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3 years ago

If one inch represents 65 on a map, then how many inches will represent 2,300 miles?

1 answer:

3 0

Use a ratio using consistent units. Let x = the unknown

1 inch/65 miles = x inches/2300 miles

then, x = 2300/65 = 35.38 inches

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Rewrite as a product of two factors: 3 + 18d + 21y

Vlada [557]

Answer:

the Expression is :

(3) × (1 + 6d + 7y)

Step-by-step explanation:

here's the solution : -

=》

$3 + 18d + 21y$

=》

$(3 \times 1 )+ (3 \times 6d) + (3 \times 7y)$

now, since 3 is common in all terms let's take it out.

=》

$3 \times (1 + 6d + 7y)$

=》so, ,we got the above expression as product of 3 and ( 1 + 6d + 7y ) as factors.

3 0

3 years ago

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This change will cause equilibrium Price and Quantity to

Annette [7]

C ) price Decrease and quantity decrease

6 0

3 years ago

Explain how you know which method you should use to solve a rational equation.

notsponge [240]

Methods to solve rational equation:

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

$\frac{1}{2}=\frac{x}{2}\Rightarrow x=1$

This can be used for rational equations with polynomials too.

For example,

$\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3$

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

$\frac{x+2}{8}=\frac{3}{4}$

$\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3$

$\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4$

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

$\frac{x+2}{8}=\frac{3}{4}$

Factors of 4: $1\times2\times2$

Factors of 8: $1\times2\times2\times2$

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

$\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}$

we get,

$\Rightarrow\frac{x+2}{8}=\frac{6}{8}$

On cancelling 8 on both sides we get,

$\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4$

Hence, these are the ways to solve a rational equation.

7 0

3 years ago

Mr. Johnson hired a contractor to build a small deck on the back of his house. The cost of materials alone added to $678.12. Whe

raketka [301]

Answer:

Yes, the bill is absolutely accurate

Step-by-step explanation:

Cost of materials= $ 678.12

Final bill amount(given)=$1206.12

Rate= $32 per hour for 16.5 hrs

Total amount for 32 hrs = time * rate = 16.5* 32=$528

Therefore, by the problem ,

Cost of materials+ Total amount for 32 hrs = Final bill amount

= 678.12+ 528

=1206.12

Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount

4 0

4 years ago

a square swimming pool is surrounded by a cement walkway with a uniform width.The swimming pool has a side length of (x-2) feet.

sasho [114]

$Area\ of\ the\ walkway = (x+1)^2$
$Area\ of\ the\ walkway = (x+1)^2 = (7+1)^2 = 8^2 = 64$

4 0

3 years ago

Read 2 more answers