ok so the answer is
i might be wrong but
6+7+8+9 = 30
so 9
Write an equation of each line in standard form with integer coefficients.
the line through (1,2) with slope 4/5
The equation of the line in standard form passing through point (1 , 2) with slope equal to 4/5 is 4x - 5y = -6.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the point slope form, plug in the values of the slope and the point to set up the equation.
(y - y1) = m(x - x1)
where m = 4/5 and (x1 , y1) = (1 , 2)
(y - 2) = 4/5(x - 1)
y - 2 = 4/5 x - 4/5
To express it in standard form, arrange the variables in one side and the constants on the other.
y - 2 = 4/5 x - 4/5
4/5 x - y = -2 + 4/5
4/5 x - y = -6/5
Multiply both sides by 5 to have integer coefficients.
5(4/5 x - y) = 5(-6/5)
4x - 5y = -6
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At an amusement park, 360 visitors rode the roller coaster in 3 hours. Write and solve a proportion to find the number of visitors at this rate who will ride the roller coaster in 7 hours.
Answer:
840
Step-by-step explanation:
360 divided by 3 = 120 Visitors per Hour
Now you do you 120 x 7 which equals to 840
Hope this helps ^^
Step-by-step explanation:
360 visitors in 3 hours.
that gives us the ratio
360/3
and because a ratio is nothing else than a fraction with a special meaning, we cab simplify this like any other fraction too :
360/3 = 120/1 = 120
in other words, out of the 3-hour ratio we know that there are 120 visitors in 1 hour.
and now it is easy to use it to find the number of visitors for 7 hours.
remember, if we multiply one part of the fraction by something, we need to multiply also the other part by the same number so that the value of the fraction stays the same.
in other words, we can only do
a/b × c/c
so, if we multiply the bottom part of our ratio by 7 (to go to 7 hours), we also have to multiply the top part by 7 to keep the ratio :
120/1 × 7/7 = 840/7
that tells us that there are 840 visitors in 7 hours.
quality real bad cause of the computer but can someone find the answer?
The coordinates of the vertices after a 270° counterclockwise rotation around the origin is done are:
S' - (0, -7)U' - (1, -1)T' - (6, -7)How to rotate 270° counterclockwise around the origin?When you rotate the vertices of a shape 270° counterclockwise rotation around the origin, then the coordinates change from (x, y) to (y,-x) where x and y are flipped and x becomes negative.
The coordinates after the 270° counterclockwise rotation around the origin are:
S = (7, 0)
S' = (0, -7)
U = (1, 1)
U' = (1, -1)
T = (7, 6)
T' = (6, -7)
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An employee earns $
20.25
per hour after receiving a
8
% raise. What was the employee's hourly pay before raise? Round your answer to the nearest cent.
The employee's pre-raise salary was $ ____
The employee's pre-raise salary was $18.75
What was the employee's hourly pay before raise?The given parameters are
New hourly pay = $20.25
Raise = 8%
The new hourly pay of the employee is calculated using
New hourly pay = Pre-raise salary * (1 + raise)
This gives
20.25 = Pre-raise salary * (1 + 8%)
Divide both sides by 1 + 8%
Pre-raise salary = 18.75
Hence, the employee's pre-raise salary was $18.75
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Identify a pattern and find the next three numbers in the pattern.
2,6,10,14, . . .
The difference between 6 and 2 is 4
The difference between 10 and 6 is 4
The difference between 14 and 10 is 4
for each number we just add 4 to the previous number.
14+4 = 18
18+4 =22
22+4 =26
The next 3 numbers in the pattern are 18, 22, 26.
What is Arithmetic sequence?
In an Arithmetic Sequence the difference between one term and the another could be a constant. In other words, we just include the same value each time infinitely. An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term.
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what is 0.5835 centimeter rounded to the nearest tenth
Answer:
0.6 centimeter
Step-by-step explanation:
The picture below should help you see the tenth place, or where we are rounding to! Since, the number after the tenth place is above 4, we are going to round the tenth place up :)
0.5835 cen. → 0.6 cen.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
b. What are the second and third terms of this arithmetic sequence? 80, 페, 페, 125,...........
