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2 years ago

14

On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What i

s the map's scale? 1 inch = ______ miles

1 answer:

ZanzabumX [31]2 years ago

3 0

Answer:

9

Step-by-step explanation:

$54 \div 6 = 9$

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What is the perimeter of a square with a side whose length is x + 4?

Novosadov [1.4K]

Answer:

4x+16

Step-by-step explanation:

Just multiply x and 4 by 4 to get your answer.

4 0

2 years ago

Doing multi step equations:<br><br> 2k - 4 = 2 + k

Marysya12 [62]

2k - 4 = 2 + k
(Subtract both sides by k)
k - 4 = 2
(Add both sides by 4)
k = 6

8 0

2 years ago

The path of a volley ball thrown over a net is modeled with the function A(x) = -0.02x2 + 0.6x + 5, where x is

LiRa [457]

Answer:

The ball travel horizontally 37 feet before it hits the ground

Step-by-step explanation:

we have

$A(x)=-0.02x^2+0.6x+5$

where

x ----> is the horizontal distance in feet

A ---> is the altitude of the ball, in feet.

we know that

When the ball hit the ground, the altitude of the ball is equal to zero

so

For A(x)=0

$-0.02x^2+0.6x+5=0$

solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.02x^2+0.6x+5=0$

so

$a=-0.02\\b=0.6\\c=5$

substitute in the formula

$x=\frac{-0.6\pm\sqrt{0.6^{2}-4(-0.02)(5)}} {2(-0.02)}$

$x=\frac{-0.6\pm\sqrt{0.76}} {-0.04}$

$x=\frac{-0.6\pm0.87} {-0.04}$

$x=\frac{-0.6+0.87} {-0.04}=-6.75$

$x=\frac{-0.6-0.87} {-0.04}=36.75$

therefore

The ball travel horizontally 37 feet before it hits the ground

3 0

3 years ago

f each bowl of ice cream creates a profit of $0.35, what could be the profit made from the 3/4 of a gallon of ice cream?

WINSTONCH [101]

Answer:

$4.2

Step-by-step explanation:

<u>Full question is:</u>

<em>At an ice cream social, 3/4 of a gallon of ice cream is split into bowls, each containing 1/16 of a gallon of ice cream. How many bowls of ice cream can be made? </em>
<em>If each bowl of ice cream creates a profit of $0.35, what could be the profit made from the 3/4 of a gallon of ice cream?</em>

<h3>Solution</h3>

<u>Number of bowls is:</u>

3/4 ÷ 1/16 = 3/4*16 = 12 bowls

<u>Profit made:</u>

12*$0.35 = $4.2

3 0

2 years ago

I need help with this

vfiekz [6]

Answer:

Volume = 14.5 cm³

Step-by-step explanation:

Volume of cone = $\pi r^2\frac{h}{3}$

<u><em>Where r = 2 and h = 3.46</em></u>

Volume = $(3.14)(2)^2\frac{3.46}{3}$

Volume = (3.14)(4)(1.15)

Volume = 14.5 cm³

8 0

2 years ago