One half of 8 5/9 is
Answers
Answer:
Step-by-step explanation:
Answer:
4 5/18 ≈ 4.278
Step-by-step explanation:
1/2 of 8 5/9
8 5/9 = 77/9
1/2 x 77/9
= 77 over 18
= 77/18
= 4 and 5/18
≈ 4.278
Hope this helps!
Related Questions
A school year begins with 24 students
trying out for the basketball team and 20
students trying out for the debate team.
Within a week, 6 students have dropped
out of the basketball tryouts and 2
students have dropped out of the debate
tryouts. What percentage of the remaining
students are trying out for the basketball
team?
Answers
Answer:
50%
Step-by-step explanation:
In rhe beginning, there were 24 + 20 = 44 students trying out in total. After a week, there are 44 - 6 - 2 = 36 students remaining. Of those 36 students, 18 of them are trying out for the basketball team. The percentage of students trying out for the basketball team would be 18/36 = 0.5 = 50%
HELP QUICK! You must find all intervals
where f(x) is negative.
f(x)=2(x+3)(x-7)
Answers
Answer:
any # where -2<=x<7
Step-by-step explanation:
(x-7) would be negative and (x+3) positive, resulting in f(x) being negative.
I need help with this question please!
Answers
the price that they should charge on the 2 year extended warranty is in order to break even is $10.
what price should the company charge?the price at which the company would breakeven is:
= percentage of product that will fail x replacement cost
solving gives:
= 4% x 250
= $10
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if one adult is randomly chosen from the group, what is the probability that the adult does not use a cell phone app for shopping and is at least 40 years old?
Answers
Answer:
1/100
Step-by-step explanation:
The answer is 1/100 because we don't know how many people are in the group but do know that only 1 person has been taken from the group and the probability will be 1 out of how many people are in the group so we just put 100 there as we don't know how many people are in the group.
Ps: Sorry if this is wrong, this is just a guess.
The function g(x) = 10x2 100x + 213 written in vertex form is g(x) 10(* - 5)2 - 37. Which statements are true
about g(x)? Select three options.
The axis of symmetry is the line x = -5.
The vertex of the
graph is (5, -37).
The parabola has a minimum.
The parabola opens up.
.
The value of a, when the equation is written in vertex form, is negative.
Answers
Answer:
Step-by-step explanation:
The best way to answer a question like this one is to use a graphing program on the internet. This graph was done with desmos
It looks to me that the equation is g(x) = 10(x - 5)^2 - 37
I checked to see that this is correct, and thank goodness it is.
The vertex of the graph is (5, -37).The vertex has a minimumThe parabola opens upwardThe graph is shown below.
Find f(−1) given f(x)=−3x3+2x2+24
A. -23
B. 28
C. 29
D. 23
Answers
Answer:
C. 29
Step-by-step explanation:
[tex]f(x) = -3x^3 + 2x^2 +24[/tex]
• To calculate [tex]f(-1)[/tex] , we have to replace x with -1 in the definition of [tex]f(x)[/tex] , and calculate the value:
[tex]f(-1) = -3(-1)^3 + 2(-1)^2 + 24[/tex]
⇒ [tex]-3(-1) +2(1) + 24[/tex]
⇒ [tex]3 + 2 + 24[/tex]
⇒ [tex]29[/tex]
[tex]\huge\boxed{\textsf{C.}\ 29}[/tex]
We have this equation:
[tex]f(x)=-3x^3+2x^2+24[/tex]
Substitute [tex]x=-1[/tex]:
[tex]f(-1)=-3(-1)^3+2(-1)^2+24[/tex]
Simplify to find the final answer:
[tex]\begin{aligned}f(-1)&=-3(-1)+2(1)+24\\&=3+2+24\\&=5+24\\&=\boxed{29}\end{aligned}[/tex]
please can you help me?
Answers
Answer:
A) 65
B) 60
Step-by-step explanation:
64.9963 rounds to 65
To the nearest 10 it would round down as the second intiger the 4 is below 5 meaning as a result it rounds down
After rounding the given number 64.9963:
(a) Near 2 decimal places is: 64.70
(b) And the nearest 10 is: 60
When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
The given number is:
64.9963
To round off the nearest 2 decimal places:
Since the third digit after the decimal is 6 which is greater than 5.
Add 1 to their previous digit.
Therefore,
After rounding near to 2 decimal places the number becomes:
64.70
To round off the nearest 10:
Since the tense digit is 4 and it is less than 5
Therefore,
The number after rounding off the nearest 10 is:
60.
Hence, after rounding the number:
Near 2 decimal places is: 64.70
And the nearest 10 is: 60
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Instructions: Determine if AB is tangent to the circle.
