All categories

3 years ago

Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?

Mathematics

2 answers:

user100 [1]3 years ago

7 0

Answer:

$4\frac{3}{4}$ feet tall

Step-by-step explanation:

Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number $5\frac{1}{4}$ .

His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.

So, this is just a subtraction problem:

$5\frac{1}{4} -\frac{3}{8}$

To solve this, we want to convert 5 1/4 into an improper fraction, which is: $\frac{21}{4}$ . Now, we want to find a common denominator. In this case, that common denominator is 8, so $\frac{21}{4} =\frac{42}{8}$ .

Finally, we subtract 3/8 from 42/8: $\frac{42}{8} -\frac{3}{8} =\frac{39}{8}$ . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4 $\frac{6}{8} =4\frac{3}{4}$ .

Therefore, Ajax's sister is $4\frac{3}{4}$ feet tall.

Hope this helps!

lord [1]3 years ago

5 0

Answer:

4⅞ ft

4 and 7 eighths feet

Step-by-step explanation:

5¼ - ⅜

5¼ = 21/4

21/4 - 3/8

[21×2 - 3]/8

(42 - 3)/8

39/8

4 ⅞

You might be interested in

A cannon ball shoots out from a cannon that is 28 inches long at 2700 ft s. What is the

Reika [66]

Answer:

a = 1565217.39 ft / s ^ 2

t = 0.001725 seconds

Step-by-step explanation:

The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:

28 in * (1 ft / 12 in) = 2.33 ft

Now yes, we can continue, we have the following data:

vi = 0

vf = 2700 ft / s

the equations in this case are as follows:

vf = vi + a * t

vf = a * t

rearranging for a

a = vf / t (1)

now with the position equation we know that:

x = vi * t + (a * t ^ 2) / 2

x = (a * t ^ 2) / 2 (2)

now replacing (1) in (2), we are left with:

x = (vf / t) * (t ^ 2) / 2

knowing that x would be 2.33 ft, which is when the cannonball exits the cannon.

2.33 = 2700 * t / 2

t = 2.33 * 2/2700 = 0.001725 seconds.

and now replace in (1)

a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2

3 0

3 years ago

Which expression is equivalent to <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B10%20%7Bx%7D%5E%7B5%7D%

solong [7]

Answer:

$\frac{\sqrt[3]{5} }{3x}$

Step-by-step explanation:

6 0

3 years ago

The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 20

podryga [215]

Answer:

The linear equation is;

y = 320x + 7400

Step-by-step explanation:

Here, we want to write a linear equation that represents the population y at a year since 2005

To write this, we need points

Initially, we have (0,7400)

Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)

Mathematically, we can get the slope as follows;

m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320

The equation of the line can be represented using the general form as;

y = mx + b

where m is 320 and b is unknown

So we have the equation as;

y = 320x + b

we need to get b

To get b, we can use any point

let us use the point (0,7400)

substituting this;

7400 = 320(0) + c

c = 7400

so the equation is;

y = 320x + 7400

4 0

3 years ago

A line has the following equation: y=\frac{6}{7}x+5y=

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

I'm still not exactly sure what the question really is, but the level suggests that it is

y = (6/7)x + 5

Any line that is parallel to this line has a slope of 6/7

Any line that is perpendicular to this line is a little more complicated.

slope of given line * slope of perpendicular line = - 1

6/7 * perpendicular slope = - 1

Multiply by 7

6*perpendicular slope = - 7

Divide by 6

perpendicular slope = - 7/6

8 0

3 years ago

Calculate 41% 0f 51kg

vlabodo [156]

20.91

51 x 0.41 = 20.91

5 0

3 years ago

Read 2 more answers