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3 years ago

Use the order of operations to simplify the expression. 4[3+3(5-1)] What is the answer?

Mathematics

1 answer:

Nitella [24]3 years ago

3 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{60}}}}}$

Step-by-step explanation:

Using PEMDAS rule

Parentheses, Exponents , Multiplication, Division, Addition, Subtraction

$\sf{4 [ 3 + 3(5 - 1) ]}$

Subtract 1 from 5

$\longrightarrow{ \sf{4 [3 + 3 \times 4 ]}}$

Multiply the numbers : 3 and 4

$\longrightarrow{ \sf{4 [ 3 + 12 ]}}$

Add the numbers : 3 and 12

$\longrightarrow{ \sf{4 \times 15}}$

Multiply the numbers : 4 and 15

$\longrightarrow{ \sf{60}}$

Hope I helped!

Best regards! :D

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Last week 22 people worked a total of 1100 hours each person work the same number of hours which equation represents the situati

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I believe the answer is 50 hrs per person.

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3 years ago

Change each standard form equation to slope-intercept form!

goldenfox [79]

Hello!

Slope-intercept form is this one: $y=a*x+b$ where a is the slope and b the intercept.

So, for transforming these equations to Slope-Intercept you'll need to rearrange the equations by adding or subtracting the same amounts on both sides of the equation (as a rule of thumb, sums are transformed into subtractions and multiplications into divisions).

1) 3x + y = 12

You should notice that Y and X are on the same side of the equation, so by subtracting 3x on both sides of the equation you'll cancel X on the left side:

 $3x+y-3x=12-3x \\ y=12-3x$

To finish, we rearrange this equation to the form y=a*x+b

 $y=-3x+12$

So, the slope is -3 and the intercept is 12

2) 8=y+5x

You should notice that Y and X are on the same side of the equation, so by subtracting 5x on both sides of the equation you'll cancel X on the right side:

$8-5x=y+5x-5x \\ 8-5x=y$

To finish, we rearrange this equation to the form y=a*x+b

$y=-5x+8$

So, the slope is -5 and the intercept is 8

3) 6x + 3y = -9

You should notice that Y and X are on the same side of the equation, so by subtracting 6x on both sides of the equation you'll cancel X on the left side:

$6x+3y-6x=-9-6x \\ 3y=-9-6x$

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 3 to cancel this number on the left side.

$\frac{3}{3}y= \frac{9}{3}- \frac{6}{3}x \\ y=3-2x$

To finish, we rearrange this equation to the form y=a*x+b

$y=-2x+3$

So, the slope is -2 and the intercept is 3

4) x - 5y = 55

You should notice that Y and X are on the same side of the equation, so by subtracting x on both sides of the equation you'll cancel X on the left side:

$x-5y-x=-55-x \\ -5y=-55-x$

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -5 to cancel this number on the left side.

$\frac{-5}{-5}y= \frac{55}{-5}- \frac{1}{-5}x \\ y=-11+ \frac{1}{5}x$

To finish, we rearrange this equation to the form y=a*x+b

$y=\frac{1}{5}x-11$

So, the slope is 1/5 and the intercept is -11

5) -4x-y=-2
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the left side:

$-4x-y+4x=-2+4x \\ -y=2+4x$

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -1 to cancel this number on the left side.

$\frac{-1}{-1} y= \frac{-2}{-1}+ \frac{4}{-1}x \\ y=2-4x$

To finish, we rearrange this equation to the form y=a*x+b

$y=-4x+2$

So, the slope is -4 and the intercept is 2

6) -16 = -4x + 2y

You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the right side:

$-16+4x=-4x+2y+4x \\ -16+4x=2y$

Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 2 to cancel this number on the right side.

$\frac{-16}{2}+ \frac{4}{2} x= \frac{2}{2}y \\ -8+2x=y$

To finish, we rearrange this equation to the form y=a*x+b

$y=2x-8$

So, the slope is 2 and the intercept is -8

I hope that this helps. Have a nice day!

8 0

4 years ago

Guys pls help me!!!!!!!!

DENIUS [597]

Answer:

D. y = -x^2 + 1

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The sum of the first 200 terms of the arithmetic sequence with initial term 2 and common difference 3 is

Svetradugi [14.3K]

Answer: D. 60100

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 200 terms

a = 2

d = 3

Therefore, the sum of the first 200 terms, S200 would be

S200 = 200/2[2 × 2 + (200 - 1)3]

S200 = 100[4 + 597)

S200 = 100 × 601 = 60100

8 0

4 years ago

A lake was stocked with 360 trout. Each year, the population decreases by 10. The population of trout in

almond37 [142]

Answer:

Part A) The y-intercept is the point (0,360) and the x-intercept is the point (36,0)

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Find the intercepts

Let

x ----> the number of years

f(x) ----> the population of trout in the lake

we have

$f(x)=360-10x$

This is a linear function in slope intercept form

$f(x)=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

$m=-10\ \frac{trout}{year}$ ---> is negative because is a decreasing function

$b=360\ trouts$ ---> initial value

The y-intercept is the point (0,360)

Find the x-intercept

The x-intercept is the value of x when the value of f(x) is equal to zero

For f(x)=0

$0=360-10x$

Solve for x

$10x=360\\x=36$

The x-intercept is the point (36,0)

Part B) Graph the function

Plot the intercepts and join the points to graph the line

see the attached figure

Part C) Complete the interpretation of the intercepts

The x-intercept is the value of x when the value of f(x) is equal to zero

In this context, the x-intercept is the number of years, when the population of trouts is equal to zero

In 36 years, the population of trouts will be equal to zero

The y-intercept is the value of f(x) when the value of x is equal to zero

In this context, the y-intercept is the population of trouts when the number of years is equal to zero

Initially the population of trouts in the lake was 360 trouts

5 0

4 years ago