If x=5 and the area of the rectangle is 30 what is the other length of the rectangle?

Answers

Answer 1

Answer:

Answer:

The other length would be 6.

Step-by-step explanation:

Rectangle area is l times height. So x is either the length for height. So we have 5 times x = 30. To find the other length we have to take 30/5 which equals 6

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Which mathematical term cannot be precisely defined?

4 x (22+5)
Simplify the expression.

Answers

Answer:

the simplified expression is 108x

Step-by-step explanation:

4x(22+5)

you can remove the parenthesis by multiplying 4x by everything inside of them.

4x * 22 + 4x * 5

88x + 20x

108x

Which line has a slope of 5/8 and goes through the point (8, 2)

Answers

The slope $m$ and a point $(x_(0),\;y_(0))$ that the line goes through, give us a equation for the line:

$y-y_(0)=m\cdot (x-x_(0))\n\n y-2=(5)/(8)\cdot (x-8)\n\n\n y-2=(5)/(8)\,x-(5)/(8)\cdot 8\n\n\n y-2=(5)/(8)\,x-5\n\n\n y=(5)/(8)\,x-5+2\n\n\n \boxed{\begin{array}{c} y=(5)/(8)\,x-3 \end{array}}$

Kyle has 125 marbles. Fifty of these marbles are red and the reat are other colors. What is the ratio of the nunber of red marbles to the total of marbles expressed in simplest terms?

Answers

Answer:

The required simplest form is: $(2)/(5)$

Step-by-step explanation:

We have been given Kyle has 125 marbles.

And 50 out of total 125 are red and rest of them are other colours

that means other colour marble are 125-50=75

we need to find ratio of the number of red marbles to the total of marbles

The ratio is: $(50)/(125)=(2)/(5)$

The required simplest form is: $(2)/(5)$

Answer:

Step-by-step explanation:

2/5

3 plus the product of 2 and h in algebraic expression

Answers

Answer:

3 + 2 · h = 3 + 2h

How is this high school math? What does product mean? It means multiplication is involved. the product of 2 and h is written as what? 2*h, or 2h. Now, we need to do 3 + that. Your answer is 2h+3.

Please help me with this (and my other questions) thanks

Answers

Answer:

Correct answer: V = 486 π ft³

Step-by-step explanation:

Given:

Diameter of the sphere d = 18 ft

d = 2 · r where r is radius

r = d / 2 = 18 / 2 = 9 ft

r = 9 ft

V = (2/3) · r³· π

V = (2/3) · 9³ · π = (2/3) · 729 · π = 486 π ft³

V = 486 π ft³

God is with you!!!

Which shows a perfect square trinomial?50y2 – 4x2
100 – 36x2y2
16x2 + 24xy + 9y2
49x2 – 70xy + 10y2

Answers

Answer:

C. $16x^2+24xy+9y^2$

Step-by-step explanation:

We have been given 4 expressions and we are asked to choose the expression that is a perfect square trinomial.

We know that a perfect square trinomial is in form: $a^2+2ab+b^2$ .

Upon looking at our given choices we can see that option C is the correct choice as we can write as:

$16x^2+24xy+9y^2=(4x)^2+2(4x\cdot 3y)+(3y)^2$

$16x^2+24xy+9y^2=(4x)^2+2(12xy)+(3y)^2$

$16x^2+24xy+9y^2=(4x)^2+24xy+(3y)^2$

Therefore, option C is the correct choice.

A perfect square trinomial is found in the expression where both the leading coefficients and the constant are both perfect squares. That only is the case with the third choice above. 16 is a perfect square of 4 times 4, and 9 is a perfect square of 3 times 3. We need to set it up into its perfect square factors and FOIL to make sure, so let's do that. Not only is 16 a perfect square in that first term, but so is x-squared. Not only is 9 a perfect square in the third term, but so is y-squared. So our factors will look like this:

(4x + 3y)(4x + 3y). FOIL that out to see that it does in fact give you back the polynomial that is the third choice down.

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