Answer:
1/12, 0.2, 22%, 1/4
Step-by-step explanation:
1/12 = 0.083333
1/4 = 0.25
22% = 0.22
0.2
So: 1/12, 0.2, 22%, 1/4
what positive number raised to the second power is equal to 64
A bicycle has tires that are 24 inches in diameter.
b. How many inches does the tire travel after 100 rotations?
The tire travels 7536 inches.
We are given the diameter of tire of bicycle. Now, to find the distance traveled, we will use the following formula -
Distance = number of rotations × circumference of tire.
Now, further calculating the circumference of tire using the formula -
Circumference = π×diameter.
Firstly keep the values in the formula of circumference to calculate it.
Circumference = 3.14×24
Performing multiplication
Circumference = 75.36 inch
Now, keep the values in formula to find the distance traveled by the tire of bicycle.
Distance = 100×75.36
Again performing multiplication
Distance = 7536 inches
Hence, the distance traveled by the tires 7536 inches.
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A farmer raises chickens and pigs. If his animals have a total of 120 heads and a total of 300 feet, how many chickens does the farmer have?
F. 60 G. 70 H. 80 J. 90
The number of chickens are J. 90.
Let the chickens be represented by x and the pigs be represented by y.
Forming the equation according to first information -
Equation 1 : x + y = 120
x = 120 - y
Both chicken and pig has one head. Chicken has 2 feet while pig has 4 feet. Forming the equation according to second information -
Equation 2 : 2x + 4y = 300
Simplifying the equation 2 by dividing by number 2
x + 2y = 150
Keep the value of x from equation 1 in equation 2
120 - y + 2y = 150
Performing subtraction
120 + y = 150
Further shifting the value and performing subtraction
y = 150 - 120
Performing subtraction
y = 30
Now, 30 is the number of pigs.
Number of chickens = 120 - y
Number of chickens = 120 - 30
Number of chickens = 90
Hence, the number of chickens the farmer has is J. 90.
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Find measure.
m ∠ 5
Measure of angle 5 i.e. m∠5 = 50°
What is measurement of an angle ?The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.
How to find angle measurement ?As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.
In the question,
Let given angle is ∠8.
Given, ∠8 = 50°
Now, according to vertical angle property
∠5 = ∠8
therefore, ∠5 = 50°
Thus, m∠5 = 50°
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The complete question is :
Find measure m∠5
Ann, Claire and Josh collect stickers. One week, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers as Claire. If they collect a total of 157 stickers, how much stickers did each collect?
Josh collected 60 stickers, Ann collected 67 stickers and Claire collected 30 stickers.
How to find the number of stickers each collect using variables?Ann, Claire and Josh collect stickers. One week, Ann collects 7 more stickers than Josh.
let use variables to represent the amount of stickers they collected.
Therefore, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers as Claire
Josh stickers = x
Ann stickers = 7 + x
Claire stickers = 1 / 2 x
Total stickers collected = 157
Therefore,
x + 7 + x + 1 / 2 x = 157
x + x + 1 / 2 x = 157 - 7
2.5x = 150
divide both sides by 2.5
x = 150 / 2.5
x = 60
Therefore, Josh collected 60 stickers, Ann collected 67 stickers and Claire collected 30 stickers.
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find two consecutive odd integers whose product is the same as fifteen more than three times their sum
The find two consecutive odd integers is 7 and 9
Linear functionsThese are functions that has a linear degree of 1. Let the two consecutive odd numbers be 2x + 1 and 2x + 3
If their product is the same as fifteen more than three times their sum, then;
(2x+1)(2x+3) = 3(2x+1+2x+3) +15
4x²+6x+2x+3 = 3(4x+4) +15
4x²+8x+3 = 12x+12 + 15
4x² - 4x + 3 = 27
4x² - 4x - 24 = 0
x² - x - 6 = 0
On factorizing, the value of x is 3 and -2
First number = 2(3) + 1 = 7
Second number = 2(3) + 2 = 9
Hence the find two consecutive odd integers is 7 and 9
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mark wants to paint a mural. he has 1 1/3 gallons of yellow paint, 1 1/4 gallons of green paint, and 7/8 gallon of blue paint. Mark plans to use 3/4 gallons of each paint color. how many gallons of paint will he have left after painting the mural
Mark has: 1 1/3 = 4/3 gallons of Yellow
1 1/4 = 5/4 gallons of Green
7/8 gallons of Blue.
Total = (4/3 + 5/4 + 7/8) LCM = 24
= (32 + 30 + 21)/24 = 83/24 Gallons of Paint in total.
If he used 3/4 of each, he would have = 1/4 of each left.
Therefore gallons left = 1/4 * (83/24) = 83/96 gallons left.
= 0. 8646 gallons left in total.
please help me I need help i have problems
Answer:
3.6cm
Step-by-step explanation:
the points lie in order like this
A.....B.....C
we know that A......B......C total spans 4cm (or 40mm)
we know that A......B spans 4mm
we need to know the length of B......C
B......C = A.......B.......C - A.....B = 40mm - 4mm = 36mm = 3.6cm
Two cyclists, 80 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other. If they meet 4 hours later, what is the speed (in mi/h) of the faster cyclist?
