FOR A RECIPROCAL OF FRACTION WE SWAP POSITIONS. WHATEVER WAS IN THE NUMERATOR BECOMES THE DENOMINATOR AND WHAT WAS IN THE DENOMINATOR BECOMES THE NUMERATOR.
THIS MEANS THAT AS A RESULTS WE HAVE
[tex] \frac{b}{b - 1} [/tex]
ATTACHED IS THE SOLUTION.
On subtracting 20 from twice a number we get 50, then the number is
On subtracting 20 from twice a number we get 50, then the number is 35 in this context.
What is Subtraction?This is referred to as a type of mathematical operation in which one number is taken or deducted from the other and the sign is ( - ). this expression is used in every facet of life for their daily activities.
We were told that 20 was subtracted from twice a number to give 50 which means that twice the number is 70. The exact number will therefore be 70/2 which will then result in 35 and is therefore the most appropriate choice.
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Estimate the quotient of 41 ÷ 7.94.
4
5
6
7
Answer:
5
Step-by-step explanation:
Since 7 into 42 is six we know the answer can't be 7 because it's too high. We can also rule out 6 because 6 times 7.94 is more than 41. The first answer choice is wrong because if you take away the .94, 7 times 4 is 28 which is pretty far from 41. If you multiply 5 and 7, it comes out to 35. That's significantly closer than four.
Hope this helps! :)
what is decimal? i dont understand it at al
Answer: irelating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten:
Step-by-step explanation:
PLS HELP WILL GIVE 100 POINTS AND BRAINLIEST.
Answers to your questions with explanations are below. You can ask a question, feel free. I wish you success!
Q2:This answer should be Vertical Angles.
Vertical angles are angles that are opposite of each other when two lines cross and equal each other. [tex](a^o=b^o)[/tex]
Q3:A pair of vertical angles is formed when two lines intersect each other at a single point. They are said to be linear if the angles are adjacent after the intersection of the two lines. The sum of the angles of a linear pair is always equal to [tex]180^o[/tex]. Such angles are also known as complementary or supplementary angles.
This way we eliminate the first option because they intersect at a point, but the sum of their angles is not equal to [tex]180[/tex] degrees.Second option is correct.Third option includes vertical angles. So that it is wrong.We see two angles intersecting at a single point and their sum is [tex]180[/tex] degrees. This option is the correct one.We see two right angles. This is also a correct option.The answer is [tex]2^{nd}+4^{th}+5^{th}[/tex]
Q4:The answer is the first option. Adjacent angles. The rule is simple. If [tex]a+b=90^o[/tex] if they're adjacate angles.
Q5:The answer is the third option. Supplementary angles. The rule is simple. If [tex]a+b=180^o[/tex] if they're supplementary angles.
At the beginning of the year, Josue had $70 in savings and saved an additional $9
each week thereafter. Arianna started the year with $30 and saved $19 every week.
Let J represent the amount of money Josue has saved t weeks after the beginning of
the year and let A represent the amount of money Arianna has saved t weeks after
the beginning of the year. Write an equation for each situation, in terms of t, and
determine the interval of time when Josue has more in savings than Arianna.
There will be no interval of time when Josue has more in savings than Arianna, they have same savings is after 4 weeks
How to calculate the above question?Step one:
For Josue
initial savings balance= $70
weekly savings = $9
Let J represent amount of money Josue has saved and t the number of weeks after the beginning of the year
The total amount in the savings after t weeks is
J=9t+70-------1
For Arianna
initial savings balance= $30
weekly savings = $19
Let A represent the amount of money Arianna has saved and t the number of weeks after the beginning of the year
The total amount in the savings after t weeks is
J=19t+30---------2
Step two
equation 1 and 2 to find t
9t+70=19t+30
9t-19t=30-70
-10t=-40
divide both sides by 10
t=4
t=4 weeks
so after 4 weeks Josue and Arianna will have the same amount of money
For Josue t=4
J=9(4)+70-------1
J=36+70
J=$106
For Arianna t=4
A=19(4)+30---------2
A=76+30
A=$106
The two equations above shows that after 5 weeks their savings will be $106.
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If AC is congruent to BD and EC is congruent to ED, prove that AE is congruent to BE
AE and BE are congruent lines or we can say lines with same length.
