Answer:
6/27
Step-by-step explanation:
[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]
The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?
Answer:
Step-by-step explanation:Let our two numbers be a and b . Then we can see that a+b=8 and ab=15 . Now consider
(a+b)3=a3+3a2b+3ab2+b3 by the binomial expansion. Now we have all the information to solve this, observe since a+b=8 and ab=15 . We have
(8)3=a3+3ab(a)+3ab(b)+b3
a3+b3+3ab(a)+3ab(b)=83
a3+b3+3ab(a+b)=83
a3+b3=83−3ab(a+b)
a3+b3=83−3(15)(8)=512−360=152
You can also observe that 3 and 5 fulfill those conditions so, then 33+53=27+125=152 . Which is our result.
Anthony is laying concrete for a driveway. The driveway is to be 24 feet long by 11 feet wide by 8 inches deep. Answer parts (a) through (c)
(a) Determine the volume of concrete needed in cubic feet.
(b) If 1 cubic yard = 27 cubic feet, how many cubic yards of concrete are needed?
(c) If the concrete costs $36 per cubic yard, what is the cost of the concrete? Concrete must be purchased in whole cubic yards
Answer:
a) The volume of concrete needed in cubic feet is 2,112. b) The number of cubic yards of concrete needed in cubic yards is about 79. c) The cost of the concrete using cubic yards is $2,844.
Step-by-step explanation:
a) The formula of the volume is l*w*d. 24 * 11 * 8 = 264 * 8 = 2,112.
b) The way to find this is that you take 2,112 and divide it by 27. Since the answer is 78.2 repeating, you round it up to 79 so it will fill up all of the concrete.
c) Since you need 79 cubic yards of concrete, you do 79 multiplied by $36 to get the total cost of $2,844.
which statements are true select all that apply. Extra points!!!
In Oscar's grade, 70 students are enrolled in health and 30 students are not. What
percentage of the students in the school are enrolled in health?
Write your answer using a percent sign (%).
Answer:
70%
Step-by-step explanation:
Step 1:
70 + 30 = 100 Add
Step 2:
Total of 100 Students
Step 3:
70/100 Divide
Answer:
70%
Hope This Helps :)
Answer:
70% of the students are enrolled in health class.
Step-by-step explanation:
We are given that there are 70 students enrolled in health and that 30 are not. Therefore, we need to determine the total number of students in Oscar's grade.
[tex]70 + 30 = 100[/tex]
Oscar has 100 students in his grade. If 70 of those students are enrolled in health, we can divide those students by the total number of students and convert our fraction to a decimal and then a percentage.
[tex]\displaystyle\frac{70}{100} = \frac{7}{10} = 0.7\\\\0.7 \times 100 = 70\%[/tex]
Therefore, 70% of the students are enrolled in health class.
what ratio is equavelent to 5:4
Answer:
the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.
Step-by-step explanation:
the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.
A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
unit price for 11.3-ounce package = $0.25
unit price for 27.8-ounce package = $0.23
27.8-ounce package is the better buy
Step-by-step explanation:
An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
a) 11.3-ounce package
11.3 ounces = $2.88
1 ounce = $2.88 ÷ 11.3
1 ounce = $0.25
b) 27.8-ounce package
27.8 ounces = $6.48
1 ounce = $6.48 ÷ 27.8
1 ounce = $0.23
$0.25 > $0.23
what is the value of 4/5(8+7)-2/3(8+7)
Answer:
The answer is 2.
Hope this helps and if you could mark this as brainliest. Thanks!
How many lines of symmetry does this figure have?
[Note: The black ball is part of the figure.]
