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2 years ago

7

Express 5½:2½ as a ratio of whole numbers

1 answer:

seropon [69]2 years ago

6 0

Answer:

5.5:2.5

Step-by-step explanation:

this would be 5.5:2.5

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A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are th

Vaselesa [24]

Hypotenuse will be 4.05
Opposite will be 1.65

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3 years ago

Which of the following shows the prime factorization of 72 using exponential notation?

Luba_88 [7]

Answer:

2^3 .3^2

Step-by-step explanation:

if 2×2×2 = 8

and 3×3=9 then 8×9=72

6 0

3 years ago

Read 2 more answers

Pump 1 can empty a pool in 9 hours while Pump 2 can empty the same pool in 12 hours. If the two pumps worked together, how long

ruslelena [56]

Answer:

About 5 hr 10 min

Step-by-step explanation:

rate 1 = 1 pool / 9 hrs rate 2 = 1 pool / 12 hours

now find the time with both rates combined

1 pool / ( 1/9 + 1/12) = 1/ (7/36) = 36/7 hr = 5 1/7 hr = 5 hr 8.6 min

8 0

2 years ago

Solve the following system using substitution.

ziro4ka [17]

Answer/Step-by-step explanation:

3. By substitution method, let's substitute $\frac{2}{3}x- 4$ for y in the first equation.

Thus,

$\frac{1}{3}x + 2(\frac{2}{3}x- 4) = 1$

Solve for x

$\frac{x}{3} + \frac{4x}{3} - 4 = 1$

Add 4 to both sides

$\frac{x}{3} + \frac{4x}{3} - 4 + 4 = 1 + 4$

$\frac{x}{3} + \frac{4x}{3} = 5$

$\frac{x + 4x}{3} = 5$

$\frac{5x}{3} = 5$

Multiply both sides by 3

$\frac{5x}{3}*3 = 5*3$

$5x = 15$

Divide both sides by 5

$x = 3$

Now, substitute 3 for x in the equation.

$y = \frac{2}{3}x- 4$

$y = \frac{2}{3}(3) - 4$

$y = 2 - 4$

$y = -2$

The solution of the equation is x = 3, y = -2

4. Solving by elimination, let's try to eliminate the x-variable by adding both equation together.

$3x - 2y = 11$

$-3x - y = 4$

$-3y = 15$ => $(-3x +(-3x) = 0; -2y +(-y) = -3y; 11 + 4 = 15)$

Divide both sides by -3 to solve for y

$\frac{-3y}{-3} = \frac{15}{-3}$

$y = -5$

Substitute -5 for y in the first equation to find x

$3x - 2(-5) = 11$

$3x + 10 = 11$

Subtract 10 from both sides

$3x + 10 - 10 = 11 - 10$

$3x = 1$

Divide both sides by 3

$\frac{3x}{3} = \frac{1}{3}$

$x = \frac{1}{3}$

The solution is $x = \frac{1}{3}, y = -5$

8 0

3 years ago

Jason paid a $100 start-up fee for his

katen-ka-za [31]

Answer:

b

Step-by-step explanation:

6 0

3 years ago