Answer:
Each friend will have 2 and a half cups of lemonade or 2.6666
Step-by-step explanation:
Since, there are 3 friends, each friend will get 2.67 cups.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
Total number of cups = 8.
The number of friends who want to share these 8 cups = 3.
Let each friend gets x cups.
To find the value of x use division property,
3x = 8
x = 8/3
x = 2.666
or x = 2.67
Hence, Each friend will get 2.67 cups.
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the distance from the base of a flagpole to a point on the ground is 24 feet. the flagpole has a height of 18. what is x the distance from the top of the flagpole to the ground.
You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.
The distance from the top of the flagpole to the ground is 30 feet.
What is Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the distance from the base of a flagpole to a point on the ground = 24 feet
height of flagpole = 18 feet
the distance from the top of the flagpole to the ground is x
by Pythagorean theorem, we can find the distance
h² = b² + p²
h = hypotenuse = x
b = base = 24 feet
h = height = 18 feet
x² = 24² + 18²
x² = 576 + 324
x = √900
x = 30 feet
Hence the value of x is 30 feet.
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Select the correct symbol.
0.2 ? 0.4
Answer:
I think that 0.2 is greater than 0.4
Use the FOIL method to check your answer from part A.
Answer: (3x=2) (x+2)
Step-by-step explanation:
Factor by grouping
What is four fifths mines two thirds sorry for asking
Answer:
2/15
Step-by-step explanation:
4/5-2/3
Seth has 18 balls in his bag .There are twice as many green balls as there are in his bag.If x represents number of yellow balls.
Write the 24 hour clock time which is 17min later than 13:55
Answer:
14:12
Step-by-step explanation:
Answer:
After entering a time in 24-hour format, this calculator lets you add and subtract a period to give a new time, also in 24 hour format. The 24 hour time format is also known as "military time".
For example, you could enter the time 15:00:00 (3 pm), then add 70 seconds to it which would give 15:01:10 ( 3:01 and 10 seconds pm).
Order these from least to greatest: -4.22, 0.8, -4 1/2, 8.4, 4/3
Answer:
-4 1/2, -4.22, 0.8, 4/3, 8.4
Step-by-step explanation:
-4 1/2 means -4.50, which is smaller than -4.22
4/3 means 1.33, which is smaller than 8.4
A set of counters is numbered 1 through 12. Suppose you draw one counter without looking. What is the probability of choosing a number greater than 4?
Question 5 options:
2/3
1/12
1/3
1/6
10 When line a is drawn in the xy-plane, it passes through quadrants II and III, but not through quadrants I and IV. Which of the following could des ribe line a ? A) The slope is 1 and the x-intercept is 0. B) The slope is () and the y-intercept is 5. C) The slope is -1 and the y-intercept is 0. D) The slope is undefined and the x-intercept is -5.
Answer:
D the slope is undefined and the y intercept is -5
Step-by-step explanation:
quadrant II and III are on the left. the only way for a line to pass through those two quadrants without passing through I and I would have to be a negative x intercept. The slope would have to be undefined which would make a diagonal line. if the slope was 1 or anything higher it would end up hitting the other quadrants.
GIVING BRAINLEIST PLS HURRY
Answer:
B. 5 cm, 5 cm, 5cm
Step-by-step explanation:
You can see in the picture that the sides are all 5
Answer:
the answerrrrrrrrr is B
Please help!!!!
Sometimes you need to use FOIL, in order to simplify a radical expression,
Multiplying binomial expressions is very similar to multiplying binomial radicals
Examples:
Answer:
c) ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]
d) ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]
Step-by-step explanation:
Step(i):-
Given that the binomial expression
([tex](6-\sqrt{12} )(6+\sqrt{12} )[/tex]
Multiply
( 36 + 6√12 -6√12 -(√12)²)
= ( 36 -12)
= 24
c) ([tex](6-\sqrt{12} )(6+\sqrt{12} ) = 24[/tex]
Step(ii):-
Given that the binomial expression
([tex](3+\sqrt{8} )(3-\sqrt{8} )[/tex]
Multiply
= 9 - 3√8 + 3√8 -(√8)²
= 9 - 8
= 1
d) ([tex](3+\sqrt{8} )(3-\sqrt{8} ) = 1[/tex]
1. Order the steps to solving a system of equations word problem in the
proper sequence.