What are congruent lines?
Congruent line segments are geometrical figures in one dimension with identical dimensions. In terms of congruent lines, the word "congruent" refers to the equality of the two line segments. When two lines are the same length, they are said to be congruent.
As given in the question,
AC = BD, and
EC = ED
We can see in the figure that:
AC - EC = AE ___(1)
BD - ED = BE ___(2)
Substituting the value of AC and EC in equation (1):
AE = BD - ED ___(3)
From equations (2) and (3), we can conclude that,
AE = BC
Therefore, AE and BE are congruent lines.
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Find the slope ………..
?:7 =8:14 and 32:? =12:24
Answer:
First question mark is 4, second question mark is 64
Step-by-step explanation:
For the first question mark, 7 is half of 14, and half of 8 is 4, so they would be the same ratio, and then for the second, 12 to 24 is just one half, meaning you would need to find double 32, which is just 64
find the constant of proportionality pls
Answer:
11, 110
Step-by-step explanation:
Constant of proportionality: Ratio of distance to time, which is 11.
Distance at 10s: Multiply time by the constant of proportionality, giving 110.
A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of finished products and computes the sample mean product weight. If test results over a long period of time show that of the values are over pounds and are under pounds, what are the mean and the standard deviation for the population of products produced with this process?.
Standard deviation of population mean is 0.33.
Why is there a standard deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.it is shown that 5% values are over 2.1 pounds and 5% are under 1.9 pounds
so stastically that means
P( X > 2.1, μ; σ) = 0.05 and P( X 1.9; μ; σ) = 0.05
where μ is mean of the sample and σis the standard deviation of the sample.
so mean can be calculated easily μ = (2.1 + 1.9)/2 = 2.0
and as we can interpret P(1.9 <x < 2.1; 2.0; σ) = 0.90 by normal distribution the Z value for 90% confidence interval is 1.65
so σ = (2.1 -2) /1.65 = 0.06
standard deviation of the sample mean= 0.06
and by that standard deviation of population mean = 0.06 * (30) 0.5 = 0.33
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The complete question is -
A production process is checked periodically by a quality control inspector. the inspector selects simple random samples of 30 finished products and computes the sample mean product weight. If test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds, what are the mean and the standard deviation for the population of products produced with this process? What is the population mean? (to 1 decimal) What is the population standard deviation (to 2 decimals)?
Solve the equation for y. Leave your answer in terms of π.
π=7x−2y
answer-x=π/7+y/7
Step-by-step explanation:
yes
solve for angle 1
pls hurry
Answer:
Step-by-step explanation:
246 degrees
Answer:61.5
Step-by-step explanation:
123/2=61.5
61.5+57=118.5
180-118.5=61.5
i dont get this can anyone help me solve this problem
Answer:its D
Step-by-step explanation:
Write the following linear equation in slope intercept form. 3x + 4y=64
Answer:
[tex]\sf y =\dfrac{-3}{4}x+16[/tex]
Step-by-step explanation:
Slope intercept form: y = mx +bWhere m is the slope and b is the y-intercept.
3x + 4y = 64
Subtract 3x from both sides,
4y = -3x + 64
Now, divide both sides by 4,
[tex]\sf \dfrac{4y}{4}=\dfrac{-3x}{4}+\dfrac{64}{4}\\\\y = \dfrac{-3}{4}x + 16[/tex]
Instructions: Interpret the function given in the context ofthe real-world situation described to answer the question.Nichole bought a new car. The depreciation equation isgiven by f(x) = 27,000(.86), where a representsthe number of years since the purchase of the car, andf(x) represents the value of the car. By what percentdoes Nichole's car depreciate each year?%
The depreciation equation is given by
[tex]f(x)=27000(0.86^x)[/tex]where x represents the number of years. Here, the initial value of the car corresponds to x=0, then we have
[tex]\text{ initial value = f\lparen0\rparen=27000}[/tex]After one year, the car value corresponds to x=1, that is,
[tex]\text{ after 1 year = f\lparen1\rparen=27000\lparen0.86}\rparen^1\text{=27000}\times0.86=\text{23220}[/tex]Now, let's find the depreciation percentage by means of a rule of three:
[tex]\begin{gathered} 2700\text{ ----- 100 \%} \\ 23220\text{ ------- x} \end{gathered}[/tex]so we have
[tex]x=\frac{23220\times100}{27000}=86\text{ \%}[/tex]So the difference between 100% and 86% is 14% This means Nichole's car depreciate 14% each year
I'm stuck pls help me
2/4
Answer:
its the 3rd option
Step-by-step explanation:
you solve parenthesis then multiply then had to minus which gave you the total
any ideas??
