Answers
Answer:
b=22°
Step-by-step explanation:
because b+42=b+b-20
b+42=2b-20
b-2b=-20-42
-b=-22
b=22°
Related Questions
(1 point) Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7. 257 (b) are divisible by 5 but not by 7. (c) are divisible by 5. (d) are divisible by 7.
Answers
Using arithmetic sequences, it is found that there are:
a) 257 numbers that are are divisible by 5 and by 7.
b) 1543 numbers that are divisible by 5 but not by 7.
c) 1800 numbers that are divisible by 5.
d) 1286 numbers that are divisible by 7.
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.
Item a:
Numbers that are divisible by 5 and 7 are multiples of 35, as the least common multiple of 5 and 7 are 35, thus we have an arithmetic sequence with [tex]d = 35[/tex].The first multiple of 35 in this interval is 1015, so [tex]a_1 = 1015[/tex].The last multiple of 35 in this interval is 9975, so [tex]a_n = 9975[/tex].We apply the general formula and solve for n, thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9975 = 1015 + 35(n-1)[/tex]
[tex]35n - 35 = 8960[/tex]
[tex]35n = 8995[/tex]
[tex]n = \frac{8995}{35}[/tex]
[tex]n = 257[/tex]
There are 257 numbers that are are divisible by 5 and by 7.
Item b:
First, we find the number of multiples of 5, with [tex]a_1 = 1000, a_n = 9995, d = 5[/tex]. Thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9995 = 1000 + 5(n-1)[/tex]
[tex]5n - 5 = 8995[/tex]
[tex]5n = 9000[/tex]
[tex]n = \frac{9000}{5}[/tex]
[tex]n = 1800[/tex]
Of those numbers, 257 are multiples of 35, which means that they also are multiplies of 7, thus they are removed.
1800 - 257 = 1543.
There are 1543 numbers that are divisible by 5 but not by 7.
Item c:
From the previous item, there are 1800 numbers that are divisible by 5.
Item d:
We find the number of multiples of 7, with [tex]a_1 = 1001, a_n = 9996, d = 7[/tex]. Thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9996 = 1001 + 7(n-1)[/tex]
[tex]7n - 7 = 8995[/tex]
[tex]7n = 9002[/tex]
[tex]n = \frac{9002}{7}[/tex]
[tex]n = 1286[/tex]
There are 1286 numbers that are divisible by 7.
A similar problem is given at https://brainly.com/question/23901992
what is square root of 50
Answers
Answer:
7.071067811865475
Step-by-step explanation:
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4950 million for the purchase of new aircraft to seat a total of 5850 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?
Answers
The number of order of each aircraft is an illustration of simultaneous equations.
You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
To do this, we make use of the following representations:
A represents Airbus A330-300sB represents Boeing 767-300ERsC represents Boeing Dreamliner 787-9sFrom the question, we have the following equations
[tex]\mathbf{330A + 270B + 240C = 5850}[/tex] ----the number of passengers
[tex]\mathbf{B + C = 2A}[/tex] --- the relationship between the number of planes
[tex]\mathbf{250A + 200B + 240C =4950 }[/tex] --- the budget
Make A the subject in [tex]\mathbf{B + C = 2A}[/tex]
[tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{330A + 270B + 240C = 5850}[/tex]
[tex]\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}[/tex]
[tex]\mathbf{165B + 165C + 270B + 240C = 5850}[/tex]
[tex]\mathbf{435B + 405C = 5850}[/tex]
Divide through by 15
[tex]\mathbf{29B + 27C = 390}[/tex]
Make C the subject
[tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{250A + 200B + 240C =4950 }[/tex]
[tex]\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }[/tex]
[tex]\mathbf{125B + 125C + 200B + 240C =4950 }[/tex]
[tex]\mathbf{325B + 365C =4950 }[/tex]
Divide through by 5
[tex]\mathbf{65B + 73C =990}[/tex]
Substitute [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}[/tex]
Multiply through by 27
[tex]\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}[/tex]
[tex]\mathbf{1755B+ 28470 - 2117B =26730}[/tex]
Collect like terms
[tex]\mathbf{1755B- 2117B =26730 - 28470}[/tex]
[tex]\mathbf{-362B =-1740}[/tex]
Solve for B
[tex]\mathbf{B =\frac{1740}{362}}[/tex]
[tex]\mathbf{B =5}[/tex] --- approximated
Substitute [tex]\mathbf{B =5}[/tex] in [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{C = \frac{390 - 29 \times 5}{27}}}[/tex]
[tex]\mathbf{C = \frac{245}{27}}}[/tex]
[tex]\mathbf{C = 9}[/tex] --- approximated
Recall that: [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
So, we have:
[tex]\mathbf{A = \frac{1}{2} \times (5 + 9)}[/tex]
[tex]\mathbf{A = \frac{1}{2} \times 14}[/tex]
[tex]\mathbf{A = 7}[/tex]
Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
Read more about simultaneous equations at:
https://brainly.com/question/16763389
If 400 kids went to the amusement park and only 120 came back how many got lost?
