The mortality rate will be 180 per 100000 people.
How to calculate the value?From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.
Therefore the mortality rate will be:
= 595700 / 321 million
= 0.0018
Therefore the mortality rate will be 180 per 100000 people.
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How much larger is 3/4 than 2/3
Answer:
3/4 = 0.75 2/3 = 0.6667 Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.75 is greater than 0.6667 which also means that 3/4 is greater than 2/3.
Step-by-step explanation:
g(x)=3x+1
f(x) =x^2 + 3x^2
Find g(2)•f(2)
Answer:
112
Step-by-step explanation:
Just plug in 2 into the equations and then multiply them together at the end.
g(2) = 3(2) + 1
= 6 + 1
= 7
f(2) = (2)² + 3(2)²
= 4 + 3(4)
= 4 + 12
= 16
g(2) × f(2)
7 × 16 = 112
what is −3.6 ÷ 2 1/7
The result of the evaluation as given in the task content is; -42/25.
Fraction divisionIt follows from the task content that the result of the evaluation is required.
First, -3.6 and 2 1/7 can be converted to fractions as follows;
-3.6 = -36/10 = -18/5
2 1/7 = 15/7
Hence; −3.6 ÷ 2 1/7
= -18/5 ÷ 15/7
= -18/5 × 7/15
= -42/25.
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Find the amount of simple interest earned for depositing the given principle in an account. if $4200 is invested at 4.5 % for 4 months
Simple interest: $
well, keeping in mind a year has 12 months, thus 4 months is really 4/12 of a year
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$4200\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\to \frac{4}{12}\dotfill &\frac{1}{3} \end{cases} \\\\\\ I = (4200)(0.045)(\frac{1}{3}) \implies I=63[/tex]
Saiqa spent a total of Rs. 280.75 on a book, a pen and a file. The pen cost Rs. 20.25 more than the file. The book cost Rs. 13.20 less than the pen. How much did she spend on the file and the pen?
The price of the file is Rs 89.18 and pen is Rs 109.43 as calculated from a linear equation .
An equation is said to be a linear equation if the maximum power of the variable is consistently 1.
Another name for it is a only one-degree equation is linear equation.There are only one or two variables in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Let us consider the cost of the file be x dollars.
Then cost of the pen = x + 20.25
And cost of the book = x + 20.25 - 13.20 = x - 7.05
The cost of all three items together is 280.75
Now we will form a linear equation in x to find the cost of each of the pen, book and file separately.
x + x + 20.25 + x - 7.05 = 280.75
or, 3x + 13.20 = 280.75
or, 3x = 267.55
or, x = 89.18
Hence the cost of the file is approximately Rs 89.18
Cost of the pen = 89.18 + 20.25 = Rs 109.43
Cost of the book = x - 7.05 = 89.18 - 7.05 = Rs 82.13
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If your expenses are more than your income, then you have a positive net cash flow . True or false?
Answer:
True it is because my expenses is more than my income
determine a series of transformations that would map polygon abcd onto polygon a'b'c'd
Answer: a reflection across the y-axis and scaling it by a factor of 1/2
Step-by-step explanation: First, you need to reflect the shape over the y-axis to move it into the neighboring quadrant. After that, you scale the polygon down by a factor of 1/2, because the lengths of the line segments of A'B'C'D' are half the length of the original polygon, ABCD.
PLEASE HELP DUE SOON!
I'm so confused, help determine the 100th line segment from question below!
Answer:
20200
Step-by-step explanation:
As you're in a hurry, I can give it later? xx
I don’t know how to do this -2(-5+n)=6 ?
Answer:
n = 2
Step-by-step explanation:
So all you have to do is solve:
-2(-5 + n) = 6
= 10 + -2n = 6
= -2n = -4
= n = 2
This means that n = 2.
But what if I'm wrong? So lets see if it works.
-2(-5 + 2) = 6
10 - 4 = 6
6 = 6
So n = 2 is right.
Hope this helped! :D
Answer:
n = 2Step-by-step explanation:
I don’t know how to do this -2(-5+n)=6 ?
-2*(-5+n)=6
10 -2n = 6
10 - 6 = 2n
4 = 2n
2 = n
-----------------
check
-2 ( -5 * 2) = 6
10 - 4 = 6
6 = 6
Find a conversion factor between square feet and square yards. Write it in three forms.
