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Mamont248 [21]
3 years ago
8

Solve for x x/4 = 3/8 Give your answer as an improper fraction in its simplest form.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

x =  \frac{3}{2}

Step-by-step explanation:

=  >  \frac{x}{4}   =  \frac{3}{8}  \\  \\  =  > x =  \frac{3}{8}  \times 4 \\  \\  =  > x =  \frac{3}{2}

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Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?
user100 [1]

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!

7 0
3 years ago
Read 2 more answers
A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and
Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

<h3>How to determine the equation</h3>

The equation is a secant function represented by

y =A\sec(Bt)

Where:

A represents the amplitude

So, we have:

A = 40 --- the distance of the light from each square wall

B represents the period, and it is calculated as:

B = \frac{2\pi}{T}

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

B = \frac{2\pi}{6}

Simplify

B = \frac{\pi}{3}

Substitute values for A and B in y =A\sec(Bt)

y = 40\sec(\frac{\pi}{3}t)

Rewrite as a function

d(t) = 40\sec(\frac{\pi}{3}t)

Hence, the equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0
2 years ago
Find the x- and y-intercepts of the equation.<br> 3x − 3y = 12
Romashka [77]
X=-4-y there you go enjoy

6 0
3 years ago
Solve the following equation: 96= -6( -4-3y)<br> a. y=2<br> b.y=4<br> c.y= -2<br> d. y=6
tankabanditka [31]
               96 = -6 * (-4 - 3y) <== It's easiest to solve when the y is on the right
                    ↓
-6 * (-4 - 3y) = 96                <== Multiply the -6 by everything inside the
                                           parentheses
                    <span>↓</span>
     24 + 18y = 96                <== Subtract the 24 from both sides
                    ↓
             18y = 72                <== Divide both sides by 18
                    ↓
                 y = 4 

The correct answer is choice B. y = 4.
Hope that helped =)
3 0
3 years ago
Read 2 more answers
Anyone know? If not it’s ok.
Nezavi [6.7K]

Answer:

sorry i dont

Step-by-step explanation:

6 0
3 years ago
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