ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ −x+4y=5 7x−10y=−2 1) How can we get System B BB from System A AA? Choose 1 answer: Choose 1 answer: (Choice A) A Replace one equation with the sum/difference of both equations (Choice B) B Replace only the left-hand side of one equation with the sum/difference of the left-hand sides of both equations (Choice C) C Replace one equation with a multiple of itself (Choice D) D Replace one equation with a multiple of the other equation
Answer:
(Choice C) C Replace one equation with a multiple of itself
Step-by-step explanation:
Since system A has the equations
-3x + 12y = 15 and 7x - 10y = -2 and,
system B has the equations
-x + 4y = 5 and 7x - 10 y = -2.
To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).
So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)
So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.
So, choice C is the answer.
We replace one equation with a multiple of itself.
Answer:
it is c and yes
Step-by-step explanation:
I got it in khan academy
what is the slope of the line y = - 5/4x - 5 ?
Answer:
-5/4
Step-by-step explanation:
Slope is rise over run which means that the -5 will apply to your y values and the 4 will apply to your x values. This slope would have a point move down 5 units and to the right 4 units to get the location of the next point when going left to right. Because the slope contains a negative, the slope will be angled downward left to right. The negative only applies to the 5.
Hello, I hope you are having a splendid day. :)
The slope of this line is -5/4.
This equation is written in slope-intercept form, which looks like this:
y=mx+b
Where
m is the slope and b is the y-intercept.
So the slope is the number before x (in y=mx+b form).
The number before x is -5/4.
Therefore, -5/4 is the slope. Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
Good luck.
Sherrie measured the amount of rain received each day over the last two weeks results, in inches, are
0.57,0840.73, 008,0,001,180, 0.85,0,0,0,0.18.0.240.64
What is the average amount of rainfall (rounded to the nearest hundredth of an inch) received each day over this two
week period?
Add every decimal, then divide by 14 (two weeks, 7 days, total of 14 values), and the closest you get is 0.42.
Three pizzas are being split amongst friends. Everyone will get 1/4 of a pizza. How many friends can eat pizza? Help ASAP, ill give brainlist to first answer
Answer:
12 friends
Step-by-step explanation:
If we have 3 pizzas, each cut into slices of [tex]\frac{1}{4}[/tex], then we have a total of [tex]3 \div \frac{1}{4} = 3\cdot\frac{4}{1} = 12[/tex] slices.
This means that 12 friends can share the 3 pizzas.
Hope this helped!
Answer:
12 people
Step-by-step explanation:
If everyone is getting 1/4 of the pizza then that means there are 4 slices in each pizza
Giles is searching for a sock and he discovers he has 10 socks for every 5 pair of shoes.If he has 20 socks, how many pairs of shoes does he have
Answer:
10
Step-by-step explanation:
Answer:
10 shoes
Step-by-step explanation:
Step 1: State what is known
Giles has 10 socks for every 5 pairs of shoes
He has 20 socks
Step 2: Set up the ratio
Let 'x' represent how much shoes Giles has
10 socks : 5 shoes
20 socks : x shoes
Step 3: Convert ratio into fraction
[tex]\frac{Socks}{Shoes}[/tex]
10 socks : 5 shoes = [tex]\frac{10}{5}[/tex]
20 socks : x shoes = [tex]\frac{20}{x}[/tex]
Step 4: Set ratio equal to each other and solve
[tex]\frac{10}{5}=\frac{20}{x}\\ 10x = 100\\\frac{10x}{10}=\frac{100}{10}\\x = 10[/tex]
Therefore Giles has 10 shoes when he has 20 socks
Find the base length for a triangle that has an area of 120m2 and a height of 12m. Thank you
Answer:
B=20m
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
The area of a triangle is calculated by multiplying height to the base and that divided by two
b × h ÷ 2 = 120
b × h = 240
b × 12 = 240
b = 20
solve on y: 3y+5/2y+1 = 2/6
Answer:
y = 4
Step-by-step explanation:
Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation.
-5 + 3y + -2y = -1 + 2y + -2y
Combine like terms: 3y + -2y = 1y
-5 + 1y = -1 + 2y + -2y
Combine like terms: 2y + -2y = 0
-5 + 1y = -1 + 0
-5 + 1y = -1
Add '5' to each side of the equation.
