Emma and her 3 friends did chores for Emma's dad on Saturday. They earned 55 and split evenly. How much money did each of the 4 children get? Each of them got 13.75
I need some help on this, solution ?
Answer:
Step-by-step explanation:
180°(n - 2)
180°(5 - 2) = 540°
540° - (112° + 98° + 110° + 118°) = 102°
q = 28°
r = 32°
s = 78°
t = 118°
u = 50°
MA Grade 8 CMA 1 (Revised)
Wolf, January
1 of 161 of 16 Items
Question
Which of the following is the closest approximation to 30−−√?
Responses
5.00
5.25
5.50
5.75
The closest approximation of the square root of √30 is 5.50.
Square root:
The square root of a number is the inverse operation of squaring a number.
There are four methods to find the square root of numbers and those methods are as follows:
Repeated Subtraction Method of Square RootSquare Root by Prime Factorization MethodSquare Root by Estimation MethodSquare Root by Long Division MethodGiven,
√30
Here we need to find the closest approximation.
Now, we have to use the long division method in order to solve it.
In a long division method, we have to divide large numbers into steps or parts, breaking the division problem into a sequence of easier steps.
So, the square root of 30 is illustrated by the following diagram.
Now, the value of
=> √30 = 5.477
So, the closest approximation is 5.50.
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solve for x Express your answer as an integers or in simplest radical form 1-x^3=9
Answer:
\(\large\boxed{\tt x = 2}\)
Step-by-step explanation:
\(\textsf{We are asked to solve for x in the given equation.}\)
\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)
\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{How is this possible?}}\)
\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)
\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)
\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)
\(\textsf{of once.}\)
\(\large\underline{\textsf{For our problem;}}\)
\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)
\(\textsf{Property of Equality;}/tex]
\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)
\(\tt - x^{3} = 8\)
\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)
\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)
\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)
\(\textsf{*Note;}\)
\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)
\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)
\(\underline{\textsf{We should have;}}\)
\(\tt -x=2\)
\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)
\(\large\boxed{\tt x = 2}\)
How much are 6 of these $40’s
Answer:
$240
Step-by-step explanation:
there are 6 sets of 2 $20's which make $40, so you'd multiply 40 by 6 them you'd get $240
What fraction in this list is more than 3/5? 20/100, 6/10, 1/2, 2/12 or 2/3?
Answer: 2/3
Step-by-step explanation:
We will turn all of these fractions into decimals by dividing to compare them easier.
3/5 ➜ 0.6
20/100 ➜ 0.2
6/10 ➜ 0.6
1/2 ➜ 0.5
2/12 ➜ 0.16666
2/3 ➜ 0.6666
0.6666 > 0.6, so 2/3 > 3/5
This means our answer is 2/3
Pleaseee help please I need itt!
The volume of the cuboids is given by the product of their dimensions.
What is cuboid?A cuboid is a three-dimensional shape that has 6 faces, 12 edges, and 8 vertices.
Given are cuboids, we need to determine the height, width and length of these,
To find the same, we just have to count the number of cubes, and the volume is the product of dimension,
1) Height = 3 units
Width = 4 units
Length = 4 units
Volume = 48 units³
2) Height = 5 units
Width = 2 units
Length = 5 units
Volume = 20 units³
3) Height = 3 units
Width = 5 units
Length = 5 units
Volume = 75 units³
4) Height = 4 units
Width = 3 units
Length = 5 units
Volume = 60 units³
5) Height = 4 units
Width = 5 units
Length = 3 units
Volume = 60 units³
6) Height = 3 units
Width = 5 units
Length = 5 units
Volume = 75 units³
7) Height = 2 units
Width = 2 units
Length = 3 units
Volume = 12 units³
8) Height = 5 units
Width = 3 units
Length = 5 units
Volume = 75 units³
9) Height = 5 units
Width = 2 units
Length = 5 units
Volume = 50 units³
10) Height = 4 units
Width = 4 units
Length = 4 units
Volume = 64 units³
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The edge of a cube measures 4n^2 inches. What is the volume of the cube
64n³ is the volume of the cube.
What does a math volume mean?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.The cube formula is what?
Height + Breadth + Length equals a. As a result, an is the length of each cube edge. The volume of cube formula is therefore a a a = a3. The number derived using the cube formula is the ideal cube number, it should be emphasized.the volume of the cube = s3
the volume of the cube = ( 4n )³ ⇒ 4n × 4n × 4n
= 64n³
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Which inequality is represented by this graph?
f(0, 1)
(5,0)
Answer:
C.
Step-by-step explanation:
The dotted line means it is not "equal to" and since its shaded BELOW the line, its less than.
