Find the values of x and y.
(10x – 4)º
16yº
(18y – 18)°
6(x + 2)°
Answer:
The value of x is 4 and the value of y is 9
Step-by-step explanation:
In the attached pictures we can see that two lines are intersecting with each other and four angles are form. The angles opposite to each other are also called vertical angles.
The opposite pairs of angles are:
(10x-4)° and 6(x+2)°
(18y-18)° and 16y°
When two lines intersect each other, the vertical angles formed are congruent(Can also be called equal in measurement)
So,
[tex]10x-4=6(x+2)\\10x-4 = 6x+12[/tex]
Subtracting 6x from both sides
[tex]10x-4-6x = 6x+12-6x\\4x-4 = 12[/tex]
Adding 4 on both sides
[tex]4x-4+4 = 12+4\\4x = 16[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4} = \frac{16}{4}\\x = 4[/tex]
AND
[tex]18y-18=16y[/tex]
Adding 18 on both sides
[tex]18y-18+18 = 16y+18\\18y = 16y+18[/tex]
Subtracting 16y from both sides
[tex]18y-16y = 16y+18-16y\\2y = 18[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2} = \frac{18}{2}\\y = 9[/tex]
Hence,
The value of x is 4 and the value of y is 9
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows: Money-market 25% High-risk stock 10% Moderate-risk stock 15% Short bond 12% Intermediate bond 7% Long bond 8% Balanced 23% A customer who owns shares in just one fund is randomly selected. a) What is the probability that the selected individual owns shares in the balanced fund? For your answer, please report the answer in decimals. For example, 50% would be submitted as .5.
Part b and c are missing and they are;
b. What is the probability that the individual owns shares in a bond fund? c. What is the probability that the selected individual does not own shares in a stock fund?
Answer:
A) P(balanced fund) = 0.23
B) P(bond fund) = 0.27
C) P(no stock fund) = 0.75
Step-by-step explanation:
We are given the percentages of customers in the different funds as follows:
Money-market: 25%
High-risk stock: 10%
Moderate-risk stock: 15%
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Balanced: 23%
A) From the percentages given, we can see that the balanced fund is 23%.
Thus,this represents the probability as addition of all the given percentages gives 100%
Thus, probability that the selected individual owns shares in the balanced fund is;
P(balanced fund) = 23% = 0.23
B) From the percentages given, bond funds given are;
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Thus,
probability that the individual owns shares in a bond fund is;
P(bond fund) = 12% + 7% + 8%
P(bond fund) = 27% = 0.27
C) Probability that the selected individual doesn't own shares in a stock fund is;
P(no stock fund) = 1 - P(stuck fund)
P(stuck fund) = High-risk stock +
Moderate-risk stock = 10% + 15% = 25% = 0.25
Thus;
P(no stock fund) = 1 - 0.25 = 0.75
6. At a football game, the home team gave a football to each of the first 1,000 fans who arrived at the stadium. Each football cost $31. What expression can you write that shows the total cost of the footballs?
Answer:
1,000*31 = 31,000
Step-by-step explanation:
since the first 1000 fans get a ball and each ball costs $31 then u multiply
Solve the equation.
1. For parentheses:
7h-5(3h-8) = -72
Distribute
2. If necessary:
Combine Terms
3. Apply properties:
Add Subtract
Multiply
Divide
4.To start over:
Reset
Answer:
h= 14
Step-by-step explanation:
7h-5(3h-8)= -72 PEDMAS Parenthesis first
7h-15h+40= -72 combine like terms
-8h+40= -72 subtract 40 from both sides
-8h=-112 divide by -8
h=14
The required simplified solution of the given expression is h = 4.
Given that,
A number of instruction has been added in the question, guiding the solution of the given expression.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
7h-5(3h-8) = -72
Simplify,
7h -5×3h - 5× -8 = -72
7h -15h + 40 = -72
8h = -72 + 40
-8h = -32
h = 4
Thus, the required simplified solution of the given expression is h = 4.
Learn more about simplification here: https://brainly.com/question/12501526
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Timmy and Sam ran in a marathon. Timmy ran at a constant speed of 5 miles per hour. Sam ran at a
constant speed of 4 miles per hour and had a head start of 2 miles. Determine where Timmy and Sam will
meet.
HELPP
Given:
Speed of Timmy = 5 miles per hour
Speed of sam = 4 miles per hour and head start of 2 miles
To find:
Where Timmy and Sam will meet.
Solution:
Let x be the number hours they ran in marathon and y be the total distance covered.