Select one:
A. 1 yd^3 = (3 ft)^3 = 27 ft^3
B. 1yd^3 = (3 yd)^3 = 27 yd^3
C. 1 yd^2 = (3 ft)^2 = 9 ft2
5 D. 1ft^2 = (3 yd)^2= 9 yd^2
By dimensional analysis and the conversion factor between feet and yards, we find that a square yard is equal to a quantity of 3² square yard, that is, a quantity of 9 square feet. (Correct choice: C)
What is the conversion factor between two quantities in area units?
In accordance to dimensional analysis, area units are equal to the square of length units, that is, length unit multiplied by length unit. That is:
[A] = [L] × [L] = [L]²
Where:
L - Length unit
A - Area unit
If a yard is equal to a quantity of three feet, both length units, then a square yard is equal to a quantity of 3² square feet, that is, a quantity of 9 square feet, both area units. Therefore, we can construct the following conversion factor:
1 square yard = (3 feet)² = 9 square feet
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A certain smartphone regularly costs $849. During a clearance sale, it was marked down 30%. One day, an additional 10% was taken off already-reduced prices. Ignoring tax, what was the final price after both discounts were applied?
Answer:
$534.87
Step-by-step explanation:
($849)30%
=$254.7
subtract product from original sum $849-254.7=
$594.3
($594.3)10%=
59.43$
594.3$-59.43$=
534.87$
Three angles are supplementary, angle one has a measure of 7x+10, angle two has a measure of 3x+4 and angle three has a measure of 3x+8.
Given that the angles are supplementary what is the measure of angle one? Round your answer to the hundredths place
The measure of the angle 1 is 95.05 degrees.
It is given in the question that:-
Measure of Angle 1 = 7x + 10
Measure of Angle 2 = 3x + 4
Measure of Angle 3 = 3x + 8
All the angles are supplementary.
We know that, the sum of all the supplementary angles is equal to 180 degrees.
Hence, we can write,
(7x + 10) + (3x + 4) + (3x + 8) = 180
(7x + 3x + 3x) + (10 + 4 + 8) = 180
13x + 22 = 180
13x = 180 - 22
13x = 158 degrees
x = 158/13 degrees
x = 12.15 degrees (rounded off to the hundredths place )
Hence,
Measure of angle 1 = 7x + 10 = 7(12.15) + 10 = 85.05 + 10 = 95.05 degrees.
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50 points please show your work and answer all of them
Answer/Step-by-step explanation:
Convert:
8m to _800_cm
K H D B D C M
8 -> 80 -> 800
---------------------------------------------------------------------------------------------------
Interpret and simplify:
1 added to the difference of 12 and 9
1 + (12 - 9)
1 + (3) = 4
---------------------------------------------------------------------------------------------------
Write a positive or negative integer that represents the following:
A football team loses 14 yards on a play.
loses indicated a negative
-14
------------------------------------------------------------------------------------------------------
Evaluate:
4 3
------- + -------
20 12
4 (3) 3 (5)
------- + -------
20 (3) 12 (5)
12 15 27
------- + ------- = -------
60 60 60
27 ÷ 3 9
------- = --------
60 ÷ 3 20
----------------------------------------------------------------------------------------------------------
Write the Prime Factorization of 24.
24
/ \
2 × 12
/ \
2 × 6
/ \
2 × 3
Prime factorization = 2 × 2 × 2 × 3 or 2³ × 3
----------------------------------------------------------------------------------------------------------
Tell whether the ordered pair is a solution of the equation:
y = x + 7; (1, 6)
(x, y)
6 = 1 + 7
6 = 8
Not a solution
----------------------------------------------------------------------------------------------------------
Simplify and Graph the following:
x = -2 - 3
x = -5
↑
<-----|--------------------------------->
-5
↓
Don't worry about the other numbers. Put a dot on -5 and draw a line vertically (up and down).
----------------------------------------------------------------------------------------------------------
If the weight of a package is multiplied by (5/7). The result is 40.5 pounds. find the weight of the package.
x(5/7) = 40.5
--------- --------
÷(5/7) ÷(5/7)
x = 56.7
----------------------------------------------------------------------------------------------------------
A = (1/2)bh
A= (1/2)(8)(5)
A = (1/2)(40)
A = (20)
A = 20in²
----------------------------------------------------------------------------------------------------------
I hope this helps!
