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3 years ago

10

A formula for finding the area of a rectangle is A=l⋅w. If you know the area (A) and length (l) of a rectangle, which formula ca

n you use to find the width (w)?

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

The last one right

Step-by-step explanation:

Divide by L both sides

nexus9112 [7]3 years ago

5 0

Answer:

A/l=w

Step-by-step explanation:

Area divided by length equals width, because the multiplication of width * length can be reversed or undone by division of Area and length or Area and width to find the unknown factor

You might be interested in

Factor the polynomial expression 8x2 + 2.

AnnZ [28]

Answer:

2(4x^2+1)

Step-by-step explanation:

The greatest common factor of 8x^2 and 2 is 2.

We can factor:

2(4x^2+1)

How did we get the expression in the parentheses?

It is just 8x^2 divided by 2 and 2 divided by 2

Hope this helps!

8 0

3 years ago

Factorise polynomial<br> 27y3 + 125z3<br><br>

tresset_1 [31]

Answer:

$27y^{3} +125z^{3} =(3y)^{3} +(5z)^{3}$

Apply the formula for sum of cubes: $a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})$

Therefore:

$\left(3y\right)^3+\left(5z\right)^3=\left(3y+5z\right)\left(3^2y^2-3\cdot \:5yz+5^2z^2\right)$

$=\left(3y+5z\right)\left(9y^2-15yz+25z^2\right)$

6 0

3 years ago

Students have organized

Olenka [21]

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours Elijah will be behind Mercedes

Part C. In more than 2.5 hours Elijah will be ahead Aubrey

Step-by-step explanation:

D = distance

v =speed

t = time

Formula connecting D, v and t:

$D=v\cdot t$

Part A.

Steve's speed: $v=3.5\ mph$

Distance: at least 21 miles

Time: unknown, so

$3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6$

It would take Steve at least 6 hours to walk at least 21 mi on Day 1.

Part B.

Mercedes's speed: $v_M=2.4\ mph$

Elijan's speed: $v_E=3.2\ mph$

Elijan's Distance walked: $D_E$ miles

Mercedes's Distance walked: $D_M$ miles

Time: x hours

Mercedes is 2 miles ahead, so

$D_E=3.2x\\ \\D_M=2.4x+2$

Elijan will be behind when

$D_E$

In 2.5 hours Elijan will catch up Mercedes, and in less than 2.5 hours Elijah will be behind Mercedes.

Part C.

Aubrey's speed: $v_M=3\ mph$

Elijan's speed: $v_E=3.2\ mph$

Elijan's Distance walked: $D_E$ miles

Aubrey's Distance walked: $D_A$ miles

Time: x hours

At the beginning of Day 3, Elijah starts walking at the marker for Mile 42, and Aubrey starts walking at the marker for Mile 42.5.

$D_E=42+3.2x\\ \\D_A=42.5+3x$

Elijan will be ahead of Aubrey when

$D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours$

In 2.5 hours Elijan will catch up Aubrey, and in more than 2.5 hours Elijah will be ahead Aubrey.

4 0

3 years ago

M more than nineteen

Gnesinka [82]

M is the variable: M
More than is addition: +
Nineteen is the number: 19
The equation is: m+19

6 0

3 years ago

At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

ankoles [38]

Complete Question

A recent study found that hourly wages earned by employees possessing a master's degree are distributed normally with a mean of $27.50 and standard deviation of $3.50

At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all

employers. If we interpret their claim as a percentile, what hourly wage must they offer employees with master's degrees?

Answer:

The value is $x = \$31.986$

Step-by-step explanation:

From the question we are told that they paid master's graduates more than 90% of all

Generally from the z-table the z-score for 90% is $z = 1.282$

This z-score can be mathematically represented as

$z = \frac{x - \mu }{\sigma}$

Here x is the hourly wage they offer employees with master's degrees

substituting $27.50 for $\mu$ and $3.50 for $\sigma$ we have

$1.282 = \frac{x - 27.50 }{3.50}$

=> $x = \$31.986$

3 0

3 years ago