Answer: We can start solving this problem by using the information given: the ships are traveling in opposite directions and the speed difference between them is 12 mph. Let's call the speed of the ship heading east x and the speed of the ship heading west x-12.
We also know that the ships were 300 miles apart after 6 hours. The distance between the two ships can be represented as the sum of the distances traveled by each ship, which is x*6 + (x-12)*6 = 300.
We can use this equation to find the value of x.
x*6 + (x-12)*6 = 300
We can simplify it as:
x6 + x6 - 72 = 300
x12 - 72 = 300
x12 = 372
x = 31
So the ship heading east travels at 31 mph.
It is important to notice that the ship going west was 12 mph slower than the ship going east, so the speed of the ship going west is 31-12 = 19 mph.
It is also important to notice that the speed of each ship, x and x-12, are in the same units (mph) and also the distance, 300 miles, and the time, 6 hours, are also in the same units (hours and miles)
Step-by-step explanation:
If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Answer:
Step-by-step explanation:
If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers
Let us represent:.
First number = x
Second number = y
If the sum of two numbers is 4
= x + y = 4
x = 4 - y
The sum of their squares minus three times their product is 76
x² + y² - 3xy = 76
We substitute 4- y for x
(4 - y)² + y² - 3(4 - y)y = 76
(4 - y)(4 - y) + y² - (12 - 3y)y = 76
16 - 4y - 4y - y² + y² - 12y - 3y² = 76
16 -20y - 3y² = 76
3y² + 20y - 16 + 76 = 0
3y² + 20y + 60 = 0
pls help its due now
Answer:
$2.25 is the cost of one pretzel
Step-by-step explanation:
6p/13.50
p=2.25
Plz answer only if u know u are correct
Answer:
Y=-2x+6
Step-by-step explanation:
help pleasseeeeeeeeee
Answer:
B, C, E, F
Step-by-step explanation:
The population of Williston is currently 21,200 people. If the population
increases at an average rate of 415 people per year, which equation could
be used to find the approximate number of years it will take for the
population to reach 27000 people?
[tex]21200 + 415(y)[/tex]
[tex]27000 = 21200 + 415(y)[/tex]
[tex]27000 - 21200 = 21200 - 21200 + 415(y)[/tex]
[tex]5800 = 415(y)[/tex]
[tex] \frac{5800}{415} = \frac{415(y)}{415} [/tex]
[tex]13.9759..... = y[/tex]
[tex]it \: will \: take \: about \: 14.0 \: years[/tex]
Suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually.
How much money will be in that account at the end of 4 years? Round your answer to the nearest
cent
=====================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 1000*(1+0.0085/1)^(1*4)
A = 1034.43596172007
A = 1034.44
---------------------
Notes:
P = 1000 is the deposit or principalr = 0.0085 is the decimal form of the annual interest rate of 0.85%; we can say 0.85% = 0.85/100 = 0.0085n = 1 represents how many times per year we're compounding the money (ie annually)t = 4 = number of yearsThe result of 1034.44 dollars is only possible if you do not withdraw any of the money in the four year time period.Please help
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.
Answer:
distributive property
9x+15
Step-by-step explanation:
The distributive property is whenever you have () and distribute until you have zero of these ()
The equivalent expression simply means write this equation differently.
Mister Lincoln by juices and water for the school picnic a pack of their juices box cost $5 about the six water bottles cost $3 Mister Lincoln spends $94 for a Hyundai Sonata juice boxes and bottled water.
Answer:
10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Step-by-step explanation:
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.
Solution:
Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.
Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:
5x + 3y = 95 (1)
Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:
8x + 6y = 170 (2)
Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:
2x = 20
x = 10
Substitute x = 10 in equation (1):
5(10) + 3y = 95
50 + 3y = 95
3y = 45
y = 15
Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln
An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.
Answer:
78.3 or 78.29
Step-by-step explanation:
We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.
Opposite/Hypotenuse
We use this equation
[tex] \sin(theta) = \frac{opp}{hypo} [/tex]
Plug in the values
[tex] \sin(31) = \frac{x}{152} [/tex]
Which is about 78.29
What is the LCM of 10 and 12?
Answer:
The LCM of 10 and 12 is 60
Step-by-step explanation:
Hope this helped! :)
Answer:
i think its 60
Step-by-step explanation:
3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
Given fg(2) = 9 and gf (1/2) = 2, find the value of a and of b.
hiii this is adddmath can anyone help with this please
Answer:
fg(2) = 9 means that f(g(2)) = 9
We know that g(2) = 6
So f(6) = 9 which means that
6a - b = 9 (note 1)
And we know that g(f(1/2)) = 2
And we know that f(1/2) = 1/2(a) - b
So g(1/2(a) - b) = 2
Meaning that 1/2(a) - b + 4 = 2
So 1/2(a) - b = - 2 (note 2)
Using note 1 and 2 we can solve the equation
11/2(a) = 11 so a = 2 and b = 3
what is the sum of 3 + 6 + 5
Answer:
The answer is 14
Step-by-step explanation:
3 + 6 = 9
9 + 5 = 14
Find x ( transversals relations )
Answer:
x = 12
Step-by-step explanation:
(8x - 34) and (5x + 2) are alternate angles and congruent, then
8x - 34 = 5x + 2 ( subtract 5x from both sides )
3x - 34 = 2 ( add 34 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Solve for each of the following situations.
