Answer:
5/10 or 1/2
Step-by-step explanation:
5-4 is 1, and 1 squared is still 1.
the cube root of 27 is 3
7 to the 0 power is 1
1 + 3 + 1 is 5
5 over 10 is 1/2
Answer:
1/2
Step-by-step explanation:
(5-4)²+∛27+[tex]7^{0}[/tex]
1²+∛27+[tex]7^{0}[/tex]
1+∛27+[tex]7^{0}[/tex]
1+3+[tex]7^{0}[/tex]
1+3+1
4+1
5/10=1/2
A technical machinist is asked to build a cubical steel tank that will hold 60L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.01m.
Answer:
L= 7.75 mStep-by-step explanation:
This problem bothers on the mensuration of solids, cube
Step one:
The volume of the tanks will hold 60L of water
hence the volume of the tank is 60L
we know that the expression for the
volume of cube = L*L*L
Volume of cube = L^3
60= L^3
L= √60
L= 7.7459
To the nearest 0.01m we have L= 7.75 m
Solve the problem 3d+8=2d-17
Select all the true statements about the number
Answer:
sqrt of 3600 is a perfect square and sqrt of 3600 is a whole number. It is also Rational.
Step-by-step explanation:
We can compute the sqrt of 3600 (60). 60 is a whole number.
As we saw sqrt of 3600 is 60 so it is a perfect square.
60 is also a rational number too.
[tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.
What is a number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth.
Now the given number is,
⇒ [tex]\sqrt{3600}[/tex]
So, the square root of 3600 is 60.
Now, since 60 can be expressed in the form of a/b.
Thus [tex]\sqrt{3600}[/tex] is a rational number.
Since, [tex]\sqrt{3600} = [\sqrt{60} ]^2[/tex]
Thus, [tex]\sqrt{3600}[/tex] is perfect square.
Since, [tex]\sqrt{3600} =60[/tex]
Thus it is a whole number.
Therefore we can conclude that [tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.
To learn more about numbers :
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Kathy's average score after 3 math quizzes was 83. Her score on the 4th quiz was 87. If all 4 of the quizzes are weighted equally, which of the following is closest to her average score after 4 quizzes?
Answer:
84
Step-by-step explanation:
Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.
83+83+83+87 = 336
Divide by the total number of quizzes because they are equally weighted.
336/4 = 84
Her new average score is 84.
simplify it
1. 30.75
2. 33.25
3. 21.75
4. 26.35
pls show me how to simplify it. clearest gets the crown thingy I forgot the name of
Answer:
2. 33.25
Step-by-step explanation:
In order of operations you start with the part of the equation that is in parentheses. So here you would start with 8.7+4.6. Now whenever there is a number just sitting outside the parentheses, you multiply it by the numbers inside of the parentheses. So in this case, once you've added 8.7 and 4.6, you multiply your answer by 2.5 (which is outside of the parentheses. Here is the solving process:
2.5(8.7+4.6)
2.5(13.3)
33.25
Ben earns $12 per hour and get $6 a day for gas. How many hours did he work if he earned $54 in a day?
Answer:
4
Step-by-step explanation:
$54-$6=$48
$48/4h=12$/h
Answer:
he had to worked 4 hours
Simplify 4\2-root 2 + 5 \root 2-1
Answer:
Step-by-step explanation:
Use FOIL method
[tex](\sqrt{2} -1)(2-\sqrt{2})= \sqrt{2}*2 -\sqrt{2}*\sqrt{2} -1*2-1*(-\sqrt{2})\\\\\\=2\sqrt{2} - 2 -2 +\sqrt{2}[/tex]
Combine like terms
[tex]=2\sqrt{2} +\sqrt{2} - 2 -2\\\\\\=(2+1)\sqrt{2} - 4\\\\\\=3\sqrt{2}-4[/tex]
[tex]\frac{4}{2-\sqrt{2}}+\frac{5}{\sqrt{2} -1}=\frac{4*(\sqrt{2} -1)}{(2-\sqrt{2})*(\sqrt{2} -1)}+\frac{5*(2-\sqrt{2})}{(\sqrt{2} -1)(2-\sqrt{2})}\\\\\\=\frac{4\sqrt{2}-4+10-5\sqrt{2}}{(\sqrt{2} -1)(2-\sqrt{2})}[/tex]
[tex]=\frac{4\sqrt{2}-5\sqrt{2}-4+10}{3\sqrt{2}-4}\\\\\\=\frac{(4-5)\sqrt{2}+6}{3\sqrt{2}-4}\\\\\\=\frac{-1\sqrt{2}+6}{3\sqrt{2}-4}[/tex]
What is the solution to this equation?
