Answer:
0.143
Step-by-step explanation:
1) convert to decimal form: 0.142857
2) rounding to nearest thousandth (3rd decimal place)
3) number is higher than 5 so it rounds up to 0.143
5) There are 20 students in Mr. Drury's tutorial. 70% of the students are wearing a hoodie. Het many students are wearing a hoodie?
solve attachment 30 points!!!!!
Answer:
[tex]A=\frac{B^3}{5g+m}[/tex]
Step-by-step explanation:
Step 1: Write out equation
5gA + mA = B³
Step 2: Factor out A
A(5g + m) = B³
Step 3: Divide both sides by 5g + m
[tex]A=\frac{B^3}{5g+m}[/tex]
-2(6 - 10x) = 10(2x - 6)
HEPL!!!!
Answer:
x=0 solution
Step-by-step explanation:
2x-10x=6-6
-8x=0
x=0 solution Hope this helped!
A triangle has a base length of 3.1 cm and corresponding height of 4.2 cm, correct to
one decimal place. Calculate the upper and lower bounds for the area of the triangle as
accurately as possible.
Answer:
The upper bound of the area is 6.69375 cm²
The lower bound of the area is 6.32875 cm²
Step-by-step explanation:
The question relates to measurements and accuracy
The given information are;
The base length of the triangle = 3.1 cm
The height of the triangle = 4.2 cm correct to one decimal place
The lower bound for the base length of the triangle = 3.05 cm
The upper bound for the base length of the triangle = 3.15 cm
Similarly, the lower bound for the height of the triangle = 4.15 cm
The upper bound for the height of the triangle = 4.25 cm
The formula for calculating the area of a triangle is given by the following formula;
Area of a triangle = 1/2 × Base × Height
The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height
The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²
The upper bound of the area = 6.69375 cm²
The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height
∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²
The lower bound of the area = 6.32875 cm²
Evaluate y = 3x - 5 when x = 6
y=13
Step-by-step explanation:
y=3x-5
y=3(6)-5
y=18-5
y=13
Differentiate Square numbers and cube numbers
Answer:
square numbers are numbers raised up to the power of two in essence the number multiplied by it self
Some number added to 5 is equal to -11. Find the number.
Answer:
5-16= -11
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
5+?=-11
move the equation around..
-11-5=?
-11-5=-16
you can move the equation around again to be sure..
5+(-16)=-11
yes it does
HAVE A GREAT DAY (:
Jeremiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?
Answer:
6 cups of flour
Step-by-step explanation:
we know that
the ratio of the recipe=(1 1/2)/(3/4)
1 1/2=1.5 cups of flour
3/4 stick of butter-------> 0.75 stick of butter
by proportion
1.5/0.75=x/3---------> 3*1.5=0.75*x
x=3*1.5/0.75----------> x=6 cups of flour
what is the sum of 3/20+ the square root of 10
Answer:
3.31
Step-by-step explanation:
sqr 10 = 3.16
3/20 = .15
3.16+ .15
3.31
True or false, 6 divided by 1/2 is larger than 6 1/2
Answer:
True
Step-by-step explanation:
6 divided by 1/2 is the same as multiplying by two
Answer:
True
Step-by-step explanation:
6 divided by 1/2 = 12
You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12
Factor the polynomial expression x4 + 18x2 + 81 to determine missing terms
X^4+18x^2+81=( )^2+2( )x^2+ ( )^4
Answer:
Step-by-step explanation:
Explanation:
Use the extended form of the perfect square trinomial identity:
a4 + 2a2b2 + b4 = (a2 + b2)2.
a2 = x2 and b2 = 32
x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2
= (x2)2 + 2(32)x2 + (32)2
= (x2 + 32)2
= (x2 + 9)2
The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial:
= x⁴ + 18x² + 81
Let u = x²
[tex]\rm =u^2+18u+81[/tex]
or
= (x²)² + 2(9)x² + (3²)²
= (u + 9)²
= (x² + 9)² or
= (x² + 9)(x² + 9)
Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
Learn more about Polynomial here:
brainly.com/question/17822016
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Please Help Me Which letter represents Chinese dynasties? Which letter represents the birthplace of Hinduism? Which letter represents the beginning of the Hebrew culture?
