Answer:
[tex]d = \frac{w}{48}[/tex]
If [tex]\frac{1}{48} \\[/tex] is constant, say k
Then,
[tex]d = kw[/tex]
∴ d ∝ w
Hence, weight is proportional to the density
Step-by-step explanation:
From the question,
Let w denote the weight of the rock in pounds
s denote the size of the rock in cubic inches and
d denote the density of the rock in pounds per cubic inch.
First, we will write the equation connecting w, s, and d.
We get
[tex]density (pounds/inch^{3} ) = \frac{weight(pounds)}{size (inch^{3}) }[/tex]
That is,
[tex]d = \frac{w}{s}[/tex]
Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write
[tex]d = \frac{w}{48}[/tex]
If [tex]\frac{1}{48} \\[/tex] is constant, say k
Then,
[tex]d = kw[/tex]
∴ d ∝ w
Hence, density is proportional to the weight OR weight is proportional to the density
WILL MARK BRAINLIEST !! For the right triangles below, find the values of the side lengths d and h.
Round your answers to the nearest tenth.
1. To determine simple interest, we use the formula i=prt where i is the interest, p is the principal or initial amount, r is the interst rate and t is the time. Sometimes it can be tricky to know what value to use when calculating t. A. What would you plug into the simple interest formula for t if you were given a time of 3 years? B. What would you plug into the simple interest formula for t if you were given a time of 4 months? C. What would you plug into the simple interest formula for t if you were given a time of 45 days?
Step-by-step explanation:
To determine simple interest, we use the formula
[tex]I=Prt[/tex]
where I is the interest, p is the principal or initial amount, r is the interest rate is in the unit of years and t is the time in years
When the times is 3 years , then we plug in 3 for 't' directly
[tex]I=Pr(3)\\[/tex]
we know that 1 year = 12 months
Suppose, the time is given in months then we divide time 't' by 12
When the times is 4 months , then we plug in 4 for 't' and divide by 12
[tex]I=\frac{Pr(4)}{12}[/tex]
we know that 1 year = 365 days
Suppose, the time is given in days then we divide time 't' by 365
When the times is 45 days , then we plug in 45 for 't' and divide by 365
[tex]I=\frac{Pr(45)}{365}[/tex]
What is the length of the given segments EF and GH?
Answer:
[tex] EF = 5 [/tex]
[tex] GH = 5 [/tex]
Step-by-step explanation:
Length of EFis the distance between E(-4, -3) and F (-1, 1).
[tex] EF = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] E(-4, -3) = (x_1, y_1) [/tex]
[tex] F(-1, 1) = (x_2, y_2) [/tex]
[tex] EF = \sqrt{(-1 -(-4))^2 + (1 -(-3))^2} [/tex]
[tex] EF = \sqrt{(3)^2 + (4)^2} [/tex]
[tex] EF = \sqrt{9 + 16} = \sqrt{25} [/tex]
[tex] EF = 5 [/tex]
Distance between G(-2, -3) and H(3, -3)
[tex] GH = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] G(-2, -3) = (x_1, y_1) [/tex]
[tex] H(3, -3) = (x_2, y_2) [/tex]
[tex] GH = \sqrt{(3 -(-2))^2 + (-3 -(-3))^2} [/tex]
[tex] GH = \sqrt{(5)^2 + (0)^2} [/tex]
[tex] GH = \sqrt{25 + 0} = \sqrt{25} [/tex]
[tex] GH = 5 [/tex]
how to calculate total ouput
Answer:
measure aggregate output by adding up the total expenditures by households. Then, if we assume that one person's spending is another person's income, an equivalent measure of the value of total output would be the total income reported by individuals.
Step-by-step explanation:
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 90
miles per hour. The westbound train travels at 80 miles per hour. How long will it take for the two trains to be 408 miles
apart?
Do not do any rounding.
x = # of hours
80x + 90x = 408
Combine like terms.
170x = 408
Divide both sides by 408
x = 2.4 hours
It will take the trains 2.4 hours to be 408 miles apart.
The two trains will travel their 408-mile distance in around 2.4 hours.
To determine the time it will take for the two trains to be 408 miles apart, we can use the concept of relative motion.
Since the two trains are moving away from each other in opposite directions,
their speeds are added to calculate the rate at which the distance between them is increasing.
