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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Katie is mixing a new blend of perfume. Her formula calls for 12% lavender solution. She has two bottles. One is 15% and the other is 6%. How many ounces of each does she need to make 18 ounces of 12%?
Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100.01
First, determine the total amount of lavender solution needed for the 18 ounces of perfume.
This is 18 ounces x 12% = 2.16 ounces.
Next, determine the amount of lavender solution in the 15% solution. This is 2.16 ounces / 0.15 = 14.4 ounces.
Subtract the amount of lavender solution in the 15% solution from the total amount needed. 2.16 - 14.4 = 0.76 oz
Determine how many ounces of the 6% solution are needed. This is 0.76 oz / 0.06 = 12.67 oz
Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
Hence, Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
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A road that is two miles long is divided into three equal sections what was the length of each section
Answer:
2/3
Step-by-step explanation:
Divide 2/7 by 1.5
5.25
1/2
4/21
6/14
The answer would be 4/21 if divided 2/7 by 1.5 which is the correct option (C).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have to determine the divide 2/7 by 1.5
⇒ 2/7 ÷ 1.5
Here 1.5 = 3/2
⇒ 2/7 ÷ 3/2
Apply the division operation between both term
⇒ (2/7)/(3/2)
Reciprocal the terms, we get
⇒ (2/7)×(2/3)
⇒ (2×2)/(7×3)
⇒ 4/21
Therefore, the answer would be 4/21
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Show that ABC is right triangle A(-7,-2), B(-3,-3) C(-4,-7)
Answer:
Step-by-step explanation:
slope of AB = (-3 - (-2)) / (-3 -(-7) = -1/4
slope of BC = (-3 - (-7)) / (-3 -(-4) = 4/1
As the slopes of AB and BC are negative reciprocals of each other, they are perpendicular and therefore triangle ABC is a right triangle.
Consider the arithmetic sequence with a first term of 11 and sixth term of 21. What is the
sum of these first six terms?
A: 192
B: 52
C: 142
D: 96
Answer:
96Consider the arithmetic sequence with a first term of 11 and sixth term of 21. What is the
sum of these first six terms?
The required sum of the first 6th term of an arithmetic progression is 96. Option D is correct.
Given that,
Consider the arithmetic sequence with the first term of 11 and the sixth term of 21. To determine the sum of these first six terms.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
First term a = 11
6th term = a + 5d
21 = 11 + 5d
5d = 10
d = 2
Now,
sum of the six terms, = 6 / 2{11 + 21}
= 3 (32)
= 96
Thus, the required sum of the first 6th term of an arithmetic progression is 96. Option D is correct.
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show if the following numbers are rational 1¾
Answer:
Rational!
Hope that helps!
Step-by-step explanation:
if a small cup is 10 oz and cost 2.69 what is the cost per ounces
Answer:
The cost per ounce of the small cup is $0.269
Step-by-step explanation:
To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.
Cost per ounce = Cost of the cup ÷ Number of ounces in the cup
Cost of the cup = $2.69
Number of ounces in the cup = 10 oz
So,
Cost per ounce = $2.69 ÷ 10 oz
Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)
Therefore, the cost per ounce of the small cup is $0.269.
The length of the table is 118 as long as its width.
Find the ratio of the length of the table to its width.
1
Step-by-step explanation:
ratio of length to width equal length per width
You have a four color spinner and a six color spinner. Both are spun at the same time. What are the total number of possible outcomes?
Answer:
24
all u have to do is draw out a tree diagram or multiply 6*4
The rectangles shown below are similar.
Which statement below shows the correct proportion between their sides?
Answer:
12/4 = L/8
Step-by-step explanation:
.......................
Garrett earned $ 410,60 in net pay for working 37 hours. He paid $ 159.61 infederal and state taxes, and $ 66.37 in FICA taxes. What is Garrett's hourly wage?Round your answer to two decimal places. If answer doesn't have twodecimal placesinclude zeros to make two decimal places.
Garrett earned $410.60 in net pay for working 37 hours. He paid $159.61 in federal and state taxes, and $66.37 in FICA taxes. To find his hourly salary, we just need to find his actual salary(his net pay plus the value he paid in taxes) and divide by the total amount of worked hours.