\(y < \frac{-1}{5} x+1\) inequality is represented by given graph.
What is inequality?" Inequality is defined as the relation between two variables using sign of inequality such as >, <, ≤, ≥ ."
According to the question,
From the given graph,
(0,1) and (5,0) are excluded points in the graph of the inequality .
value of y < 1 for x = 0, value of x < 5 for y =0 represents open interval.
Option (A) and (B) represent Close interval , therefore both are not correct option.
Option(D) y >1 for x=0 , x>5 for y=0 , it is not correct option.
Option (C) \(y < \frac{-1}{5} x+1\)
y <1 for x = 0 and x<5 for y = 0 represent the graph inequality.
Hence, Option(C) is the correct answer.
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please help if you answer I will give you brainliest also you smart just please explain to me how you got the answer if you don't know the answer you smart to just don't answer the question for points thx
Answer:
2.352
Step-by-step explanation:
Determine the range of the function y = -2x^2 + 3
ashley has sold 70% of the candy bars she is supposed to sell for her softball team how many candy bars does she have left to sell?
Write the equation of the line that passes through the given point and is perpendicular to the given line. (0, 3); 3x − 4y = −8
Answer:
y = -4/3x + 3
Step-by-step explanation:
3x − 4y = −8
-4y = -3x - 8
y = 3/4x + 2
slope m = 3/4
perpendicular version of it is opposite inverse: -4/3
y-intercept through point (0, 3):
y = mx + b
3 = -4/3(0) + b
b = 3
Use the perpendicular slope with b from above to form new perpendicular equation of line:
y = mx + b
y = -4/3x + 3
In the figure below, m L 1 = (x + 48)° and m 2 = 2x°.
Find the angle measures.
Answer:
∠ 1 = 62° , ∠ 2 = 28°
Step-by-step explanation:
angles 1 and 2 form a right angle = 90° , that is
∠ 1 + ∠ 2 = 90 ( substitute values )
x + 48 + 2x = 90
3x + 48 = 90 ( subtract 48 from both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Then
∠ 1 = x + 48 = 14 + 48 = 62°
∠ 2 = 2x = 2 × 14 = 28°
Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .
Given:
The sequence is:
\(-3,5,13,21...\)
To find:
The explicit formula for the given sequence then find the 47th term.
Solution:
We have,
\(-3,5,13,21...\)
The difference between two consecutive terms are:
\(5-(-3)=8\)
\(13-5=8\)
\(21-13=8\)
The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.
The explicit formula for an arithmetic sequence is:
\(a_n=a+(n-1)d\)
Where, a is the first term and d is the common difference.
Putting \(a=-3\) and \(d=8\) in the above formula, we get
\(a_n=-3+(n-1)8\)
\(a_n=-3+8n-8\)
\(a_n=8n-11\)
Putting \(n=47\), we get
\(a_{47}=8(47)-11\)
\(a_{47}=376-11\)
\(a_{47}=365\)
Therefore, the explicit formula for the given sequence is \(a_n=8n-11\) and the 47th term is 365.
D. Describe why this statement is false.
"75% of the days had 20 or more parts per million of pollution."
Answer:
59%
Step-by-step explanation:
There are 7 days out of 14 that are 20 or more
That would be 59%
Mr. Richardson would like to build a planter surrounded by a brick path (show in gray). How many square feet of brick does Mr. Richardson need? 20ft and 8 ft inside the planter 24ft and 12ft of path
Answer:
128 ft^2 needed
Step-by-step explanation:
Given
See attachment for missing details
Required
Determine the number square feet needed
First, calculate the inner area (A1)
\(A_1 = Length * Width\)
\(A_1 = 20ft * 8ft\)
\(A_1 = 160ft^2\)
Next, calculate the outer area (A2)
\(A_2 = Length * Width\)
\(A_2 = 24ft * 12ft\)
\(A_2 = 288ft^2\)
The area of the planter is:
\(Area = 288ft^2-160ft^2\)
\(Area = 128ft^2\)
Hence, he needs 128 square feet
I need help please hurry up
Answer:
6
Step-by-step e6xplanation:
A rectangle with positive are has length represented by the expression 3x^2+5x-8 and width by 2x^2 +6x write an expression in terms of c for the perimeter and area of the rectangle give your answer in standard polynomial form and show your work
Answer:
\(c=10x^2+22x-16\\A=6x^4+28x^3+14x^2-48x\)
Step-by-step explanation:
Given
Length is \(l=3x^2+5x-8\)
Width is \(w=2x^2+6x\)
Perimeter of the rectangle is the sum of the sides
\(\Rightarrow c=2(3x^2+5x-8+2x^2+6x)\\\Rightarrow c=2(5x^2+11x-8)\\\Rightarrow c=10x^2+22x-16\)
Area is given by
\(\Rightarrow A=(3x^2+5x-8)(2x^2+6x)\\\Rightarrow A=6x^4+18x^3+10x^3+30x^2-16x^2-48x\\\Rightarrow A=6x^4+28x^3+14x^2-48x\)
Olivia needs 54 licks for every 3 lollipops they eat.