Answers
Answer:
280
Step-by-step explanation:
400 - 120=280
280= number of children lost
X = 6(2+3[2{7-3)+(4+1)-3]}
Answers
Mikel creates the table below to help her determine 40% of 70.
40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14
She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.
Answers
Answer:
D i did the test
Step-by-step explanation:
Answer:
D: she need change 0.2 to 2
Step-by-step explanation:
70 divide 20% = 14
40% divide 20% = 2
Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they
meet in 5 hours, what is the rate of the slower car?
Do not do any rounding.
Answers
Answer:
57 kph
Step-by-step explanation:
5x + 5(x-12) = 750
10x = 690
x = 69
Slooow car = 57 kph
Mary has 3 more apples than Ted and 3 times as many apples as Alex. How many apples do all three of them have combined if Mary has 24 apples
Answers
Answer:
52
Step-by-step explanation:
24-3=21 21÷3=7 24 + 21 + 7 = 52
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?
Answers
A model of a population of a small country is 35,000(1.03)^x. Find the current population if x equals four years since the last census.
Answers
Based on the model of the population and the amount of years that have passed, the current population is 39,393 people.
The model of the population is:
= 35,000 x (1.03)^ x
If x is 4 years, slot this into the model to get:
= 35,000 x 1.03⁴
= 35,000 x 1.12550881
= 39,393 people
In conclusion, the current population is 39,393 people.
Find out more at https://brainly.com/question/1232096.
PLS HELP ME WILL GIVE BRAINLIEST NO LINKS PLZ!!!
Answers
Answer:
130
Step-by-step explanation:
sorry if wrong
have a great day
CAN SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT, I’D BE SO THANKFUL
Answers
SPANISH
help i need an answer to these question (and please one that isn't a scam)
Answers
Answer:
for the first one its the middle answer
Step-by-step explanation:
i speak almost fluent spanish but i am not amazing at math
100min to 2h as a ratio
Answers
Answer:
100:2
Step-by-step explanation:
What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a
meter?
Answers
Answer:
3.553774
Step-by-step explanation:
[tex] \frac{2}{3} \pi {r}^{3} = 94[/tex]
h
works out to 3.553774
The radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
What is a hemisphere? What is a mathematical function, equation and expression? hemisphere : a hemisphere is half of a sphere.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is hemisphere with a volume of 94 m³.
The volume of sphere is : V{S} = (4/3)πr³.So, the volume of hemisphere will be : V{S}/2 = V{H} = (2/3)πr³.So, we can write as :(2/3)πr³ = 94
πr³ = (94 x 3/2)
πr³ = 47 x 3
πr³ = 141
r³ = (141/π)
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
Therefore, the radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
To solve more questions on hemispheres, visit the link below -
https://brainly.com/question/29275358
#SPJ5
if x =6 + y and 4x = 3 -2y, then x=
Answers
Answer:
x = 5/2 or 2.5
Step-by-step explanation:
I solved this using simultaneous equations or system of equations
You times (1) by 2 so that the y's are the same
You add (3) and (2) instead of subtracting them because the sign in front of thr 2y's are different; adding them will eliminate them
In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46
Answers
Answer:
-96 cents
Step-by-step explanation:
(Conjectured Problem) In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46. That is your expected win?
Expected Win =
(Probability you match the drawn sequence)(Amount won if there is a match) - (Amount you pay) =
(1/10)(1/10)(1/10)(394.46) - 1.35 =
0.39446 - 1.35 =
-0.95554 =
-96 cents, rounded to the nearest cent
Need help with a math question
Answers
First: Find out their decimal form.
