Answers
Answer:
x=40° and y=50°
Step-by-step explanation:
45°+50°+2x+5=180°
100°+2x=180<-- subtract 100 to get x on one side
2x=80
x=40. Thus 2(40)+5 = 85.
85°+55°+x°=180
140°+x=180
x=40°
40°+90°(right angle)=130°, so 180 -130 would equal 50.
y=50°
Related Questions
To mail a letter to Vienna, Austria the post office charges a flat rate of $8.00 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+8.00, where y is the cost of the postage and x is the weight of the letter in ounces.
Step 2 of 2 : Use the graph to estimate to the nearest quarter of a dollar ($0.25) the cost to send a letter that weighs 3 ounces.
Answers
Answer:
It will cost 38 quarters
Step-by-step explanation:
y = 0.50x + 8.00
y = 0.5(3) + 8.00
y = 1.5 + 8.00
y = $9.50
$9.50/.25
38 quarters
Hope this is the answer you are looking for.
if there is a 1 4 chance that it will rain for your fourth of july brbeque what is the probability it wont rain
Answers
Answer:
86% chance
Step-by-step explanation:
there is an 86% chance it won't rain because 100%-14%=86%
what i ls the value of
[tex]\pi[/tex]
Answers
Step-by-step explanation:
π can be taken as approximation of 22/7 ≈ 3.14
Janine is 25 and has a good job at a biotechnology company. Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year. (She expects that Social Security will pay her an additional $15,000 a year.) She currently has $5,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company’s 401(k) plan over the next 40 years in order to reach her retirement income goal? Use Exhibit 1-A.
Answers
We have that for the Question, it can be said that
The amount of money Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is
$ 766377.4
From the question we are told
Janine is 25 and has a good job at a biotechnology company.
Janine estimates that she will need $875,000 in her total retirement nest egg by the time she is 65 in order to have retirement income of $20,000 a year. (She expects that Social Security will pay her an additional $15,000 a year.) She currently has $5,000 in an IRA, an important part of her retirement nest egg. She believes her IRA will grow at an annual rate of 8 percent, and she plans to leave it untouched until she retires at age 65. How much money will Janine have to accumulate in her company’s 401(k) plan over the next 40 years in order to reach her retirement income goal? Use Exhibit 1-A.
IRA Sum = $ 5000 Growth ratio of IRA= 8%Growth period = 40 years
Generally the equation for the IRA Amount at Retirement is mathematically given as
IAR= 5000 * 1.08^(40)
= 108622.6
Since estimate is at
$875,000
Therefore
Accumulation in 401,000 = 875000 - 108622.6
Accumulation in 401,000 = 766377.4
Hence
The amount of money Janine will have to accumulate in her company’s 401(k) plan over the next 40 years is
$ 766377.4
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what is 2x-4y=12 x-3y=10
Answers
Answer:
(x,y) = (5/21, -50/21)
Step-by-step explanation:
Show your work and write an expression using the following criteria:
1. A dividend greater than 1,000
2. The quotient is 58 with a remainder of 22
Answers
Answer:
this is correct
Step-by-step explanation:
A dividend is a number we want to divide by another number. It's supposed to be greater than 1000.
Quotient - the integer result of division. Remainder - well, what remains.
9/4 = 2, with remainder 1.
You want to find a number greater than 1000, which, when divided by another number, results in 37, with a remainder of 4.
I would multiply 37 by an increasing number until we get a product greater than 1000. This number is the one you are dividing by. Now add 4 to the product, so that when the sum is divided by the number you found we'll get a remainder of 4.
Using subsitution, which value of x makes this equation true? 7x = 10
Answers
Divide both sides of the equation by 7
(An expression divided by itself is 1)
Then Write the division as a fraction
10/7
Please help please please help me help please
Answers
Answer:
y = 9/10x - 7/5
Step-by-step explanation:
Slope = 9/10
Point (6,4)
y-intercept = 4 - (9/10)(6) = 4 - 54/10
= - 7/5
The 95% confidence interval is from __ to __?
Answers
Answer:
The 95% confidence interval is from 0.5 to 0.027?
Step-by-step explanation: hope that helps :)
Answer:
The 95% confidence interval is from 00.19 to 0.6?
how many prime numbers are multiples of 8
Answers
There are no prime numbers are multiples of 8. All the multiples of 8 are divided by 2.