Thank you
Answer:
x-0.5,1,2,3,4,5,6
y-12,6,3,2,1.5,1
Step-by-step explanation:
Substitute the x value inside the formula. E.g. y=6 over 0.5, then solve.
Plot the points on the graph and join the up.
Answer:
Step-by-step explanation:
FIRST ANSWER GETS BRAINLIEST
What is the distance between the points (2,−3) and (−5,−3) ?
0 units
3 units
6 units
7 units
Answer: 7 units
Step-by-step explanation:
= A metal pole is 500 cm long, correct to the nearest centimetre.
The pole is cut into rods each of length 5.8 cm, correct to the nearest millimetre.
Calculate the largest number of rods that the pole can be cut into.
The largest number of rods that the pole can be cut into is 86.
Given:
Length of Metal Pole = 500 cm
The pole is cut into rods.
Length of each rod = 5.8 cm
To determine the number of rods we can divide the total length of the pole by the length of each rod.
Number of rods that the pole can be cut into = (Length of Metal Pole) ÷ (Length of each rod )
⇒ Number of rods = 500 ÷ 5.8 = 86.2 ≈ 86
Therefore, the largest number of rods that the pole can be cut into is 86.
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Solve for w.
ρ = m / ℓ⋅w⋅h
What is w equal to?
The / means it's a fraction, the M is on top, and the rest is on the bottom, 20 points, please help, no links.
Solve for the long leg and for the hypotenuse of the 30-60-90 triangle.
By using the properties of the 30-60-90 right triangles, the lengths of the long leg and the hypotenuse are √3 · L and 2 · L, respectively.
What are the lengths of the hypotenuse and the long leg of the 30-60-90 right triangle?
Right triangles are triangles where one of its internal angles is a right angle, that is, has a measure of 90°. 30-60-90 triangles are right triangles whose internal angles have measures of 30°, 60° and 90°, respectively.
This kind of right triangles have the following features:
The long leg is adjacent to the least angle of the triangle, that is, the angle whose measure is 30°.The short leg is opposite to the least angle of the triangle, that is, the angle whose measure is 30°.The length of the long leg is √3 times the length of the short leg.The length of the hypotenuse is 2 times the length of the short leg.If we know that the short leg has a length of L, then the lengths of the long leg and the hypotenuse are √3 · L and 2 · L, respectively.
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A store sells 2 1/4 pounds of tomatoes in a package for $4.45. The expression 4.45p represents the cost of the tomatoes for a number of packages. What does the variable p represent?
Based on the given, the variable p from the expression 4.45p represent pounds of tomatoes sold.
What the variable p represent?Algebra is a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
Pounds of tomatoes sold = 2 1/4 poundsCost of the tomatoes = $4.45The cost of the tomatoes for a number of packages = 4.45p
If the store sold 2 1/4 pounds of tomatoes
The cost of the tomatoes for a number of packages = 4.45p
= 4.45(2 1/4)
= 4.45(9/4)
= 4.45(2.25)
= $10.0125
In conclusion, the variable p represent pounds of tomatoes sold in the store.
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the convex polygon below has 7 sides. find the value of x
Answer:
x = 147
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 7 , then
sum = 180° × 5 = 900°
sum the interior angles and equate to 900
x + 141 + 112 + 129 + 106 + 139 + 126 = 900
x + 753 = 900 ( subtract 753 from both sides )
x = 147
HELP PLEASEEEEEEEE!!!!!!!!!
9. Option b. The two lines are perpendicular to each other
Given:
6x+10y = 20
5x- 3y = 21
Consider the first line,
10 y = -6x+ 20
y = -3/5 x + 2
This is of the form y = mx+ b
where, slope =m = - 3/5
Consider the second line,
5x- 3y = 21
3y = 5x- 21
y = 5/3 x - 21
This is of the form y = mx+ b
where, slope= m = 5/3
Since the slopes of the two lines are negative reciprocals ,they are perpendicular.
