A father and his young toddler are walking along the sidewalk. For every 3 steps
the father takes, the son takes 5 steps just to keep up. What is the ratio of
the number of steps the father takes to the number of steps the son takes? Add
labels to the columns of the table and place the ratio into the first row of
data. Add equivalent ratios to build a ratio table.

Answer:

x=4

or

x=-6

Step-by-step explanation:

did you know u can solve that equation on your calculator without much struggle?

Answer:

Step-by-step explanation:

= > x^2 + 2x - 24

= > x^2 + 6x - 4x - 24

= > x(x + 6) - 4(x + 6)

= > (x - 4) (x + 6)...ans

x = -6 , 4

Answer:

64.53

Step-by-step explanation:

56.213 rounds to 56.21

7.983 rounds to 7.98

0.344 rounds to 0.34

Next you do 56.21 + 7.98 + 0.34 = 64.53

All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.

Here the numbers are,

56.213

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

56.21

7.983

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

7.98

0.344

Since the value in the thousandth place is 4 which is less than 5.

Hence round the number down.

0.34

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Answer:

200%

Step-by-step explanation:

It increases by 3 times. Because 100% increase is a 2x increase, 200% will be a 3x increase. Therefore, your answer is 200%.

Answer:3333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given numbers:

Put the numbers in ascending order:

Since the set is even, the median is the average of the middle numbers:

Answer:

(2,2)

Step-by-step explanation:

Answer:

-(127/12)

Step-by-step explanation:

-23/4 -29/6 = -254/24

-254/24 = -127/12

Answer:

1221

Step-by-step explanation:

here you go ...........

Step-by-step explanation:

2 = 0.5^x - 4 is the same as

6 = 0.5^x

x is the logarithm of 6 to the base of 0.5.

which is the same as

log(6)/log(0.5) = -2.584962501...

Answer:

[tex]18^{4}[/tex]

Step-by-step explanation:

You multiply it by itself 4 times, therefore being 18 to the power of 4

Answer:

[tex]18^{4}[/tex]

Step-by-step explanation:

A power is simply how many times a number is multiplied by itself. Since the question is 18 multiplied by itself four times (count the number of 18s), the power is 4.

Answer:

C

Step-by-step explanation:

i hope you'll find these useful......

Answer:

C, quadrant IV

Step-by-step explanation:

The X (13) is positive meaning the point is on the right side of the graph, and Y (-6) is negative so it's below the x axis

Newton's first law of motion states that; An object continues to be in its state of rest or uniform motion unless acted upon by an external force in which case, it acts otherwise.

An example of this law is an orange placed on a table.

In essence, the orange continues in its state of rest unless acted upon by a force of push or otherwise by an individual or perhaps wind as the case may be.

Read. more;

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Answer:

597.6 Dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of hours worked:

Overtime hours:

Gross payment:

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer↓

Therefore, Evaluated form is 2/3.

Read more:

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Answer:

20x + 12y

Step-by-step explanation:

=> 4(5x + 3y)

=> 20x + 12y

Since we can't simplify this further, 20x + 12y is out answer.

Hoped this helped.

I wrote this on a document in my previous years in school.

Answer:

In the graph locate the point (3,0) and draw a line parrallel to Y-axis passing through (3,0) .

Then your line will cut the graph of f(x) at some point, that point's y-coordinate will be your value of f(3).

Step-by-step explanation:

Hope it helps!

Answer:

18

Step-by-step explanation:

you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18

Answer:

4

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] = [tex]\sqrt[3]{4*4*4}[/tex]=4

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Cada bomba trabaja a un rate (razon de trabajo) R.

Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:

(3R)*50 horas= 1 piscina.

R = (1 piscina)/(150 horas).

Es decir, una sola bomba tarda 150 horas en llenar una piscina.

En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.

5*((1 piscina)/(150 horas))*T = 1 piscina.

(1 piscina)/(30 horas)

Resolviendo para T, obtenemos:

T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.

Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:

30/8 = 3.75 ≈ 4 días.

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Sí quieres aprender más sobre razones de trabajo.

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Answer:

73.5 pounds of dog food in 7 days

Step-by-step explanation:

10 1/2 x 7

10x 7 =70

1/2 x 7 = 3.5

70 + 3.5 =73.5 pounds of dog food in 7 days

Answer:

y=-6x

Step-by-step explanation:

Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x

Answer:

y = 1/3x + 2

Step-by-step explanation:

Slope - Intercept Form = y = mx + b

y - intercept = b = 2 (point of intersection of the y-axis)

m = slope

Slope = Change in Y/Change In X

You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3

Equation : y = mx + b

Equation : y = 1/3x + 2

-Chetan K

Answer:

Step-by-step explanation:

Equation : y = mx + b

Equation : y = 1/3x + 2

Answer:

$0.46

Step-by-step explanation:

6 apples = $2.82

1 apple = 2.82 / 6

= $0.46

Answer:

1/10

Step-by-step explanation:

(3/5) - (1/2)

3/5 = 3*2/ 5*2 = 6/10

1/2 = 1*5/ 2*5 = 5/10

(6/10) - (5/10)

= (6-5) / 10

= 1/10

Answer:

b

Step-by-step explanation:

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

Answer:

[tex]n + (13 - 6) = 124[/tex]

[tex]n+13-6=124[/tex]

[tex]n+7=124[/tex]

[tex]n+7-7=124-7[/tex]

[tex]n=117[/tex]