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4 years ago

Distributive property for 14x+21y+7z

Mathematics

1 answer:

irina [24]4 years ago

6 0

7(42y+z) is the answer I think

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2. A chemist has a 25% and a 50% acid solution. How

AnnZ [28]

Answer:

x is mL of 25% acid and y is mL of 50% acid

We set up 2 equations:

A) x + y = 250

B) .25 x + .50y = .35 * 250 which equals

B) .25x + .50y = 87.50 Multiplying A) by -.5

A) -.5x -.5y = -125 adding the equations we get

-.25x = -37.50

x = 150 mL

y = 100 mL

Source: http://www.1728.org/mixture.htm

Step-by-step explanation:

7 0

3 years ago

22. Find the perimeter and area.

zmey [24]

Answer:

Part 22) The area is $A=15a^3b^6\ units^2($ and the perimeter is $P=10a^2b^4+6ab^2\ unit$

Part 24) The area is $A=16m^3n\ units^2$ and the perimeter is $P=24mn\ units$

Part 26) The area is equal to $A=9\pi x^6y^{2}\ units^2$

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

$A=LW$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

$A=(5(a^2)(b^4))(3(a)(b^2))$

$A=15a^3b^6\ units^2$

step 2

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

substitute in the formula

$P=2(5(a^2)(b^4)+3(a)(b^2))$

$P=10a^2b^4+6ab^2\ unit$

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

$A=\frac{1}{2}bh$

where

$b=8mn\ units$

$h=4m^2\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

$A=\frac{1}{2}(8mn)(4m^2)$

$A=16m^3n\ units^2$

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

$P=3b$

where

$b=8mn\ units$

substitute

$P=3(8mn)$

$P=24mn\ units$

Part 26) Find the area

The area of a circle is equal to

$A=\pi r^{2}$

where

$r=3x^3y\ units$

Remember the property

$(a^{m})^{n}=a^{m*n}$

substitute in the formula the given value

$A=\pi (3x^3y)^{2}$

$A=9\pi x^6y^{2}\ units^2$

6 0

3 years ago

Ms. Wittenberg had a total of $220. She spent $11 at Dunkin' Donuts.

Sphinxa [80]

She spent 5% of her money

8 0

3 years ago

What is the answer to (x-4)-(-6+x) ?

Likurg_2 [28]

X - 4 +6 -x
x - x = -2

0 = -2

No solution

5 0

3 years ago

Read 2 more answers

Find the constant rate of change.

Aleonysh [2.5K]

Answer:

-1

Step-by-step explanation:

slope = y2-y1/x2-x1

(5,5) (7,3)

slope = 5-3/5-7 = 2/-2 = -1

3 0

3 years ago