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3 years ago

The scale on a map is 1 inch = 60 miles. If two cities are 2 3/4 inches apart on the map, how many miles are they apart?

Mathematics

2 answers:

Alika [10]3 years ago

8 0

Answer:

120.75 miles apart

Step-by-step explanation:

vredina [299]3 years ago

5 0

It would have to be 120.75

You might be interested in

Simplify <br> 7.2x10^3/1.8x10^7

spayn [35]

To simplify and solve this equation we must follow PEMDAS.

P=Parentheses

E=Exponents

M=Multiplication (from left to right)

D=Division (from left to right)

A=Addition

S=Substraction

We begin the process.

10^3=1000

10^7=10000000

New equation looks like this:

7.2*1000/1.8*10000000

We then multiply

7.2*1000= 7200

7200/1.8=4000

4000*10000000= 40000000000

<em>So our final answer is 40000000000.</em>

Hope this helps!

P.S. I forgot this was scientific notation and I solved it a different way. But both ways give the same answer. Let me know if you want the other method.

3 0

3 years ago

Place is highest to lowest 3/4 84% 1/3 0.82

sesenic [268]

ANSWER

84%,0.82,¾,⅓

EXPLANATION

Convert everything to decimals.

$\frac{3}{4} = 0.75$

$84\% = 0.84$

$\frac{1}{3} = 0.333....$

The last one is already in decimals.

$0.82$

We can now see clearly, that

$0.84 \: > \: 0.82 \: > \: 0.75 \: > \: 0.3333...$

This implies that,

$84\% \: > \: 0.82 \: > \: \frac{3}{4} \: > \: \frac{1}{3}$

Hence from highest to least, we have

84%,0.82,¾,⅓

4 0

4 years ago

If someone could help me out with this, I would greatly appreciate it!!

kati45 [8]

We are given that revenue of Tacos is given by the mathematical expression $-7x^{2}+32x+240$ .

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

$-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\$

Therefore, correct option for part (B) is the third option.

(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.