Help please .
I can’t figure out magnitude . Can anyone help me ASAP ?
Answer:
|-20| |12.3| |8| |-6| |-4| |2 3/10|
Step-by-step explanation:
Magnitude in this context means that they want you to order the values from greatest to least. These are all absolute values and that means distance from zero without regard to sign. So if you just stripped the signs and absolute value symbols off of each value, then ordered them from largest to smallest, and THEN added the signs and absolute value symbols back, you have the answer.
Answer:
From greatest to least magnitude
|-20|
|12.3|
|8|
|-6|
|-4|
[tex]\lvert {2 \frac{3}{10}}\rvert[/tex]
Step-by-step explanation:
The absolute value of a number |x| is the positive value of x. So if x is positive then it's the number itself and if x is negative it is the positive value of the number
Ex. |5| = 5 and |-5| = 5
Take the absolute values of each of the numbers first
|12.3| = 12.3
|-20| = 20
|2 3/10 | = 2 3/10 = 23/10 = 2.3
|-4| = 4
|8| = 8
|-6| = 6
Now arrange these numbers from greatest to least. The order is
20, 12.3, 8, 6, 4, 2.3
So in terms of the original numbers this corresponds to
|-20| , |12.3| , |8|, |-6| , |-4| , |2 3/10|
3) A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice
the width. Express the surface area of the box as a function of the width.
Point Breakdown
1) 8 points (4/4)
2) 6 points
3) 6 points
A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice the width.The surface area of the box as a function of the width is (4b³ +36)/b.
volume 12 cubic feet
volume =(l)(b)(h)=12
l=2b
(2b)(b)(h)=12
h=6/b²
Surface area = 2 (lb + bh + lh)
= 2((2b)(b) + b(6/b²) + 2b(6/b²))
=4b² + 12/b + 24/b
= (4b³ +36)/b
A three-dimensional object's surface area is the sum of all of its faces. Real-world applications of the notion of surface areas include wrapping, painting, and finally constructing things to get the greatest potential design.
An object's surface area is the total area that all of its surfaces occupy. The formulae we will learn in this post make it simple to determine the various surface areas that various 3D forms in geometry have. There are two groups for the surface area:
The surface area that is laterally oriented or curved
Surface area overall
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Connor missed 12 out of his last 18 free throws. What is the experimental probability that
Connor will miss his next free-throw attempt?
Write your answer as a fraction or whole number.
The experimental probability that Connor will miss his next free-throw attempt is 2/3.
How to calculate the probability?From the information, Connor missed 12 out of his last 18 free throws.
Therefore, the probability will be:
= Number of missed throws / Total throws
= 12/18
= 2/3
Therefore, the experimental probability that Connor will miss his next free-throw attempt is 2/3.
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Find the approximate side length of a square game board with an area of 200 in².
The length of the side is 10√2 cm.
To solve this problem we need to know the concepts of area of plane figures.
We know the area of a square is the square of its sides.
Now, the given data says that the area of a square game board is 200 sq.cm.
Let the side of the square be a cm.
According to question,
a × a=200
⇒ a² = 200
⇒ a = √200
∴ a = 10√2 cm
So, the length of one side of the square game board is 10√2 cm.
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what is equivalent to 10+ 4(-8q - 4)?
.25 = p ,
Solution :
equivalent to 10+ 4(-8q - 4)
Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom.
Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at
examples of equivalent equations
Equivalent equations are algebraic equations that have identical solutions or roots.
Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.
Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
The first step is to know the rules of equivalent equations:
Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.
Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
Raising both sides of the equation to the same odd power or taking the same odd root will produce an equivalent equation.
If both sides of an equation are non-negative, raising both sides of an equation to the same even power or taking the same even root will give an equivalent equation.
Solution :
10+ 4(-8q - 4)=0
10+ 4(-8q ) = 4
10-24 p =4
10 -4 =24 p
6 =24 p
6/24 = p
1/4 = p
.25 = p
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HELP PLEASE
The absolute value inequality 5 <= I x l — n is graphed below. What is the value of n?
Answer:
I think the answer is 7
Step-by-step explanation:
w = 5x² + 3
x = -3
Work out the value of w.
