Help!! 7th grade mathematics
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A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 feet.The remainder of the landis farmed.How many acres of land are farmed?Round to the nearest tenth.Explain your answer.(Hint: 1 acre = 43,560 square feet)
How would I find the day of my next birthday without using a calendar and maybe a linear sequence.
Please help I'll give brainliest
How do you convert kilometers to meters??
a. Find measurements in yards and miles for distances by filling in the table.
distance measured in miles
distance measured in yards
1
5
3,520
17,600
b. Is there a proportional relationship between a measurement in yards and a
measurement in miles for the same distance? Explain why or why not.
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Therefore, the ratio of yards to miles is always constant, making it a proportional relationship.
What is equation?
An equation is a mathematical statement that shows the equality between two expressions. It typically includes one or more variables, which are unknowns that can take on different values. An equation can be solved by finding the value or values of the variable(s) that make both sides of the equation equal.
Here,
a. Using the equation y = 1760m, we can fill in the table as follows:
distance measured in miles distance measured in yards
1 1,760
5 8,800
3.520 6,195.2
17,600 30,800,000
b. Yes, there is a proportional relationship between a measurement in yards and a measurement in miles for the same distance. The equation y = 1760m shows that the number of yards is always 1760 times greater than the number of miles. This means that if you double the number of miles, the number of yards will also double, and if you triple the number of miles, the number of yards will triple, and so on.
To know more about equation,
#SPJ1
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Here's the way I thought about it, and the answer I came up with
while avoiding the need to define and count every possible outcome:
-- There are (2 x 2 x 2 x 2) = 16 possible outcomes of 4 flips.
-- There are several different ways to get 1 heads and 3 tails.
-- There are several different ways to get 2 heads and 2 tails.
-- There are several different ways to get 3 heads and 1 tails.
-- But there's only one way to get heads all 4 times,
and there's only one way to get tails all 4 times.
-- So there are 2 ways for all 4 flips to produce the same face.
The probability of that is 2/16 = 1/8 = 12.5% , and I'm saying
that this is the least probable result of 4 flips.
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75/1 x 8/1 = 600/1
75 x 8 = 600
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Step-by-step explanation:
triangle formula is ½*b*h
so 5*8 is 40
1/2 of 40 is 20cm
1/2means divideby2soitis40/2
Answer:
20
Step-by-step explanation:
5 times 8 divided by 2 is 20, and you have to make sure to divide bc its a triangle
b) You want to make a profit of $100. Decide on a price for each size of candle.
c) Did you set the prices so that they are proportional to the volume of each size of candle? Why or why not?
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I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
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Taking first summation ∑(1+3n) first
First see few terms of this series. To get first term plug n =0 in 1+3n
So for n =0,
similarly for next term plug n =1
For n = 1,
For n =2,
So on ,........and last term will be for n =4
For n =4,
So we get terms as 1,4,7,.. with constant difference of 3 between succesive terms. So its arithemetic series. Sum formula for arithmetic series is
where n is total number of terms, and
are first and last term in series
So here n = 5 ( as n is from 0 till 4). so plug value of n as 5, as 1 and
as 13 in sum formula
So sum of first series is 35
Similarly find sum of second series. Plug i values in 3i-5 as shown and find few terms in series
for i =2,
for i =3,
so on .... and for last term plug i as 6
for i =6,
So for sum we will plug n as 5 ( i =2,3,4,5,6 so total 5 terms), then plug as -2 and
as 13 in sum formula
So sum of second series is also 35
So difference between sums of both series will be 35-35 =0
Final answer here is 0