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4 years ago

Please Help me solve: 7/8 * 1/4 Please give your answer in simplest form, Thank You!

Mathematics

1 answer:

alukav5142 [94]4 years ago

7 0

Make them the same demonatator so 7/8 times 2/8 which equals 14 over 8 for a mixed number of 1 6/8

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Can you help me with this question?

Virty [35]

Answer:

2/3

3/2

Step-by-step explanation:

$\frac{27}{7} n>\frac{4}{3}$

$n>\frac{7}{27}*\frac{4}{3}$

$n>\frac{28}{81}$

5 0

3 years ago

16 out of 24 in simplest form

Aleks [24]

Do you mean 16/24 in simplest form? In that case it would be

16/24 = 8/12 = 4/6 = 2/3

4 0

3 years ago

Read 2 more answers

Michael Miller is paid twice a month and had total gross earnings as of 10/15 of $116,800. His gross earnings for the period end

iogann1982 [59]

Answer:

Medicare tax to be paid by Michael =$0

Medicare tax to be paid by the employer = $1780.6

Step-by-step explanation:

Total gross earnings as of 10/15 = $116800

Gross earnings for the period ending 10/31 = $6000

Since Michael Miller is paid twice a month, the gross earnings for the period ending 10/15 = $6000

Gross earnings for the month of October = 6000+6000

= $12000

Total gross earnings as of 10/31 = 116800 + 6000

= $122800

Security tax rate = 6.25%

So, security tax to be paid by Michael = 6.25% of 122800

= $\frac{6.25}{100}$ *122800

= 0.0625*122800

= $7675

Earnings of Michael after deducting the security tax= 122800 - 7675

= $115125

The medicare tax rate will be 1.45% on $122,700 earning or more.

As Michael's earning after the payment of security tax is $115125, so Michael does not need to pay any medicare tax.

So, Medicare tax to be paid by Michael =$0

Medicare tax to be paid by the employer = 1.45% of 122,800

= $\frac{1.45}{100}$ *122800

= 0.0145*122800

= $1780.6

7 0

3 years ago

Find the equation of the line that

Aleonysh [2.5K]

Answer:

y = 3x/2-14

Step-by-step explanation:

We are given that the line is perpendicular to y = -2/3 and contains (4,-8).

Perpendicular Def.

$\displaystyle \large{m_1m_2 = - 1}$

Both slopes multiply each others equal to -1.

Finding another slope that is perpendicular to -2/3, substitite m1 = -2/3 in.

$\displaystyle \large{ - \frac{2}{3} m_2 = - 1}$

Multiply both sides by 3.

$\displaystyle \large{ - \frac{2}{3} m_2( 3) = - 1(3)} \\ \displaystyle \large{ - 2 m_2= - 3} \\ \displaystyle \large{ m_2= \frac{3}{2} }$

Therefore, another slope that is perpendicular to -2/3 is 3/2.

Then rewrite in slope-intercept form.

Slope-Intercept

$\displaystyle \large{y = mx + b}$

where m = slope and b = y-intercept; substitute m = 3/2 in.

$\displaystyle \large{y = \frac{3}{2} x + b}$

Since the line contains (4,-8), substitute x = 4 and y = -8 in and solve for b.

$\displaystyle \large{ - 8 = \frac{3}{2} (4) + b} \\ \displaystyle \large{ - 8 = 3(2)+ b} \\ \displaystyle \large{ - 8 = 6 + b} \\ \displaystyle \large{ - 8 - 6 = b} \\ \displaystyle \large{ - 14 = b}$

Therefore, b is -14; rewrite again in slope-intercept form.

Thus:-

$\displaystyle \large{y = \frac{3}{2} x + b} \\ \displaystyle \large{y = \frac{3}{2} x - 14}$

4 0

2 years ago

the line passing through the points (1,2) and (x, 5) is perpendicular to a line that has a slope of 1/3. what is the value of x

gogolik [260]

Answer:

x= 0

Step-by-step explanation:

Let's form an equation using the slope of the line.

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate

Let the gradient of line be m.

$m = \frac{5 - 2}{x - 1}$

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

The product of the gradients of 2 perpendicular lines is -1.

m(⅓)= -1

$m = - 1 \div \frac{1}{3}$

m= -1 ×3

m= -3

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

$- 3(x - 1) = 3$

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

$x - 1 = - 1$

x= -1 +1

x= 0

5 0

3 years ago