Answer:
so what is the question ??
What is the slope the line that passes through the points:
(-6, 14), (2, -18)
O-
4
О O
1
4
4.
-4
(-6, 14) and (2, -18)
To Find:The slope of the line that passes through the point.
Slope Formula:y2 - y1 / x2 - x1
Solution:-18 - 14 / 2 + 6
= -32 / 8
= -4
Answer:Option D. -4
Help me please what is 11/5 you can write it in numerical numbers lile this 1,2 or whole number fractions like this 1 1/2
Answer:
11/5 = 2 1/5
11/5 = 2.2
Step-by-step explanation:
Graph A (-3.-2), B (-5,-4), and C (-3,-4)
Pls solve the problems
Graph attached
Alex needs to catch a train. The train arrives randomly some time between and , waits for minutes, and then leaves. If Alex also arrives randomly between and , what is the probability that the train will be there when Alex arrives
The probability that the train will be there when Alex arrives is 0.1.
Given that the time that train arrives between 1:00 P.M to 2:00 P.M. and waits for 10 minutes. Alex arrives between 1:00 P.M to 2:00 P.M.
We are required to find the probability that the train when Alex arrives.
Probability is the likeliness of happening an event among all the events that are possible to happen.
Probability=Number of items/total number of items.
Number of combinations of timings in which the train may have arrived=60/10=6 combinations
Number of ways in which Alex arrives at the station=60.
Probability=6/60
=1/10
=0.1
Hence the probability that the train will be there when Alex arrives ie 0.1.
Question is incomplete. The following things should be included:
Timing in which train arrives is between 1:00 P.M and 2:00 P.M.The train waits for 10 minutes. Alex arrives between 1:00 P.M and 2:00 P.M.
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you are sitting in classroom next to the wall looking at the blackboard at the front of the room. the blackboard is 11 ft long and starts 5 ft from the wall you are sitting next to. show that your viewing angle is α
Your viewing angle α is approximately 46.34 degrees when sitting in the classroom next to the wall and looking at the blackboard.
To show that your viewing angle α is determined by the length of the blackboard and its distance from the wall, we can use geometry and trigonometry.
Let's consider a right triangle formed by your line of sight, the distance from the wall to the blackboard, and the length of the blackboard.
The adjacent side of the triangle is the distance from the wall to the blackboard, which is 5 ft. The opposite side is half the length of the blackboard since you are looking at the midpoint of the blackboard. Therefore, the opposite side is (11 ft)/2 = 5.5 ft.
We can use the tangent function to calculate the viewing angle α:
tan(α) = opposite/adjacent
tan(α) = (5.5 ft)/(5 ft)
tan(α) = 1.1
To find α, take the arctan (inverse tangent) of both sides:
α = arctan(1.1)
Using a calculator, we find that α ≈ 46.34 degrees.
Therefore, your viewing angle α is approximately 46.34 degrees when sitting in the classroom next to the wall and looking at the blackboard.
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Graph the inequality.
x + 2y 54
Answer:
I cant solve it without the inequality symbol sorry.
Step-by-step explanation:
5 3/4 + 1 11/12 as a mixed number
Answer:
7 2/3
Step-by-step explanation:
Answer:
23/4 + 23/12
Step-by-step explanation:
Multipy 5 by 4 and then add it to 3/4
Add 12 to 11/12
I need help with this please and thank you:)
Answer:
Step-by-step explanation:
4 + (-7) = -3
First mark the the first number (4) in the number line. Then check the second number. Here it is (-7). As it is negative, we have to move to left hand side in the number line - 7 jump towards left. The final number where the jump ends will give the answer.
need help from An Expert i really need your help help with the whole thing
Answer:
free points
Step-by-step explanation:
Answer:
etm
Step-by-step explanation:
yc
What are the domain and range of the function?
f(x)=^-3√x
Answer: \(\mathrm{Domain\:of\:}\:-3\sqrt{x}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}\)
\(\mathrm{Range\:of\:}-3\sqrt{x}:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}\)
s
What is the slope of the line below?
y=2/3 X - 3
Answer:
2/3
Step-by-step explanation:
Hey there!
Well in the equation,
y = 2/3x - 3
the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.
Hope this helps :)