- 2 1/6 as a decimal is 2.16
7/3 as a decimal
To get 7/3 converted to decimal, you simply divide 7 by 3. Don't worry. You don't need to get the calculator out, because we did this for you.
7/3 as a decimal is:
2.333333333
What is the domain of y=log 4(x+3)?
Answers
Answer:
Y= log 4(x+3)
then you should do (x+3)= 3x= log 4.
Step-by-step explanation: Sorry I'm not 100 % sure so yeah
But let's see 3x = log 4
oh so then you need to divide 3 at both sides so then what's 4/3= 1.3333333333.
So now I think it's C). All real numbers are les than 3.
Need help with math problem
Answers
Answer:
1/7
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Answer:
I Don't know if this is correct!
Step-by-step explanation:
1/7 of boys are not bringing their lunch as you can see.
I think it is 2/7
What is an equation of the line that passes through the point (-2,7)(−2,7) and is perpendicular to the line x-4y=24x−4y=24?
Answers
9514 1404 393
Answer:
4x +y = -1
Step-by-step explanation:
The equation of the perpendicular line can be written by ...
swapping the x- and y-coefficients, negating one of themchoosing a new constant so the line goes through the given point.The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.
4x +y = 4(-2) +7 = -1
The desired perpendicular line has an equation ...
4x +y = -1
If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?
Answers
Answer:
A = 16000(1+0.14)^12 = 77086.4777
Answer:
12 22 23 24 25 26 2u 28 ug6fyd
Which angles are corresponding angles?
Answers
Answer:
OPN and QPS are corresponding angles
Corresponding angles are two angles that are on the same side of the transversal, one an interior angle (between the lines), the other an exterior angle that were not adjacent.
< OPN is the exterior angle, and < RSP is the interior angle.
Maths Question - Topic Pythagoras
Please answer the question. Awarding 20 points
Answers
So for this you use a formula which is
a2 + b2 = c2
You name the highest one c, the rest are you choice
so now it will be - x2 + 7 2 = 14 2
you now square them,
now they will be x2 + 49 = 196
now it will be easy to solve it.
PLS PLS PLS I NEED HELP FAAAAAAAASSSSST GIVING BRAINLIEST TO QUICKEST CORRECT
Answers
Answer:
c hope this helps
Step-by-step explanation:
Answer:
The correct answer should be C.
Solve for X in the questions
Answers
Step-by-step explanation:
x = 360°- (90°+36°+36°)
= 360 - (162°)
= 198°
___________
[tex] \: [/tex]
Step by step :PQR = 360°
QR = 90°
PQ = 36°
RX = 36°
Soo :
x = 360° - (90° + 36° × 2)
x = 360° - (90° + 72°)
x = 360° - (162)
x = 198°✔
At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that individuals predisposed to allergies are chosen at random and given allergy vaccinations.
a. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
b. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
Answers
When you divide two fractions is the quotient always smaller than the dividend?
Answers
A fraction can really look like anything. So the quotient can be sometimes larger than the dividend.
Sorry I ain’t know why it look like that buh can someone help asap
Answers
Answer:
[tex]for \: \: dmain \: of \: {f}^{ - } \: \: is \: equal \: f \: range \\ y = \sqrt{x } - 5 \\y \: range \: is \: y \geqslant - 5\\ y + 5 = \sqrt{x} \\ x = {(y + 5)}^{2} \\ {f}^{ - 1} = {(x + 5)}^{2} \\ \\ dmain \: of \: \: {f}^{ - 1} \: x \geqslant - 5[/tex]
how do you solve -5=4x-8
Answers
Answer:
3.25=x
Step-by-step explanation:
start with -5=4x+8
subtract 8 from each side to get:
-13=4x
divide each side by 4 to get your answer:
-3.25=x-
Answer:
[tex]x = - 3.25[/tex]
Step-by-step explanation:
-5 = 4x + 8
-5 - 8 = 4x + 8 - 8
-5 + (-8) = 4x
-13/4 = 4x/4
Therefore, x = -3.25
-5 + (-8) = 4x
Same Change Change (SCC) rule for integers was applied here.