Answers
Answer:
(1) a+1/a=8a+2/8a+1
(2) a²-1/a²=(a+1)(a-1))a²
(8a+2)(8a)/(8a+1)²
Related Questions
Paula's kitten weighs 3 1/2 pounds. Write this weight in the boxes using pounds and ounces.
Answers
Answer:
3 pounds and 8 ounces
Step-by-step explanation:
1 pound is 16 ounces, 1/2 pound is 8 ounces.
If you need further help, let me know!
-profparis
ZN
is tangent to circle OO at point ZZ. If \text{m}\overset{\huge\frown}{ZMB} = 280^{\circ}m
ZMB
⌢
=280
∘
, find \text{m}\angle BZNm∠BZN.
Answers
Given tangent, ZN, to the circle and the arc [tex]\widehat{ZMB}[/tex] = 280°, we have that
the angle formed by the chord BZ and the tangent ZN, ∠BZN is 50°
Which method can be used to find ∠BZN?The given parameters are;
A tangent to the circle O = ZN
[tex]m \widehat{ZMB}} = \mathbf{280^{\circ}}[/tex]
Required:
Angle ∠BZN
Solution;
Please find attached the drawing of the circle and tangent
From the drawing, we have;
∠BOZ = 360° - 280° = 80°
ΔBOZ is an isosceles triangle, which gives;
∠BZO = ∠ZBO
[tex]\angle BZO = \dfrac{(180^{\circ}- 80^{\circ}) }{2} = \mathbf{50^{\circ}}[/tex]
∠OZN = 90° (by definition of a tangent)
∠OZN = ∠BZO + ∠BZN
∠BZN = ∠OZN - ∠BZO
Which gives;
∠BZN = 90° - 40° = 50°
The measure of angle ∠BZN = 50°Learn more about tangents to a circle here:
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Simplify the following (12+7)-(2-23)
Answers
Answer:
40Step-by-step explanation:
Simplify the following (12+7)-(2-23)
(12 + 7) - (2 - 23) =
19 - (-21) =
19 + 21 =
40
7. The total cost of producing 475 calculators was $12,825. What is the unit cost (that is, the cost of producing 1 calculator)?
Answers
=
the price to produce one calc is $27
475 calculators : $12825 = $27
Explanation:
Do divide only
The students in Suzanne's school are painting a rectangular mural outside the building that will be 15 feet by 45 feet. Scale drawing of the mural is shown. The diagonal is approximately 6.3 units.Write the unit rate for the proportional relationship between lengths on the mural y and lengths in the scale drawing x.
Answers
Answer:
The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Step-by-step explanation:
The first step will be to find the diagonal of the rea life mural.
We can use Pythagoras' Theorem to do this.
Diagonal = [tex]\sqrt{15^2 +45^2 }[/tex] =47.43 feet.
Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.
This will be 47.43 / 6.3 units = 7.53.
The scale factor is 7.53
To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.
This will be
Length = 15/ 7.53 = 1.992
Breadth = 45/7.53 = 5.976
Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
By the time the blizzard was over the temperature had dropped from
17°F to -6°F This was a drop of how many degrees?
Answers
Answer:
23
Step-by-step explanation:
To get to 17 degrees, you need to add 6 to -6 to get to 0.
And to get to 17 from 0, you need to add 17.
So then you add 6 and 17 together.
6+17=23
6+-6=0
6+17=23
This was a drop of 23 degrees.
Determine whether the graph table or equation represents a linear or nonlinear function explain
Answers
Each time x goes up by 3, y goes up by 2. The rate of change is constant.
slope = (change in y)/(change in x) = 2/3
y intercept = 6 since this is where x = 0
The equation of this line is y = (2/3)x+6
Answer:
Linear, The rate of change is constant.
Step-by-step explanation:
-3 + 3 = 0
0 + 3 = 3
So x is constant
4 + 2 = 6
6 + 2 =8
So y is constant
Neo works as a computer technician and is usually paid $12.50 an hour. In one week he worked 35 hours normal time and 10 hours overtime for which he was paid double time. Calculate his pay for that week.
Answers
35 hours + 10 hours overtime = 45 hours
45 hours x $25 = $1125
His paid is $1125 week
Tutorial
Some players on a co-ed basketball team compared the total number of points they
scored over the course of a year.
Points scored in basketball
Hunter
1
5
Katie
1
5
Jenny
5
()) If there were 50 points scored overall, how many more were scored by Jenny than by
Hunter?
