ATQ
[tex]\\ \sf\longmapsto R+B+G=10[/tex]
[tex]\\ \sf\longmapsto 6+2+2=10[/tex]
Divide all by 2[tex]\\ \sf\longmapsto 4+1+1=5[/tex]
Now
R'=4B'=1G'=1Two of same colour so we need P(R')
[tex]\\ \sf\longmapsto P(R')=\dfrac{|R|}{|S|}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4}{10}[/tex]
[tex]\\ \sf\longmapsto 0.4[/tex]
For a project in his Geometry class, Ryan uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 12.15 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. He then walks 3.4 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.35 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
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Answer:
4.82 m
Step-by-step explanation:
The mirror reflects light at the same angle the light hits it, so the triangles formed by the line of sight, the ground, and the objects involved are similar. This means corresponding lengths are proportional.
height/mirror distance = T/12.15 = 1.35/3.4
Multiplying by 12.15, we find the top of the goalpost to have a height of ...
T = 12.15(1.35/3.4) ≈ 4.82 . . . meters
The goalpost is about 4.82 meters high.
At a real estate agency, an agent sold a house for $369,000. The commission rate is 4.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?
$29,700 on the hours, and $79,200 in commission.
I hope i helped! :)
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3. There were 155 people at the basketball game. Tickets for the
game are $2.50 for students and $4 for adults. If the total money
received for admission was $492.50, how many students and adults
attended the game?
Answer:
85 students and 70 adults attended the game.
How many students and adults attended the game?
Step-by-step explanation:
Problema Solution
There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?
Answer provided by our tutors
let
s = the number of student tickets sold
a = the number of adult tickets sold
there were 155 people at the basketball game
s + a = 155
the total money received for admission was $492.50
2.50s + 4a = 492.50
by solving the system of equations
s + a = 155
2.50s + 4a = 492.50
we find
s = 85 students
a = 70 adults
Jack bought a 1/4 pound of salami and 1 2/3 pounds of Ham at the deli. Both items are on sale for $12 per pound. What is the total cost?
Answer:
Salami: $3.00
Ham: $ 8.00
Step-by-step explanation:
12 * 1/4 = 12/4 = $3.00
12 * 2/3 = 24/3 = $8.00
Hello can someone please help me with this
Answer:
I would assume it is c. 1, because of rounding, but I'm only 70% sure.
Angles 1 and 2 are coresponding angles angle 1 is 3x+15 angle 2 is 4x-5 degrees.
what is the value of x
Answer:
10
Step-by-step explanation:
3x+15+4x-5=180
7x+10=180
7x=170
x=10
How do I show my work for solving the radius of a circle if the area is 78.5 cm^2
(I already know the answer is 5 cm)
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Answer:
radius = 5 cm
Step-by-step explanation:
The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.
__
If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:
A = πr²
78.5 = 3.14×r²
Dividing both sides by 3.14 gives the square of the radius:
78.4/3.14 = r² = 25
Taking the positive square root gives the radius:
r = √25 = 5
The area is in square centimeters, so the radius is in centimeters:
radius = 5 cm
June, Gavyn and Alex share some sweets in the ratio 5:3:2. June gets 42 more sweets than Alex. How many sweets does Gavyn get?
Answer:
42 sweets
Step-by-step explanation:
The ratios are 5 : 3 : 2 = 5x : 3x : 2x (x is a multiplier )
June gets 42 more sweets than Alex , then
5x = 2x + 42 ( subtract 2x from both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Gavyn = 3x = 3 × 14 = 42 sweets
Answer:
42 sweets.
Step-by-step explanation:
First work out the number of parts:
5 + 3 + 2 = 10.
So June gets 5/10 = 1/2 of the sweets.
Alex gets 2/10 = 1/5.
Gavyn gets 3/10.
If the total number of sweets was x, then:
1/2 x - 1/5 x = 42
5/10x - 2/10 x = 42
3/10 x = 42
x = 42*10/3 = 140.
So Gavyn has 3/10 * 140 = 42.
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e: Stella Hamilton
Ratio Practice 11/8
Name:
Solve Each Problem
1) At summer camp the ratio of boys to girls was 8: 5. If there were 32 boys, how many girls were
there?
21. Determine if the values in the table are
Answer:
20 girls.
Step-by-step explanation:
If 32 divided by 8 is 4, then 4x8= 32.
We use this equation to find out how many girls there are. 5x4 equals 20, so there are 20 girls at summer camp.
Third question please need help
Answer:
add 6 time 8 and get the answer like that.
Step-by-step explanation:
just keep adding that what you need to do ok.
Question 5 - Last night 20 mm of rain fell in 4 h. If it continues raining at the same rate, how
long will it take for 45 cm of rain to fall?
Answer:
Step-by-step explanation:
45 divided by two
Michael paid an entrance fee of $8 plus an additional $2.25 per game at the bowling alley. He spent $50.00. Write and solve an equation to determine how many games Michael played.
Answer:
4
Step-by-step explanation:
$8.00+$2.25 = $10.25
$50.00÷$10.25= 4.
