Answer: 4.80952380952
Step-by-step explanation: 4.80952380952 even it to 4.8
Answer:
4.80952380952
Step-by-step explanation:
4.80952380952
How do you simplify (2/3) with a sqrt of 2
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
Learn more about distribution here:
brainly.com/question/30034780
#SPJ1
What is the inverse operation of the square root?
Answer:
The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
PLEASE HELPPPPPP MEEEEEEE!
Answer:
124 students
Step-by-step explanation:
Girls participating in the exercise
4/15 x 285 = 76
Boys participating in the exercise
3/20 x 320 = 48
Total students participating
76 + 48 = 124
7. The population of Canada is about 37.59 million. How is this number written in scientific
notation?
(Please hurry)
Answer:
3.759*10^7
Step-by-step explanation:
Make r the subject of the formula
\(v = mg \sqrt{(1 - r {}^{2}) } \)
\(\huge\underline{\purple{\bold{your \: answer \: is \: in \: attachment}}}\)
The value of 'r' as a subject is \(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression will be solved as:-
\(v =mg \sqrt{1-r^2\)
Squaring on both sides.
\(v^2=m^2g^2(1-r^2)\)
\(\dfrac{v^2}{m^2g^2}=1-r^2\)
\(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).
Hence, the expression is \(r=\sqrt{\dfrac{v^2}{m^2g^2}-1}}\).
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
a football team played 30 matches in one season and want 40 percentage of them the number of matches they won is
a) 12
b) 10
c) 18
d) none of these
40% of 30 matches is 12
Answer:
12
Step-by-step explanation:
.....
(40/100)*30
=12
=12
10. Leo runs the 100-meter dash in 19.305
seconds. Explain and show how you can
write an expression in expanded form
for the decimal that shows more than 0
hundredths.
The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005
How to write in expanded form ?He runs the 100 meters dash in 19.305 seconds.
Therefore, the seconds he runs the race can be represented in expanded form as follows:
Expanded form is a way to write a number by adding the value of its digits.
We can use a place value chart to think of the value of a number's digits.
Therefore,
19.305 in expanded form is as follows:
19.305 = 10 + 9 + 0.3 + 0.00 + 0.005
learn more on expanded form here: https://brainly.com/question/199541
#SPJ1
use the volume formula to find the volume of the prism. 
is there any aswer choices
Find the surface area of a square pyramid with side length 2 yd and slant height 2 yd.
The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.
The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.
A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.
Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:
Area of the base = (side length)^2 = 2^2 = 4 square yards
Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards
Now, let's calculate the total surface area of the square pyramid:
Total surface area = Area of the base + 4 * Area of each triangular face
Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards
Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.
For more questions on Pyramid .
https://brainly.com/question/30615121
#SPJ8
PLZ HELP I NEED AWNSERS ASAP
a statistical question anticipates that answers will vary. which of these are examples of statistical questions?
A) how many computers are in the school's lab?
B) how many letters are in the wrong direction?
C) what are the favorite books of each member of the book club?
D) how many people volunteered to help at the community's Christmas
E) how many video games were purchased last year by each student in Mr.hills math class
E.
It gives a very precise question which will give much data.
6. The tables show the monthly costs for two different Internet service providers.
What will be the difference in the cost of the two plans after 18 months?
Company A
Month, x
1
234
Total Cost ($), y
75
110
145
180
Company B
Month, x
1
2
3
4
Total Cost ($), y
60
110
160
210
Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.
What will be the cost for the two plants after 18 months?By following the sequence provided on the table, let's calculate the cost for each plant:
Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.
Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910
Now, let's calculate the difference in cost:
910 - 670 = 240
Learn more about cost in https://brainly.com/question/30045916
#SPJ1
Use the information given below to find tan(a + B)
cos a = 3/5, with a in quadrant IV
tan B = 4/3, with B in quadrant I I I
Give the exact answer, not a decimal approximation.
tan(a + B) = ?
let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said
\(\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill\)
\(\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}\)
3. A clock is constructed using a regular polygon with 60 sides. The
polygon rotates every minute. How much has the polygon rotated
after 12 minutes? Explain your answer with words, a drawing or both-
We are required to find how much the polygon has rotated after 12 minutes
The number of times the polygon has rotated after 12 minutes is 72°
Number of sides of the polygon = 60
The polygon rotates every minute, that is
1 rotation = 1 minutes
12 rotation = 12 minutes
one rotation of the clock is 360°
Number of times the polygon has rotated after 12 minutes = one rotation of the clock / Number of sides of the polygon × number of minutes
= 360°/60 × 12
= 6 × 12
= 72°
Learn more about polygons and clock:
https://brainly.in/question/5841490
Simplify the ratio 4:26
Answer:
The simplest form of 426 is 213.
Answer:
2:13
Step-by-step explanation:
To simplify the ratio 4:26, we find the greatest common divisor of 4 and 26, and then we divide 4 and 26 by the greatest common divisor.
The greatest common divisor that you can use to simplify 4:26 is 2. Which means the answer to ratio 4:26 simplified is 2:13.
e
gar
alue
io.
S
E Cody and Jamal are making
snow bricks to use to build a
fort. Cody makes 9 bricks in.
the same amount of time that
Jamal makes 12 bricks. If Cody
makes 45 snow bricks, how
many can Jamal make?
Jamal made 60 snow bricks while Cody makes 45 snow bricks.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
Cody makes 9 bricks in the same amount of time that Jamal makes 12 bricks.
Let Jamal be made x snow bricks when Cody makes 45 snow bricks.
As per the given situation, we can write the ratio would be as:
⇒ 9/12 = 45/x
Apply the cross-multiplication operation
⇒ 9x = 12 × 45
⇒ 9x = 540
Divided both sides of the above equation, and we get
⇒ x = 540/9
⇒ x = 60
Hence, Jamal made 60 snow bricks.