Let's consider the time it takes for the trains to be 408 miles apart:
Distance = Rate × Time
For the eastbound train:
Distance = 90 miles/hour × Time
For the westbound train:
Distance = 80 miles/hour × Time
Since the trains are moving away from each other, their distances traveled add up to the total distance between them:
90 miles/hour × Time + 80 miles/hour × Time = 408 miles
Combining like terms:
170 miles/hour × Time = 408 miles
To solve for Time, isolate it by dividing both sides of the equation by 170 miles/hour:
Time = 408 miles / 170 miles/hour
Now we can calculate the time:
Time = 2.4 hours
Therefore, it will take approximately 2.4 hours for the two trains to be 408 miles apart.
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Write the sentence as an inequality. A number x is no less than –8.
x ≥ -8
Answer choice D is correct
x ≥ -8 represents the given inequality. Option C is correct.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here.
A number x in no less than -8,
Implies that the number x must be equal to -8 or more,
Applying the greater equal to sign(≥) between the x and -8
x ≥ -8
Thus, x ≥ -8 represents the given inequality. Option C is correct.
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Which numbers are irrational?
144 772 125 23
Which numbers are irrational? Select all that apply.
Answer: √72 and √23
Step-by-step explanation:
if its only one answer you need pick √72
Write the following equation in slope intercept form:
-x + 3y = 9
Add both sides by x:
3y = x + 9
Divide both sides by 3:
y = 1/3x + 9
Slope: 1/3
Y-intercept: (0,9)
Answer:
y=1/3x+3
Step-by-step explanation:
-x+3y=9
+x +x
3y=x+9
3
y= 1/3x+3
2 MATH QUESTIONS 20 POINTS
Answer:
1. B
2. -6,-3
Step-by-step explanation:
What is the answer 3x+2= -55
Answer:
-19
Step-by-step explanation:
(-9,7),(9,1) What is the point-slope form of the equation of the line?
PLSSS HELP , ILL MARK BRAINLIST !!! HAVE TO GET IT RIGHT
Answer:
[tex]18[/tex]
Step-by-step explanation:
If there are two variables together, you will have to multiply them.
[tex]xy=x*y[/tex]
Replace x and y accordingly:
[tex]6*3=18[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}[/tex]
Step-by-step explanation:
Given, x = 6 and y = 3
[tex] \sf{xy}[/tex]
plug the value of x and y
[tex] \dashrightarrow{ \sf{6 \times 3}}[/tex]
Multiply the numbers
[tex] \dashrightarrow{ \sf{18}}[/tex]
Hope I helped!
Best regards! :D
can I get an answer please
f(x)=2/3x-5 what is the value
Answer:
the answer is c
Step-by-step explanation:
i did the test on edgunity
Which expression is equivalent to the given expression? 3.12 + 50 - 7(x2 + 4) A. -4x2 + 5x – 28 B. -4x2 + 5x – 4 c. x2 + 28 D.x2 + 4
Answer:
B is
Step-by-step explanation:
an air plane is travaling at 400 miles per hour. which equation can be used to find the total distance the plane will travel in h hours?
Answer:
I think 400+24=424
Step-by-step explanation: i think its that equation because there are 24 hours in a day so if you put that with 400 you'll get 424
Venus is about 108 kilometers from the Sun. Saturn is about 109 kilometers from the Sun. About how many times farther from the Sun is Saturn than Venus? a)1072 b)1017 c)10 d)1
Answer:
1017.
Step-by-step explanation:
Venus is 108.11 million miles away from the sun, and Saturn is about 109 billion. Using a calculator, I tried each of the answers until I found the correct one. Hope this helped!
Rock climbing. I am out rock climbing, and the rock face has 4 easy, 7 challenging, and 3 extreme routes to get to the top. The routes are poorly marked, so I just choose one at random, with all routes equally likely. What is the probability that I do not choose an extreme route
Answer:
0.7857
Step-by-step explanation:
Given the following :
Number of Easy faces = 4
Number of challenging faces = 7
Number of extreme faces = 3
Total number of faces or route = (4 + 7 + 3) = 14
If one route is chosen at random, the probability of not choosing an extreme route will be :
Probability = (required outcome / Total possible outcomes)
P(not choosing an extreme route) = 1 - P(choosing an extreme route)
P(choosing an extreme route) = 3 / 14 = 0. 2143
Hence,
P(not choosing an extreme route) = 1 - 0.2143
= 0.7857
What is the quotient and what is the remainder?