X + 14 = -6
O A. x= -8
O B. x = 20
O C. x = 8
O D. X= -20
SUBMIT
Answer:
x+14=-6
x= -6 - 14
x= - 20
You know that a rope is no more than 150 feet long. You need to cut the rope into 3 pieces.
The second piece is to be twice as long as the 1s piece, and the third piece must be 30 feet long.
What is the maximum length of the 2nd piece?
Answer:
80 ft
Step-by-step explanation:
hey there,
< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.
Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.
We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >
Hope this helped! Feel free to ask anything else.
Which reflection requires a vertical flip?
Answer:
horizontal flip
Step-by-step explanation:
Answer:
For a vertical flip to happen the reflection must be a horizontal flip.
help solve my problem plsss
Answer:
21 because 7x3 would give you the value of x
Step-by-step explanation:
can some one plz help again?
Answer:
Associative property of addition
Step-by-step explanation:
How many solutions does the following equation have ? -3x+9-2x=-12-5x−3x+9−2x=−12−5xminus, 3, x, plus, 9, minus, 2, x, equals, minus, 12, minus, 5, x Choose 1 answer: Choose 1 answer: (Choice A) A No solutions (Choice B) B Exactly one solution (Choice C) C Infinitely many solutions
Answer:
exactly one solution
Step-by-step explanation:
HOPE THIS HELPS!!!!! :)
<3333333333
Answer: It has (No) solutions, A
Hope this helps!
solve for x
x − 13 = 6x
x =
Answer:
The correct answer is x = -13/5.
Step-by-step explanation:
To solve this problem, we need to bring all of the x terms to one side of the equation and all of the constant terms to the other side of the equation.
First, we should subtract x from both sides to cancel out the positive x on the left side of the equation. This is modeled below:
x - 13 = 6x
x - x - 13 = 6x - x
- 13 = 5x
Next, we should divide both sides by 5 in order to get the variable x completely isolated on the right side of the equation.
-13/5 = 5x/5
-13/5 = x
Therefore, your answer is x = -13/5.
Hope this helps!
You can buy a car for $5995.67 cash or pay $759.00 as a down payment and $129.95 a month for 4 years. How much more does the installment plan cost than paying cash?
A. $1000.93
B. $241.94
C. $507.43
D. $2475.27
E. $99.27
Answer: B: 241.93*
Step-by-step explanation:
4•12=48
129.95•48= 6237.60
6237.60 - 5995.67 = 241.93
Add 3/4 + -2 1/2 wwwwwwwwwwwwwwwhhhhhhhhhhhhhaaaaaaaattttttttttt
Answer:
- 1 3/4
Step-by-step explanation:
3/4 + -2 1/2
Get a common denominator of 4
3/4 - 2 1/2 *2/2
3/4 - 2 2/4
Rewriting
Subtracting since the signs are different and take the signs of the larger
2 2/4 - 3/4
Borrow from the 2
1 + 4/4 + 2/4 - 3/4
1 6/4 -3/4
1 3/4
The sign of the larger was negative ( 2 1/2)
- 1 3/4
which statement is an example of the Identify Property of Multiplication
Answer:
7x7 + 49 so 7+7+7+7+7+7+7
Step-by-step explanation:
A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second four months. how many pounds did the baby gain in the last four months?
Answer:
3.25 pounds
Step-by-step explanation:
x + 4 (1/2) + 3 (1/2) = 11
x + 4.25 + 3.5 = 11
x + 7.75 = 11
x = 11 - 7.75
x = 3.25 pounds
Wahts the permiter I will mark braknliest
Answer:
221 cm
Step-by-step explanation:
perimeter = add all sides
P = 56 + 73 + 92
P = 221 cm
Answer:
221 centimeters
Step-by-step explanation:
When you solve perimeter, you add all sides.
92 + 73 = 165
165 + 56 = 221
So, your answer is 221. Hope this helps!
what is the equation of the line that passes through the point (-2,0) and has a slople of -2
Answer:
y= -2x-4
Step-by-step explanation:
[tex] (-2,0) = (x_1,y_1) \\ m = - 2[/tex]
Substitute values into point slope form
[tex]y - y_1 = m(x - x_1) \\ y - 0 = - 2(x - ( - 2)) \\ y - 0 = - 2(x + 2) \\ y - 0 = - 2x - 4[/tex]
[tex]y = - 2x - 4 + 0 \\ y= - 2x - 4[/tex]
Solve the equation for m.
mp + mz=r
Answer:
Value of m = r / [p + z]
Step-by-step explanation:
Given:
Equation:
mp + mz = r
Find:
Value of m
Computation:
⇒ mp + mz = r
⇒ m [p + z] = r
⇒ m = r / [p + z]
Value of m = r / [p + z]
is 4/5 a integer natural number rational number or irrational number
Answer:
Rational number
Step-by-step explanation:
An integer can not be a fraction or decimal.
