Answer:
Peter is 20 years old
Step-by-step explanation:
John= 2(Peter's age) (j=2p)
Peter= (Alice's age + 5) (P= A+5)
Okay, so let's substitute the equations now:
John= 2(Alice + 5)
So the equation for 5 years from now is:
2(A+5) + 5 = 3a (because he is 3 times as old as alice)
so, let's solve for that equation:
2a + 10 + 5 = 3a
subtract 2a from both sides:
15= a
so, Alice is going to be 15 years old, so now we can solve for Peter's age:
P= A + 5
P= 15 + 5
P = 20
Peter is 20 years old
I hope this helps! :)
A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2/25. How many blue marbles are in the bag?
2
3
5
6
Answer:
6 blue marbles
Step-by-step explanation:
Given;
Total number of marbles N = 15
probability of randomly selecting a green marble
P(G) = 1/5
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble P(G∩B) = 2/25
P(G∩B) = P(G) × P(B)
P(B) = P(G∩B) ÷ P(G)
The probability of selecting a blue marble
P(B) = 2/25 ÷ 1/5 = 2/5
The number of blue marbles N(B) = P(B) × N
N(B) = 2/5 × 15 = 6
There are 6 blue marbles
what is the value of x+7 when x=3?
Answer:
10
Step-by-step explanation:
Replacing x for three (x=3) would make the equation then read 3+7
Answer:
The answer is 10.
Step-by-step explanation:
You have to substitute x = 3 into the expression :
[tex]x + 7[/tex]
Let x = 3,
[tex]3 + 7 \\ = 10[/tex]
what is the transitive property
Answer:
the transitive property of uniformity reveals to us that on the off chance that we have two things that are equivalent to one another and the subsequent thing is equivalent to a third thing, at that point the primary thing is additionally equivalent to the third thing. The recipe for this property is in the event that a = b and b = c, at that point a = c.
I have attached the definition below with an example too.
how many seconds are in 2.5 hours
Answer:
9000 sec.
Step-by-step explanation:
There are 60 sec in an hour and 60 sec in a min:
60 × 60 = 3600
Multiply 3600 to 2.5:
3600 × 2.5 = 9000
Therefore, there are 9,000 sec in 2.5 hrs.
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a = 2 and r = 3
a5 = [?]
Answer:
162
Step-by-step explanation:
Since the ratio is 3, the terms are 3 times the term before.
So the answer is 2*3^4 = 162
Two planes are flying away from Toronto Pearson International Airport. The Air Canada
plane is flying with an average speed of 800 km/h in the direction of N30°W and the
British Airways plane is flying with an average speed of 750 km/h in the direction of
545°W. Assuming that the planes left at the same time, using different runways, how
far apart (to the nearest km) are the two planes after 90 minutes? N30°W means the angle
between north and west is 30° and 545°W the angle between south and west is 45°.
Please help ASAP!
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
Please answer the question below and show your work!
|
|
|
|
v
Answer:
10
Step-by-step explanation:
F + V − E = 2
Where F is the number of faces, V is the number of vertices and E is the number of edges
F + 16 - 24 = 2
Combine terms
F -8 = 2
Add 8 to each side
F -8+8 =2+8
F = 10
can someone lemme borrow their heart i been feeling lonely and i just want to be loved
Answer:
yes, of course.
Step-by-step explanation:
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Which expression is not equivalent to 3(n + 6)
Answer:
3n + 6
Step-by-step explanation:
So the simplified version is 3n + 18
3n + 6 X
3n + 18 = 3n + 18
2n + 8 + n + 10 = 3n + 18
2(n + 6) + 6 + n = 3n + 18
All of them except the first are EQUIVALENT.
Answer:
3n+6 is not equivalent.
Step-by-step explanation:
Carol rolled a dice 150 times she rolled a six 29 times
Use carols data to estimate the probability of rolling a six with this dice
Give your answer as a fraction
Answer:
If Carol rolled a six 29 times in total (out of the 150 dice rolls) then the fraction would be 29/150
Step-by-step explanation: I think
The Second Statement is the ____ of the first.