What is a prime number?Prime numbers are whole numbers larger than one with only one element the number itself. Prime numbers can only be divided by the number 1 or by themselves.
All the terms that come in the table of 8 are multiples of 8.
8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are the multiples of 8. There are no prime numbers are multiples of 8.
Hence there is no prime numbers multiples of 8.
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Y=1/2x-5
What is the slope?
Answers
Answer: 1/2
Step-by-step explanation:
Slope is the number in front of x
Answer:
The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept
Step-by-step explanation:
Hope I made sense to you.
Your cell phone bill in August was $61.43, which was $21.75 more than your bill in July. Your cell phone bill in July was $13.62 less than
in June. What was your cell phone bill in June?
Answers
Answer:
$53.30
Step-by-step explanation:
61.43-21.75=39.68 is the cell phone bill in July.
39.68+13.62= 53.30 is the phone bill in June.
Answer:
53.30
Step-by-step explanation:
August= 61.43
July= (61.43-21.75) or 39.68
June= (39.68+13.62) or 53.30
Hope this helps! :)
Mary burns 35 calories when she rides her bicycle to the park. After riding, she
burns 9.5 calories per minute while running.
Write a linear equation for the total amount of calories, C, that Mary will burn if
she cycles to the park and runs m minutes.
Answers
Answer/Step-by-step explanation:
C = 35 + 9.5m --> This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.
Answer:
C = 35 + 9.5m
Step-by-step explanation:
This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.
The ratio of flour to sugar in a recipe is 3 cups to 2 cups. If this amount makes 3 dozen
cookies, how many cups of sugar are required in order to make 24 cookies?
Answers
Answer:
10 cups
Step-by-step explanation:
The ratio of flour to sugar to make 3 dozen cookies is 3/2 then a total of 1.33 cups of sugar is required to make 24 cookies.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given data provided in the question,
3 dozen = 12 × 3 = 36 cookies.
2 cups of sugar are required to make 36 cookies
Let x cup of sugar is required to make 24 cookies.
36 cookies = 2 cups
24 cookies = x cups
Cross-multiply both the equations above
x = (24 × 2)/36
x = 1.33 cups.
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tiana car traveled 111 miles on 3/8 1/2 hot dogs in 3 3/4 minutes. how many dogs did he eat in one minute
Answers
111/( 3/8) = x/ 1
Cross Multiply
(3/8)x = 111
Multiply both sides by 8/3 ; reciprocal
x = (8/3) (111)
x = 296 miles
Describe how the point-slope formula is useful when writing the equation of a trend line
Answers
Step-by-step explanation:
if you observe the graph the y values increase as the x value increase.
so it has a possitive association.
if the value of y increase as the value of the x increase then data has positive association.
What is the density of the oak board? Show your work.
What is the density of the oak board? Show your work.
Answers
Answer:
it is 5.5 inches wide, 1.5 inches thick and 3 feet long
Answer: Im not really sure if this is correct but it's what I put so I hope it is. If it's incorrect please let me know.
Step-by-step explanation:
We first need to find its mass and volume.
Mass: 8.05
Volume: Turn 3 feet into inches: 36
36in × 1.5in × 5.5in =297
Density : 8.05lb ÷ 297 cubic inches = 0.027 cubic inches
emily ran 3 3/4 miles in 5 hours what unit rate for miles per hour did she run
Answers
Answer: The answer is 3
Step-by-step explanation:
:]
El primer término de una progresión geométrica es 3 y el séptimo 12 288. Hallar la suma de los siete términos.
Answers
Answer:
16383
Step-by-step explanation:
El primer término de la progresión geométrica es 3 y lo llamaremos [tex]a[/tex].