AB
20
B
12
수 to the circle.
16
Answers
Step-by-step explanation:
to be a tangent, it would have to have a 90° angle with the radius (12).
and that would make the triangle ABCenter of the circle a right-angled triangle.
and then Pythagoras must apply :
c² = a² + b²
with c being the Hypotenuse (the baseline opposite of the 90° angle). in our case the 20-line.
so,
20² = 12² + 16²
400 = 144 + 256 = 400
yes, it is confirmed, because the Pythagoras principle applies, it is a right-angled triangle, and therefore AB is indeed a tangent.
Answer:
the line AB is tangent to the circle
Step-by-step explanation:
we have :
16² + 12² = 256 +144 = 400
On the other hand:
20² = 400
Then
16² + 12² = 20²
Then
According to the Pythagorean theorem:
The line AB is perpendicular to the radius of the circle
Which means the line AB is tangent to the circle.
SOMEONE PLS ANSWER STEP BY STEP TY
9k-2≥88 or -34 -4> -25
Answers
Hello,
9k - 2 88
⇔ 9k - 2 + 2 ≥ 88 + 2
⇔ 9k ≥ 90
⇔ 9k/9 ≥ 90/9
⇔ k ≥ 10
S = [10 ; + ∞ [
Answer:
k ≥ 10
Step-by-step explanation:
9k - 2 ≥ 88
Step 1 : Add 2 on both sides.
9k - 2 + 2 ≥ 88 + 2
9k + 0 ≥ 90
9k ≥ 90
Step 2 : Divide 9 on both sides.
9k/9 ≥ 90/9
k ≥ 10
James needs to mix a 10% acid solution with a 50% acid solution to create 100 milliliters of a 26% solution. How many milliliters of each solution must James use?
James must mix _____ milliliters of 10% solution and____milliliters of 50% solution.
Answers
James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
Given that, James needs to mix a 10% acid solution with a 50% acid solution to create 100 millilitres of a 26% solution.
Let the acid solution needs to mix with 10% be x ml and the acid solution needs to mix with 50% will be 100 - x ml.
Now,
10% x + 50% ( 100 - x ) = 26% ×100
⇒[tex]\frac{10x}{100} +\frac{50(100-x)}{100}=\frac{2600}{100}[/tex]
⇒10x + 50( 100 - x ) = 2600
⇒10 x + 5000 - 50x = 2600
⇒10 x - 50 x = 2600-5000
⇒-40 x = -2400
⇒x=60
Therefore, James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
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Jenny likes to paint. she estimates the number of paintings she completes using the function p of w equals one half times w plus one, where w is the number of weeks she spends painting. the function j(y) represents how many weeks per year she spends painting. which composite function would represent how many paintings jenny completes in a year?
Answers
The composite function of the paintings Jenny completes in a year is
[tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]
What is a composite function?A composite function is a function made of other functions, where the output of one function is the input to the other function.
An example of the composite functions 2x+3 and [tex]x^{2}[/tex] together make the composite function [tex](2x+3)^{2}[/tex]
We have [tex]P(w)=\frac{1}{2}w+1[/tex]
Here, P(w) represents the number of paintings Jenny completes in some w weeks. and
J(y) represents the number of weeks per year.
As J(y) is the number of weeks spent per year in painting, we can calculate the paintings completed in a year by substituting
w as J(y) in the equation we have
Then the equation becomes:[tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]
Hence this is the composite function that would represent the number of paintings Jenny completes in a year.
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7. How many triangles exist when the angle measures are 90°, 90°, and 0°? 2 POINTS
Answers
Answer: None
Step-by-step explanation:
There is no triangle with an angle measure of 0 degrees.
which variable expression describes the area of the shaded region in the diagram shown below ?
Answers
Answer: B
Step-by-step explanation:
The area of entire rectangle is (9)(4)=36.
The area of the square inside is [tex]x(x)=x^2[/tex]
Subtracting the areas, we get [tex]36-x^2[/tex]
The amount of money spent buying packets of instant noodles varies directly
with the number of packets purchased. If 30 packets of noodles cost $34.88,
how much would 45 packets cost? Round all answers to the nearest hundredth
in your calculations.
A. $38.70
B. $52.20
C. $25.83
D. $43.00
Answers
The cost of 45 packets of instant noodles given the direct variation is $52.335
Direct variationlet
Amount spent on noodles = nNumber of Packets purchased = pn = k × p
Where,k = constant of proportionality
34.88 = k × 30
34.88 = 30k
k = 34.88/30
k = 1.16266666666666
Approximately,
k = 1.163
Find n when p = 45
n = k × p
= 1.163 × 45
n = $52.335
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twenty six thousandths in numerical form
Answers
Answer:
0.026
Step-by-step explanation:
Twenty-Six = 26 ( But for simplicity in the Next Step write it as 26.)