Answer:
inverse because if your switching the order up it would be inverse
Step-by-step explanation:
A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is the current value of the house?
Answer: $23,600. ; $318,600
Step-by-step explanation:
From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.
The value of the increase will be 8% of $295,000. This can be mathematically written as:
= 8% of $295,000
= 8/100 × $295,000
= 0.08 × $295,000
= $23,600
The current value of the house will be:
= $295,000 + $23,600
= $318,600
Can you help show me where they belong ? pls help asap
y=3x, y=(2/7)x,-0.5=y are all on direct the other ones are on the other side i just did the question they correct. :)
How much will it cost in Canadian dollars to purchase €2000 at a bank that charges a 2.2% commission on the transaction? Use an exchange rate of $1 Canadian equals €0.711142.
Answer:
$2,874.25 Canadian dollar
Step-by-step explanation:
The first thing to do here is to calculate the amount of the commission.
That would be 2.2% of €2,000
= 2.2/100 * €2,000 = €44
Now the total cost to pay = selling price + amount in commissions = €2,000 + €44 = €2,044
But we need our answer in the Canadian dollars
Mathematically;
$1 Canadian = €0.711142
$x Canadian = €2,044
x = (2,044 * 1)/0.711142
x = 2,874.25014975912
This is approximately $2,874.25 Canadian dollar
Sally's basic cable plan costs $55 a month and an additional $3 for each premium channel.
Cable plan B costs $60 and an additional $2.50 for each premium channel. Which plan is
cheaper if Sally wants to order 10 premium channels?
Step-by-step explanation:
Sally is paying $55 + $3×10 = $85 currently
if she switches to plan B the she will pay $60 + $2.50×10 = $85
That shows both of the cable plan costs same for monthly payment + 10 premium channels
PLEASE HELP!!
According to the graph, what is the value of the constant in the equation below?
Answer:
C. 0.4
Step-by-step explanation:
Hope this helps :3
(feedback is very helpful ^w^)
4/5 of 30 =
2/9 x 45 =
24 x 1/6 =
Answer:
1) 24
2) 10
3) 4
Step-by-step explanation:
A two digit number is written at random what is the probability that the number will be odd
Answer:
50%
Step-by-step explanation:
So there are 90 2 digit numbers. There are 45 2 digit odd numbers.
The probability should be 50%
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
4^15/ b^21
Step-by-step explanation:
( b^7 / 4^5) ^ -3
b^7 ^ -3 / 4^5^-3
We know that x^y^z = x^ (y*z)
b^ (7*-3) / 4^(5*-3)
b ^ -21 / 4 ^ -15
We know that a^ -b = 1/ a^b
We do not like to leave negative exponents
1 * b^21 * 4 ^15
4^15/ b^21
He local zoo has 23 animals it can take on visits to schools and other community centers. How many ways can the zoo directors choose 9 animals for a trip to a middle school?
Answer:
207
Step-by-step explanation:
If f(x) = 5x - 4 and g(x) = 4x + 1, find (f - g)(x).
Answer:
Step-by-step explanation:
5x - 4 - (4x + 1)
5x - 4 - 4x + 1
x - 3
In the figure below, triangle RPQ is similar to triangle RTS.
Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.
What is the distance between P and Q?
24
42
50
54
Answer:
The distance between P and Q is 54
Step-by-step explanation:
We are given that triangle RPQ is similar to triangle RTS.
Property of similar triangle: The ratio of any pair of corresponding sides is the same.
So, by property : [tex]\frac{RP}{RT}=\frac{PQ}{ST}[/tex]
PR=42
PQ=x
ST=36
RT=28
So,[tex]\frac{42}{28}=\frac{x}{36}[/tex]
[tex]\frac{42 \times 36}{28}=x[/tex]
54=x
Hence the distance between P and Q is 54
Answer:
D) 54
Step-by-step explanation:
Completed the test earlier
If Andre made another countryard scale drawing at a scale of 1 to 12, would this drawing be smaller or larger than the first drawing ? Explain your reasoning.
