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3 years ago

Solve the equation for a.

Mathematics

2 answers:

Alexandra [31]3 years ago

8 0

Answer:

first one

Step-by-step explanation:

Pavel [41]3 years ago

6 0

Answer:

$\large\boxed{a=\dfrac{K}{4+9b}}$

Step-by-step explanation:

$K=4a+9ab\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\K=a(4+9b)\qquad\text{divide both sides by}\ (4+9b)\neq0\\\\\dfrac{K}{(4+9b)}=\dfrac{a(4+9b)}{(4+9b)}\\\\\dfrac{K}{4+9b}=a$

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If ( 5^w )( 5^x ) = 5^y / 5^z , what is z in terms of w, x and y?

nevsk [136]

Answer:

Step-by-step explanation:

5^(w+x)=5^(y-z)

w+x=y-z

z=y-w-x

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2 years ago

A 270 $ suit is marked down by %.20 Find the sale price.

Bond [772]

Answer:

$216

Step-by-step explanation:

Do $\frac{20}{100}$ = 0.2. Now you do 270 x 0.2, which equals 54. Finnaly you do 270-54, which equals 216. So now you have your answer.

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2 years ago

Find the exact volume of a waffle ice cream cone with a 9-in. diameter and a height of 15 inches.

boyakko [2]

The volume of a cone is:

$V_{cone}=\dfrac{1}{3}\pi r^2h,$ where r is base's radius, h is cone's height.

If diameter is 9 in, then radius is 4.5 in and

$V_{cone}=\dfrac{1}{3}\pi (4.5)^2\cdot 15=101.25\pi.$

Answer: $V_{cone}=101.25\pi.$

7 0

3 years ago

Pls do this one i have quiz at this so ya pla do it i only have 20 minutes pls

steposvetlana [31]

Answer:

Answers for the question

(1.)320cm3 (2.)144cm3. (3.)330cm3. (4.)160cm3.(5.)336cm3. (6.)1440cm3. (7.)7500cm3. (8.)20000. (9.)1500000

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5 0

2 years ago

At Otto’s egg farm, Otto has found that when he charges $0.05 per egg, he sell so many eggs that he cannot keep up with the dema

PilotLPTM [1.2K]

Answer:

a) P(c) = xc² + yc + z, and P(.15) = $124, P(.05) = 0, P(.17) = 0. Thus:

(#1) .0225x + .15y + z = 124

(#2) .0025x + .05y + z = 0

(#3) .0289x + .17y + z = 0

Subtracting #2 from #3: (#4) .0264x + .12y = 0

Subtracting #2 from #3: (#5) .02x + .1y = 124

Subtracting 1.2×#5 from #4: .0024x = -148.8 → x= -62000

Using this value of x in #5: -1240 + .1y = 124 → y = 13640

Using x and y in #1: -1395 + 2046 + z = 124 → z = -527

P(c) = -62000c² + 13640c - 527

b) To find the maximum of P(c), find a such that P'(a) = 0

-124000c + 13640 = 0

c = .11

At this price, his profit would be $223.20

3 0

2 years ago