I need to know that answer please help if you can
Answer:
$180
Step-by-step explanation:
y = 30x +150
30(1) + 150
= 180
Please help me with this question. What formula would you use to find the missing lengths of the right triangles?
a2 + b2 = c2 can be use to find missing lengths of the right triangles
Craig has a job waiting tables where he earns $3.45 per hour plus tips. Craig earned $73.68 in tips during his shift yesterday.
If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?
A. y = 3.45x - 73.68
B. y = 73.68x + 3.45
C. y = 3.45x + 73.68
D. y = 73.68x - 3.45
The lcm of 5^3 and 5^2 is?
Answer:
5³
Step-by-step explanation:
5³ is the answer since it's the greater between the two numbers
Answer:
125
Step-by-step explanation:
This is because 5^2 *5 is 125 and 5^3 * 1 = 125 and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2 = 5 and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number - The other workings would be to do a prim e factor tree of 125 = 5 25 5 and 5 = 5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125
Membership at the YMCA costs $15 per month plus $80 to sign-up. Blink costs $29 per month but is free
to sign-up. After how many months will the two gyms cost the same amount?
Let months be x
[tex]\\ \sf\longmapsto 80+15x=29x[/tex]
[tex]\\ \sf\longmapsto 29x-15x=80[/tex]
[tex]\\ \sf\longmapsto 14x=80[/tex]
[tex]\\ \sf\longmapsto x\approx 6months[/tex]
Answer:
43 months in ymca including the $80 sign up fee is equal to 25 months in blink
Step-by-step explanation:
$725 divided by $29 =25 months
$ 725 - $80 sign up = $645 .
Now we divide this by $15.
$645 divided by 15= 43 months
Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5
5 is the answer ok I'll explain
The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for auto expenses?
Answer: The amount budgeted for Auto Expenses is $18,200
Step-by-step explanation:
13 Percent of $140,000 is $18,200
0.13 times 140,000 :-)
Please answer right!
Answer:
Step-by-step explanation:
5x + 2 - 3x - 1 = 3x + 2
5x - 3x - 3x = - 2 + 1 + 2
5x - 6x = 1
-1x = 1
x = 1 / -1
x = -1
PLEASE HELP I'LL GIVE BRAINLIEST!!!! AND I'M GIVING 100 POINTS!!!
When Max was a puppy, he weighed 5 1/2 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.
How much weight did Max gain between the time he was a puppy and his 1-year check-up?
Enter your answer as a decimal or simplified mixed number in the box.
Answer:
10.3 pounds
Step-by-step explanation:
Answer:
10.3 pounds
Step-by-step explanation:
15.8-5 1/2 is 10.3
3x-1 over 5 = x+1 over 3
I need asap
Answer:
(3x-1)/5= (x+1)/3
3(3x-1)=5(x+1)
then solve which the final answer will give you x=8
Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.
Answer:
6.75>6.732
Step-by-step explanation:
We are given that
6.75 and 6.732
We have to compare two given decimal numbers.
First we convert like decimal number
In 6.75 there are two digits after decimal point.
In 6.732 , there are three digits after decimal point
Therefore, we put zero in 6.75 to convert like decimal number
Now, we get
6.750
Unit place of both decimal numbers are same and tenth place of both decimal number are same.
Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3
5 >3
Therefore, 6.750 is greater than 6.732
6.75>6.732
Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.
Step-by-step explanation:
10y - 3(y + 2) > 2y + 4
10y - 3y - 6 > 2y + 4
(10 - 3 - 2)y > 4 + 6
5y > 10
y > 10/5
y > 2
[tex] \: [/tex]
Solution → y > 2
Interval Notation → [tex] \lang 2 , \infty\rang[/tex]
The solution in interval notation is: (2, ∞)
To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:
Step 1: Distribute the -3 on the left side of the inequality:
10y - 3y - 6 > 2y + 4
Step 2: Combine like terms:
(10y - 3y) - 6 > 2y + 4
7y - 6 > 2y + 4
Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:
7y - 2y - 6 > 2y - 2y + 4
5y - 6 > 4
Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:
5y - 6 + 6 > 4 + 6
5y > 10
Step 5: Finally, solve for y by dividing both sides by 5:
y > 10/5
y > 2
The solution to the inequality is y > 2. Now, let's write it in interval notation.
To know more about interval:
https://brainly.com/question/29126055
#SPJ2
Which of the following is not a solution of the equation below (3x(x-1)(x-2)=0
What is the options?
Give the digits in the hundred thousands place and the ten thousands place.
746,089
Answer:
Hundred thousands - 7
Ten Thousands- 4
Step-by-step explanation:
plz plz heelp me i need heelp
PLS HELP WITH ALGEBRA TWO
Answer:
Answers in Explanation
Step-by-step explanation:
8x^3 + 2x^2 - 20x - 5
(8x^3 + 2x^2) + (-20x - 5)
2x^2 (4x + 1) + (-5) (4x+1)
(2x^2 - 5) (4x + 1)
Refer to the map shown in exercise.2. If m.angle 1 os 64° what is the measure of angle.2?
Answer:180
Step-by-step explanation:
