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8 months ago

(16+3)-10÷5×3^2? with explanation step by step

Mathematics

1 answer:

NemiM [27]8 months ago

7 0

$(16+3)-10\div5\times3^2\text{ = 1}$

Here, we want to simplify the given expression

We shall use the order of simplification for this

The order is PEDMAS

We shall start with the terms in parentheses before we move to the exponents

We have;

$\begin{gathered} (16+3)-10\div5\times3^2 \\ =\text{ 19-10}\div5\times3^2 \end{gathered}$

Next is the exponent

$=\text{ 19-10}\div5\times9$

The next thing to do is to divide

$=\text{ 19-}2\times9$

The next thing to do is to multiply

$=\text{ 19-18}$

We then proceed to subtract;

$=\text{ 19-18 = 1}$

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A manager checked production records and found that a worker produced 200 units while working 40 hours. In the previous week, th

jeka94

Answer:

a. Current: 5 units/hour. Previous: 4.4 units/hour

b. Increase

Step-by-step explanation:

a. Current period productivity is 200 / 40 = 5 units/hour

Previous period productivity is 132 / 30 = 4.4 units/hour

b. As this week's productivity = 5 units/hours which is larger than last week's productivity = 4.4 units/hour. The worker's productivity for this week has increased.

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3 years ago

In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Deter

anygoal [31]

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

$x_1 = 2009;\ y_1 = 10,002$

$x_2 = 2013;\ y_2 = 17,884$

The rate of change is calculate as follows;

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{10002 - 17884}{2009 - 2013}$

$m = \frac{-7882}{-4}$

$m = 1970.5$

Hence, the average rate of change is 1970.5 thousand

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3 years ago

Which of the following systems of linear equations has an infinite number of solutions?

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Answer:

{ y = 3x + 3

{ 3x - y = 3

(Just did the assignment 3/23/21)

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2 years ago

Evaluate the expression -7 1/4x + 3 5/8 for x= -4

Misha Larkins [42]

Answer:

32 5/8 (or 32 and 5/8)

Step-by-step explanation:

Okay, so this problem is asking for us to solve this problem with the substitution of a variable: x = -4. Before we fully solve this problem, we need to replace all of those x variables with -4 so that it is easier to solve.

-7 1/4(-4) + 3 5/8.

To make this problem even easier to solve, let's turn these mixed numbers into improper fractions. To do this, multiply the denominator by the whole number. Then add the numerator to this number. The new number that you just got is now your new numerator for this number.

-29/4(-4) + 3 5/8.

Repeat the last step to turn the other mixed number into an improper fraction.

-29/4(-4) + 29/8.

Now let's multiply that -4 by 29/4. Because a whole number technically has a denominator of 1, we can now set up the next part of our problem. (The symbol * means multiplication since we can't use x since it is already being used as a variable in this equation.)

(-29/4 * -4/1) + 29/8.

29 + 29/8.

Now to solve the rest of this problem, let's convert the whole number of 29 so that it has a denominator of 8. This is that these two numbers are addable.

29 x 8 = 232

1 x 8 = 8

Now these numbers are addable. So:

232/8 + 29/8 = 261/8 = 32 5/8.

I hope that this helps.

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2 years ago

which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term

Furkat [3]

Answer:

C. $\Rightarrow \bold{8x = 16}$

Step-by-step explanation:

Given the two equations:

$y=2x ........ (1)\\ 2x+3y=16.......(2)$

To find:

The correct option when value of y is substituted to 2nd equation using the 1st equation.

Solution:

First of all, let us learn about the substitution method.

Substitution method is the method to provide solutions to two variables when we have two equations and two variables.

In substitution method, we find the value of one variable in terms of the other variable and put this value in the other equation.

Now, the other equation becomes only single variable and then we solve for the variable's value.

Here, we have two equations and value of one varible is:

$y=2x$

Let us put value of y in 2nd equation:

$2x+3y=16\\\Rightarrow 2x + 3(2x) = 16\\\Rightarrow 2x + 6x = 16\\\Rightarrow \bold{8x=16}$

So, the correct answer is option C. $\Rightarrow \bold{8x = 16}$

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3 years ago