The speed of the faster car is 15 miles per hour.
How to find the speed of the faster cyclist?Two cyclists, 80 miles apart, start riding toward each other at the same time.
One cycles 3 times as fast as the other. If they meet 4 hours later
speed = distance / time
distance = speed × time
let
speed of the slower cycle = x
speed of the faster cycle = 3x
Therefore,
4x + 3x(4) = distance
4x + 3x(4) = 80
4x + 12x = 80
16x = 80
divide both sides by 16
x = 80 / 16
x = 5
Therefore, the speed of the faster car is 15 miles per hour.
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Solve each system by substitution. Check your answers.
x + 12y = 68 , x=8y-12
By substitution, the solution of the system of equations, x + 12y = 68 and x = 8y - 12, is (20 , 4).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
x + 12y = 68 (equation 1)
x = 8y - 12 (equation 2)
Since the second equation is already expressed in x in terms of y, substitute the value of x to the first equation.
x + 12y = 68 (equation 1)
(8y - 12) + 12y = 68
8y - 12 + 12y = 68
Combining all terms containing the variable y on one side and the constants on the other side of the equality, and solving for y.
8y - 12 + 12y = 68
8y + 12y = 68 + 12
20y = 80
y = 4
Substitute the value of y in the second equation and solve for x.
x = 8y - 12 (equation 2)
x = 8(4) - 12
x = 32 - 12
x = 20
Hence, the solution of the given system of equations is (20 , 4).
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If w = 24, what is the value of 2w − 18?
30
8
206
66
Answer:
30
Step-by-step explanation:
Substitute 24 for w
2(24) - 18
multiply 24 by 2
48 - 18
Subtract 18 from 48
Answer: 30
hi, 12 points available
I was just wondering if anyone knows the answer to this question?
Two numbers, Greater than 1, which have A lowest common Multiple of 48?
Answer:16 and 24
Step-by-step explanation:
Solve x³ = 27. A x=9. Bx = 19,683 C_x=3√3. DX = 3
Answer:
D. x = 3
Step-by-step explanation:
[tex] {x}^{3} = 27[/tex]
[tex]x = \sqrt[3]{27} = 3[/tex]
A movie theater is open x hours Monday through Thursday and y hours Friday through Sunday. Write an algebraic expression that represents the number of hours per week the theater is open.
The algebraic expression for total hours that represents the number of hours per week the theater is open is 4 x + 3 y
Number of hours the theatre is opened on Monday to Thursday = x hours.
Number of hours the theatre is opened on Friday to Sunday = y hours.
Number of hours from Monday to Thursday = 4 x hours.
Number of hours from Friday to Sunday = 3 y hours.
Total hours will be represented by the algebraic expression:
Total hours = 4 x + 3 y.
Therefore, the algebraic expression for total hours that represents the number of hours per week the theater is open is 4 x + 3 y
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Are the lines perpendicular?
no, because the slopes of the lines are equal
no, because the slopes of the lines are not opposite reciprocals
yes, because the slopes of the lines are equal
yes, because the slopes of the lines are opposite reciprocals
Write a flow proof.
Given: RQ ≅ ST and RQ || ST
Prove: Δ R U Q ≅ ΔT U S
We can say that ΔRUQ ≅ ΔTUS under RHS condition.
What exactly does this mean by the congruency of a triangle?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: RQ ≅ ST and RQ || ST
To Prove: ΔRUQ ≅ ΔTUS
∠RUQ = ∠SUT = (Inversely proportional)(RHS)RQ = ST = (Given: parallel and as ∠U is same in front of the lines, so the lines will also be same)So, RU = TU = (RHS condition)So, we can say that ΔRUQ ≅ ΔTUS under RHS.
Therefore, ΔRUQ ≅ ΔTUS.
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what are the vertex and range of 7= |x +2| -3
The vertex and range are (-2, -3) and y >= -3 respectively
How to determine the vertex and range?The equation is given as:
y = |x +2| - 3
The above equation is an absolute value equation
An absolute value equation is represented as:
y = a|x - h| + k
Where
Vertex = (h, k)
So, we have
Vertex = (-2, -3)
Also, we have
a = 1
Since a is positive, then the vertex is a minimum
Hence, the vertex and range are (-2, -3) and y >= -3 respectively
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Which line on the graph below has an undefined slope?
On a coordinate plane, line Q is horizontal, line P has a positive slope, line R is vertical, and line S has a negative slope.
P
Q
R
S
The line which has an undefined slope among the answer choices given in the task content as described is; the line R which is a vertical line.
Which line among the given answer choices is that which has an undefined slope?It follows from the task content that the line which has an undefined slope is to.be determined among the answer choices.
Since, the slope of a graph is the rate of change in the vertical axis to that in the horizontal axis; it follows that the slope of vertical lines is undefined.
