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3 years ago

Find the product of 3 1/8 and 1 2/7. Express your answer in simplest form

Mathematics

1 answer:

earnstyle [38]3 years ago

4 0

Answer:

Step-by-step explanation:

$3\frac{1}{8}=\frac{3*8+1}{8}=\frac{24+1}{8}=\frac{25}{8}\\\\\\1\frac{2}{7}=\frac{9}{7}\\\\\\3\frac{1}{8}*1\frac{2}{7}=\frac{25}{8}*\frac{9}{7}=\frac{225}{56}=4\frac{1}{56}$

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Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

artcher [175]

Question is Incomplete;Complete question is given below;

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

What is his net pay?

Enter the answer to the nearest hundredth, such as $1234.56.

Answer:

Brian's Net pay is $945.08.

Step-by-step explanation:

Given:

Gross earnings for the week = $1227.38

Deductions = 23%

We need to find the net pay.

Solution:

First we will find the amount deducted.

amount deducted is equal to Deductions on Gross pay.

framing in equation form we get;

amount deducted = $\frac{23}{100}\times 1227.38 = \$282.2974$

Now we can say that;

Net pay is equal to Gross earnings minus amount deducted in tax.

framing in equation form we get;

Net pay = $1227.38-282.2974 = \$945.0826$

Rounding to nearest hundred we get;

Net pay = $945.08

Hence Brian's Net pay is $945.08.

6 0

3 years ago

Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a

jeka57 [31]

Answer:

$\\ \gamma= \frac{a\cdot b}{b\cdot b}$

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if $b \neq 0$ . Recall that given two vectors a,b a⊥ b if and only if $a\cdot b =0$ where $\cdot$ is the dot product defined in $\mathbb{R}^n$ . Suposse that $b\neq 0$ . We want to find γ such that $(a-\gamma b)\cdot b=0$ . Given that the dot product can be distributed and that it is linear, the following equation is obtained

$(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b$

Recall that $a\cdot b, b\cdot b$ are both real numbers, so by solving the value of γ, we get that

$\gamma= \frac{a\cdot b}{b\cdot b}$

By construction, this γ is unique if $b\neq 0$ , since if there was a $\gamma_2$ such that $(a-\gamma_2b)\cdot b = 0$ , then

$\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma$

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3 years ago

How do I convert 45 mi to km???

Kazeer [188]

The answer issssssssssssss 72.42

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4 years ago

Sum1 plssss help me!! i'll give brainliest!

Serga [27]

The range of the function is C.

When a questions asks about the RANGE of the function, they are specifically talking about Y-VALUES. If a questions asks about DOMAIN, they want the X-VALUES.

This is a quadratic function.

A and B could be eliminated right away since range asks for y-values, not x-values.

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3 years ago

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Simplify 38 over 49 what’s the anwswer

Katyanochek1 [597]

Answer: 38 over 49 can be written as 38/49. When divided, you will get 0.77551020408. It takes lots of regrouping, but it ends eventually.

If you are reducing it as a fraction, it is not possible because there is no other number to reduce it, so it will be in it's simplest form already.

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3 years ago

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