Write the following ratio using two other notations.<br> 3 to 2

Which value is equivalent to

Ksenya-84 [330]

Answer:

$\frac{25}{144}$

Step-by-step explanation:

$(\frac{7 * 5 * 2}{7 * 3} )^2 * (\frac{5^0}{2^-3})^3 * 2^{-9}$

Simplified becomes;

$(\frac{10}{3})^2 * 2^3 * \frac{1}{2^9}$

Simplifying further gives; $\frac{25}{144}$

6 0

3 years ago

Find the equation of the line through (6,8) which is parallel to the line y=4x−6.

Ratling [72]

Answer:

$y=4x-16$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into $y=mx+b$ :

$y=4x+b$

<u>2) Determine the y-intercept (b)</u>

$y=4x+b$

Plug in the given point (6,8) and solve for b

$8=4(6)+b\\8=24+b$

Subtract 24 from both sides to isolate b

$8-24=24+b-24\\-16=b$

Therefore, the y-intercept of the line is -16. Plug this back into $y=4x+b$ :

$y=4x-16$

I hope this helps!

3 0

3 years ago

What is a number is less than 3000 and if divided by 32 the remainder is 30 and if divided by 58 the remainder is 44?

katovenus [111]

I think I know it. The number less than 3000 and if divided by 32 the remainder is 30 is 960.The number less than 3000 and if divided by 58 the remainder is 44 is 2552.

8 0

3 years ago

To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then s

inysia [295]

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

5 0

3 years ago

Last year Andrea's annual salary was A dollars and she was paid biweekly. This year she received a

Cloud [144]

Biweekly salary last year algebraically will be S = (27)A. Semimonthly salary this year algebraically will be S = ( A + R )6.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Last year, Andrea's annual salary was A dollar and she was paid biweekly. This year she received a raise of R dollars per year. She is now paid semimonthly.

Biweekly salary last year algebraically will be:-

S = (27)A.

Semimonthly salary this year algebraically will be:-

S = ( A + R )6.

Therefore, the biweekly salary last year algebraically will be S = (27)A. Semimonthly salary this year algebraically will be S = ( A + R )6.

To know more about expression follow

brainly.com/question/723406

#SPJ1

7 0

2 years ago

Write the following ratio using two other notations. 3 to 2