Step-by-step explanation:
chinese dynasties=C
Hinduism birthplace=B
Hebrew culture=A
which situation could NOT represent a proportional relationship? F The number of gallons of water in x barrels with 42 gallons of water in each barrel G The amount an employee who makes $8.50 per hour earns in h hours the weight in x weeks of a puppy that gains 2 pounds per week it is starting weight is 8 pounds 1 The cost of purchasing p pounds of bananas for $0.55 per pound
Answer: it’s H <3
Step-by-step explanation: I had this on my homework and I got it right^^
It is possible that the situation does not represent a proportional relationship. The number of hours worked by an employee earning $8.50 per hour.
What proportional relationship?The relationship is said to be proportional when two or more items are directly proportionate or change in size according to equivalent ratios.The formula y = kx can be used to express this proportional relationship. The quantities that are proportional to one another in this case are y and x.In this case, the unit rate is another name for the proportionality constant (k).Proportional relationships can be worked with algebraically, but they can also be represented visually by graphing them on a coordinate plane.On the graph, a proportionate relationship is always represented as a straight line across the origin.Therefore, The correct answer is option is B) The amount an employee who makes $8.50 per hour in h hours
The complete question is:
Which situation could NOT represent a proportional relationship?
A: The number of gallons of water in x barrel with 42 gallons of water in each barrel
B: The amount an employee who makes $8.50 per hour in h hours
C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds
D: The cost of purchasing p pounds of bananas for $0.55 per pound
To learn more about proportional relationship, refer to:
brainly.com/question/28777033
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The coordinates of the midpoint of GH are M(8,0) and the coordinates of one endpoint are H(-2,9) The coordinates of the other endpoint are (_,_)?
Answer:
work is attached and shown
The coordinates of the other endpoint are (18, -9)
The given points;
midpoints M = (8, 0)
one end points, H = (-2, 9)
The coordinate of the other end point is calculated as;
[tex]G_1 = \frac{x + (-2)}{2} = 8\\\\G_2 = \frac{y+ 9}{2} = 0[/tex]
From the above equation, the x coordinate is calculated as;
x - 2 = 16
x = 18
The y coordinate is calculated as;
y + 9 = 0
y = -9
Thus, the coordinates of the other endpoint are (18, -9)
Learn more here: https://brainly.com/question/20428158
The figure below shows part of a stained glass window depicting the rising sun which function can be used to find the area of the region outside of the semicircle but inside the rectangle. (Look at the picture for more details)
We know that the area of a semicircle = 1/2(πr^2)
r = the radius
We also know that the area of a rectangle = xy
x = width
y = length
In our problem,
r = w
x = w
y = w + 5
A(w) = w(w + 5) - 1/2(πw^2)
Let's simplify the right side of the function.
A(w) = w^2 + 5w - 1/2πw^2
= loan
6
2) The wire length 176 cm is first bent into a square
and then into a circle
which one will have more area? (II= 22/7)
Length of Wire = 176 cm
It's bent into a square.
Side of square = 176/4 = 44 cm
Area of square = Side × Side = 44 × 44 = 1,936 sq.cm
Then it's bent into a circle.
Circumference of the circle = 2πr = 176 cm
Circumference = r = 176/2 × 7/22 = 28 cm
Area of circle = πr^2
Area = 22/7 × 28 × 28
Area = 2,464 sq.cm
The Circle will have more area than the square.