Answer:
smaller
Step-by-step explanation:
If Andre is using a scale of 1:12 then we can safely say that the courtyard drawing will be smaller than his first drawing. This is because this scale means that for every 12 units of measurement on the original the newer version will be 1 unit of measurement. Therefore making the new drawing 12 times smaller than the first one that Andre made.
If you randomly select a letter from the phrase "Do not run on Ichiro," what is the probability that you select a vowel? (Your answer must be in the form of a reduced fraction.)
Answer: 7/16
Step-by-step explanation:
Vowels: A, E, I, O, and U.
Number of Vowels in the phrase: "Do not run on Ichiro": 7
Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16
For probability it is selected amount/ total amount
So 7/16, and this fraction is in its most simplified (reduced) form.
If this helped please mark me brainliest
The probability is [tex]7\div 16[/tex]
The calculation is as follows:Vowels: A, E, I, O, and U.
Number of Vowels in the phrase: "Do not run on Ichiro": 7
Now the total numbers of letters in the Phrase "Do not run on Ichiro": 16
So, the probability is the same.
Find out more information about the probability here: https://brainly.com/question/795909?referrer=searchResults
Leo wants to paint a mural that covers a wall with an area of 300 square feet. The height of the wall is 13 of its length. What is the length and the height of the wall?
Answer:
l=30ft
h=10ft
Step-by-step explanation:
Area 'A' is defined as the product of length and height
[tex]A=lh=300ft^2\\h= \frac{1}{3} l[/tex]
[tex]\\300=l( \frac{1}{3}l)\\300=\frac{1}{3} l^{2}\\900=l^{2}\\30=l\\l=30ft\\\\h= \frac{1}{3}(30)\\h=10ft[/tex]
Thus, the length and the height of the wall is 30 ft and 10 ft respectively.
what two numbers are located exactly 3/2 unfits from 1/2 on the number line?
Answer: One of the numbers would be 2, and the other would be -1.
Step-by-step explanation: Looking at a number line, you can move 3 half units in either direction of the original point, in this case being 1/2, to find your answers
The answer appears incorrect, please help me correct it :)
Every line on the graph is 1/2 unit.
When y = 0, x would be -0.25 and 1.25
When y = 2, x would be -0.5 and 1.5
Ramiro is also a college student. He has a credit card balance of $500.00. The APR on his card is 18.24%. His minimum payment is $10.00. (do not use commas or dollar signs in the answers)
How much will he pay in all?
Answer:
No of Monthly payments it would take to pay off his credit card = $94.601 per month
Step-by-step explanation:
If Ramiro made monthly payments at the end of each month, how long would it take to pay off his credit card?
No of Monthly payment it would take to pay off his credit card = nper(rate,pmt,pv,fv)
No of Monthly payment it would take to pay off his credit card = nper(18.24%/12,10,-500,0)
No of Monthly payment it would take to pay off his credit card = $94.601 per month.
what is x is the top is 5m
Answer:
6 m
Step-by-step explanation:
So
S = 42 = 1/2*h*(a+b) = 1/2 * h * (5+9)
h = 6m
Find the distance between the two points in simplest radical form.
(-3, -4) and (-7, -9)
Answer:
√41 units
Please see the attached picture for full solution
hope it helps
Good luck on your assignment
Answer:
√ [41]
Step-by-step explanation:
Determine how much x and y each change, and then apply the Pythagorean Theorem to find the length of the hypotenuse (which is also the desired distance between the two points):
Moving from (-7, -9) to (-3, -4), x increases by 4 and y increases by 5.
Thus, the length of the hypotenuse / distance between the two points) is
d = √ [4² + 5² ] = √ [41]
