Answer:
See Explanation
Step-by-step explanation:
The question is incomplete but it can still be solved.
To answer this question, I'll solve for the general formula which to determine Rico's donations
The given sequence shows an Arithmetic sequence; such that
[tex]First\ Term = T_1 = 125[/tex]
[tex]Common\ Difference = d = 143 - 125[/tex]
[tex]d = 18[/tex]
The general formula (Tn) is as follows:
[tex]T_n = T_1 +(n - 1)d[/tex]
Substitute values for T1 and d
[tex]T_n = 125 +(n - 1) * 18[/tex]
Open Bracket
[tex]T_n = 125 +18n - 18[/tex]
Collect Like Terms
[tex]T_n = 125 - 18+18n[/tex]
[tex]T_n = 107+18n[/tex]
What is the image point of (-4, 2) after a translation left 1 unit and down 2 units?
Answer:
(- 5, 0 )
Step-by-step explanation:
A translation of 1 unit left means subtract 1 from the x- coordinate.
A translation of 2 units down means subtract 2 from the y- coordinate.
(- 4, 2 ) → (- 4 - 1, 2 - 2 ) → (- 5, 0 )
The translated coordinate is (-5, 0).
What is Translation?A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction.
Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
Image point (-4, 2)
And, now we have to translate the figure left 1 unit and down 2 units
So, A translation of 1 unit left means subtract 1 from the x- coordinate.
and translation of 2 units down means subtract 2 from the y- coordinate.
Thus, (- 4, 2 ) ----> (- 4 - 1, 2 - 2 ) ----> (- 5, 0 )
Hence, the translated coordinate is (-5, 0).
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multiplicative inverse of negative 3
Answer: -1/3
Step-by-step explanation: In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x-1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. Sice -3 can also be shown as -3/1, all we do is flip this to get -1/3.
The multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].
What is a multiplicative inverse?"The multiplicative inverse of a number is defined as a number that when multiplied by the original number gives the product as 1. The multiplicative inverse of 'x' denoted by [tex]\frac{1}{x}[/tex] or [tex]x^{-1}[/tex]."
A multiplicative inverse or reciprocal for a number x is denoted by [tex]\frac{1}{x}[/tex] or [tex]x^{-1}[/tex], The multiplicative inverse of a fraction [tex]\frac{a}{b}[/tex] is [tex]\frac{b}{a}[/tex].
Since -3 can also be written as [tex]\frac{-3}{1}[/tex]
We have to flip [tex]\frac{-3}{1}[/tex] to get multiplicative inverse.
The multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].
Thus, the multiplicative inverse of -3 is [tex]\frac{-1}{3}[/tex].
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Priya can bike 150 meters in 20 seconds at this rate , how long would it take her to bike in 3,000 meters???????? Does anyone know I’m stuck
Answer:
400 seconds
Step-by-step explanation:
150/20=7.5 meters per second
3000/7.5=400 seconds
Priya will take 400 seconds to cover distance of 3,000 meters.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
Distance covered by Priya in 20 seconds = 150 meters.
The speed of Priya = 150 / 20 = 15/2 meters per second
To find the time to cover the distance of 3,000 meter,
Use formula,
Time = distance / speed
Time = 3,000 / (15/2)
Time = 400 seconds
To cover 3,000-meter distance, Priya will take 400 seconds.
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The sum of the 2nd and 3rd terms of an arithmetic sequence is 27 and the sum of the 4th and 5th terms is 77.
Find the common difference of the sequence.
Give your answer as a decimal.
Answer:
d = 12.5
Step-by-step explanation:
Second term = a + d
Third term = a + 2d
a + d + a + 2d = 27
2a + 3d = 27
Fourth term = a + 3d
Fifth term = a + 4d
a + 3d + a + 4d = 77
2a + 7d = 77
2a + 3d = 27 (1)
2a + 7d = 77 (2)
Subtract (1) from (2) to eliminate a
7d - 3d = 77 - 27
4d = 50
Divide both sides by 4
d = 50/4
= 12. 5
d = 12.5
Substitute d = 12.5 into (1)
2a + 3d = 27
2a + 3(12.5) = 27
2a + 37.5 = 27
2a = 27 - 37.5
2a = -10.5
a = -10.5 / 2
= -5.25
a = -5.25
The common difference of the sequence is 12.5.
Given that,
The sum of the 2nd and 3rd terms of an arithmetic sequence is 27,
And the sum of the 4th and 5th terms is 77.
We have to determine,
The common difference of the sequence?
According to the question,
Let d is the common difference of the sequence,
The second term to the arithmetic series is,
[tex]\rm Second \ term= a+d[/tex]
And the third term to the arithmetic series is,
[tex]\rm Third \ term= a+2d[/tex]
The sum of the second and third terms of the sequence is 27.
