Answer:
ans of problem 12 is:
x=65
y=10
Answer:
Step-by-step explanation:
Problem 12:
I think that (2x-y)+60=(2x+y)+40
Because of the Alternate Interior Angles theorem, which places the 40 next to (2x+y) so then you know they are a linear pair. Same can be done for the side with the 60 degree angle. So both sides add up to 180 so they are congruent themselves and you can put them in this format:
(2x-y)+60=(2x+y)+40
-40 -40
We do this to remove the 40 from the right side completely, and whatever you do to one side of the equation you have to do to the other as well so remove 40 from both.
(2x-y)+20=(2x+y)
-2x -2x
Again, we are just trying to find out y right now
-y +20=y
+y +y
20 = 2y
10 = y
Then insert the y into an equation telling us that it is equal to 180 (because we know that from before) to get what x is
(2x-y)+60=180
We can also input our y that we found out was 10 from before:
(2x-10)+60=180
And now we can add up 60 and -10
2x+50=180
Now subtract 50 to both sides
2x=130
And divide both sides by 2
x=75
So x=75 and y=10
Feel free to ask any questions
Problem 13:
The same type of working out, just with different numbers
Jaime used a microscope to measure the diameter of a hair. She found the diameter of her hair was 0.000072 meter. How is this number written in scientific notation?
Answer:
7.2 × 10 with an exponent of -5
Step-by-step explanation:
the answer is 7.2×10 with an exponent of -5
A cell phone company charges $4 per GB beyond 20GB in a month. The monthly plan is $59.99, and the bill for January is $75.99. How many GB were used in that month?
Answer:
24GB
Step-by-step explanation:
75.99-59.99=16 This is how much extra money was paid.
16/4=4 Divide this by the cost per GB.
20+4=24GB Add the 20GB included in the plan.
Answer:
Step-by-step explanation:
75.99-59.99=16
$16 worth of GB used for that month
which means 16/4=4 GB extra were used that month beyond the 20 GB
so total GB usage for that month is 24 GB
0.6x + 3 = 0.1x - 7 what value of x makes the question true
Answer:x=-20
Step-by-step explanation:
How many angles are supplementary to the angle of 100 degrees?
Answer:
I think its 2 good luck
Step-by-step explanation:
Answer:
100 degrees and 80 degrees are supplementary angles
Step-by-step explanation:
2 angles are supplementary if they add up to 180 degrees
Text? I go to much going on inside of my head..
Answer:
If you need anything just let me know.
Step-by-step explanation:
Hope you have a good day.
Use FOIL to determine the following Expression
Answer:
Undefined?
Step-by-step explanation:
x^2-12x+20=(x-2)(x-10)
x^2-12x+20=x^2-10x-2x-20
-12x+20=-12x-20
20=-20
40=0
What is the value of the expression below when z=2
4z2-3z-4 please help
Subtracting fractions with unlike denominators 9/3-6/10
Answer:
2 2/5
Step-by-step explanation:
11. Jack and Jill are going tubing and it costs $50 for the first 2 hours to rent the tubes and $20 for each
additional hour. If they have $100 to spend, at most, how many hours can they rent the tubes? Set up an inequality and
solve. Don't forget to define the variable solve. DONT forget to define the variable PLEASE THIS IS DUE TODAY!
Answer:
10 dollars left, four hours of tubing
Step-by-step explanation:
The vertex of the graph of y = (x - 1)2.5 is
Answer:
vertex = (1, - 5 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x - 1)² - 5 ← is in vertex form
with (h, k ) = (1, - 5 ) ← vertex
Add using the number line.
−9+6
Drag and drop the word Sum to the correct value on the number line.
Answer:
-3
Step-by-step explanation:
Please help me fast please , i really dont understand .
Answer:
y= 1/3x - 5/2 or D
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x - 6y = 15
-6y = -2x + 15
6y = 2x - 15
y = 2/6x - 15/6
y = 1/3x - 5/2
answer is C
A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on, until there are 200 logs in the bottom row. Is the pattern an arithmetic sequence? Identify a and d. Write the 50th term of the sequence. Find the total number of logs in the first 10 rows.
Answer:
1) Is the pattern an arithmetic sequence?
Yes it is
2)Identify a and d.
a = First term = 2
d = Common difference = 2
3) Write the 50th term of the sequence.
50th term = 100
4) Find the total number of logs in the first 10 rows.
= 1010 logs
Step-by-step explanation:
Is the pattern an arithmetic sequence?
Yes it is
2) Identify a and d.
