All categories

3 years ago

Write an expression for the following. "The sum of a number and 12 times 4

Mathematics

1 answer:

andriy [413]3 years ago

7 0

Answer:

4(x + 12)

Step-by-step explanation:

The sum of a number and 12 indicates addition. Then, it says that this sum will be multiplied by 4. So, we can use x to represent this random number.

You might be interested in

A car travels 24 km in 15 minutes. How far does it travel in 1 and a half hours

VladimirAG [237]

Answer:

144 km

Step-by-step explanation:

1 hour and a half hour = 90 minutes.

In 15 minutes a car travels 24 km

In 1 minute a car travels (24÷15) = 1.6 km

In 90 minutes a car travels (90×1.6)= 144 km

Ans.- 144 km

4 0

3 years ago

Please solve the following sum or difference identity.

xxTIMURxx [149]

Answer:

$sin(A - B) = \frac{4}{5}$

Step-by-step explanation:

Given:

$sin(A) = \frac{24}{25}$

$sin(B) = -\frac{4}{5}$

Need:

$sin(A - B)$

First, let's look at the identities:

sum: $sin(A + B) = sinAcosB + cosAsinB$

difference: $sin(A - B) = sinAcosB - cosAsinB$

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = $\frac{24}{25}$

cos(A) = $\frac{7}{25}$

sin(B) = $-\frac{4}{5}$

cos(B) = $\frac{3}{5}$

Plug these values into the difference identity formula.

$sin(A - B) = sinAcosB - cosAsinB$

$sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})$

Multiply.

$sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})$

Add.

$sin(A - B) = \frac{4}{5}$

This is your answer.

Hope this helps!

6 0

3 years ago

Read 2 more answers

36" = _____° 0.01 0.10 0.50 0.60

Tresset [83]

Answer:

.01

Step-by-step explanation:

There are 3600'' in 1°. 36"/3600"= .01°

6 0

3 years ago

DOUBLE CHECKING: I got X=12, and you have to solve for measure K so I got k=42, is this correct? I’ll provide a picture and my e

iragen [17]

×=12

4×+7+6×+9=118

4×+6×=118*7+9

10×=120

×=120/10

3 0

3 years ago

What is the quotient of -8x^6/4x^-3?

olga nikolaevna [1]

Answer: $-2x^{9}$

Step-by-step explanation:

To find the quotient, you need to apply the Quotient of powers property. This is:

$\frac{a^m}{a^n}=a^{(m-n)$

Then given the expression $\frac{-8x^6}{4x^{-3}}$ you can apply the property mentioned before. Then you get:

$\frac{-8x^{(6-(-3))}}{4}$

You should remember the multiplication of signs:

$(-)(-)=+\\(+)(+)=+\\(-)(+)=-$

Therefore, simplifying the expression, you get that the quotient of $\frac{-8x^6}{4x^{-3}}$ is:

$-2x^{9}$

5 0

3 years ago