[tex]\rm Second \ term + third \ term = 27\\\\a+d + a+2d = 27\\\\2a + 3d = 27[/tex]
The fourth term to the arithmetic series is,
[tex]\rm fourth \ term= a+3d[/tex]
And the fifth term to the arithmetic series is,
[tex]\rm fifth \ term= a+4d[/tex]
The sum of the fourth and fifth terms of the sequence is 77.
[tex]\rm fourth\ term + fifth \ term = 77\\\\a+3d + a+4d = 77\\\\2a + 7d = 77[/tex]
On solving both the equations,
[tex]\rm 2a + 3d = 27\\\\2a + 7d = 77[/tex]
Subtract equation 1 from equation 2,
[tex]\rm 2a + 3d - (2a + 7d) = 27-77\\\\2a +3d -2a-7d = -50\\\\-4d = -50\\\\d = \dfarc{-50}{-4}\\\\d = \dfrac{25}{2}\\\\d = 12.5[/tex]
Hence, The required common difference of the sequence is 12.5.
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Can someone help me identify what kind of angle this is? corresponding, alternate exterior, alternate interior etc
The graph below shows the relationship between time and distance traveled by a race car moving at a
constant rate and at its maximum speed. How long did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)
Answer:
2.4 hours
Step-by-step explanation:
The graph of the question is attached below.
A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the intercept.
The equation of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (1.5, 300) and (2.5, 500). Hence using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-300=\frac{500-300}{2.5-1.5} (x-1.5)\\\\y-300=200(x-1.5)\\\\y-300=200x-300\\\\y=200x-300+300\\\\y=200x\\\\To\ find\ the\ time\ taken\ to\ travel\ 480 \ miles,we\ substitute\ y=480\ \\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]
What is the value of a in the equation 3 a plus b equals 54 when b equals 9?
Answer:
a= 15
Step-by-step explanation:
Given
3a + b = 54 ← substitute b = 9
3a + 9 = 54 ( subtract 9 from both sides )
3a = 45 ( divide both sides by 3 )
a = 15
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2010 was 164, and then went down by 50% in 2011. How many robberies were there in Springfield in 2011?
Answer:
82
Step-by-step explanation:
164 * 0.5 = 82
You are taking the current number 164, and halving it.
Select all of the symbols that would make the comparison true. 2.5___2.05
Answer:
the 2.5 has is the bigger one
Step-by-step explanation:
if you are talking about "which one is greater" than i think its right
what is the equivalent expression of 0.5
Answer:
1/2=0.5
Step-by-step explanation:
What is the product of 2 * -5?
Answer:-10
Step-by-step explanation:a negative times a positive equals a negative
Answer:
-10
Step-by-step explanation:
When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number
Which system of inequalities with a solution point is
represented by the graph?
y> 2x - 2 and y < -1/2x + 1; (3,1)
y> 2x - 2 and y< -1/2x + 1; (-3,1)
y>2x+2 and y < - 1/2x - 1; (3,1)
y> 2x+2 and y < -1/2x + 1; (-3,1)
Answer:D
Step-by-step explanation:
Answer: D. y>2x+2 and y<-1/2x+1; (-3, 1)
Step-by-step explanation:
PLEASE HURRY
Which equation can be used to represent the statement?
Half of a number minus seven is one and five-tenths.
o 3+x= 1.5
0 1 / 2 x - 1.5=7
o 2-7=15
07-3=1.5
Answer:
C
Step-by-step explanation:
Your welcome!!!!!!!!
There are 24 students in a classroom.
1/3 of the students are wearing a red shirt.
1/4 of the students are wearing a blue shirt.
Everyone else is wearing a white shirt.
How many students in the classroom are wearing a white shirt?
amswer choices
7 students
10 students
17 students
IS 5.6........... a natural number ,integer, irrational number, or a real number
Answer:
irrational number
Step-by-step explanation:
it has a repeating decimal
Answer:
5.6 is a irrational number
Step-by-step explanation:
since 5.6 can be expressed as a fraction (28/5)
Is the figure an example of perpendicular lines? A. Yes, the lines intersect at a 90- degree angle B. Yes, the lines do not intersect at a 90-degree angle C. No, the lines intersect at a 90-degree angle D. No, the lines do not intersect at a 90-degree angle.
Answer:
it is B: yes the lines do not intersect at a 90 degree angle.
Step-by-step explanation:
if it intersected at a 90 degree angle, then it would have the 90 degree angle symbol and the figure would look like a cross, rather than an X shape.
here is an example of a figure that is perpendicular with a 90 degree angle:
17X+1 +20x-14 = 90
find x
Answer:
x = 2.8
Step-by-step explanation:
17x+1+20x-14 = 90
Combine like terms.
