Answer:
False
Step-by-step explanation:
a+(-a)=a-a = 0 which means irrational numbers are not closed under addition or subtraction.
False. Irrational numbers are not closed under subtraction.
Given data:
Closure under subtraction means that if you subtract two irrational numbers, the result will always be another irrational number.
However, this is not true for irrational numbers.
For example, consider the irrational numbers √2 and √2 + √2. Both of these numbers are irrational. However, when we subtract √2 from √2 + √2, we get:
(√2 + √2) - √2 = √2
The result, √2, is still an irrational number. But if we subtract two irrational numbers like √2 from √2, we get:
√2 - √2 = 0
The result, 0, is a rational number, not an irrational number.
To learn more about irrational numbers, refer:
https://brainly.com/question/4031928
#SPJ6
if the sides if a square are increased by 3 m, the area becomes 64 m^2. Find the length if a side if the original square
Answer:
5 m
Step-by-step explanation:
Set up an equation using the square area formula, A = s²
Let x represent the original side length:
(x + 3)² = 64
Simplify:
x² + 6x + 9 = 64
Subtract 64 from both sides:
x² + 6x - 55
Factor by finding 2 factors of -55 that add up to 6:
(x + 11)(x - 5) = 0
Solve for the 2 solutions:
x + 11 = 0
x = -11
x - 5 = 0
x = 5
The side length cannot be be negative, so the answer is 5.
The side length of the original square is 5 m.
Satelite Corporation projects a year-end net income of $64,722. The net income represents 40% of its projected annual sales. What are Satelite's projected annual sales?
Answer:
The projected annual sales of Satelite Corporation are $ 161,805.
Step-by-step explanation:
Given that Satellite Corporation projects a year-end net income of $ 64,722, and that the net income represents 40% of its projected annual sales, to determine the amount of the projected annual sales of the company the following calculation must be performed:
40 = 64.722
100 = X
(100 x 64,722) / 40 = X
6,472,200 / 40 = X
161.805 = X
Therefore, the projected annual sales of Satelite Corporation are $ 161,805.
The length of a wall on a picture is 4 inches. The real wall is 72 inches long. What is the scale factor from the picture to the real wall?
(How many times longer is the real wall?)
A.12
B.18
C.20
D.4
Answer:
В. 18
Step-by-step explanation:
72/4=18
I will give brainiest to whoever answers correctly !!
Answer:
$323
Step-by-step explanation:
The bank collected [tex]8\frac{1}{2}[/tex]% on the date of maturity , that represents
[tex]8\frac{1}{2} =\frac{17}{2} =8.5[/tex]
Thus,the bank obtained
[tex]3800.0.085=323[/tex]
The main paid $323 for the use of the money!
PLEASE MARK ME AS BRAINLIEST
Someone pls help me PLSSS
the volume of a hot air balloon is given by V-
If 25 + d = 36, does 25 + d – 25 = 36 – 20? Explain.
Answer:
No
Step-by-step explanation:
One way to solve is to algebraically find what d is and then solve using PEMDAS to see if both sides are equal. However, there is a faster way, this way is to remember the properties of equality. In this case, the subtraction property of equality is especially important. This property tells us that if you subtract the same thing from both sides of the equation then they are still equal. But, in this equation two different constants are being subtracted, 25 and 20, therefore the equation cannot be true.
Please help o..!!!!!!!
Answer:
the third one
Step-by-step explanation:
this is algebra 2, right?
Answer:
x ≠ 17
Step-by-step explanation:
X can be any number besides 17. If it was 17 you would be dividing by 0 which would cause the universe to implode on itself
A pair of tow trucks are pulling on a trailer that is stuck
in mud. The first truck pulls a a pair of tow trucks are pulling on a trailer that is stuck in mud. the first truck pulls with a force of 10,000
pounds at a 110° angle from the second truck, which is
pulling with a force of 7,500 pounds. What is the
magnitude of the resultant force?
9.821 pounds
10,244 pounds
14,405 pounds
24 226 pounds
Answer:
R=10,244 Lb
Step-by-step explanation:
In order to solve this problem, we can start by drawing the situation. (See attached picture).
