What is the solution to the equation?7(5 + 9) = 7 • x + 7 • 9

A.
x = 1

B.
x = 5

C.
x = 7

D.
x = 9

Answers

Answer 1

Answer: 35 + 63 = 7x + 63
35 = 7x
--- ---
7 7
x = 5

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Which strategies can be used to solve this problem?The candle factory made 1,200 candles per month in June and July and 1,345 candles per month in August and September. What is the total number of candles they made in four months?
Choose all answers that are correct.

A.Use logical reasoning.
Multiply 1,200 by 2 to figure out how many candles were made in June and July. Multiply 1,345 by 2 to figure out how many candles were made in August and September. Add the two numbers together to find the total number of candles made in four months.
B.Draw a diagram.
Draw two circles. In one circle write 1,200 and in the other circle write 1,345. Add the numbers in the circles together.
C.Work backward.
Divide 1,200 by 2 (for the 2 months, June and July). Then divide 1,345 by 2 (for the 2 months August and September). Add these two numbers.
D.Translate into an equation.
1,200 × 2 + 1,345 × 2 = c

Answers

you want total number made in 4 m onths, so adding all numbers is correct, but it is per 1 month, so multiply by 2

A because you need brain for most problems
D works

pick A and D

C/d+2=f/g solve for c

Answers

So if you want to solve for c, the best thing to do is isolate the variable. So I personally don't enjoy dealing with fractions that much until the very end, so I am going to multiple the entire equation by $d*g$ to eliminate the fraction. So now the equation is $cg+2dg=fd$ . In order to isolate the c variable, subtract both sides by $2dg$ , which makes it $cg=fd-2dg$ . Now divide both sides by g, $c=(fd-2dg)/(g)$ . So that's what c equals in terms of f, d and g.

Compare and contrast the absolute value of a real number to that of a complex number.

Answers

The absolute value of a real number is a positive value of the number. Which means that the absolute value is the distance from zero of the number line. However, that of the complex numbers is the distance from the origin to the point in a complex plane.

The definition of complex, real and pure imaginary number is as follows:

$A \ \mathbf{complex \ number} \ is \ written \ in \ \mathbf{standard \ form} \ as:\n \n \ (a+bi) \n \n where \ a \ and \ b \ are \ real \ numbers. \ If \ b=0, \ the \ number \ a+bi=a \n is \ a \ \mathbf{real \ number}. \ If \ b\neq 0, \ the \ number \ (a+bi) \ is \ called \ an \n \mathbf{imaginary \ number}. \ A \ number \ of \ the \ form \ bi, \ where \ b\neq 0, \n is \ called \ a \ \mathbf{pure \ imaginary \ number}$

The absolute value of this number is given by:

$|a+bi|=\sqrt{a^(2)+b^(2)}$

So, the absolute value of a complex number represents the distance between the origin and the point in the complex plane. On the other hand, the absolute value of a real number means only how far a number is from zero without considering any direction.

Which of the following is equivalent to 3a + 4b – (–6a – 3b) ? A. 16ab
B. –3a + b
C. –3a + 7b
D. 9a + b
E. 9a + 7b

Answers

$3a + 4b - (-6a - 3b) =3a + 4b +6a +3b = 9a +7b \n \n \n Answer : \ E. \ \ 9a + 7b$

What is the written form of the decimal number .954

Answers

Answer:

Nine hundred and fifty four thousandths.

Step-by-step explanation:

We have to write.954 in the written form. As, .954 is the decimal number and not the whole number therefore we have to mention "th" at the end of the written form. Whenever we have to write the decimal number is written form, just add "th" in the end..954 in written form can be written as:

Nine hundred and fifty four thousandth.

Nine hundred fifty-four thousandths.

How do you factorise 9y^2 - 64