Answers
Answer:
20 points
Step-by-step explanation:
If Jenny scored 3/5th of 50 points then:
Jenny = 3/5 × 50 = 30 points
If Hunter scored 1/5th of 50 points then:
Hunter = 1/5 × 50 = 10 points
Difference in points between Jenny and Hunter = 30 - 10 = 20 points
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²
Right triangular prism. The height of the prism is labeled 15 in. The base of the prism is a triangle with sides labeled 17 in., 17 in., ad 30 in. There is a dashed line from the vertex of the triangle perpendicular to the 30 in. side that is labeled 8 in.
Answers
Answer:
i believe its 1200
Step-by-step explanation:
-21=-39k+-24
Please give me an explanation.
Answers
Answer:
-1/3
step-by-step explanation:
-21=-39k+-24
39k = -24 + 21
39k = -3 (divide each side by 39)
k = -1/3
Write and evaluate the expression. Then, select the correct answer. The sum of forty-five and a number; evaluate when n = 1. 1 45n; when n = 1. 1, the value is 49. 5. 45 n; when n = 1. 1, the value is 46. 1. 45 – n ; when n = 1. 1, the value is 43. 9. StartFraction n Over 45 EndFraction; when n = 1. 1, the value is 0. 24.
Answers
The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,
45 + n,
Now, if the value of n is 1.1. Then the sum will be,
[tex]45+n\\\\=45+1.1\\\\=46.1[/tex]
Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1
Learn more about Expression:
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Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour.
Answers
Answer:
[tex]Speed = \frac{38}{3}km/hr[/tex]
Step-by-step explanation:
Given
[tex]Distance = 3\frac{1}{6}km[/tex]
[tex]Time = \frac{1}{4}hr[/tex]
Required
Determine the average speed
Average speed is calculated as thus;
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = 3\frac{1}{6}/\frac{1}{4}[/tex]
[tex]Speed = 3\frac{1}{6} * \frac{4}{1}[/tex]
Convert Mixed Fraction to Improper fraction
[tex]Speed = \frac{19}{6} * \frac{4}{1}[/tex]
[tex]Speed = \frac{19 * 4}{6 * 1}[/tex]
[tex]Speed = \frac{76}{6}[/tex]
Divide both sides of the fraction by 2
[tex]Speed = \frac{38}{3}[/tex]
Hence:
The speed is:
[tex]Speed = \frac{38}{3}km/hr[/tex]
Answer:
38/3
Step-by-step explanation:
95 - 4G < 40 + 5G plz help me
Answers
This answer would be (55/9, ∞)
What is the slope of the line parellel to this line -9x+3y=6
Answers
Answer: 3
Step-by-step explanation:
8.01+24.192=
adding decimals thousands
Answers
Answer:
32.202
Step-by-step explanation:
Select the correct answer.
Which of the equations below represents a line perpendicular to the x-axis?
ОА.
I = 3
ОВ.
= 3y
OC.
=y
OD.
I = -3y
Reset
Next
Answers
Answer
The anwser is B
Step-by-step explanation:
I did this test as well earlier this year
Equation x=3 represents a line perpendicular to the x-axis. Therefore, the correct answer is option A.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
here, we have,
A) x=3
Graph the line using the slope and y-intercept, or two points.
Slope: Undefined
y-intercept: No y-intercept
The coordinate points are (3, 0) and (3, 1).
B) Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,0)
The coordinate points are (0, 0) and (1, 1)
C) x=y
Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,0)
The coordinate points are (0, 0) and (1, 1)
D) x=-3y
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
y-intercept: (0,0)
The coordinate points are (0, 0) and (-3, 1)
Therefore, option A is the correct answer.
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Sally had seventy - seven dollars to spend on eight books. After buying them she had thirteen dollars. How much did each book cost ?
Helppp
Answers
Answer:
$8 each
Step-by-step explanation:
We know Sally has $77 to spend. She bought 8 books, and was then left with $13. First, let's subtract 13 from 77 to see how much it cost in total.
77 - 13 = 64
Now, to find out how many each book cost, we have to divide the total amount by how many books Sally got.
64 / 8 = 8
Each book cost $8.
If a triangle only has 150 on one angle is what’s the measure for the rest of them
Answers
Answer:
I think it would be thirty
James, Ann and Frank have 14 pencils total. James has 2 pencils, and Ann has 4 pencils. How many pencils does Frank have?
Answers
Hey!
All we have to do is subtract however many pencils the others have.
So, lets do James first.
14-2=12
Now we subtract Ann's.
12-4=8
So, Frank has 8 Pencils.
Hope this helps!
Answer:
8
Step-by-step explanation:
14-(2+4)= 8
Its fairly simple but if you don't pay attention and don't add it up correctly you will have problems in your answer. (Hope you found this helpful!)