-5 + 5 + 1y = -1 + 5
Combine like terms: -5 + 5 = 0
0 + 1y = -1 + 5
1y = -1 + 5
Combine like terms: -1 + 5 = 4
1y = 4
Divide each side by '1'.
y = 4
Simplifying
y = 4
Please help a girl out I’m honestly extremely slow
First, reorder the numbers so they go from least to greatest. It should look like this:
-11, -9, -6, 0, 2, 18, x, 20, 36, 37, 46, 47, 51.
Mean: 19.25
The mean is the average. To find it, add all numbers together and divide by how many numbers there are.
Median: 19
The median is the center number in the ordered line of numbers. I added a bolded variable (x), so you can see where it is. Because it's between two numbers, add those numbers and divide by 2.
Mode: N/A
There's not a mode. A mode is a repeating number in the sequence.
Range: 62
Range is the difference between the largest and smallest number.
[tex]51 - ( - 11) = 62[/tex]
47.)
The range is larger than the highest temperature because the temperature values are both positive and negative. Due to this, the smallest number (-11) becomes positive as the negative sign is distributed to it and adds to the largest number (51).
48.)
Again, mean is the average. Add all values together and divide by the number of values there are.
[tex] = \frac{( - 11) + ( - 9) + ( - 6) + 0 + 2 + 18 + 20 + 36 + 37 + 46 + 47 + 51}{12} [/tex]
[tex] = \frac{231}{12} [/tex]
[tex] = 19.25[/tex]
Write the expressions for the following situations. The difference of 15 and 4 times a number I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expression to represent this scenario.
Answer:
The difference of 15 and 4 times a number4a - 15
I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount.100% representate the original cost of tikets,
100% = 100/100 = 1
12% discont:
12% = 12/100 = 0.12
1 - 0.12 = 0.88
0.88
then the expressión is:
4*0,88d
=3.52 d
d = original cost of each ticket
Help me
Please !! :/
Answer:
The area is 10 cm².
Step-by-step explanation:
The area of a triangle is 1/2 * bh where b = base and h = height. We know that b = 4 and h = 5 so the area is 1/2 * (4 * 5) = 1/2 * 20 = 10 cm².
what is the algebraic expression for 11 more than twice a number x
Answer:
11+2x
Step-by-step explanation:
Answer:
2x + 11
Step-by-step explanation:
"twice a number x": Multiply the variable x with 2 ⇒ 2x
"11 more than...": Add 11 ⇒ + 11
Combine the two terms:
2x + 11 is your answer.
~
how to slove -10 -1 need help
Answer:
-10 - 1 = x
Step-by-step explanation:
If you take -10 and subtract one, it makes the number go down lower because it's negative (example, 12 - 2 is -14)
CAN ANYONE ANSWER THIS I WILL GIVE BRAINLIEST! 13
Answer:
option 4
Step-by-step explanation:
so first you would simplify to x>-6 and since there is no line under the greater then it would be and open circle and it is shading to the right because of the greater than symbol and if would start of -6 so option 4 is the correct answer
Answer:
Draw an open circle on-6 and shade to the right.
Step-by-step explanation:
Simplify the inequality, so it looks like this: x > −6When the inequality symbol doesn't have a line under it like these do, ≤ and ≥, then it's an open circle, rather than a closed one on a number line.The last option would be the correct one because it says open circle and -6 like we said in step 1 and 2.At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is wrapped in a special reflective material to keep it from melting before the competition starts. 1.1 0.8 1.3
Complete question :
At an ice carving competition, each carver starts with a block of ice with the dimensions shown. The block is wrapped in a special reflective material to keep it from melting before the competition starts. The side lengths of the block are 1.1, 0.8, 1.3. How much reflective material is needed to cover the block completely, without any overlaps?
Answer:
6.7 unit^2
Step-by-step explanation:
Taking the dimension of the ice block as :
1.1 by 0.8 by 1.3
The total reflective material which will used to cover the ice block must have the same surface area as the ice block.
Shape of ice block = rectangular prism.
Taking the surface area if a rectangular prism :
Using the relation :
2(lw * lh * wh)
Where l = Length = 1.1
Width w = 0.8
Height h = 1.3
Therefore,
2[(1.1*0.8) + (1.1*1.3) + (0.8*1.3)]
2[(0.88) + (1.43) + (1.04)]
2(3.35)
= 6.7 unit^2
Reflective material should be 6.7 unit^2
The total reflective material required is 6.7 square units
What is a surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.