The statement above is true because, no change is recorded in the X axis of vertical lines. Hence, the denominator in the slope formula is; 0 and ultimately, the slope is undefined.
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Answer:
Step-by-step explanation:
The answer is R
solve for x in terms of y
4x+2y=7
Answer: [tex]x=\frac{7-2y}{4}\\[/tex]
Step-by-step explanation:
4x+2y-2y=7-2y
4x= 7-2y
[tex]\frac{4x}{4}=\frac{7}{4}-\frac{2y}{4}[/tex]
Simplify: [tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{4}=1[/tex] = x / [tex]\frac{7}{4}-\frac{2y}{4}[/tex] x = [tex]\frac{7-2y}{4}[/tex]
Please answer questions 10-16. It would help me a whole bunch! You would be a total lifesaver! DUE TONIGHT!
Answer:uh I think its a carrot
Step-by-step explanation:
what is 20x-14x=21-10
:))
20x-14x=21-10
6x=11
x=11/6
☞ user58580~ ♥
Answer:
The Answer is x=11/6
Step-by-step explanation:
Hope this helps!!
-4(x+7)+7x+2
combine like terms
Answer:
3x-26
Step-by-step explanation:
-4(x+7)+7x+2
Multiple -4 By 7
-4x -28 +7x +2
Group like terms
-4x +7x -28+2
-4+7= 3
3x -28 +2
-28+2=-26
3x-26
Hope this helps! ^^
Simplify the equation please
Answer:
[tex]4(5) {m}^{3} \times {m}^{2} \times {n}^{2} \times {n}^{1} [/tex]
since you know the rules of exponents we are multiplying powers of the same bases meaning we will add the exponents.
[tex] = 20 {m}^{3 + 2} {n}^{2 + 1} \\ = 20 {m}^{5} {n}^{3} [/tex]
What is 7 12/13 as a improper fraction?? I rlly need help
Answer: 103/13
Step-by-step explanation:
7 * 13 = 91
91 + 12 = 103
Sadie worked 14 hours last weekend at Pickles and Onions sub shop. On Saturday, her gross
income was $90 but her net income was only $77.75. On Sunday, her gross income was $120
and her net income was $101.38.
How much did Sadie pay in payroll taxes for the weekend? /PLS HELP
Answer:
$30.87
Step-by-step explanation:
Saturday
- gross: $90
- net: $77.75
Sunday
- gross: $120
- net: $101.38
Total gross: 90 + 120 = $210
Total net: 179.13
Total tax: 210 - 179.13 = 30.87
Solve each equation. 3(w-8)=36
The solution of the given linear equation 3(w -8) = 36 in one variable is at w = 20.
According to the given question.
We have a linear equation in one variable 3(w - 8) = 36.
Since, we have to solve the above equation for w.
As we know tha, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Therefore, the solution of the linear equation in one varibale 3(w - 8) = 36 is given by
3(w - 8) = 36
⇒3w - 24 = 36 ( by distributive property)
⇒ 3w = 36 + 24 (adding 24 both the sides)
⇒ 3w = 60
⇒ w = 60/3 (dividing both the sides by 3)
⇒ w = 20
Hence, the solution of the given linear equation 3(w -8) = 36 in one variable is at w = 20.
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Which of the following numbers is an imaginary number?
A. -3²
B. (-5)2
C. √5
D. √-49
E. -√36
Answer:
B
Step-by-step explanation:
-3^2 =+8999999999999999999999(9())))))))(-"""&+(()))))(&&%422222222222223
Exponential form is a shorter form of _______________ multiplication.
Answer:
repeated
Step-by-step explanation:
Find L in the cone
please hurry
The length of slant height l is √98 ft. when diameter of cone and height of cone is 7 ft.
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
Here, the diameter of cone is given as : 14ft.
also, the height of cone is : 7 ft.
the radius r of base will be half of diameter :
r = b/2
r = 14/2 = b
Now to find the slant height of the cone we use Pythagoras theorem between the base of cone b, height of cone h and slant height l that is :
h² + r² = l²
7² + 7 ² = l²
l² = (2x7²)
l = 7 √2 ft. or √98 ft.
Therefore, the length of slant height l is √98 ft.
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We can use the pythagorean theorem to answer this question.
We know that [tex]l[/tex] is the hypotenuse, and the 2 sides are 7 and 7.
So, we can build the equation:
[tex]7^2+7^2 = l^2[/tex]
[tex]98 = l^2[/tex]
[tex]\sqrt{98} = l[/tex]
.
Myra is reading an article about the success of introduced species of animals into the United States.
Which person is most likely considered the authority on the subject?
a zoologist
a microbiologist
a physicist
a chemist
The person that is most likely considered the authority on the subject is A. a zoologist.
Who is a zoologist?It should be noted that a zoologist simply means the individual that study animals and how they interact with their ecosystem.
In this case, Myra is reading an article about the success of introduced species of animals into the United States.
Therefore, the person that is most likely considered the authority on the subject is a zoologist.
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