Why is 5(-2+7)+3=-10x+38 one solution explain your answer
Answers
8. Caitlyn has 8 gallons of milk. She uses
3
of the milk to make hot chocolate.
4
1
Then, she uses
of the remaining milk to make cookies.
4
How many gallons of milk does Caitlyn have left after making hot chocolate and
cookies?
Answers
Answer:
115/12
HOPE IT IS THE ANS
A video game store allows customers to rent games for $5 each. Customers can also buy a membership for $50 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.
Answers
Answer:
20 games
Step-by-step explanation:
Given
Customers:
[tex]Rent = \$5[/tex] per game
Members:
[tex]Membership = \$50[/tex]
[tex]Rent = \$2.50[/tex] per game
Required
Determine number of games for both to be equal
Represent the number of games with g
For regular customers;
g games cost: [tex]5 * g[/tex]
For Members
g games cost: [tex]50 + 2.50 * g[/tex]
Equate both expressions:
[tex]5 * g = 50 + 2.50 * g[/tex]
[tex]5g = 50 + 2.5 g[/tex]
Collect like terms
[tex]5g -2.5g= 50[/tex]
[tex]2.5g= 50[/tex]
Solve for g
[tex]g = 50/2.5[/tex]
[tex]g = 20[/tex]
A recipe that yields 12 cups of soup calls for 28 ounces of beef broth how many ounces of beef broth do you need to make 18 cups of soup?
Answers
Answer:
42
Step-by-step explanation:
for one cup 28/12
for 18 cup,
(28/12)×18
=42
In the morning, the temperature was -3°F. By mid-
afternoon, the temperature was 12°F. What was the
change in temperature between the morning and
afternoon?
Answers
Answer:
Step-by-step explanation:
To get from - 3 degrees to 0 takes 3 degrees to do
To get from 0 degrees to 12 takes 12 degrees Add
Total 15 degrees.
A new company opens and finds the profits from their first year in business is $24,000. They project the company's profits to increase by 1.7% each year. What is their expected profit 10 years from now?
Answers
Answer:
$4406.7 is the profit.
explanation:
compound interest formula: [tex]\sf \large\boxed{\sf P(1+\frac{r}{100})^n }[/tex]
using this formula:
[tex]\rightarrow \ \sf \sf 24000(1+\dfrac{1.7}{100})^{10} }[/tex]
[tex]\rightarrow \sf \ $ \sf 28406.7[/tex]
profit: $28406.7 - $24,000 = $4406.7
Given that A, O & B lie on a straight line segment, evaluate x.
The diagram is not drawn to scale.
Answers
Answer: x=10
Step-by-step explanation: A straight line is equal to 180 degrees, meaning that the sum of all angles is supplementary to 180 degrees. This can be written as 3x+88+x+36+2x-4=180. Adding like terms, it is simplified to 6x+120=180. Subtract 120 on both sides getting you 6x=60. Then divide; x=10
answer plssssssssssssss
Answers
Find the Surface of the prism 4in 10 in and 18in
Answers
Answer:
Step-by-step explanation:
total surface area = 584 m2
lateral surface area = 504 m2
top surface area = 40 m2
bottom surface area = 40 m2
How do i write 2x+3y=24 as slope-intercept form?
Answers
Answer:
y = - [tex]\frac{2}{3}[/tex] x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 24 ( subtract 2x from both sides )
3y = - 2x + 24 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + 8 ← in slope- intercept form
The equation 2x+3y=24 in the slope-intercept form can be written as [tex]y = -\frac{2}{3}x+8[/tex]
From the question,
We are to write the given equation in the slope-intercept form
The slope-intercept form of an equation of straight line is written as
y = mx +c
To write the equation, 2x+3y=24, in the slope-intercept form, we will make y the subject of the equation
[tex]2x+3y=24[/tex]
First, subtract 2x from both sides of the equation
That is,
[tex]2x -2x +3y = 24 -2x[/tex]
This becomes
[tex]3y = 24 -2x[/tex]
Now, divide both sides by 3
[tex]\frac{3y}{3} =\frac{24-2x}{3}[/tex]
∴ [tex]y = \frac{24}{3}-\frac{2x}{3}[/tex]
[tex]y = 8-\frac{2}{3}x[/tex]
In the slope-intercept form, we get
[tex]y = -\frac{2}{3}x+8[/tex]
Hence, the equation 2x+3y=24 in the slope-intercept form can be written as [tex]y = -\frac{2}{3}x+8[/tex]
Learn more here: https://brainly.com/question/20076300