Given that:-
The dimensions of the ice cube are 1.1 by 0.8 by 1.3The total reflective material which will be used to cover the ice block must have the same surface area as the ice block.
The shape of the ice block = is a rectangular prism.
Taking the surface area of a rectangular prism by using the relation :
SA = 2( lw x lh x wh )
Where l = Length = 1.1
Width w = 0.8
Height h = 1.3
Therefore,
SA = 2 [(1.1 x 0.8) + (1.1 x 1.3) + (0.8 x 1.3)]
SA = 2 [ (0.88) + ( 1.43 ) + ( 1.04 ) ]
SA = 2 ( 3.35 )
SA = 6.7 square units
Therefore the Reflective material should be 6.7 square units
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You invest 5000 dollars in an account at 1.6% interest is compounded annually (once a year) a) write an equation that shows the amount of money you have after x years b) How much money would you have after 15 years
Answer:
a. P= 5000( 1.016)^x
b. $ 6344.18
Step-by-step explanation:
The equation for finding the compound interest annually is
P = P_1 ( 1 +r)^t
Here
P = the amount after the interest has been added or the new balance
P_1= the principal amount
r= rate at which interest is charged
t= time in years
So we have
P = the new balance
P_1= the principal amount= $ 5000
r= rate at which interest is charged= 1.6 %
t= time in years= x
Putting the values in the above equation
P = P_1 ( 1 +r)^t
P = 5000 ( 1+ 1.6/100) ^x
P= 5000( 1.016)^x
b) When t= 15
Again
Putting the values in the above equation
P = P_1 ( 1 +r)^t
P = 5000 ( 1+ 1.6/100)^15
P = 5000( 1.26883637) = 6344.18185= $ 6344.18
What is the minimum value of the objective function, C with given constraints? C=5x+6y ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪2x+y≤83x+4y≤17x≥2y≥1
Answer:
The answer is 16
Step-by-step explanation:
I did the test
Answer:
Answer is 16
I just did the test its right i swear.
In a basketball game, one team's score is two points less than half the other team's score, which is x. What is the difference in the score?
Answer:
1/2x +2
Step-by-step explanation:
Let's say there are 2 teams : A & B
A leads with x points, while B score 2 points less than half of B's score (x)
B = 1/2 of B score - 2
The difference of A - B = x - (1/2x - 2) = x - 1/2x + 2 = 1/2x + 2
The required difference in score is 1/2x + 2.
Given that,
In a basketball game, one team's score is two points less than half the other team's score, which is x. What is the difference in the score is to be determined.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Let the score of the second team be x,
One team's score is two points less than half the other team's score
= 1/2x - 2
Difference of the score = x - (1/2x - 2)
= x -1/2x +2
= 1/2x + 2
Thus, the required difference in score is 1/2x + 2.
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4[5-8(4c-3)]=12(1-13c)-8
[tex]\boxed{c = -4}[/tex]
First, we will use the distributive property (order of operations) to simplify the equation:
(4)(5) + (4)(−8(4c−3)) = (12)(1) + (12)(−13c)+ (−8) =
20 + (−128c) + 96 = 12 + (−156c)+ (−8)
Now, we will combine like terms to simplify the equation:
(−128c) + (20 + 96) = (−156c) + (12+ (−8) =
−128c + 116 = −156c + 4
Now we will add 156 to both sides, using inverse operations.
−128c + 116 + 156c = −156c + 4 + 156c =
28c + 116 = 4
Now we will subtract 116 from both sides:
28c + 116 − 116 = 4 − 116 =
28c = −112
Lastly, we will divide both sides by 28:
28c/28 = c
-112/28 = -4
The equation now looks like:
c = -4
Therefore, your answer is -4.
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------
Answer: [tex]\boxed{c = -4}[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]4(5-8(4c-3))=12(1-13c)-8[/tex]
Use the distributive property to multiply −8 by 4c − 3.
[tex]4(5-32c+24)=12(1-13c)-8[/tex]
Add 5 and 24 to get 29.
[tex]4(29 - 32c)=12(1-13c)-8[/tex]
Use the distributive property to multiply 4 by 29 − 32c.
[tex]116-128c=12(1-13c)-8[/tex]
Use the distributive property to multiply 12 by 1 − 13c.
[tex]116-128c=12-156c-8[/tex]
Subtract 8 from 12 to get 4.
[tex]116-128c=4-156c[/tex]
Add 156c to both sides.
