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2 years ago

5

A map has a scale of 3 in. = 16 mi. If you measured the distance between two cities to be 23 in. on the map, how many miles woul

d it actually be?

1 answer:

Scrat [10]2 years ago

8 0

Answer:

122.667

Step-by-step explanation:

23/3=7.667

7.667*16=122.667

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Given this rectangular prism with length

34kurt

Answer: width = 36 m

Step-by-step explanation:

Width = Volume / (height x length)

Width = 13500 / (25 x 15)

= 13500/375

= 36 m

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2 years ago

Rewrite each problem so that x appears on only one side

Vlad1618 [11]

Answer:

x = -5/21

Step-by-step explanation:

Step 1: Write equation

2(12x - 1) = (21x - 49)/7

Step 2: Solve for <em>x</em>

Multiply both sides by 7: 14(12x - 1) = 21x - 49
Distribute 14: 168x - 14 = 21x - 49
Subtract 21x on both sides: 147x - 14 = -49
Add 14 to both sides: 147x = -35
Divide both sides by 147: x = -5/21

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2 years ago

−5 1/5÷(2/3) help plz

navik [9.2K]

Answer:

−5 1/5÷(2/3)≈-7.8

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2 years ago

If f(x-3)=x^2-4x+5, what's f(1-x)

olganol [36]

Answer:

$\large\boxed{f(1-x)=x^2-4x+5}$

Step-by-step explanation:

$f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2$

$f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5$

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3 years ago

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

lapo4ka [179]

Answer:

h(t) = -5t + 500

Step-by-step explanation:

At time zero, the elevator is at 500 ft.

At time 5 seconds, the elevator is at 475 ft.

The difference in height is -25 ft.

The elevator traveled -25 ft (25 ft down) in 5 seconds, so it travels at a speed of 5 ft per second. Since it is traveling down, its speed is -5 ft/sec.

For each second of travel, it loses 5 ft of height.

h(t) = -5t + 500

7 0

2 years ago