The 2nd and 3rd term of an AP is found to be (a₂ = 95) and (a₃ = 110).
What is the sequence of AP arithmetic progression?In Arithmetic Progression, the difference between the two numerical orders is a fixed number (AP). Arithmetic Sequence is another name for it.
We'd come across a few key concepts in AP that had been labeled as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)As shown below, the AP can also be referred to in terms of common differences.
The following is the procedure for evaluating an AP's n-th term: an = a + (n − 1) × dThe arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, the given sequence is; 80, _, _, 125.
The series comprises of four given terms.
Let the first term be 'a₁' = 180.
The second term be 'a₂'.
The third term be 'a₃'.
And, the fourth term is 'a₄' = 125.
Use the nth term formula to find the common difference 'd'.
n-th term: an = a + (n − 1) × d
a₄ = a + (n - 1)d
125 = 80 + (4 - 1)d
45 = 3d
d = 15
Thus, the common difference is 15.
The second term is calculated as;
a₂ = a₁ + d
a₂ = 80 + 15
a₂ = 95.
The third term is estimated as;
a₃ = a₂ + d
a₃ = 95 = 15
a₃ = 110
Therefore, the 2nd and third term of an AP is computed as 95 and 110.
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Five years ago, Lucia’s age was 1/3 the age she will be in eleven years. How old is Lucia now? Enter an integer.
Answer:
13 years old
Step-by-step explanation:
Let the age now be = [tex]x[/tex]
Age 5 years ago = [tex]x - 5[/tex]
Age 11 years from now = [tex]x + 11[/tex]
[tex]x - 5 = \frac{1}{3}(x+11)[/tex]
[tex]x - 5 = \frac{1}{3}x + \frac{11}{3}[/tex]
[tex]x - \frac{1}{3}x = \frac{11}{3} + 5[/tex]
[tex]\frac{2}{3}x = \frac{26}{3}[/tex]
[tex]x = \frac{26}{3}/\frac{2}{3}[/tex]
[tex]x = 13[/tex]
6/7 x (-3/13) + 3/13 - 3/13 x 8/7
[tex]\frac{6}{7} \times(\frac{-3}{13} )+\frac{3}{13}-\frac{( \frac{3}{13} \times8)}{7}[/tex]
By simplifying answer is [tex]\frac{-3}{13}[/tex] in decimals -0.230769
Here, we have done addition, subtraction, multiplication and division.
[tex]\frac{6}{7} \times(\frac{-3}{13} )+\frac{3}{13}-\frac{( \frac{3}{13} \times8)}{7}\\[/tex]
First, We will do Multiplication
Adding a number to itself as many times as the value of the other number is equivalent to multiplying two numbers by their sum.
[tex]\frac{-18}{91} +\frac{3}{13}-\frac{\frac{24}{13} }{7}[/tex]
Now, We will do the division
Basically, dividing is the act of dividing anything into equal sections or groups.
[tex]\frac{-18}{91} +\frac{3}{13}-\frac{24 }{91}[/tex]
Now, We will do the subtraction and Addition
When objects are collected together, addition, a mathematical operation, describes how many total items there are in the collection.
The reverse of adding in mathematics is called subtraction. When a specific number of objects from a group are removed, subtraction is used to determine how many objects are still present in the group.
[tex]\frac{3}{13}-\frac{6 }{13}\\\frac{-3}{13} \\[/tex]
Therefore, the simplified answer is [tex]\frac{-3}{13}[/tex] in decimals -0.230769.
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A battery with 20% of its full capacity is connected to a charger. Every minute that passes, an
additional 5% of its capacity is charged. Graph
Answer:
25
Step-by-step explanation:
just count by five
then that your answer
Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.
What expression could she write to determine the perimeter of the triangle if s represents the length of the shortest side? (Recall that perimeter is the distance around a shape.)