We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°
In this case we can find the resultant force by using the law of cosines:
[tex]A^{2}=B^{2}+C^{2}-2AB cos \alpha[/tex]
so we can use the data given by the problem:
[tex]R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha[/tex]
so we can solve this for R, so we get:
[tex]R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}[/tex]
now we can substitute:
[tex]R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}[/tex]
which yields:
R=10,244Lb
Answer:b
Step-by-step explanation:
Took the test
The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 10 and 13 minutes
Answer:
37.5%
Step-by-step explanation:
Calculation for the probability that washing dishes tonight will take me between 10 and 13 minutes
Probability of washing dishes=(13minutes-10minutes)/(15minutes-7minutes)
Probability of washing dishes=3 minutes/8 minutes
Probability of washing dishes=0.375*100
Probability of washing dishes=37.5%
Therefore the probability that washing dishes tonight will take me between 10 and 13 minutes is 37.5%
help me plz urgent will give brainliest
Answer:
x = -5
Step-by-step explanation:
[character limit thing]
Step-by-step explanation: x= -5
how are you
Mark me brainliest
Lucas makes a smoothie using the recipe (berries 3/8, mango 1/2, yogurt 3/4 cups), but he also adds almond milk. He makes two 8-fluid ounce servings in all. How much slmond milk does he add? There are 8 fluid ounces in 1 cup.
The quantity of almond milk he added was = -3/8cups
The recipe for the smoothie = berries 3/8, mango 1/2, yogurt 3/4 cups and almond milk (x) cups
The total quantity of smoothie = 2 cup (two 8-fluid ounce servings in all).
That is; 3/8 + 1/2 + 3/4 + x = 2
Making x the subject of formula;
[tex]x = (\frac{3}{8} + \frac{1}{2} + \frac{3}{4} ) - 2[/tex]
LCM of 8, 2 and 4 = 8
[tex]x = \frac{3 + 4 + 6}{8} [/tex]
[tex]x = \frac{13}{8} [/tex]
Therefore, x = 13/8 -2
LCM = 8
X= 13- 16/8
x = -3/8cups
Learn more about LCM here:
https://brainly.com/question/16054958
I am very confused, please help!
Answer:
dk tbh
Step-by-step explanation:
The equation d = 2t^ gives the distance from the start point of a toy boat that starts at rest and accelerates at 4 cm/s2. The equation d = 10t - 8 gives the distance from the start point of a second boat that starts at rest 8 cm behind the first boat and travels at a constant rate of 10 cm/s.
a) By setting the equations equal to each other, you can determine when the cars are the same distance from the start point: 2t2 = 10t - 8. Rewrite the equation so it is equal to 0 on the right hand side of the equation.
b) Factor the expression on the left side of the equation.
c) boats are the same distance from the start point at t = 1 and t = 4. Explain how the factors you found in part b were used to find these two times.
Answer:
Step-by-step explanation:
Given that:
[tex]d = 2t^2[/tex] and [tex]d = 10t - 8[/tex]
If we equate both since they are distances, we have:
[tex]2t^2 = 10t - 8[/tex]
Algebraically, moving the equation to the right side, we get:
[tex]2t^ 2 = 10t -8 \\ \\ 2t^2 -10t +8 =0[/tex]
To factor the equation on the left side:
[tex]2t^2 - 10t + 8 = 0[/tex]
Factor out 2 on the left-hand side:
[tex]2 (t^2 -5t + 4) =0[/tex]
[tex]=2 (t^2 -t-4t + 4)[/tex]
[tex]= 2[t(t-1)-4(t-1)][/tex]
[tex]=2(t-1) (t-4)[/tex]
To determine the time when the two boats have to cover an equal distance:
[tex]2(t -1)(t-4) =0 \\ \\(t-1)(t-4) =0[/tex]
Thus:
[tex]t - 1 = 0 \ or \ t - 4 = 0 \\ \\ t = 1 \ or \ t = 4[/tex]
Question 4 options: Solve for the value of X.
62 = 12 - 5x
Answer: The correct answer is x=-10
Step-by-step explanation:
Just took the test and saw the other persons comment<3
0.512
Write
recurring as a fraction.
Give your answer in its simplest form.
Answer:
[tex]\frac{64}{125} [/tex]
Step-by-step explanation:
[tex]0.512 = \frac{512}{1000} \\ = \frac{128}{250} \\ = \frac{64}{125} [/tex]
CD, CE, DE
DE, CE, CD
CE, CD, DE
CE, DE, CD
WHICH ONE! I WILL MARK U AS BRANILYST
Answer:
The order of the sides of each triangle from shortest to longest.
CE, DE, CDStep-by-step explanation:
Given the triangle CDE
C = 60°E = 85°D = 35°We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
as
angle D=35° < angle C=60° < angle E=85°
It means:
The opposite side of the angle D is the shortest side which is CE.The second-longest side is the opposite of the angle C = 60° which is DE.The opposite side of the angle E i.e. CD is the largest side.Therefore,
angle D=35° < angle C=60° < angle E=85°
CE < DE < CD
Hence, the order of the sides of each triangle from shortest to longest.