A) 0
B) 1
C) 5
D) 10
Answer:
The answer is B) 1
Step-by-step explanation:
balls
Determine the remaining sides and angles of the triangle ABC
what is the measure of angle B
what is the length of side a
what is the length of side b
Answer:
The measure of angle B is 41.5°
The length of side a is 30.6 feet ⇒ to the nearest tenth
The length of side b is 32.9 feet ⇒ to the nearest tenth
Step-by-step explanation:
The sum of the measures of the interior angles in a triangle is 180°In the given Δ ABC
∵ m∠A = 38.1°
∵ m∠C = 100.4°
→ By using the fact above
∵ m∠A + m∠B + m∠C = 180°
∴ 38.1 + m∠B + 100.4 = 180
→ Add the like terms in the left side
∴ 138.5 + m∠B = 180
→ Subtract 138.5 from both sides
∴ m∠B = 41.5°
∴ The measure of angle B is 41.5°
∵ a is the opposite side of ∠A
∵ b is the opposite side of ∠B
∵ c is the opposite side of ∠C
→ By using the sine rule
∴ [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4
→ Substitute them in the sine rule above
∴ [tex]\frac{a}{sin38.1}[/tex] = [tex]\frac{b}{sin41.5}[/tex] = [tex]\frac{48.4}{sin100.4}[/tex]
→ By using cross multiplication between the 1st and the 3rd fractions
∴ a × sin 100.4 = 48.8 × sin 38.1
→ Divide both sides by sin 100.4
∴ a = 30.61429861
∴ The length of side a is 30.6 feet ⇒ to the nearest tenth
→ By using cross multiplication between the 2nd and the 3rd fractions
∴ b × sin 100.4 = 48.8 × sin 41.5
→ Divide both sides by sin 100.4
∴ b = 32.87596206
∴ The length of side b is 32.9 feet ⇒ to the nearest tenth
how do I know how many extraneous solutions there is
Answer:
how do u know how many extraneous solutions there is?
Step-by-step explanation:
To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes.
Answer: To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes
Step-by-step explanation:
Please can I have brainliest I need one more to rank up
Find the percent as a fraction. Simplify if possible.
33 1/3%
Answer:
The answer would be 100/3
Step-by-step explanation:
Answer: 33 1/3% as a fraction is 1/3. It cannot be simplified. Hope this helps!
An ant starts walking along a parabola, y(x)=x^2 starting from the point where x=3 He walks until a point where x=3+a where a is a positive number. What is the y-coordinate of the point that he is at now?
plz no bs answers
Answer:
the y co-ordinate > 9
Step-by-step explanation:
I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!
Hope this helps!
the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false
Answer: True
Step-by-step explanation:
First find the product of 0.43 and 5.024 so see if it is greater than 0.43.
0.43 * 5.024 = 2.16032
2.16032 is indeed greater than 0.43 , 2.16032 > 0.43
And 0.43 is indeed less than 5.024 , 0.43 < 5.024
Meaning that this state is true.
Answer:
True
Step-by-step explanation:
Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that
0.43 * 5.024 = 2.16032
Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024
...
...
...
That checks out.
True
Brainliest is much appreciated!
A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.
Answer:
I'm gonna get more people here
Answer:
50 hz yw pplz
Step-by-step explanation:
How much simple interest would x dollars earn in 13 months at a rate of r percent?
The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB?
In △BCD, H is the centroid. If HF=6 find BF.
Answer:
18
Step-by-step explanation:
The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex
So HF=⅓BF
So BF=3xHF=3x6=18
An insurance company has written 100 policies for $75,000, 500 policies for $25,000, and 1000 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0015, how much can the company expect to pay out during the year the policies were written? The company can expect to pay out _____ $ over the year after the policies were written.
Answer:
The company can expect to pay out $45,000 over the year after the policies were written.
Step-by-step explanation:
This can be determined as follows:
The probability that a person will die at age 20 = 0.0015
Revenue from 100 policies = 100 * $75,000 = $7,500,000
Revenue from 500 policies = 500 * $25,000 = $12,500,000
Revenue from 1000 policies = 1000 * $10,000 = $10,000,000
Total revenue from all policies = Revenue from 100 policies + Revenue from 500 policies + Revenue from 1000 policies = $7,500,000 + $12,500,000 + $10,000,000 = $30,000,000
Expected amount to pay out during the year the policies were written = Total revenue from all policies * The probability that a person will die at age 20 = $30,000,000 * 0.0015 = $45,000
Therefore, the company can expect to pay out $45,000 over the year after the policies were written.