His earnings before taxes are given by his net pay plus the tax values
\(410.6+159.61+66.37=636.58\)Since he worked 37 hours, his hourly salary is given by
\(\frac{636.58}{37}=17.2048648649\ldots\approx17.20\)His hourly salary is $17.20.
Find the equation of the line parallel to the graph of – x – 4y = 3 that contains the point (0,1).Write the answer in slope-intercept form.
Solution:
Let us denote by L1 the line represented by the following equation:
\(-x-4y=3\)If we convert this equation to slope-intercept form, we get:
\(y=-\frac{1}{4}x-\frac{3}{4}\)then, the slope of L1 would be -1/4. Now, the slopes of parallel lines are equal. According to this, we have that the provisional equation of the line parallel to L1 is:
\(y\text{ =-}\frac{1}{4}x+b\)Now, since this line contains the point (0,1), this means that the y-intercept b is equal to 1. So, the equation of the line parallel to L1 is:
\(y\text{ =-}\frac{1}{4}x+1\)then, we can conclude that the correct answer is:
\(y\text{ =-}\frac{1}{4}x+1\)Suppose the original quantity is $30 and the new quantity is $39. Estimate the percent change. Is this an example of a percent increase or a percent decrease?
Answer:
Step-by-step explanation:original quantity = $30
New quantity = $39
increase amount = 39-30 = 9
Percent change:
30 x = 9
x = 9/30
x = 0.3
0.3x 100 = 30%
Since the quantity grows, it's a percent increase.
Juan buys a bond with a fixed coupon rate of 3%. Six months later, similar
bonds that are issued have a coupon rate of 4%. Which of the following is
TRUE? *
The coupon rate is the annual income that is expected by an investor.
What is a coupon rate?Your information is incomplete as the options aren't given. Therefore, an overview of the coupon rate will be given.
The coupon rate simply means the annual income that an investor can expect to receive when he or she holds a particular bond.
It's fixed when the bond is being issued and calculated by dividing the sum of the annual coupon payment by the par value.
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Find the unit rate. 3/8 mile in 3/4 hour
We are required to find the unit rate, that is, miles per hour
The unit rate is 1/2 miles per hourNumber of miles = 3/8 mileNumber of hours = 3/4 hourTherefore, unit rate = = 3 / 8 ÷ 3/4= 3 / 8 × 4/3= 12/24= 1/2Read more:
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There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
Answer: theres really no question here
Step-by-step explanation:
Given the initial inequality 2 > -4, identify whether the operation preserves the inequality symbol or reverses the inequalitysymbol.Add -2 to both sides.
ANSWER:
Preserves the inequality
STEP-BY-STEP EXPLANATION:
We have the following expression:
\(2>-4\)We add -2 on both sides and we have
\(\begin{gathered} 2-2>-4-2 \\ 0>-6 \end{gathered}\)This is true, therefore the equality symbol remains the same
Solve for y. 2(y-2) -6y=-28
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
V(x, y, z) = 5x2 − 3xy + xyz (a) Find the rate of change of the potential at P(6, 6, 5) in the direction of the vector v = i + j − k.
Answer:
\(D_{\vec{v}}V(6,6,5)=48\)
Step-by-step explanation:
You have the following potential function:
\(V(x,y,z)=5x^2-3xy+xyz\) (1)
To find the rate of change of the potential at the point P(6,6,5) in the direction of v = i + j - k, you use the following formula:
\(D_{\vec{v}}V(x,y,z)=\bigtriangledown V(x,y,z)\cdot \vec{v}\) (2)
First, you calculate the gradient of V:
\(\bigtriangledown V(x,y,z)=\frac{\partial}{\partial x}V(x,y,z)\hat{i}+\frac{\partial}{\partial y}V(x,y,z)\hat{i}+\frac{\partial}{\partial z}V(x,y,z)\hat{i}\\\\\bigtriangledown V(x,y,z)=(10x-3y+yz)\hat{i}+(-3x+xz)\hat{j}+(xy)\hat{k}\\\\\bigtriangledown V(6,6,5)=(10(6)-3(6)+(6)(5))\hat{i}+(-3(6)+(6)(5))\hat{j}+((6)(6))\hat{k}\\\\\bigtriangledown V(6,6,5)=72\hat{i}+12\hat{j}+36\hat{k}\)
Next, you replace in the equation (2):
\(D_{\vec{v}}V(6,6,5)=(72\hat{i}+12\hat{j}+36\hat{k})\cdot(\hat{i}+\hat{j}-\hat{k})\\\\D_{\vec{v}}V(6,6,5)=48\)
Then, the rate of change of the potential at the point P(6,6,5) in the direction of v, is 48.
