Using an arithmetic sequence, we have that:
The first six terms of the sequence are: 450, 440, 430, 420, 410 and 400.The 6th term of 400 means that after 6 weeks, the amount you owe your friend is of $400.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]
In which [tex]a_1[/tex] is the first term.
In this problem, we have that:
On the first week, you owe the friend $450, hence the first term is [tex]a_1 = 450[/tex].Each week, you pay back $10, hence the amount you owe is reduced by 10, and the common difference is of d = 10.Hence, considering the common difference, each term is the previous term subtracted by 10, and:
The first six terms of the sequence are: 450, 440, 430, 420, 410 and 400.The 6th term of 400 means that after 6 weeks, the amount you owe your friend is of $400.More can be learned about arithmetic sequences at https://brainly.com/question/6561461
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Find x to the nearest tenth.
18.7
1.3
19.3
To solve this problem, we will need to use trigonometry.
Remember: SOH-CAH-TOA
Looking from the angle, we know the opposite side and want to find the adjacent side. Therefore, we should use the tangent function.
tan(15) = 5 / x
x * tan(15) = 5
x = 5 / tan(15)
x = 18.7 units
Hope this helps!! :)
How to solve -10=║j-7║
Answer:
-10=||-3-7||
The answer is -3.
The sum of two numbers is 113. Four times the smaller number equals three times the greater number.
Answer:
the larger number is 452/7 and the smaller number is 1356/28
what is 3 3/4 - 2 1/5
Answer:
1 11/20
Step-by-step explanation:
3 3/4 - 2 1/5
(3-2) + (3/4 - 1/5)
1 + 11/20
1 11/20 or 31/20 or 1.55
Find the value of x.
Answer:
[tex]x = 88[/tex]
Step-by-step explanation:
the degrees of a triangle = 180. write an equation adding the angle measures given
[tex]48 + x - 44 + x = 180[/tex]
collect like terms on the left
[tex]2x + 4 = 180[/tex]
subtract 4 from both sides
[tex]2x = 176[/tex]
divide both sides by 2
[tex]x = 88[/tex]
transform the equation formulated into standard form ax²+bx+c=0
Answer:
ax^2 + bx + c = 0
Here is a specific example:
5x^2 - 3x + 2 = 0
In other words:
You have zero on the right.
On the left, you have the powers of “x” in descending order.
what is 1/2 + 2 1/4?
Answer:
2 3/4
Step-by-step explanation:
Michael and Lindsey are saving money. Micheal begins with $20 and saves $5 per week. Lindsey begins with no money, but saves $10 per week. Enter the number of weeks it will take for Lindsey and Michael to save the same amount of money.
Step-by-step explanation: 4 Weeks
Find the first match in the same number of weeks.
25, 30, 35, 40, 45, 50, 55, 60
10, 20, 30, 40, 50, 60, 70, 80,
As you can see, 40 dollars for each person is four weeks.
Answer:
5
Step-by-step explanation:
plz mark brainly
Someone can help me please?
Answer:
19 x 10^12 = 1.9 x 10 ^13
23 x 10^8 = 2.3 x 10^9
23 x 10^7 = 2.3 x 10^8
19 x 10^-12 = 1.9 x 10^-11
23 x 10^-8 = 2.3 x 10^-7
23 x 10^-7 = 2.3 x 10^-6
Step-by-step explanation:
What is the value of x in the equation 3x/4=24
Answer:
X= 32
Step-by-step explanation:
Answer:
X = 32
Step-by-step explanation:
If you do 24 x 4 you will get 96.
From there you have to divide 3 by 96, since 3 times x has to equal to 96. Since 24 x 4 is 96 and you need to divide 3x by 4.
After you do 96/3 you will get 32. Thus the answer being 32.
Hope this helps!
Write x > 6 in interval notation.
Answer:
x > 6 in interval notation is: (6, ∞)
NOTE:
Interval notation is a way to represent an interval as a set of numbers. The numbers are the endpoints of the interval.