Tenths means to move the Decimal Point 1 Place LeftHundredths means to move the Decimal Point 2 Place LeftThousandths means to move the Decimal Point 3 Place LeftThen Twenty-Six Thousandths = 0.026
Estimate the cost of painting a concrete patio if it is a 12 foot by 12 foot rectangle, and a quart of paint that covers 47 square feet costs $11.99.
Answers
Answer: $36.68 or $35.97. Read below.
Step-by-step explanation: You need to multiply the 12 foot by 12 foot and you would get 144 sq feet. Then divide 47 into 144. You will be left with 3.06, and if you need to round, you can round that to 3. Then you need to multiply 3 by $11.99 and you will be left with the cost for the paint, which is $35.97 if you do round to a three, and $36.68 if you do not round the three. So your answer is either $36.68 or $35.97 depending on whether you round or not.
The sum of two numbers is 21. Three times the larger is equal to four times the smaller.
Find them.
Answers
Step by step
First identify the equations
The sum of two numbers is 21
x + y = 21
Change to y intercept for ease of math
y = 21 - x ( call this equation a)
Three times the larger is equal to four times the smaller
3x = 4y (call this equation b)
Now substitute the value of y = 21 -x into equation b
3x = 4(21-x)
Distribute
3x = 84 - 4x
Now we want to isolate x by adding 4x to each side
3x + 4x = 84 -4x + 4x
Combine like terms
7x = 84
Now solve for x by dividing both sides by 7
x = 12
Now to find y
Using equation a from above
y = 21 - x
Substitute our x value of 12 into equation
y = 21 - 12
solve for y
y = 9
Now check your work
x = 12 and y = 9
The sum of two numbers is 21
12 + 9 = 21
Three times the larger (x) is equal to four times the smaller (y)
3x12 = 4x9
36 = 36
Problem solved!!
Write an equation of a circle with the given center and radius. Check your
answers,
(-4,-6), 7
Answers
Answer: [tex]\boldsymbol{(x + 4)^2 + (y + 6)^2 = 49}\\\\[/tex]
Work Shown:
[tex](h,k) = (-4,-6) = \text{center}\\\\r = 7 = \text{radius}\\\\(x - h)^2 + (y - k)^2 = r^2\\\\(x - (-4))^2 + (y - (-6))^2 = 7^2\\\\\boldsymbol{(x + 4)^2 + (y + 6)^2 = 49}\\\\[/tex]
To check the answer, you can use a graphing calculator like GeoGebra or Desmos or similar.
Find the equation of a straight line which passes through the point (3, 2) and is perpendicular to the line 3x + 5y =10. Hence, determine the gradient and y-intercept of the equation.
Answers
Answer:
Step-by-step explanation:
eq of line perpendicular to 3x+5y=10 is
5x-3y=a
where a is constant.
it passes through (3,2)
5(3)-3(2)=a
a=15-6=9
reqd. eq. is 5x-3y=9
or
3y=5x-9
y=5/3 x-3
gradient=5/3
y-intercept=-3
or
5y=-3x-10
y=-3/5 x-2
slope=-3/5
slope of reqd. line=-1/(-3/5)=5/3
eq. of line through (3,2) is
y-2=5/3(x-3)
3y-6=5x-15
3y=5x-15+6
3y=5x-9
y=5/3 x-3
Below, the two-way table is given for a class
of students.
Freshmen
Sophomore
Juniors
Seniors
Total
Male
4
Female
3
6
3
Total
If a student is selected at random, find the
probability the student is a female given that it's a
junior.
Answers
Using it's concept, the desired probability is:
P(Female|Junior) = 75%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 8 Junior Students, out of which 6 are Female, hence the probability is:
P(Female|Junior) = 6/8 = 0.75 = 75%.
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Which expression is equivalent to
Answers
The expression is equivalent to 2 , option C is the right answer.
What is an Expression ?An expression in maths is a statement that contains , constants , variables and mathematical operators.
The expression given in the question is
[tex]\rm \dfrac { 4^{\frac{5}{4}} * 4^{\frac{1}{4}}} {4^{\frac{1}{2}}}[/tex]
Applying exponent rule
[tex]\rm a^m * a^n = a^{m+n}[/tex]
[tex]\rm \dfrac { 4^{\frac{5}{4} +\frac{1}{4}}} {4^{\frac{1}{2}}}[/tex]
Applying exponent rule
[tex]\rm \dfrac{a^m}{a^n} = a^{m-n}[/tex]
[tex]\rm { 4^{\frac{5}{4} +\frac{1}{4} -{\frac{1}{2}}}[/tex]
On solving the exponents
=(6/4) -(1/2)
=4/4
=1
=[tex]\rm 4^{\frac{1}{2}}[/tex]
= 2
Therefore the expression is equivalent to 2 , option C is the right answer.