Ira's puppy weighed 3/4 pound. His kitten weighed 1/5 pound. What was the total weight of Ira's two pets? A. 19/20 pounds B. 4/9 pound C. 11/20 pound D. 19/20 pound
Answer:
3/4+1/5=19/20
Step-by-step explanation:
Answer:
19/20
Step-by-step explanation:
3/4+1/5
find the common denominator
15/20+4/20= 19/20
If ab=4x-10,Bc=x-1 and b is the midpoint of ac, find ab
Answer:
AB = 2Step-by-step explanation:
If B is the midpoint of AC then:
AB = BC
4x - 10 = x - 1
+10 +10
4x = x + 9
-x -x
3x = 9
÷3 ÷3
x = 3
AB = 4x - 10 = 4×3 - 10 = 12 - 10 = 2
Explanation & Process Needed
Answer:
∠ BOF = 32°
Step-by-step explanation:
Since AB is a straight line, then
∠ AOE + ∠ EOD + ∠ DOE = 180° , substitute values
90 + x + 8 + 2x - 8 = 180 , that is
3x + 90 = 180 ( subtract 90 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Thus
∠ DOB = 2x - 8 = 2(30) - 8 = 60 - 8 = 52°
∠ COF = 4x - 24 = 4(30) - 24 = 120 - 24 = 96°
∠ AOC = ∠ DOB ( vertical angles ), thus
y = 52, then
∠ BOF = 180° - (96 + 52)° = 180° - 148° = 32° ( angles on a straight line )
4. Simplify the following using the quotient rule of exponents:
(1 Point)
33 = 33
31
33
30
3-
!!!!!!!!!!!!!!!!!!!
Answer:
31=1/1
33=1/1
30=3/10
3-=-3
Step-by-step explanation:
What is f(4) if f(x)=3x+2
Answer:
f(4) = 14
Step-by-step explanation:
To evaluate f(4), substitute x = 4 into f(x), that is
f(4) = 3(4) + 2 = 12 + 2 = 14
what is the smallest two digit positive integer such that the product of its two digits is one-half the integer
Let x be the tens and y be the ones digits.
The product of the number is then: 10x + y
The product is 1/2, so you need to multiply the product by 2 and the number:
10x + y = 2(x+y)
10x + y = 2x + 2y
Subtract 1 y from both sides
10x = 2x + y
Subtract 2x from
Both sides
8x = y
X has to be 1 , which would make y 8
The product number becomes 18
Since the product is 1/2, multiply by 2:
18 x 2 = 36
3 x 6 = 18
The answer is 36
How much can 2 go into 80
Answer:
40
Step-by-step explanation:
80/2= 40
[tex]x(x^2+8)=8(x+1)[/tex]x(x^2+8)=8(x=1)
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]x\left(x^2+8\right)=8\left(x+1\right)[/tex]
Expand:
[tex]x\times x^2+8x=8x+8\times 1[/tex]
[tex]x^3+8x=8x+8[/tex]
Subtract 8x from both sides:
[tex]x^3+8x-8x=8x+8-8x[/tex]
[tex]x^3=8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{8}[/tex]
[tex]x=2[/tex]
If LN=54 and LM= 31, find MN
Answer:
If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.
Step-by-step explanation:
So...
54-31=23
Which ordered pair on the graph represents the situation described in part F?
B
1
U
X'
X
Font Sizes
Answer:
The point (3, 9) represents 3 kilograms of weight with a spring stretch of 9 inches.
Step-by-step explanation:
The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Part II, you will be comparing an inflated football with a deflated one. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. In Part II, the independent variable, the one that is intentionally manipulated, is . (mass,volume,material,density) In Part II, the dependent variable, the one that you measure the response in, is . (mass,volume,matierl,density)
Answer:the first one is volume the second one is density
Step-by-step explanation:I took the test
Answer:
volume and density
Step-by-step explanation:
I BET NO ONE KNOWS THIS QUESTION . After years of Civil war , columbia is a peaceful democratic nation. TRU OR FALSE
Answer:
false?
Step-by-step explanation:
first, you put this question in mathematics. columbia is a “democracy” but i would say it isn’t peaceful.
the answer would be true
Round 20045 to 4 significant figures.
Answer:
2005
Step-by-step explanation:
Cindy lost 47 pounds while on a diet. She now weighs 144 pounds. Write and solve an equation to find her initial weight.
Answer:
191
Step-by-step explanation:
47+144=191
Answer:
equation: 144+ 47= 191
Step-by-step explanation: