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3 years ago

Helppp plzzzzzzzzzzzzzz

Mathematics

2 answers:

erastova [34]3 years ago

7 0

Answer:

equivalent

Step-by-step explanation:

i just know

Sever21 [200]3 years ago

4 0

Equivalent :)
Explanation: adding 2k and 6k together creates 8k, making both equations 4+8k, hope this helps!

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506 students went on a field trip. Nine buses

vampirchik [111]

Answer:

53 students on each bus

Step-by-step explanation:

506-29=477 (take out the students that went by car)

477/9 = 53 (distribute 477 students evenly in 9 buses)

8 0

3 years ago

Read 2 more answers

_______ was the most important contribution of the Shang Dynasty.

Pavlova-9 [17]

The Shang Dynasty had several contributions to history. One of the most important and notable contribution was writing.

7 0

3 years ago

Apel Sinoman has 100 ft of fencing material to enclose a rectangular exercise run for her dog. One side of the run will border h

Olegator [25]

Answer:

For maximum area of the rectangular exercise run dimensions will be 50ft by 25ft.

Step-by-step explanation:

Let the length of the rectangular exercise run = l ft

and width of the run = w ft

Sinoman has to cover a rectangular exercise run from three sides with the fencing material,

So length of the material = (l + 2w) ft

l + 2w = 100

l = 100 - 2w --------(1)

Area of the rectangular area covered = Length × width

A = lw

A = w(100 - 2w) [(l = 100 - 2w)from equation (1)

For maximum area we find the derivative of area and equate it to zero.

$\frac{dA}{dw}=\frac{d}{dw}[w(100-2w)]$

$A'=\frac{d}{dw}(100w-2w^{2} )$

A' = 100 - 4w

For A' = 0

100 - 4w = 0

4w = 100

w = 25 ft

From equation (1)

l = 100 - 2w

l = 100 - 2×(25)

l = 50 ft

Therefore, for maximum area of the rectangular exercise run dimensions will be 50ft by 25ft.

5 0

4 years ago

Sally needs 2/3 of a pound of potatoes. This is 1/3 of a pound more than 4/3 of the potatoes Sally has in her pantry

amid [387]

Lets assume, Sally has X pound of potatoes in her pantry.

So, 4/3 of the potatoes Sally has in her pantry = $\frac{4}{3}X$

Now, Sally needs 2/3 pound of potatoes and this 2/3 pound of potatoes is 1/3 pound more than that $\frac{4}{3}X$

So the representing equation will be:

$\frac{2}{3} = \frac{1}{3}+ \frac{4}{3}X$

$\frac{2}{3} - \frac{1}{3} = \frac{4}{3} X$ (subtracting $\frac{1}{3}$ from both sides)

$\frac{1}{3}= \frac{4}{3}X$

$1= 4X$ (multiplying both sides by 3)

$X =\frac{1}{4}$

So, Sally has $\frac{1}{4}$ pound of potatoes in her pantry.

4 0

3 years ago

A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fa

siniylev [52]

Answer:

x + y = 1042

1.50x + 0.75y = 1140

Step-by-step explanation:

If there was a total of 1,042 fares paid then x + y would be equal to that because x is the number of regular fares paid and y is the number of reduced fares paid.

If there was a total of $1,140 made from the fares then we can use 1.50x + 0.75y. We put the 1.5 in front of the x because each fare paid costs $1.50, same with Y each reduced fare paid is $0.75. So both of those need to be added up to get $1,140.

6 0

3 years ago