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melissa worked 7 hours and 40 minutes last monday. she makes 16 dollars and hour.how much did she make for those hours she worked on that day?
Answers
for 7 hours she made 112
Write an expression that is equivalent
1/2a-4
Answers
Step-by-step explanation:
Answer
a - 8
------------+
2
If [tex]\frac{w}{y} = \frac{y}{z} then what is the value of x?[/tex]
Answers
The value of x in the given expression is; x = wz/y
How to change subject of formula?We are given the expression;
w/x = y/z
Now, we want to find the value of x which means we want to make x the subject of the formula. Thus;
Multiply both sides of the given expression by x to get;
(w/x)*x = (y/z)*x
⇒ w = xy/z
Now, multiply both sides by z/y to get;
w(z/y) = (xy/z) * (z/y)
wz/y = x
Thus, the value of x in the given expression is;
x = wz/y
The correct question is;
If w/x = y/z, then what is the value of x
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Which graph represents this inequality Y is greater than or less to 4X -3
Answers
The graph of the inequality can be seen in the image at the end.
Which graph represents the inequality?
Here we have the inequality:
y ≥ 4x - 3
To graph this we need to graph the line:
y = 4x - 3
With a solid line (because the points on the line are solutions) and then shade the region above that line.
The graph of the inequality can be seen below.
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Question
AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third
side of each triangle.
с
y = c =
6.5
Provide your answer below:
A
12
C
B
Z
y
4.8
3
Y
Answers
Answer:
AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle
Simplify....
[tex] \frac{1}{a + 1} + \frac{1}{a - 1} - \frac{2a}{ {a}^{2} + 1 } - \frac{4a}{ {a}^{4} + 1 } \\ [/tex]
please help ty~
Answers
The simplified expression of [tex]\frac{1}{a + 1} + \frac{1}{a - 1} - \frac{2a}{a^2 + 1} - \frac{4a}{a^4 + 1}[/tex] is [tex]\frac{8a}{a^8 - 1}[/tex]
How to simplify the expression?The expression is given as:
[tex]\frac{1}{a + 1} + \frac{1}{a - 1} - \frac{2a}{a^2 + 1} - \frac{4a}{a^4 + 1}[/tex]
Add the first two terms
[tex]\frac{a - 1 + a + 1}{(a + 1)(a - 1)} - \frac{2a}{a^2 + 1} - \frac{4a}{a^4 + 1}[/tex]
Evaluate
[tex]\frac{2a}{a^2 - 1} - \frac{2a}{a^2 + 1} - \frac{4a}{a^4 + 1}[/tex]
Evaluate the first two terms
[tex]\frac{2a^3 + 2a - 2a^3 + 2a}{(a^2 - 1)(a^2 + 1)} - \frac{4a}{a^4 + 1}[/tex]
Evaluate
[tex]\frac{4a }{a^4 - 1} - \frac{4a}{a^4 + 1}[/tex]
Take the LCM
[tex]\frac{4a^5 + 4a - 4a^5 + 4a }{(a^4 - 1)(a^4 + 1)}[/tex]
Evaluate the like terms
[tex]\frac{8a}{a^8 - 1}[/tex]
Hence, the simplified expression is [tex]\frac{8a}{a^8 - 1}[/tex]
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One number is 2 less than a second number. Twice the second number is 5 less than 3 times the first. Find the two numbers.
Answers
Answer:
9 and 11
Step-by-step explanation:
First number = x -2
Second number = x
and 2x = 3(x-2) - 5
2x = 3x - 6 - 5
x = 11
first number = 11-2 = 9
A company pays $10 per hour for up to eight hours of work. What is the equation for total pay why for hours for ex for 0 to 8 hours of work X
Answers
The equation for total pay is y = 10/8x.
What is the equation?Division is the mathematical operation that is used to determine the quotient of a number. In order to determine the total pay for hours from 0 to 8, the pay per hour has to be determined. To determine this value, divide $10 by 8.
Pay per hour = $10 / 8
y = 10/8x.
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find the least number that must be subtracted from 21 2o show the result is a perfect square
Answers
Answer:
5
Step-by-step explanation:
2 × 2 = 4
3× 3 = 9
4 × 4 =16
5 × 5 =25
16 is the only number and closest number to 21 to subtract from