Speed of Timmy is 5 miles per hour. So, total distance covered by Timmy in x hours is
[tex]y=5x[/tex] ...(i)
Speed of sam is 4 miles per hour and head start of 2 miles. So, total distance covered by sam in x hours is
[tex]y=4x+2[/tex] ...(ii)
Now, equate (i) and (ii).
[tex]5x=4x+2[/tex]
[tex]5x-4x=2[/tex]
[tex]x=2[/tex]
The value of x is 2. It means they will meet after 2 hours.
Put x=2 in (i).
[tex]y=5(2)[/tex]
[tex]y=10[/tex]
It means, they will meet at 10 miles.
how do I do this?
I don't understand geometry and it's really confusing can one of you help me?
Answer:
lol im stuck too
Step-by-step explanation:
Mr. Thompson plans to invest $7,500 in a savings account that earns 2.75% simple annual interest. If he makes no other deposits or withdrawals, how much money will Mr. Thompson's account be worth after 10 years.
Answer:
Mr. Thompson's account be worth $9,562.50 after 10 years
Step-by-step explanation:
Simple Interest
Interest is calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Mr. Thompson plans to invest P=7,500 in a savings account that earns r=2.75% = 0.0275.
The interest earned in t=10 years is calculated now:
I=7,500*0.0275*10
I=2,062.50
Now we add the interest to the principal:
A = $7,500 + $2,062.50
A = $9,562.50
Mr. Thompson's account be worth $9,562.50 after 10 years
Please give a step by step explanation with the reasons. Thank you.
Answer:
Because angle 5 and angle 6 equal each other, it would mean that 4 and 7 equal each other. The sum of angles 4 and 5 is 180 because they are on the same line, intersected by another line. This means that they are supplementary angles. Since angles 5 and 6 equal each other, the other part of the the supplementary angle on both sides must equal each other. For example, if angles 5 and 6 equaled 60 degrees, the counterparts on the supplementary angle on both sides would have to be 120 to get to final sum of 180. This shows how angle 4 and 7 have to equal each other if 5 and 6 also equal other. Hope this helped! If its still confusing leave a comment and ill explain it in a different way. Good luck!
Suponga que le piden averiguar cuán alto es un poste de luz, su mejor
momento es durante la tarde en un día soleado, si la única herramienta
que tiene es una cinta métrica de 5m ¿cómo haría para saber con la
mayor exactitud posible el tamaño del poste?
Answer:
gtdnuf fjgdyj gudchu hfvhd gjsjck
grixbedfb hvdb kgtd kggyan samera hhgv bcc
Solve for a
C = ab/
a + b
A = cb / c + b PLESAE GIB BARNILEST
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answer:
15
Step-by-step explanation:
its the same as the other angle on there
Answer:
15
Step-by-step explanation:
They are alternate exterior angles, meaning they are the same!!
Misha’s hamster weighed 0.845 kilograms. About how much does it weigh, rounded to the nearest hundredth?
0.85 kilograms
0.8 kilograms
1 kilograms
0.84 kilograms
Answer: 0.85 kilograms
Step-by-step explanation:
Don't go by my answers pls
Answer:
19) ( [tex]\frac{-2}{5}[/tex])^2 = [tex]\frac{4}{25}[/tex]
20) -[tex]9^{2}[/tex] = -81
21) [tex]2^{4}[/tex] = 16
Step-by-step explanation:
The only wrong ones are
19) ( [tex]\frac{-2}{5}[/tex])^2 = [tex]\frac{4}{25}[/tex]
20) -[tex]9^{2}[/tex] = -81 ... negative is not inside a parenthesis that's why it is still negative
21) you can add another way is [tex]2^{4}[/tex] = 16
Everything else looks good. Great job!
PLEASEEEEE HELP ASAPPPPP
Answer:
Number 2, or {(0,1),(1,-3),(2,-5),(3,-7)(4,-9)}
Explanation:
Every x-value matches to exactly one y-value, which is the definition of a function.
I’m so confused. I need help :C
Answer:
Apple A
Step-by-step explanation:
Apple A 6.90/6 = 1.15 lb
Apple B 12oz/ (16oz or 1lb) =3/4 .90/(3/4) =1.2lb
Apple C 0.45/(1/4)= 1.8lb
A cook has 11.64 pints of olive oil before the dinner service. There were 5.2 pints of olive oil used during the dinner service. What amount of olive oil is left after the dinner service, with the correct number of significant digits?