A submarine started at the
surface of the water and was moving underwater at
22 feet per minute toward the ocean floor. The submarine traveled at this rate
for 75 minutes before coming to rest on the ocean floor. Which of the following
integers represent the depth of the ocean floor in feet?
Answer:
1650
Step-by-step explanation:
75x22+1650
A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube
Answer:
[tex]Volume = 5028.6cm^3[/tex]
Step-by-step explanation:
Given
[tex]Height = 10cm[/tex]
[tex]Diameter = 8cm[/tex]
Required
Determine the volume
The volume of a cylinder is calculated as thus:
[tex]Volume = \pi r^2h[/tex]
Where [tex]r = radius[/tex]
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 8cm[/tex]
[tex]r = 4cm[/tex]
[tex]h = 100cm[/tex]
Take
[tex]\pi = \frac{22}{7}[/tex], so we have
[tex]Volume = \pi r^2h[/tex]
[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]
[tex]Volume = \frac{22}{7} * 16 * 100[/tex]
[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]
[tex]Volume = \frac{35200}{7}[/tex]
[tex]Volume = 5028.6cm^3[/tex]
What is a proportional relationship?
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality
Step-by-step explanation:
what is order of operations for 20-5x2+6
Answer:
multiply, add, then subtract so your answer should be 4
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(please excuse my dear aunt sally)
What is 2 1/2 feet to inches?
Actual question:
1 foot=12 inches
2 1/2 feet= blank inches
IREADY!!
thanks :)
Will the solution to the following equation be positive or negative? b ÷ -2 = 5 positive negative
Answer:
I think that it is negative
Step-by-step explanation:
Solve: |x - 4| = 0
Help if can
Answer:
answer is x=4 I'm pretty sure
Step-by-step explanation:
I used a calculator
Answer:
x=4
Step-by-step explanation:
If you plug 4 in, 4-4=0 and the absolute value will not change anything.
Parallel to the line y=-3x + 5 passes through (-4,5)
Answer:
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
Step-by-step explanation:
Given equation of line is:
[tex]y = -3x+5[/tex]
General form of slope-intercept equation of line is:
[tex]y=mx+b[/tex]
Comparing both we get
m = -3
The slope of two parallel line sis equal.
Let m1 be the slope of line parallel to given line, then
m1 = -3
Putting in general form
[tex]y = -3x+b[/tex]
Putting (-4,5) in equation
[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]
Putting in the general form, we get
[tex]y = -3x-7[/tex]
Hence,
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
$1,400 principal earning 6%, compounded semi-annually, after 10 years
Answer: $2528.56 is the answer because if you do the problem you should get something like this
A=P(1+r/n)^nt
Plug in the values:
P=1400, r=6/100=0.6,
n=2 and t=10
A=1400(1+.06/2)^2(10)
A=$2528.56
Hope it helped
Yours,
Nathaniel
Step-by-step explanation:
Equa
Problem 1
3z - 4 = 52 - 12
Answer:
z=44/3
Step-by-step
Subtract the numbers 52-12=40
3z-4=40
Add 4 to both sides
3z-4+4=40+4
SImplify
3z=44
Divide both sides by 3
3z/3 = 44/3
z=44/3 or decimal form= 14.66
How do you do this question?
Answer:
-1
Step-by-step explanation:
dy/dt = y² − 1 = (y + 1) (y − 1)
At t = 0, y = 0, and dy/dt = -1. Therefore, y is initially decreasing.
As y decreases, dy/dt increases. When y = -1, dy/dt = 0 and changes signs from negative to positive.
As y increases above -1, dy/dt again becomes negative. So y continues to approach -1 as t approaches infinity.
f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!