10. Option a. The equation of the line passing through (2, -9) with a slope -5 is y = - 5x + 1
Given:
slope = m= -5
point = (2,-9)
We know that ,the slope -intercept form is given by ,
y = mx+ b ---(1)
Substituting the given values in (1)
-9 = -5(2)+b
10- 9 = b
b = 1
Substituting m and b in (1)
y = -5x+1
Thus, the slope-intercept form equation of the line is y = -5x + 1
11. The equation of the line perpendicular to y= -2x+8 and passing through the point (4,-7) is y = 1/2x- 9
Given:
line = y = -2x+8
point = (x, y)= (4, -7)
The given equation is of the form,
y = mx+ b ---- (1)
m = -2
The line perpendicular to this line will have a negative reciprocal slope,
m = 1/2
The new line is of the form,
y = 1/2 x+ b ----(2)
Substituting the given point (4, -7) in (2)
- 7= 2 + b
b = - 9
Substituting b in (2)
y = 1/2x- 9 is the perpendicular line equation
12. The equation of the line parallel to 3x- 2y = 14 and passing through the point (-6,-11) is y = 3/2 x -2
Given:
line = 3x- 2y = 14
point = (x, y)= (-6,-11)
The slope - intercept form of the given line is ,
2y = 3x- 14
y = 3/2x - 7
slope = m = 3/2
The line parallel to this line will have the same slope,
m = 3/2
The new line is of the form,
y = 3/2 x+ b ----(1)
Substituting the given point (-6, -11) in (1)
- 11= -9 + b
b = - 2
Substituting b in (1)
y = 3/2 x -2 is the parallel line equation.
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Point B is on line segment AC
Given: AB = 4x - 6, AC = 2x + 10, and BC=4, determine the numerical length of AC.
Answer:
22
Step-by-step explanation:
AB + BC = AC
4x -6 + 4 = 2x + 10 Combine like terms
4x -2 = 2x + 10 Subtract 2s from both sides of the equation
2x -2 = 10 Add 2 to both sides
2x = 12 Divide both sides by 2
x = 6
Plug in 6 for x in AC
2x + 10
2(6) + 10
12 + 10
22
There are 25 students in the class, 40% of them are girls. How many boys are there in the class?
Answer:
15
Step-by-step explanation:
40/100×25
=10
25-10=15
what is 0.294117647 equal to
The decimal is equal to (294117647)/(1000000000).
Pleaseee help, it's urgent! Just (i)
I'll give whoever is right the brainliest answer.
Answer:
(i) 7 + 4√2 cm^2.
(ii) 50 - 8√2 cm^2.
Step-by-step explanation:
(i)
Area = (3 + √8)(5 - 4/√2)
= 3(5 - 4/√2) + √8(5 - 4/√2)
= 15 - 12/√2 + 5√8 - 4√4
= 15 - 8 -( 12√2)/2 + 5*(2√2)
= 7 - 6√2 + 10√2
= 7 + 4√2.
(ii)
Area of the square
= AC^2
= (3 + √8)^2 + (5 - 4/√2)^2 (By Pythagoras)
= 9 + 6√8 + 8 + 25 - 40/√2 + 16/2
= 9 + 8 + 8 + 25 + 12√2 - 20√2
= 50 - 8√2.
Identify the vertex of the parabola.
(1, 0)
(−1, 0)
. (0, 1)
(0, −1)
It's (1, 0) - first option
Hope this helps!
What type of number is -1−1minus, 1? Choose all answers that apply: Choose all answers that apply: (Choice A) A Whole number (Choice B) B Integer (Choice C, Checked) C Rational (Choice D) D Irrational
Answer:
B and C
Step-by-step explanation:
I think that you mean -1 -1. That would equal -2
-2 is an integer and a rational number.
An integer are the whole numbers 0,1,2,3 and so on and their opposites, -1, -2, -3 ,-4 and so on
Rational number is when you can write a number as an integer over and integer. You can write -2 as -2/1
Answer: a,b,c
I did it in the test