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saveliy_v [14]
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)?

Mathematics
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

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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
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