MATHEMATICS HIGH SCHOOL

Can you please help my brother !!!!!!

Answers

Answer 1

Answer:

Answer:

5/4 = 5/8 times 2

16/5 = 8 times 2/5

9 and 8 the last two

Step-by-step explanation:

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Mary has 18 coins with a total value of $2.85. If the coins are dimes and quarters,how many of each type of coins does Mary have

Answers

$x-dimes\ny-quarters\n\n \left\{\begin{array}{ccc}x+y=18\n0,1x+0.25y=2.85&/\cdot(-10)\end{array}\right\n+\left\{\begin{array}{ccc}x+y=18\n-x-2.5y=-28.5\end{array}\right\n------------\n.\ \ \ \ \ \ -1.5y=-10.5\ \ \ \ /:(-1.5)\n.\ \ \ \ \ \ \ \ \ \ \ \ \ y=7\n\nx+7=18\nx=18-7\nx=11\n\nAnswer:11\ dimes\ and\ 7\ quarters$

Let's say x represents the number of dimes and y represents the number of quarters.

Note: A dime is worth 10 cents and a quarter is worth 25 cents. Therefore, their coefficients would be 0.1 and 0.25 (you must divide them by 100, since 1 dollar = 100 cents).

Now you can set up a system of equations and solve by substitution.

x + y = 18
0.1x + 0.25y = 2.85

In order to substitute, you have to solve for one of the variables in terms of the other. This will be easiest to do with the first equation.

x + y = 18
y = 18 - x

Now, substitute in that value of y into the second equation.

0.1x + 0.25(18 - x) = 2.85

Now, you can solve for x.

0.1x + 4.5 - 0.25x = 2.85
- 0.15x = -1.65
x = 11

You have 11 dimes.

Now you can substitute that value into your original first equation.

(11) + y = 18
y = 7

You have 7 quarters.

Answer: 11 dimes and 7 quarters

Simplify the given expression below: (4 + 2i) − (1 − 7i) 5 − 5i 5 + 9i 3 + 9i 3 − 5i

Answers

The best way to think of complex numbers is through x and y coordinates, if a number is just on its own (real) think of it as the x ordinate. Conversely if the number is say 2i (imaginary), just think of it as the y=2.
So 4+2i - (1-7i) = 4+2i-1+7i = (4-1) + i(2+7) = 3 +9i
That can be though of as (3,9). A complex number is just two separate real numbers, a real part and an imaginary part.

The value of the complex expression will be 3 + 9i. Then the correct option is C.

What is a complex number?

The complex number is the combination of the real part and the imaginary part.

Then the complex number is given as

⇒ a+bi

The complex expression is given below.

⇒ (4 + 2i) and (1 − 7i)

Then the difference between the complex number will be

⇒ (4 + 2i) - (1 - 7i)

Simplify the complex expression, then the complex expression will be

⇒ (4 + 2i) - (1 - 7i)

⇒ 4 + 2i - 1 + 7i

⇒ 3 + 9i

The value of the complex expression will be 3 + 9i.

Then the correct option is C.

More about the complex number link is given below.

brainly.com/question/10251853

#SPJ5

True or False? k= 1 is a solution to the inequality 9k + 5 > 18. True or False

Answers

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation:

Which is the expanded form of 3.69?

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The expanded form for 3.69 is 3+0.6+0.09. How you do that is because the three is a whole number so it stays a whole number, the 6 is in the tenths spot and so it would be 0.6 because that is counting tenths. The 9 is in the hundredths spot so it has to be in expanded form as hundredths. And 2 spots over is hundredths so that is how you get that 9 in expanded form.

$3.69=3+0.6+0.09$

You have 5,814 feet of rope that you need to cut into 27-foot sections. How many sections of rope will you have?a. 215 sections with 8 feet left over
b. 215 sections with 9 feet left over
c. 218 sections with 3 feet left over
d. 215 sections with 3 feet left over

Answers

The answer is d. 215 sections with 3 feet left over

To calculate this, divide the length of the rope (l1) by the length of the section (l2).
n - number of sections

n = l1/l2
l1 = 5,814 ft
l2 = 27 ft

n = 5,814 / 27 = 215.3 sections
215.3 sections can be written as 215 (whole) sections with 3 ft left over.

Factor the trinomial below 12x^2-11x-36

Answers

The factors of the trinomial are $(4x-9)(3x+4)$ .

What is a trinomial?

A trinomial is an algebraic expression that has three non-zero terms. If three monomials are separated by addition or subtraction, then it is a trinomial.

For the given situation,

The trinomial is 12x^2-11x-36.

The given trinomial is a quadratic equation.

The quadratic equation can be factored as

⇒ $12x^2-11x-36$