A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,
The formula for arithmetic sequence =
an = a+ (n - 1)d
a = First term
d = Common difference
For the above question:
a = 2
d = Second term - First term
= 4 - 2
d = 2
3) Write the 50th term of the sequence.
Using the formula for arithmetic sequence
an = a+ (n - 1)d
a = 2
n = 50
d = 2
a50 = 2 + (50 - 1)2
= 2 + (49)2
= 2 + 98
= 100
The 50th term = 100
4)Find the total number of logs in the first 10 rows.
Sum of first n terms = n/2(a + l)
n = 10
a = first term = 2
We are told that there are 200 logs in the bottom row, hence:
l = last term = 200 logs
Hence,
Sn = 10/2×[ (2 + 200
= 5(202)
= 1010 logs
Garvin bought skis that cost $500 at the new store opening. The store gave him 60 days free credit. However, if he does not pay within 60 days they will charge him a 12 percent annual interest rate. How much interest will Garvin pay if he lets the account go for 90 days.
If Garvin lets the account go for 90 days, he will pay approximately $4.11 in interest.
If Garvin lets the account go for 90 days, he will exceed the 60-day free credit period by 30 days. This means he will be charged interest on the outstanding balance for those 30 days.
Since there is no information provided regarding any payments or partial payments made by Garvin within the 60-day period, we can assume that the full $500 is still outstanding.
Using the formula for simple interest:
Interest = Principal x Rate x Time
Principal = $500
Rate = 12% per year = 0.12
Time = 30 days / 365 days (since the rate is an annual rate)
Interest = $500 x 0.12 x (30/365) = $4.11 (rounded to two decimal places)
Therefore, if Garvin lets the account go for 90 days, he will pay approximately $4.11 in interest.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ4
does anyone know how to do addition method?
Answer:
it should be 10x+3y=30 if im not mistaken
Step-by-step explanation:
you just add straight down with corresponding variables
What is an equation of the line that passes through the point (5,-5) and is parallel to the line x+5y=20
Answer:
y = [tex]-\frac{1}{5}[/tex]x - 4
Step-by-step explanation:
Given parameters:
Coordinates = (5, -5)
Equation of the line, x + 5y = 20
Unknown:
Equation of the line parallel to this= ?
Solution:
To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.
The equation of any straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y- intercept
Now,
x + 5y = 20
Let us find the slope of this line;
5y = -x + 20
Divide through by 5;
y = [tex]-\frac{1}{5}[/tex]x + 4
The slope of the new line is the coefficient of x;
Slope = [tex]-\frac{1}{5}[/tex]
So, let us find the y-intercept of the new line;
-5 = [tex]-\frac{1}{5}[/tex] x 5 + c
-5 = -1 + c
c = -5 + 1 = -4
Now,
y = [tex]-\frac{1}{5}[/tex]x - 4
Answer: y = -(1/5)x - 4
Step-by-step explanation:
-3x + 4=6x-5 solve for x
Step-by-step explanation:
[tex] -3x + 4=6x-5\\\\6x+3x=4+5\\\\9x=9\\\\x=\sf{\dfrac{9}{9}}\\\\X=1[/tex]
What do I do on this question
Answer:
the ratio is 2:11
Step-by-step explanation:
I already wrote this in a comment, but I'm writing it here because the other person's answer was deleted.
when all the measurements of the ingredients are added together, that makes 11.
according to the recipe, there's 2 cups of mixed nuts.
so the ratio is 2 cups of mixed nuts to 11 cups of granola.
Find the values of x and y.
18.
120°=(2x + y)°
(2x - y)°=140°
Answer:
x = 65, y = - 10
Step-by-step explanation:
Given the 2 equations
2x + y = 120 → (1)
2x - y = 140 → (2)
Adding the 2 equations term by term will eliminate y, that is
4x = 260 ( divide both sides by 4 )
x = 65
Substitute x = 65 into either of the 2 equations and evaluate for y
Substituting into (1)
2(65) + y = 120
130 + y = 120 ( subtract 130 from both sides )
y = - 10
PLEASE HELP UNIT ENDS I WILL GIVE BRAINIEST
Answer:
1 = 6,0
2= 2,3
Step-by-step explanation:
Kylie volunteers at the library shelving books. Today, she is arranging a new children's book
section. The library has 683 children's books to place on 14 shelves. Any books left over can be
displayed in the readers' corner. How many books will Kylie place in the readers' corner? Show
your work!
Answer:
There will be 7 books Kylie will place in the readers' corner.
Step-by-step explanation:
683 divided by 14 is 48.7......