Learn more about the Ratio here:
brainly.com/question/1504221
#SPJ1
Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).
I need help with this please help me
Answer:
Q'(-3, 5)R'(-5, -1)S'(-2, 0)T'(0, 3)Step-by-step explanation:
You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).
Composition of TransformationsThe problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.
TranslationThe numbers in the translation vector are added to the coordinates:
(x, y) ⇒ (x+2, y+0)
ReflectionReflection over the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
ApplicationThen the composition of transformations is ...
(x, y) ⇒ (-(x+2), y)
Q(1, 5) ⇒ Q'(-3, 5)
R(3, -1) ⇒ R'(-5, -1)
S(0, 0) ⇒ S'(-2, 0)
T(-2, 3) ⇒ T'(0, 3)
the perimeter of a rectangle is 68 cm. The length is 4cm more than its width. Find the dimensions of the rectangle
Answer:
W=15cm
L=19cm
The dimensions are 15cm by 19cm
Step-by-step explanation:
P=2W+2L
L=4+W
68=2W + 2(4+W)
68=4W+8
60=4W
W=15cm
L=4+15
L=19cm
Write the equation of the line with slope 35 that passes through point (0,−3).
Answer:
\(y = 35x - 3\)
Step-by-step explanation:
Based on the given conditions
\(m = 35\)
Substitute and calculate
Substitute:
\(m = 35 \\ x = 0 \\ y = - 3\)
Into:
\(y = mx + b\)
Therefore, the equation of the line is:
\(y = 35x - 3\)
Bill notes that his apple tree is 45 the size of his pear tree. His apple tree is 4 meters tall. How tall is the pear tree?
Answer:
11.25 m
Step-by-step explanation:
45 divide by 4
because the Apple tree is 45 the size of pear tree
Answer: 5
Step-by-step explanation:
What is this? I’m too dumb.
Answer:
its 35
Step-by-step explanation:
y = 6
and 6 times 6 is 36
and 36 minus 1 is 35
:)
Hello everyone i need ur help to factor out this in a easy way.
9514 1404 393
Answer:
(x -1/4)(x -1)(x +1)
Step-by-step explanation:
Pairs of coefficients have the same ratio, so it is likely that you can factor this by grouping pairs of terms.
x³ -x -1/4x² +1/4 = (x³ -x) -(1/4x² -1/4) . . . . . . note the signs
= x(x² -1) -1/4(x² -1)
= (x -1/4)(x² -1)
The difference of squares (x² -1) is a special form that has factors (x -1)(x +1)
Your factoring is ...
(x -1/4)(x -1)(x +1)
_____
Additional comment
The difference of squares factors like this:
a² -b² = (a -b)(a +b)
Hamish uses 40 bricks per square metre of paving. He buys $500 worth of bricks. How many square metres of paving is he able to lay if bricks cost 80 cents each? (Answer to the nearest square metre).
Answer:
15
Step-by-step explanation:
500÷ .80 = 625625 ÷ 40 = 15.625Find the domain and range of the relation. Also determine whether the relation is a function.
{(6,3), (8,5), (-4,-4), (5,5)}
The domain is:
D: {-4, 5, 6, 8}
The range is:
R: {-4, 3, 5}
And yes, the relation is a function.
How to determine the domain and range?
For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).
Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}
The domain is the set of the first values of each pair, so we have:
D: {-4, 5, 6, 8}
The range is the set of the second values of each pair:
R: {-4, 3, 5}
Now, is this a function?
Yes, it is a function, because each input is mapped into only one output.
If you want to learn more about domain and range:
https://brainly.com/question/10197594
#SPJ1
5 apples cost 60p how much does 1 apple cost
Answer:
It will cost 12p a one apple
o III. Read each passage and make a conclusion about it (5 POINTS EACH) 1. Video gaming is one of the largest industries in America. Each day more and more children are getting addicted to video games. There have many video game opponents accusing the industry of becoming too violent. It is not uncommon to play a shoot em up game where ten people are getting killed every minute. Yet, despite societal pressure to eliminate violent video games, as each day passes, more games are getting hooked. 2. He had always wanted to serve the country, but this seemed like madness. He was supposed to fight in a war in a foreign land, helping to protect people whom he did'nt know. Angelo had a strong sense of patriotism, but he was worried about the bombs, death and carnage that could await him in Iraq. He pondered whether he would ever see his family again.
Answer:
come india
Step-by-step explanation:
ok
1.) 2.73 ÷ 0.03
2.) 112 ÷ 0.16
3.) 48.86 ÷ 0.08
4.) 0.28 ÷ 0.4
5. 18.3 ÷ 6
I need solutions now
Answer:
1. 91
2. 700
3. 610.75
4. 0.7
5. 3.05
HELP ASAP Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
The last one: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Step-by-step explanation:
To get to (-3 1/2, -2), you would have to go left 3 1/2 units, and down 2 units.
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
For more questions on Function .
https://brainly.com/question/11624077
#SPJ8
7th- Grade question
8. A bottle contained 3 7/12 cups of juice. Then Mark drank 1 1/6 cups of the
juice. How much juice was left in the bottle?
A. 2 1/12 cups
B. 2 1/6 cups
C. 2 5/12 cups
D. 2 5/6 cups
Answer:
C
Step-by-step explanation:
3 7/12 - 1 1/6
1. Change 1 1/6 into the same denominator as 3 7/12.
3 7/12 - 1 2/12
2. Subtract whole numbers.
3 - 1 = 2
3. Subtract the fractions.
7/12 - 2/12 = 5/12
4. Answer is 2 5/12 (C).
hope this helps :)