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3 years ago

I need help can you help me my question is how do I multiply 27 1/8 x 2 1/9 step by step if possible

Mathematics

2 answers:

larisa [96]3 years ago

5 0

Answer:54 1/72

Step-by-step explanation: 1st you multiply the whole numbers. 2nd multiply denominators (8•9) =72 3rd put into fraction form. So your answer is 54 1/72. Does this make sense?

Masteriza [31]3 years ago

5 0

Step-by-step explanation:

First, turn the mixed fractions into improper fractions.

27 1/8 = 217/8

2 1/9 = 19/9

Next, mulitply the numerators and the denominators.

numerators- 217 x 19 = 4123

denominators- 8 x 9 = 72

= 4123/72

Since this fraction can not be simplifyed, the next step would be to divide the numerator by the denominator.

4123 ÷ 72= 57 R 19 (click the link for the long division)

https://www.calculatorsoup.com/calculators/math/longdivision.php?dvsor=72&dvdnd=4123&action=solve

= 57 19/72

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The square of a number is 12 less than 7 times the number. What is the number?

hjlf

Answer:

The number is either 3 or 4

Explanation:

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x

We are given that:

square of the number (x²) is 12 less than 7 times the number (7x)

Translating this into an equation, we would have:

x² = 7x - 12

Rearranging the quadratic equation:

x² - 7x + 12 = 0

Now, we factor the equation:

(x-4)(x-3) = 0

This means that:

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3

Let's check if any of the solutions is an extrovert:

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert

Since we have no restrictions on the number, therefore, both solutions would be accepted

Hope this helps :)

7 0

3 years ago

-4x + 7 = 2y - 3 y-intercept: x intercept:

pantera1 [17]

Answer:

x-intercept: $\bigg(\frac{5}{2}, \:0\bigg)$

y-intercept: $(0,\:5)$

Step-by-step explanation:

To find the x-intercept, substitute in $0$ for $y$ and solve for $x$ .

$-4x + 7 = 2y - 3$

$-4x+7=2\left(\bold{0}\right)-3$

Simplify 2(0): $-4x+7=2\cdot \:0-3$

Subtract 0 - 3 = -3: $-4x+7=-3$

Subtract 7 from both sides: $-4x+7-7=-3-7$

Simplify: $-4x=-10$

Divide both sides by -4 $\frac{-4x}{-4}=\frac{-10}{-4}$

$\bold{x=\frac{5}{2}}$

To find the y-intercept, substitute in $0$ for $x$ and solve for $y$ .

$-4x + 7 = 2y - 3$

$-4(\bold{0})+7=2y-3$

Switch sides: $y-3=-4\left(0\right)+7$

Simplify -4(0): $2y-3=-0+7$

Add 3 to both sides: $2y-3+3=7+3$

Simplify: $2y=10$

Divide both sides by 2: $\frac{2y}{2}=\frac{10}{2}$

$\bold{y=5}$

3 0

2 years ago

An airplane flies 2107 miles in 3 hours 35 minutes. What is its average speed in Files per hour?

worty [1.4K]

Answer:

9.8 miles per hour

3·60= 180+35=215 2107÷215=9.8

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2 years ago

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What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?

Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

$(x-h)^2 + (y-k)^2 = r^2$

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

$r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Given

$(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)$

Putting the values in the formula

$r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}$

Putting the values of h,k and r in general form of equation

$\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8$

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

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3 years ago

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2 years ago

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