Answer:
m angle 2 = 60° (vertically opposite)
m angle 3 = 120° (linear pair)
m angle 1 = 120° (linear pair)
Given a sphere with a diameter of 6.2cm, find its volume to the nearest whole
Answer:
the answer is 12
Step-by-step explanation:
d=2r=2*6.2=12.4
Simplify:
3^x-1 × 27^x+1
___________
81^x
Answer:
3^x-1×27^x+1
___________
81^x
81^x+x-1+1
_________
81^x
81^2x
_____
81^x
81^2x-1x
81^1x
Farid spends 5/8 of his monthly salary every month. If he spends $63.20 for house rent that is 40% his total monthly expenditure, how much is his monthly salary?
Answer:
$252.8
Step-by-step explanation:
Total expenditure
63.20 = 40%
y = 100%
40y = 6320
Divide both sides by 40
y = 158
His expenditure is $158.00
Expenditure is 5/8 of salary
Remaining amount = 3/8
5 = 158
3 = y
474 = 5y
Divide both sides by 5
y = 94.8
Therefore 3/8 = 94.8
Salary = expenditure + remaining
S = 158 + 94.8
S = 252.8
Therefore his salary is $ 252.80
Russell is going to hire a makeup artist for a fashion show and is comparing prices. Martha charges $10 as a booking fee and an additional $40 per hour. Jackie charges $35 per hour, plus a booking fee of $20. Depending on the length of the show, the cost could end up being the same for either artist. Write the system of equations for this scenario and define the variables.
After solving the equation, the number of hours obtained is that after 2 hours, the cost ends up being the same for either artist.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Booking fee of Martha = $10
Additional hourly charge of Martha = $40
Then, the equation will be,
y = $10 + $40x (i)
Here, y is the total cost and x is the number of hours.
Booking fee of Jackie = $20
Additional hourly charge of Jackie = $35
Then, the equation for this will be,
y = $20 + $35x (ii)
Here, y is the total cost and x is the number of hours.
Then, depending on the length of the show, the cost could end up being the same for either artist.
So,
From equations (i) and (ii)
$20 + $35x = $10 + $40x
20 - 10 = 40x - 35x
5x = 10
x = 2 hours
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The bar graph below represents employment in Boxerville. How many moreemployees worked at BIT Labs than at Boxerville Hardware
Solution:
Given the data below:
To evaluate how many more employees worked at BIT Labs than at Boxerville Hardware, we have
\((number\text{ of employees at BIT labs\rparen-\lparen number of employees at Boxerville hardware\rparen}\)Where
\(\begin{gathered} number\text{ of employees at BIT labs=40} \\ number\text{ }of\text{ }employees\text{ }at\text{ }Boxerville\text{ }hardware=30 \end{gathered}\)Thus, we have
\(\begin{gathered} 40-30 \\ =10 \end{gathered}\)The correct option is D
HELP DUE NOW! BRANLIEST AND LOTS OF PONTS
Answer:
I think it’s a
Step-by-step explanation:
Answer:
please don't waste your points I request you...
Put these groups of numbers starting with the smallest 1.506, 1.06, 1.501, 1.605
Please Solve, Thank you!
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!
THIS IS URGENT. The table above shows the number of students that prefer a particular type of pizza. If there are 25 students
in the class, what percent of students prefer a 4-Cheese pizza?
Answer:
40%
Step-by-step explanation:
Answer:
32%
Step-by-step explanation:
8 of 25=32%
what is 1 5/6−3/4 in simplest form?
The mixed fraction and fraction expression 1 ⁵/₆ - 3/4 in the simplest form will be 13/12.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 1 ⁵/₆ - 3/4
Convert the mixed fraction number into a fraction number. Then we have
⇒ 1 ⁵/₆ - 3/4
⇒ 11/6 - 3/4
⇒ (22 - 9) / 12
⇒ 13 / 12
The mixed fraction and fraction expression 1 ⁵/₆ - 3/4 in the simplest form will be 13/12.
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What is 7/10,7/12,3/8 in order from least to greatest
Answer:
3/8, 7/12, 7/10
Step-by-step explanation:
3/8 = .375
7/10=.70
7/12=.583
Answer:
3/8 7/12 and 7/10
Step-by-step explanation:
i looked it up
The price of an airline ticket was $320, and it is now $400. What is the percent increase in the price of the ticket?
================================================
Work Shown:
A = old price = 320
B = new price = 400
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (400-320)/320 ] * 100%
C = (80/320)*100%
C = 0.25*100%
C = 25%
The positive C value indicates a percent increase.