A. 6.44 pints
B. 16.84 pints
C. 6.4 pints
D. 17 pints
Answer:
c
Step-by-step explanation:
please help for brainlyist and 5 star
Answer:
a
Step-by-step explanation:
Vecayse Sjuare tmes
rewrite the equation in slope intercept form : y - 3 = 4(x+2)
Answer: y=4x+11
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
?= __∘
Answer:
x = 30°
Step-by-step explanation:
Use the sine rule:
I need help please
The inside of an ice cream scoop...
Answer:
D
Step-by-step explanation:
I cannot assure you this, because it is extremely hard for me too. It is my best guess.
Plz mark as brainliest!!!
Emily is preparing cookies for her friends she is at the market where she sees a 14 ounce bag of chocolate chips for 3.50 the market also sells a 24 ounce bag for 5.28 which size bag is better to buy
Answer:
Bag 2
Step-by-step explanation:
Given
Bag 1:
[tex]14\ ounce = 3.50[/tex]
Bag 2:
[tex]24\ ounce = 5.28[/tex]
Required
Which is a better buy
To get which buy is better, we first get the unit price of each bag.
[tex]Unit\ Price = Amount/Size[/tex]
For bag 1:
[tex]Unit\ Price = 3.50/14[/tex]
[tex]Unit\ Price = 0.25[/tex]
For bag 2:
[tex]Unit\ Price = 5.28/24[/tex]
[tex]Unit\ Price = 0.22[/tex]
The best buy is the one with smaller unit price
Hence, bag 2 is better to buy
What is the product of a fraction multiplied by its multiplicative inverse? Justify your answer with an example
What is the solution to the equation?
Answer:
-63
Step-by-step explanation:
if i = √-1, then i^2 = ?
The imaginary unit i is exactly defined as a number that gives -1 when squared.
So, by its very definition, you have the attachment I have attached as an answer.
4. Find the slope of the line through the
points A(8, 7) and B(5,-2).
Explanation
Answer:
Your slope would be 3.
Step-by-step explanation:
To find the slope from two points, you would need to use the formula: y2-y1/x2-x1
In this case, the equation would look like -2-7/5-8.
-2 - 7 = -9
5 - 8 = -3
-9/-3 = 3
Slope: 3
Hmmmmmmmmmm helllo world my brain is broken and I need help :)
Answer:
fell that it would be C I'm pretty sure
Answer:
d
Step-by-step explanation:
Evaluate: 5m when m=8
FAST AND HURRY!!
Answer:
40
Step-by-step explanation:
If m = 8, then you would multiply 5 by 8
So the answer is 40
Hope this helps :)
Answer:
5m when m = 8 is 40
Step-by-step explanation:
When you substitute (replace) m with 8, it becomes 5(8).
5(8) means 5 multiplied by 8, which gives you 40.
To check, dividing 40 by 5 is 8. Dividing 40 by 8 is 5.
Hope this helped! :)
Tyler gathered data from 12 recent basketball games about the number of points he scored, the number of points his teammate Nolan scored, and the total number of points his team scored. He displayed the data in two scatter plots.
Does either scatter plot indicate a positive correlation between the variables?
Answer:
Only plot B
Step-by-step explanation:
Answer:
Only Plot B
Step-by-step explanation:
The points in plot A are randomly scattered, and there is no recognizable pattern. So, this plot indicates no correlation between the points Tyler scored and the points Nolan scored.
In plot B, the total points Tyler’s team scored appear to increase as the points Tyler scored increase. This pattern indicates a positive correlation between the two variables.
So, only plot B indicates a positive correlation.
find
Given
\qquad m \angle AOCm∠AOCm, angle, A, O, C is a straight angle.
\qquad m \angle BOC = 6x + 29^\circm∠BOC=6x+29
m, angle, B, O, C, equals, 6, x, plus, 29, degrees
\qquad m \angle AOB = 3x + 124^\circm∠AOB=3x+124
m, angle, A, O, B, equals, 3, x, plus, 124, degrees
Find m\angle BOCm∠BOCm,
angle, B, O, C:
Answer: 47 degrees
Step-by-step explanation:
The measure of an angle BOC from the given figure is 47°.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given that, m∠AOC is a straight angle, m∠BOC=6x+29° and m∠AOB=3x+124°.
We know that, a straight angle measures 180°.
Now, m∠BOC+m∠AOB=m∠AOC
6x+29°+3x+124°=180°
9x+153°=180°
9x=27°
x=3°
So, m∠BOC=6x+29°
=6×3+29°
= 47°
Therefore, the measure of angle BOC is 47°.
To learn more about an angle visit:
https://brainly.com/question/28451077.
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