CE, DE, CDFrancine has a collection of 25 dolls. If 12% of the dolls are Monster High dolls, how many of the dolls are not Monster High Explain your answer?
9514 1404 393
Answer:
22
Step-by-step explanation:
The number of Monster High dolls is ...
12% × 25 = 3 . . . dolls
The others are not Monster High dolls. Their number is ...
25 -3 = 22 . . . not Monster High dolls
A multiple of a number is the power of a number
Step-by-step explanation:
very unique nice speech for a number lol
Jericho has 32 inches of blue ribbon. He cuts six 3-inch pieces from the original ribbon. How much of the original ribbon is left?
Answer:
14 inches of the original length of ribbon is left.
Step-by-step explanation:
It is given that the total length of ribbon is 32 inches.
It is also given that he cuts six 3-inch pieces from the original length. This means:
6*3 = 18 inches
18 inches are cut from the total length of ribbon.
So the remaining ribbon will be:
= 32-18 = 14 inches
Hence,
14 inches of the original length of ribbon is left.
please help me i don't get this stuff i am only in 6th grade
Answer:
d option when m=4 then a=b
Answer:
Option D.
Step-by-step explanation:
You can do this two ways.
1. You can simplify both expressions.
2(m+m+m)+m = 2*3m+m = 7m
(3+4)m = 7m
Also, you can test each answer. Substitute all the m's for 4s and solve.
A boy purchased (bought) a party-length sandwich 51 in. long. He wants to cut it into three pieces so that the middle piece is 6 in. longer than the shortest piece and the shortest piece is 9 in. shorter than the longest piece. How long should the three pieces be?
The shortest piece has a length of ______ in.
Middle piece has a length of _______ in.
Longest piece has a length of ______ in.
Answer:
Step-by-step explanation:
we have a 51 in sandwich
let a piece be x
we have x= shorter piece
another piece is x+6
another piece (x+6)-9=x-3
x+x+6+x-3=51
3x=51-3
3x=48
x=48/3=16
x=16, longer piece is 16+6=22, shorter piece =10
It is believed that 36% of the US population has never been married, 32% are divorced, 27% are married, and 5% are widowed. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference
Answer: the smallest number of people required for the sample to meet the conditions for performing inference is 100
Step-by-step explanation:
Given that;
36% of US population has never been married
32% are divorced
27% are married
5% are widowed
Taking a simple random sample of individuals to test this claim;
we need expected count in each cell to be at least 5, here the smallest proportion is 5% = 0.05
so we only need to satisfy condition for its expected count;
n × 0.05 ≥ 5
n = 5 / 0.05 = 100
Therefore the smallest number of people required for the sample to meet the conditions for performing inference is 100
At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be twice as long as its width. A maximum of 150 ft of fencing is available for the border. Write and solve an inequality that describes possible widths of the garden.
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Round 18.367 to the nearest hundredth
Answer:
Round 18.367 to the nearest Hundredth
= 18.37
Step-by-step explanation:
Hope that helps
Please help marking the smartest answer
The slope of a line through the points (-2, 4) and (6, b) is -3/4 What is the value of b?
9514 1404 393
Answer:
-2
Step-by-step explanation:
The slope formula can be used. Fill in the given information and solve for b.
m = (y2 -y1)/(x2 -x1)
-3/4 = (b -4)/(6 -(-2))
-6 = b -4 . . . . . . multiply by 8
-2 = b . . . . . . . . add 4
The value of b is -2.
Graph a line that contains the point (-2,7) and has a slope of 4.
Plz help plzzz
Answer:
The line would be (-2,7) through (-1, 11 )
Step-by-step explanation:
You have to increase y by 4 and x by 1 to make the slope 4/1 or 4.
Write the expression nine divided by the quantity of x plus y
9514 1404 393
Answer:
[tex]\text{A)}\quad\dfrac{9}{x+y}[/tex]
Step-by-step explanation:
In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...
[tex]\dfrac{9}{x+y}[/tex]
When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:
9/(x+y)
These expressions match the first choice, A.
A train is pulling 14 cars. Each car can hold 17 boxes of freight. There are 94 boxes in the cars already. How many more boxes can the train hold? Please help I need answers FAST
Answer:
Each pull cart can hold 5 9/17
I think...
Step-by-step explanation:
Answer:
It can hold 144 more boxes
Step-by-step explanation:
17*14=238
238-94=144 boxes