Answer:
The answer is below
Step-by-step explanation:
The steps to solving a system of the equations word problem in the proper sequence are as follows:
1. Identify the problem: since the word problem don't give the direct question that needs to be solved, the first step is to identify the problem from the statement
2. Gather information: here you gather all the relevant information from the statement
3. Create an Equation: use the information available to create an equation for the word problem
4. Solve the problem: put the relevant information into the equation and do the necessary calculation
5. Verify the answer: verify your answer through rough estimates, or principles guiding the equation used, and many more.
Which words have vertical symmetry for all of the letters in the word? Check all that apply. MOM DIZZY HIT SEAT WAXY
Answer: 1, 3, 5
1.) MOM 3.) HIT 5.) WAXY
Step-by-step explanation: i hope this helps :)
The words in which all letters have vertical symmetry are MOM, HIT, and WAXY so options (A),(C), and (E) are correct.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
Vertical symmetry is the way by which a latter will completely coincide about a vertical axis.
For example word "A".
If we take a vertical axis in the mid of the word "A" then about this axis the whole word will coincide by left and right.
Thus, another words are M, O, T, Y, H, X.
The words containing the above letters are MOM, HIT, and WAXY.
Hence "The words in which all letters have vertical symmetry are MOM, HIT, and WAXY".
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A godown measures 40 m * 25 m* 10 m. Find the maximum number of wooden crates
each measuring 1.5 m* 1.25 * 0.5
that can be stored in the godown.
Answer:
n = 10667
Step-by-step explanation:
The measure of a godown = 40 m × 25 m × 10 m
The measure of wooden crate = 1.5 m × 1.25 m × 0.5 m
We need to find the maximum number of wooden crates that can be stored in the godown. Let there are n wooden crates. So,
[tex]n=\dfrac{40\times 25\times 10}{1.5\times 1.25\times 0.5}\\\\n=10666.67[/tex]
or
n = 10667
Hence, there are approx 10667 wooden crates can be stored.
three consecutive odd integers are such that three times the smallest is 9 more than twice the largest find the three numbers
Answer:
17, 19, 21
Step-by-step explanation:
let the 3 consecutive odd numbers be n, n + 2 and n + 4 , then
3n = 2(n + 4) + 9 ( 3 times smallest is 9 more than twice the largest )
3n = 2n + 8 + 9
3n = 2n + 17 ( subtract 2n from both sides )
n = 17
n + 2 = 17 + 2 = 19
n + 4 = 17 + 4 = 21
The 3 numbers are 17, 19, 21
patrick mahomes threw 229 yards in the first quarter of the súper bowl. for the last 3 quarters of the game, he ended up throwing a total of 754 yards. write an equation to find how many yards he threw each of the last three quarters
Answer:
345 yards :)
Step-by-step explanation:
Find the area of the shaded part (π=22/7)
Answer:
42cm square
Step-by-step explanation:
Frist find the area of the square. 14*14
Then find the Area of the circle.- (radius) one side of the square is the diameter so, diameter divided by 2 - 14/2=7
After that subtract the area of circle from the area of the square.
Answer:
first we find the area of the square.
area of square=side²
area of square =14²
area of square=196cm²
area of circle=pi×radius²
radius=14/2=7
area of circle=22/7×(7)²
area of circle =22/7×49
area of circle =154cm²
area of shaded region=area of square - area of circle
area of shaded= 196cm²-154cm²
area of shaded=42cm²
PPLLLLZZZZZ HHHEEELLLLPPPP
Answer:
11 1/3 sq yards
Step-by-step explanation:
4 1/4 x 2 2/3
change into improper fractions: 17/4 x 8/3 = 136/12 = 11 1/4
Which is the minimum or maximum value of the given function?
