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2 years ago

Conversions factors and proportion quiz part 2 could some one help me

Mathematics

1 answer:

Jet001 [13]2 years ago

6 0

Answer: 1050 bushels of corn

Step-by-step explanation: 750 / 10 gives us the amount that 1 acre produces. It produces 75 corn bushels per acre, so then you can either do 75 * 4 + 750 or 75 * 14

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Write 120 as a product of primes.<br>Use index notation

zvonat [6]

Answer:

2³×3×5

Step-by-step explanation:

_______________

8 0

3 years ago

(A) Write an equation for the line that contains (2, -6) and is parallel to y = 3x + 9.

UkoKoshka [18]

Hey!
Here’s the answer and set up for A
First you need to find the slope. Since the line is parallel to 3x+9. The slope will be the same so the slope will be 3. Next you need to put it in point slope and switch the sign so if it’s positive it’s going to be negative
This is what it will look like using point slope formula
(y+6)=3(X-2)
Then you will distribute the 3
(Y+6)=3x-6
Finally you will subtract the 6 from the left side so
Y=3x-12 will be your line. Now just do the same thing to B!
Hope this helped!!

8 0

3 years ago

Randi has a party-sized sandwich that is 3/4 yard long. She will cut it into smaller sandwiches that are each 1/12 yard long. Wh

Elena L [17]

Answer:

The expression for number of sandwiches is $n=\frac{3}{4}\div\frac{1}{12}$

9 small sandwiches can be made.

Step-by-step explanation:

Given:

Length of party-sized sandwich (l) = 3/4 yard

Length of each small sandwich (s) = 1/12 yard

Now, let the total number of small sandwiches be 'n'.

Now, sum of all the lengths of small sandwiches will be equal to the length of the party-sized sandwiches.

Therefore, framing in equation form, we have:

Length of large sandwich = Length of small sandwich × Total number of small sandwiches.

$l=s\times n\\\\n=\dfrac{l}{s}$

Now, plug in the given values and solve for 'n'. This gives,

$n=\frac{3}{4}\div \frac{1}{12}\\\\n=\frac{3}{4}\times \frac{12}{1}\\\\n=\frac{36}{4}=9$

Therefore, 9 small sandwiches can be made.

3 0

3 years ago

An airplane flies 370 miles in 1/2 hour what is its average speed in miles per hour

Sliva [168]

Answer:

740

Step-by-step explanation:

370 miles in 0.5 hours

370/0.5 = 740 miles per hour

6 0

3 years ago

For the function below, find a formula for the upper sum obtained by dividing the interval [a comma b ][a,b] into n equal subin

Vlad [161]

Answer:

See below

Step-by-step explanation:

We start by dividing the interval [0,4] into n sub-intervals of length 4/n

$[0,\displaystyle\frac{4}{n}],[\displaystyle\frac{4}{n},\displaystyle\frac{2*4}{n}],[\displaystyle\frac{2*4}{n},\displaystyle\frac{3*4}{n}],...,[\displaystyle\frac{(n-1)*4}{n},4]$

Since f is increasing in the interval [0,4], the upper sum is obtained by evaluating f at the right end of each sub-interval multiplied by 4/n.

Geometrically, these are the areas of the rectangles whose height is f evaluated at the right end of the interval and base 4/n (see picture)

$\displaystyle\frac{4}{n}f(\displaystyle\frac{1*4}{n})+\displaystyle\frac{4}{n}f(\displaystyle\frac{2*4}{n})+...+\displaystyle\frac{4}{n}f(\displaystyle\frac{n*4}{n})=\\\\=\displaystyle\frac{4}{n}((\displaystyle\frac{1*4}{n})^2+3+(\displaystyle\frac{2*4}{n})^2+3+...+(\displaystyle\frac{n*4}{n})^2+3)=\\\\\displaystyle\frac{4}{n}((1^2+2^2+...+n^2)\displaystyle\frac{4^2}{n^2}+3n)=\\\\\displaystyle\frac{4^3}{n^3}(1^2+2^2+...+n^2)+12$

but

$1^2+2^2+...+n^2=\displaystyle\frac{n(n+1)(2n+1)}{6}$

so the upper sum equals

$\displaystyle\frac{4^3}{n^3}(1^2+2^2+...+n^2)+12=\displaystyle\frac{4^3}{n^3}\displaystyle\frac{n(n+1)(2n+1)}{6}+12=\\\\\displaystyle\frac{4^3}{6}(2+\displaystyle\frac{3}{n}+\displaystyle\frac{1}{n^2})+12$

When $n\rightarrow \infty$ both $\displaystyle\frac{3}{n}$ and $\displaystyle\frac{1}{n^2}$ tend to zero and the upper sum tends to

$\displaystyle\frac{4^3}{3}+12=\displaystyle\frac{100}{3}$

8 0

4 years ago