The remainder will be 7.
~~Hope this helps~~~ :)
Using a Graph to Understand a Linear Function
ty
160
120
Height of Tree (inches)
The graph shows the growth of a tree, with x
representing the number of years since it was planted,
and y representing the tree's height (in inches). Use
the graph to analyze the tree's growth. Select all that
apply.
The tree was 40 inches tall when planted.
The tree's growth rate is 10 inches per year.
The tree was 2 years old when planted.
As it ages, the tree's growth rate slows.
Ten years after planting, it is 140 inches tall.
80
(5, 90)
|(2,60)
X
6
8
Years since Planting Tree
Answer:
The tree was 40 in tall when planted
The tree's growth rate is 10in per year
Ten years after Planting, it is 140 inches tall
Step-by-step explanation:
original(slope intercept form) : y = 10x + 40
y = 10(10) + 40
y = 100 + 40
y = 40
Bob rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 75 cents for each mile driven. Bob had to pay $159.24
when he returned the truck. For how many miles did he drive the truck?
Answer:
1.87 miles
Step-by-step explanation:
[let's say x = how many miles]
18.99 + 75x = 159.24 [write out the equation]
-18.99 -18.99 [subtraction property of equality]
75x = 140.25
___ ____ [division property of equality]
75 75
x = 1.87
I hope this helps ! :)
3. The point below best represents which of the following? to 6 7 A. 738 B. V35 C. 145 D. 48
Answer:
686
Step-by-step explanation:
Tom can see cars and motorcycles from his window in a parking lot. The cars have 4 wheels and the motorcycles have 2 wheels if there are 52 wheels altogether in the parking lot and a total of 16 cars and motorcycles combined. How many cars and how many motorcycles are there?
Answer:
10 cars and 6 motorcycles
Step-by-step explanation:
im color blind can someone tell me what Orange looks like
Answer:
Explain to the person the most common ones: Red- usually the color of anger, sexual excitement, physical strength or aggression. Orange- physical comfort, having enough food, warmth, and security, sometimes frustration. Yellow- friendliness, cheerfulness, optimism, confidence, sometimes fear
50 points!!!!!!!
Write an equation to represent the sum modeled in the following number line.
Answer:1 and 1/3
Step-by-step explanation:
On June 6, you buy $1.2 pounds of bananas. The bananas cost $1.17 per pound. On June 7, you spent $3.47 on Takis, a candy bar, and a coke from Circle H convenience store. On June 8, you received $25 tip for helping your neighbor mow their lawn. On June 8, you spend $14.80 on a pair of wireless bluetooth headphones Date Transactions Payment(-) Deposit(+) Balance June 5 June 6 June 7 June 8 June 8
Answer:
We are not given the initial balance, so I will write down $X
Date Particulars Payment Deposit Balance
June 5 Starting balance $X
June 6 Purchased bananas $1.40 $X - $1.40
June 7 Purchased candy & coke $3.47 $X - $4.87
June 8 Tip received $25 $X + $20.13
June 8 Purchased headphones $14.80 $X + $5.33
Rena’s grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown.
A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent.
How much will Rena have in this account after 4 years?
Enter the correct answer in the box.
Answer:
Total amount (A) = $3,955
Step-by-step explanation:
Given:
Initial deposit (P) = $3,500
Rate of interest (r) = 3.25%
Number of years (t) = 4
Find:
Total amount (A)
Computation:
Simple interest = (p)(r)(t)
Simple interest = (3,500)(3.25)(4)
Simple Interest = $455
Total amount (A) = Initial deposit (P) + Simple Interest
Total amount (A) = 3,500 + 455
Total amount (A) = $3,955
Um... Help Please? O///O
How do I turn something like this: 3x - 2y = -16
Into a slope-intercept form?
(Whoever can explain gets Brainliest) (UwU)
[tex]3x - 2y = - 16[/tex]
Subtract sides -3x
[tex]3x - 3x - 2y = - 3x - 16[/tex]
Simplification
[tex] - 2y = - 3x - 16[/tex]
Negatives simplifies
[tex]2y = 3x + 16[/tex]
Divided sides by 2
[tex] \frac{2y}{2} = \frac{3x + 16}{2} \\ [/tex]
[tex] \frac{2}{2}y = \frac{3}{2}x + \frac{16}{2} \\ [/tex]
Simplification
[tex]y = \frac{3}{2}x + 8 \\ [/tex]
This is the slope-intercept form.
_________________________________
And we're done...
♥️♥️♥️♥️♥️