One hall can accommodate 65 people. How many halls are required to accommodate 520 people?
8 halls would be required to accommodate 520 people in the hall.
As we know that a hall can accommodate 65 people.
To determine the number of hall required for 520 people,
first we need to find that how many halls would be required for one person,
So, we will divide the 1 by 6 to find :
The number of one person accommodate = 1/65 Hall
Then, 520 people required to accommodate = 1/65 × 520
= 8 Halls.
[Accommodate: to have enough space for somebody/something, especially for a certain number of people]
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Question 1 (1 point)
A triangle has two angles with measures of 40 degrees and 60 degrees. What is the
measure of the third angle?
degrees
Answer: 80 degrees
Step-by-step explanation:
all angle measures in one trianlge is 180 degrees so 60+40=100
180-100= 80
Un banco de México es comprado por otra institución de origen español. El nuevo director, decide fusionar la operación entre ambas instituciones donde se aprovisionen servicios de internet desde España a México. Para lograr lo anterior, ¿qué debe plantear el director como proyecto para unir ambas operaciones?
Question:
A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?
My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.
Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.
42.1 in expanded form
Answer:
40+2+0.1
Step-by-step explanation:
Mitch works at Comedy Cinema's concession stand. He has
helped 16 customers so far today. Find the cost of each person's
purchase and write it in the table. Then solve the riddle by writing
the letter of each answer in its matching blank.
Answer:
Step-by-step explanation:
Students use algebra to solve equations (of the form px + q = r and p(x + q) = r where p, q, and r are specific rational numbers); using techniques of making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse) to solve for the variable.
Students identify and compare the sequence of operations used to find the solution to an equation algebraically, with the sequence of operations used to solve the equation with tape diagrams. They recognize the steps as being the same.
Students solve equations for the value of the variable using inverse operations; by making zero (adding the additive inverse) and making one (multiplying by the multiplicative inverse).
(10 − 343) − 2 × 6 simplify the operation using the order of operations
\(\huge\text{Hey there!}\)
\(\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}\)\(\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}\)
\(\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark\)
\(\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
(2/7×8/4)+2/3÷(2/6×3/6+1/6)
Answer:
Answer attached
Step-by-step explanation:
Boris finished his English assignment in 1/2 hours. Then he completed his history assignment in 1/5 hours. What was the total amount of times Boris spent doing these two assignments?
The total amount of times Boris spent doing these two assignments is 7/10 hours
What was the total amount of times Boris spent doing these two assignments?The given parameters are:
English = 1/2 hours
History = 1/5 hours
The total amount of times Boris spent doing these two assignments is
Total = 1/2 + 1/5
This gives
Total = 7/10
Hence, the total amount of times Boris spent doing these two assignments is 7/10 hours
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What is 5x6 + (5x5-5) to the 2nd power
Answer: 2500
Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500
Matemáticas resolver problemas
Sheena receives change of $7.55 after paying $20 bill.
How much is the change Sheena receives?Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.
Therefore,
Sheena buys three items, one sandwich and two pretzels.
Given the rate of sandwich = $6.95
Rate of pretzels = $2.75 each
So rate of two pretzels = $2.75 x 2 = $5.5
Total amount paid = $20
To find the change she receives ,
Total payment paid - total amount of items
Total amount for items = $6.95 + $5.5
= $12.45
Change receives = $20 - $12.45
= $7.55
Therefore the change Sheena receives is : $7.55.
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2/3 divided by 4 and 1/6
Answer:
the answer is 0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
2/3 divided by 4 and 1/6
Answer is 1