[tex]116 - 128c+156c=4[/tex]
Combine −128c and 156c to get 28c.
[tex]116+28c=4[/tex]
Subtract 116 from both sides.
[tex]28c=4-116[/tex]
Subtract 116 from 4 to get −112.
[tex]28c=-112[/tex]
Divide both sides by 28.
[tex]c=\frac{-112}{28}[/tex]
Divide −112 by 28 to get, you guessed it, -4!For a 180° rotation about the origin, write the coordinates of each point in the table.
Answer:
Hey, you don't include any points, but I can give you the rule for an 180 degree rotation.
You just need to write the same points, but negative. So going from (x,y) to
(-x,-y).
As an example let's say you wanted to rotate (3,-4) 180 degrees about the origin. The the point after the rotation would be (-3,4).
Hope that helps!
identify the correct reason for the second node
A. Reflection
B. Definition of midpoint
C. Definition of congruent segments
I think your teacher meant to say Reflexive property instead of reflection. The reflexive property is the idea that any segment is the same length as itself. It seems like a trivial idea, but it's useful to be able to pull triangles apart like in this problem here.
Note: when naming a segment, the order of the endpoints listed doesn't matter. So that's why EU is the same as UE.
a printer can print 12 pages in 9 seconds. what’s the closest estimate of the number of pages it can print in one minute?
reduce the following rational expression to lowest terms if possible -60/-48 Please answer me fast Will mark as a brainlist ✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️
Answer:
5/4
Step-by-step explanation:
-60/-48
factor the expression
(-15)(4)/(-12)(4)
cancel out 4
-15/-12
divide by -3
=5/4
What two numbers multiply to 36 and add up to -20?
Answer:
-2 and -18
Step-by-step explanation:
It is useful to consider the factors of 36:
36 = (-1)(-36) = (-2)(-18) = (-3)(-12) = (-4)(-9) = (-6)(-6)
The sums of these factor pairs are -37, -20, -15, -13, -12.
The factor pair of interest is -2 and -18.
Write the expression in simplest form.
Answer:
8
Step-by-step explanation:
(-11x/2 + 3) -2(-11x/4 -5/2)
= -11x/2 + 3 -(2*-11x/4) -(2*-5/2)
= -11x/2 + 3 -(-22x/4) -(-5)
= -11x/2 + 3 +22x/4 + 5
= -22x/4 + 22x/4 + 3 + 5
= 0 + 8
= 8
The value of the simplified expression is 8.
We have,
(-11/2 x + 3) - 2 (-11/4 x - 5/2)
To simplify the expression ((-11/2)x + 3) - 2((-11/4)x - 5/2), distribute the -2 to each term within the second set of parentheses and then combine like terms.
((-11/2)x + 3) - 2((-11/4)x - 5/2)
= (-11/2)x + 3 - 2 x (-11/4)x - 2 x (-5/2)
= (-11/2)x + 3 + (11/2)x + 5
= (-11/2)x + (11/2)x + 3 + 5
Combine like terms.
= 3 + 5
= 8
Therefore,
The simplified expression is 8.
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Can somebody please plot the linear relationship?
Answer:
First, we put a point on y-axis = 2
Next, we go 2 spaces down and 1 space right
Then draw a line attaching the two points
Answer:
we put a point on y-axis = 2
we go 2 spaces down and 1 space right
Then draw a line attaching the two points
Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy compared to that of Triangle A
Answer:
Copy's area is 16 times bigger then triangle area.
Step-by-step explanation:
Given:
Area of copy = 72 unit²
Find:
How bigger copy compared to triangle
Computation:
Area of triangle = [1/2][base][height]
Area of triangle = [1/2][3][3]
Area of triangle = 4.5 unit²
So.
Area of copy / Area of triangle
72 / 4.5
16
So,
Copy's area is 16 times bigger then triangle area.
3 + 5x-2
I’m trying to combine like terms
Answer:
1 + 5x
Step-by-step explanation:
Like terms are terms with the same variable parts.
Let's look at each term:
3 it has no variable
5x it has the variable x
-2 it has no variable
The terms 3 and -2 have no variables, so their variable parts are the same. They are like terms and can be combined. The term 5x has the variable part x. There is no other term with the same variable part as 5x, so 5x cannot be combined with anything.
3 + 5x - 2 =
= 3 - 2 + 5x
= 1 + 5x