-----
Build the interval notation for x:
Since you did not enter an equal sign, this translates to ( since we will not be including the number 6
Based on the > you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞
(6,+∞)----- (answer)
Set Builder Notation for x:
{ x | x>6 } where | denotes such that
Display the literal representation for x
7,8,9,10,11,12,13,14,15,16,...,∞
Translate the phrase into an algebraic expression.
The product of x and 4.
Answer: x4
Step-by-step explanation:
George practises his guitar for 1 1/5 hours per day on school days. On Saturday he increases to 2 1/2 times his normal time. How many hours does he practice on Saturdays.
Answer: 231/10
Step-by-step explanation: 11/5 x 21/2
= (11 x 21) = 231
= 231/5 x 2
= 231/10
Answer:
3 hours
Step-by-step explanation
It would be easier to convert your fractions into decimals.
1/5 is the same as 2/10. Since the denominator was multiplied by 2 then the numerator must be multiplied by 2 also.
2/10 in decimal form is 0.2
He would practice 1.2 hours per day on school days
On Saturday his practice is 2 1/2 times longer than 1.2 hours.
Convert 1/2 into decimal form. 1/2 is the same as 0.5.
So 2 1/2 is the same as 2.5
If you multiply the original time (1.2 hours) by 2.5, you'll know how long he practices on Saturday.
1.2 x 2.5 = 3 hours.
1.2
x 2.5
-------
60
24
------------
300
since you have 1 decimal place in the top number and 1 decimal in the bottom number, you must move your decimal 2 places to the left on your answer. Instead of 300, your answer becomes 3.00
A plane left Atlanta at 4:15 PM and arrived
at Boston in 3 hours and 50 minutes. When did
it arrive at Boston?
A. 7:05 PM
B. 7:45 PM
C. 7: 55 PM
D. 8:05 PM
The area of a rectangle garden is 4158m^2. If the width of the garden is 54m, what is its length?
Answer:
Step-by-step explanation:314
Answer:
length-77m
Step-by-step explanation:
since we already know the area which is 4158m² and width which is 54m we will do the opposite of multiplication to find the length which is division you divide 4158 by 58 and we get 77m
how many cubes are colored on one side when there are 729 cubes that form a 9 x 9 x9 cube
Answer:
9x9x9
9x9=81
81x9=729
The answer is 729.
In AIJK, k = 26 cm, ZI=135º and ZJ=11°. Find the length of i, to the nearest
centimeter.
Answer:
•26 cm to S1
Step-by-step explanation:
I KNOW IT THAT ANSWER
If a rotation takes triangle CAT to C'A'T', what is C'T'?
Answers:
3
square root of 17
5
Cannot be determined
Answer:
its B
Step-by-step explanation:
the A point is in line with 10 squared and its in line with the 17 squared
The measure of C'T' after rotation of transformation is option (B) square root of 17 is the correct answer.
What is a rotation transformation?A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane. In both transformations the size and shape of the figure stays exactly the same.
For the given situation,
The graph shows the triangle CAT.
If a rotation takes triangle CAT to C'A'T',
then from the definition of rotation transformation the size and shape of the figure stays exactly the same.
Thus the measure of C'T' is same as CT.
⇒ [tex]C'T' =\sqrt{17}[/tex]
Hence we can conclude that the measure of C'T' after rotation of transformation is option (B) square root of 17 is the correct answer.
Learn more about rotation transformation here
https://brainly.com/question/12865301
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The points (2, 10) and (0, 4) fall on a particular line. What is its equation in slope-intercept form?
Answer:
slope=x^2-x^1/y^2-y^1
this is the formula.
Find the value of x that makes p||q
Answer:
x = 30
Step-by-step explanation:
The angle on the opposite side as the identified angle (80°) is whatever is left over from 180° (which would be 100°). Therefore, the angle on the diagonally opposite side is identical.
Given m∠14+m∠3=180° .
Which lines are parallel, if any must be parallel, based on the given information?
a∥b by the converse of the same-side interior angles theorem.
c∥d by the converse of the corresponding angles theorem.
Not enough information to make a conclusion.
a∥b by the converse of the alternate interior angles theorem.
description of picture : Two nearly horizontal lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.