Doy muchos puntos. Ayuda pls
Answer:
Ava had a greater percentage of change because her allowance increased by 150%, while Joey's only increased by 133%
Step-by-step explanation:
To find the percentage of change, you'll divide.
For Ava:
18 ÷ 12 = 1.5
This means her percentage of change is 150%
For Joey:
24 ÷ 18 = 1.33333... (Round to 1.33)
This means his percentage of change is 133%
150% > 133%, so Ava has the greater percentage of change.
What is the answer to -7/8-(-3/16)
Answer:
-11/16
Step-by-step explanation:
based on calculator
Please help
An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.5%
What is arithmetic average ROR?
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments
arithmetic average ROR=(2.1%+4.4%+7.8%+10.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average ROR=($3200/$8485*2.1%+$1750/$8485*4.4%+$1235/$8485*7.8%+$2300/$8485*10.5%)
weighted average ROR=5.68%
difference=6.20%-5.68%
difference=0.5%
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A cone 4.5 centimeters high with a radius of 3 centimeters. Label B is pointing to the circular base of the cone.
The volume of the cone isV = 42.41[tex]Cm^{3}[/tex].
In order to calculate the volume of the solid, you use the following formula:
where
r: radius of the circular base of the cone = 3 cm
h: height from the circular base to the peak of the cone = 4.5 cm
You replace the values of r and h in the formula for the
volume V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex] [tex](3cm)^{2}[/tex]4.5 =42.411 [tex]cm^{3}[/tex] = 42.41 [tex]cm^{3}[/tex]
Hence, the volume of the cone is 42.41 [tex]Cm^{3}[/tex]
Volume may be a measure of occupied three-dimensional space. it's often quantified numerically using SI derived units (such as the cubic meter and liter) or by various imperial units (such as the gallon, quart, cubic inch). The definition of length (cubed) is interrelated with volume. the quantity of a container is generally understood to be the capacity of the container; i.e., the quantity of fluid (gas or liquid) that the container could hold, instead of the amount of space the container itself displaces.In past , volume is measured using similar-shaped natural containers and afterward , standardized containers. Some simple three-dimensional shapes can have its volume easily calculated using arithmetic formulas. Volumes of more complicated shapes are often calculated with integral calculus if a formula exists for the shape's boundary.
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Chantel has 45 green balloons and 54 purple balloons to make into bunches for a school celebration.she wants each bunch to have the same number of each ballon.what is thr greatest numberof bunches chantel can make if she wants tobuse all of her balloons?how many purple balloons will she put in each bunch
Answer: greatest number of bunches using all balloon is 48, using purple ballon is 27
Step-by-step explanation:
San Diego, California is about 2,683,824 feet away from San Francisco, California. Los Angeles is about 700,000 feet closer to San Francisco than San Diego is. Which of the following could be the actual distance between Los Angeles and San Francisco?
The actual distance between Los Angeles and San Francisco is 19,83,824 feet.
Given that, the distance between San Diego and San Francisco is 2,683,824 feet away and Los Angeles is about 700,000 feet closer to San Francisco than San Diego.
What is the distance?Distance is the total movement of an object without any regard for direction. We can define distance as how much ground an object has covered despite its starting or ending point.
The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco - The difference in distance.
= 2,683,824-700,000
= 19,83,824
Therefore, the actual distance between Los Angeles and San Francisco is 19,83,824 feet.
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Write a two-column proof.
Given: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR
Prove: ∠K P L ≅ ∠ M R L
∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
What specifically is meant by "triangle congruency"?When two triangles' three corresponding sides and angles are the same sizes, they are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are moved.Congruence exists when two triangles satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR
To Prove: ∠KPL ≅ ∠MRL
As MR ⊥ PR (Given), then: ∠MRL = 90°Similarly, KP⊥ PR (Given), then: ∠KPL = 90°So, ∠KPL ≅ ∠MRL.
