Ask question

Ask question

All categories

2 years ago

14

lisa is painting a fence that is 26 feet long and 7 feet tall. a gallon of paint will cover 350 aquare feet. write and slove a p

roportion to determine how many gallons of paint lisa will neeed

1 answer:

vaieri [72.5K]2 years ago

4 0

The fence is 26*7=182 square feet. 1 gallon is enough for 350 square feet and x for 182 square feet. => x=182/350=0.52 gallons. I hope I'm right.

You might be interested in

What is the coefficient of x2y3 in the expansion of (2x + y)5?

Zigmanuir [339]

Option C:

The coefficient of $x^{2} y^{3}$ is 40.

Solution:

Given expression:

$(2 x+y)^{5}$

Using binomial theorem:

$(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}$

Here $a=2 x, b=y$

Substitute in the binomial formula, we get

$(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}$

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}$

$$+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}$

Let us solve the term one by one.

$$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}$

$$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y$

$$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}$

$$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}$

$$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}$

$$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}$

Substitute these into the above expansion.

$(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}$

The coefficient of $x^{2} y^{3}$ is 40.

Option C is the correct answer.

5 0

2 years ago

The math club is sponsoring a bake sale.If their goal is to raise at least $200,how many pies must they sell at $4.00 each in or

Tems11 [23]

The math club must sell 50 pies in order to reach the goal of 200 dollars

4 0

3 years ago

The number of pens used varies directly with the number of pieces of paper needed. If 12 pens are used when 40 pieces of paper a

svetlana [45]

Answer:

Step-by-step explanation:

Y=KX

P=KX

12=K40

12/40=K

.3=K

P=.3X

P=.3(240)

P=72

6 0

2 years ago

Joann has a jug containing 128 ounces of milk. She drinks 14 ounces of milk each day. Enter the function f(x) that represents th

Tatiana [17]

Answer:

$f(x)=128-14x$

Step-by-step explanation:

So, we started out with 128 ounces of milk.

Each day, Joann drinks 14 ounces of milk.

Therefore, the amount of milk left over after x days is 14 times x subtracted from 128.

Therefore, our function is:

$f(x)=128-14x$

And we're done!

6 0

3 years ago

What is 25 times 25?

nikdorinn [45]

Answer:

625 is the answer!!!!!!!!

5 0

3 years ago