All categories

3 years ago

What is the value of x? x over 4 equals 14 over 16 x =

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

8 0

The answer is 3.5. use cross product multiplication

Stolb23 [73]3 years ago

4 0

So first let's set up the equation.
x/4 = 14/16
Now to find the value of x, we cross-multiply. So
x · 16 = 14 · 4
Now we get
16x = 56
To find x we need to get x by itself on one side. To do this we divide 16 on both sides of the equation
16x/16 = 56/16
Simplify and we get
x = 7/2 or 3.5
Hope I helped!

You might be interested in

Correct answer will get brainliest!! A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume?

lapo4ka [179]

Answer:720
Explanation:
Volume= lwh, 8•9•10= 720

8 0

2 years ago

Read 2 more answers

What is the following quotient?

seropon [69]

Answer: Choice B) $\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\$

==========================================

Work Shown:

$\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\$

This shows why choice B is the answer.

---------------

Explanation:

In the second step, I multiplied top and bottom by $(\sqrt{11}+\sqrt{3})$
This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.

So in general, if the denominator is $\sqrt{a}-\sqrt{b}$ and you want to rationalize the denominator, then you should multiply top and bottom by $\sqrt{a}+\sqrt{b}$ . The same applies in reverse as well.

This leads to the denominator becoming $(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b$

Keep in mind that $a \ge 0$ and $b \ge 0$

4 0

2 years ago

Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office,

avanturin [10]

Answer:

2 inches

Step-by-step explanation:

Since his actual height was 4 feet and 2 inches, instead of the estimate of 4 feet, the difference was 2 inches.

This means the error in inches was also 2 inches, since the estimated height was 2 inches lower than the one at the doctor's office.

So, the error is 2 inches

5 0

3 years ago

The aorta is the largest artery in the human body. In the average adult, the aorta attains a maximum diameter of about 1.18 inch

Sholpan [36]

Well we know that 1 inch is 2.54 cm. But how wide is .18? Lets do .18 x 2.54 to get 0.4572. Now lets add 2.54 + 0.4572 to get 2.9972. This means that the maximum width of the aorta is 2.9972 cm. Hope this helped :)

3 0

3 years ago

How do you write four million, six hundred five thousand in standard form

natima [27]

Your answer will be 4,605,000

7 0

2 years ago

Read 2 more answers