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OleMash [197]
2 years ago
11

Plz I need help can you solve this

Mathematics
1 answer:
tester [92]2 years ago
6 0

Hey there,

Please check the picture attached as my answer.

Convey me if you have any doubts.

~ Benjemin360

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A developer wants to develop a 25-acre subdivision. He figures that the streets and common area will take up about 35% of this o
lys-0071 [83]
There are 43560 SF in an acre first you want to find the total SF witch is 43560x25=1089000 SF. also the common area will take up about 35% of the overall area so do .35x1089000=381,150 and subtract that from the overall SF witch gives you 707,850 then divide this by 25000 SF for the total number of lots that the developer can have on this property witch is 28 or 28.3 rounded to the tenths.

5 0
4 years ago
A pile of coins, consisting of quarters and half dollars, it worth $11.75. If there are 2 more quarters than half dollars, how m
lord [1]
Let the number of half dollars be x,

number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17

There are 17 quarters and 15 half dollars.
3 0
4 years ago
Use synthetic division to solve (4x^3-3x^2+5x+6)/(x+6).what is the quotient
ladessa [460]

Answer:

The quotient= 4x^2-27x+167.

Step-by-step explanation:

Given

Dividened= 4x^3-3x^2+5x+6

Divisor=x+6

In synthetic division : Put denomerator is equal to zero.

Put x+6=0

x=-6

Put -6 in division box as a divisor.

Coefficient of x^3=4

Coefficient of x^2=-3

Coefficient of x=5

Constant value=6

Put the coefficient of x^3,x^2,x and constant in descending order of power of x in  division problem.

Now ,bring the coefficient of x^3 is 4  straight down .

Now, multiply the numbe -6 in the division box with the number 4 brought down and put the result -24  below the number - 3 of next column.

By adding we get -27 and  write result in the bottom of row .

Again ,the number -6 multiply with -27 and put the result=162 below the number of next column.

By adding two number together we get 167 and put the result in the bottom of row.

Again, the number -6 in division box multiply with  the number 167 and put the result=1002 below the number of next column.

Adding two number together we get 1008 and write in the bottom of row.

Last number is remainder and then write the remainder  in fraction .

In quotient the power of x reduces by 1  from the numertor.

Hence, the quotient =4x^2-27x+167

Remainder=\frac{1008}{x+6}.

7 0
3 years ago
Read 2 more answers
Which ratio forms a proportion with 12/15?
r-ruslan [8.4K]

Answer 20/25

When they ask you about ratio, the easy way to reach an answer is by dividing the fraction, in this case if you divide 12 over 15, you'll get 0.8

The same way if you divide 20 over 25. Try yourself if you want to check

6 0
4 years ago
Read 2 more answers
What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

5 0
3 years ago
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