--------------------------------
A slightly alternative method:
A = old price = 320
B = new price = 400
C = change in price
C = B-A
C = 400-320
C = 80 is the price increase
D = percent change
D = (C/A)*100%
D = (80/320)*100%
D = 0.25*100%
D = 25%
We get the same result as before.
Match each drawing on the left with its geometric notation on the right. Some of the answer choices on the right may not be used.
Answer:
Please attach a photo to this so I can better answer your question
which linear is represented by the graph?
3p + 4q = 22
10p + 12 q = 68
What is p and what is q
(Similtaneous equations)
Answer:
q=4
p=2
Step-by-step explanation:
3p+2q=14
10p+6q=44
10(3p+2q=14)
3(10p+6q=44)
30p+20q=140-
30p+18q=132
2q=8
2q/2=8/2
q=4
3p+2*4=14
3p+8=14
3p=14-8
3p/3=6/3
p=2
hope this helps
Answer:
\(p=2\\q=4\)
Step-by-step explanation:
One is given the following system of equations,
\(3p + 4q = 22\\\\10p + 12q = 68\)
The fastest method to solve a system of equations is the method of elimination. This process is manipulating one of the equations, by multiplying or diving it by a value, such that one of the coefficients variables in the equation is the additive inverse of the like term in the other equation. That way, when one adds the equations, one of the variables cancels out. Then one can solve for the other term. Finally, one can back sovle by substituting the value of the solved variable into one of the equations and simplifying to find the value of the other variable.
\(3p + 4q = 22\\\\10p + 12q = 68\)
Manipulate the first equation so that the variable (q) cancels
\((3p + 4q = 22) *(-3)\\\\10p + 12q = 68\)
\(-9p + -12q = -66\\\\10p + 12q = 68\)
Add the equations,
\(-9p + -12q = -66\\\\10p + 12q = 68\)
\((10p-9p)+(-12q+12q)=(-66+68)\)
Simplify,
\((10p-9p)+(-12q+12q)=(-66+68)\)
\(p=2\)
Backsovle for the variable (p). Substitute the values of (p) into one of the original equations. Then simplify and use inverse operations to solve for the variable (q).
\(3p+4q=22\)
Substitute,
\(3(2)+4q=22\)
Simplify,
\(3(2)+4q=22\)
\(6+4q=22\)
Inverse operations,
\(6+4q=22\)
\(4q=16\\q=4\)
What is 6 degrees is colder than -3 degrees
Answer:
-9 degrees
abcdefghijklmnopqrstuvwxyz
the floor of a shed has an area of 77 square feet the floor is in the shape of a rectangle whose lenght is 3 ft. less than twice the width find the lenght and the width of the floor of the shed use formula area= lenght *width the width of thee floor of the shed is how many feet ft.
Answer:
x=40
Step-by-step explanation:
2−3=77
2−3+3=77+3
2=77+3
2x=80
2x/2=80/2
x=80/2
x=40
Use the following values to evaluate the expression (Will give 69 points)
w = 5, x = 9, y = 2
3. x + 20 - 1
A. 28
B. 19
C. 30
D. 32
(Conexus student)
The solution to the given expression (x + 20 - 1) when x = 9 is: A. 28.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this exercise, you're required to evaluate the given expression and determine its solution. Therefore, we would evaluate the given expression as follows:
x + 20 - 1
Substituting the value of x into the given expression, we have:
Expression = 9 + 20 - 1
Expression = 29 - 1
Expression = 28.
In conclusion, we can reasonably and logically deduce that 28 is the solution to this expression (x + 20 - 1).
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Answer:
a) 28
Step-by-step explanation:
Now we have to,
→ evaluate the expression.
The expression is,
→ x + 20 - 1
Solving the expression,
→ x + 20 - 1
→ 9 + 20 - 1
→ 9 + 19
→ 28
Hence, solution is 28.
How many shipments had at least 10 broken tiles but less than 20 broken tiles ?
Answer:
5 shipments had at least 10 broken tiles but less than 20 broken tiles.
find the missing measure in the figure. figure is not to scale x=__
Let's use pythagorean theorem
\(\begin{gathered} x^2=7^2+24^2 \\ x^2=49+576=625 \\ x=\sqrt[]{625}=25 \end{gathered}\)x = 25 cm
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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the function F(c)=9/5c+32
Answer:
The formula is C=5/9(F-32).
sorry i dont know i am so sorry
10 + 3x < 4 or 2x + 5 > 11 in interval notation
Answer:
( − ∞ , ∞ ) hope i help
Step-by-step explanation:
First, solve each inequality. I'll solve the first one first.