Answer:
quotient is 18 and remainder is 7
What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?
Answer:
3/2
Step-by-step explanation:
Given the equation 3/2(4x-2)-3x = 5-(x+2)
Open the parenthesis
3/2(4x) - 3/2(2) -3x = 5-x-2
6x-3-3x = 3-x
3x-3 = 3-x
Collect like terms
3x+x = 3+3
4x = 6
Divide both sides by
4x/4 = 6/4
x = 3/2
Hence the value of x is 3/2
Emma buys produce for her dad’s French fry restaurant. She bought 55 bags of potatoes. There were 175 potatoes in each bag. How many potatoes did Emma buy? Susan solved the problem and said, “Emma purchased 1,750 potatoes for her dad’s restaurant.”
Answer:
9,625
Step-by-step explanation:
No. of potatoes present in each bag = 175
No. of bags of potatoes Emma brought = 55
So total no. of potatoes = 175 × 55
= 9,625
When is a Pythagorean theorem true for all triangles?
Answer:
If it is a right triangle.
Step-by-step explanation:
Answer:
Pythagorean Theorem with an actual right triangle. This theorem holds true for this right triangle—the sum of the squares of the lengths of both legs is the same as the square of the length of the hypotenuse.
If wrong correct me.
please help me with this!!! Please look at the screenshot below.
Answer: Mean and Median change
Step-by-step explanation:
If there's an error in the data, the 3 hits will be removed causing the mean and median to be different than they were before
what is the answer ???
Answer:
(-1.5, -2)
Step-by-step explanation:
Hope this helped.
Need help with this
Answer:
to hard reeeeeee
Step-by-step explanation:
what is -9(8+4v) equal Help quick
Answer:
-72-36v
Step-by-step explanation:
Answer:
-36v-72
Step-by-step explanation:
distribute/multiply -9 to the eqauation inside the parathesis.
1.5x+12-0.5x=18 solve for x pls
You are baking and run out of an important ingredient. Rather than fire up the car, you decide to use a bicycle. The store is 1/2 mile away. Assume your car gets 30 miles to the gallon. If every driver on the planet made a similar decision once per week for a year, approximately how much gas would be saved for that year
Answer:
approximately 1.213 billion gallons of fuel will be saved per year.
Step-by-step explanation:
Distance to the store = 1/2 mile
If my car gets 30 miles to one gallons, then for 1/2 mile my car will use
1/2 ÷ 30 = 1/2 x 1/30 = 1/60 gallons
Statistics puts the number of cars users on Earth to be about 1.4 billion = 1.4 x 10^9 cars
If every driver makes this decision once a week for a year, that will be 52 times a year since there are 52 week in a year.
Total gas that will be saved in one week = 1/60 x 1.4 x 10^9 = 23333333.3 gallons
In a year that will be = 23333333.3 gallons x 52 = 1.213 x 10^9 gallons
that is approximately 1.213 billion gallons of fuel saved per year
what is the alt code for the division sign? 50 points
Answer:
ALT+246
(0247)
Step-by-step explanation:
ALT+246
(0247)
Terrence walks at a pace of 2 mi/h to the theater and watches a movie for 2 h and 15 min. He rides back home, taking the same route, on the bus that travels at a rate of 40 mi/h. The entire trip takes 3.5 h. How far along this route is Terrence’s house from the theater? Explain.
Answer:
2.2 miles
Step-by-step explanation:
3 hours and 30 minutes minus 2 hours and 15 minutes is 1 hour and 15 minutes. 2/40 gives you 0.05. 1.15 - 0.05 gives you 1 hour and 10 minutes and multiply that by 2 and it gives you 2.2 miles.
The distance between Terrence’s house from the theater will be 2.4 miles.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Distance is defined as the length between the two points.
Let us suppose the following parameters to get the distance.
D = distance of Terrence’s house from the theater
v₁ = speed at which Terrence walks from home to the theater = 2 mi/h
t₁ = time taken by Terrence to walk from home to the theater = D/v₁ = D/2
v₂ = speed at which Terrence returns back to home = 40 mi/h
t₂ = time taken by Terrence to return back to home = D/v₂ = D/40
t' = time spent in watching the movie = 2 h 15 min = 2.25 h
t = total time = 3.5 h
The distance will be calculated as given below:-
t = t₁ + t₂ + t'
3.5 = (D/2) + (D/40) + 2.25
D = 2.4 miles
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