37x-13 = 90
Add 13 on both sides.
37x-13 = 90
+13 +13
37x = 103
Divide both sides by 37.
37x = 103
/37 /37
x = 2.8
(I rounded up, but if you need a more specific number, just search up 103 divided by 37.)
Hopefully this helps you!! Have an amazing day c:
Xavier takes 2.5 hours to drive 185 kilometers. What is his speed?
Help
Answer:
74 km/hr
Step-by-step explanation:
185 km / 2.5 hr = 74 km/hr
matthews bed takes up 1/3 of the width of his bedroom 3/5 of the length. what fraction of the area of the floor does matthews bed take up?
Answer:
1/5 (one fifth)
Step-by-step explanation:
if x is the length of the bedroom and y is the width then we can do big brain maffs
Length of floor = x
Width of floor = y
Length of bed = 3/5*x or 3x/5
Width of bed = 1/3*y or y/3
Area of floor = xy
Area of bed = 3x/5 * y/3 = xy/5
Area of bed/Area of floor = (xy/5) / xy = 1/5
find the value of x- PLEASE HELP!!!
I need to show my work
Answer:
x = 73
Step-by-step explanation:
so a circle is 360degrees,
the components that make up the 360 degrees are given, so form an equation and solve
295 + 38 + x - 46 = 360
solve with inverse operations and simplifying
295 + 38 + x - 46 = 360
-295 -295
38 + x - 46 = 65
-38 -38
x - 46 = 27
+ 46 +46
x = 73
Please help asap I need help 25 points
i will first find the number that if u multiply 3 times u get 216
which is
6
so
rewrite it as (- 1/6)^3
and we pull this together it becomes - 1/6
-
−0.16
there is a bar (-) on top of 6
Can someone please help I need both of these questions like right now !
* if u do not know it please do not answer*
*Thanks you , have a good day/night/afternoon
Answer:
b a
Step-by-step explanation:
What values from the set 1 2 3 4 5 make the inequality true ? n + 2 < 6
Answer:
1, 2, 3
Step-by-step explanation:
URGENT, The following table shows the expressions that represent the sales of 4 companies:
Company A, B, C, D
Sales 110(0.70)^x, 140(1.07)^x, 430(1.90)^x, 310(1.14)^x
Rank the company sales by smallest to largest percent of increase and select the correct answer below.
1) A, B, C, D
2) A, B, D, C
3) D, C, B, A
4) D, C, A, B
Answer:
ABDC
Step-by-step explanation:
Company A B C D
Sales 110(0.70)x 140(1.07)x 430(1.90)x 310(1.14)x
the order from least to greatest is
110,140,310,430 or
ABDC
PLEASE HELP ASAP!!! I WILL GIVE BRAINLIEST!!!!
The figure shows Triangle ABC and some of its transformed images on a coordinate grid: A coordinate plane is shown. Triangle ABC includes points negative 10 comma 2, negative 7 comma 5, and negative 7 comma 3. Triangle 1 has endpoints negative 6 comma 3, negative 6 comma 5, and negative 3 comma 2. Triangle 2 has endpoints 2 comma 3, 2 comma 5, and 5 comma 2. Triangle 3 has endpoints negative 9 comma negative 1, negative 7 comma negative 1 and negative 5 comma negative 4. Triangle 4 has endpoints negative 1 comma 1, negative 1 comma negative 1, and negative 4 comma negative 2. Which of the four triangles was formed by a translation of Triangle ABC?
a. 1
b. 2
c. 3
d. 4
Answer:
4
Step-by-step explanation:
they cant change the angle or the way they face
Answer:
Actually it is 3
Step-by-step explanation:
Because i said so and i calculated it.
What is the slope of the line that passes through the points A(0, 1) and B(2, 7)?
Answer:
3
Step-by-step explanation:
We can use the formula [ y2-y1/x2-x1 ] to solve.
7-1/2-0
6/2
3
Best of Luck!
Which statement about numbers is true?
A. All integers are natural numbers.
B. All rational numbers are integers.
C. All natural numbers are whole numbers.
D. All rational numbers are natural numbers.
Answer:
C) All natural numbers are whole numbers.
Step-by-step explanation:
I got the awnser right on my quiz.
Hope this helps! :)
Answer:
c
Step-by-step explanation:
Tony made $90 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?
Answer: $216
Step-by-step explanation:
If you divide 90 by 5 then you get 18 so 18 multiplied by 12 is 216.
5p squared + 12q squared
Answer:
17p squared
Step-by-step explanation:
The GCF of 12 and 28 is _____.
Numerical Answers Expected!
Answer:
4
Step-by-step explanation:
Prime Factorization of the numbers:
12=2x2x3
28=2x2x7
GCF(12,28)
=2x2
=4