Se tiene que una progresión geométrica es de la forma:
[tex]a, ar, ar^2, ar^3, ar^4, \cdot \cdot \cdot[/tex]
Donde [tex]r \neq 0[/tex] y es la proporción es común. Por lo tanto si el séptimo número de la sucesión es 12.288 este se puede re-escribir como:
[tex]ar^6 = 12.288[/tex]
Si se resuelve la ecuación para hallar [tex]r[/tex] se tiene
[tex]r = \sqrt[6]{\frac{12.288}{a} } = \sqrt[6]{\frac{12.288}{3} } = \sqrt[6]{ 4096} = 4[/tex]
Ahora se halla cada número de la progresión geométrica entre 1 y 7 para finalmente sumarlos
[tex]ar^0+ar^1+ar^2+ar^3+ar^4+ar^5+ar^6[/tex]
[tex]3+12+48+192+768+3072+12288[/tex] = 16383
Por lo tanto la sumatoria de los primeros [tex]7[/tex] términos de la sucesión son 16383
find the gradient of a line perpendicular to y=-3/4+6
Answers
Answer:
4/3
Step-by-step explanation:
Assuming your line is intended to be ...
y = -3/4x +6
The slope is the coefficient of x: -3/4.
The slope of a line perpendicular to it is the opposite of the reciprocal of this, so is ...
-1/(-3/4) = 4/3
The gradient of the perpendicular line is 4/3.
What is the equation of the line shown in this graph?
Answers
Answer:
y = 1
Step-by-step explanation:
Is 34/18 greater or less than or equal to 1 5/6
Answers
Answer:
34/18 is greater than 1 5/6.
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
Answer:
greater than
Step-by-step explanation:
1=6/6 and 6+5=11, so 1 5/6= 11/6
Next, you want to find a common denominator, in this case 18
11/6=x/18
x=33
11/6=33/18
34/18 > 33/18
There are two mystery numbers. The sum of 7 times the first number and 8 times the second number is 22. The sum of 5 times the first number and 8 times the second number is 18. What are the two numbers?
Answers
Based on the information given, the value of the two numbers will be 2 and 1 respectively.
Let the first number be aLet the second number be bThe equation to solve the question will be:
7a + 8b = 22 .... i
5a + 8b = 18 ..... ii
Subtract equation ii from I
2a= 4
a = 4/2
a = 2
Therefore, 7a + 8b = 22
7(2) + 8b = 22
14 + 8b = 22
8b = 22 - 14.
8b = 8
b = 8/8 = 1
Therefore, the numbers are 2 and 1.
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What is the solution to (4 x 103) x (6 x 106), written in scientific notation?
Answers
Answer:
Step-by-step explanation:
Find the exact values of cos 2x and tan 2x if sin x =4/5 and x is a quadrant II angle.
Answers
Answer:
Step-by-step explanation: 3-4-5 triangle
If sinx = 4/5, then cosx = -3/5 and tanx = 4/-3 x is approximately 126.87°
cos2x = cos²x - sin²x = (-3/5)² - (4/5)² = 9/25 - 16/25 = - 7/25
tan2x = 2tanx / (1 - tan²x) = 2(4/-3) / (1 - (4/-3)²) = (8/-3) / (1 - 16/9) = (-8/3) / (-7/9)
tan2x = (-8/3) • (-9/7) = 72/21 = 24/7
An elliptically shaped garden is surrounded by a wood walkway. The garden is 15 meters long and 8 meters wide. The walkway is 2.5 meters wide. Find the standard equation describing the ellipse formed by the walkway.
Answers
Answer:
x^2/b^2 + y^2/a^a = 1
Step-by-step explanation:
I believe that is the answer, also theanswerme answered this question. :)
Does this graph represent a function? Why or why not?
Ay
10
8
8+
2+
1
-10-8-64
2
+ c
240
-
ON
10
4
-8-
-8-
-10
O A. No, because it fails the vertical line test.
O B. Yes, because it passes the vertical line test.
O C. No, because it is not a straight line.
O D. Yes, because it passes the horizontal line test.
Answers
The answer would e number B.
Find the sum of 8080,8928 and 7005
Answers
Answer:
80,815,933
Step-by-step explanation:
164 people need to ride the elevator to the top of a skyscraper. The elevator can hold 7 people at a time. How many people will be in the elevator on the last trip to the top?
Answers
Answer:
3
Step-by-step explanation:
we know that 23x7=161
so there will be 3 people on the last trip to the top
HELPPP PLS
A store sells a 1 1/4
pound package of turkey for9$ .
What is the unit price of the turkey in the package?
A
$11.25\$ 11.25$11.25 per pound
B
$10.25\$ 10.25$10.25 per pound
C
$7.75\$ 7.75$7.75 per pound
D
$7.20\$ 7.20$7.20 per pound
Answers
Answer:
D. $7.20
Step-by-step explanation:
9/1.25 = $7.20