A natural number is a counting number and fractions are not counting numbers.
Irrational numbers are never ending and can not be written as a simple fraction.
Clare is 5 years older than her cousin.
cousin
How old would Clare be if her cousin is:
A. 10 years old?
B. 2 years old?
C. 2 years old?
Clare is 12 years old. How old is Clare's cousin?
Answer:A=15 B=7 c=7 Clare's cousin is7
Step-by-step explanation:
Estimate: 4.1 * 7.8 *2.3
Answer:
4.1 * 7.8 *2.3=73.554
Step-by-step explanation:
4.1
7.8
2.3
73.554
Or use a calculator
Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
2/3n = -12
n =
Answer:
-1/18
Step-by-step explanation:
2/3n = -12
2 = -12 × 3n
2/-12 = 3n
-1/6 = 3n
or,
-1/6×3 = n
-1/18 = n
CHECK:
2/3n = -12
2/3(-1/18) = -12
2/(-1/6) = -12
2×6/-1 = -12
-12 = -12
n = -18 will make the equation true.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given the equation,
2/3n = -12
Multiply both sides by 3/2
(2/3) × (3/2)n = -12(3/2)
n = -6 × 3
n = -18
Hence "n = -18 will make the equation true".
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Thunder from a bolt of lightning travels 110 mile in 12 second. At this rate, how many miles can it travel in one second? __ mile in one second
Plz answer quickly 50 points
Answer:
arc AB = 44.5
Step-by-step explanation:
arc length AB = (Ф /360) * 2πr
Ф = 150°
r = 34/2 = 17 cm
plug in values
arc AB = (150/360) * 2 * π * 17
arc AB = 44.5
Answer:
[tex]\Huge \boxed{\mathrm{44.51 \ centimeters}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Length of an arc formula:
[tex]\displaystyle \frac{\theta }{360} \cdot \pi d[/tex]
The angle formed at the centre is 150 degrees.
The diameter of the circle is 34 centimeters.
[tex]\Longrightarrow \displaystyle \frac{150}{360} \cdot \pi (34)[/tex]
[tex]\Longrightarrow \displaystyle \frac{85}{6} \pi[/tex]
[tex]\Longrightarrow 44.505896...[/tex]
The length of arc AB is 44.51 centimeters approximately.
[tex]\rule[225]{225}{2}[/tex]
Eight car dealerships reported the number of cars they sold last month. Car Dealership Number of Cars Sold GMC 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72 What is the interquartile range of this set of data? 5 7.5 12.5 23
Answer:
10.75Step-by-step explanation:
Interquartile R range of an ungrouped data is expressed as R = Q3-Q1 where;
Q3 is the third quartile
Q1 is the first quartile
Given the Car Dealership Number of Cars Sold GMC as 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72
First let us arrange them in ascending order;
72, 80, 81, 84, 92, 92, 94, 95
Q3 = 3(n+1)/4 th observation where n is the total number of cars
Q3 = 3(8+1)/4 = 27/4
Q3 = 6.75th observation
Q3 = 6th obsrvation - 0.75(7th observation - 6th observation)
Q3 = 92-0.75(94-92)
Q3 = 92-0.75(2)
Q3 = 90.5
The 6.75th observation of the data is 90.5
Q1 = (n+1)/4 th observation where n is the total number of cars
Q1 = (8+1)/4 = 9/4
Q1 = 2.25th observation
Q1 = 2nd observation - 0.25(3rd observation - 2nd observation)
Q1 = 80-0.25(81-80)
Q1 = 80-0.25(1)
Q1 = 79.75
Interquartile range = Q3 - Q1
Interquartile range = 90.5 - 79.75
Interquartile range = 10.75
Answer:
the answer is 12.5
Step-by-step explanation: i got it right on edge. :)
20 points to brainliest!! (this is a french question) Im going to put this as math lol
Answer:
part 1: the french distinguish friends by using un ami for boys. they use une ami for girls, and des amis for friends. they distinguish best friends by saying un meilleur ami for boys, une meillure amie for girls, and des meilleures amies (or des meilleurs amis depending on the gender) for best friends.
part 2: they also use ami for friends (obviously) and connaissance for acquaintances.
Step-by-step explanation:
what is the value of x and what is the value of y please help ill give u a really good score
Answer:
bottom lock: 30lb. top lock: 66
Step-by-step explanation:
the x=9 and the y=3 so do order of operations. (9x2)+(3x4), then 18+12=30. 30lb. is the first lock. then do (9x3)+9+30. the second lock is 66.