51
4
3
21
1P
-5
-4
-3 -2
-1
0
1
21
31
4
5
-1
-3
-41
-5
Answer:
the minimum value of the given function is -4
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answer:
480y
Step-by-step explanation:
multiply 6 x 8 x 60= 480
PLEASE HELP 20 POINTS
The area of a rectangular trampoline is 84 ft^2. The length of the trampoline is 8 ft greater than the width of the trampoline. The
situation can be represented by the equation
w^2 + 8w- 84 = 0
What is the width of the trampoline in feet?
A) 7 feet
B) 6 feet
C) 14 feet
D) 8 feet
Answer:
the rectangle is 14x6, the width is 6ft
Step-by-step explanation:
At a baseball game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Integrating sums of functions
Answer:
(a) -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Swapping Limits]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = 5[/tex]
[tex]\displaystyle \int\limits^4_{10} {f(x)} \, dx = 8[/tex]
[tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx[/tex]
Step 2: Solve Pt. 1
[Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = \int\limits^{10}_6 {4f(x)} \, dx + \int\limits^{10}_6 {10} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4\int\limits^{10}_6 {f(x)} \, dx + 10\int\limits^{10}_6 {} \, dx[/tex]Step 3: Redefine
Manipulate the given integral values.
[Integrals] Combine [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx = \int\limits^6_{10} {f(x)} \, dx[/tex][Integral] Rewrite: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx[/tex][Integral] Substitute in integrals: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 5 + 8[/tex][Integral] Add: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 13[/tex][Integral] Rewrite [Integration Property - Swapping Limits]: [tex]\displaystyle -\int\limits^{10}_6 {f(x)} \, dx = 13[/tex][Integral] [Division Property of Equality] Isolate integral: [tex]\displaystyle \int\limits^{10}_6 {f(x)} \, dx = -13[/tex]Step 4: Solve Pt. 2
[Integral] Substitute in integral: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10\int\limits^{10}_6 {} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(x) \bigg| \limits^{10}_6[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(10 - 6)[/tex][Integral] (Parenthesis) Subtract: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(4)[/tex][Integral] Multiply: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -52 + 40[/tex][Integral] Add: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -12[/tex]Topic: AP Calculus AB/BC
Unit: Integration
Book: College Calculus 10e
a bag has 4 red balls and 4 balls, what is the probability of getting a red ball randomly.
Answer:
1/2
Step-by-step explanation:
4/8 are red. If you simplify that you get 1/2.
The number of times the value appears in the data set
Answer:
Frequency
Step-by-step explanation:
Answer:
Frequency
Step-by-step explanation:
The frequency of any value is the number of times that value appears in a data set.
Find the missing values in each column.
Column A
Column 8
Column C
+3+=12
63 +7=
-63+(-7) = 9
-63-7=
Column D
21 + 7 = 3
-21-7) = 3
-21-7=3
21+(-7) = 3
- 24+4=-6
43 - (-4)= -12
Describe the pattern you see in each column's answers in Problem 1. relating it to the problems divisors and
dividends. Why is this so?
Describe the pattern you see between the answers for Columns A and B in Problem I les compare the first answer
in Column A to the first answer in Column B compare the second answer in Column A to the second answer in
Column B) Why is this so?
Describe the pattern you see between the answers for Columns C and Din Problem 1. Why is this so?
Answer:
because less
Step-by-step explanation:
please help I will mark brainliest
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answer:
Choice 1) no
Choice 2) yes
Choice 3) yes
Choice 4) no
Choice 5) yes
Choice 6) no
Answer:
2, 3, & 5
Step-by-step explanation:
How do the villagers investigate the hole?
Answer:
they get in a hole and they grab the dirt and examine it
Step-by-step explanation:
Answer:the shout and throw a pebble into the hole
Step-by-step explanation:
the sum of 8 and a number
Answer:
x+ 8
Step-by-step explanation:
Translate this phrase into an algebraic expression.
The sum of 17 and twice Greg's score
Use the variable g to represent Greg's score.
Answer:
17+2g
Step-by-step explanation:
Answer:
2g=17
Step-by-step explanation: