1. Name 4 technologies that have helped America develop into a powerful country.

lyudmila [28]

Let's simplify step-by-step.7x−6y+3x+3y−3=7x+−6y+3x+3y+−3Combine Like Terms:=7x+−6y+3x+3y+−3=(7x+3x)+(−6y+3y)+(−3)=10x+−3y+−3Answer:=10x−3y−3

3 0

3 years ago

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an aviary places an order for 75 pounds of bird seeds. the order is filled by mixing different kinds of seeds from Bin A Bin B a

Alex73 [517]

Where are the options?

6 0

3 years ago

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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

An earthquake with a magnitude of about 2. 0 or less is called a microearthquake. It is not usually felt. The intensity of an ea

Alecsey [184]

The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of an a standard earthquake .

<h3>What is magnitude of earthquake?</h3>

Magnitude of earthquake is the measure of the size of origin of the earthquake. The magnitude of the earthquake keeps the same value for each place.

An earthquake with a magnitude of about 2. 0 or less is called a micro-earthquake and not felt usually.The intensity of an earthquake with a magnitude of 2.

Let the intensity of this earthquake is n times greater than the intensity of an a standard earthquake. Thus the intensity of standard earthquake can be given as,

$n=10^2\\n=100$