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Andrew [12]
3 years ago
6

a moving sidewalk at an airport moves at a rate of 1.2 ft / SEC. Walking on the moving sidewalk, a person travels 106 ft Ford an

d the time it takes to travel 53 ft in the opposite direction. How fast would a person be walking on a non-moving sidewalk?​
Mathematics
1 answer:
Digiron [165]3 years ago
8 0

A moving sidewalk at an airport moves at a rate of 1.7 ft/sec. Walking on the moving sidewalk, a person travels 104 ft forward in the time it takes to travel 52 ft in the opposite direction.

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Alex scored 70% in a spelling test with 20 quetions
amm1812

Answer:

This means that Alex answered 14 questions correctly

Step-by-step explanation:

<u>Step 1:  Find an equation</u>

20 * 0.7 = x

<u>Step 2:  Multiply</u>

20 * 0.7 = x

14 = x

Answer:  This means that Alex answered 14 questions correctly

5 0
3 years ago
Read 2 more answers
Examine the following system of inequalities.
lubasha [3.4K]

Answer:

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

Step-by-step explanation:

we have

y > -x+4 ----> inequality A

The solution of the inequality A is the shaded area above the dotted line y=-x+4

The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)

and

y \leq -(1/2)^{x} +6 -----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-(1/2)^{x} +6

The solid line passes through the points (0,5) and (-2,2)

therefore

The solution of the system of inequalities is the shaded area between the dotted line and the solid line

see the attached figure

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

7 0
3 years ago
When 43,55 and 67 are divided by a certain number, the remainder is 7 in each case. Find the number? ​
siniylev [52]

Answer:

12

Step-by-step explanation:

First subtract 7 from 43, 55 and 67

43 - 7 = 36 ;  55 - 7 = 48  ;  67 - 7 = 60

Now find the GCF of 36 , 48 , 60

36 = 2 * 2 * 3 * 3

48 = 2 * 2 * *2*2 * 3

60 = 2 * 2 * 3 * 5

GCF = 2 * 2 * 3 = 12

The required number is 12

When you divide 43 by 12, the remainder is 7.

When you divide 55 by 12, the remainder is 7

When you divide 67 by 12, the remainder is 7

5 0
3 years ago
Problem 1
KonstantinChe [14]

Answer:

The hypotenuse measures 8.48 meters.

Step-by-step explanation:

Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:

6 ^ 2 + 6 ^ 2 = X ^ 2

36 + 36 = X ^ 2

√ 72 = X

8.48 = X

Therefore, the hypotenuse measures 8.48 meters.

7 0
3 years ago
Find a polynomial of degree 3 with real cofficients and zeros of -3,-1,4 for which f(-2)=24​
konstantin123 [22]

\bf \textit{zeros at } \begin{cases} x = -3\implies &x+3=0\\ x = -1\implies &x+1=0\\ x = 4\implies &x-4=0 \end{cases}\qquad \implies (x+3)(x+1)(x-4)=\stackrel{y}{0} \\\\\\ (x^2+4x+3)(x-4)=0\implies x^3~~\begin{matrix}+ 4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+3x~~\begin{matrix} -4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-16x-12=0 \\\\\\ x^3-13x-12=0

we know that f(-2) = 24, namely when x = -2, y = 24, let's see if that's true

\bf x^3-13x-12=y\implies \stackrel{x = -2}{(-2)^3-13(-2)-12}=y \\\\\\ -8+26-22=y \implies 6=y

darn!! no dice.... hmmmm wait a second.... 4 * 6 = 24, if we could just use a common factor of 4 on the function, that common factor times 6 will give us 24, let's check.

\bf 4(x^3-13x-12)=y\implies \stackrel{x = -2}{4[~~(-2)^3-13(-2)-12~~]}=y \\\\\\ 4[~~-8+26-22~~]=y\implies 4[6]=y\implies 24=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 4x^3-52x-48=y~\hfill

4 0
4 years ago
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