7 ≥ 2 x − 5
12 ≥ 2 x
6 ≥ x
Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:
( − ∞ , 6 ]
The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could
x
be any number less than 6, but it could also be 6.
Let's try the second example:
3 x − 2 4 > 4
3 x − 2 > 16 3 x > 18 x > 6
Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:
( 6 , ∞ )
The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).
Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either x is on the interval ( − ∞ , 6 ] or the interval ( 6 , ∞ )
. In other words, x
is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that
x
could be any real number, since no matter what number
x
is, it will fall in one of these intervals. The interval "all real numbers" is written like this:
( − ∞ , ∞ )
22. The population, P, of the city of Hazelton has grown according to the mathematical model
P = 65,000(1.075)', where t is the number of years since 2005.
a) At what percentage is the population growing? [1 mark]
Answer:
7.5%
Step-by-step explanation:
The exponent 't' is applied to 1.0751.075 is the rate at which it increasesDecimal → % = x 1001.075 × 100 = 107.5%107.5% - 100% = 7.5%there are 750 spectator in the stadium of which 420 are women and the rest are men
Complete Question:
There are 750 spectator in the stadium of which 420 are women and the rest are men. What percent of the spectators are women?
Answer:
Percentage = 56%
Step-by-step explanation:
Given the following data;
Total number of people = 750
Number of women = 420
To find the percentage of women;
First of all, we would determine the number of male spectators (men);
Number of men = Total number of people - Number of women
Number of men = 750 - 420
Number of men = 330
Next, we find the percentage of women;
\( Percentage = \frac {420}{750} * 100 \)
\( Percentage = \frac {42}{75} * 100 \)
\( Percentage = 0.56 * 100 \)
Percentage = 56%
Therefore, the percentage of the spectators that are women is 56%.
maya needs 54 cubic feet of soil for her garden. she already has 4.5 cubic feet of soil. Each bag contains 1.5 cubic feet of soil. How many bags of soil should maya purchase?
Answer:
33 bags
Step-by-step explanation:
she has 4.5 ft³
she needs 54 ft³
she must get an additional
54 ft³ - 4.5 ft³ = 49.5 ft³
each bag has 1.5 ft³
(49.5 ft³)/(1.5 ft³) = 33
Answer: 33 bags
(3x-1)(x-2)=5x+2 ecuación cuadrática incompleta
Hence, the arrangements to the quadratic equation (3x-1)(x-2) = 5x + 2 are x = and x = 4.
Quadratic equation calculation.
To unravel the quadratic equation (3x-1)(x-2) = 5x + 2, let's to begin with grow the cleared out side of the equation:
(3x - 1)(x - 2) = 5x + 2
Growing the condition:
3x^2 - 6x - x + 2 = 5x + 2
Streamlining the condition:
3x^2 - 7x + 2 = 5x + 2
Another, let's move all terms to one side of the condition:
3x^2 - 7x - 5x + 2 - 2 =
Combining like terms:
3x^2 - 12x =
Presently, we have a quadratic condition in standard shape: ax^2 + bx + c = 0, where a = 3, b = -12, and c = 0.
To fathom the quadratic equation, able to calculate out the common calculate of x:
x(3x - 12) =
From this equation, we are able see that the esteem of x can be or unravel for 3x - 12 = 0:
3x - 12 =
Including 12 to both sides:
3x = 12
Isolating both sides by 3:
x = 4
Hence, the arrangements to the condition (3x-1)(x-2) = 5x + 2 are x = and x = 4.
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Drag each number tile to the box with the matching expression. 3 1 2 3 1 3 3 1 4 3 1 6 3 2 3 12 1 2 − 9 1 4 5 3 4 − 2 5 12
Answer:
ggggghhytyhhh
Step-by-step explanation:
ghdhb
Charges for advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is a percentage of the population of 110 million TV households. The CBS television show 60 Minutes recently had a rating of 7.8, indicating that 7.8% of the households were tuned to that show. An advertiser conducts an independent survey of 100 households and finds that at least b+1 were tuned to 60 Minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting at least 5+1 tuned to
60 Minutes.
The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.
How to calculate the probabilityP(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)
P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)
Using a calculator or software, we can find that:
P(X <= 4) = 0.000203
This means that the probability is 0.02%.
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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?
Type your response in the box.
Graph the square root of 10 and pi on a number line. Then write a statement explaining where the points are in relation to each other.
pi is about 3.14, so pi squared is about 3.14 x 3.14.
(do a little long multiplication)
3.14 squared = 9.8596
Since 3.14 squared is less than 10, 3.14 itself is less than sqrt(10).
This means 3.14 is a little bit closer to zero (or to the left) of sqrt(10) on the number line.