Answer:
48
Step-by-step explanation:
w = 5x² + 3
x = -3
w = 5(-3)² + 3
w = 5(9) + 3
w = 45 + 3
w = 48
Estimate using compatible numbers then find quotient 62÷1178
Answer:
the answer would be 0.05
PLS HELP IM TIMED!!!
Answer:
MDS/GDS
10....../9.6
8......./7.6
4.75./4.69
4......./3.6
(I hope so)
A parking lot is shaped like a parallelogram and bounded on four sides by streets, as shown in the figure to the right. How much asphalt (in square yards) is needed to pave the parking lot?
The amount of asphalt needed to pave the parking lot is __ yd^3, yd, or yd^2
Amount of Asphalt needed = 27000 square yards
The shape of the parking lot is a parallelogram.
In the figure, the base of the parking lot is of length 180 yd and the height of the parking lot is 150 yd.
If 'b' is the base of the parallelogram and 'h' its height, then area of the parallelogram, A = bh
So here, base length, b = 180 yd
and height, h = 150 yd.
Therefore, area of the parking lot which is parallelogram, A = bh
= 180 x 150
= 27000 yd² (square yards)
Amount of Asphalt needed to pave the parking lot = Area of the parking lot
= 27000 square yards
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Sofia reads 8 books over summer break. Her brother reads 3 fewer books than she reads. How many books do Sofia and her brother read in all? They read books in all.
Answer:
13
Step-by-step explanation:
8-3 is 5, so her brother read 5 books. 8+5=13 so they read 13 total books.
200 applicants applied to volunteer at an international tennis tournament.
14
of the applicants were successful. However, of the successful applicants, 15
couldn’t make all the training sessions and were discounted.
How many were selected to help at the tournament?
The number of volunteers who are selected for the tennis tournament is 40 as calculated by the fractions.
A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces. A fraction in spoken English refers to the number of components of a particular size.
A fraction consists of a numerator and a denominator. The numerator divided by the denominator is known as a fraction.
Compound fractions, complicated fractions, and mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.
There are a total of 200 applicants who volunteered at the tennis tournament.
1/4 of the volunteers were successful.
Number of successful applicants= [tex]\frac{1}{4} \times 200=50[/tex]
Now 1/5 of the successful candidates could not complete the training.
Number of unsuccessful candidates= [tex]\frac{1}{5} \times 50=10[/tex]
Number of Volunteers selected to help at the tournament= 50-10=40
Hence 40 candidates were selected to help at the tournament.
Disclaimer: The complete correct question is :
200 applicants applied to volunteer at an international tennis tournament.1/4th of the applicants were successful. However, of the successful applicants, 1/5th couldn’t make all the training sessions and were discounted. How many were selected to help at the tournament?
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Function yes or no whag is the domain and range?
Step-by-step explanation:
to be a function every value of x must have exactly one value of y.
in other words, if you create a vertical line and move it across the whole chart (e.g. from left to right), this line must not even once intersect the function curve more or less than once.
so, this is clearly a given here. yes, it is a function.
the domain is the interval or set of all valid x (input) values. and that starts on the right with x = 5 (included in the function indicated by the filled dot). and it goes endlessly to the left. that means -infinity (but not included as "infinity" is only a symbol but not a number).
-infinity < x <= 5
the range is the interval or set of all valid y (function result) values.
and that starts on the top with y = 2 (included). and it goes endlessly down. that means again -infinity (not included).
-infinity < y <= 2
A company invests $15,000 to produce a product that will sell for $56.75. Each unit costs $9.25 to produce. (Round your answers to the nearest whole number.) (a) How many units must the company sell to break even? units (b) How many units must the company sell to make a profit of $105,000? units
Answer:
x = 2,495 units
Step-by-step explanation:
16000 + 9.45x = 55.95x
by solving we find:
x = 344 units
the company must sell 344 units to break even.
b) How many units must the company sell to make a profit of $100,000?
55.95x - (16000 + 9.45x) = 100000
Is a solution given?
Answer:
No, it is not given
Step-by-step explanation:
Round 34608 to the nearest hundred
Answer:
3460800.00
explanation:
13.95 + 0.49x = 50 - 13.95 - x
Whats the value of x please i have a test today
Answer:
14.832
Step-by-step explanation:
I hope this helps good luck