Megan ordered her favorite pizza with 12 slices. Sadly, she could finish only 75% of the whole pizza. How
many pizza slices are left?
Answer:
She left 3 slices
Step-by-step explanation:
to find the number of slides that I have concluded, we will do the following
[tex] \frac{75}{100} \times 12 = 9[/tex]
Then She left
[tex]12 - 9 = 3[/tex]
Write as an addition problem: 22 - (-8)
Step-by-step explanation:
22+8
I think this ans may help you
A computer processor costs $96.00. It is expected that in 8 months the processor will cost 3/4 its current price. How much will it cost in 8 months?
72
Step-by-step explanation:
96 × 3/4 = 72
Hope this helps! (:
Multiplication is a method of finding the product of two or more numbers. After 8 months the cost of computer processor is $72
What is Multiplication?multiplication is a method of finding the product of two or more numbers.
It is given that,
A computer processor costs initially $96.00
It is expected that in 8 months the processor will cost 3/4 its current price.
Which means its cost will 3/4 times of 96.
Whenever we use times it means product or multiply.
Three by four times of ninety six
3/4 ×96.
288/4
72
Hence after 8 months the cost of computer processor is $72
To learn more on Multiplication click:
https://brainly.com/question/5992872
#SPJ2
Are these two triangles congruent? *
Answer:
not congruent because none of the angles match
Answer:
Not Congruent
Step-by-step explanation:
No.
Two corresponding sides measure 8 and 4.
The other two corresponding sides measure 7 and 3.5.
In order to be congruent, each pair of corresponding sides has to be congruent.
Challenge. A large university accepts 60% of the students who apply. Of the students the university accepts, 50% actually enroll. If 10,000 students apply, how many actually enroll?
Answer: 3,000
Step-by-step explanation:
Apply= 10,000
University Accept= 10,000*60% = 6,000
Enroll= 6,000*50% = 3,000
Please help meeeee!!!!!!!!! What’s the answer????
Answer:
The answer would be y= |x-2| -1.
When graphing the answer B would be a larger quantity but A is the correct answer. Hope this helps :))
A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.
How many days, x, will it take the kitten to double its weight? Write and solve the equation.
Answer:
9 days
Step-by-step explanation:
Answer:
180=90+10x X = 9 days
Step-by-step explanation:
PLEASEEEEEE!!! help with this
PLEASE EXPLAIN HOW TO DO THIS LIKE IN STEPS AND EVERYTHING
Explain, in detail, the steps on how to factor the following trinomial.
3x^2+5x +2
Answer:
(3x+2)(x+1)
Step-by-step explanation:
Given the quadratic equaton;
3x^2+5x +2
Factorize
(3x^2+3x+)(2x+2)
Factor out the common value from each bracket
3x(x+1) + 2(x+1)
3x+2(x+1)
Hence the factored form is (3x+2)(x+1)
What is 30% of 42?
I’ve given up on my hw pls help
Answer:
12.6 is the answer! happy to help ya :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
42(30/100)
12.6
I need a lot of heeelp pleaseee
Answer:
i think its mn
Step-by-step explanation:
its the 2 close to qs
If you borrow $491 for one year at an interest rate of 9%, how much interest will you pay?
Answer:
44.19
Step-by-step explanation:
419*0.09=44.19
write a linear equation of a line that goes through (8,0) and (-6,7)
Answer:
Line equation: y=−0.5x+4
Slope: -0.5
Intercept: 4
Step-by-step explanation:
A book sold 32,100 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Answer:
Your answer.
345161.29
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
Answer:
345,161
Step-by-step explanation:
It means that [tex]32,100=.093x[/tex]. Divide each side by .093, and you get 345,161, dropping the decimal, since you can't sell a fraction of a book.
what's the value of
[tex](2 \sqrt{2}) {}^{2} [/tex]
chess ?
Answer:
jbtcxey5x6ivb
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
(2√2)^2
= (2^2× √2^2)
=(4×2)
=8
Could someone Please Help me with this?!?!?!?!
Answer:
-3
Step-by-step explanation:
To find slope use the equation [tex]y2 - y1 / x2 - x1[/tex]
1. Pick any two coordinate pairs to use in the equation. I'll choose (-2, 7) and (-1, 4).
2. Plug these coordinates into the formula. 4 - 7 / -1 - - 2
3. Solve! -3/ 1 = -3
4. The slope of this line is -3
The price have changed from $120 to $75. By how many
percent did it change?
Plz show how you did it
Answer:
around 37%
Step-by-step explanation:
120 × (1 - 37%) = 120 × (1 - 0.37) = 75.6
if im being honest i used calculator . net's percentage calculator
please help! thank u!
Step-by-step explanation:
I cannot see the correct value so u check yourself. but this is the correct graph.