Therefore, ∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
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The relation between degrees Fahrenheit F and degrees Celsius C is described by the function F = (9/5)C+32 In the following ordered pairs, the first element is degrees Celsius and the second element is its equivalent in degrees Fahrenheit. Find the unknown measure in each ordered pair.
c. (p,12)
5:9 is degrees Celsius and the second element is its equivalent in degrees Fahrenheit.
What does a temperature in Fahrenheit mean?
Water freezes at 32 degrees Fahrenheit and boils at 212 degrees Fahrenheit on the Fahrenheit scale, which is used to measure temperature. It is denoted by the °F sign. The temperature had risen to 100 degrees Fahrenheit by mid-morning.F = (9/5)C+32
F = C x 9/5 + 32
C = (F - 32) x 5/9
The above equations could easily be derived by the following relationships:
Freezing Point = 0C or 32F and Boiling Point = 100C or 212F
Range from freezing point to boiling point = 100C or 180F,
i.e. C : F = 100:180 = 5:9
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Im begging y’all 33 to 36
Answer:
33a. 7^6
33b. 3^-4
34a. 6^4
34b. 11^0
34c. 5^4
35a. 144
36a. 5^7
36b. 2^8
36c. 3^7
give brainliest
Step-by-step explanation:
Using laws of indices
put all no to the same base
33a. 4+3-1 =6
7^6
33b.-2+8-10=-4
3^-4
34a. 7+2-5=4
6^4
34b. 2-1+3=4
11^4
34c. 6-2=4
5^4
35a. 3^2×4^2
9×16=144
35c. 5*2-6
10-6=4
3^4
36a. Remember 5^3=125
4+3=7
5^7
36b. 5+3=8
2^8
36c. 5+2=7
3^7
In question 35b, I don't think I know it but please give me brainliest.
Hope it helps, for more explanation ask in the comment section.
Solve √5-4 x-6=7 .
(F) -44
(G) -41
(H) 41
(J) 44
The answer for this equation is -2.69.
Given,
Equation, [tex]\sqrt{5}[/tex] - 4x - 6 = 7
We have to find x using Order of Operations.
That is,
[tex]\sqrt{5}[/tex] - 4x - 6 = 7
[tex]\sqrt{5}[/tex] - 4x = 7 + 6
[tex]\sqrt{5}[/tex] - 4x = 13
-4x = 13 - [tex]\sqrt{5}[/tex]
-4x = 10.76
x = 10.76 / -4
x = -2.69
Therefore, the answer for the given equation [tex]\sqrt{5}[/tex] - 4x - 6 = 7 is -2.69
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Two vertices of rectangle ABCD are located at A(-4,-2) and B(5,-2). If the
midpoint of AD is located 5 units down from A, what are the coordinates of the
vertices C and D?
By using the definition of a rectangle on a Cartesian plane, the coordinates of the vertices C and D are C(x, y) = (5, - 12) and D(x, y) = (- 4, - 12).
What are the missing coordinates of two vertices of rectangles?
Rectangles are quadrilaterals with two pairs of parallel sides of equal length and four right internal angles. On a Cartesian plane, we find define the locations of the vertices of the rectangle below:
A(x, y) = (a, c), B(x, y) = (b, c), C(x, y) = (b, d), D(x, y) = (a, d)
If we know that a = - 4, b = 5, c = - 2, d = - 12, then the coordinates of the vertices C and D are C(x, y) = (5, - 12) and D(x, y) = (- 4, - 12).
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The formula I = √W/R gives the electric current I in amperes that flows through an appliance, where W is the power in watts and R is the resistance in ohms. Which set of numbers best describes the value of I for the given values of W and R ? W=100, R=25
The equation be I = √W/R
Where I is the current.
W stands for electrical power.
R stands for resistance in ohms then the value of I = 1.414
What is meant by electrical power?A circuit's ability to transport electrical energy is referred to as its electric power. One joule per second, or one watt, is the SI unit of power. Similar to other SI units, watts have standard suffixes that refer to thousands, millions, and billions of watts as kilowatts, megawatts, and gigawatts, respectively.
