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2 years ago

HW1

Mathematics

1 answer:

katrin2010 [14]2 years ago

5 0

Answer:

He is incorrect. The true greatest common factor is 8.

Step-by-step explanation

Although 4 is a factor of both numbers, 32 and 8 can both be factorized (multiplied) by 8 to have the given numbers as an outcome.

Ex. 4 * 8 = 32 ; 8 * 1 = 8

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a rectangular blue tile has a length of 4.25 inches and a width of 6.75 inches. a similar tile has a length of 12.75 inches.what

Iteru [2.4K]

Answer:

The width of the red tile would be $2.25$ inches.

Step-by-step explanation:

Given blue tile has a length of $4.25$ inches, and a width of $6.75$ inches.

Also, length of similar tile is $12.75$ inches.

Let us assume $x$ as the width of red tile.

It is given in the question that both tiles are similar.

So, their area will be the same.

Area of blue tile would be $4.25\times 6.75=28.6875\ inch^2$

Area of red tile would be $12.75\times x$

The area of blue tile would be equal to area of red tile.

$28.6875=12.75\times x$

$\frac{28.6875}{12.75}=x\\\\x=2.25$

So, the width of the red tile would be $2.25$ inches.

5 0

2 years ago

A baseball team is in second place with the wind to loss ratio of .535. what percent of the games played did the team win?

Vsevolod [243]

Answer:

34.85%

Step-by-step explanation:

Let w be the probability of winning, then probability of losing would be (1 - w)

We know the ratio of winning to losing is 0.535

w/(1 - w) = 0.535

w = 0.535 - 0.535w

1.535w = 0.535

w = 0.348534202

% of games won:

0.348534202 × 100

34.8534202%

4 0

2 years ago

5x + 3y = 7<br> 4x + 5y = 3<br> How do I solve

wel

Answer:

9x+8y

Step-by-step explanation:

first you would take your liked terms and combine them.

1. 5x+4x=9x

2. 3y+5y=8y

3 0

2 years ago

Read 2 more answers

Estimate the amount of gas left in this cars gas tank with a fraction

Rufina [12.5K]

It looks a little less than 1/2 or 4/8, so probably 3/8 of the gas is left.

3 0

2 years ago

Select the correct answer.

Radda [10]

Answer:

$(-1\frac{1}{3}, 4\frac{3}{5})$

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = $m = \frac{rise}{run} = \frac{2}{1} = 2$

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = $m = \frac{rise}{run} = -\frac{3}{1} = -3$

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

$x = \frac{6}{-5} = -1\frac{1}{5}$

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

$y = -3\frac{-6}{5} + 1$

$y = \frac{18}{5} + 1$

$y = \frac{18 + 5}{5}$

$y = \frac{23}{5}$

$y = 4\frac{3}{5}$

✅The exact solution would be: $(-1\frac{1}{3}, 4\frac{3}{5})$

3 0

2 years ago