Answer:
c∥d by the converse of the corresponding angles theorem.
Step-by-step explanation:
just took the test
(-4x+33) (2x+81) find m
Answer:
Step-by-step explanation:
=−8x2−258x+2673
Part B
If you graphed a line to represent the situation, what point would represent the unit rate?
Answer: 1, 20!
Step-by-step explanation:
please help me with number four
The ratio of the number of apples to the number of oranges is 5:2 . There are 18 more apples than oranges. If 24 oranges are added, what will be the new ratios of apples to the numbers of orange?
Answer:
5 : 6
Step-by-step explanation:
The ratio of apples to oranges is 5 : 2 = 5x : 2x ( x is a multiplier )
There are 18 more apples than oranges , that is
5x = 2x + 18 ( subtract 2x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
There are 5 × 6 = 30 apples and 2 × 6 = 12 oranges
The number of oranges is increased by 24, to 12 + 24 = 36 , then
30 apples : 36 oranges ( divide both parts by 6 )
= 5 : 6
First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlines own?
(Answer is ratio or proportion)
Answer:
250÷ 40 = 6.25
6.25 x 15 = 94
Aimee went to a stationary shop. She purchased 2 packs of red pens, 4 packs of black pens, and 3 packs of blue pens.
The cost of each pack of pens was $2.50. Which expression shows the total amount Aimee spent on the pens?
A ($2.50 x 2 x 4x3)
B $2.50 x (2+4+3)
C($2.50 x 2) + 3+4
D (52.50 +2 +4+3)
Answer:
A.
Step-by-step explanation:
The answer is B.
Each pack costs 2.50, so this means we can add all of our packs brought together, before multiplying. (2+4+3)=7. So our final equation should be 7 x 2.50 ,therefore B is our correct answer.
Hope this helps. & don't forget to drink water !!
Use the hundredths grid to answer the question.
Describe the decimal multiplication equation and product shown by the model. Include details of where each part of the equation is found on the model.
The question is an illustration of multiplication model.
The multiplication model is: [tex]\mathbf{0.90 \times 0.10 =0.09}[/tex]
From the figure, the shaded portions are:
[tex]\mathbf{Green = \frac{90}{100}}[/tex]
[tex]\mathbf{Orange = \frac{10}{100}}[/tex]
So, the multiplication model represents:
[tex]\mathbf{Model =Green \times Orange}[/tex]
This gives
[tex]\mathbf{Model =\frac{90}{100} \times \frac{10}{100}}[/tex]
Express as decimal
[tex]\mathbf{Model =0.90 \times 0.10}[/tex]
[tex]\mathbf{Model =0.09}[/tex]
Hence, the multiplication model is:
[tex]\mathbf{0.90 \times 0.10 =0.09}[/tex]
Read more about multiplication models at:
https://brainly.com/question/1928793
Luisa is saving money to buy a new laptop computer that costs $460 . She started with $110 and every month she saves $25 . Her savings can be modeled by the function s (x) =25x+110
A : graph the equation below make sure you label each axis with the appropriate unit of measure
B. Write a statement using function notation that shows when Luisa will reach her goal
C: use words to describe the symbolic statement
Can you guys please help me I’ll mark you as a brainliest . Please help just this question please
Answer:
A: *Graph shown in image*
B: She will reach her goal when the x is 14 (14,460) with y being 460 (or the goal) giving you the equation [tex]y = \frac{50}{2} x + 110[/tex] going up 50 and going right 2 with x being 7 meaning you would have to go up 50 and right 2, seven times to reach 460.
Step-by-step explanation:
A: From your previous question you asked 14 hours ago with a screenshot, you did your graph wrong so for YOU make your graph look like the second image. (Plot the point 0,110 for the y intercept and plot -4.4,0 for the x line)
B: Lot's of explaining but you will get it once you add it to your own graph and go with the flow. Kind of like slope intercept form.
For C: you can answer in your own words since I gave you the priority answer(s)
Cual la respuesta plis
Answer:
do math
Step-by-step explanation:
up