Let the equation be I = √W/R
Where W and R are both within the square root symbol and
I is the current.
W stands for electrical power.
R stands for resistance in ohms.
When W = 100, R = 25, to solve for the value of I for each set.
I = √100/25
The square root of I = √4
W = 100, R = 50 and I = 2.
I = √100/25
The square root of I = √2
Therefore, the value of I = 1.414
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What is the ratio of 5 days to 60 hours?
Answer:
12:1
Step-by-step explanation:
Answer:
2:1
Step-by-step explanation:
Briefly explain how to get the next term in the Fibonacci Sequence
PLS HELPP
Answer:
The Fibonacci sequence is defined by , for all , when and . In other words, to get the next term in the sequence, add the two previous terms. The notation that we will use to represent the Fibonacci sequence is as follows: f1=1,f2=1,f3=2,f4=3,f5=5,f6=8,f7=13,f8=21,f9=34,f10=55,f11=89,f12=144,…
Showing results for stan works as a customer service representative. he know that the amount in dollars of his yearly bonus is represented by the expression -1.5x + 546 where x is the number of complaints customer had about him during the year. to find his bonus if he gets 20 complaints he substitutes 20 for x. what should be his next step? what would his bonus be?
As a customer service representative Stan's yearly bonus would be 516 dollars.
What is Bonus ?A bonus is a financial compensation that is above and beyond the normal payment expectations of its recipient. Bonuses may be awarded by a company as an incentive or to reward good performance.
We have given that the amount of his yearly bonus in expression which is -1.5x + 546 dollars.
Where, 'x' = Number of complaints customer
We know that Stan gets 20 complaints,
To find his bonus we will solve this expression -1.5x + 546 by substituting 20 for x.
Bonus of Stan = -1.5x + 546
= (-1.5×20) + 546
= -30 + 546 = 516
Hence, the yearly bonus of Stan is 516 dollars.
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In triangle ABC the m
Answer: Side C, Side B, Side A
Step-by-step explanation:
m<A=36 degrees
m<C=80 degrees
A+B+C=180 degrees
36+B+80=180
116+B=180
116-116+B=180-116
B=64 ==> m<B=64 degrees
Greatest to least: Side C, Side B, Side A
will mark brainliest for correct answer
Answer:
3rd one
Step-by-step explanation:
My mom is a teacher lol
Solve for x then find the measures of the following angles
Answer:
x= 10 , DEG = 60 , GEF = 40
Step-by-step explanation:
Firstly the angle DEH is 90 degrees because of the red square indicating it.
That means the angle DEF is also 90 degrees.
To find the x you would do:
6x + 4x = 90
now add the 6x and 4x together:
10x = 90
now divide 10 from both sides to isolate the x:
x = 10
now you have your x which is 10.
For angle DEG you plug in the 10 for the x:
DEG = 6(10)
after that you multiply the 6 and 10:
DEG = 60
For angle GEF you plug in the 10 for the x:
GEF = 4(10)
after that you multiply 4 and 10:
GEF = 40
can someone help me with this question please? I'm confused
Find the perimeter when 106 triangles are put together in the pattern shown below. Assume that all triangle sides are 1 cm long.
Using an arithmetic sequence, it is found that the perimeter when 106 triangles are put together is of 108 cm.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
The perimeter of a figure is the sum of the outer sides of the figure. Hence, considering that all sides are 1 cm long, we have that:
When there is one triangle, the perimeter is of 3 cm.When there are two triangle, the perimeter is of 4 cm(1 + 1 + 1 + 1 = 4), as shown in the figure given at the end of the answer.When there is three triangles, the perimeter is of 5 cm.When there is four triangles, the perimeter is of 6 cm.Hence the first term and the common difference are given as follows:
[tex]a_1 = 3, d = 1[/tex]
Hence the 106th term of the sequence is:
[tex]a_{106} = 3 + 105 = 108[/tex]
The perimeter when 106 triangles are put together is of 108 cm.
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